id
stringlengths 9
10
| submitter
stringlengths 1
64
⌀ | authors
stringlengths 4
23.3k
| title
stringlengths 1
294
| comments
stringlengths 1
658
⌀ | journal-ref
stringlengths 1
557
⌀ | doi
stringlengths 10
153
⌀ | report-no
stringlengths 2
479
⌀ | categories
stringlengths 5
102
| license
stringclasses 9
values | abstract
stringlengths 6
5.09k
| versions
list | update_date
stringlengths 10
10
| authors_parsed
list | embeddings
list | paper_title
stringlengths 4
229
⌀ | paper_url_abs
stringlengths 32
35
⌀ | paper_url_pdf
stringlengths 36
39
⌀ | repo_url
stringlengths 26
195
⌀ | is_official
bool 2
classes | mentioned_in_paper
bool 2
classes | pwc_url
stringlengths 40
81
⌀ | abs_enc
list |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1401.7626
|
Jacob Langham
|
Jacob Langham, Irina Biktasheva, Dwight Barkley
|
Asymptotic dynamics of reflecting spiral waves
|
14 pages, 13 figures
|
Phys. Rev. E 90, 062902 (2014)
|
10.1103/PhysRevE.90.062902
| null |
nlin.PS physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Resonantly forced spiral waves in excitable media drift in straight-line
paths, their rotation centers behaving as point-like objects moving along
trajectories with a constant velocity. Interaction with medium boundaries
alters this velocity and may often result in a reflection of the drift
trajectory. Such reflections have diverse characteristics and are known to be
highly nonspecular in general. In this context we apply the theory of response
functions, which via numerically computable integrals, reduces the
reaction-diffusion equations governing the whole excitable medium to the
dynamics of just the rotation center and rotation phase of a spiral wave.
Spiral reflection trajectories are computed by this method for both small- and
large-core spiral waves in the Barkley model. Such calculations provide insight
into the process of reflection as well as explanations for differences in
trajectories across parameters, including the effects of incidence angle and
forcing amplitude. Qualitative aspects of these results are preserved far
beyond the asymptotic limit of weak boundary effects and slow resonant drift.
|
[
{
"created": "Wed, 29 Jan 2014 19:11:33 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Dec 2014 18:49:50 GMT",
"version": "v2"
}
] |
2014-12-08
|
[
[
"Langham",
"Jacob",
""
],
[
"Biktasheva",
"Irina",
""
],
[
"Barkley",
"Dwight",
""
]
] |
[
-0.015811549499630928,
-0.06855762004852295,
0.04089121147990227,
-0.0015084826154634356,
-0.014142725616693497,
-0.05664072558283806,
-0.13927675783634186,
-0.04442629590630531,
0.014821083284914494,
-0.07067841291427612,
0.035760439932346344,
0.01621345616877079,
-0.013607186265289783,
-0.0592871755361557,
0.05967118591070175,
-0.020838836207985878,
0.004330263938754797,
-0.02073884941637516,
-0.016921978443861008,
0.03274662420153618,
-0.06254946440458298,
0.030765600502490997,
-0.07717516273260117,
0.01913842372596264,
0.07031016051769257,
-0.05225815996527672,
0.0698641687631607,
-0.020460063591599464,
-0.06121587008237839,
-0.06574247777462006,
0.09440287947654724,
0.052635520696640015,
-0.14181508123874664,
0.018021317198872566,
-0.05429217219352722,
0.03300749883055687,
-0.03539438918232918,
-0.017336571589112282,
0.00613776221871376,
-0.030053310096263885,
0.10347283631563187,
0.13409191370010376,
0.03770315647125244,
-0.00014249385276343673,
0.027511227875947952,
-0.024628713726997375,
0.05197791010141373,
0.009991700761020184,
-0.09963570535182953,
-0.04014936834573746,
-0.007650743704289198,
-0.021737586706876755,
-0.10100892931222916,
-0.00043564941734075546,
0.02139822021126747,
0.03530161827802658,
0.07500925660133362,
-0.040553782135248184,
0.04793185740709305,
-0.06225290894508362,
0.0324789322912693,
-0.03272185102105141,
-0.01720472052693367,
-0.04406273365020752,
-0.03412728011608124,
-0.039321646094322205,
0.006291407160460949,
0.05812926962971687,
0.028421128168702126,
0.061250798404216766,
-0.00994124822318554,
0.009662999771535397,
-0.02965501695871353,
-0.0320097915828228,
0.11041931807994843,
-0.056944455951452255,
-0.05364895239472389,
0.08342962712049484,
-0.016387516632676125,
0.012491419911384583,
-0.03105338290333748,
-0.057474151253700256,
-0.06576983630657196,
-0.036687493324279785,
-0.02453599125146866,
0.014487167820334435,
-0.010185185819864273,
0.047915805131196976,
0.00971891637891531,
0.04400157928466797,
0.0454745851457119,
-0.012343968264758587,
-0.016853274777531624,
-0.08711615204811096,
0.039616651833057404,
-0.00869148038327694,
0.03911163657903671,
-0.07370206713676453,
-0.004612985532730818,
-0.028856655582785606,
-0.01474208664149046,
-0.06332875043153763,
0.05280372127890587,
0.05544295534491539,
-0.004733976908028126,
-0.031589657068252563,
0.052513815462589264,
0.0702374204993248,
-0.10659721493721008,
0.086556576192379,
0.019071754068136215,
0.05290040746331215,
-0.024625197052955627,
0.05967319384217262,
0.12503662705421448,
-0.06745303422212601,
0.0340735949575901,
0.019453197717666626,
-0.020451851189136505,
-0.031330354511737823,
0.04308905079960823,
0.03386770933866501,
-0.07622572779655457,
0.033260032534599304,
-0.01660662703216076,
0.05234533175826073,
-0.04849420487880707,
3.851383492138152e-34,
0.05717994645237923,
0.10529427975416183,
-0.0498955175280571,
0.017761291936039925,
0.03725187107920647,
-0.07787631452083588,
0.035586003214120865,
-0.021417485550045967,
0.007554101292043924,
0.017176270484924316,
-0.07683916389942169,
0.06889702379703522,
-0.017859237268567085,
0.004727345425635576,
0.014985590241849422,
-0.007518232800066471,
0.01749340444803238,
0.010136601515114307,
-0.05261259153485298,
0.03160027787089348,
-0.02541223354637623,
0.05707405507564545,
-0.05588991567492485,
-0.04262937977910042,
-0.051250625401735306,
-0.018265973776578903,
-0.05187375470995903,
-0.03954845294356346,
-0.015633510425686836,
0.017414698377251625,
0.03901936113834381,
0.055854812264442444,
-0.04746514558792114,
0.00016593576583545655,
0.10149688273668289,
-0.0030811794567853212,
-0.02061614952981472,
-0.01993848755955696,
-0.03186170011758804,
0.05142220854759216,
-0.03590799495577812,
0.018210425972938538,
-0.08020862936973572,
0.08833243697881699,
0.028264859691262245,
-0.026081476360559464,
0.05866816267371178,
0.10373163968324661,
0.0474369078874588,
0.029156707227230072,
0.0034990983549505472,
-0.03648797795176506,
0.0006473616813309491,
0.0076507627964019775,
0.024166371673345566,
0.03161288797855377,
0.08117052912712097,
-0.028535334393382072,
-0.056709859520196915,
-0.03825759142637253,
0.1044992059469223,
-0.024414556100964546,
0.0942627489566803,
-0.012657351791858673,
0.07301471382379532,
0.06441645324230194,
-0.0599021390080452,
-0.007701094262301922,
-0.0052101765759289265,
-0.027851033955812454,
0.012761357240378857,
0.0453854575753212,
-0.0055355047807097435,
-0.007041864097118378,
0.060644205659627914,
-0.0682237297296524,
0.012328547425568104,
-0.007487297058105469,
0.0578511543571949,
0.05405062064528465,
-0.04381629079580307,
-0.022772347554564476,
-0.07878870517015457,
-0.03712846338748932,
0.04229336977005005,
0.0788029357790947,
0.024249257519841194,
-0.06446622312068939,
-0.04694778099656105,
-0.06763750314712524,
-0.02885783649981022,
0.09253771603107452,
0.07098530977964401,
0.007248010486364365,
0.027345461770892143,
-4.8188424802540094e-33,
0.002580734435468912,
-0.03816742077469826,
0.06969860196113586,
0.027585048228502274,
-0.043787240982055664,
0.12038811296224594,
0.0021707837004214525,
0.06411627680063248,
0.04595775902271271,
-0.05333651602268219,
0.013011864386498928,
-0.024223417043685913,
-0.041532568633556366,
0.07276880741119385,
0.045678187161684036,
-0.12190753221511841,
0.05586134269833565,
0.007702252361923456,
0.059849172830581665,
-0.06438209116458893,
0.00465357443317771,
-0.01460476964712143,
0.03641906753182411,
-0.0017623462481424212,
0.01620940864086151,
-0.03687399998307228,
-0.00015294569311663508,
0.019776377826929092,
0.013214962556958199,
0.008518872782588005,
-0.04281529411673546,
0.054735906422138214,
0.049295734614133835,
-0.05297049880027771,
-0.02574608102440834,
0.1688152253627777,
0.03136695176362991,
0.019463397562503815,
-0.015763593837618828,
-0.011792106553912163,
-0.010472143068909645,
-0.017763832584023476,
0.07886090129613876,
0.005636642687022686,
-0.05651470646262169,
-0.02297391928732395,
0.02378755994141102,
0.025081221014261246,
-0.006301284767687321,
0.046407606452703476,
0.032950788736343384,
0.005331071559339762,
0.0391085222363472,
0.042974524199962616,
-0.01456701010465622,
0.06841423362493515,
0.024548614397644997,
-0.05342205613851547,
0.09862948954105377,
-0.13642531633377075,
-0.10013049840927124,
0.03434373065829277,
-0.01906789466738701,
-0.08010371774435043,
-0.006672814022749662,
-0.016073375940322876,
-0.07548058032989502,
-0.1063106432557106,
-0.028038976714015007,
-0.027732471004128456,
-0.030468234792351723,
-0.012550142593681812,
-0.018223023042082787,
-0.01950738951563835,
-0.008483242243528366,
-0.07057908922433853,
-0.022362325340509415,
-0.10759036242961884,
-0.13205313682556152,
0.0015782156260684133,
0.026164602488279343,
0.08899739384651184,
-0.019378071650862694,
-0.10302544385194778,
-0.00602350477129221,
-0.1206711158156395,
-0.04699093848466873,
-0.04701004922389984,
-0.031217282637953758,
0.02407204918563366,
0.07989805191755295,
0.049344081431627274,
0.04190913215279579,
-0.003733033314347267,
0.044713541865348816,
-4.8096865157276625e-8,
0.021707670763134956,
0.029225675389170647,
-0.00936956238001585,
0.02903876081109047,
0.018585164099931717,
0.05746345967054367,
0.01679154485464096,
-0.092513307929039,
0.029748592525720596,
-0.04588967561721802,
0.014161908067762852,
-0.004863912705332041,
0.004398793447762728,
-0.043658822774887085,
-0.041541893035173416,
0.023580141365528107,
-0.06227473169565201,
-0.12553609907627106,
-0.023479966446757317,
-0.026471761986613274,
-0.03157011419534683,
0.006435669492930174,
0.012919982895255089,
-0.04455362632870674,
-0.0031314571388065815,
0.036995694041252136,
-0.06902256608009338,
-0.07190237194299698,
-0.07724828273057938,
0.009546319954097271,
-0.004450734239071608,
-0.0014825374819338322,
0.0016170645831152797,
0.006543698720633984,
-0.16504204273223877,
0.025094470009207726,
0.03348405659198761,
0.0111834816634655,
0.0036398866213858128,
0.008846654556691647,
-0.03604057803750038,
0.01879296265542507,
-0.03951370716094971,
-0.0020895730704069138,
0.01690807193517685,
0.053961023688316345,
0.009138433262705803,
0.02295365184545517,
-0.0017926698783412576,
0.09704970568418503,
-0.04956696555018425,
0.032324351370334625,
0.00942793395370245,
-0.005591169930994511,
0.021086132153868675,
0.05111179128289223,
-0.010961294174194336,
-0.08116783201694489,
0.04804074391722679,
-0.00724691292271018,
0.033444665372371674,
0.044606875628232956,
0.00516031589359045,
-0.010451450012624264
] | null | null | null | null | null | null | null |
[
-0.015811549499630928,
-0.06855762004852295,
0.04089121147990227,
-0.0015084826154634356,
-0.014142725616693497,
-0.05664072558283806,
-0.13927675783634186,
-0.04442629590630531,
0.014821083284914494,
-0.07067841291427612,
0.035760439932346344,
0.01621345616877079,
-0.013607186265289783,
-0.0592871755361557,
0.05967118591070175,
-0.020838836207985878,
0.004330263938754797,
-0.02073884941637516,
-0.016921978443861008,
0.03274662420153618,
-0.06254946440458298,
0.030765600502490997,
-0.07717516273260117,
0.01913842372596264,
0.07031016051769257,
-0.05225815996527672,
0.0698641687631607,
-0.020460063591599464,
-0.06121587008237839,
-0.06574247777462006,
0.09440287947654724,
0.052635520696640015,
-0.14181508123874664,
0.018021317198872566,
-0.05429217219352722,
0.03300749883055687,
-0.03539438918232918,
-0.017336571589112282,
0.00613776221871376,
-0.030053310096263885,
0.10347283631563187,
0.13409191370010376,
0.03770315647125244,
-0.00014249385276343673,
0.027511227875947952,
-0.024628713726997375,
0.05197791010141373,
0.009991700761020184,
-0.09963570535182953,
-0.04014936834573746,
-0.007650743704289198,
-0.021737586706876755,
-0.10100892931222916,
-0.00043564941734075546,
0.02139822021126747,
0.03530161827802658,
0.07500925660133362,
-0.040553782135248184,
0.04793185740709305,
-0.06225290894508362,
0.0324789322912693,
-0.03272185102105141,
-0.01720472052693367,
-0.04406273365020752,
-0.03412728011608124,
-0.039321646094322205,
0.006291407160460949,
0.05812926962971687,
0.028421128168702126,
0.061250798404216766,
-0.00994124822318554,
0.009662999771535397,
-0.02965501695871353,
-0.0320097915828228,
0.11041931807994843,
-0.056944455951452255,
-0.05364895239472389,
0.08342962712049484,
-0.016387516632676125,
0.012491419911384583,
-0.03105338290333748,
-0.057474151253700256,
-0.06576983630657196,
-0.036687493324279785,
-0.02453599125146866,
0.014487167820334435,
-0.010185185819864273,
0.047915805131196976,
0.00971891637891531,
0.04400157928466797,
0.0454745851457119,
-0.012343968264758587,
-0.016853274777531624,
-0.08711615204811096,
0.039616651833057404,
-0.00869148038327694,
0.03911163657903671,
-0.07370206713676453,
-0.004612985532730818,
-0.028856655582785606,
-0.01474208664149046,
-0.06332875043153763,
0.05280372127890587,
0.05544295534491539,
-0.004733976908028126,
-0.031589657068252563,
0.052513815462589264,
0.0702374204993248,
-0.10659721493721008,
0.086556576192379,
0.019071754068136215,
0.05290040746331215,
-0.024625197052955627,
0.05967319384217262,
0.12503662705421448,
-0.06745303422212601,
0.0340735949575901,
0.019453197717666626,
-0.020451851189136505,
-0.031330354511737823,
0.04308905079960823,
0.03386770933866501,
-0.07622572779655457,
0.033260032534599304,
-0.01660662703216076,
0.05234533175826073,
-0.04849420487880707,
3.851383492138152e-34,
0.05717994645237923,
0.10529427975416183,
-0.0498955175280571,
0.017761291936039925,
0.03725187107920647,
-0.07787631452083588,
0.035586003214120865,
-0.021417485550045967,
0.007554101292043924,
0.017176270484924316,
-0.07683916389942169,
0.06889702379703522,
-0.017859237268567085,
0.004727345425635576,
0.014985590241849422,
-0.007518232800066471,
0.01749340444803238,
0.010136601515114307,
-0.05261259153485298,
0.03160027787089348,
-0.02541223354637623,
0.05707405507564545,
-0.05588991567492485,
-0.04262937977910042,
-0.051250625401735306,
-0.018265973776578903,
-0.05187375470995903,
-0.03954845294356346,
-0.015633510425686836,
0.017414698377251625,
0.03901936113834381,
0.055854812264442444,
-0.04746514558792114,
0.00016593576583545655,
0.10149688273668289,
-0.0030811794567853212,
-0.02061614952981472,
-0.01993848755955696,
-0.03186170011758804,
0.05142220854759216,
-0.03590799495577812,
0.018210425972938538,
-0.08020862936973572,
0.08833243697881699,
0.028264859691262245,
-0.026081476360559464,
0.05866816267371178,
0.10373163968324661,
0.0474369078874588,
0.029156707227230072,
0.0034990983549505472,
-0.03648797795176506,
0.0006473616813309491,
0.0076507627964019775,
0.024166371673345566,
0.03161288797855377,
0.08117052912712097,
-0.028535334393382072,
-0.056709859520196915,
-0.03825759142637253,
0.1044992059469223,
-0.024414556100964546,
0.0942627489566803,
-0.012657351791858673,
0.07301471382379532,
0.06441645324230194,
-0.0599021390080452,
-0.007701094262301922,
-0.0052101765759289265,
-0.027851033955812454,
0.012761357240378857,
0.0453854575753212,
-0.0055355047807097435,
-0.007041864097118378,
0.060644205659627914,
-0.0682237297296524,
0.012328547425568104,
-0.007487297058105469,
0.0578511543571949,
0.05405062064528465,
-0.04381629079580307,
-0.022772347554564476,
-0.07878870517015457,
-0.03712846338748932,
0.04229336977005005,
0.0788029357790947,
0.024249257519841194,
-0.06446622312068939,
-0.04694778099656105,
-0.06763750314712524,
-0.02885783649981022,
0.09253771603107452,
0.07098530977964401,
0.007248010486364365,
0.027345461770892143,
-4.8188424802540094e-33,
0.002580734435468912,
-0.03816742077469826,
0.06969860196113586,
0.027585048228502274,
-0.043787240982055664,
0.12038811296224594,
0.0021707837004214525,
0.06411627680063248,
0.04595775902271271,
-0.05333651602268219,
0.013011864386498928,
-0.024223417043685913,
-0.041532568633556366,
0.07276880741119385,
0.045678187161684036,
-0.12190753221511841,
0.05586134269833565,
0.007702252361923456,
0.059849172830581665,
-0.06438209116458893,
0.00465357443317771,
-0.01460476964712143,
0.03641906753182411,
-0.0017623462481424212,
0.01620940864086151,
-0.03687399998307228,
-0.00015294569311663508,
0.019776377826929092,
0.013214962556958199,
0.008518872782588005,
-0.04281529411673546,
0.054735906422138214,
0.049295734614133835,
-0.05297049880027771,
-0.02574608102440834,
0.1688152253627777,
0.03136695176362991,
0.019463397562503815,
-0.015763593837618828,
-0.011792106553912163,
-0.010472143068909645,
-0.017763832584023476,
0.07886090129613876,
0.005636642687022686,
-0.05651470646262169,
-0.02297391928732395,
0.02378755994141102,
0.025081221014261246,
-0.006301284767687321,
0.046407606452703476,
0.032950788736343384,
0.005331071559339762,
0.0391085222363472,
0.042974524199962616,
-0.01456701010465622,
0.06841423362493515,
0.024548614397644997,
-0.05342205613851547,
0.09862948954105377,
-0.13642531633377075,
-0.10013049840927124,
0.03434373065829277,
-0.01906789466738701,
-0.08010371774435043,
-0.006672814022749662,
-0.016073375940322876,
-0.07548058032989502,
-0.1063106432557106,
-0.028038976714015007,
-0.027732471004128456,
-0.030468234792351723,
-0.012550142593681812,
-0.018223023042082787,
-0.01950738951563835,
-0.008483242243528366,
-0.07057908922433853,
-0.022362325340509415,
-0.10759036242961884,
-0.13205313682556152,
0.0015782156260684133,
0.026164602488279343,
0.08899739384651184,
-0.019378071650862694,
-0.10302544385194778,
-0.00602350477129221,
-0.1206711158156395,
-0.04699093848466873,
-0.04701004922389984,
-0.031217282637953758,
0.02407204918563366,
0.07989805191755295,
0.049344081431627274,
0.04190913215279579,
-0.003733033314347267,
0.044713541865348816,
-4.8096865157276625e-8,
0.021707670763134956,
0.029225675389170647,
-0.00936956238001585,
0.02903876081109047,
0.018585164099931717,
0.05746345967054367,
0.01679154485464096,
-0.092513307929039,
0.029748592525720596,
-0.04588967561721802,
0.014161908067762852,
-0.004863912705332041,
0.004398793447762728,
-0.043658822774887085,
-0.041541893035173416,
0.023580141365528107,
-0.06227473169565201,
-0.12553609907627106,
-0.023479966446757317,
-0.026471761986613274,
-0.03157011419534683,
0.006435669492930174,
0.012919982895255089,
-0.04455362632870674,
-0.0031314571388065815,
0.036995694041252136,
-0.06902256608009338,
-0.07190237194299698,
-0.07724828273057938,
0.009546319954097271,
-0.004450734239071608,
-0.0014825374819338322,
0.0016170645831152797,
0.006543698720633984,
-0.16504204273223877,
0.025094470009207726,
0.03348405659198761,
0.0111834816634655,
0.0036398866213858128,
0.008846654556691647,
-0.03604057803750038,
0.01879296265542507,
-0.03951370716094971,
-0.0020895730704069138,
0.01690807193517685,
0.053961023688316345,
0.009138433262705803,
0.02295365184545517,
-0.0017926698783412576,
0.09704970568418503,
-0.04956696555018425,
0.032324351370334625,
0.00942793395370245,
-0.005591169930994511,
0.021086132153868675,
0.05111179128289223,
-0.010961294174194336,
-0.08116783201694489,
0.04804074391722679,
-0.00724691292271018,
0.033444665372371674,
0.044606875628232956,
0.00516031589359045,
-0.010451450012624264
] |
1401.7631
|
Natalia Melnikova
|
N.B. Melnikova, D. Jordan, V.V. Krzhizhanovskaya, P.M.A. Sloot
|
Slope Instability of the Earthen Levee in Boston, UK: Numerical
Simulation and Sensor Data Analysis
| null | null | null | null |
cs.CE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The paper presents a slope stability analysis for a heterogeneous earthen
levee in Boston, UK, which is prone to occasional slope failures under tidal
loads. Dynamic behavior of the levee under tidal fluctuations was simulated
using a finite element model of variably saturated linear elastic perfectly
plastic soil. Hydraulic conductivities of the soil strata have been calibrated
according to piezometers readings, in order to obtain correct range of
hydraulic loads in tidal mode. Finite element simulation was complemented with
series of limit equilibrium analyses. Stability analyses have shown that slope
failure occurs with the development of a circular slip surface located in the
soft clay layer. Both models (FEM and LEM) confirm that the least stable
hydraulic condition is the combination of the minimum river levels at low tide
with the maximal saturation of soil layers. FEM results indicate that in winter
time the levee is almost at its limit state, at the margin of safety (strength
reduction factor values are 1.03 and 1.04 for the low-tide and high-tide
phases, respectively); these results agree with real-life observations. The
stability analyses have been implemented as real-time components integrated
into the UrbanFlood early warning system for flood protection.
|
[
{
"created": "Wed, 29 Jan 2014 19:27:24 GMT",
"version": "v1"
}
] |
2014-01-30
|
[
[
"Melnikova",
"N. B.",
""
],
[
"Jordan",
"D.",
""
],
[
"Krzhizhanovskaya",
"V. V.",
""
],
[
"Sloot",
"P. M. A.",
""
]
] |
[
0.0039376975037157536,
0.005496152210980654,
0.09951937198638916,
-0.04142291843891144,
0.003919276408851147,
-0.023819057270884514,
-0.1290455460548401,
0.05261224880814552,
-0.053024325519800186,
-0.00907161831855774,
-0.10496485978364944,
-0.1207612156867981,
0.049807071685791016,
0.0015234214952215552,
-0.015710223466157913,
0.06950584799051285,
-0.072054922580719,
0.022686060518026352,
-0.017242170870304108,
0.045579977333545685,
0.037821605801582336,
0.06912349909543991,
-0.049904268234968185,
-0.014372971840202808,
-0.07075637578964233,
0.08475656807422638,
-0.037174418568611145,
0.04672389104962349,
-0.020178768783807755,
-0.03107171691954136,
-0.04262520745396614,
-0.04846496507525444,
-0.0493638776242733,
-0.004553689155727625,
-0.04785909131169319,
0.08138509094715118,
-0.01663973554968834,
-0.09698159247636795,
-0.050852153450250626,
0.043916914612054825,
-0.009117234498262405,
-0.06753038614988327,
0.05683981627225876,
-0.05647152662277222,
0.02623138017952442,
0.025869831442832947,
0.08581413328647614,
-0.047413360327482224,
-0.03936123847961426,
0.005969026125967503,
0.08788192272186279,
-0.01458662562072277,
0.014250526204705238,
0.02471587434411049,
-0.0769808366894722,
-0.0519079752266407,
0.04447539523243904,
0.008834264241158962,
0.004351957701146603,
0.02341786026954651,
-0.018268296495079994,
0.0541621595621109,
0.019151901826262474,
-0.028367558494210243,
0.034366365522146225,
0.06783941388130188,
-0.07420575618743896,
-0.02407141961157322,
-0.007125095929950476,
0.008105403743684292,
-0.04169658198952675,
-0.04351044446229935,
0.041052233427762985,
-0.06651724129915237,
0.005538758356124163,
-0.10435386002063751,
0.011439207009971142,
0.06190500780940056,
-0.043312378227710724,
-0.07962208986282349,
-0.05176682025194168,
-0.0012412400683388114,
0.041297927498817444,
-0.06892931461334229,
-0.0678553357720375,
0.004981386940926313,
0.08424489945173264,
0.045136064291000366,
0.12035360932350159,
0.04630984738469124,
0.07439835369586945,
0.11426851153373718,
-0.05355486273765564,
0.09062141925096512,
0.1364968717098236,
0.06164992228150368,
-0.051647257059812546,
-0.10026843100786209,
-0.008539746515452862,
0.024085497483611107,
-0.04447804018855095,
0.07831036299467087,
0.022459693253040314,
0.0170274768024683,
0.08770154416561127,
-0.04334370419383049,
0.0308030154556036,
-0.02710597775876522,
-0.046348534524440765,
0.04887024685740471,
0.03236975520849228,
-0.015079920180141926,
0.09342524409294128,
0.06357578188180923,
-0.053708117455244064,
-0.13562844693660736,
-0.04753832146525383,
0.018346121534705162,
-0.03867848590016365,
-0.011950495652854443,
0.07715092599391937,
-0.026767197996377945,
0.06152677908539772,
0.00504226703196764,
0.06693479418754578,
0.050688426941633224,
-0.023699412122368813,
2.973986013901002e-33,
0.03580348193645477,
-0.07054169476032257,
-0.01880105771124363,
-0.0006880578002892435,
0.013216504827141762,
-0.021978411823511124,
-0.025333667173981667,
0.06149830296635628,
-0.0023691800888627768,
-0.005359766073524952,
-0.019818011671304703,
-0.024338552728295326,
-0.09101048856973648,
-0.024808960035443306,
-0.025007762014865875,
0.046381980180740356,
0.011139298789203167,
-0.08712966740131378,
0.016949385404586792,
0.00477133272215724,
-0.05208113044500351,
-0.1442190408706665,
0.028487179428339005,
-0.10141219198703766,
-0.06180915981531143,
-0.018516305834054947,
0.03302827849984169,
0.08149008452892303,
-0.05532703176140785,
-0.021445060148835182,
0.013701147399842739,
-0.06394953280687332,
0.004371528048068285,
-0.05648142844438553,
0.026150766760110855,
0.04444900155067444,
-0.009402265772223473,
0.004092483781278133,
-0.0320449098944664,
0.015607239678502083,
0.02703673392534256,
-0.0028703096322715282,
0.09279739856719971,
0.01723826676607132,
0.027448000386357307,
-0.04086267575621605,
0.1036929041147232,
-0.011785544455051422,
0.041311923414468765,
0.0055382330901920795,
0.056326210498809814,
-0.02092413790524006,
-0.10469508916139603,
-0.025077540427446365,
0.006799531634896994,
0.08411014825105667,
-0.040555186569690704,
0.060130633413791656,
-0.09534714370965958,
0.04754456505179405,
-0.058538079261779785,
0.0323808379471302,
0.10880204290151596,
-0.07130345702171326,
0.060116957873106,
-0.02145877107977867,
0.02772187441587448,
0.08897549659013748,
-0.057099852710962296,
-0.08284617215394974,
0.0037314167711883783,
-0.08365412056446075,
0.09135204553604126,
0.05714337155222893,
-0.061817020177841187,
-0.07231441885232925,
0.0577511303126812,
-0.047335851937532425,
0.04820454865694046,
0.010067306458950043,
-0.011489859782159328,
0.023883799090981483,
0.02308790199458599,
-0.03625159710645676,
0.005460524931550026,
0.014309801161289215,
0.038476310670375824,
-0.005683937110006809,
0.005294185131788254,
0.006438641343265772,
-0.07168949395418167,
0.006945655681192875,
0.03830597922205925,
-0.07105466723442078,
0.025025473907589912,
-3.950178970961217e-33,
-0.05547249689698219,
-0.0071921576745808125,
-0.07973431795835495,
0.06589793413877487,
-0.00579315610229969,
-0.019071264192461967,
0.024624953046441078,
0.011865691281855106,
0.015085283666849136,
0.05829785019159317,
-0.023416223004460335,
0.00011566025204956532,
0.004308238159865141,
0.029285630211234093,
0.04938500374555588,
0.003999995067715645,
-0.06193730607628822,
-0.07560992985963821,
0.04113219305872917,
0.005488749593496323,
0.017937900498509407,
0.011864909902215004,
-0.06442753225564957,
0.034598205238580704,
-0.007770110387355089,
0.001722107408568263,
-0.09587537497282028,
0.06336041539907455,
-0.021382849663496017,
-0.022911889478564262,
0.0010986608685925603,
0.03518187627196312,
-0.011207765899598598,
-0.05278041958808899,
0.014042017981410027,
-0.02984965778887272,
0.028929345309734344,
-0.09553749859333038,
0.050800129771232605,
0.03194838762283325,
0.03456245735287666,
-0.00784049928188324,
0.06357527524232864,
-0.14154542982578278,
0.012349055148661137,
0.05869336053729057,
0.06086018681526184,
0.050424981862306595,
-0.0003934715932700783,
0.03312769532203674,
0.008747050538659096,
0.01403210498392582,
-0.04530538618564606,
0.012605707161128521,
0.03768795356154442,
-0.015643829479813576,
-0.006780068390071392,
0.04585466533899307,
-0.10872642695903778,
-0.025524282827973366,
-0.011074892245233059,
-0.014148996211588383,
0.005112526006996632,
0.0017541919369250536,
-0.0070691192522645,
0.057575523853302,
-0.0297198798507452,
-0.03352818265557289,
-0.020353423431515694,
0.1325864940881729,
-0.036456987261772156,
-0.01564721390604973,
0.07380617409944534,
-0.037368420511484146,
0.023618439212441444,
-0.005703854374587536,
0.0070318132638931274,
0.008423739112913609,
-0.025641821324825287,
-0.02034619078040123,
-0.004860405344516039,
0.10892768204212189,
-0.02303922176361084,
0.04803123325109482,
-0.03145699203014374,
-0.042757466435432434,
0.03074166364967823,
-0.02957846224308014,
0.04509922116994858,
0.04516812041401863,
0.05140729621052742,
-0.022021062672138214,
-0.07558970153331757,
0.026519184932112694,
-0.04893587902188301,
-4.961828281579983e-8,
-0.003312585176900029,
0.015024914406239986,
-0.02746179886162281,
-0.007657695561647415,
0.019339147955179214,
-0.00986799132078886,
0.08076874911785126,
-0.10088597983121872,
0.05702413246035576,
-0.08801636844873428,
-0.01519181951880455,
-0.015669366344809532,
-0.031248072162270546,
-0.042555734515190125,
0.005008006002753973,
-0.000645168125629425,
0.027997437864542007,
0.026706859469413757,
-0.04086480662226677,
0.004480077885091305,
0.0166467372328043,
0.01462195161730051,
-0.09227482974529266,
0.00957243237644434,
0.0756373479962349,
-0.04456423223018646,
0.06586125493049622,
0.013034573756158352,
-0.05593042075634003,
0.010317718610167503,
0.031051496043801308,
0.0014261193573474884,
0.004501799587160349,
0.0001748347276588902,
0.03844176605343819,
0.0627031996846199,
0.035638727247714996,
0.0062094987370073795,
0.07002868503332138,
0.06920473277568817,
0.027725715190172195,
0.050748247653245926,
-0.008186482824385166,
-0.063472218811512,
0.04671623557806015,
0.06989117711782455,
-0.07243847101926804,
0.018081432208418846,
0.06490849703550339,
-0.022843031212687492,
-0.019038809463381767,
0.02323506586253643,
0.049475185573101044,
0.10212093591690063,
0.09124498069286346,
0.016298288479447365,
-0.021595031023025513,
-0.03566964343190193,
-0.010923302732408047,
0.031116796657443047,
-0.061411671340465546,
-0.004761633463203907,
0.04136865213513374,
-0.06186169758439064
] | null | null | null | null | null | null | null |
[
0.0039376975037157536,
0.005496152210980654,
0.09951937198638916,
-0.04142291843891144,
0.003919276408851147,
-0.023819057270884514,
-0.1290455460548401,
0.05261224880814552,
-0.053024325519800186,
-0.00907161831855774,
-0.10496485978364944,
-0.1207612156867981,
0.049807071685791016,
0.0015234214952215552,
-0.015710223466157913,
0.06950584799051285,
-0.072054922580719,
0.022686060518026352,
-0.017242170870304108,
0.045579977333545685,
0.037821605801582336,
0.06912349909543991,
-0.049904268234968185,
-0.014372971840202808,
-0.07075637578964233,
0.08475656807422638,
-0.037174418568611145,
0.04672389104962349,
-0.020178768783807755,
-0.03107171691954136,
-0.04262520745396614,
-0.04846496507525444,
-0.0493638776242733,
-0.004553689155727625,
-0.04785909131169319,
0.08138509094715118,
-0.01663973554968834,
-0.09698159247636795,
-0.050852153450250626,
0.043916914612054825,
-0.009117234498262405,
-0.06753038614988327,
0.05683981627225876,
-0.05647152662277222,
0.02623138017952442,
0.025869831442832947,
0.08581413328647614,
-0.047413360327482224,
-0.03936123847961426,
0.005969026125967503,
0.08788192272186279,
-0.01458662562072277,
0.014250526204705238,
0.02471587434411049,
-0.0769808366894722,
-0.0519079752266407,
0.04447539523243904,
0.008834264241158962,
0.004351957701146603,
0.02341786026954651,
-0.018268296495079994,
0.0541621595621109,
0.019151901826262474,
-0.028367558494210243,
0.034366365522146225,
0.06783941388130188,
-0.07420575618743896,
-0.02407141961157322,
-0.007125095929950476,
0.008105403743684292,
-0.04169658198952675,
-0.04351044446229935,
0.041052233427762985,
-0.06651724129915237,
0.005538758356124163,
-0.10435386002063751,
0.011439207009971142,
0.06190500780940056,
-0.043312378227710724,
-0.07962208986282349,
-0.05176682025194168,
-0.0012412400683388114,
0.041297927498817444,
-0.06892931461334229,
-0.0678553357720375,
0.004981386940926313,
0.08424489945173264,
0.045136064291000366,
0.12035360932350159,
0.04630984738469124,
0.07439835369586945,
0.11426851153373718,
-0.05355486273765564,
0.09062141925096512,
0.1364968717098236,
0.06164992228150368,
-0.051647257059812546,
-0.10026843100786209,
-0.008539746515452862,
0.024085497483611107,
-0.04447804018855095,
0.07831036299467087,
0.022459693253040314,
0.0170274768024683,
0.08770154416561127,
-0.04334370419383049,
0.0308030154556036,
-0.02710597775876522,
-0.046348534524440765,
0.04887024685740471,
0.03236975520849228,
-0.015079920180141926,
0.09342524409294128,
0.06357578188180923,
-0.053708117455244064,
-0.13562844693660736,
-0.04753832146525383,
0.018346121534705162,
-0.03867848590016365,
-0.011950495652854443,
0.07715092599391937,
-0.026767197996377945,
0.06152677908539772,
0.00504226703196764,
0.06693479418754578,
0.050688426941633224,
-0.023699412122368813,
2.973986013901002e-33,
0.03580348193645477,
-0.07054169476032257,
-0.01880105771124363,
-0.0006880578002892435,
0.013216504827141762,
-0.021978411823511124,
-0.025333667173981667,
0.06149830296635628,
-0.0023691800888627768,
-0.005359766073524952,
-0.019818011671304703,
-0.024338552728295326,
-0.09101048856973648,
-0.024808960035443306,
-0.025007762014865875,
0.046381980180740356,
0.011139298789203167,
-0.08712966740131378,
0.016949385404586792,
0.00477133272215724,
-0.05208113044500351,
-0.1442190408706665,
0.028487179428339005,
-0.10141219198703766,
-0.06180915981531143,
-0.018516305834054947,
0.03302827849984169,
0.08149008452892303,
-0.05532703176140785,
-0.021445060148835182,
0.013701147399842739,
-0.06394953280687332,
0.004371528048068285,
-0.05648142844438553,
0.026150766760110855,
0.04444900155067444,
-0.009402265772223473,
0.004092483781278133,
-0.0320449098944664,
0.015607239678502083,
0.02703673392534256,
-0.0028703096322715282,
0.09279739856719971,
0.01723826676607132,
0.027448000386357307,
-0.04086267575621605,
0.1036929041147232,
-0.011785544455051422,
0.041311923414468765,
0.0055382330901920795,
0.056326210498809814,
-0.02092413790524006,
-0.10469508916139603,
-0.025077540427446365,
0.006799531634896994,
0.08411014825105667,
-0.040555186569690704,
0.060130633413791656,
-0.09534714370965958,
0.04754456505179405,
-0.058538079261779785,
0.0323808379471302,
0.10880204290151596,
-0.07130345702171326,
0.060116957873106,
-0.02145877107977867,
0.02772187441587448,
0.08897549659013748,
-0.057099852710962296,
-0.08284617215394974,
0.0037314167711883783,
-0.08365412056446075,
0.09135204553604126,
0.05714337155222893,
-0.061817020177841187,
-0.07231441885232925,
0.0577511303126812,
-0.047335851937532425,
0.04820454865694046,
0.010067306458950043,
-0.011489859782159328,
0.023883799090981483,
0.02308790199458599,
-0.03625159710645676,
0.005460524931550026,
0.014309801161289215,
0.038476310670375824,
-0.005683937110006809,
0.005294185131788254,
0.006438641343265772,
-0.07168949395418167,
0.006945655681192875,
0.03830597922205925,
-0.07105466723442078,
0.025025473907589912,
-3.950178970961217e-33,
-0.05547249689698219,
-0.0071921576745808125,
-0.07973431795835495,
0.06589793413877487,
-0.00579315610229969,
-0.019071264192461967,
0.024624953046441078,
0.011865691281855106,
0.015085283666849136,
0.05829785019159317,
-0.023416223004460335,
0.00011566025204956532,
0.004308238159865141,
0.029285630211234093,
0.04938500374555588,
0.003999995067715645,
-0.06193730607628822,
-0.07560992985963821,
0.04113219305872917,
0.005488749593496323,
0.017937900498509407,
0.011864909902215004,
-0.06442753225564957,
0.034598205238580704,
-0.007770110387355089,
0.001722107408568263,
-0.09587537497282028,
0.06336041539907455,
-0.021382849663496017,
-0.022911889478564262,
0.0010986608685925603,
0.03518187627196312,
-0.011207765899598598,
-0.05278041958808899,
0.014042017981410027,
-0.02984965778887272,
0.028929345309734344,
-0.09553749859333038,
0.050800129771232605,
0.03194838762283325,
0.03456245735287666,
-0.00784049928188324,
0.06357527524232864,
-0.14154542982578278,
0.012349055148661137,
0.05869336053729057,
0.06086018681526184,
0.050424981862306595,
-0.0003934715932700783,
0.03312769532203674,
0.008747050538659096,
0.01403210498392582,
-0.04530538618564606,
0.012605707161128521,
0.03768795356154442,
-0.015643829479813576,
-0.006780068390071392,
0.04585466533899307,
-0.10872642695903778,
-0.025524282827973366,
-0.011074892245233059,
-0.014148996211588383,
0.005112526006996632,
0.0017541919369250536,
-0.0070691192522645,
0.057575523853302,
-0.0297198798507452,
-0.03352818265557289,
-0.020353423431515694,
0.1325864940881729,
-0.036456987261772156,
-0.01564721390604973,
0.07380617409944534,
-0.037368420511484146,
0.023618439212441444,
-0.005703854374587536,
0.0070318132638931274,
0.008423739112913609,
-0.025641821324825287,
-0.02034619078040123,
-0.004860405344516039,
0.10892768204212189,
-0.02303922176361084,
0.04803123325109482,
-0.03145699203014374,
-0.042757466435432434,
0.03074166364967823,
-0.02957846224308014,
0.04509922116994858,
0.04516812041401863,
0.05140729621052742,
-0.022021062672138214,
-0.07558970153331757,
0.026519184932112694,
-0.04893587902188301,
-4.961828281579983e-8,
-0.003312585176900029,
0.015024914406239986,
-0.02746179886162281,
-0.007657695561647415,
0.019339147955179214,
-0.00986799132078886,
0.08076874911785126,
-0.10088597983121872,
0.05702413246035576,
-0.08801636844873428,
-0.01519181951880455,
-0.015669366344809532,
-0.031248072162270546,
-0.042555734515190125,
0.005008006002753973,
-0.000645168125629425,
0.027997437864542007,
0.026706859469413757,
-0.04086480662226677,
0.004480077885091305,
0.0166467372328043,
0.01462195161730051,
-0.09227482974529266,
0.00957243237644434,
0.0756373479962349,
-0.04456423223018646,
0.06586125493049622,
0.013034573756158352,
-0.05593042075634003,
0.010317718610167503,
0.031051496043801308,
0.0014261193573474884,
0.004501799587160349,
0.0001748347276588902,
0.03844176605343819,
0.0627031996846199,
0.035638727247714996,
0.0062094987370073795,
0.07002868503332138,
0.06920473277568817,
0.027725715190172195,
0.050748247653245926,
-0.008186482824385166,
-0.063472218811512,
0.04671623557806015,
0.06989117711782455,
-0.07243847101926804,
0.018081432208418846,
0.06490849703550339,
-0.022843031212687492,
-0.019038809463381767,
0.02323506586253643,
0.049475185573101044,
0.10212093591690063,
0.09124498069286346,
0.016298288479447365,
-0.021595031023025513,
-0.03566964343190193,
-0.010923302732408047,
0.031116796657443047,
-0.061411671340465546,
-0.004761633463203907,
0.04136865213513374,
-0.06186169758439064
] |
1401.7635
|
Martin Monperrus
|
Benoit Baudry (INRIA - IRISA), Simon Allier (INRIA - IRISA), Martin
Monperrus (INRIA Lille - Nord Europe)
|
Tailored Source Code Transformations to Synthesize Computationally
Diverse Program Variants
| null |
Proceedings of the International Symposium on Software Testing and
Analysis, 2014
|
10.1145/2610384.2610415
| null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The predictability of program execution provides attackers a rich source of
knowledge who can exploit it to spy or remotely control the program. Moving
target defense addresses this issue by constantly switching between many
diverse variants of a program, which reduces the certainty that an attacker can
have about the program execution. The effectiveness of this approach relies on
the availability of a large number of software variants that exhibit different
executions. However, current approaches rely on the natural diversity provided
by off-the-shelf components, which is very limited. In this paper, we explore
the automatic synthesis of large sets of program variants, called sosies.
Sosies provide the same expected functionality as the original program, while
exhibiting different executions. They are said to be computationally diverse.
This work addresses two objectives: comparing different transformations for
increasing the likelihood of sosie synthesis (densifying the search space for
sosies); demonstrating computation diversity in synthesized sosies. We
synthesized 30184 sosies in total, for 9 large, real-world, open source
applications. For all these programs we identified one type of program analysis
that systematically increases the density of sosies; we measured computation
diversity for sosies of 3 programs and found diversity in method calls or data
in more than 40% of sosies. This is a step towards controlled massive
unpredictability of software.
|
[
{
"created": "Wed, 29 Jan 2014 19:35:42 GMT",
"version": "v1"
}
] |
2021-11-12
|
[
[
"Baudry",
"Benoit",
"",
"INRIA - IRISA"
],
[
"Allier",
"Simon",
"",
"INRIA - IRISA"
],
[
"Monperrus",
"Martin",
"",
"INRIA Lille - Nord Europe"
]
] |
[
-0.03348878398537636,
-0.010058201849460602,
-0.041011784225702286,
-0.037326205521821976,
0.07174001634120941,
-0.054392244666814804,
0.014385812915861607,
-0.010321447625756264,
0.0078102718107402325,
-0.002863745205104351,
-0.07569873332977295,
-0.09522467851638794,
0.08963228762149811,
-0.050965119153261185,
0.022666938602924347,
-0.022331390529870987,
0.0010235168738290668,
0.01868242584168911,
-0.03821885585784912,
-0.06808585673570633,
-0.05879678204655647,
-0.0021853342186659575,
0.004502397961914539,
0.03167758136987686,
-0.01108071394264698,
0.0076202405616641045,
0.01118594128638506,
-0.04779195412993431,
-0.02783752977848053,
-0.042604122310876846,
0.05859536677598953,
0.06527170538902283,
-0.04166462644934654,
-0.012943507172167301,
-0.009781615808606148,
0.030249474570155144,
-0.06112675368785858,
-0.005618644878268242,
-0.001283374265767634,
-0.022662043571472168,
-0.08016719669103622,
0.04413646459579468,
-0.01919553242623806,
0.07841753959655762,
-0.07691818475723267,
-0.03334980830550194,
-0.005497172009199858,
-0.011340425349771976,
-0.04759247973561287,
-0.06230827420949936,
-0.03322047367691994,
-0.0401485413312912,
-0.041758663952350616,
-0.021650465205311775,
-0.0060547529719769955,
-0.10583948343992233,
0.0429670475423336,
-0.005653499159961939,
0.0665455311536789,
0.031026948243379593,
-0.03788525611162186,
-0.014663717709481716,
-0.024545719847083092,
-0.025666063651442528,
-0.013139426708221436,
0.02536470629274845,
0.09852852672338486,
-0.0161058958619833,
0.07057031989097595,
-0.018155371770262718,
-0.04415014386177063,
0.07348401099443436,
-0.03972986713051796,
0.05529225245118141,
0.023628445342183113,
0.053224366158246994,
-0.0007092973100952804,
0.027022585272789,
-0.0444428026676178,
-0.1422305852174759,
0.05593620613217354,
0.015790579840540886,
-0.04547788202762604,
0.06696514040231705,
0.07323133945465088,
0.03501114994287491,
0.0023739803582429886,
0.04529612138867378,
0.14949209988117218,
0.06625039875507355,
-0.053339213132858276,
0.03262544423341751,
0.08604466915130615,
0.013646158389747143,
0.060254957526922226,
0.03912690281867981,
0.05473649501800537,
-0.06485747545957565,
0.039695508778095245,
0.11403389275074005,
-0.021464109420776367,
0.015178090892732143,
0.0469055101275444,
-0.09079538285732269,
0.07332143187522888,
0.018336525186896324,
0.03464812785387039,
-0.03569788485765457,
-0.018903331831097603,
-0.05796503275632858,
-0.0035222836304455996,
-0.005178414285182953,
0.0038806486409157515,
-0.05142773315310478,
0.01909298077225685,
0.003285112790763378,
0.00839183945208788,
0.014003941789269447,
-0.08793724328279495,
0.1332745999097824,
0.05879655107855797,
0.011363934725522995,
0.044727448374032974,
0.03878265991806984,
-0.03741100803017616,
0.020596204325556755,
-0.12315095961093903,
4.647822929559744e-34,
0.015245017595589161,
0.015149309299886227,
-0.06094072014093399,
0.06339817494153976,
0.02598693035542965,
-0.07629913836717606,
0.0666884034872055,
0.10127827525138855,
-0.09680788964033127,
-0.014025718905031681,
-0.005234093870967627,
0.0060550756752491,
0.024166712537407875,
0.09778522700071335,
0.14284688234329224,
0.04339057207107544,
0.014432673342525959,
0.05798053741455078,
-0.05640445649623871,
-0.07362225651741028,
0.05654427781701088,
0.04202702268958092,
-0.046371374279260635,
-0.040457528084516525,
0.01136752124875784,
-0.030445268377661705,
-0.047001708298921585,
0.017351362854242325,
0.0070180646143853664,
0.00895616039633751,
-0.0315469466149807,
0.0036308139096945524,
0.003416811116039753,
0.09606719762086868,
0.10576898604631424,
-0.032488103955984116,
-0.05989746004343033,
-0.05459405481815338,
0.03839633986353874,
0.06564541161060333,
0.02637643925845623,
0.017941784113645554,
0.014616861008107662,
-0.0025715017691254616,
0.041643206030130386,
-0.031178312376141548,
-0.09625816345214844,
0.0030581734608858824,
-0.05502431467175484,
-0.055055949836969376,
0.04060031473636627,
0.0607786662876606,
0.02347913198173046,
0.05484575033187866,
-0.08571424335241318,
-0.0698213130235672,
-0.038949958980083466,
0.016423169523477554,
0.1270231306552887,
0.07625530660152435,
-0.04725782200694084,
0.05156586691737175,
-0.049160994589328766,
0.007805366534739733,
-0.012718608602881432,
-0.01755135878920555,
-0.016017604619264603,
0.03713348135352135,
0.008788230828940868,
0.09384819865226746,
-0.02170901745557785,
-0.03072245791554451,
0.04227392375469208,
0.03076205961406231,
-0.024992866441607475,
-0.005612263455986977,
0.04454314708709717,
-0.02823854424059391,
0.036073438823223114,
-0.11979087442159653,
-0.040247462689876556,
0.0808672308921814,
0.03125280141830444,
-0.033920686691999435,
-0.05521438270807266,
-0.08206834644079208,
-0.061239250004291534,
-0.04725902900099754,
-0.07997158914804459,
0.05442893132567406,
-0.05654532089829445,
-0.08736611902713776,
-0.021953502669930458,
-0.05386205390095711,
-0.002424947451800108,
-2.853456700639439e-33,
-0.10970251262187958,
-0.006405767053365707,
-0.05977322906255722,
-0.00006310072785709053,
-0.08619891852140427,
-0.051148977130651474,
-0.03963105380535126,
-0.026000959798693657,
-0.0692993775010109,
-0.019988449290394783,
-0.09391474723815918,
-0.0007356615387834609,
0.10932343453168869,
-0.02910582348704338,
0.01612105965614319,
0.002769854385405779,
0.036867935210466385,
0.03977260738611221,
-0.013545912690460682,
0.033167771995067596,
0.011004330590367317,
0.05872306227684021,
-0.04820447042584419,
-0.0319342203438282,
0.029000964015722275,
-0.003289387794211507,
-0.0022005606442689896,
0.03712749481201172,
0.0441296212375164,
0.010905507951974869,
-0.0389995351433754,
0.004870974458754063,
-0.08115410804748535,
-0.010206397622823715,
-0.0021537623833864927,
0.009810450486838818,
0.07078960537910461,
0.06737816333770752,
-0.011100671254098415,
0.012490644119679928,
0.003047224134206772,
-0.062952421605587,
0.03676360473036766,
0.04327839985489845,
0.004977873060852289,
0.04502486810088158,
-0.09553413093090057,
0.029835278168320656,
0.04804636165499687,
-0.0469665564596653,
0.025896843522787094,
0.008635148406028748,
0.03528088703751564,
-0.025755474343895912,
0.010861529968678951,
-0.044735074043273926,
0.06631530821323395,
-0.0016333122039213777,
0.012294519692659378,
-0.002460380783304572,
0.017117170616984367,
-0.07697232067584991,
0.020981114357709885,
-0.016417749226093292,
0.029461953788995743,
-0.007899943739175797,
-0.10357697308063507,
-0.06553720682859421,
-0.020785879343748093,
0.037107523530721664,
0.03475164994597435,
-0.04561678692698479,
-0.09167934209108353,
-0.02390003204345703,
-0.06858029961585999,
0.0032183409202843904,
0.056206490844488144,
-0.06312395632266998,
-0.07240952551364899,
0.08813031017780304,
0.04544203355908394,
-0.03022141195833683,
0.08770128339529037,
-0.04659771919250488,
-0.026429342105984688,
0.07523252069950104,
-0.01302036177366972,
0.04770953580737114,
0.021448927000164986,
0.028292637318372726,
-0.013430565595626831,
0.05720546096563339,
-0.03205786272883415,
-0.002609462942928076,
0.03601432219147682,
-4.2861856286435795e-8,
0.08584579825401306,
-0.015378893353044987,
0.0468156524002552,
0.0691879466176033,
0.029378777369856834,
0.06034274399280548,
-0.09089411795139313,
-0.016358407214283943,
0.008815132081508636,
-0.017440728843212128,
0.043214522302150726,
-0.008514882065355778,
0.015271550975739956,
-0.04501969367265701,
0.03420436754822731,
0.046815820038318634,
-0.05773239582777023,
-0.047081559896469116,
-0.0566444993019104,
0.009856393560767174,
-0.03928631171584129,
0.018978476524353027,
-0.008817200548946857,
0.013259262777864933,
0.021246321499347687,
-0.0918993353843689,
0.017683640122413635,
0.02236698381602764,
-0.006895021535456181,
0.036170728504657745,
0.03921568766236305,
-0.04955415800213814,
-0.009142893366515636,
0.00658793468028307,
0.023632580414414406,
0.10130589455366135,
-0.02554432302713394,
0.008770422078669071,
0.028794758021831512,
-0.06500083208084106,
-0.034082796424627304,
-0.028666291385889053,
-0.01809348352253437,
0.04248543456196785,
0.033268388360738754,
-0.09498507529497147,
-0.027538273483514786,
-0.08267675340175629,
0.04091392457485199,
-0.029615014791488647,
0.055781882256269455,
-0.019081560894846916,
-0.010080919601023197,
0.07123365998268127,
0.06289809942245483,
0.09236754477024078,
-0.11041639000177383,
-0.08136819303035736,
0.0853523388504982,
0.08294296264648438,
0.028303425759077072,
-0.019345492124557495,
0.06365659087896347,
-0.020668979734182358
] | null | null | null | null | null | null | null |
[
-0.03348878398537636,
-0.010058201849460602,
-0.041011784225702286,
-0.037326205521821976,
0.07174001634120941,
-0.054392244666814804,
0.014385812915861607,
-0.010321447625756264,
0.0078102718107402325,
-0.002863745205104351,
-0.07569873332977295,
-0.09522467851638794,
0.08963228762149811,
-0.050965119153261185,
0.022666938602924347,
-0.022331390529870987,
0.0010235168738290668,
0.01868242584168911,
-0.03821885585784912,
-0.06808585673570633,
-0.05879678204655647,
-0.0021853342186659575,
0.004502397961914539,
0.03167758136987686,
-0.01108071394264698,
0.0076202405616641045,
0.01118594128638506,
-0.04779195412993431,
-0.02783752977848053,
-0.042604122310876846,
0.05859536677598953,
0.06527170538902283,
-0.04166462644934654,
-0.012943507172167301,
-0.009781615808606148,
0.030249474570155144,
-0.06112675368785858,
-0.005618644878268242,
-0.001283374265767634,
-0.022662043571472168,
-0.08016719669103622,
0.04413646459579468,
-0.01919553242623806,
0.07841753959655762,
-0.07691818475723267,
-0.03334980830550194,
-0.005497172009199858,
-0.011340425349771976,
-0.04759247973561287,
-0.06230827420949936,
-0.03322047367691994,
-0.0401485413312912,
-0.041758663952350616,
-0.021650465205311775,
-0.0060547529719769955,
-0.10583948343992233,
0.0429670475423336,
-0.005653499159961939,
0.0665455311536789,
0.031026948243379593,
-0.03788525611162186,
-0.014663717709481716,
-0.024545719847083092,
-0.025666063651442528,
-0.013139426708221436,
0.02536470629274845,
0.09852852672338486,
-0.0161058958619833,
0.07057031989097595,
-0.018155371770262718,
-0.04415014386177063,
0.07348401099443436,
-0.03972986713051796,
0.05529225245118141,
0.023628445342183113,
0.053224366158246994,
-0.0007092973100952804,
0.027022585272789,
-0.0444428026676178,
-0.1422305852174759,
0.05593620613217354,
0.015790579840540886,
-0.04547788202762604,
0.06696514040231705,
0.07323133945465088,
0.03501114994287491,
0.0023739803582429886,
0.04529612138867378,
0.14949209988117218,
0.06625039875507355,
-0.053339213132858276,
0.03262544423341751,
0.08604466915130615,
0.013646158389747143,
0.060254957526922226,
0.03912690281867981,
0.05473649501800537,
-0.06485747545957565,
0.039695508778095245,
0.11403389275074005,
-0.021464109420776367,
0.015178090892732143,
0.0469055101275444,
-0.09079538285732269,
0.07332143187522888,
0.018336525186896324,
0.03464812785387039,
-0.03569788485765457,
-0.018903331831097603,
-0.05796503275632858,
-0.0035222836304455996,
-0.005178414285182953,
0.0038806486409157515,
-0.05142773315310478,
0.01909298077225685,
0.003285112790763378,
0.00839183945208788,
0.014003941789269447,
-0.08793724328279495,
0.1332745999097824,
0.05879655107855797,
0.011363934725522995,
0.044727448374032974,
0.03878265991806984,
-0.03741100803017616,
0.020596204325556755,
-0.12315095961093903,
4.647822929559744e-34,
0.015245017595589161,
0.015149309299886227,
-0.06094072014093399,
0.06339817494153976,
0.02598693035542965,
-0.07629913836717606,
0.0666884034872055,
0.10127827525138855,
-0.09680788964033127,
-0.014025718905031681,
-0.005234093870967627,
0.0060550756752491,
0.024166712537407875,
0.09778522700071335,
0.14284688234329224,
0.04339057207107544,
0.014432673342525959,
0.05798053741455078,
-0.05640445649623871,
-0.07362225651741028,
0.05654427781701088,
0.04202702268958092,
-0.046371374279260635,
-0.040457528084516525,
0.01136752124875784,
-0.030445268377661705,
-0.047001708298921585,
0.017351362854242325,
0.0070180646143853664,
0.00895616039633751,
-0.0315469466149807,
0.0036308139096945524,
0.003416811116039753,
0.09606719762086868,
0.10576898604631424,
-0.032488103955984116,
-0.05989746004343033,
-0.05459405481815338,
0.03839633986353874,
0.06564541161060333,
0.02637643925845623,
0.017941784113645554,
0.014616861008107662,
-0.0025715017691254616,
0.041643206030130386,
-0.031178312376141548,
-0.09625816345214844,
0.0030581734608858824,
-0.05502431467175484,
-0.055055949836969376,
0.04060031473636627,
0.0607786662876606,
0.02347913198173046,
0.05484575033187866,
-0.08571424335241318,
-0.0698213130235672,
-0.038949958980083466,
0.016423169523477554,
0.1270231306552887,
0.07625530660152435,
-0.04725782200694084,
0.05156586691737175,
-0.049160994589328766,
0.007805366534739733,
-0.012718608602881432,
-0.01755135878920555,
-0.016017604619264603,
0.03713348135352135,
0.008788230828940868,
0.09384819865226746,
-0.02170901745557785,
-0.03072245791554451,
0.04227392375469208,
0.03076205961406231,
-0.024992866441607475,
-0.005612263455986977,
0.04454314708709717,
-0.02823854424059391,
0.036073438823223114,
-0.11979087442159653,
-0.040247462689876556,
0.0808672308921814,
0.03125280141830444,
-0.033920686691999435,
-0.05521438270807266,
-0.08206834644079208,
-0.061239250004291534,
-0.04725902900099754,
-0.07997158914804459,
0.05442893132567406,
-0.05654532089829445,
-0.08736611902713776,
-0.021953502669930458,
-0.05386205390095711,
-0.002424947451800108,
-2.853456700639439e-33,
-0.10970251262187958,
-0.006405767053365707,
-0.05977322906255722,
-0.00006310072785709053,
-0.08619891852140427,
-0.051148977130651474,
-0.03963105380535126,
-0.026000959798693657,
-0.0692993775010109,
-0.019988449290394783,
-0.09391474723815918,
-0.0007356615387834609,
0.10932343453168869,
-0.02910582348704338,
0.01612105965614319,
0.002769854385405779,
0.036867935210466385,
0.03977260738611221,
-0.013545912690460682,
0.033167771995067596,
0.011004330590367317,
0.05872306227684021,
-0.04820447042584419,
-0.0319342203438282,
0.029000964015722275,
-0.003289387794211507,
-0.0022005606442689896,
0.03712749481201172,
0.0441296212375164,
0.010905507951974869,
-0.0389995351433754,
0.004870974458754063,
-0.08115410804748535,
-0.010206397622823715,
-0.0021537623833864927,
0.009810450486838818,
0.07078960537910461,
0.06737816333770752,
-0.011100671254098415,
0.012490644119679928,
0.003047224134206772,
-0.062952421605587,
0.03676360473036766,
0.04327839985489845,
0.004977873060852289,
0.04502486810088158,
-0.09553413093090057,
0.029835278168320656,
0.04804636165499687,
-0.0469665564596653,
0.025896843522787094,
0.008635148406028748,
0.03528088703751564,
-0.025755474343895912,
0.010861529968678951,
-0.044735074043273926,
0.06631530821323395,
-0.0016333122039213777,
0.012294519692659378,
-0.002460380783304572,
0.017117170616984367,
-0.07697232067584991,
0.020981114357709885,
-0.016417749226093292,
0.029461953788995743,
-0.007899943739175797,
-0.10357697308063507,
-0.06553720682859421,
-0.020785879343748093,
0.037107523530721664,
0.03475164994597435,
-0.04561678692698479,
-0.09167934209108353,
-0.02390003204345703,
-0.06858029961585999,
0.0032183409202843904,
0.056206490844488144,
-0.06312395632266998,
-0.07240952551364899,
0.08813031017780304,
0.04544203355908394,
-0.03022141195833683,
0.08770128339529037,
-0.04659771919250488,
-0.026429342105984688,
0.07523252069950104,
-0.01302036177366972,
0.04770953580737114,
0.021448927000164986,
0.028292637318372726,
-0.013430565595626831,
0.05720546096563339,
-0.03205786272883415,
-0.002609462942928076,
0.03601432219147682,
-4.2861856286435795e-8,
0.08584579825401306,
-0.015378893353044987,
0.0468156524002552,
0.0691879466176033,
0.029378777369856834,
0.06034274399280548,
-0.09089411795139313,
-0.016358407214283943,
0.008815132081508636,
-0.017440728843212128,
0.043214522302150726,
-0.008514882065355778,
0.015271550975739956,
-0.04501969367265701,
0.03420436754822731,
0.046815820038318634,
-0.05773239582777023,
-0.047081559896469116,
-0.0566444993019104,
0.009856393560767174,
-0.03928631171584129,
0.018978476524353027,
-0.008817200548946857,
0.013259262777864933,
0.021246321499347687,
-0.0918993353843689,
0.017683640122413635,
0.02236698381602764,
-0.006895021535456181,
0.036170728504657745,
0.03921568766236305,
-0.04955415800213814,
-0.009142893366515636,
0.00658793468028307,
0.023632580414414406,
0.10130589455366135,
-0.02554432302713394,
0.008770422078669071,
0.028794758021831512,
-0.06500083208084106,
-0.034082796424627304,
-0.028666291385889053,
-0.01809348352253437,
0.04248543456196785,
0.033268388360738754,
-0.09498507529497147,
-0.027538273483514786,
-0.08267675340175629,
0.04091392457485199,
-0.029615014791488647,
0.055781882256269455,
-0.019081560894846916,
-0.010080919601023197,
0.07123365998268127,
0.06289809942245483,
0.09236754477024078,
-0.11041639000177383,
-0.08136819303035736,
0.0853523388504982,
0.08294296264648438,
0.028303425759077072,
-0.019345492124557495,
0.06365659087896347,
-0.020668979734182358
] |
1401.7637
|
Subhash Kak
|
Subhash Kak
|
Guaman Poma's Yupana and Inca Astronomy
|
11 pages, 15 figures
|
Indian Journal of History of Science, vol. 54.4, December 2019,
pp. 397-404
| null | null |
physics.hist-ph physics.pop-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An explanation is provided for the Inca counting board described by Guaman
Poma in 1615. Although the board could have been used in more than one way, we
show that based on certain reasonable assumptions regarding non-uniform
representation of numbers its most likely use was counting in multiples of 6,
24, and 72. The independent numbers represented on its five rows are 92, 31,
29, 79, and 56 that appear to be astronomically connected to sub-periods within
the year and planet periods in a manner similar to Mayan astronomy. Based on
these and other considerations we propose that the board fulfilled an
astronomical counting function.
|
[
{
"created": "Wed, 29 Jan 2014 19:44:35 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Feb 2014 19:40:21 GMT",
"version": "v2"
}
] |
2020-02-14
|
[
[
"Kak",
"Subhash",
""
]
] |
[
0.00394313782453537,
-0.015830744057893753,
-0.03357073664665222,
0.028080955147743225,
-0.1248714029788971,
-0.04160314425826073,
-0.013673031702637672,
-0.028113536536693573,
0.0694289430975914,
0.058238886296749115,
0.04702746868133545,
-0.0019473372958600521,
0.03553975746035576,
0.011310182511806488,
-0.053269900381565094,
-0.03505532070994377,
-0.14825226366519928,
-0.04370901733636856,
0.11308229714632034,
0.015706820413470268,
0.017136767506599426,
-0.0030232626013457775,
-0.03579375520348549,
0.022153180092573166,
0.056443873792886734,
-0.011572853662073612,
-0.0312773734331131,
-0.04126251861453056,
0.06288456916809082,
-0.03699358180165291,
-0.06577276438474655,
0.09685654193162918,
0.07133828103542328,
0.000656293414067477,
-0.029612647369503975,
-0.007403166498988867,
0.027512624859809875,
-0.051745522767305374,
-0.0175487007945776,
-0.005795756820589304,
0.035983894020318985,
-0.017941469326615334,
0.12081550061702728,
0.13677892088890076,
-0.06490342319011688,
0.018556106835603714,
-0.030683360993862152,
-0.00725105544552207,
-0.030969496816396713,
0.05773329734802246,
0.04901520907878876,
0.07018911093473434,
-0.03277425095438957,
0.02129318378865719,
0.02587743103504181,
-0.06402555108070374,
-0.01576448231935501,
-0.10560695827007294,
0.05200071260333061,
0.015223881229758263,
-0.011074026115238667,
0.05401461943984032,
-0.0332525260746479,
-0.07760275900363922,
0.0016753121744841337,
-0.007159981410950422,
-0.07595076411962509,
-0.05290169641375542,
-0.04706808179616928,
0.014812814071774483,
0.056297704577445984,
0.05501692369580269,
0.06747640669345856,
0.017861854285001755,
-0.07748647779226303,
0.004416184034198523,
-0.03329024463891983,
0.011932513676583767,
-0.035180799663066864,
-0.051745809614658356,
0.04012889415025711,
0.01830245926976204,
0.003910906612873077,
0.007569025736302137,
0.039509739726781845,
0.018759680911898613,
-0.0746077299118042,
0.06658052653074265,
0.01914212480187416,
-0.08230937272310257,
0.054850075393915176,
0.08125130087137222,
0.03804994001984596,
0.05413338914513588,
-0.02259666472673416,
0.037723228335380554,
0.02405528537929058,
0.07059060782194138,
0.036898981779813766,
0.034061212092638016,
0.08647210150957108,
0.018268708139657974,
-0.006954761687666178,
0.058645088225603104,
-0.054138898849487305,
0.0026115700602531433,
-0.04765816777944565,
-0.022557854652404785,
-0.06824568659067154,
-0.015075157396495342,
-0.03338082134723663,
-0.008167923428118229,
-0.028591929003596306,
0.04166868329048157,
-0.020067427307367325,
-0.0594390332698822,
0.0004845881194341928,
0.08223066478967667,
0.004350766539573669,
-0.08792781084775925,
-0.01141276117414236,
0.03811207041144371,
0.044917989522218704,
0.02361469715833664,
0.03712743520736694,
0.00887762289494276,
0.03747233748435974,
1.3552468373115786e-34,
0.024946225807070732,
-0.07535706460475922,
0.03987579420208931,
0.03833283111453056,
0.06885180622339249,
-0.04322159290313721,
-0.08919050544500351,
-0.04319833591580391,
0.07589409500360489,
0.02936888299882412,
-0.03500189632177353,
0.0029879393987357616,
0.0597398467361927,
-0.0008491409244015813,
0.09326429665088654,
0.03824765980243683,
0.009577497839927673,
-0.06039382144808769,
0.03632410243153572,
-0.04550524801015854,
-0.014186590909957886,
-0.022075487300753593,
-0.014720865525305271,
-0.03704150393605232,
0.06665752828121185,
0.13432416319847107,
-0.06428010016679764,
-0.07626941800117493,
-0.026741204783320427,
0.012584093026816845,
-0.0017996260430663824,
-0.005060475319623947,
-0.04287690296769142,
0.013222998008131981,
0.0334070660173893,
-0.07330086082220078,
0.062415990978479385,
-0.002628891495987773,
-0.0617184154689312,
0.016181956976652145,
0.03808857128024101,
0.007533293217420578,
0.05021205544471741,
-0.041916679590940475,
0.03863050043582916,
0.01596774533390999,
0.07759504020214081,
0.0915946215391159,
0.030747873708605766,
0.1205177828669548,
-0.0868300199508667,
0.015486256219446659,
-0.01752554252743721,
-0.06228870525956154,
-0.01878352276980877,
-0.09906245768070221,
-0.0002182907919632271,
-0.00936697144061327,
-0.022858979180455208,
0.11802244186401367,
0.030081847682595253,
0.0029681241139769554,
0.06105845794081688,
0.0058350288309156895,
-0.055551767349243164,
0.08134757727384567,
-0.02646791562438011,
0.03628581762313843,
0.07954791188240051,
0.07026932388544083,
-0.052179835736751556,
0.007948553189635277,
-0.05805080756545067,
-0.02178378589451313,
-0.025397606194019318,
-0.06648869067430496,
0.06636487692594528,
-0.050809863954782486,
-0.06699719280004501,
0.06516841799020767,
-0.004887951072305441,
-0.018880685791373253,
0.011102305725216866,
0.014086943119764328,
0.04568826034665108,
0.07086905092000961,
0.005734683480113745,
0.0722811222076416,
0.0099374670535326,
-0.0515998937189579,
0.08371952921152115,
-0.028110357001423836,
0.01735074818134308,
-0.03803578019142151,
-0.06559709459543228,
-2.633205058809836e-33,
-0.09449151903390884,
-0.013120362535119057,
0.0023186616599559784,
-0.02003057673573494,
-0.02016567811369896,
-0.1282031089067459,
-0.055074285715818405,
0.03538887947797775,
-0.05782175064086914,
-0.06820250302553177,
0.03933486342430115,
0.0871773213148117,
0.016027942299842834,
-0.017222179099917412,
-0.0025274206418544054,
-0.009616735391318798,
-0.01619839295744896,
0.06034759804606438,
-0.06840123236179352,
-0.016080396249890327,
0.023288538679480553,
0.016345128417015076,
-0.06164998188614845,
-0.05103948339819908,
0.013032187707722187,
0.04787059500813484,
0.05133957415819168,
-0.12098424136638641,
0.0370522141456604,
0.07923884689807892,
-0.05058255419135094,
-0.08334719389677048,
0.05885859206318855,
-0.02615194395184517,
-0.0487862229347229,
-0.09145794808864594,
0.06047641113400459,
0.048236873000860214,
-0.05684255436062813,
-0.010612290352582932,
-0.0003946059732697904,
0.10468779504299164,
0.03351558744907379,
0.002939992118626833,
-0.05420493707060814,
0.05543328449130058,
0.04923340305685997,
0.1054413765668869,
-0.08551810681819916,
-0.023266101256012917,
0.0027315712068229914,
-0.01061389409005642,
0.03343746066093445,
-0.003120801178738475,
-0.017926329746842384,
-0.03815086930990219,
-0.021337639540433884,
0.02920498698949814,
0.06865424662828445,
-0.0008791998843662441,
-0.028472138568758965,
-0.028957778587937355,
-0.011104621924459934,
-0.03029419295489788,
0.037763018161058426,
-0.024395214393734932,
0.00822364166378975,
0.03264749050140381,
-0.040856216102838516,
-0.01984267495572567,
-0.013593396171927452,
-0.05390501767396927,
-0.15065765380859375,
0.05019587278366089,
-0.0049265059642493725,
0.07903778553009033,
-0.025417741388082504,
0.01752474159002304,
0.006960298866033554,
0.02973664365708828,
-0.10811518877744675,
0.015497749671339989,
-0.014979667030274868,
-0.02613973058760166,
-0.013444898650050163,
0.050422534346580505,
0.04566946253180504,
-0.03989633545279503,
-0.005591645836830139,
0.013547887094318867,
0.0008142504375427961,
0.005868034902960062,
0.01606324128806591,
0.03795238584280014,
-0.02512231655418873,
-3.9013940522636403e-8,
-0.046311888843774796,
-0.003180793486535549,
-0.043014854192733765,
-0.05515025556087494,
0.008256345987319946,
0.025587543845176697,
0.027195319533348083,
0.0513470284640789,
0.006474679335951805,
0.00982589926570654,
0.06932087242603302,
0.0026274339761584997,
0.00470870453864336,
0.06046038120985031,
-0.010888846591114998,
0.012462866492569447,
0.076254703104496,
0.05574297532439232,
-0.035111937671899796,
-0.006884139962494373,
-0.003405566792935133,
0.02149309031665325,
0.05491556227207184,
-0.058816760778427124,
-0.08771645277738571,
0.04297863319516182,
-0.05493490397930145,
0.11375394463539124,
-0.07769066840410233,
-0.07013039290904999,
0.03195507824420929,
-0.030081329867243767,
-0.06084415689110756,
-0.11455100029706955,
-0.029931627213954926,
0.06662005931138992,
-0.0208605770021677,
-0.07938939332962036,
0.03711826354265213,
-0.08295369893312454,
-0.027071112766861916,
-0.08504253625869751,
-0.05627002194523811,
0.06128445267677307,
0.04627583920955658,
0.014055094681680202,
-0.04006972536444664,
-0.10060449689626694,
-0.029269935563206673,
-0.03451055660843849,
-0.021679457277059555,
-0.014093304052948952,
0.04406605660915375,
-0.09540800750255585,
0.034000955522060394,
-0.048309411853551865,
-0.0012979258317500353,
-0.052139803767204285,
-0.0010231619235128164,
0.001769966329447925,
0.05918135493993759,
-0.017376743257045746,
-0.0654188022017479,
-0.04348931089043617
] | null | null | null | null | null | null | null |
[
0.00394313782453537,
-0.015830744057893753,
-0.03357073664665222,
0.028080955147743225,
-0.1248714029788971,
-0.04160314425826073,
-0.013673031702637672,
-0.028113536536693573,
0.0694289430975914,
0.058238886296749115,
0.04702746868133545,
-0.0019473372958600521,
0.03553975746035576,
0.011310182511806488,
-0.053269900381565094,
-0.03505532070994377,
-0.14825226366519928,
-0.04370901733636856,
0.11308229714632034,
0.015706820413470268,
0.017136767506599426,
-0.0030232626013457775,
-0.03579375520348549,
0.022153180092573166,
0.056443873792886734,
-0.011572853662073612,
-0.0312773734331131,
-0.04126251861453056,
0.06288456916809082,
-0.03699358180165291,
-0.06577276438474655,
0.09685654193162918,
0.07133828103542328,
0.000656293414067477,
-0.029612647369503975,
-0.007403166498988867,
0.027512624859809875,
-0.051745522767305374,
-0.0175487007945776,
-0.005795756820589304,
0.035983894020318985,
-0.017941469326615334,
0.12081550061702728,
0.13677892088890076,
-0.06490342319011688,
0.018556106835603714,
-0.030683360993862152,
-0.00725105544552207,
-0.030969496816396713,
0.05773329734802246,
0.04901520907878876,
0.07018911093473434,
-0.03277425095438957,
0.02129318378865719,
0.02587743103504181,
-0.06402555108070374,
-0.01576448231935501,
-0.10560695827007294,
0.05200071260333061,
0.015223881229758263,
-0.011074026115238667,
0.05401461943984032,
-0.0332525260746479,
-0.07760275900363922,
0.0016753121744841337,
-0.007159981410950422,
-0.07595076411962509,
-0.05290169641375542,
-0.04706808179616928,
0.014812814071774483,
0.056297704577445984,
0.05501692369580269,
0.06747640669345856,
0.017861854285001755,
-0.07748647779226303,
0.004416184034198523,
-0.03329024463891983,
0.011932513676583767,
-0.035180799663066864,
-0.051745809614658356,
0.04012889415025711,
0.01830245926976204,
0.003910906612873077,
0.007569025736302137,
0.039509739726781845,
0.018759680911898613,
-0.0746077299118042,
0.06658052653074265,
0.01914212480187416,
-0.08230937272310257,
0.054850075393915176,
0.08125130087137222,
0.03804994001984596,
0.05413338914513588,
-0.02259666472673416,
0.037723228335380554,
0.02405528537929058,
0.07059060782194138,
0.036898981779813766,
0.034061212092638016,
0.08647210150957108,
0.018268708139657974,
-0.006954761687666178,
0.058645088225603104,
-0.054138898849487305,
0.0026115700602531433,
-0.04765816777944565,
-0.022557854652404785,
-0.06824568659067154,
-0.015075157396495342,
-0.03338082134723663,
-0.008167923428118229,
-0.028591929003596306,
0.04166868329048157,
-0.020067427307367325,
-0.0594390332698822,
0.0004845881194341928,
0.08223066478967667,
0.004350766539573669,
-0.08792781084775925,
-0.01141276117414236,
0.03811207041144371,
0.044917989522218704,
0.02361469715833664,
0.03712743520736694,
0.00887762289494276,
0.03747233748435974,
1.3552468373115786e-34,
0.024946225807070732,
-0.07535706460475922,
0.03987579420208931,
0.03833283111453056,
0.06885180622339249,
-0.04322159290313721,
-0.08919050544500351,
-0.04319833591580391,
0.07589409500360489,
0.02936888299882412,
-0.03500189632177353,
0.0029879393987357616,
0.0597398467361927,
-0.0008491409244015813,
0.09326429665088654,
0.03824765980243683,
0.009577497839927673,
-0.06039382144808769,
0.03632410243153572,
-0.04550524801015854,
-0.014186590909957886,
-0.022075487300753593,
-0.014720865525305271,
-0.03704150393605232,
0.06665752828121185,
0.13432416319847107,
-0.06428010016679764,
-0.07626941800117493,
-0.026741204783320427,
0.012584093026816845,
-0.0017996260430663824,
-0.005060475319623947,
-0.04287690296769142,
0.013222998008131981,
0.0334070660173893,
-0.07330086082220078,
0.062415990978479385,
-0.002628891495987773,
-0.0617184154689312,
0.016181956976652145,
0.03808857128024101,
0.007533293217420578,
0.05021205544471741,
-0.041916679590940475,
0.03863050043582916,
0.01596774533390999,
0.07759504020214081,
0.0915946215391159,
0.030747873708605766,
0.1205177828669548,
-0.0868300199508667,
0.015486256219446659,
-0.01752554252743721,
-0.06228870525956154,
-0.01878352276980877,
-0.09906245768070221,
-0.0002182907919632271,
-0.00936697144061327,
-0.022858979180455208,
0.11802244186401367,
0.030081847682595253,
0.0029681241139769554,
0.06105845794081688,
0.0058350288309156895,
-0.055551767349243164,
0.08134757727384567,
-0.02646791562438011,
0.03628581762313843,
0.07954791188240051,
0.07026932388544083,
-0.052179835736751556,
0.007948553189635277,
-0.05805080756545067,
-0.02178378589451313,
-0.025397606194019318,
-0.06648869067430496,
0.06636487692594528,
-0.050809863954782486,
-0.06699719280004501,
0.06516841799020767,
-0.004887951072305441,
-0.018880685791373253,
0.011102305725216866,
0.014086943119764328,
0.04568826034665108,
0.07086905092000961,
0.005734683480113745,
0.0722811222076416,
0.0099374670535326,
-0.0515998937189579,
0.08371952921152115,
-0.028110357001423836,
0.01735074818134308,
-0.03803578019142151,
-0.06559709459543228,
-2.633205058809836e-33,
-0.09449151903390884,
-0.013120362535119057,
0.0023186616599559784,
-0.02003057673573494,
-0.02016567811369896,
-0.1282031089067459,
-0.055074285715818405,
0.03538887947797775,
-0.05782175064086914,
-0.06820250302553177,
0.03933486342430115,
0.0871773213148117,
0.016027942299842834,
-0.017222179099917412,
-0.0025274206418544054,
-0.009616735391318798,
-0.01619839295744896,
0.06034759804606438,
-0.06840123236179352,
-0.016080396249890327,
0.023288538679480553,
0.016345128417015076,
-0.06164998188614845,
-0.05103948339819908,
0.013032187707722187,
0.04787059500813484,
0.05133957415819168,
-0.12098424136638641,
0.0370522141456604,
0.07923884689807892,
-0.05058255419135094,
-0.08334719389677048,
0.05885859206318855,
-0.02615194395184517,
-0.0487862229347229,
-0.09145794808864594,
0.06047641113400459,
0.048236873000860214,
-0.05684255436062813,
-0.010612290352582932,
-0.0003946059732697904,
0.10468779504299164,
0.03351558744907379,
0.002939992118626833,
-0.05420493707060814,
0.05543328449130058,
0.04923340305685997,
0.1054413765668869,
-0.08551810681819916,
-0.023266101256012917,
0.0027315712068229914,
-0.01061389409005642,
0.03343746066093445,
-0.003120801178738475,
-0.017926329746842384,
-0.03815086930990219,
-0.021337639540433884,
0.02920498698949814,
0.06865424662828445,
-0.0008791998843662441,
-0.028472138568758965,
-0.028957778587937355,
-0.011104621924459934,
-0.03029419295489788,
0.037763018161058426,
-0.024395214393734932,
0.00822364166378975,
0.03264749050140381,
-0.040856216102838516,
-0.01984267495572567,
-0.013593396171927452,
-0.05390501767396927,
-0.15065765380859375,
0.05019587278366089,
-0.0049265059642493725,
0.07903778553009033,
-0.025417741388082504,
0.01752474159002304,
0.006960298866033554,
0.02973664365708828,
-0.10811518877744675,
0.015497749671339989,
-0.014979667030274868,
-0.02613973058760166,
-0.013444898650050163,
0.050422534346580505,
0.04566946253180504,
-0.03989633545279503,
-0.005591645836830139,
0.013547887094318867,
0.0008142504375427961,
0.005868034902960062,
0.01606324128806591,
0.03795238584280014,
-0.02512231655418873,
-3.9013940522636403e-8,
-0.046311888843774796,
-0.003180793486535549,
-0.043014854192733765,
-0.05515025556087494,
0.008256345987319946,
0.025587543845176697,
0.027195319533348083,
0.0513470284640789,
0.006474679335951805,
0.00982589926570654,
0.06932087242603302,
0.0026274339761584997,
0.00470870453864336,
0.06046038120985031,
-0.010888846591114998,
0.012462866492569447,
0.076254703104496,
0.05574297532439232,
-0.035111937671899796,
-0.006884139962494373,
-0.003405566792935133,
0.02149309031665325,
0.05491556227207184,
-0.058816760778427124,
-0.08771645277738571,
0.04297863319516182,
-0.05493490397930145,
0.11375394463539124,
-0.07769066840410233,
-0.07013039290904999,
0.03195507824420929,
-0.030081329867243767,
-0.06084415689110756,
-0.11455100029706955,
-0.029931627213954926,
0.06662005931138992,
-0.0208605770021677,
-0.07938939332962036,
0.03711826354265213,
-0.08295369893312454,
-0.027071112766861916,
-0.08504253625869751,
-0.05627002194523811,
0.06128445267677307,
0.04627583920955658,
0.014055094681680202,
-0.04006972536444664,
-0.10060449689626694,
-0.029269935563206673,
-0.03451055660843849,
-0.021679457277059555,
-0.014093304052948952,
0.04406605660915375,
-0.09540800750255585,
0.034000955522060394,
-0.048309411853551865,
-0.0012979258317500353,
-0.052139803767204285,
-0.0010231619235128164,
0.001769966329447925,
0.05918135493993759,
-0.017376743257045746,
-0.0654188022017479,
-0.04348931089043617
] |
1401.7651
|
O\u{g}uz Sunay
|
Volkan Yazici, M. Oguz Sunay, Ali O. Ercan
|
Controlling a Software-Defined Network via Distributed Controllers
|
6 pages, 4 figures
|
Proceedings of the 2012 NEM Summit, pp. 16-20, Istanbul, Turkey,
October 16-18, 2012
| null | null |
cs.NI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we propose a distributed OpenFlow controller and an associated
coordination framework that achieves scalability and reliability even under
heavy data center loads. The proposed framework, which is designed to work with
all existing OpenFlow controllers with minimal or no required changes, provides
support for dynamic addition and removal of controllers to the cluster without
any interruption to the network operation. We demonstrate performance results
of the proposed framework implemented over an experimental testbed that uses
controllers running Beacon.
|
[
{
"created": "Wed, 29 Jan 2014 20:35:00 GMT",
"version": "v1"
}
] |
2014-01-30
|
[
[
"Yazici",
"Volkan",
""
],
[
"Sunay",
"M. Oguz",
""
],
[
"Ercan",
"Ali O.",
""
]
] |
[
0.03079800307750702,
-0.06265882402658463,
-0.06154916062951088,
0.08987833559513092,
0.08578739315271378,
-0.009516053833067417,
-0.04003378376364708,
-0.030988754704594612,
0.027380766347050667,
0.04615926742553711,
-0.006623316556215286,
0.036142636090517044,
0.006576116196811199,
-0.07966332137584686,
0.031831759959459305,
0.05205818638205528,
0.12157587707042694,
-0.0183218065649271,
-0.045478638261556625,
-0.02554217353463173,
-0.07414954155683517,
0.053935106843709946,
-0.0569165013730526,
0.0524604432284832,
-0.044213443994522095,
0.021042684093117714,
-0.07953996956348419,
-0.03110559470951557,
-0.014824628829956055,
0.01286412589251995,
0.02771250158548355,
-0.007430906407535076,
0.0210785660892725,
0.006460454314947128,
0.016269885003566742,
-0.003760777646675706,
0.017245005816221237,
-0.04003705084323883,
-0.07724703848361969,
-0.0747828334569931,
0.09372786432504654,
0.024017957970499992,
-0.04277711361646652,
-0.014253407716751099,
-0.09064395725727081,
-0.011961227282881737,
-0.019834427163004875,
-0.00008027363219298422,
0.02762530744075775,
0.01591913215816021,
0.06113496795296669,
-0.07840528339147568,
0.007917756214737892,
0.02551695704460144,
0.03369664028286934,
0.009799405001103878,
0.0021349892485886812,
-0.08420692384243011,
0.05110255256295204,
-0.04328429698944092,
0.08762611448764801,
-0.005998046603053808,
0.043591924011707306,
0.015566817484796047,
-0.05760073661804199,
0.026532281190156937,
0.07948877662420273,
-0.024876588955521584,
0.08104373514652252,
-0.09812518954277039,
-0.03257579728960991,
0.05034639686346054,
0.0797262191772461,
0.023747341707348824,
-0.027154777199029922,
0.003362913616001606,
0.012854248285293579,
-0.05803314968943596,
-0.008728006854653358,
0.07218076288700104,
-0.025566909462213516,
0.07319851219654083,
-0.0032414677552878857,
0.002185583347454667,
-0.03782593086361885,
-0.06371885538101196,
-0.0015507688513025641,
-0.030698444694280624,
0.050818998366594315,
-0.04619238153100014,
-0.033226583153009415,
0.07167884707450867,
0.01522854994982481,
-0.0445077121257782,
0.010037881322205067,
-0.025899970903992653,
-0.04197569191455841,
-0.08679958432912827,
-0.04686763510107994,
0.01452506985515356,
-0.011685053817927837,
0.04257494956254959,
0.04336746782064438,
-0.04740937799215317,
0.011399424634873867,
0.028492026031017303,
-0.00942887645214796,
-0.008529826998710632,
0.00031825777841731906,
-0.006317907944321632,
0.01158900372684002,
-0.032542143017053604,
0.05729033797979355,
-0.009492099285125732,
-0.05828772112727165,
0.018137307837605476,
-0.00799139030277729,
-0.006620282307267189,
-0.06580863147974014,
0.1025557816028595,
-0.005237678997218609,
-0.059706300497055054,
0.03788106143474579,
-0.019894668832421303,
0.07496077567338943,
0.0597466379404068,
0.02231837436556816,
5.531288667794274e-34,
-0.04811544343829155,
0.025250766426324844,
-0.016533592715859413,
0.01041505765169859,
0.14666038751602173,
-0.009037680923938751,
0.0645754411816597,
-0.019248446449637413,
-0.03764929994940758,
-0.10609937459230423,
-0.05235643312335014,
0.06801025569438934,
0.014199507422745228,
-0.02585418149828911,
0.09246453642845154,
-0.04327747970819473,
0.011610521003603935,
0.01631571352481842,
0.14448823034763336,
-0.026608267799019814,
0.023958301171660423,
-0.018616223707795143,
-0.027855556458234787,
-0.044117871671915054,
0.022510448470711708,
0.008888768963515759,
0.04596402868628502,
-0.01975928619503975,
0.10356783866882324,
0.014490457251667976,
0.03358231112360954,
0.010914166457951069,
-0.0194652508944273,
0.06750310957431793,
-0.0314328558743,
0.013136819005012512,
-0.07658275961875916,
-0.051211439073085785,
0.01115043368190527,
0.045396048575639725,
-0.07196294516324997,
-0.012270207516849041,
-0.06557048112154007,
-0.041110023856163025,
-0.012229117564857006,
-0.08088167756795883,
-0.00380324455909431,
0.06586399674415588,
0.019038766622543335,
-0.0689803883433342,
0.07028218358755112,
-0.030622102320194244,
0.021319715306162834,
0.044404007494449615,
0.027274223044514656,
-0.0894940197467804,
-0.00579302292317152,
-0.019113365560770035,
0.04673274606466293,
0.17918656766414642,
-0.09991447627544403,
-0.08518379926681519,
-0.12398868054151535,
0.07251395285129547,
0.07566776871681213,
-0.06252946704626083,
-0.0065365261398255825,
0.017428060993552208,
0.020980510860681534,
-0.010144173167645931,
0.005367421545088291,
-0.014338692650198936,
0.006426943000406027,
0.07098143547773361,
-0.02354145422577858,
0.038060352206230164,
-0.011176908388733864,
-0.006972103379666805,
-0.09642951935529709,
-0.012397571466863155,
-0.05453340336680412,
0.019231876358389854,
-0.027468722313642502,
0.1050739511847496,
0.08385443687438965,
-0.07063321024179459,
-0.06789255142211914,
0.0332961268723011,
-0.1068393886089325,
0.02285582385957241,
-0.02762141451239586,
-0.014868838712573051,
0.08380745351314545,
0.045525483787059784,
0.0012714602053165436,
-3.522219819146468e-34,
-0.061748623847961426,
0.01931656524538994,
-0.02045391872525215,
0.08759613335132599,
0.042128223925828934,
-0.03754124417901039,
-0.02520669437944889,
-0.014834779314696789,
-0.05845120921730995,
-0.005750632379204035,
-0.04980415478348732,
-0.09772945940494537,
0.042582035064697266,
0.012662678025662899,
-0.0047019533812999725,
-0.08700451254844666,
-0.030744990333914757,
-0.08636325597763062,
-0.04404935613274574,
-0.005589796230196953,
-0.028214897960424423,
-0.019040798768401146,
-0.0032559072133153677,
-0.10848347842693329,
0.018254654482007027,
0.04477076977491379,
-0.06069536134600639,
-0.05168182775378227,
-0.05976605415344238,
0.06943392008543015,
-0.05352788418531418,
-0.0148157374933362,
0.062322888523340225,
-0.0043252999894320965,
0.11792804300785065,
0.05150024965405464,
0.027051283046603203,
0.053592927753925323,
0.004293954931199551,
0.0026859911158680916,
0.028412768617272377,
-0.03367380425333977,
-0.04957718774676323,
-0.024458160623908043,
0.016979487612843513,
0.017968978732824326,
-0.03207238391041756,
0.052062176167964935,
-0.06940601766109467,
0.03386477008461952,
-0.06871847063302994,
-0.04159468412399292,
-0.04157961532473564,
0.03597287833690643,
0.028067942708730698,
0.016049709171056747,
0.07158708572387695,
0.07304732501506805,
-0.055326592177152634,
0.01216957252472639,
0.08669761568307877,
-0.08504853397607803,
0.023296689614653587,
0.11808444559574127,
0.036356572061777115,
0.011399367824196815,
0.12665022909641266,
0.05958256497979164,
-0.015808211639523506,
0.03492874652147293,
-0.02596425451338291,
-0.0012717237696051598,
0.03169906884431839,
0.03854968771338463,
-0.004118801560252905,
-0.010568167082965374,
0.06109645962715149,
0.006560666020959616,
0.027568113058805466,
0.05248997360467911,
-0.08519066870212555,
0.033727604895830154,
-0.01379365660250187,
-0.06871426850557327,
0.043100349605083466,
0.052697036415338516,
0.056420423090457916,
-0.006573388818651438,
0.04403436556458473,
0.09545298665761948,
-0.0630398690700531,
0.02729176916182041,
-0.01465434581041336,
0.00811770185828209,
-0.01578878052532673,
-3.91263910159978e-8,
-0.061117175966501236,
0.04256031662225723,
-0.04729929193854332,
-0.029460012912750244,
-0.016183579340577126,
0.06661448627710342,
0.08046970516443253,
-0.024977337568998337,
-0.029980434104800224,
0.09872806817293167,
0.06413663178682327,
-0.020064977928996086,
-0.06626127660274506,
-0.08880126476287842,
-0.013717366382479668,
0.05573384463787079,
0.020984329283237457,
-0.04620636627078056,
-0.005012937355786562,
-0.0804109126329422,
-0.008573558181524277,
0.013896862976253033,
-0.011934008449316025,
0.10563218593597412,
-0.07966271787881851,
-0.026247402653098106,
0.0688803419470787,
0.03570638597011566,
-0.013611400499939919,
-0.00793757289648056,
0.03740505129098892,
-0.04318862408399582,
-0.004174176137894392,
0.037060536444187164,
-0.050017986446619034,
0.04334287717938423,
-0.04336949810385704,
0.0278549175709486,
0.046604957431554794,
0.07376134395599365,
0.018639616668224335,
0.09450533986091614,
-0.04495074227452278,
-0.07525560259819031,
0.03416694328188896,
0.004208146594464779,
-0.04457467421889305,
0.020757708698511124,
0.012196635827422142,
0.014127991162240505,
-0.03164013847708702,
0.010186300612986088,
-0.07491276413202286,
0.06991040706634521,
-0.028966842219233513,
-0.02225010097026825,
-0.03142024576663971,
-0.07130752503871918,
0.02128954976797104,
0.06630408763885498,
-0.01248343288898468,
0.016223514452576637,
0.01958584412932396,
0.0015952340327203274
] | null | null | null | null | null | null | null |
[
0.03079800307750702,
-0.06265882402658463,
-0.06154916062951088,
0.08987833559513092,
0.08578739315271378,
-0.009516053833067417,
-0.04003378376364708,
-0.030988754704594612,
0.027380766347050667,
0.04615926742553711,
-0.006623316556215286,
0.036142636090517044,
0.006576116196811199,
-0.07966332137584686,
0.031831759959459305,
0.05205818638205528,
0.12157587707042694,
-0.0183218065649271,
-0.045478638261556625,
-0.02554217353463173,
-0.07414954155683517,
0.053935106843709946,
-0.0569165013730526,
0.0524604432284832,
-0.044213443994522095,
0.021042684093117714,
-0.07953996956348419,
-0.03110559470951557,
-0.014824628829956055,
0.01286412589251995,
0.02771250158548355,
-0.007430906407535076,
0.0210785660892725,
0.006460454314947128,
0.016269885003566742,
-0.003760777646675706,
0.017245005816221237,
-0.04003705084323883,
-0.07724703848361969,
-0.0747828334569931,
0.09372786432504654,
0.024017957970499992,
-0.04277711361646652,
-0.014253407716751099,
-0.09064395725727081,
-0.011961227282881737,
-0.019834427163004875,
-0.00008027363219298422,
0.02762530744075775,
0.01591913215816021,
0.06113496795296669,
-0.07840528339147568,
0.007917756214737892,
0.02551695704460144,
0.03369664028286934,
0.009799405001103878,
0.0021349892485886812,
-0.08420692384243011,
0.05110255256295204,
-0.04328429698944092,
0.08762611448764801,
-0.005998046603053808,
0.043591924011707306,
0.015566817484796047,
-0.05760073661804199,
0.026532281190156937,
0.07948877662420273,
-0.024876588955521584,
0.08104373514652252,
-0.09812518954277039,
-0.03257579728960991,
0.05034639686346054,
0.0797262191772461,
0.023747341707348824,
-0.027154777199029922,
0.003362913616001606,
0.012854248285293579,
-0.05803314968943596,
-0.008728006854653358,
0.07218076288700104,
-0.025566909462213516,
0.07319851219654083,
-0.0032414677552878857,
0.002185583347454667,
-0.03782593086361885,
-0.06371885538101196,
-0.0015507688513025641,
-0.030698444694280624,
0.050818998366594315,
-0.04619238153100014,
-0.033226583153009415,
0.07167884707450867,
0.01522854994982481,
-0.0445077121257782,
0.010037881322205067,
-0.025899970903992653,
-0.04197569191455841,
-0.08679958432912827,
-0.04686763510107994,
0.01452506985515356,
-0.011685053817927837,
0.04257494956254959,
0.04336746782064438,
-0.04740937799215317,
0.011399424634873867,
0.028492026031017303,
-0.00942887645214796,
-0.008529826998710632,
0.00031825777841731906,
-0.006317907944321632,
0.01158900372684002,
-0.032542143017053604,
0.05729033797979355,
-0.009492099285125732,
-0.05828772112727165,
0.018137307837605476,
-0.00799139030277729,
-0.006620282307267189,
-0.06580863147974014,
0.1025557816028595,
-0.005237678997218609,
-0.059706300497055054,
0.03788106143474579,
-0.019894668832421303,
0.07496077567338943,
0.0597466379404068,
0.02231837436556816,
5.531288667794274e-34,
-0.04811544343829155,
0.025250766426324844,
-0.016533592715859413,
0.01041505765169859,
0.14666038751602173,
-0.009037680923938751,
0.0645754411816597,
-0.019248446449637413,
-0.03764929994940758,
-0.10609937459230423,
-0.05235643312335014,
0.06801025569438934,
0.014199507422745228,
-0.02585418149828911,
0.09246453642845154,
-0.04327747970819473,
0.011610521003603935,
0.01631571352481842,
0.14448823034763336,
-0.026608267799019814,
0.023958301171660423,
-0.018616223707795143,
-0.027855556458234787,
-0.044117871671915054,
0.022510448470711708,
0.008888768963515759,
0.04596402868628502,
-0.01975928619503975,
0.10356783866882324,
0.014490457251667976,
0.03358231112360954,
0.010914166457951069,
-0.0194652508944273,
0.06750310957431793,
-0.0314328558743,
0.013136819005012512,
-0.07658275961875916,
-0.051211439073085785,
0.01115043368190527,
0.045396048575639725,
-0.07196294516324997,
-0.012270207516849041,
-0.06557048112154007,
-0.041110023856163025,
-0.012229117564857006,
-0.08088167756795883,
-0.00380324455909431,
0.06586399674415588,
0.019038766622543335,
-0.0689803883433342,
0.07028218358755112,
-0.030622102320194244,
0.021319715306162834,
0.044404007494449615,
0.027274223044514656,
-0.0894940197467804,
-0.00579302292317152,
-0.019113365560770035,
0.04673274606466293,
0.17918656766414642,
-0.09991447627544403,
-0.08518379926681519,
-0.12398868054151535,
0.07251395285129547,
0.07566776871681213,
-0.06252946704626083,
-0.0065365261398255825,
0.017428060993552208,
0.020980510860681534,
-0.010144173167645931,
0.005367421545088291,
-0.014338692650198936,
0.006426943000406027,
0.07098143547773361,
-0.02354145422577858,
0.038060352206230164,
-0.011176908388733864,
-0.006972103379666805,
-0.09642951935529709,
-0.012397571466863155,
-0.05453340336680412,
0.019231876358389854,
-0.027468722313642502,
0.1050739511847496,
0.08385443687438965,
-0.07063321024179459,
-0.06789255142211914,
0.0332961268723011,
-0.1068393886089325,
0.02285582385957241,
-0.02762141451239586,
-0.014868838712573051,
0.08380745351314545,
0.045525483787059784,
0.0012714602053165436,
-3.522219819146468e-34,
-0.061748623847961426,
0.01931656524538994,
-0.02045391872525215,
0.08759613335132599,
0.042128223925828934,
-0.03754124417901039,
-0.02520669437944889,
-0.014834779314696789,
-0.05845120921730995,
-0.005750632379204035,
-0.04980415478348732,
-0.09772945940494537,
0.042582035064697266,
0.012662678025662899,
-0.0047019533812999725,
-0.08700451254844666,
-0.030744990333914757,
-0.08636325597763062,
-0.04404935613274574,
-0.005589796230196953,
-0.028214897960424423,
-0.019040798768401146,
-0.0032559072133153677,
-0.10848347842693329,
0.018254654482007027,
0.04477076977491379,
-0.06069536134600639,
-0.05168182775378227,
-0.05976605415344238,
0.06943392008543015,
-0.05352788418531418,
-0.0148157374933362,
0.062322888523340225,
-0.0043252999894320965,
0.11792804300785065,
0.05150024965405464,
0.027051283046603203,
0.053592927753925323,
0.004293954931199551,
0.0026859911158680916,
0.028412768617272377,
-0.03367380425333977,
-0.04957718774676323,
-0.024458160623908043,
0.016979487612843513,
0.017968978732824326,
-0.03207238391041756,
0.052062176167964935,
-0.06940601766109467,
0.03386477008461952,
-0.06871847063302994,
-0.04159468412399292,
-0.04157961532473564,
0.03597287833690643,
0.028067942708730698,
0.016049709171056747,
0.07158708572387695,
0.07304732501506805,
-0.055326592177152634,
0.01216957252472639,
0.08669761568307877,
-0.08504853397607803,
0.023296689614653587,
0.11808444559574127,
0.036356572061777115,
0.011399367824196815,
0.12665022909641266,
0.05958256497979164,
-0.015808211639523506,
0.03492874652147293,
-0.02596425451338291,
-0.0012717237696051598,
0.03169906884431839,
0.03854968771338463,
-0.004118801560252905,
-0.010568167082965374,
0.06109645962715149,
0.006560666020959616,
0.027568113058805466,
0.05248997360467911,
-0.08519066870212555,
0.033727604895830154,
-0.01379365660250187,
-0.06871426850557327,
0.043100349605083466,
0.052697036415338516,
0.056420423090457916,
-0.006573388818651438,
0.04403436556458473,
0.09545298665761948,
-0.0630398690700531,
0.02729176916182041,
-0.01465434581041336,
0.00811770185828209,
-0.01578878052532673,
-3.91263910159978e-8,
-0.061117175966501236,
0.04256031662225723,
-0.04729929193854332,
-0.029460012912750244,
-0.016183579340577126,
0.06661448627710342,
0.08046970516443253,
-0.024977337568998337,
-0.029980434104800224,
0.09872806817293167,
0.06413663178682327,
-0.020064977928996086,
-0.06626127660274506,
-0.08880126476287842,
-0.013717366382479668,
0.05573384463787079,
0.020984329283237457,
-0.04620636627078056,
-0.005012937355786562,
-0.0804109126329422,
-0.008573558181524277,
0.013896862976253033,
-0.011934008449316025,
0.10563218593597412,
-0.07966271787881851,
-0.026247402653098106,
0.0688803419470787,
0.03570638597011566,
-0.013611400499939919,
-0.00793757289648056,
0.03740505129098892,
-0.04318862408399582,
-0.004174176137894392,
0.037060536444187164,
-0.050017986446619034,
0.04334287717938423,
-0.04336949810385704,
0.0278549175709486,
0.046604957431554794,
0.07376134395599365,
0.018639616668224335,
0.09450533986091614,
-0.04495074227452278,
-0.07525560259819031,
0.03416694328188896,
0.004208146594464779,
-0.04457467421889305,
0.020757708698511124,
0.012196635827422142,
0.014127991162240505,
-0.03164013847708702,
0.010186300612986088,
-0.07491276413202286,
0.06991040706634521,
-0.028966842219233513,
-0.02225010097026825,
-0.03142024576663971,
-0.07130752503871918,
0.02128954976797104,
0.06630408763885498,
-0.01248343288898468,
0.016223514452576637,
0.01958584412932396,
0.0015952340327203274
] |
1401.7655
|
Vadim Markel
|
Fan Zhao, John C. Schotland and Vadim A. Markel
|
Inversion of the star transform
|
Accepted to Inverse Problems in this form
|
Inverse Problems 30, 105001 (2014)
|
10.1088/0266-5611/30/10/105001
| null |
math-ph math.MP physics.med-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define the star transform as a generalization of the broken ray transform
introduced by us in previous work. The advantages of using the star transform
include the possibility to reconstruct the absorption and the scattering
coefficients of the medium separately and simultaneously (from the same data)
and the possibility to utilize scattered radiation which, in the case of the
conventional X-ray tomography, is discarded. In this paper, we derive the star
transform from physical principles, discuss its mathematical properties and
analyze numerical stability of inversion. In particular, it is shown that
stable inversion of the star transform can be obtained only for configurations
involving odd number of rays. Several computationally-efficient inversion
algorithms are derived and tested numerically.
|
[
{
"created": "Wed, 29 Jan 2014 20:43:32 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 21:56:10 GMT",
"version": "v2"
}
] |
2015-01-13
|
[
[
"Zhao",
"Fan",
""
],
[
"Schotland",
"John C.",
""
],
[
"Markel",
"Vadim A.",
""
]
] |
[
-0.05117509514093399,
0.031875960528850555,
0.07420913875102997,
-0.02031833678483963,
-0.0036124028265476227,
-0.15364421904087067,
-0.057544462382793427,
-0.043565183877944946,
-0.03337317332625389,
0.025235949084162712,
-0.0366310253739357,
0.07234591990709305,
0.00813161488622427,
-0.07126625627279282,
-0.05098564177751541,
-0.05498326197266579,
-0.06747110188007355,
0.04036541283130646,
0.00015241418441291898,
0.03347399830818176,
-0.03783427178859711,
0.05596693232655525,
-0.10482668876647949,
-0.0774885043501854,
0.11876269429922104,
0.0009636725881136954,
-0.026920609176158905,
-0.13415271043777466,
-0.019725242629647255,
-0.02526070550084114,
0.03361092880368233,
0.06313138455152512,
-0.06262382864952087,
0.011762460693717003,
-0.087351955473423,
-0.045447513461112976,
0.06134321540594101,
-0.0392104834318161,
-0.004294745158404112,
0.01563851162791252,
0.011326729319989681,
0.031522855162620544,
0.005606970749795437,
-0.03382052853703499,
-0.02884693443775177,
-0.0029199968557804823,
-0.013006074354052544,
-0.06906575709581375,
0.04180631786584854,
0.07392150908708572,
0.0649472177028656,
0.02332954853773117,
-0.08657030761241913,
0.06271585077047348,
0.08415146172046661,
0.015422530472278595,
0.035558927804231644,
-0.07544984668493271,
0.0009043918107636273,
0.01042624656111002,
0.0942540392279625,
0.06818351149559021,
-0.02467072755098343,
-0.03457057103514671,
0.04426717758178711,
-0.05321204662322998,
-0.03894348442554474,
-0.0783495083451271,
-0.08138323575258255,
0.06057143211364746,
-0.1280066817998886,
0.054809607565402985,
0.04898189380764961,
-0.014479556120932102,
0.01037500984966755,
-0.04948702082037926,
0.0810261145234108,
-0.06437210738658905,
0.021606821566820145,
0.021153908222913742,
0.04808570444583893,
-0.007623337674885988,
-0.013092359527945518,
0.06079619750380516,
-0.02770158089697361,
0.05014665052294731,
-0.11355799436569214,
0.06958195567131042,
0.030012859031558037,
0.0850604698061943,
-0.004759162198752165,
0.0077639054507017136,
-0.06124575436115265,
-0.09127949923276901,
0.049948256462812424,
-0.07704173028469086,
0.05561712384223938,
-0.04542157053947449,
0.0883949026465416,
0.04785321280360222,
-0.009583442471921444,
-0.00268177455291152,
0.05352520942687988,
-0.003301329677924514,
-0.03709618002176285,
-0.08012304455041885,
0.012399041093885899,
-0.021081211045384407,
-0.07072101533412933,
0.007309918291866779,
0.08819127082824707,
-0.03571174293756485,
-0.00542017538100481,
-0.05175964534282684,
0.004134205635637045,
0.0072846002876758575,
0.027082456275820732,
0.06091754510998726,
-0.10395009070634842,
-0.0632229670882225,
-0.04385476931929588,
0.023905502632260323,
0.060124896466732025,
0.08465220779180527,
-0.00990514736622572,
-0.008948762901127338,
-0.01403980515897274,
-1.7880082738502953e-33,
-0.05447828397154808,
0.0934867113828659,
0.026103243231773376,
0.02804933674633503,
-0.015794046223163605,
0.008163085207343102,
0.03767416253685951,
-0.04896043613553047,
0.05308050289750099,
0.04157278314232826,
-0.011402318254113197,
0.06832490861415863,
0.05250253155827522,
-0.04707527533173561,
-0.00644675875082612,
0.013294237665832043,
0.08245477080345154,
0.047883275896310806,
-0.1077289953827858,
-0.010790499858558178,
0.05727604776620865,
-0.015132301487028599,
-0.05068846791982651,
-0.033739086240530014,
-0.01167830266058445,
0.0247652605175972,
-0.04271135851740837,
-0.01939050294458866,
-0.009104573167860508,
-0.0023331406991928816,
-0.05049636960029602,
0.05506042391061783,
0.019509846344590187,
0.04436326026916504,
-0.021422404795885086,
-0.040570441633462906,
0.04098775237798691,
-0.023110341280698776,
-0.004618865437805653,
-0.008059591054916382,
0.023649269714951515,
0.03639247268438339,
0.02298765629529953,
-0.02161465398967266,
0.04572894796729088,
0.03689025342464447,
0.0005763086955994368,
-0.003006655490025878,
0.06650596112012863,
-0.00910132471472025,
-0.00823315791785717,
-0.003222510451450944,
-0.14067263901233673,
-0.05772821232676506,
0.07768139243125916,
0.0480160154402256,
0.048245351761579514,
0.009165464900434017,
-0.03519141674041748,
0.03915468975901604,
0.03152352571487427,
-0.018975399434566498,
-0.010059504769742489,
-0.046774350106716156,
-0.02341579832136631,
0.0631430521607399,
-0.0002033479540841654,
-0.05273667350411415,
-0.05552501231431961,
0.023836154490709305,
-0.08246557414531708,
0.05924379080533981,
0.0036124142352491617,
-0.04762222617864609,
0.02904629148542881,
0.03914829343557358,
-0.0012404148001223803,
0.0954829752445221,
-0.06228100508451462,
0.010407364927232265,
-0.06419151276350021,
0.03019040636718273,
0.05913977324962616,
-0.08913472294807434,
0.03409776836633682,
0.029620666056871414,
0.0251760371029377,
0.05400253087282181,
-0.037741731852293015,
-0.050044942647218704,
-0.028943048790097237,
0.05821603909134865,
-0.031707458198070526,
-0.09243570268154144,
-0.006576658226549625,
-8.216402455110468e-34,
-0.034261319786310196,
-0.059461239725351334,
-0.021596524864435196,
0.04693000763654709,
0.009521428495645523,
-0.03475024551153183,
0.026505203917622566,
0.03250757232308388,
-0.02111583761870861,
-0.03287005424499512,
-0.04491933807730675,
0.035941850394010544,
-0.06718824803829193,
-0.023988893255591393,
0.05290057137608528,
0.0012118240119889379,
-0.00358467735350132,
0.03553381934762001,
-0.12571939826011658,
0.000597502279561013,
0.024856431409716606,
0.12468297779560089,
0.08383557200431824,
0.01153478678315878,
-0.08131321519613266,
-0.05285301059484482,
0.010350119322538376,
-0.031961359083652496,
0.0330701507627964,
0.03076404705643654,
-0.0720992162823677,
-0.06886670738458633,
0.05198394134640694,
0.023861780762672424,
-0.012003587558865547,
0.019397122785449028,
-0.05846185237169266,
0.03477773815393448,
-0.03459765017032623,
0.004929700866341591,
-0.06070658937096596,
0.061603281646966934,
0.0068773794919252396,
0.02567821554839611,
-0.037102025002241135,
-0.01874036341905594,
0.07272198051214218,
0.01728239469230175,
0.011861545033752918,
0.03276490792632103,
0.012517699040472507,
-0.0941440612077713,
0.08202856034040451,
0.05354611203074455,
0.003565719584003091,
0.07372645288705826,
0.005953408777713776,
0.03755176067352295,
0.08630887418985367,
-0.0023649814538657665,
-0.04637593403458595,
0.00239535397849977,
0.09436487406492233,
-0.028946883976459503,
-0.04108921438455582,
0.02705584093928337,
0.028403494507074356,
-0.019744103774428368,
-0.0582212470471859,
0.060062870383262634,
0.013876089826226234,
-0.04443550109863281,
0.03501280024647713,
0.02852441929280758,
0.06075356900691986,
0.034823160618543625,
0.01229023840278387,
0.022541537880897522,
-0.0678737685084343,
0.0061795939691364765,
-0.10278208553791046,
0.03662436082959175,
0.018706029281020164,
0.0625658705830574,
0.059359338134527206,
-0.0014660246670246124,
0.007801553700119257,
-0.05318016558885574,
0.008074235171079636,
-0.11643871665000916,
0.021068738773465157,
0.07714821398258209,
0.07162491977214813,
-0.08655478805303574,
0.07713919878005981,
-4.0301024739619606e-8,
-0.0686253160238266,
-0.03140225261449814,
-0.012459796853363514,
0.04661877453327179,
0.013788540847599506,
0.004870247561484575,
0.03851301223039627,
-0.0018980421591550112,
0.02941432222723961,
-0.0980461910367012,
-0.0749082863330841,
0.0001865118829300627,
0.0032883710227906704,
-0.052244093269109726,
-0.04794909060001373,
-0.02470315434038639,
-0.008034476079046726,
-0.026196833699941635,
-0.009698241949081421,
0.07575555145740509,
-0.11370668560266495,
0.04504774138331413,
0.04185902327299118,
-0.015699241310358047,
0.005750698037445545,
0.036962587386369705,
-0.032361797988414764,
-0.10101084411144257,
0.018053682520985603,
-0.00699966587126255,
-0.04001425951719284,
0.019414788112044334,
0.01007934007793665,
0.05756532773375511,
-0.05447188392281532,
0.009197111241519451,
0.0839117020368576,
0.0491863414645195,
-0.01176640298217535,
0.03335556015372276,
0.03169380500912666,
0.04059357941150665,
0.026293935254216194,
-0.002893671626225114,
-0.038411252200603485,
0.1640811562538147,
0.049022428691387177,
-0.044025298207998276,
-0.006343580316752195,
0.010524775832891464,
0.0013476626481860876,
0.05200280621647835,
-0.014712858945131302,
-0.09999329596757889,
0.014669034630060196,
0.0010080368956550956,
-0.010252619162201881,
-0.020234549418091774,
0.08495490998029709,
0.06867626309394836,
0.02654506452381611,
0.04904615134000778,
-0.04348071664571762,
0.0038908058777451515
] | null | null | null | null | null | null | null |
[
-0.05117509514093399,
0.031875960528850555,
0.07420913875102997,
-0.02031833678483963,
-0.0036124028265476227,
-0.15364421904087067,
-0.057544462382793427,
-0.043565183877944946,
-0.03337317332625389,
0.025235949084162712,
-0.0366310253739357,
0.07234591990709305,
0.00813161488622427,
-0.07126625627279282,
-0.05098564177751541,
-0.05498326197266579,
-0.06747110188007355,
0.04036541283130646,
0.00015241418441291898,
0.03347399830818176,
-0.03783427178859711,
0.05596693232655525,
-0.10482668876647949,
-0.0774885043501854,
0.11876269429922104,
0.0009636725881136954,
-0.026920609176158905,
-0.13415271043777466,
-0.019725242629647255,
-0.02526070550084114,
0.03361092880368233,
0.06313138455152512,
-0.06262382864952087,
0.011762460693717003,
-0.087351955473423,
-0.045447513461112976,
0.06134321540594101,
-0.0392104834318161,
-0.004294745158404112,
0.01563851162791252,
0.011326729319989681,
0.031522855162620544,
0.005606970749795437,
-0.03382052853703499,
-0.02884693443775177,
-0.0029199968557804823,
-0.013006074354052544,
-0.06906575709581375,
0.04180631786584854,
0.07392150908708572,
0.0649472177028656,
0.02332954853773117,
-0.08657030761241913,
0.06271585077047348,
0.08415146172046661,
0.015422530472278595,
0.035558927804231644,
-0.07544984668493271,
0.0009043918107636273,
0.01042624656111002,
0.0942540392279625,
0.06818351149559021,
-0.02467072755098343,
-0.03457057103514671,
0.04426717758178711,
-0.05321204662322998,
-0.03894348442554474,
-0.0783495083451271,
-0.08138323575258255,
0.06057143211364746,
-0.1280066817998886,
0.054809607565402985,
0.04898189380764961,
-0.014479556120932102,
0.01037500984966755,
-0.04948702082037926,
0.0810261145234108,
-0.06437210738658905,
0.021606821566820145,
0.021153908222913742,
0.04808570444583893,
-0.007623337674885988,
-0.013092359527945518,
0.06079619750380516,
-0.02770158089697361,
0.05014665052294731,
-0.11355799436569214,
0.06958195567131042,
0.030012859031558037,
0.0850604698061943,
-0.004759162198752165,
0.0077639054507017136,
-0.06124575436115265,
-0.09127949923276901,
0.049948256462812424,
-0.07704173028469086,
0.05561712384223938,
-0.04542157053947449,
0.0883949026465416,
0.04785321280360222,
-0.009583442471921444,
-0.00268177455291152,
0.05352520942687988,
-0.003301329677924514,
-0.03709618002176285,
-0.08012304455041885,
0.012399041093885899,
-0.021081211045384407,
-0.07072101533412933,
0.007309918291866779,
0.08819127082824707,
-0.03571174293756485,
-0.00542017538100481,
-0.05175964534282684,
0.004134205635637045,
0.0072846002876758575,
0.027082456275820732,
0.06091754510998726,
-0.10395009070634842,
-0.0632229670882225,
-0.04385476931929588,
0.023905502632260323,
0.060124896466732025,
0.08465220779180527,
-0.00990514736622572,
-0.008948762901127338,
-0.01403980515897274,
-1.7880082738502953e-33,
-0.05447828397154808,
0.0934867113828659,
0.026103243231773376,
0.02804933674633503,
-0.015794046223163605,
0.008163085207343102,
0.03767416253685951,
-0.04896043613553047,
0.05308050289750099,
0.04157278314232826,
-0.011402318254113197,
0.06832490861415863,
0.05250253155827522,
-0.04707527533173561,
-0.00644675875082612,
0.013294237665832043,
0.08245477080345154,
0.047883275896310806,
-0.1077289953827858,
-0.010790499858558178,
0.05727604776620865,
-0.015132301487028599,
-0.05068846791982651,
-0.033739086240530014,
-0.01167830266058445,
0.0247652605175972,
-0.04271135851740837,
-0.01939050294458866,
-0.009104573167860508,
-0.0023331406991928816,
-0.05049636960029602,
0.05506042391061783,
0.019509846344590187,
0.04436326026916504,
-0.021422404795885086,
-0.040570441633462906,
0.04098775237798691,
-0.023110341280698776,
-0.004618865437805653,
-0.008059591054916382,
0.023649269714951515,
0.03639247268438339,
0.02298765629529953,
-0.02161465398967266,
0.04572894796729088,
0.03689025342464447,
0.0005763086955994368,
-0.003006655490025878,
0.06650596112012863,
-0.00910132471472025,
-0.00823315791785717,
-0.003222510451450944,
-0.14067263901233673,
-0.05772821232676506,
0.07768139243125916,
0.0480160154402256,
0.048245351761579514,
0.009165464900434017,
-0.03519141674041748,
0.03915468975901604,
0.03152352571487427,
-0.018975399434566498,
-0.010059504769742489,
-0.046774350106716156,
-0.02341579832136631,
0.0631430521607399,
-0.0002033479540841654,
-0.05273667350411415,
-0.05552501231431961,
0.023836154490709305,
-0.08246557414531708,
0.05924379080533981,
0.0036124142352491617,
-0.04762222617864609,
0.02904629148542881,
0.03914829343557358,
-0.0012404148001223803,
0.0954829752445221,
-0.06228100508451462,
0.010407364927232265,
-0.06419151276350021,
0.03019040636718273,
0.05913977324962616,
-0.08913472294807434,
0.03409776836633682,
0.029620666056871414,
0.0251760371029377,
0.05400253087282181,
-0.037741731852293015,
-0.050044942647218704,
-0.028943048790097237,
0.05821603909134865,
-0.031707458198070526,
-0.09243570268154144,
-0.006576658226549625,
-8.216402455110468e-34,
-0.034261319786310196,
-0.059461239725351334,
-0.021596524864435196,
0.04693000763654709,
0.009521428495645523,
-0.03475024551153183,
0.026505203917622566,
0.03250757232308388,
-0.02111583761870861,
-0.03287005424499512,
-0.04491933807730675,
0.035941850394010544,
-0.06718824803829193,
-0.023988893255591393,
0.05290057137608528,
0.0012118240119889379,
-0.00358467735350132,
0.03553381934762001,
-0.12571939826011658,
0.000597502279561013,
0.024856431409716606,
0.12468297779560089,
0.08383557200431824,
0.01153478678315878,
-0.08131321519613266,
-0.05285301059484482,
0.010350119322538376,
-0.031961359083652496,
0.0330701507627964,
0.03076404705643654,
-0.0720992162823677,
-0.06886670738458633,
0.05198394134640694,
0.023861780762672424,
-0.012003587558865547,
0.019397122785449028,
-0.05846185237169266,
0.03477773815393448,
-0.03459765017032623,
0.004929700866341591,
-0.06070658937096596,
0.061603281646966934,
0.0068773794919252396,
0.02567821554839611,
-0.037102025002241135,
-0.01874036341905594,
0.07272198051214218,
0.01728239469230175,
0.011861545033752918,
0.03276490792632103,
0.012517699040472507,
-0.0941440612077713,
0.08202856034040451,
0.05354611203074455,
0.003565719584003091,
0.07372645288705826,
0.005953408777713776,
0.03755176067352295,
0.08630887418985367,
-0.0023649814538657665,
-0.04637593403458595,
0.00239535397849977,
0.09436487406492233,
-0.028946883976459503,
-0.04108921438455582,
0.02705584093928337,
0.028403494507074356,
-0.019744103774428368,
-0.0582212470471859,
0.060062870383262634,
0.013876089826226234,
-0.04443550109863281,
0.03501280024647713,
0.02852441929280758,
0.06075356900691986,
0.034823160618543625,
0.01229023840278387,
0.022541537880897522,
-0.0678737685084343,
0.0061795939691364765,
-0.10278208553791046,
0.03662436082959175,
0.018706029281020164,
0.0625658705830574,
0.059359338134527206,
-0.0014660246670246124,
0.007801553700119257,
-0.05318016558885574,
0.008074235171079636,
-0.11643871665000916,
0.021068738773465157,
0.07714821398258209,
0.07162491977214813,
-0.08655478805303574,
0.07713919878005981,
-4.0301024739619606e-8,
-0.0686253160238266,
-0.03140225261449814,
-0.012459796853363514,
0.04661877453327179,
0.013788540847599506,
0.004870247561484575,
0.03851301223039627,
-0.0018980421591550112,
0.02941432222723961,
-0.0980461910367012,
-0.0749082863330841,
0.0001865118829300627,
0.0032883710227906704,
-0.052244093269109726,
-0.04794909060001373,
-0.02470315434038639,
-0.008034476079046726,
-0.026196833699941635,
-0.009698241949081421,
0.07575555145740509,
-0.11370668560266495,
0.04504774138331413,
0.04185902327299118,
-0.015699241310358047,
0.005750698037445545,
0.036962587386369705,
-0.032361797988414764,
-0.10101084411144257,
0.018053682520985603,
-0.00699966587126255,
-0.04001425951719284,
0.019414788112044334,
0.01007934007793665,
0.05756532773375511,
-0.05447188392281532,
0.009197111241519451,
0.0839117020368576,
0.0491863414645195,
-0.01176640298217535,
0.03335556015372276,
0.03169380500912666,
0.04059357941150665,
0.026293935254216194,
-0.002893671626225114,
-0.038411252200603485,
0.1640811562538147,
0.049022428691387177,
-0.044025298207998276,
-0.006343580316752195,
0.010524775832891464,
0.0013476626481860876,
0.05200280621647835,
-0.014712858945131302,
-0.09999329596757889,
0.014669034630060196,
0.0010080368956550956,
-0.010252619162201881,
-0.020234549418091774,
0.08495490998029709,
0.06867626309394836,
0.02654506452381611,
0.04904615134000778,
-0.04348071664571762,
0.0038908058777451515
] |
1401.7659
|
Joseph H. Thywissen
|
Dylan Jervis and Joseph H. Thywissen
|
Making an ultracold gas
|
16 pages, 2 figures. New version includes corrections, improved
format, and hyperlinked references. To appear as Chapter 2 in "Quantum gas
experiments - exploring many-body states," P. Torma, K. Sengstock, eds.
(Imperial College Press, 2014)
| null |
10.1142/9781783264766_0002
| null |
cond-mat.quant-gas physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide an introduction to the experimental physics of quantum gases. At
the low densities of ultracold quantum gases, confinement can be understood
from single-particle physics, and interactions can be understood from two-body
physics. The structure of atoms provides resonances both in the optical domain
and in the radio-frequency domain. Atomic structure data is given for the 27
atomic isotopes that had been brought to quantum degeneracy at the time this
chapter was written. We discuss the motivations behind choosing among these
species. We review how static and oscillatory fields are treated
mathematically. An electric dipole moment can be induced in a neutral atom, and
is the basis for optical manipulation as well as short-range interactions. Many
atoms have permanent magnetic dipole moments, which can be used for trapping or
long-range interactions. The Toronto $^{40}$K/$^{87}$Rb lattice experiment
provides an illustration of how these tools are combined to create an
ultracold, quantum-degenerate gas.
|
[
{
"created": "Wed, 29 Jan 2014 20:47:30 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Mar 2014 15:34:28 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Jervis",
"Dylan",
""
],
[
"Thywissen",
"Joseph H.",
""
]
] |
[
-0.01672428473830223,
0.018003644421696663,
-0.04841446131467819,
0.07197371125221252,
-0.008731300011277199,
0.04067501053214073,
0.00018522617756389081,
0.008755821734666824,
0.029330668970942497,
-0.008644110523164272,
-0.008348483592271805,
-0.04937038943171501,
-0.08516483008861542,
-0.007472923956811428,
0.07507506757974625,
0.00860530138015747,
0.049179431051015854,
-0.0013313938397914171,
-0.004191779065877199,
0.13327303528785706,
-0.019890548661351204,
-0.09709316492080688,
0.04783668369054794,
-0.03391793370246887,
-0.0020218382123857737,
0.0276819858700037,
0.04281497001647949,
0.025479048490524292,
0.07359930127859116,
-0.02963062934577465,
0.07950706034898758,
-0.0023910892195999622,
-0.04131011292338371,
0.006939290091395378,
0.0516614131629467,
-0.09074072539806366,
0.02172785997390747,
0.023488661274313927,
-0.051505811512470245,
-0.005469723604619503,
-0.0026255249977111816,
0.04418311268091202,
-0.08539639413356781,
0.058393727988004684,
0.0024467313196510077,
-0.023183153942227364,
0.09949509054422379,
0.003954620566219091,
-0.013610618188977242,
-0.07562871277332306,
0.02818559855222702,
0.03785572946071625,
-0.004627527669072151,
0.03161612153053284,
0.029947996139526367,
0.036370329558849335,
-0.032425712794065475,
-0.05792611464858055,
-0.008167787455022335,
-0.14681994915008545,
-0.015457047149538994,
-0.00272070593200624,
-0.013959787786006927,
-0.00024023305741138756,
0.07554302364587784,
-0.007568683475255966,
-0.01987360790371895,
0.006457814481109381,
0.09099110215902328,
-0.011931861750781536,
0.0013835412682965398,
-0.02689877711236477,
-0.07634761184453964,
0.07460063695907593,
0.025013308972120285,
0.05633331835269928,
-0.040598493069410324,
0.02485973946750164,
0.017931802198290825,
-0.0140358442440629,
-0.00249844160862267,
-0.06599428504705429,
-0.015717383474111557,
-0.028385501354932785,
-0.042067114263772964,
0.02025391161441803,
0.028008144348859787,
0.005959056317806244,
-0.07487901300191879,
-0.09672056138515472,
-0.0384773388504982,
0.007045694161206484,
0.015100926160812378,
-0.047012314200401306,
-0.000777052715420723,
0.02233322337269783,
0.14067432284355164,
0.015064087696373463,
-0.002638920210301876,
0.02835834212601185,
0.17452530562877655,
0.0061353472992777824,
-0.04691643267869949,
0.0936826840043068,
-0.08650927245616913,
-0.08950396627187729,
0.06533192098140717,
-0.0015058181015774608,
-0.06631112843751907,
0.022851932793855667,
0.031233439221978188,
-0.042007505893707275,
-0.02373940497636795,
-0.05119551718235016,
-0.006794302724301815,
-0.04022075608372688,
-0.032704874873161316,
0.07925596833229065,
-0.038420598953962326,
0.036017585545778275,
-0.010583543218672276,
0.04785085469484329,
-0.07544376701116562,
0.05786554515361786,
0.028560739010572433,
0.011164206080138683,
-0.07780804485082626,
1.6781298577621435e-33,
0.08329783380031586,
0.04729321971535683,
-0.022786255925893784,
0.07136673480272293,
0.03913162648677826,
-0.09545419365167618,
0.04044000431895256,
-0.04371841251850128,
-0.07197196781635284,
0.1289955973625183,
0.03321906551718712,
0.041235245764255524,
0.11108627915382385,
-0.1002708375453949,
-0.01050247997045517,
-0.002900431863963604,
-0.08206867426633835,
0.02139010652899742,
0.06222940981388092,
0.0375705286860466,
-0.05253645405173302,
0.05843751132488251,
0.022134749218821526,
0.025793932378292084,
-0.022673750296235085,
0.04223499074578285,
0.015415036119520664,
0.03256716951727867,
-0.0015159565955400467,
-0.02273578941822052,
0.0055987597443163395,
0.09480952471494675,
-0.05215391889214516,
0.05778246000409126,
0.07261575013399124,
-0.06327199935913086,
-0.05091572925448418,
-0.01810765266418457,
-0.009876680560410023,
-0.05849016457796097,
0.005179817788302898,
-0.03585267812013626,
0.04570847749710083,
0.015952887013554573,
0.1023062989115715,
-0.0020946371369063854,
0.06736934930086136,
-0.015224514529109001,
-0.017476798966526985,
-0.025800902396440506,
0.03486054763197899,
-0.0026814511511474848,
0.0010630828328430653,
0.023575803264975548,
0.06412485986948013,
0.003232513554394245,
0.05625275522470474,
-0.028434600681066513,
-0.043704066425561905,
-0.01065662782639265,
-0.00033119539148174226,
0.07552991807460785,
0.031282637268304825,
0.03503009304404259,
-0.044589996337890625,
-0.007896210066974163,
-0.15338723361492157,
-0.0518958680331707,
0.03967622295022011,
0.07724258303642273,
-0.010866937227547169,
0.08931448310613632,
0.05764252319931984,
-0.0883888229727745,
0.023732416331768036,
0.007211028132587671,
0.010004237294197083,
-0.053143199533224106,
0.017271803691983223,
0.046910855919122696,
0.018188048154115677,
-0.10479581356048584,
-0.03140006214380264,
-0.008825990371406078,
-0.0916665643453598,
-0.0721130222082138,
-0.06290320307016373,
-0.09561211615800858,
-0.005897087510675192,
0.022493062540888786,
0.029768578708171844,
-0.053451213985681534,
0.0548148937523365,
-0.09256447851657867,
-0.04801436886191368,
-3.6735381304387e-33,
0.01499974075704813,
-0.026903657242655754,
-0.06733784824609756,
0.009510892443358898,
0.04305250570178032,
0.06473158299922943,
-0.06577831506729126,
0.0007410116959363222,
0.03818673640489578,
-0.04041241854429245,
0.04127836599946022,
0.04856084659695625,
0.0263777244836092,
-0.017865849658846855,
-0.06679511815309525,
0.08472560346126556,
0.00803585909307003,
-0.07676248997449875,
0.060156792402267456,
-0.047844965010881424,
-0.03198746219277382,
0.04990982636809349,
0.05383893847465515,
-0.030296286568045616,
0.0047958772629499435,
0.01284805592149496,
0.15009987354278564,
-0.0387924499809742,
-0.00019985860853921622,
0.0043792808428406715,
-0.005742842797189951,
0.018773240968585014,
-0.005632105283439159,
-0.019640041515231133,
-0.07518153637647629,
-0.03502611070871353,
0.04422901198267937,
0.0358847938477993,
-0.04073217883706093,
-0.08261287957429886,
-0.07928826659917831,
0.0077451057732105255,
0.0019726373720914125,
0.010673489421606064,
0.06349574774503708,
0.024721113964915276,
-0.030962008982896805,
-0.02015717327594757,
-0.03310450538992882,
-0.05865895748138428,
-0.05567927286028862,
-0.047526899725198746,
0.00042922658030875027,
0.0369386151432991,
-0.053403791040182114,
-0.015304923988878727,
-0.0024002676364034414,
0.030628951266407967,
0.1440502554178238,
0.020738454535603523,
0.022658303380012512,
-0.0231824591755867,
0.030547041445970535,
0.007287471555173397,
-0.013501651585102081,
-0.05793340876698494,
-0.04604138433933258,
-0.016167303547263145,
-0.011029715649783611,
-0.030487533658742905,
0.022922856733202934,
-0.03271007537841797,
0.004576836246997118,
0.02640136517584324,
0.04414219781756401,
0.0393611304461956,
0.14767390489578247,
-0.07504640519618988,
-0.00535455672070384,
-0.05143871530890465,
-0.09555812180042267,
0.04918435215950012,
-0.06846310943365097,
-0.04770028591156006,
0.0543971061706543,
0.03636898100376129,
-0.08760786801576614,
-0.008870832622051239,
-0.0036729113198816776,
-0.041132502257823944,
0.042938508093357086,
-0.027151644229888916,
0.07495784759521484,
-0.02637476660311222,
0.0984688326716423,
-5.518691992278946e-8,
0.06019340455532074,
0.04932070150971413,
-0.03898118808865547,
0.018893558531999588,
0.04699000343680382,
0.04405800253152847,
-0.009235261008143425,
-0.023854371160268784,
0.003234239062294364,
-0.0015661221696063876,
0.04116089269518852,
-0.013572086580097675,
0.016960375010967255,
-0.0036704104859381914,
0.12280001491308212,
0.05376290902495384,
-0.06108972802758217,
-0.04278600588440895,
-0.05040234327316284,
0.0174984410405159,
0.03682685270905495,
0.033261094242334366,
0.043455783277750015,
-0.0108686788007617,
-0.01450821291655302,
0.03755582496523857,
-0.0037623243406414986,
-0.0781431645154953,
0.0037518111057579517,
-0.004158706869930029,
-0.0004947439883835614,
-0.00912479218095541,
0.07544440776109695,
0.02869022637605667,
-0.040630023926496506,
-0.045031528919935226,
-0.08379202336072922,
0.01566098816692829,
-0.05850982293486595,
-0.02717016637325287,
-0.02128010243177414,
-0.0024486861657351255,
-0.10382933169603348,
0.016416840255260468,
-0.05703197419643402,
0.02108919247984886,
-0.07545358687639236,
0.050716716796159744,
0.028847984969615936,
0.07553315162658691,
-0.053085390478372574,
0.024055279791355133,
-0.024664271622896194,
-0.0819619670510292,
-0.04089133068919182,
0.03978623077273369,
-0.0533955842256546,
0.003972659818828106,
-0.0030074489768594503,
0.01616523042321205,
0.046950098127126694,
-0.0021257575135678053,
-0.0745207816362381,
-0.018457908183336258
] | null | null | null | null | null | null | null |
[
-0.01672428473830223,
0.018003644421696663,
-0.04841446131467819,
0.07197371125221252,
-0.008731300011277199,
0.04067501053214073,
0.00018522617756389081,
0.008755821734666824,
0.029330668970942497,
-0.008644110523164272,
-0.008348483592271805,
-0.04937038943171501,
-0.08516483008861542,
-0.007472923956811428,
0.07507506757974625,
0.00860530138015747,
0.049179431051015854,
-0.0013313938397914171,
-0.004191779065877199,
0.13327303528785706,
-0.019890548661351204,
-0.09709316492080688,
0.04783668369054794,
-0.03391793370246887,
-0.0020218382123857737,
0.0276819858700037,
0.04281497001647949,
0.025479048490524292,
0.07359930127859116,
-0.02963062934577465,
0.07950706034898758,
-0.0023910892195999622,
-0.04131011292338371,
0.006939290091395378,
0.0516614131629467,
-0.09074072539806366,
0.02172785997390747,
0.023488661274313927,
-0.051505811512470245,
-0.005469723604619503,
-0.0026255249977111816,
0.04418311268091202,
-0.08539639413356781,
0.058393727988004684,
0.0024467313196510077,
-0.023183153942227364,
0.09949509054422379,
0.003954620566219091,
-0.013610618188977242,
-0.07562871277332306,
0.02818559855222702,
0.03785572946071625,
-0.004627527669072151,
0.03161612153053284,
0.029947996139526367,
0.036370329558849335,
-0.032425712794065475,
-0.05792611464858055,
-0.008167787455022335,
-0.14681994915008545,
-0.015457047149538994,
-0.00272070593200624,
-0.013959787786006927,
-0.00024023305741138756,
0.07554302364587784,
-0.007568683475255966,
-0.01987360790371895,
0.006457814481109381,
0.09099110215902328,
-0.011931861750781536,
0.0013835412682965398,
-0.02689877711236477,
-0.07634761184453964,
0.07460063695907593,
0.025013308972120285,
0.05633331835269928,
-0.040598493069410324,
0.02485973946750164,
0.017931802198290825,
-0.0140358442440629,
-0.00249844160862267,
-0.06599428504705429,
-0.015717383474111557,
-0.028385501354932785,
-0.042067114263772964,
0.02025391161441803,
0.028008144348859787,
0.005959056317806244,
-0.07487901300191879,
-0.09672056138515472,
-0.0384773388504982,
0.007045694161206484,
0.015100926160812378,
-0.047012314200401306,
-0.000777052715420723,
0.02233322337269783,
0.14067432284355164,
0.015064087696373463,
-0.002638920210301876,
0.02835834212601185,
0.17452530562877655,
0.0061353472992777824,
-0.04691643267869949,
0.0936826840043068,
-0.08650927245616913,
-0.08950396627187729,
0.06533192098140717,
-0.0015058181015774608,
-0.06631112843751907,
0.022851932793855667,
0.031233439221978188,
-0.042007505893707275,
-0.02373940497636795,
-0.05119551718235016,
-0.006794302724301815,
-0.04022075608372688,
-0.032704874873161316,
0.07925596833229065,
-0.038420598953962326,
0.036017585545778275,
-0.010583543218672276,
0.04785085469484329,
-0.07544376701116562,
0.05786554515361786,
0.028560739010572433,
0.011164206080138683,
-0.07780804485082626,
1.6781298577621435e-33,
0.08329783380031586,
0.04729321971535683,
-0.022786255925893784,
0.07136673480272293,
0.03913162648677826,
-0.09545419365167618,
0.04044000431895256,
-0.04371841251850128,
-0.07197196781635284,
0.1289955973625183,
0.03321906551718712,
0.041235245764255524,
0.11108627915382385,
-0.1002708375453949,
-0.01050247997045517,
-0.002900431863963604,
-0.08206867426633835,
0.02139010652899742,
0.06222940981388092,
0.0375705286860466,
-0.05253645405173302,
0.05843751132488251,
0.022134749218821526,
0.025793932378292084,
-0.022673750296235085,
0.04223499074578285,
0.015415036119520664,
0.03256716951727867,
-0.0015159565955400467,
-0.02273578941822052,
0.0055987597443163395,
0.09480952471494675,
-0.05215391889214516,
0.05778246000409126,
0.07261575013399124,
-0.06327199935913086,
-0.05091572925448418,
-0.01810765266418457,
-0.009876680560410023,
-0.05849016457796097,
0.005179817788302898,
-0.03585267812013626,
0.04570847749710083,
0.015952887013554573,
0.1023062989115715,
-0.0020946371369063854,
0.06736934930086136,
-0.015224514529109001,
-0.017476798966526985,
-0.025800902396440506,
0.03486054763197899,
-0.0026814511511474848,
0.0010630828328430653,
0.023575803264975548,
0.06412485986948013,
0.003232513554394245,
0.05625275522470474,
-0.028434600681066513,
-0.043704066425561905,
-0.01065662782639265,
-0.00033119539148174226,
0.07552991807460785,
0.031282637268304825,
0.03503009304404259,
-0.044589996337890625,
-0.007896210066974163,
-0.15338723361492157,
-0.0518958680331707,
0.03967622295022011,
0.07724258303642273,
-0.010866937227547169,
0.08931448310613632,
0.05764252319931984,
-0.0883888229727745,
0.023732416331768036,
0.007211028132587671,
0.010004237294197083,
-0.053143199533224106,
0.017271803691983223,
0.046910855919122696,
0.018188048154115677,
-0.10479581356048584,
-0.03140006214380264,
-0.008825990371406078,
-0.0916665643453598,
-0.0721130222082138,
-0.06290320307016373,
-0.09561211615800858,
-0.005897087510675192,
0.022493062540888786,
0.029768578708171844,
-0.053451213985681534,
0.0548148937523365,
-0.09256447851657867,
-0.04801436886191368,
-3.6735381304387e-33,
0.01499974075704813,
-0.026903657242655754,
-0.06733784824609756,
0.009510892443358898,
0.04305250570178032,
0.06473158299922943,
-0.06577831506729126,
0.0007410116959363222,
0.03818673640489578,
-0.04041241854429245,
0.04127836599946022,
0.04856084659695625,
0.0263777244836092,
-0.017865849658846855,
-0.06679511815309525,
0.08472560346126556,
0.00803585909307003,
-0.07676248997449875,
0.060156792402267456,
-0.047844965010881424,
-0.03198746219277382,
0.04990982636809349,
0.05383893847465515,
-0.030296286568045616,
0.0047958772629499435,
0.01284805592149496,
0.15009987354278564,
-0.0387924499809742,
-0.00019985860853921622,
0.0043792808428406715,
-0.005742842797189951,
0.018773240968585014,
-0.005632105283439159,
-0.019640041515231133,
-0.07518153637647629,
-0.03502611070871353,
0.04422901198267937,
0.0358847938477993,
-0.04073217883706093,
-0.08261287957429886,
-0.07928826659917831,
0.0077451057732105255,
0.0019726373720914125,
0.010673489421606064,
0.06349574774503708,
0.024721113964915276,
-0.030962008982896805,
-0.02015717327594757,
-0.03310450538992882,
-0.05865895748138428,
-0.05567927286028862,
-0.047526899725198746,
0.00042922658030875027,
0.0369386151432991,
-0.053403791040182114,
-0.015304923988878727,
-0.0024002676364034414,
0.030628951266407967,
0.1440502554178238,
0.020738454535603523,
0.022658303380012512,
-0.0231824591755867,
0.030547041445970535,
0.007287471555173397,
-0.013501651585102081,
-0.05793340876698494,
-0.04604138433933258,
-0.016167303547263145,
-0.011029715649783611,
-0.030487533658742905,
0.022922856733202934,
-0.03271007537841797,
0.004576836246997118,
0.02640136517584324,
0.04414219781756401,
0.0393611304461956,
0.14767390489578247,
-0.07504640519618988,
-0.00535455672070384,
-0.05143871530890465,
-0.09555812180042267,
0.04918435215950012,
-0.06846310943365097,
-0.04770028591156006,
0.0543971061706543,
0.03636898100376129,
-0.08760786801576614,
-0.008870832622051239,
-0.0036729113198816776,
-0.041132502257823944,
0.042938508093357086,
-0.027151644229888916,
0.07495784759521484,
-0.02637476660311222,
0.0984688326716423,
-5.518691992278946e-8,
0.06019340455532074,
0.04932070150971413,
-0.03898118808865547,
0.018893558531999588,
0.04699000343680382,
0.04405800253152847,
-0.009235261008143425,
-0.023854371160268784,
0.003234239062294364,
-0.0015661221696063876,
0.04116089269518852,
-0.013572086580097675,
0.016960375010967255,
-0.0036704104859381914,
0.12280001491308212,
0.05376290902495384,
-0.06108972802758217,
-0.04278600588440895,
-0.05040234327316284,
0.0174984410405159,
0.03682685270905495,
0.033261094242334366,
0.043455783277750015,
-0.0108686788007617,
-0.01450821291655302,
0.03755582496523857,
-0.0037623243406414986,
-0.0781431645154953,
0.0037518111057579517,
-0.004158706869930029,
-0.0004947439883835614,
-0.00912479218095541,
0.07544440776109695,
0.02869022637605667,
-0.040630023926496506,
-0.045031528919935226,
-0.08379202336072922,
0.01566098816692829,
-0.05850982293486595,
-0.02717016637325287,
-0.02128010243177414,
-0.0024486861657351255,
-0.10382933169603348,
0.016416840255260468,
-0.05703197419643402,
0.02108919247984886,
-0.07545358687639236,
0.050716716796159744,
0.028847984969615936,
0.07553315162658691,
-0.053085390478372574,
0.024055279791355133,
-0.024664271622896194,
-0.0819619670510292,
-0.04089133068919182,
0.03978623077273369,
-0.0533955842256546,
0.003972659818828106,
-0.0030074489768594503,
0.01616523042321205,
0.046950098127126694,
-0.0021257575135678053,
-0.0745207816362381,
-0.018457908183336258
] |
1401.7662
|
Yaron Bromberg
|
Yaron Bromberg and Hui Cao
|
Generating non-Rayleigh speckles with tailored intensity statistics
|
Comments are welcome
|
Rev. Lett. 115, 213904 (2014)
|
10.1103/PhysRevLett.112.213904
| null |
physics.optics quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We experimentally generate speckle patterns with non-Rayleigh intensity
statistics using a phase-only spatial light modulator. By introducing high
order correlations to the input light fields we redistribute the intensity
among the speckle grains, while preserving the granular structure of the
pattern. Our method is versatile and allows for generating speckle patterns
with enhanced or diminished contrast in a controlled manner.
|
[
{
"created": "Wed, 29 Jan 2014 20:55:19 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 2014 18:37:24 GMT",
"version": "v2"
}
] |
2017-04-17
|
[
[
"Bromberg",
"Yaron",
""
],
[
"Cao",
"Hui",
""
]
] |
[
0.04708188399672508,
-0.08287603408098221,
0.048311807215213776,
-0.013616325333714485,
-0.03761284798383713,
-0.017217479646205902,
0.0011959277326241136,
-0.11195496469736099,
-0.019674018025398254,
-0.026155943050980568,
-0.05092816427350044,
0.04332774132490158,
0.022346405312418938,
-0.021777363494038582,
0.018222400918602943,
0.05954495072364807,
0.035399533808231354,
-0.002307706046849489,
-0.030268769711256027,
-0.03798026219010353,
0.11044635623693466,
-0.02004406228661537,
-0.08252544701099396,
-0.05080299824476242,
0.050994474440813065,
-0.04307801276445389,
0.04486536234617233,
0.018441686406731606,
0.022123249247670174,
0.009399802424013615,
0.04053344205021858,
0.03894738107919693,
0.032553065568208694,
-0.014131833799183369,
0.003252421971410513,
-0.0964096263051033,
0.055998776108026505,
0.0076619600877165794,
0.06484372913837433,
0.06784317642450333,
0.009161403402686119,
-0.010633333586156368,
-0.04932364448904991,
-0.03183670714497566,
-0.014787888154387474,
0.04465687274932861,
0.08727622032165527,
-0.02637930028140545,
-0.02372504584491253,
-0.020162532106041908,
0.036748576909303665,
0.011472606100142002,
-0.008838898502290249,
-0.0005339752533473074,
0.07989086210727692,
0.0710916519165039,
0.011870773509144783,
-0.0006306662107817829,
0.035751987248659134,
-0.044251710176467896,
-0.026896445080637932,
0.09348747879266739,
-0.008345864713191986,
-0.028313536196947098,
0.0743175819516182,
0.015345376916229725,
-0.015284327790141106,
0.027827205136418343,
0.09573695808649063,
-0.10294745862483978,
-0.0934581384062767,
0.06037423759698868,
0.07134170085191727,
0.05896751210093498,
-0.04594922065734863,
0.07105448096990585,
-0.013213378377258778,
-0.010558615438640118,
0.006162681151181459,
-0.012087346985936165,
0.038322508335113525,
-0.03330060839653015,
0.058945756405591965,
0.03962831199169159,
-0.022121360525488853,
0.010667677968740463,
-0.011375967413187027,
0.07314705103635788,
-0.005002819001674652,
-0.03863237053155899,
-0.06566355377435684,
-0.05035199224948883,
-0.07753641903400421,
-0.046491507440805435,
-0.016393329948186874,
-0.04939327761530876,
0.010494844056665897,
-0.10394664853811264,
0.05138542130589485,
-0.007771770004183054,
0.06377355009317398,
-0.12690845131874084,
0.02216707356274128,
0.01739436946809292,
0.05364302545785904,
-0.035350676625967026,
0.05552642047405243,
0.07379411160945892,
-0.025134656578302383,
0.04962217062711716,
0.048256583511829376,
-0.013713088817894459,
-0.000040187500417232513,
-0.036145858466625214,
-0.0151604525744915,
0.002864896785467863,
-0.05776691809296608,
0.10872188955545425,
-0.06336098909378052,
-0.06049296632409096,
0.1126227080821991,
-0.020534943789243698,
-0.12466099113225937,
0.04328879714012146,
0.040073152631521225,
0.05569637566804886,
0.004559114575386047,
-2.343579184225808e-34,
0.0539558082818985,
0.08631619065999985,
-0.036561328917741776,
0.022439537569880486,
-0.0034931425470858812,
-0.01973900943994522,
0.033912088721990585,
-0.08403310179710388,
-0.027403686195611954,
0.00500987283885479,
0.04273509979248047,
0.06682369858026505,
0.0029301720205694437,
0.02891986444592476,
0.059247035533189774,
-0.011915706098079681,
0.06384914368391037,
-0.00854649767279625,
0.02462967485189438,
0.06695660948753357,
-0.05782628059387207,
0.059366729110479355,
-0.016835594549775124,
-0.06564502418041229,
-0.11204565316438675,
0.041329145431518555,
-0.0009259068756364286,
-0.018655547872185707,
0.024505289271473885,
-0.002645367057994008,
0.046369682997465134,
0.06989360600709915,
0.07600613683462143,
0.04302364960312843,
-0.005524348467588425,
-0.04049272835254669,
0.000354367948602885,
-0.008561113849282265,
0.025059010833501816,
0.017081402242183685,
0.02789168246090412,
0.03588300570845604,
0.03176461160182953,
0.023336533457040787,
0.060693759471178055,
-0.011502944864332676,
-0.03158176690340042,
0.0439935177564621,
-0.014435430988669395,
0.01392182894051075,
0.008079851046204567,
-0.006882139015942812,
0.0314478799700737,
-0.041636090725660324,
0.05467083305120468,
0.012010319158434868,
-0.03013528324663639,
-0.08655466139316559,
0.019401662051677704,
-0.019531652331352234,
0.010663204826414585,
-0.04693137854337692,
-0.007857410237193108,
0.011564640328288078,
0.015205450356006622,
-0.031934332102537155,
-0.030285410583019257,
0.026761505752801895,
-0.07933704555034637,
0.04155875742435455,
0.020106563344597816,
0.07346213608980179,
0.0003673274186439812,
-0.05411271005868912,
0.01765025407075882,
0.06683073937892914,
0.04262387752532959,
0.07895535975694656,
-0.09213071316480637,
-0.002792967716231942,
-0.026105374097824097,
0.02851046249270439,
-0.06623133271932602,
-0.053293514996767044,
0.008405374363064766,
0.1560446172952652,
-0.04652537778019905,
0.0696127861738205,
-0.12570351362228394,
-0.14461027085781097,
0.06325089186429977,
0.03482493385672569,
0.0038631604984402657,
-0.008469909429550171,
-0.0037662829272449017,
5.636126692675794e-34,
0.04695548862218857,
0.03713513910770416,
-0.09446251392364502,
0.019319580867886543,
0.04713614657521248,
0.06982982158660889,
0.05761446803808212,
-0.0797455757856369,
-0.011644171550869942,
0.041780322790145874,
-0.01522787380963564,
0.04190684109926224,
-0.027699913829565048,
-0.03606443852186203,
-0.047369252890348434,
-0.06474998593330383,
0.002021832624450326,
0.04555438458919525,
0.010059305466711521,
-0.06514585763216019,
0.06563547253608704,
0.0026658291462808847,
0.016044752672314644,
-0.0077217947691679,
-0.05224456265568733,
-0.031055046245455742,
-0.07632709294557571,
0.03498690202832222,
-0.04866286367177963,
0.01748301275074482,
-0.04755702614784241,
-0.02146565541625023,
0.06724799424409866,
-0.10860728472471237,
-0.08219736069440842,
0.025040000677108765,
0.054614536464214325,
-0.02884751185774803,
-0.08092404156923294,
0.010561958886682987,
-0.08057746291160583,
-0.0384097583591938,
0.050655849277973175,
-0.06375468522310257,
-0.021357260644435883,
0.05455051362514496,
0.07363928109407425,
-0.022998783737421036,
0.007671811617910862,
0.0066000353544950485,
-0.026814645156264305,
-0.0005080078262835741,
-0.059773851186037064,
0.00533547718077898,
-0.015831660479307175,
0.0019861829932779074,
-0.054903384298086166,
0.00989096611738205,
0.06072469428181648,
0.019554615020751953,
-0.09522604942321777,
-0.003164995228871703,
-0.049422312527894974,
-0.0011784397065639496,
0.035682689398527145,
0.07101202756166458,
0.03025370091199875,
-0.04642852023243904,
0.012244104407727718,
0.029333189129829407,
0.07472007721662521,
-0.015453367494046688,
0.09205443412065506,
0.02053011953830719,
0.1073698103427887,
0.009787403978407383,
-0.03352107107639313,
0.0005332572618499398,
-0.08738192170858383,
0.02828630618751049,
0.04516864940524101,
-0.04986107721924782,
-0.003606626996770501,
0.06954476237297058,
0.020940443500876427,
0.025620723143219948,
-0.05924633890390396,
-0.05883382260799408,
0.017146099358797073,
0.045289065688848495,
0.023200616240501404,
0.05626191943883896,
0.09033382683992386,
-0.13539761304855347,
0.11018740385770798,
-3.408451121345024e-8,
0.05480019003152847,
-0.009458133950829506,
-0.01986108161509037,
-0.08231406658887863,
0.03537033125758171,
-0.040531259030103683,
0.034268930554389954,
0.05372879281640053,
0.04592685401439667,
-0.12030529975891113,
0.005507938098162413,
-0.07792694121599197,
-0.041665371507406235,
-0.0326673798263073,
0.06105703115463257,
0.001529351226054132,
0.055088408291339874,
-0.01527440082281828,
-0.03064599633216858,
-0.020990436896681786,
-0.09484948962926865,
-0.002814501291140914,
-0.02910233847796917,
0.01271056942641735,
-0.05362851172685623,
0.04585658013820648,
0.03256929665803909,
-0.140935018658638,
0.02296973392367363,
0.043163642287254333,
-0.0017982041463255882,
-0.005439403932541609,
0.019076844677329063,
0.012467160820960999,
-0.13063539564609528,
0.003526256885379553,
-0.055206213146448135,
0.09149553626775742,
-0.0847165584564209,
-0.0295314472168684,
-0.05312235653400421,
-0.010569932870566845,
0.018304040655493736,
-0.011704928241670132,
0.05386919900774956,
0.07956085354089737,
0.04595998674631119,
-0.08781421929597855,
-0.0225190632045269,
0.005186924710869789,
0.007589323446154594,
0.049730271100997925,
0.011185511946678162,
-0.013957057148218155,
0.041026026010513306,
-0.0372583232820034,
0.014491102658212185,
-0.034690745174884796,
0.03316599130630493,
0.019549660384655,
-0.016414541751146317,
0.06507661938667297,
0.01629703678190708,
-0.056707415729761124
] | null | null | null | null | null | null | null |
[
0.04708188399672508,
-0.08287603408098221,
0.048311807215213776,
-0.013616325333714485,
-0.03761284798383713,
-0.017217479646205902,
0.0011959277326241136,
-0.11195496469736099,
-0.019674018025398254,
-0.026155943050980568,
-0.05092816427350044,
0.04332774132490158,
0.022346405312418938,
-0.021777363494038582,
0.018222400918602943,
0.05954495072364807,
0.035399533808231354,
-0.002307706046849489,
-0.030268769711256027,
-0.03798026219010353,
0.11044635623693466,
-0.02004406228661537,
-0.08252544701099396,
-0.05080299824476242,
0.050994474440813065,
-0.04307801276445389,
0.04486536234617233,
0.018441686406731606,
0.022123249247670174,
0.009399802424013615,
0.04053344205021858,
0.03894738107919693,
0.032553065568208694,
-0.014131833799183369,
0.003252421971410513,
-0.0964096263051033,
0.055998776108026505,
0.0076619600877165794,
0.06484372913837433,
0.06784317642450333,
0.009161403402686119,
-0.010633333586156368,
-0.04932364448904991,
-0.03183670714497566,
-0.014787888154387474,
0.04465687274932861,
0.08727622032165527,
-0.02637930028140545,
-0.02372504584491253,
-0.020162532106041908,
0.036748576909303665,
0.011472606100142002,
-0.008838898502290249,
-0.0005339752533473074,
0.07989086210727692,
0.0710916519165039,
0.011870773509144783,
-0.0006306662107817829,
0.035751987248659134,
-0.044251710176467896,
-0.026896445080637932,
0.09348747879266739,
-0.008345864713191986,
-0.028313536196947098,
0.0743175819516182,
0.015345376916229725,
-0.015284327790141106,
0.027827205136418343,
0.09573695808649063,
-0.10294745862483978,
-0.0934581384062767,
0.06037423759698868,
0.07134170085191727,
0.05896751210093498,
-0.04594922065734863,
0.07105448096990585,
-0.013213378377258778,
-0.010558615438640118,
0.006162681151181459,
-0.012087346985936165,
0.038322508335113525,
-0.03330060839653015,
0.058945756405591965,
0.03962831199169159,
-0.022121360525488853,
0.010667677968740463,
-0.011375967413187027,
0.07314705103635788,
-0.005002819001674652,
-0.03863237053155899,
-0.06566355377435684,
-0.05035199224948883,
-0.07753641903400421,
-0.046491507440805435,
-0.016393329948186874,
-0.04939327761530876,
0.010494844056665897,
-0.10394664853811264,
0.05138542130589485,
-0.007771770004183054,
0.06377355009317398,
-0.12690845131874084,
0.02216707356274128,
0.01739436946809292,
0.05364302545785904,
-0.035350676625967026,
0.05552642047405243,
0.07379411160945892,
-0.025134656578302383,
0.04962217062711716,
0.048256583511829376,
-0.013713088817894459,
-0.000040187500417232513,
-0.036145858466625214,
-0.0151604525744915,
0.002864896785467863,
-0.05776691809296608,
0.10872188955545425,
-0.06336098909378052,
-0.06049296632409096,
0.1126227080821991,
-0.020534943789243698,
-0.12466099113225937,
0.04328879714012146,
0.040073152631521225,
0.05569637566804886,
0.004559114575386047,
-2.343579184225808e-34,
0.0539558082818985,
0.08631619065999985,
-0.036561328917741776,
0.022439537569880486,
-0.0034931425470858812,
-0.01973900943994522,
0.033912088721990585,
-0.08403310179710388,
-0.027403686195611954,
0.00500987283885479,
0.04273509979248047,
0.06682369858026505,
0.0029301720205694437,
0.02891986444592476,
0.059247035533189774,
-0.011915706098079681,
0.06384914368391037,
-0.00854649767279625,
0.02462967485189438,
0.06695660948753357,
-0.05782628059387207,
0.059366729110479355,
-0.016835594549775124,
-0.06564502418041229,
-0.11204565316438675,
0.041329145431518555,
-0.0009259068756364286,
-0.018655547872185707,
0.024505289271473885,
-0.002645367057994008,
0.046369682997465134,
0.06989360600709915,
0.07600613683462143,
0.04302364960312843,
-0.005524348467588425,
-0.04049272835254669,
0.000354367948602885,
-0.008561113849282265,
0.025059010833501816,
0.017081402242183685,
0.02789168246090412,
0.03588300570845604,
0.03176461160182953,
0.023336533457040787,
0.060693759471178055,
-0.011502944864332676,
-0.03158176690340042,
0.0439935177564621,
-0.014435430988669395,
0.01392182894051075,
0.008079851046204567,
-0.006882139015942812,
0.0314478799700737,
-0.041636090725660324,
0.05467083305120468,
0.012010319158434868,
-0.03013528324663639,
-0.08655466139316559,
0.019401662051677704,
-0.019531652331352234,
0.010663204826414585,
-0.04693137854337692,
-0.007857410237193108,
0.011564640328288078,
0.015205450356006622,
-0.031934332102537155,
-0.030285410583019257,
0.026761505752801895,
-0.07933704555034637,
0.04155875742435455,
0.020106563344597816,
0.07346213608980179,
0.0003673274186439812,
-0.05411271005868912,
0.01765025407075882,
0.06683073937892914,
0.04262387752532959,
0.07895535975694656,
-0.09213071316480637,
-0.002792967716231942,
-0.026105374097824097,
0.02851046249270439,
-0.06623133271932602,
-0.053293514996767044,
0.008405374363064766,
0.1560446172952652,
-0.04652537778019905,
0.0696127861738205,
-0.12570351362228394,
-0.14461027085781097,
0.06325089186429977,
0.03482493385672569,
0.0038631604984402657,
-0.008469909429550171,
-0.0037662829272449017,
5.636126692675794e-34,
0.04695548862218857,
0.03713513910770416,
-0.09446251392364502,
0.019319580867886543,
0.04713614657521248,
0.06982982158660889,
0.05761446803808212,
-0.0797455757856369,
-0.011644171550869942,
0.041780322790145874,
-0.01522787380963564,
0.04190684109926224,
-0.027699913829565048,
-0.03606443852186203,
-0.047369252890348434,
-0.06474998593330383,
0.002021832624450326,
0.04555438458919525,
0.010059305466711521,
-0.06514585763216019,
0.06563547253608704,
0.0026658291462808847,
0.016044752672314644,
-0.0077217947691679,
-0.05224456265568733,
-0.031055046245455742,
-0.07632709294557571,
0.03498690202832222,
-0.04866286367177963,
0.01748301275074482,
-0.04755702614784241,
-0.02146565541625023,
0.06724799424409866,
-0.10860728472471237,
-0.08219736069440842,
0.025040000677108765,
0.054614536464214325,
-0.02884751185774803,
-0.08092404156923294,
0.010561958886682987,
-0.08057746291160583,
-0.0384097583591938,
0.050655849277973175,
-0.06375468522310257,
-0.021357260644435883,
0.05455051362514496,
0.07363928109407425,
-0.022998783737421036,
0.007671811617910862,
0.0066000353544950485,
-0.026814645156264305,
-0.0005080078262835741,
-0.059773851186037064,
0.00533547718077898,
-0.015831660479307175,
0.0019861829932779074,
-0.054903384298086166,
0.00989096611738205,
0.06072469428181648,
0.019554615020751953,
-0.09522604942321777,
-0.003164995228871703,
-0.049422312527894974,
-0.0011784397065639496,
0.035682689398527145,
0.07101202756166458,
0.03025370091199875,
-0.04642852023243904,
0.012244104407727718,
0.029333189129829407,
0.07472007721662521,
-0.015453367494046688,
0.09205443412065506,
0.02053011953830719,
0.1073698103427887,
0.009787403978407383,
-0.03352107107639313,
0.0005332572618499398,
-0.08738192170858383,
0.02828630618751049,
0.04516864940524101,
-0.04986107721924782,
-0.003606626996770501,
0.06954476237297058,
0.020940443500876427,
0.025620723143219948,
-0.05924633890390396,
-0.05883382260799408,
0.017146099358797073,
0.045289065688848495,
0.023200616240501404,
0.05626191943883896,
0.09033382683992386,
-0.13539761304855347,
0.11018740385770798,
-3.408451121345024e-8,
0.05480019003152847,
-0.009458133950829506,
-0.01986108161509037,
-0.08231406658887863,
0.03537033125758171,
-0.040531259030103683,
0.034268930554389954,
0.05372879281640053,
0.04592685401439667,
-0.12030529975891113,
0.005507938098162413,
-0.07792694121599197,
-0.041665371507406235,
-0.0326673798263073,
0.06105703115463257,
0.001529351226054132,
0.055088408291339874,
-0.01527440082281828,
-0.03064599633216858,
-0.020990436896681786,
-0.09484948962926865,
-0.002814501291140914,
-0.02910233847796917,
0.01271056942641735,
-0.05362851172685623,
0.04585658013820648,
0.03256929665803909,
-0.140935018658638,
0.02296973392367363,
0.043163642287254333,
-0.0017982041463255882,
-0.005439403932541609,
0.019076844677329063,
0.012467160820960999,
-0.13063539564609528,
0.003526256885379553,
-0.055206213146448135,
0.09149553626775742,
-0.0847165584564209,
-0.0295314472168684,
-0.05312235653400421,
-0.010569932870566845,
0.018304040655493736,
-0.011704928241670132,
0.05386919900774956,
0.07956085354089737,
0.04595998674631119,
-0.08781421929597855,
-0.0225190632045269,
0.005186924710869789,
0.007589323446154594,
0.049730271100997925,
0.011185511946678162,
-0.013957057148218155,
0.041026026010513306,
-0.0372583232820034,
0.014491102658212185,
-0.034690745174884796,
0.03316599130630493,
0.019549660384655,
-0.016414541751146317,
0.06507661938667297,
0.01629703678190708,
-0.056707415729761124
] |
1401.7694
|
Jason Gross
|
Jason Gross and Adam Chlipala and David I. Spivak
|
Experience Implementing a Performant Category-Theory Library in Coq
|
The final publication will be available at link.springer.com. This
version includes a full bibliography which does not fit in the Springer
version; other than the more complete references, this is the version
submitted as a final copy to ITP 2014
| null |
10.1007/978-3-319-08970-6_18
| null |
math.CT cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe our experience implementing a broad category-theory library in
Coq. Category theory and computational performance are not usually mentioned in
the same breath, but we have needed substantial engineering effort to teach Coq
to cope with large categorical constructions without slowing proof script
processing unacceptably. In this paper, we share the lessons we have learned
about how to represent very abstract mathematical objects and arguments in Coq
and how future proof assistants might be designed to better support such
reasoning. One particular encoding trick to which we draw attention allows
category-theoretic arguments involving duality to be internalized in Coq's
logic with definitional equality. Ours may be the largest Coq development to
date that uses the relatively new Coq version developed by homotopy type
theorists, and we reflect on which new features were especially helpful.
|
[
{
"created": "Wed, 29 Jan 2014 22:29:29 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Apr 2014 00:11:11 GMT",
"version": "v2"
}
] |
2022-05-04
|
[
[
"Gross",
"Jason",
""
],
[
"Chlipala",
"Adam",
""
],
[
"Spivak",
"David I.",
""
]
] |
[
-0.03571790084242821,
0.07934624701738358,
-0.024352479726076126,
-0.02247464470565319,
-0.027559859678149223,
0.00711406534537673,
-0.027196811512112617,
0.010823525488376617,
-0.01005553174763918,
0.020385226234793663,
-0.07183665037155151,
-0.06400664895772934,
-0.05616874247789383,
0.04404083266854286,
0.08225719630718231,
0.011283979751169682,
0.026057999581098557,
0.019452014937996864,
-0.012406028807163239,
-0.10183451324701309,
-0.028393303975462914,
-0.06224307790398598,
0.007696755696088076,
0.011378074064850807,
-0.03453705087304115,
-0.03390553966164589,
-0.06788107752799988,
-0.04067705199122429,
0.05733263120055199,
-0.03765108436346054,
-0.06063765659928322,
0.06736286729574203,
-0.09540565311908722,
0.08285049349069595,
-0.005039298441261053,
0.05488209053874016,
0.04924852028489113,
-0.09660575538873672,
0.039812903851270676,
0.015719715505838394,
-0.011643555015325546,
0.05568637326359749,
0.010685687884688377,
-0.035195786505937576,
0.04571635276079178,
0.03332678973674774,
-0.0336042158305645,
0.003917773254215717,
-0.10458819568157196,
-0.07885164022445679,
0.0007995763444341719,
-0.009623786434531212,
-0.09606973826885223,
-0.0060568684712052345,
-0.014326411299407482,
0.042476166039705276,
0.0041185165755450726,
-0.04411006718873978,
-0.010712457820773125,
-0.06396738439798355,
-0.027590908110141754,
0.035308897495269775,
0.02769332379102707,
0.06497708708047867,
-0.0003104491624981165,
-0.007108243647962809,
0.027472592890262604,
0.07455752789974213,
0.04076177626848221,
0.09089379757642746,
-0.016431476920843124,
0.0028520182240754366,
-0.13130629062652588,
-0.0020600617863237858,
0.02491902746260166,
-0.006649593356996775,
0.046229541301727295,
-0.016650324687361717,
0.023137206211686134,
-0.005094645544886589,
-0.03603682667016983,
0.027706537395715714,
-0.007554763928055763,
0.021858200430870056,
0.05594392493367195,
0.006498273927718401,
-0.04496544972062111,
-0.016608748584985733,
-0.07389456778764725,
-0.011432240717113018,
0.04660550877451897,
-0.07004497945308685,
0.1336013525724411,
0.06289128959178925,
0.035177815705537796,
-0.015910184010863304,
0.030130797997117043,
0.016379060223698616,
0.0328492633998394,
0.043018270283937454,
-0.00505494698882103,
0.05931676924228668,
0.0326409712433815,
-0.06899545341730118,
0.06533113121986389,
-0.03634309768676758,
0.08486267179250717,
0.030216090381145477,
0.0844452977180481,
-0.04079534485936165,
-0.003159073879942298,
-0.06802117824554443,
-0.007701280992478132,
-0.07483787834644318,
-0.0768159031867981,
0.05213644355535507,
0.03396771103143692,
0.08445106446743011,
0.1018620952963829,
-0.03195006027817726,
0.07122745364904404,
0.0012475397670641541,
-0.015732815489172935,
0.018333008512854576,
0.08620190620422363,
-0.039123956114053726,
-0.10593448579311371,
1.937111283386456e-33,
0.06052233651280403,
0.0004984126426279545,
0.08183735609054565,
0.016440680250525475,
0.015543620102107525,
-0.002317214384675026,
0.040124718099832535,
-0.00820923876017332,
0.0007347161881625652,
0.04766032099723816,
0.009406786412000656,
0.10398824512958527,
-0.08347276598215103,
0.031503282487392426,
-0.00020808452973142266,
0.0015910378424450755,
-0.037218738347291946,
-0.033699702471494675,
-0.09623412787914276,
0.021803129464387894,
0.046526651829481125,
0.05048109218478203,
-0.07775244116783142,
0.05575147271156311,
-0.01809043064713478,
0.03174753487110138,
-0.010803124867379665,
-0.047082167118787766,
0.0007401046459563076,
0.03361305221915245,
-0.08482116460800171,
0.01530048530548811,
-0.02532641403377056,
0.0956428274512291,
-0.017018914222717285,
-0.017551586031913757,
-0.005967003758996725,
-0.09969951212406158,
-0.0048792725428938866,
-0.014541837386786938,
0.00568316550925374,
0.002671866212040186,
-0.03217363730072975,
-0.05215524137020111,
0.04143643006682396,
-0.013476526364684105,
-0.016348041594028473,
0.03942735865712166,
-0.01890791393816471,
-0.05844671651721001,
-0.017279326915740967,
0.058165304362773895,
-0.030287185683846474,
0.02461836114525795,
0.022918516770005226,
0.021746443584561348,
-0.011105525307357311,
0.006024826318025589,
0.04469822347164154,
0.11468252539634705,
-0.024745268747210503,
0.050973691046237946,
0.039784520864486694,
0.004962578881531954,
-0.12276822328567505,
-0.012545040808618069,
-0.06257887929677963,
-0.01701153628528118,
0.07750792801380157,
0.10631386935710907,
-0.030941123142838478,
0.006058289669454098,
-0.07660111039876938,
-0.01637227088212967,
0.10445867478847504,
-0.05234138295054436,
-0.009870203211903572,
-0.11816107481718063,
-0.019587785005569458,
0.04308034107089043,
0.043595291674137115,
-0.0002085676824208349,
0.07921548932790756,
-0.025778071954846382,
0.033322036266326904,
-0.1106121763586998,
0.01930982433259487,
0.0037792189978063107,
0.032504189759492874,
-0.02121099829673767,
-0.094304658472538,
0.055375538766384125,
0.06834395974874496,
-0.04530017822980881,
0.007971501909196377,
-4.379409998480006e-33,
-0.07614627480506897,
-0.028880681842565536,
-0.07796471565961838,
-0.0026895632036030293,
-0.13009342551231384,
-0.022839996963739395,
-0.03804934769868851,
-0.10563455522060394,
-0.005481544882059097,
-0.01700112782418728,
-0.027610763907432556,
-0.008760636672377586,
0.024981819093227386,
-0.020244790241122246,
0.03549370542168617,
-0.07156398147344589,
-0.08314656466245651,
-0.027654463425278664,
0.01920630782842636,
0.09984859079122543,
0.06965304166078568,
0.048324789851903915,
-0.088503398001194,
0.04332171007990837,
0.07841060310602188,
0.005747659131884575,
-0.025980893522500992,
-0.009606043808162212,
0.03937807306647301,
0.005398742854595184,
-0.08648793399333954,
-0.09855638444423676,
-0.048950985074043274,
-0.06674347817897797,
-0.023146502673625946,
-0.06711991876363754,
0.0739889144897461,
0.05028843134641647,
-0.047615066170692444,
-0.029514741152524948,
-0.002193481894209981,
-0.0947849228978157,
-0.024099210277199745,
0.020572731271386147,
0.02771882712841034,
-0.033325325697660446,
-0.00790981575846672,
0.033058539032936096,
0.0270527396351099,
0.03132861480116844,
-0.014611379243433475,
-0.05564095452427864,
0.024058356881141663,
-0.048375654965639114,
0.020490707829594612,
-0.010717145167291164,
-0.002238087123259902,
-0.06813657283782959,
-0.024371875450015068,
0.07502268254756927,
-0.01011085044592619,
0.007371200248599052,
0.016049988567829132,
0.04580311477184296,
0.0026894928887486458,
-0.0862429141998291,
-0.027434473857283592,
-0.08961861580610275,
0.016248473897576332,
-0.048658065497875214,
-0.039083294570446014,
0.03125281631946564,
-0.085903100669384,
0.009353473782539368,
-0.006023194640874863,
0.003943262156099081,
-0.00241377716884017,
-0.021652404218912125,
0.01920105703175068,
0.011907186359167099,
0.003687314223498106,
-0.0725942924618721,
0.1333802044391632,
0.055878810584545135,
0.03894781321287155,
-0.042096104472875595,
0.032829880714416504,
0.054331179708242416,
-0.03568091243505478,
0.1035856157541275,
-0.049647510051727295,
0.0003649300488177687,
-0.007967342622578144,
0.06972324848175049,
-0.07660314440727234,
-3.8930028978256814e-8,
-0.03746712952852249,
0.07298580557107925,
-0.01798994094133377,
-0.011594820767641068,
0.048516713082790375,
0.01146719977259636,
-0.03355785459280014,
-0.07555118203163147,
-0.06092453747987747,
0.015908418223261833,
-0.014317460358142853,
0.10431788861751556,
0.0186610147356987,
0.032417550683021545,
0.030875014141201973,
0.06107272207736969,
0.024630466476082802,
-0.05181783065199852,
0.0003170357085764408,
0.09071508795022964,
0.026339100673794746,
-0.000049167167162522674,
0.015096431598067284,
0.0005386871052905917,
-0.056022901087999344,
-0.006718441378325224,
0.06290500611066818,
0.1391812115907669,
0.0440363883972168,
-0.004375845659524202,
-0.10929994285106659,
0.010269762016832829,
0.01114218682050705,
0.018343886360526085,
0.0608866885304451,
0.023332640528678894,
0.023981580510735512,
0.04509877413511276,
-0.0025964269880205393,
-0.07228326797485352,
0.000972353620454669,
-0.01859130896627903,
-0.016633914783596992,
0.011774792335927486,
0.08234600722789764,
-0.0009757712250575423,
0.05687814578413963,
-0.03574340417981148,
-0.08985961973667145,
0.10056281834840775,
-0.035677701234817505,
-0.004208893049508333,
-0.04977404326200485,
0.03828510642051697,
-0.04274461418390274,
0.04991906136274338,
-0.012504477053880692,
-0.03881540149450302,
-0.04185006022453308,
-0.02497796341776848,
0.05261475592851639,
0.045484572649002075,
0.08664926886558533,
-0.0027840978000313044
] |
Experience Implementing a Performant Category-Theory Library in Coq
|
https://arxiv.org/abs/1401.7694v2
|
https://arxiv.org/pdf/1401.7694v2.pdf
|
https://github.com/agda/agda-categories
| false | false |
https://paperswithcode.com/paper/experience-implementing-a-performant-category
|
[
-0.03571790084242821,
0.07934624701738358,
-0.024352479726076126,
-0.02247464470565319,
-0.027559859678149223,
0.00711406534537673,
-0.027196811512112617,
0.010823525488376617,
-0.01005553174763918,
0.020385226234793663,
-0.07183665037155151,
-0.06400664895772934,
-0.05616874247789383,
0.04404083266854286,
0.08225719630718231,
0.011283979751169682,
0.026057999581098557,
0.019452014937996864,
-0.012406028807163239,
-0.10183451324701309,
-0.028393303975462914,
-0.06224307790398598,
0.007696755696088076,
0.011378074064850807,
-0.03453705087304115,
-0.03390553966164589,
-0.06788107752799988,
-0.04067705199122429,
0.05733263120055199,
-0.03765108436346054,
-0.06063765659928322,
0.06736286729574203,
-0.09540565311908722,
0.08285049349069595,
-0.005039298441261053,
0.05488209053874016,
0.04924852028489113,
-0.09660575538873672,
0.039812903851270676,
0.015719715505838394,
-0.011643555015325546,
0.05568637326359749,
0.010685687884688377,
-0.035195786505937576,
0.04571635276079178,
0.03332678973674774,
-0.0336042158305645,
0.003917773254215717,
-0.10458819568157196,
-0.07885164022445679,
0.0007995763444341719,
-0.009623786434531212,
-0.09606973826885223,
-0.0060568684712052345,
-0.014326411299407482,
0.042476166039705276,
0.0041185165755450726,
-0.04411006718873978,
-0.010712457820773125,
-0.06396738439798355,
-0.027590908110141754,
0.035308897495269775,
0.02769332379102707,
0.06497708708047867,
-0.0003104491624981165,
-0.007108243647962809,
0.027472592890262604,
0.07455752789974213,
0.04076177626848221,
0.09089379757642746,
-0.016431476920843124,
0.0028520182240754366,
-0.13130629062652588,
-0.0020600617863237858,
0.02491902746260166,
-0.006649593356996775,
0.046229541301727295,
-0.016650324687361717,
0.023137206211686134,
-0.005094645544886589,
-0.03603682667016983,
0.027706537395715714,
-0.007554763928055763,
0.021858200430870056,
0.05594392493367195,
0.006498273927718401,
-0.04496544972062111,
-0.016608748584985733,
-0.07389456778764725,
-0.011432240717113018,
0.04660550877451897,
-0.07004497945308685,
0.1336013525724411,
0.06289128959178925,
0.035177815705537796,
-0.015910184010863304,
0.030130797997117043,
0.016379060223698616,
0.0328492633998394,
0.043018270283937454,
-0.00505494698882103,
0.05931676924228668,
0.0326409712433815,
-0.06899545341730118,
0.06533113121986389,
-0.03634309768676758,
0.08486267179250717,
0.030216090381145477,
0.0844452977180481,
-0.04079534485936165,
-0.003159073879942298,
-0.06802117824554443,
-0.007701280992478132,
-0.07483787834644318,
-0.0768159031867981,
0.05213644355535507,
0.03396771103143692,
0.08445106446743011,
0.1018620952963829,
-0.03195006027817726,
0.07122745364904404,
0.0012475397670641541,
-0.015732815489172935,
0.018333008512854576,
0.08620190620422363,
-0.039123956114053726,
-0.10593448579311371,
1.937111283386456e-33,
0.06052233651280403,
0.0004984126426279545,
0.08183735609054565,
0.016440680250525475,
0.015543620102107525,
-0.002317214384675026,
0.040124718099832535,
-0.00820923876017332,
0.0007347161881625652,
0.04766032099723816,
0.009406786412000656,
0.10398824512958527,
-0.08347276598215103,
0.031503282487392426,
-0.00020808452973142266,
0.0015910378424450755,
-0.037218738347291946,
-0.033699702471494675,
-0.09623412787914276,
0.021803129464387894,
0.046526651829481125,
0.05048109218478203,
-0.07775244116783142,
0.05575147271156311,
-0.01809043064713478,
0.03174753487110138,
-0.010803124867379665,
-0.047082167118787766,
0.0007401046459563076,
0.03361305221915245,
-0.08482116460800171,
0.01530048530548811,
-0.02532641403377056,
0.0956428274512291,
-0.017018914222717285,
-0.017551586031913757,
-0.005967003758996725,
-0.09969951212406158,
-0.0048792725428938866,
-0.014541837386786938,
0.00568316550925374,
0.002671866212040186,
-0.03217363730072975,
-0.05215524137020111,
0.04143643006682396,
-0.013476526364684105,
-0.016348041594028473,
0.03942735865712166,
-0.01890791393816471,
-0.05844671651721001,
-0.017279326915740967,
0.058165304362773895,
-0.030287185683846474,
0.02461836114525795,
0.022918516770005226,
0.021746443584561348,
-0.011105525307357311,
0.006024826318025589,
0.04469822347164154,
0.11468252539634705,
-0.024745268747210503,
0.050973691046237946,
0.039784520864486694,
0.004962578881531954,
-0.12276822328567505,
-0.012545040808618069,
-0.06257887929677963,
-0.01701153628528118,
0.07750792801380157,
0.10631386935710907,
-0.030941123142838478,
0.006058289669454098,
-0.07660111039876938,
-0.01637227088212967,
0.10445867478847504,
-0.05234138295054436,
-0.009870203211903572,
-0.11816107481718063,
-0.019587785005569458,
0.04308034107089043,
0.043595291674137115,
-0.0002085676824208349,
0.07921548932790756,
-0.025778071954846382,
0.033322036266326904,
-0.1106121763586998,
0.01930982433259487,
0.0037792189978063107,
0.032504189759492874,
-0.02121099829673767,
-0.094304658472538,
0.055375538766384125,
0.06834395974874496,
-0.04530017822980881,
0.007971501909196377,
-4.379409998480006e-33,
-0.07614627480506897,
-0.028880681842565536,
-0.07796471565961838,
-0.0026895632036030293,
-0.13009342551231384,
-0.022839996963739395,
-0.03804934769868851,
-0.10563455522060394,
-0.005481544882059097,
-0.01700112782418728,
-0.027610763907432556,
-0.008760636672377586,
0.024981819093227386,
-0.020244790241122246,
0.03549370542168617,
-0.07156398147344589,
-0.08314656466245651,
-0.027654463425278664,
0.01920630782842636,
0.09984859079122543,
0.06965304166078568,
0.048324789851903915,
-0.088503398001194,
0.04332171007990837,
0.07841060310602188,
0.005747659131884575,
-0.025980893522500992,
-0.009606043808162212,
0.03937807306647301,
0.005398742854595184,
-0.08648793399333954,
-0.09855638444423676,
-0.048950985074043274,
-0.06674347817897797,
-0.023146502673625946,
-0.06711991876363754,
0.0739889144897461,
0.05028843134641647,
-0.047615066170692444,
-0.029514741152524948,
-0.002193481894209981,
-0.0947849228978157,
-0.024099210277199745,
0.020572731271386147,
0.02771882712841034,
-0.033325325697660446,
-0.00790981575846672,
0.033058539032936096,
0.0270527396351099,
0.03132861480116844,
-0.014611379243433475,
-0.05564095452427864,
0.024058356881141663,
-0.048375654965639114,
0.020490707829594612,
-0.010717145167291164,
-0.002238087123259902,
-0.06813657283782959,
-0.024371875450015068,
0.07502268254756927,
-0.01011085044592619,
0.007371200248599052,
0.016049988567829132,
0.04580311477184296,
0.0026894928887486458,
-0.0862429141998291,
-0.027434473857283592,
-0.08961861580610275,
0.016248473897576332,
-0.048658065497875214,
-0.039083294570446014,
0.03125281631946564,
-0.085903100669384,
0.009353473782539368,
-0.006023194640874863,
0.003943262156099081,
-0.00241377716884017,
-0.021652404218912125,
0.01920105703175068,
0.011907186359167099,
0.003687314223498106,
-0.0725942924618721,
0.1333802044391632,
0.055878810584545135,
0.03894781321287155,
-0.042096104472875595,
0.032829880714416504,
0.054331179708242416,
-0.03568091243505478,
0.1035856157541275,
-0.049647510051727295,
0.0003649300488177687,
-0.007967342622578144,
0.06972324848175049,
-0.07660314440727234,
-3.8930028978256814e-8,
-0.03746712952852249,
0.07298580557107925,
-0.01798994094133377,
-0.011594820767641068,
0.048516713082790375,
0.01146719977259636,
-0.03355785459280014,
-0.07555118203163147,
-0.06092453747987747,
0.015908418223261833,
-0.014317460358142853,
0.10431788861751556,
0.0186610147356987,
0.032417550683021545,
0.030875014141201973,
0.06107272207736969,
0.024630466476082802,
-0.05181783065199852,
0.0003170357085764408,
0.09071508795022964,
0.026339100673794746,
-0.000049167167162522674,
0.015096431598067284,
0.0005386871052905917,
-0.056022901087999344,
-0.006718441378325224,
0.06290500611066818,
0.1391812115907669,
0.0440363883972168,
-0.004375845659524202,
-0.10929994285106659,
0.010269762016832829,
0.01114218682050705,
0.018343886360526085,
0.0608866885304451,
0.023332640528678894,
0.023981580510735512,
0.04509877413511276,
-0.0025964269880205393,
-0.07228326797485352,
0.000972353620454669,
-0.01859130896627903,
-0.016633914783596992,
0.011774792335927486,
0.08234600722789764,
-0.0009757712250575423,
0.05687814578413963,
-0.03574340417981148,
-0.08985961973667145,
0.10056281834840775,
-0.035677701234817505,
-0.004208893049508333,
-0.04977404326200485,
0.03828510642051697,
-0.04274461418390274,
0.04991906136274338,
-0.012504477053880692,
-0.03881540149450302,
-0.04185006022453308,
-0.02497796341776848,
0.05261475592851639,
0.045484572649002075,
0.08664926886558533,
-0.0027840978000313044
] |
1401.7698
|
Philip Morrison
|
Z. Yoshida and P. J. Morrison
|
A hierarchy of noncanonical Hamiltonian systems: circulation laws in an
extended phase space
| null |
Fluid Dyn. Res. 46 (2014) 031412
|
10.1088/0169-5983/46/3/031412
| null |
math-ph math.DG math.DS math.MP physics.flu-dyn physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dynamics of an ideal fluid or plasma is constrained by topological
invariants such as the circulation of (canonical) momentum or, equivalently,
the flux of the vorticity or magnetic fields. In the Hamiltonian formalism,
topological invariants restrict the orbits to submanifolds of the phase space.
While the coadjoint orbits have a natural symplectic structure, the global
geometry of the degenerate (constrained) Poisson manifold can be very complex.
Some invariants are represented by the center of the Poisson algebra (i.e., the
Casimir elements such as the helicities), and then, the global structure of
phase space is delineated by Casimir leaves. However, a general constraint is
not necessarily integrable, which precludes the existence of an appropriate
Casimir element; the circulation is an example of such an invariant. In this
work, we formulate a systematic method to embed a Hamiltonian system in an
extended phase space; we introduce mock fields and extend the Poisson algebra
so that the mock fields are Lie-dragged by the flow vector. A mock field
defines a new Casimir element, a cross helicity, which represents topological
constraints including the circulation. Unearthing a Casimir element brings
about immense advantage in the study of dynamics and equilibria -- the
so-called energy-Casimir method becomes ready available. Yet, a mock field does
not a priori have a physical meaning. Here we proffer an interpretation of a
Casimir element obtained, e.g., by such a construction as an adiabatic
invariant associated with a hidden "microscopic" angle variable, and in this
way give the mock field a physical meaning. We proceed further and consider a
perturbation of the Hamiltonian by a canonical pair, composed of the Casimir
element and the angle, that causes the topological constraint to be unfrozen.
The theory is applied to the tearing modes of MHD.
|
[
{
"created": "Wed, 29 Jan 2014 23:12:43 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Yoshida",
"Z.",
""
],
[
"Morrison",
"P. J.",
""
]
] |
[
-0.0756797268986702,
0.012934464029967785,
0.011677702888846397,
-0.05214081332087517,
-0.03078520856797695,
0.03778925910592079,
-0.021290164440870285,
-0.032814282923936844,
-0.0027361861430108547,
-0.11980124562978745,
0.01972620189189911,
-0.024585528299212456,
-0.05507851764559746,
-0.04566895216703415,
0.09519939869642258,
-0.10046752542257309,
-0.032173041254282,
0.04345966503024101,
-0.042211078107357025,
0.025935227051377296,
0.02547910436987877,
-0.04471152648329735,
-0.06273352354764938,
-0.009787623770534992,
-0.04192177578806877,
0.049220193177461624,
0.01632707007229328,
0.02514868974685669,
0.030594194307923317,
-0.0173934418708086,
0.05343186482787132,
0.01762586459517479,
-0.09951885044574738,
-0.05745310336351395,
0.03516729921102524,
0.005907610524445772,
0.00219100178219378,
0.054375503212213516,
-0.08568406850099564,
0.01657785288989544,
0.022484930232167244,
0.01161668635904789,
-0.049781106412410736,
0.0063259112648665905,
0.003623387310653925,
-0.018768610432744026,
0.0762183666229248,
0.011484500952064991,
-0.08190401643514633,
-0.006156621500849724,
-0.012955564074218273,
0.05814944580197334,
0.02338189259171486,
0.00010743099119281396,
-0.07013612985610962,
-0.013038680888712406,
0.011911713518202305,
-0.04582428187131882,
0.067664735019207,
-0.11019860953092575,
0.021434739232063293,
-0.027803776785731316,
-0.03275249898433685,
0.04358231648802757,
-0.018659381195902824,
-0.03748409077525139,
-0.0033950249198824167,
0.04430626705288887,
-0.01717662811279297,
-0.043528612703084946,
-0.0025240767281502485,
-0.00031267511076293886,
-0.027808930724859238,
-0.022884972393512726,
0.08287558704614639,
0.040120262652635574,
-0.03260978311300278,
-0.03230353817343712,
0.06494856625795364,
0.048164088279008865,
0.0283090490847826,
0.04743143171072006,
-0.04008499160408974,
0.07681915909051895,
0.016798462718725204,
-0.025138387456536293,
-0.07149744033813477,
-0.0375489816069603,
0.011797657236456871,
-0.04706992208957672,
-0.0030178341548889875,
-0.06141993775963783,
-0.028355630114674568,
-0.027613982558250427,
0.09371410310268402,
0.0869734138250351,
0.0002773815649561584,
0.054545674473047256,
0.08343517780303955,
0.0426904559135437,
0.035957999527454376,
-0.07875806838274002,
0.015485049225389957,
0.14162558317184448,
0.09384088218212128,
-0.02039685845375061,
0.04961249604821205,
0.03612019866704941,
-0.04729609563946724,
-0.04577969014644623,
0.00954702403396368,
-0.006067171692848206,
0.06322924792766571,
-0.15924955904483795,
0.0670589953660965,
0.018405115231871605,
0.007662353105843067,
0.09653856605291367,
0.08360208570957184,
0.029584243893623352,
0.07389334589242935,
0.01947244442999363,
0.010453836992383003,
0.02501300722360611,
0.12298641353845596,
-0.006503111682832241,
-0.007783807814121246,
1.1304420088016182e-35,
0.02111683413386345,
-0.00020939069509040564,
0.07975318282842636,
0.07955925911664963,
0.07893617451190948,
-0.02499496191740036,
-0.01837759092450142,
0.09879305958747864,
0.07164324820041656,
-0.004765946883708239,
-0.00003325585203128867,
0.052050136029720306,
-0.0061282021924853325,
-0.00045312708243727684,
-0.05191447585821152,
-0.029194999486207962,
0.024957146495580673,
0.002578277373686433,
0.03091503120958805,
-0.015717104077339172,
0.09240260720252991,
0.017893321812152863,
-0.01597120426595211,
0.025307923555374146,
-0.04206816107034683,
0.04499435797333717,
0.015021489933133125,
0.010246001183986664,
-0.06896381825208664,
0.02729739435017109,
0.0011182151501998305,
-0.07655996084213257,
0.019483163952827454,
0.056988589465618134,
0.0084101976826787,
0.04161915183067322,
-0.09686111658811569,
0.006714305840432644,
-0.052277084439992905,
-0.032102715224027634,
0.01298601645976305,
-0.025245534256100655,
-0.04373697191476822,
-0.006326560862362385,
-0.023759696632623672,
-0.0048718140460550785,
0.11537887156009674,
0.07790269702672958,
-0.05196842551231384,
-0.049469541758298874,
0.06254611164331436,
0.06437837332487106,
-0.016935214400291443,
-0.01780286245048046,
0.03100663796067238,
0.09138023108243942,
-0.012485156767070293,
0.028722887858748436,
-0.033511336892843246,
-0.008840630762279034,
0.03665543720126152,
0.07121139019727707,
0.0033196434378623962,
0.0029518206138163805,
-0.018377676606178284,
-0.024460444226861,
0.007214652840048075,
-0.00169314572121948,
0.08170188963413239,
-0.022383153438568115,
-0.11278104037046432,
0.04565221443772316,
-0.0578172542154789,
0.05971181392669678,
0.0732308030128479,
-0.002876376500353217,
0.0631149560213089,
-0.008835011161863804,
-0.05756164714694023,
-0.014000412076711655,
-0.0910036563873291,
-0.08101816475391388,
-0.04303862154483795,
0.12329312413930893,
-0.019773682579398155,
-0.10342065989971161,
-0.013908675871789455,
-0.004042353946715593,
-0.005940252915024757,
-0.17399314045906067,
-0.02788630872964859,
-0.027393635362386703,
0.03851068764925003,
-0.02612042985856533,
-0.02498200722038746,
-2.0888626449608207e-33,
0.003958000335842371,
-0.09718988090753555,
-0.03387577086687088,
0.002677176147699356,
-0.02140779048204422,
-0.0020467585418373346,
-0.01199806947261095,
0.08106448501348495,
-0.04103652760386467,
-0.02149677462875843,
-0.05162685737013817,
0.057021867483854294,
0.021420756354928017,
-0.02846343256533146,
-0.061119627207517624,
0.05040624737739563,
-0.010125556029379368,
-0.03045688010752201,
0.0033516252879053354,
0.002619578503072262,
-0.049583688378334045,
0.027969185262918472,
0.05407700687646866,
-0.0513639934360981,
-0.0302280280739069,
0.008587400428950787,
-0.01813516579568386,
-0.034107793122529984,
0.03381069749593735,
0.1332930326461792,
0.036175064742565155,
-0.014268213883042336,
-0.028842607513070107,
0.011482318863272667,
-0.05117923021316528,
0.024042097851634026,
0.04027985408902168,
0.023132041096687317,
-0.033549871295690536,
0.004506147466599941,
-0.08767356723546982,
-0.08189372718334198,
0.04409930109977722,
0.08110075443983078,
0.05732947587966919,
0.09165791422128677,
0.04621526226401329,
0.012220129370689392,
-0.06232025474309921,
0.05204368382692337,
-0.05119442194700241,
-0.020913511514663696,
-0.019171973690390587,
0.017027538269758224,
-0.015696894377470016,
0.02801855280995369,
-0.009225072339177132,
-0.09667516499757767,
0.051212191581726074,
-0.004857181571424007,
-0.037597667425870895,
-0.05661626532673836,
-0.044900018721818924,
0.06636377424001694,
0.040914081037044525,
-0.03252840414643288,
-0.015489641577005386,
-0.012945433147251606,
-0.01170065626502037,
-0.007577783428132534,
0.024726951494812965,
-0.007980779744684696,
-0.04775282368063927,
-0.016263635829091072,
0.08425183594226837,
0.04061742126941681,
0.13822251558303833,
-0.01114242896437645,
0.06545142829418182,
-0.07347004860639572,
-0.07642479985952377,
-0.07513140887022018,
-0.04174719378352165,
-0.029523704200983047,
0.023421814665198326,
-0.05917700007557869,
-0.032602954655885696,
-0.005496235564351082,
-0.004999158903956413,
0.03482802212238312,
-0.005095607601106167,
0.015518764033913612,
0.015763621777296066,
0.027793239802122116,
-0.023283636197447777,
-4.635848682710275e-8,
0.07831573486328125,
-0.012769360095262527,
0.002056579338386655,
-0.047130703926086426,
-0.008797671645879745,
-0.01976289227604866,
-0.04568805918097496,
-0.026286009699106216,
0.03463472053408623,
0.050809137523174286,
0.07906968146562576,
0.015019807033240795,
0.001095849322155118,
-0.09041664004325867,
-0.021260729059576988,
0.07670485973358154,
0.008245646953582764,
-0.009113539010286331,
-0.05953124165534973,
0.029155539348721504,
0.026197083294391632,
0.05259769409894943,
-0.052292343229055405,
-0.05038644000887871,
0.03185810521245003,
-0.04076496884226799,
0.045331697911024094,
-0.07780461013317108,
0.03537996485829353,
-0.0031320450361818075,
-0.04860047250986099,
0.02816595509648323,
0.045206256210803986,
0.003090192098170519,
-0.11078990250825882,
-0.01646326668560505,
-0.04368933290243149,
-0.0175459124147892,
-0.028666134923696518,
-0.013284589163959026,
0.012350467965006828,
0.042163535952568054,
-0.010175183415412903,
-0.06328535825014114,
0.08388839662075043,
0.10506231337785721,
-0.036556314677000046,
0.08047746121883392,
0.021233385428786278,
0.09373337775468826,
-0.1384371966123581,
0.03553303703665733,
0.046640973538160324,
-0.018929606303572655,
-0.08109758049249649,
0.03947170078754425,
-0.04217391088604927,
-0.02591179497539997,
0.03322862461209297,
-0.05972063168883324,
-0.0820230171084404,
0.0797140821814537,
-0.0024108602665364742,
-0.08243964612483978
] | null | null | null | null | null | null | null |
[
-0.0756797268986702,
0.012934464029967785,
0.011677702888846397,
-0.05214081332087517,
-0.03078520856797695,
0.03778925910592079,
-0.021290164440870285,
-0.032814282923936844,
-0.0027361861430108547,
-0.11980124562978745,
0.01972620189189911,
-0.024585528299212456,
-0.05507851764559746,
-0.04566895216703415,
0.09519939869642258,
-0.10046752542257309,
-0.032173041254282,
0.04345966503024101,
-0.042211078107357025,
0.025935227051377296,
0.02547910436987877,
-0.04471152648329735,
-0.06273352354764938,
-0.009787623770534992,
-0.04192177578806877,
0.049220193177461624,
0.01632707007229328,
0.02514868974685669,
0.030594194307923317,
-0.0173934418708086,
0.05343186482787132,
0.01762586459517479,
-0.09951885044574738,
-0.05745310336351395,
0.03516729921102524,
0.005907610524445772,
0.00219100178219378,
0.054375503212213516,
-0.08568406850099564,
0.01657785288989544,
0.022484930232167244,
0.01161668635904789,
-0.049781106412410736,
0.0063259112648665905,
0.003623387310653925,
-0.018768610432744026,
0.0762183666229248,
0.011484500952064991,
-0.08190401643514633,
-0.006156621500849724,
-0.012955564074218273,
0.05814944580197334,
0.02338189259171486,
0.00010743099119281396,
-0.07013612985610962,
-0.013038680888712406,
0.011911713518202305,
-0.04582428187131882,
0.067664735019207,
-0.11019860953092575,
0.021434739232063293,
-0.027803776785731316,
-0.03275249898433685,
0.04358231648802757,
-0.018659381195902824,
-0.03748409077525139,
-0.0033950249198824167,
0.04430626705288887,
-0.01717662811279297,
-0.043528612703084946,
-0.0025240767281502485,
-0.00031267511076293886,
-0.027808930724859238,
-0.022884972393512726,
0.08287558704614639,
0.040120262652635574,
-0.03260978311300278,
-0.03230353817343712,
0.06494856625795364,
0.048164088279008865,
0.0283090490847826,
0.04743143171072006,
-0.04008499160408974,
0.07681915909051895,
0.016798462718725204,
-0.025138387456536293,
-0.07149744033813477,
-0.0375489816069603,
0.011797657236456871,
-0.04706992208957672,
-0.0030178341548889875,
-0.06141993775963783,
-0.028355630114674568,
-0.027613982558250427,
0.09371410310268402,
0.0869734138250351,
0.0002773815649561584,
0.054545674473047256,
0.08343517780303955,
0.0426904559135437,
0.035957999527454376,
-0.07875806838274002,
0.015485049225389957,
0.14162558317184448,
0.09384088218212128,
-0.02039685845375061,
0.04961249604821205,
0.03612019866704941,
-0.04729609563946724,
-0.04577969014644623,
0.00954702403396368,
-0.006067171692848206,
0.06322924792766571,
-0.15924955904483795,
0.0670589953660965,
0.018405115231871605,
0.007662353105843067,
0.09653856605291367,
0.08360208570957184,
0.029584243893623352,
0.07389334589242935,
0.01947244442999363,
0.010453836992383003,
0.02501300722360611,
0.12298641353845596,
-0.006503111682832241,
-0.007783807814121246,
1.1304420088016182e-35,
0.02111683413386345,
-0.00020939069509040564,
0.07975318282842636,
0.07955925911664963,
0.07893617451190948,
-0.02499496191740036,
-0.01837759092450142,
0.09879305958747864,
0.07164324820041656,
-0.004765946883708239,
-0.00003325585203128867,
0.052050136029720306,
-0.0061282021924853325,
-0.00045312708243727684,
-0.05191447585821152,
-0.029194999486207962,
0.024957146495580673,
0.002578277373686433,
0.03091503120958805,
-0.015717104077339172,
0.09240260720252991,
0.017893321812152863,
-0.01597120426595211,
0.025307923555374146,
-0.04206816107034683,
0.04499435797333717,
0.015021489933133125,
0.010246001183986664,
-0.06896381825208664,
0.02729739435017109,
0.0011182151501998305,
-0.07655996084213257,
0.019483163952827454,
0.056988589465618134,
0.0084101976826787,
0.04161915183067322,
-0.09686111658811569,
0.006714305840432644,
-0.052277084439992905,
-0.032102715224027634,
0.01298601645976305,
-0.025245534256100655,
-0.04373697191476822,
-0.006326560862362385,
-0.023759696632623672,
-0.0048718140460550785,
0.11537887156009674,
0.07790269702672958,
-0.05196842551231384,
-0.049469541758298874,
0.06254611164331436,
0.06437837332487106,
-0.016935214400291443,
-0.01780286245048046,
0.03100663796067238,
0.09138023108243942,
-0.012485156767070293,
0.028722887858748436,
-0.033511336892843246,
-0.008840630762279034,
0.03665543720126152,
0.07121139019727707,
0.0033196434378623962,
0.0029518206138163805,
-0.018377676606178284,
-0.024460444226861,
0.007214652840048075,
-0.00169314572121948,
0.08170188963413239,
-0.022383153438568115,
-0.11278104037046432,
0.04565221443772316,
-0.0578172542154789,
0.05971181392669678,
0.0732308030128479,
-0.002876376500353217,
0.0631149560213089,
-0.008835011161863804,
-0.05756164714694023,
-0.014000412076711655,
-0.0910036563873291,
-0.08101816475391388,
-0.04303862154483795,
0.12329312413930893,
-0.019773682579398155,
-0.10342065989971161,
-0.013908675871789455,
-0.004042353946715593,
-0.005940252915024757,
-0.17399314045906067,
-0.02788630872964859,
-0.027393635362386703,
0.03851068764925003,
-0.02612042985856533,
-0.02498200722038746,
-2.0888626449608207e-33,
0.003958000335842371,
-0.09718988090753555,
-0.03387577086687088,
0.002677176147699356,
-0.02140779048204422,
-0.0020467585418373346,
-0.01199806947261095,
0.08106448501348495,
-0.04103652760386467,
-0.02149677462875843,
-0.05162685737013817,
0.057021867483854294,
0.021420756354928017,
-0.02846343256533146,
-0.061119627207517624,
0.05040624737739563,
-0.010125556029379368,
-0.03045688010752201,
0.0033516252879053354,
0.002619578503072262,
-0.049583688378334045,
0.027969185262918472,
0.05407700687646866,
-0.0513639934360981,
-0.0302280280739069,
0.008587400428950787,
-0.01813516579568386,
-0.034107793122529984,
0.03381069749593735,
0.1332930326461792,
0.036175064742565155,
-0.014268213883042336,
-0.028842607513070107,
0.011482318863272667,
-0.05117923021316528,
0.024042097851634026,
0.04027985408902168,
0.023132041096687317,
-0.033549871295690536,
0.004506147466599941,
-0.08767356723546982,
-0.08189372718334198,
0.04409930109977722,
0.08110075443983078,
0.05732947587966919,
0.09165791422128677,
0.04621526226401329,
0.012220129370689392,
-0.06232025474309921,
0.05204368382692337,
-0.05119442194700241,
-0.020913511514663696,
-0.019171973690390587,
0.017027538269758224,
-0.015696894377470016,
0.02801855280995369,
-0.009225072339177132,
-0.09667516499757767,
0.051212191581726074,
-0.004857181571424007,
-0.037597667425870895,
-0.05661626532673836,
-0.044900018721818924,
0.06636377424001694,
0.040914081037044525,
-0.03252840414643288,
-0.015489641577005386,
-0.012945433147251606,
-0.01170065626502037,
-0.007577783428132534,
0.024726951494812965,
-0.007980779744684696,
-0.04775282368063927,
-0.016263635829091072,
0.08425183594226837,
0.04061742126941681,
0.13822251558303833,
-0.01114242896437645,
0.06545142829418182,
-0.07347004860639572,
-0.07642479985952377,
-0.07513140887022018,
-0.04174719378352165,
-0.029523704200983047,
0.023421814665198326,
-0.05917700007557869,
-0.032602954655885696,
-0.005496235564351082,
-0.004999158903956413,
0.03482802212238312,
-0.005095607601106167,
0.015518764033913612,
0.015763621777296066,
0.027793239802122116,
-0.023283636197447777,
-4.635848682710275e-8,
0.07831573486328125,
-0.012769360095262527,
0.002056579338386655,
-0.047130703926086426,
-0.008797671645879745,
-0.01976289227604866,
-0.04568805918097496,
-0.026286009699106216,
0.03463472053408623,
0.050809137523174286,
0.07906968146562576,
0.015019807033240795,
0.001095849322155118,
-0.09041664004325867,
-0.021260729059576988,
0.07670485973358154,
0.008245646953582764,
-0.009113539010286331,
-0.05953124165534973,
0.029155539348721504,
0.026197083294391632,
0.05259769409894943,
-0.052292343229055405,
-0.05038644000887871,
0.03185810521245003,
-0.04076496884226799,
0.045331697911024094,
-0.07780461013317108,
0.03537996485829353,
-0.0031320450361818075,
-0.04860047250986099,
0.02816595509648323,
0.045206256210803986,
0.003090192098170519,
-0.11078990250825882,
-0.01646326668560505,
-0.04368933290243149,
-0.0175459124147892,
-0.028666134923696518,
-0.013284589163959026,
0.012350467965006828,
0.042163535952568054,
-0.010175183415412903,
-0.06328535825014114,
0.08388839662075043,
0.10506231337785721,
-0.036556314677000046,
0.08047746121883392,
0.021233385428786278,
0.09373337775468826,
-0.1384371966123581,
0.03553303703665733,
0.046640973538160324,
-0.018929606303572655,
-0.08109758049249649,
0.03947170078754425,
-0.04217391088604927,
-0.02591179497539997,
0.03322862461209297,
-0.05972063168883324,
-0.0820230171084404,
0.0797140821814537,
-0.0024108602665364742,
-0.08243964612483978
] |
1401.7699
|
Albert Roura
|
Albert Roura, Wolfgang Zeller and Wolfgang P. Schleich
|
Overcoming loss of contrast in atom interferometry due to gravity
gradients
|
14+7 pages including appendices, 9 figures; v2 minor changes, matches
published version
|
New J. Phys. 16, 123012 (2014)
|
10.1088/1367-2630/16/12/123012
| null |
physics.atom-ph gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Long-time atom interferometry is instrumental to various high-precision
measurements of fundamental physical properties, including tests of the
equivalence principle. Due to rotations and gravity gradients, the classical
trajectories characterizing the motion of the wave packets for the two branches
of the interferometer do not close in phase space, an effect which increases
significantly with the interferometer time. The relative displacement between
the interfering wave packets in such open interferometers leads to a fringe
pattern in the density profile at each exit port and a loss of contrast in the
oscillations of the integrated particle number as a function of the phase
shift. Paying particular attention to gravity gradients, we present a simple
mitigation strategy involving small changes in the timing of the laser pulses
which is very easy to implement. A useful representation-free description of
the state evolution in an atom interferometer is introduced and employed to
analyze the loss of contrast and mitigation strategy in the general case. (As a
by-product, a remarkably compact derivation of the phase-shift in a general
light-pulse atom interferometer is provided.) Furthermore, exact results are
obtained for (pure and mixed) Gaussian states which allow a simple
interpretation in terms of the alignment of Wigner functions in phase-space.
Analytical results are also obtained for expanding Bose-Einstein condensates
within the time-dependent Thomas-Fermi approximation. Finally, a combined
strategy for rotations and nonaligned gravity gradients is considered as well.
|
[
{
"created": "Wed, 29 Jan 2014 23:18:01 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2015 13:47:13 GMT",
"version": "v2"
}
] |
2015-07-13
|
[
[
"Roura",
"Albert",
""
],
[
"Zeller",
"Wolfgang",
""
],
[
"Schleich",
"Wolfgang P.",
""
]
] |
[
-0.03399668633937836,
-0.044744823127985,
0.031031886115670204,
0.042657848447561264,
0.013207115232944489,
0.00616364786401391,
-0.02287602797150612,
-0.047729238867759705,
-0.03823753818869591,
-0.08283278346061707,
0.05188325420022011,
-0.026517324149608612,
-0.005333497188985348,
-0.048228103667497635,
0.03158952295780182,
-0.049661584198474884,
0.020136414095759392,
0.05082005634903908,
-0.027743929997086525,
0.002630318980664015,
0.034305110573768616,
-0.03109690733253956,
-0.060970161110162735,
0.044476401060819626,
0.00032167474273592234,
0.037214502692222595,
0.08289686590433121,
-0.047377169132232666,
0.02891291305422783,
0.004531972110271454,
0.05195704475045204,
0.028695877641439438,
-0.09383390843868256,
0.018109485507011414,
0.013248619623482227,
-0.0725736916065216,
0.09219743311405182,
0.005308826453983784,
0.07605499029159546,
-0.1095447763800621,
0.09603623300790787,
0.027163244783878326,
0.004132063593715429,
0.07935020327568054,
0.035708483308553696,
0.05991119146347046,
0.08735162764787674,
-0.06148340553045273,
-0.046600647270679474,
-0.025806104764342308,
0.02976267971098423,
0.06820736825466156,
-0.04007171466946602,
-0.0022221265826374292,
-0.005491455551236868,
0.06054562330245972,
0.03835668787360191,
0.03948371112346649,
0.020390719175338745,
-0.03206436708569527,
-0.05467535927891731,
-0.024288373067975044,
-0.007105578202754259,
0.0024119114968925714,
0.004946249537169933,
0.02144109271466732,
0.07943321764469147,
0.0024765196722000837,
0.04606837034225464,
0.06846214830875397,
-0.024595750495791435,
0.062405187636613846,
0.033418793231248856,
0.026566114276647568,
-0.013990277424454689,
-0.05112127587199211,
0.03228521719574928,
0.055315230041742325,
0.019093329086899757,
0.007972093299031258,
0.006953859236091375,
-0.04109859839081764,
0.03639659658074379,
0.021668359637260437,
-0.06293563544750214,
-0.021435203030705452,
0.00019096140749752522,
0.02249055914580822,
0.039872463792562485,
-0.07146433740854263,
-0.0032889568246901035,
-0.02307928539812565,
-0.0494099035859108,
-0.07783477008342743,
0.09367605298757553,
0.0024204987566918135,
0.0506051629781723,
-0.07273338735103607,
0.04298050329089165,
0.07958908379077911,
0.0949556827545166,
0.012130050919950008,
-0.040021345019340515,
0.06104036420583725,
-0.06223291903734207,
0.014957460574805737,
0.03880820795893669,
0.036523398011922836,
-0.08373436331748962,
0.1258103996515274,
0.04893821105360985,
0.021021950989961624,
0.044689033180475235,
-0.012510472908616066,
0.027800263836979866,
0.04788646101951599,
0.0109925027936697,
0.05819213390350342,
0.02547423355281353,
-0.004813332110643387,
-0.08998186141252518,
-0.0029226106125861406,
-0.01708633080124855,
0.08151295781135559,
0.046710748225450516,
0.0872933641076088,
0.005104523152112961,
3.1808073572659718e-34,
0.031072884798049927,
-0.001092942082323134,
-0.018788764253258705,
-0.000010477231626282446,
-0.01875181309878826,
0.029031289741396904,
0.007181601133197546,
0.034590788185596466,
-0.12000729143619537,
0.030581116676330566,
-0.0017858922947198153,
0.013388286344707012,
-0.03312256187200546,
-0.04848550260066986,
-0.008240890689194202,
0.054879385977983475,
-0.014223640784621239,
0.0704660713672638,
0.05168606713414192,
0.06615998595952988,
-0.012826633639633656,
-0.051554176956415176,
-0.06549280881881714,
0.01994798146188259,
-0.06840101629495621,
0.10558053106069565,
0.01764398068189621,
-0.0524880513548851,
0.014698347076773643,
-0.015775995329022408,
0.019342277199029922,
0.09397639334201813,
-0.09980388730764389,
0.009867611341178417,
0.08968258649110794,
-0.07873361557722092,
0.01766113005578518,
0.017849905416369438,
-0.03005777671933174,
-0.018427012488245964,
-0.027483414858579636,
0.011836955323815346,
0.0342324823141098,
-0.028122292831540108,
0.05523591861128807,
-0.07618382573127747,
-0.011885830201208591,
-0.023775164037942886,
0.009788992814719677,
0.04362703859806061,
0.03820192813873291,
-0.042792174965143204,
0.0038200379349291325,
-0.030420297756791115,
0.05109577998518944,
-0.0417855903506279,
0.05534680187702179,
-0.03172656148672104,
-0.029189229011535645,
-0.05196056887507439,
0.02680220641195774,
-0.051734670996665955,
0.03755027428269386,
0.04529445245862007,
0.004447849467396736,
0.09853702783584595,
-0.1948397010564804,
0.03210587054491043,
0.039120350033044815,
0.0415605753660202,
-0.0248156376183033,
0.004470280837267637,
0.07513128966093063,
-0.03905965015292168,
0.0352984219789505,
0.016480758786201477,
-0.03180942311882973,
0.03457216918468475,
-0.019662832841277122,
0.053972069174051285,
0.06902976334095001,
-0.04526495561003685,
-0.0056921811774373055,
-0.05880529433488846,
-0.04471570998430252,
-0.026335768401622772,
-0.11773975938558578,
-0.03542552515864372,
-0.03259884566068649,
-0.04743499681353569,
-0.022463558241724968,
0.008496689610183239,
0.01944812200963497,
0.010793506167829037,
-0.06658249348402023,
-2.3937820224732834e-33,
-0.007986093871295452,
-0.04606328904628754,
0.0076746768318116665,
0.08219750970602036,
0.017060089856386185,
0.025376148521900177,
0.046398717910051346,
0.04566400125622749,
0.05571393296122551,
0.0234205424785614,
0.06753586232662201,
-0.008350848220288754,
-0.029179029166698456,
-0.014194289222359657,
-0.07617215067148209,
0.03304241597652435,
-0.010617160238325596,
0.018294500187039375,
0.1180192083120346,
-0.04681911692023277,
0.07454145699739456,
-0.041169747710227966,
0.05825323611497879,
0.018484480679035187,
0.09966672211885452,
0.010767540894448757,
0.07463206350803375,
0.01099536381661892,
0.020392276346683502,
-0.05616872385144234,
-0.017727874219417572,
0.013436725363135338,
0.055649254471063614,
0.004618058912456036,
-0.1260284185409546,
0.07842106372117996,
-0.01774846762418747,
-0.020148176699876785,
-0.06509790569543839,
0.0034697239752858877,
-0.023359620943665504,
0.015178235247731209,
-0.02094033919274807,
-0.04000816121697426,
0.010693399235606194,
0.027165694162249565,
0.01530112698674202,
0.028617579489946365,
-0.03132873773574829,
-0.04203799366950989,
-0.1037975624203682,
0.0016083497321233153,
-0.00981729943305254,
0.06044711172580719,
0.013349717482924461,
0.04180669039487839,
-0.07764004915952682,
0.03459614887833595,
-0.0020866829436272383,
0.0699765533208847,
-0.004976306110620499,
0.004856657236814499,
-0.0230471920222044,
-0.019850920885801315,
0.007485406007617712,
-0.054799411445856094,
0.03792182356119156,
-0.045530322939157486,
0.05510510131716728,
-0.03130519390106201,
0.021797090768814087,
-0.013387967832386494,
0.038682058453559875,
-0.015266849659383297,
0.06238814815878868,
-0.0057250214740633965,
0.1306174248456955,
-0.09544941037893295,
-0.07620377838611603,
0.012915633618831635,
-0.029294248670339584,
-0.05298537388443947,
-0.05164077877998352,
0.038427211344242096,
-0.060796305537223816,
0.05807556211948395,
-0.09668553620576859,
0.040772564709186554,
0.012968964874744415,
-0.027093205600976944,
-0.06086520105600357,
0.06492579728364944,
-0.020101089030504227,
-0.1248532310128212,
0.011420827358961105,
-5.508345424232175e-8,
0.05323690176010132,
-0.022745883092284203,
-0.0782242938876152,
0.015303315594792366,
0.02402658388018608,
0.002611427567899227,
-0.008676134981215,
0.01669170893728733,
-0.030146785080432892,
-0.0936066135764122,
0.04333793744444847,
-0.09441614151000977,
-0.03607651963829994,
-0.044758543372154236,
0.048123549669981,
0.0036726549733430147,
0.005192616954445839,
-0.08772207051515579,
-0.05465231090784073,
0.07886755466461182,
-0.01894121803343296,
-0.008503854274749756,
0.057940393686294556,
-0.02047382853925228,
-0.10375669598579407,
-0.04719262942671776,
-0.059016574174165726,
0.0113334646448493,
-0.020360982045531273,
-0.02595013938844204,
-0.08065666258335114,
-0.0071357605047523975,
0.02686736360192299,
0.07805185765028,
-0.10117355734109879,
0.008170351386070251,
-0.01585664041340351,
0.06574667990207672,
0.02136423997581005,
0.053179699927568436,
-0.038317084312438965,
0.06513059139251709,
-0.0954354852437973,
0.009474154561758041,
0.057960595935583115,
0.08753136545419693,
0.04741659387946129,
-0.027290774509310722,
-0.020125530660152435,
0.052470333874225616,
-0.02740136906504631,
0.12906570732593536,
-0.08511020988225937,
-0.024972984567284584,
-0.02365242689847946,
0.008400698192417622,
-0.036890026181936264,
-0.12033436447381973,
0.02027330920100212,
0.02991216816008091,
-0.05278126895427704,
-0.07739336043596268,
-0.1159612163901329,
-0.05830720439553261
] | null | null | null | null | null | null | null |
[
-0.03399668633937836,
-0.044744823127985,
0.031031886115670204,
0.042657848447561264,
0.013207115232944489,
0.00616364786401391,
-0.02287602797150612,
-0.047729238867759705,
-0.03823753818869591,
-0.08283278346061707,
0.05188325420022011,
-0.026517324149608612,
-0.005333497188985348,
-0.048228103667497635,
0.03158952295780182,
-0.049661584198474884,
0.020136414095759392,
0.05082005634903908,
-0.027743929997086525,
0.002630318980664015,
0.034305110573768616,
-0.03109690733253956,
-0.060970161110162735,
0.044476401060819626,
0.00032167474273592234,
0.037214502692222595,
0.08289686590433121,
-0.047377169132232666,
0.02891291305422783,
0.004531972110271454,
0.05195704475045204,
0.028695877641439438,
-0.09383390843868256,
0.018109485507011414,
0.013248619623482227,
-0.0725736916065216,
0.09219743311405182,
0.005308826453983784,
0.07605499029159546,
-0.1095447763800621,
0.09603623300790787,
0.027163244783878326,
0.004132063593715429,
0.07935020327568054,
0.035708483308553696,
0.05991119146347046,
0.08735162764787674,
-0.06148340553045273,
-0.046600647270679474,
-0.025806104764342308,
0.02976267971098423,
0.06820736825466156,
-0.04007171466946602,
-0.0022221265826374292,
-0.005491455551236868,
0.06054562330245972,
0.03835668787360191,
0.03948371112346649,
0.020390719175338745,
-0.03206436708569527,
-0.05467535927891731,
-0.024288373067975044,
-0.007105578202754259,
0.0024119114968925714,
0.004946249537169933,
0.02144109271466732,
0.07943321764469147,
0.0024765196722000837,
0.04606837034225464,
0.06846214830875397,
-0.024595750495791435,
0.062405187636613846,
0.033418793231248856,
0.026566114276647568,
-0.013990277424454689,
-0.05112127587199211,
0.03228521719574928,
0.055315230041742325,
0.019093329086899757,
0.007972093299031258,
0.006953859236091375,
-0.04109859839081764,
0.03639659658074379,
0.021668359637260437,
-0.06293563544750214,
-0.021435203030705452,
0.00019096140749752522,
0.02249055914580822,
0.039872463792562485,
-0.07146433740854263,
-0.0032889568246901035,
-0.02307928539812565,
-0.0494099035859108,
-0.07783477008342743,
0.09367605298757553,
0.0024204987566918135,
0.0506051629781723,
-0.07273338735103607,
0.04298050329089165,
0.07958908379077911,
0.0949556827545166,
0.012130050919950008,
-0.040021345019340515,
0.06104036420583725,
-0.06223291903734207,
0.014957460574805737,
0.03880820795893669,
0.036523398011922836,
-0.08373436331748962,
0.1258103996515274,
0.04893821105360985,
0.021021950989961624,
0.044689033180475235,
-0.012510472908616066,
0.027800263836979866,
0.04788646101951599,
0.0109925027936697,
0.05819213390350342,
0.02547423355281353,
-0.004813332110643387,
-0.08998186141252518,
-0.0029226106125861406,
-0.01708633080124855,
0.08151295781135559,
0.046710748225450516,
0.0872933641076088,
0.005104523152112961,
3.1808073572659718e-34,
0.031072884798049927,
-0.001092942082323134,
-0.018788764253258705,
-0.000010477231626282446,
-0.01875181309878826,
0.029031289741396904,
0.007181601133197546,
0.034590788185596466,
-0.12000729143619537,
0.030581116676330566,
-0.0017858922947198153,
0.013388286344707012,
-0.03312256187200546,
-0.04848550260066986,
-0.008240890689194202,
0.054879385977983475,
-0.014223640784621239,
0.0704660713672638,
0.05168606713414192,
0.06615998595952988,
-0.012826633639633656,
-0.051554176956415176,
-0.06549280881881714,
0.01994798146188259,
-0.06840101629495621,
0.10558053106069565,
0.01764398068189621,
-0.0524880513548851,
0.014698347076773643,
-0.015775995329022408,
0.019342277199029922,
0.09397639334201813,
-0.09980388730764389,
0.009867611341178417,
0.08968258649110794,
-0.07873361557722092,
0.01766113005578518,
0.017849905416369438,
-0.03005777671933174,
-0.018427012488245964,
-0.027483414858579636,
0.011836955323815346,
0.0342324823141098,
-0.028122292831540108,
0.05523591861128807,
-0.07618382573127747,
-0.011885830201208591,
-0.023775164037942886,
0.009788992814719677,
0.04362703859806061,
0.03820192813873291,
-0.042792174965143204,
0.0038200379349291325,
-0.030420297756791115,
0.05109577998518944,
-0.0417855903506279,
0.05534680187702179,
-0.03172656148672104,
-0.029189229011535645,
-0.05196056887507439,
0.02680220641195774,
-0.051734670996665955,
0.03755027428269386,
0.04529445245862007,
0.004447849467396736,
0.09853702783584595,
-0.1948397010564804,
0.03210587054491043,
0.039120350033044815,
0.0415605753660202,
-0.0248156376183033,
0.004470280837267637,
0.07513128966093063,
-0.03905965015292168,
0.0352984219789505,
0.016480758786201477,
-0.03180942311882973,
0.03457216918468475,
-0.019662832841277122,
0.053972069174051285,
0.06902976334095001,
-0.04526495561003685,
-0.0056921811774373055,
-0.05880529433488846,
-0.04471570998430252,
-0.026335768401622772,
-0.11773975938558578,
-0.03542552515864372,
-0.03259884566068649,
-0.04743499681353569,
-0.022463558241724968,
0.008496689610183239,
0.01944812200963497,
0.010793506167829037,
-0.06658249348402023,
-2.3937820224732834e-33,
-0.007986093871295452,
-0.04606328904628754,
0.0076746768318116665,
0.08219750970602036,
0.017060089856386185,
0.025376148521900177,
0.046398717910051346,
0.04566400125622749,
0.05571393296122551,
0.0234205424785614,
0.06753586232662201,
-0.008350848220288754,
-0.029179029166698456,
-0.014194289222359657,
-0.07617215067148209,
0.03304241597652435,
-0.010617160238325596,
0.018294500187039375,
0.1180192083120346,
-0.04681911692023277,
0.07454145699739456,
-0.041169747710227966,
0.05825323611497879,
0.018484480679035187,
0.09966672211885452,
0.010767540894448757,
0.07463206350803375,
0.01099536381661892,
0.020392276346683502,
-0.05616872385144234,
-0.017727874219417572,
0.013436725363135338,
0.055649254471063614,
0.004618058912456036,
-0.1260284185409546,
0.07842106372117996,
-0.01774846762418747,
-0.020148176699876785,
-0.06509790569543839,
0.0034697239752858877,
-0.023359620943665504,
0.015178235247731209,
-0.02094033919274807,
-0.04000816121697426,
0.010693399235606194,
0.027165694162249565,
0.01530112698674202,
0.028617579489946365,
-0.03132873773574829,
-0.04203799366950989,
-0.1037975624203682,
0.0016083497321233153,
-0.00981729943305254,
0.06044711172580719,
0.013349717482924461,
0.04180669039487839,
-0.07764004915952682,
0.03459614887833595,
-0.0020866829436272383,
0.0699765533208847,
-0.004976306110620499,
0.004856657236814499,
-0.0230471920222044,
-0.019850920885801315,
0.007485406007617712,
-0.054799411445856094,
0.03792182356119156,
-0.045530322939157486,
0.05510510131716728,
-0.03130519390106201,
0.021797090768814087,
-0.013387967832386494,
0.038682058453559875,
-0.015266849659383297,
0.06238814815878868,
-0.0057250214740633965,
0.1306174248456955,
-0.09544941037893295,
-0.07620377838611603,
0.012915633618831635,
-0.029294248670339584,
-0.05298537388443947,
-0.05164077877998352,
0.038427211344242096,
-0.060796305537223816,
0.05807556211948395,
-0.09668553620576859,
0.040772564709186554,
0.012968964874744415,
-0.027093205600976944,
-0.06086520105600357,
0.06492579728364944,
-0.020101089030504227,
-0.1248532310128212,
0.011420827358961105,
-5.508345424232175e-8,
0.05323690176010132,
-0.022745883092284203,
-0.0782242938876152,
0.015303315594792366,
0.02402658388018608,
0.002611427567899227,
-0.008676134981215,
0.01669170893728733,
-0.030146785080432892,
-0.0936066135764122,
0.04333793744444847,
-0.09441614151000977,
-0.03607651963829994,
-0.044758543372154236,
0.048123549669981,
0.0036726549733430147,
0.005192616954445839,
-0.08772207051515579,
-0.05465231090784073,
0.07886755466461182,
-0.01894121803343296,
-0.008503854274749756,
0.057940393686294556,
-0.02047382853925228,
-0.10375669598579407,
-0.04719262942671776,
-0.059016574174165726,
0.0113334646448493,
-0.020360982045531273,
-0.02595013938844204,
-0.08065666258335114,
-0.0071357605047523975,
0.02686736360192299,
0.07805185765028,
-0.10117355734109879,
0.008170351386070251,
-0.01585664041340351,
0.06574667990207672,
0.02136423997581005,
0.053179699927568436,
-0.038317084312438965,
0.06513059139251709,
-0.0954354852437973,
0.009474154561758041,
0.057960595935583115,
0.08753136545419693,
0.04741659387946129,
-0.027290774509310722,
-0.020125530660152435,
0.052470333874225616,
-0.02740136906504631,
0.12906570732593536,
-0.08511020988225937,
-0.024972984567284584,
-0.02365242689847946,
0.008400698192417622,
-0.036890026181936264,
-0.12033436447381973,
0.02027330920100212,
0.02991216816008091,
-0.05278126895427704,
-0.07739336043596268,
-0.1159612163901329,
-0.05830720439553261
] |
1401.7700
|
Haris Aziz
|
Haris Aziz
|
Random assignment with multi-unit demands
|
17 pages
| null | null | null |
cs.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the multi-unit random assignment problem in which agents express
preferences over objects and objects are allocated to agents randomly based on
the preferences. The most well-established preference relation to compare
random allocations of objects is stochastic dominance (SD) which also leads to
corresponding notions of envy-freeness, efficiency, and weak strategyproofness.
We show that there exists no rule that is anonymous, neutral, efficient and
weak strategyproof. For single-unit random assignment, we show that there
exists no rule that is anonymous, neutral, efficient and weak
group-strategyproof. We then study a generalization of the PS (probabilistic
serial) rule called multi-unit-eating PS and prove that multi-unit-eating PS
satisfies envy-freeness, weak strategyproofness, and unanimity.
|
[
{
"created": "Wed, 29 Jan 2014 23:19:54 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 2015 03:45:09 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jun 2015 09:51:42 GMT",
"version": "v3"
}
] |
2015-06-22
|
[
[
"Aziz",
"Haris",
""
]
] |
[
-0.028298327699303627,
-0.03778931498527527,
-0.03406263887882233,
-0.037296924740076065,
0.004012542311102152,
0.026613250374794006,
0.04590330272912979,
-0.08051952719688416,
0.007287745364010334,
0.06725375354290009,
-0.002396802883595228,
0.029338790103793144,
0.11827497184276581,
-0.023106249049305916,
0.06124993413686752,
-0.04350336641073227,
0.0900963768362999,
0.04759221896529198,
-0.0506414994597435,
0.036003731191158295,
0.004239434376358986,
-0.10915055871009827,
0.009981447830796242,
-0.021129418164491653,
-0.016055963933467865,
-0.09611260145902634,
-0.006756466347724199,
-0.07489237934350967,
-0.021708829328417778,
-0.017099613323807716,
0.04265587404370308,
-0.04937627166509628,
0.0780521035194397,
-0.023491568863391876,
0.01965140923857689,
-0.02049376256763935,
-0.08171702921390533,
-0.10738924890756607,
-0.025729119777679443,
0.030388621613383293,
-0.01684279926121235,
0.015278033912181854,
-0.10558623820543289,
0.007508161943405867,
-0.07832709699869156,
0.07764072716236115,
-0.008043392561376095,
0.011549782007932663,
-0.01541182678192854,
-0.046647731214761734,
0.02408631332218647,
-0.007058586925268173,
-0.04883747920393944,
0.013740838505327702,
0.05575734004378319,
0.03399895504117012,
-0.006216658279299736,
0.025946253910660744,
-0.0435207225382328,
-0.035450294613838196,
-0.010678579099476337,
-0.05036962777376175,
-0.0022481849882751703,
0.005047841928899288,
0.048075806349515915,
-0.03567192330956459,
0.006432212423533201,
0.12806116044521332,
-0.07602643966674805,
0.06099390238523483,
0.035904742777347565,
0.009343620389699936,
0.028306903317570686,
0.07126685231924057,
0.06911010295152664,
0.061649005860090256,
0.03080424852669239,
-0.10344728827476501,
-0.06053218990564346,
0.03327108547091484,
-0.14765457808971405,
-0.0388176366686821,
0.014485310763120651,
0.02354069985449314,
0.025627562776207924,
-0.060977425426244736,
-0.013068134896457195,
-0.06527087092399597,
0.11294093728065491,
0.002433156128972769,
-0.09891235828399658,
0.07501214742660522,
0.037114959210157394,
-0.0010454232105985284,
0.014538674615323544,
0.02853056788444519,
-0.05607692152261734,
-0.03782759979367256,
-0.028191260993480682,
0.05348369479179382,
-0.037391602993011475,
0.030722368508577347,
0.010109689086675644,
0.0344456285238266,
0.042765289545059204,
-0.0011336111929267645,
-0.026781117543578148,
-0.045120567083358765,
0.05140090733766556,
-0.024878989905118942,
0.039575424045324326,
0.05361080542206764,
0.014057306572794914,
0.03198207914829254,
-0.08187170326709747,
-0.0158360805362463,
-0.004666866734623909,
0.05469382181763649,
-0.02977924980223179,
-0.07290899008512497,
0.009439281187951565,
-0.05686110258102417,
0.0430416502058506,
0.03657938539981842,
0.004558566492050886,
0.07609473168849945,
0.062818244099617,
-1.3100483218796184e-33,
-0.04862803965806961,
-0.04374103993177414,
0.05051577836275101,
-0.07376160472631454,
0.02915981411933899,
-0.04911619424819946,
0.054148368537425995,
-0.002159225521609187,
-0.06340132653713226,
0.020980335772037506,
0.042951349169015884,
0.08115717023611069,
-0.009660794399678707,
0.10838492959737778,
0.057968489825725555,
-0.0035838093608617783,
0.015776501968503,
0.08444968611001968,
0.09602656960487366,
-0.08059711754322052,
0.07293474674224854,
0.07862642407417297,
-0.0037317737005650997,
-0.08087655156850815,
0.03501003235578537,
-0.05319947376847267,
-0.08776260912418365,
-0.10390311479568481,
0.04204094037413597,
0.05368920788168907,
-0.03126068040728569,
0.04088520258665085,
0.02840421162545681,
0.03838086128234863,
-0.05554080009460449,
0.03707662969827652,
-0.07182960957288742,
0.002960427664220333,
-0.054642051458358765,
0.0009064784971997142,
0.030808305367827415,
-0.056987591087818146,
0.07485414296388626,
-0.0681561678647995,
-0.05975958704948425,
-0.014260852709412575,
-0.03882339596748352,
0.03263763710856438,
-0.06038026511669159,
-0.07651732116937637,
0.03309505060315132,
0.018718017265200615,
0.01151513122022152,
-0.03592007979750633,
-0.01003708690404892,
-0.06220906972885132,
0.04932994022965431,
0.03289751708507538,
0.004885368049144745,
-0.0023934883065521717,
-0.06064683943986893,
0.0219718087464571,
0.008578093722462654,
0.042353082448244095,
-0.044208820909261703,
0.04825379699468613,
-0.013818100094795227,
-0.07450845837593079,
0.09814837574958801,
-0.044191405177116394,
0.010130169801414013,
0.026466695591807365,
-0.12158789485692978,
-0.03827785700559616,
-0.03241224214434624,
0.047961216419935226,
0.09084724634885788,
0.014038681983947754,
0.034228380769491196,
-0.01981133036315441,
-0.027908602729439735,
0.0004426478408277035,
-0.02688220888376236,
-0.06423120200634003,
-0.11263395100831985,
0.0016453060088679194,
0.008262939751148224,
-0.09363019466400146,
0.010390854440629482,
0.08774613589048386,
0.04176536947488785,
-0.0052488744258880615,
-0.015326684340834618,
0.036593709141016006,
-0.013964919373393059,
-1.645903312792366e-33,
-0.06876591593027115,
-0.04449187591671944,
0.02184258960187435,
0.036334484815597534,
0.017504729330539703,
-0.027329659089446068,
-0.0732831060886383,
-0.12249482423067093,
-0.06507711112499237,
0.016598060727119446,
-0.10326354950666428,
0.02488425001502037,
0.023601220920681953,
-0.012167545966804028,
-0.004139630123972893,
-0.03664225712418556,
0.08109386265277863,
0.058318883180618286,
-0.01955549605190754,
-0.06511110812425613,
0.049957241863012314,
0.1281166523694992,
0.05488533154129982,
0.06817418336868286,
0.06780245155096054,
0.025166865438222885,
-0.008571367710828781,
0.02605556882917881,
0.00922488234937191,
-0.026470312848687172,
-0.042037203907966614,
-0.08309707790613174,
-0.024359559640288353,
-0.03138355910778046,
0.03358893096446991,
0.022411540150642395,
-0.015900269150733948,
0.091508649289608,
-0.03469497710466385,
0.10231026262044907,
-0.03152012452483177,
-0.08400406688451767,
-0.00498569943010807,
0.05067254602909088,
0.0443011075258255,
-0.05307234823703766,
0.01392290834337473,
-0.029003193601965904,
0.09410431236028671,
0.009281100705265999,
0.012668594717979431,
0.05105656757950783,
0.0002582016750238836,
0.039087895303964615,
-0.023420903831720352,
-0.034574829041957855,
0.0010774051770567894,
0.011338328942656517,
0.06457195430994034,
0.013318159617483616,
0.04170646890997887,
0.03547443076968193,
-0.08340360224246979,
0.11156371235847473,
-0.04935302585363388,
-0.05046640709042549,
0.039678797125816345,
-0.04759497195482254,
0.10545553267002106,
-0.06222442165017128,
0.04257098585367203,
0.01642310433089733,
-0.039191920310258865,
-0.03031233325600624,
-0.04488174617290497,
0.12684892117977142,
-0.02559962123632431,
0.02343161590397358,
-0.012636043131351471,
0.02576052024960518,
-0.05320050194859505,
0.010592082515358925,
0.04871385172009468,
-0.02197536826133728,
-0.029456909745931625,
-0.04254748672246933,
0.0674506202340126,
0.026217786595225334,
0.016038591042160988,
-0.010542799718677998,
-0.01404817309230566,
-0.004185296129435301,
0.011946537531912327,
-0.010027492418885231,
-0.06232264265418053,
-4.368419581624039e-8,
0.06227438151836395,
-0.030249830335378647,
0.11198519170284271,
0.09331180155277252,
0.0003329824539832771,
-0.0464053750038147,
0.003715767990797758,
-0.050233058631420135,
-0.04784819856286049,
0.05906329303979874,
0.0292374100536108,
0.07975035160779953,
0.030430525541305542,
-0.05958225950598717,
0.000629041634965688,
-0.017219752073287964,
-0.06576333194971085,
0.011445142328739166,
-0.04035399854183197,
0.009952247142791748,
-0.02200363576412201,
0.005359090864658356,
0.019243603572249413,
-0.06728508323431015,
-0.04334848374128342,
0.040236081928014755,
-0.01871533691883087,
-0.007201141677796841,
0.0810922160744667,
0.12018554657697678,
0.017185980454087257,
-0.04201062023639679,
-0.0012725041015073657,
-0.003751682350412011,
0.04063740372657776,
0.06326369941234589,
-0.05098113790154457,
0.03645109757781029,
-0.0155083192512393,
-0.0773036926984787,
0.04698308929800987,
-0.03250011056661606,
0.012109934352338314,
0.05020161345601082,
0.03649500012397766,
0.027959149330854416,
-0.012775237672030926,
-0.086568683385849,
0.025875087827444077,
-0.06225960701704025,
-0.0017962397541850805,
-0.023026399314403534,
-0.01467275619506836,
0.02932984195649624,
-0.005263248458504677,
0.008158613927662373,
-0.01457123551517725,
-0.0357845239341259,
0.0024544571060687304,
0.012019572779536247,
0.06159654259681702,
0.01078473124653101,
-0.09675360471010208,
-0.003635008819401264
] | null | null | null | null | null | null | null |
[
-0.028298327699303627,
-0.03778931498527527,
-0.03406263887882233,
-0.037296924740076065,
0.004012542311102152,
0.026613250374794006,
0.04590330272912979,
-0.08051952719688416,
0.007287745364010334,
0.06725375354290009,
-0.002396802883595228,
0.029338790103793144,
0.11827497184276581,
-0.023106249049305916,
0.06124993413686752,
-0.04350336641073227,
0.0900963768362999,
0.04759221896529198,
-0.0506414994597435,
0.036003731191158295,
0.004239434376358986,
-0.10915055871009827,
0.009981447830796242,
-0.021129418164491653,
-0.016055963933467865,
-0.09611260145902634,
-0.006756466347724199,
-0.07489237934350967,
-0.021708829328417778,
-0.017099613323807716,
0.04265587404370308,
-0.04937627166509628,
0.0780521035194397,
-0.023491568863391876,
0.01965140923857689,
-0.02049376256763935,
-0.08171702921390533,
-0.10738924890756607,
-0.025729119777679443,
0.030388621613383293,
-0.01684279926121235,
0.015278033912181854,
-0.10558623820543289,
0.007508161943405867,
-0.07832709699869156,
0.07764072716236115,
-0.008043392561376095,
0.011549782007932663,
-0.01541182678192854,
-0.046647731214761734,
0.02408631332218647,
-0.007058586925268173,
-0.04883747920393944,
0.013740838505327702,
0.05575734004378319,
0.03399895504117012,
-0.006216658279299736,
0.025946253910660744,
-0.0435207225382328,
-0.035450294613838196,
-0.010678579099476337,
-0.05036962777376175,
-0.0022481849882751703,
0.005047841928899288,
0.048075806349515915,
-0.03567192330956459,
0.006432212423533201,
0.12806116044521332,
-0.07602643966674805,
0.06099390238523483,
0.035904742777347565,
0.009343620389699936,
0.028306903317570686,
0.07126685231924057,
0.06911010295152664,
0.061649005860090256,
0.03080424852669239,
-0.10344728827476501,
-0.06053218990564346,
0.03327108547091484,
-0.14765457808971405,
-0.0388176366686821,
0.014485310763120651,
0.02354069985449314,
0.025627562776207924,
-0.060977425426244736,
-0.013068134896457195,
-0.06527087092399597,
0.11294093728065491,
0.002433156128972769,
-0.09891235828399658,
0.07501214742660522,
0.037114959210157394,
-0.0010454232105985284,
0.014538674615323544,
0.02853056788444519,
-0.05607692152261734,
-0.03782759979367256,
-0.028191260993480682,
0.05348369479179382,
-0.037391602993011475,
0.030722368508577347,
0.010109689086675644,
0.0344456285238266,
0.042765289545059204,
-0.0011336111929267645,
-0.026781117543578148,
-0.045120567083358765,
0.05140090733766556,
-0.024878989905118942,
0.039575424045324326,
0.05361080542206764,
0.014057306572794914,
0.03198207914829254,
-0.08187170326709747,
-0.0158360805362463,
-0.004666866734623909,
0.05469382181763649,
-0.02977924980223179,
-0.07290899008512497,
0.009439281187951565,
-0.05686110258102417,
0.0430416502058506,
0.03657938539981842,
0.004558566492050886,
0.07609473168849945,
0.062818244099617,
-1.3100483218796184e-33,
-0.04862803965806961,
-0.04374103993177414,
0.05051577836275101,
-0.07376160472631454,
0.02915981411933899,
-0.04911619424819946,
0.054148368537425995,
-0.002159225521609187,
-0.06340132653713226,
0.020980335772037506,
0.042951349169015884,
0.08115717023611069,
-0.009660794399678707,
0.10838492959737778,
0.057968489825725555,
-0.0035838093608617783,
0.015776501968503,
0.08444968611001968,
0.09602656960487366,
-0.08059711754322052,
0.07293474674224854,
0.07862642407417297,
-0.0037317737005650997,
-0.08087655156850815,
0.03501003235578537,
-0.05319947376847267,
-0.08776260912418365,
-0.10390311479568481,
0.04204094037413597,
0.05368920788168907,
-0.03126068040728569,
0.04088520258665085,
0.02840421162545681,
0.03838086128234863,
-0.05554080009460449,
0.03707662969827652,
-0.07182960957288742,
0.002960427664220333,
-0.054642051458358765,
0.0009064784971997142,
0.030808305367827415,
-0.056987591087818146,
0.07485414296388626,
-0.0681561678647995,
-0.05975958704948425,
-0.014260852709412575,
-0.03882339596748352,
0.03263763710856438,
-0.06038026511669159,
-0.07651732116937637,
0.03309505060315132,
0.018718017265200615,
0.01151513122022152,
-0.03592007979750633,
-0.01003708690404892,
-0.06220906972885132,
0.04932994022965431,
0.03289751708507538,
0.004885368049144745,
-0.0023934883065521717,
-0.06064683943986893,
0.0219718087464571,
0.008578093722462654,
0.042353082448244095,
-0.044208820909261703,
0.04825379699468613,
-0.013818100094795227,
-0.07450845837593079,
0.09814837574958801,
-0.044191405177116394,
0.010130169801414013,
0.026466695591807365,
-0.12158789485692978,
-0.03827785700559616,
-0.03241224214434624,
0.047961216419935226,
0.09084724634885788,
0.014038681983947754,
0.034228380769491196,
-0.01981133036315441,
-0.027908602729439735,
0.0004426478408277035,
-0.02688220888376236,
-0.06423120200634003,
-0.11263395100831985,
0.0016453060088679194,
0.008262939751148224,
-0.09363019466400146,
0.010390854440629482,
0.08774613589048386,
0.04176536947488785,
-0.0052488744258880615,
-0.015326684340834618,
0.036593709141016006,
-0.013964919373393059,
-1.645903312792366e-33,
-0.06876591593027115,
-0.04449187591671944,
0.02184258960187435,
0.036334484815597534,
0.017504729330539703,
-0.027329659089446068,
-0.0732831060886383,
-0.12249482423067093,
-0.06507711112499237,
0.016598060727119446,
-0.10326354950666428,
0.02488425001502037,
0.023601220920681953,
-0.012167545966804028,
-0.004139630123972893,
-0.03664225712418556,
0.08109386265277863,
0.058318883180618286,
-0.01955549605190754,
-0.06511110812425613,
0.049957241863012314,
0.1281166523694992,
0.05488533154129982,
0.06817418336868286,
0.06780245155096054,
0.025166865438222885,
-0.008571367710828781,
0.02605556882917881,
0.00922488234937191,
-0.026470312848687172,
-0.042037203907966614,
-0.08309707790613174,
-0.024359559640288353,
-0.03138355910778046,
0.03358893096446991,
0.022411540150642395,
-0.015900269150733948,
0.091508649289608,
-0.03469497710466385,
0.10231026262044907,
-0.03152012452483177,
-0.08400406688451767,
-0.00498569943010807,
0.05067254602909088,
0.0443011075258255,
-0.05307234823703766,
0.01392290834337473,
-0.029003193601965904,
0.09410431236028671,
0.009281100705265999,
0.012668594717979431,
0.05105656757950783,
0.0002582016750238836,
0.039087895303964615,
-0.023420903831720352,
-0.034574829041957855,
0.0010774051770567894,
0.011338328942656517,
0.06457195430994034,
0.013318159617483616,
0.04170646890997887,
0.03547443076968193,
-0.08340360224246979,
0.11156371235847473,
-0.04935302585363388,
-0.05046640709042549,
0.039678797125816345,
-0.04759497195482254,
0.10545553267002106,
-0.06222442165017128,
0.04257098585367203,
0.01642310433089733,
-0.039191920310258865,
-0.03031233325600624,
-0.04488174617290497,
0.12684892117977142,
-0.02559962123632431,
0.02343161590397358,
-0.012636043131351471,
0.02576052024960518,
-0.05320050194859505,
0.010592082515358925,
0.04871385172009468,
-0.02197536826133728,
-0.029456909745931625,
-0.04254748672246933,
0.0674506202340126,
0.026217786595225334,
0.016038591042160988,
-0.010542799718677998,
-0.01404817309230566,
-0.004185296129435301,
0.011946537531912327,
-0.010027492418885231,
-0.06232264265418053,
-4.368419581624039e-8,
0.06227438151836395,
-0.030249830335378647,
0.11198519170284271,
0.09331180155277252,
0.0003329824539832771,
-0.0464053750038147,
0.003715767990797758,
-0.050233058631420135,
-0.04784819856286049,
0.05906329303979874,
0.0292374100536108,
0.07975035160779953,
0.030430525541305542,
-0.05958225950598717,
0.000629041634965688,
-0.017219752073287964,
-0.06576333194971085,
0.011445142328739166,
-0.04035399854183197,
0.009952247142791748,
-0.02200363576412201,
0.005359090864658356,
0.019243603572249413,
-0.06728508323431015,
-0.04334848374128342,
0.040236081928014755,
-0.01871533691883087,
-0.007201141677796841,
0.0810922160744667,
0.12018554657697678,
0.017185980454087257,
-0.04201062023639679,
-0.0012725041015073657,
-0.003751682350412011,
0.04063740372657776,
0.06326369941234589,
-0.05098113790154457,
0.03645109757781029,
-0.0155083192512393,
-0.0773036926984787,
0.04698308929800987,
-0.03250011056661606,
0.012109934352338314,
0.05020161345601082,
0.03649500012397766,
0.027959149330854416,
-0.012775237672030926,
-0.086568683385849,
0.025875087827444077,
-0.06225960701704025,
-0.0017962397541850805,
-0.023026399314403534,
-0.01467275619506836,
0.02932984195649624,
-0.005263248458504677,
0.008158613927662373,
-0.01457123551517725,
-0.0357845239341259,
0.0024544571060687304,
0.012019572779536247,
0.06159654259681702,
0.01078473124653101,
-0.09675360471010208,
-0.003635008819401264
] |
1401.7702
|
Benjamin Miller
|
Benjamin A. Miller, Michelle S. Beard, Patrick J. Wolfe, and Nadya T.
Bliss
|
A Spectral Framework for Anomalous Subgraph Detection
|
In submission to the IEEE, 16 pages, 8 figures
|
IEEE Trans. Signal Process. 63 (2015) 4191-4206
|
10.1109/TSP.2015.2437841
| null |
cs.SI stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A wide variety of application domains are concerned with data consisting of
entities and their relationships or connections, formally represented as
graphs. Within these diverse application areas, a common problem of interest is
the detection of a subset of entities whose connectivity is anomalous with
respect to the rest of the data. While the detection of such anomalous
subgraphs has received a substantial amount of attention, no
application-agnostic framework exists for analysis of signal detectability in
graph-based data. In this paper, we describe a framework that enables such
analysis using the principal eigenspace of a graph's residuals matrix, commonly
called the modularity matrix in community detection. Leveraging this analytical
tool, we show that the framework has a natural power metric in the spectral
norm of the anomalous subgraph's adjacency matrix (signal power) and of the
background graph's residuals matrix (noise power). We propose several
algorithms based on spectral properties of the residuals matrix, with more
computationally expensive techniques providing greater detection power.
Detection and identification performance are presented for a number of signal
and noise models, including clusters and bipartite foregrounds embedded into
simple random backgrounds as well as graphs with community structure and
realistic degree distributions. The trends observed verify intuition gleaned
from other signal processing areas, such as greater detection power when the
signal is embedded within a less active portion of the background. We
demonstrate the utility of the proposed techniques in detecting small, highly
anomalous subgraphs in real graphs derived from Internet traffic and product
co-purchases.
|
[
{
"created": "Wed, 29 Jan 2014 23:39:39 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2014 04:01:00 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Miller",
"Benjamin A.",
""
],
[
"Beard",
"Michelle S.",
""
],
[
"Wolfe",
"Patrick J.",
""
],
[
"Bliss",
"Nadya T.",
""
]
] |
[
-0.03821277245879173,
-0.10337213426828384,
-0.06923417001962662,
0.031139293685555458,
0.08649112284183502,
-0.07601232826709747,
-0.008862546645104885,
-0.10977577418088913,
-0.002106602769345045,
-0.020152689889073372,
0.054502177983522415,
-0.03168674185872078,
0.037358131259679794,
0.05109819397330284,
-0.019563082605600357,
0.01953146606683731,
0.07923448085784912,
-0.04321419075131416,
-0.024363921955227852,
-0.010831234976649284,
-0.04072760045528412,
0.013544432818889618,
-0.06462348997592926,
0.026652077212929726,
0.04838338494300842,
0.009965839795768261,
0.005304357036948204,
-0.012130480259656906,
-0.015653401613235474,
0.03612600639462471,
0.012648933567106724,
0.0761476457118988,
0.046587198972702026,
0.000016004996723495424,
0.0165163092315197,
0.03528496250510216,
0.08288264274597168,
0.04294580966234207,
0.03841175138950348,
0.055366989225149155,
0.07727912068367004,
0.019326910376548767,
0.023873446509242058,
0.03383525833487511,
-0.05721920356154442,
-0.032994404435157776,
-0.10386424511671066,
-0.020535925403237343,
-0.010997521691024303,
-0.0023755738511681557,
-0.004376284312456846,
0.022154705598950386,
-0.02181203104555607,
0.046834077686071396,
0.04208344966173172,
-0.06922375410795212,
-0.00030200002947822213,
-0.032221470028162,
0.05381123721599579,
-0.013612421229481697,
0.11018440872430801,
-0.03469255939126015,
-0.01599150337278843,
-0.05832289904356003,
-0.007516279350966215,
0.0880480706691742,
0.022236257791519165,
-0.005748628173023462,
0.07898091524839401,
0.008718199096620083,
0.00393580412492156,
0.03779833763837814,
-0.08599726855754852,
0.05589450150728226,
0.03289799764752388,
0.05433877184987068,
0.000011528496543178335,
-0.008479040116071701,
-0.015509012155234814,
-0.08354780822992325,
0.024754544720053673,
0.056787751615047455,
0.033619415014982224,
-0.0700978934764862,
0.08400595933198929,
0.04406911879777908,
-0.002739008516073227,
-0.07178953289985657,
0.002588114235550165,
0.01785261742770672,
-0.16409523785114288,
0.06665045768022537,
0.012939020060002804,
-0.01226669829338789,
0.024841299280524254,
0.042745441198349,
0.03954906016588211,
-0.05384218320250511,
0.06321008503437042,
0.1042071282863617,
-0.0329270213842392,
-0.049739040434360504,
0.01749541237950325,
0.008664458058774471,
0.023486502468585968,
0.03958214446902275,
-0.02497600018978119,
0.09779301285743713,
0.03978780657052994,
-0.04031522944569588,
-0.02166435867547989,
0.046393733471632004,
0.021794933825731277,
0.0019380556186661124,
0.04894596338272095,
-0.060557056218385696,
0.08941231667995453,
0.03439928591251373,
0.0018590842373669147,
0.05035906285047531,
0.04772023856639862,
-0.006445377599447966,
0.05532621592283249,
-0.032414235174655914,
0.09888708591461182,
0.012658038176596165,
-0.11756796389818192,
1.5533087044231327e-33,
0.07053743302822113,
0.07750052213668823,
0.0040442380122840405,
0.031223295256495476,
0.028469625860452652,
-0.027252325788140297,
-0.12884585559368134,
0.004391572903841734,
0.032884031534194946,
0.05077212303876877,
-0.04800276458263397,
0.08387139439582825,
0.010487520135939121,
-0.032461248338222504,
0.04176739975810051,
0.034176915884017944,
0.030967378988862038,
-0.006106346845626831,
0.025349577888846397,
-0.1040770560503006,
0.0008743553189560771,
-0.06305626034736633,
0.03522110357880592,
0.021307528018951416,
0.03410409018397331,
0.0021999417804181576,
0.02640967071056366,
-0.01145551074296236,
0.054421499371528625,
0.013018133118748665,
-0.019806060940027237,
0.04804610833525658,
0.04140903055667877,
0.036419596523046494,
-0.03407059609889984,
-0.05446336045861244,
0.052770670503377914,
-0.05925469845533371,
-0.010308001190423965,
-0.10280833393335342,
-0.027287151664495468,
0.017833612859249115,
-0.0312560610473156,
-0.06861747801303864,
-0.02729838341474533,
0.03378351032733917,
-0.009133628569543362,
-0.0343845933675766,
-0.0027473054360598326,
-0.033870041370391846,
0.019937945529818535,
-0.05326062813401222,
0.01849251613020897,
0.08992987871170044,
-0.09507643431425095,
0.01508067362010479,
0.025896677747368813,
0.03307688236236572,
0.09456662088632584,
0.05431424826383591,
0.04974889010190964,
-0.04029187560081482,
-0.01618732139468193,
0.01814132370054722,
0.012027380056679249,
-0.013967090286314487,
-0.041412461549043655,
0.054669301956892014,
0.02011272683739662,
-0.003874692600220442,
0.014567984268069267,
0.06122932955622673,
0.005259993951767683,
-0.04266275465488434,
-0.06558511406183243,
-0.0398404598236084,
-0.04362965002655983,
-0.0015438066329807043,
-0.07031593471765518,
0.09881860762834549,
-0.04336714744567871,
-0.0748903676867485,
0.013275635428726673,
-0.07574571669101715,
-0.07893335074186325,
-0.000055321972467936575,
-0.008284570649266243,
-0.08083649724721909,
-0.0348958745598793,
-0.03386121988296509,
-0.06832525879144669,
0.046542588621377945,
0.011584775522351265,
0.002916218712925911,
0.01637694425880909,
-1.95455176246182e-33,
-0.03854846581816673,
0.10204767435789108,
0.013553837314248085,
-0.00626616645604372,
0.04420441389083862,
-0.140602245926857,
-0.009923668578267097,
0.008000658825039864,
-0.030725782737135887,
0.004859833512455225,
0.00467086723074317,
-0.08000947535037994,
0.011234676465392113,
-0.007751883938908577,
0.005892117973417044,
0.012338207103312016,
0.015179375186562538,
0.01322879083454609,
-0.06981366872787476,
0.019474545493721962,
-0.0414193719625473,
-0.010442513041198254,
-0.07395923137664795,
-0.043855078518390656,
0.10602308809757233,
0.019056536257267,
-0.06411127001047134,
-0.02851446531713009,
-0.03406393155455589,
-0.026824258267879486,
-0.10514074563980103,
0.08841937780380249,
-0.07209395617246628,
-0.04256666824221611,
0.017758416011929512,
0.0751180425286293,
-0.006252793595194817,
-0.04520796984434128,
-0.020097089931368828,
0.001366445329040289,
-0.03770860284566879,
0.09177066385746002,
-0.058675482869148254,
0.007869398221373558,
-0.02082117088139057,
0.019180526956915855,
0.035625558346509933,
0.10476455092430115,
-0.05537138134241104,
-0.016740038990974426,
0.02747872844338417,
0.05798453465104103,
0.056793879717588425,
0.07965290546417236,
-0.015864454209804535,
0.04896166920661926,
0.06017598509788513,
0.07030785828828812,
-0.005025368649512529,
0.04231957346200943,
-0.010400567203760147,
-0.10023640096187592,
-0.13404712080955505,
-0.005186269525438547,
0.008329205214977264,
-0.011500166729092598,
0.0028113063890486956,
-0.04930168390274048,
0.026725569739937782,
0.08165992051362991,
0.06413209438323975,
-0.011311023496091366,
-0.0975610539317131,
-0.009035727940499783,
0.03080999292433262,
0.008200839161872864,
0.025429904460906982,
-0.024903278797864914,
-0.012780793942511082,
0.017404519021511078,
-0.022799041122198105,
-0.043126292526721954,
0.041957102715969086,
0.0016592807369306684,
0.0393710732460022,
0.07439012080430984,
-0.021725447848439217,
-0.02241305261850357,
-0.02063290774822235,
-0.0025252557825297117,
-0.0018312964821234345,
-0.08040249347686768,
-0.06275338679552078,
-0.0008279760950244963,
0.025337353348731995,
-4.1668240413628155e-8,
-0.1398957222700119,
-0.023976752534508705,
-0.09471426159143448,
-0.1333559900522232,
0.10850577801465988,
0.020142514258623123,
0.02238011546432972,
0.057711102068424225,
0.028174305334687233,
0.029407385736703873,
0.059654898941516876,
-0.04847383499145508,
-0.07036533951759338,
-0.022818362340331078,
-0.031496770679950714,
-0.03377377986907959,
-0.0342399999499321,
0.0032955887727439404,
-0.02225988730788231,
0.005580151919275522,
-0.01132600475102663,
-0.005127119831740856,
-0.01308972854167223,
0.08056838810443878,
0.01995953731238842,
-0.11466167867183685,
-0.05060242488980293,
0.026510313153266907,
0.015431859530508518,
-0.0031734362710267305,
-0.04890371486544609,
-0.007415532600134611,
0.045483194291591644,
0.00405137799680233,
0.0037834071554243565,
0.14518417418003082,
0.06470062583684921,
0.01402625534683466,
-0.05539098381996155,
0.060044627636671066,
0.01610643044114113,
0.024174928665161133,
-0.051006022840738297,
0.011497997678816319,
-0.0033552253153175116,
0.07676946371793747,
0.06021641194820404,
0.017083026468753815,
0.018727922812104225,
-0.08283548057079315,
-0.01783885434269905,
-0.0848136767745018,
-0.027915744110941887,
-0.01780407689511776,
-0.043991800397634506,
-0.001373062958009541,
-0.0710943415760994,
0.010132591240108013,
0.05602511018514633,
0.03136533498764038,
-0.0012990403920412064,
0.09306957572698593,
-0.04475430026650429,
-0.10469558835029602
] | null | null | null | null | null | null | null |
[
-0.03821277245879173,
-0.10337213426828384,
-0.06923417001962662,
0.031139293685555458,
0.08649112284183502,
-0.07601232826709747,
-0.008862546645104885,
-0.10977577418088913,
-0.002106602769345045,
-0.020152689889073372,
0.054502177983522415,
-0.03168674185872078,
0.037358131259679794,
0.05109819397330284,
-0.019563082605600357,
0.01953146606683731,
0.07923448085784912,
-0.04321419075131416,
-0.024363921955227852,
-0.010831234976649284,
-0.04072760045528412,
0.013544432818889618,
-0.06462348997592926,
0.026652077212929726,
0.04838338494300842,
0.009965839795768261,
0.005304357036948204,
-0.012130480259656906,
-0.015653401613235474,
0.03612600639462471,
0.012648933567106724,
0.0761476457118988,
0.046587198972702026,
0.000016004996723495424,
0.0165163092315197,
0.03528496250510216,
0.08288264274597168,
0.04294580966234207,
0.03841175138950348,
0.055366989225149155,
0.07727912068367004,
0.019326910376548767,
0.023873446509242058,
0.03383525833487511,
-0.05721920356154442,
-0.032994404435157776,
-0.10386424511671066,
-0.020535925403237343,
-0.010997521691024303,
-0.0023755738511681557,
-0.004376284312456846,
0.022154705598950386,
-0.02181203104555607,
0.046834077686071396,
0.04208344966173172,
-0.06922375410795212,
-0.00030200002947822213,
-0.032221470028162,
0.05381123721599579,
-0.013612421229481697,
0.11018440872430801,
-0.03469255939126015,
-0.01599150337278843,
-0.05832289904356003,
-0.007516279350966215,
0.0880480706691742,
0.022236257791519165,
-0.005748628173023462,
0.07898091524839401,
0.008718199096620083,
0.00393580412492156,
0.03779833763837814,
-0.08599726855754852,
0.05589450150728226,
0.03289799764752388,
0.05433877184987068,
0.000011528496543178335,
-0.008479040116071701,
-0.015509012155234814,
-0.08354780822992325,
0.024754544720053673,
0.056787751615047455,
0.033619415014982224,
-0.0700978934764862,
0.08400595933198929,
0.04406911879777908,
-0.002739008516073227,
-0.07178953289985657,
0.002588114235550165,
0.01785261742770672,
-0.16409523785114288,
0.06665045768022537,
0.012939020060002804,
-0.01226669829338789,
0.024841299280524254,
0.042745441198349,
0.03954906016588211,
-0.05384218320250511,
0.06321008503437042,
0.1042071282863617,
-0.0329270213842392,
-0.049739040434360504,
0.01749541237950325,
0.008664458058774471,
0.023486502468585968,
0.03958214446902275,
-0.02497600018978119,
0.09779301285743713,
0.03978780657052994,
-0.04031522944569588,
-0.02166435867547989,
0.046393733471632004,
0.021794933825731277,
0.0019380556186661124,
0.04894596338272095,
-0.060557056218385696,
0.08941231667995453,
0.03439928591251373,
0.0018590842373669147,
0.05035906285047531,
0.04772023856639862,
-0.006445377599447966,
0.05532621592283249,
-0.032414235174655914,
0.09888708591461182,
0.012658038176596165,
-0.11756796389818192,
1.5533087044231327e-33,
0.07053743302822113,
0.07750052213668823,
0.0040442380122840405,
0.031223295256495476,
0.028469625860452652,
-0.027252325788140297,
-0.12884585559368134,
0.004391572903841734,
0.032884031534194946,
0.05077212303876877,
-0.04800276458263397,
0.08387139439582825,
0.010487520135939121,
-0.032461248338222504,
0.04176739975810051,
0.034176915884017944,
0.030967378988862038,
-0.006106346845626831,
0.025349577888846397,
-0.1040770560503006,
0.0008743553189560771,
-0.06305626034736633,
0.03522110357880592,
0.021307528018951416,
0.03410409018397331,
0.0021999417804181576,
0.02640967071056366,
-0.01145551074296236,
0.054421499371528625,
0.013018133118748665,
-0.019806060940027237,
0.04804610833525658,
0.04140903055667877,
0.036419596523046494,
-0.03407059609889984,
-0.05446336045861244,
0.052770670503377914,
-0.05925469845533371,
-0.010308001190423965,
-0.10280833393335342,
-0.027287151664495468,
0.017833612859249115,
-0.0312560610473156,
-0.06861747801303864,
-0.02729838341474533,
0.03378351032733917,
-0.009133628569543362,
-0.0343845933675766,
-0.0027473054360598326,
-0.033870041370391846,
0.019937945529818535,
-0.05326062813401222,
0.01849251613020897,
0.08992987871170044,
-0.09507643431425095,
0.01508067362010479,
0.025896677747368813,
0.03307688236236572,
0.09456662088632584,
0.05431424826383591,
0.04974889010190964,
-0.04029187560081482,
-0.01618732139468193,
0.01814132370054722,
0.012027380056679249,
-0.013967090286314487,
-0.041412461549043655,
0.054669301956892014,
0.02011272683739662,
-0.003874692600220442,
0.014567984268069267,
0.06122932955622673,
0.005259993951767683,
-0.04266275465488434,
-0.06558511406183243,
-0.0398404598236084,
-0.04362965002655983,
-0.0015438066329807043,
-0.07031593471765518,
0.09881860762834549,
-0.04336714744567871,
-0.0748903676867485,
0.013275635428726673,
-0.07574571669101715,
-0.07893335074186325,
-0.000055321972467936575,
-0.008284570649266243,
-0.08083649724721909,
-0.0348958745598793,
-0.03386121988296509,
-0.06832525879144669,
0.046542588621377945,
0.011584775522351265,
0.002916218712925911,
0.01637694425880909,
-1.95455176246182e-33,
-0.03854846581816673,
0.10204767435789108,
0.013553837314248085,
-0.00626616645604372,
0.04420441389083862,
-0.140602245926857,
-0.009923668578267097,
0.008000658825039864,
-0.030725782737135887,
0.004859833512455225,
0.00467086723074317,
-0.08000947535037994,
0.011234676465392113,
-0.007751883938908577,
0.005892117973417044,
0.012338207103312016,
0.015179375186562538,
0.01322879083454609,
-0.06981366872787476,
0.019474545493721962,
-0.0414193719625473,
-0.010442513041198254,
-0.07395923137664795,
-0.043855078518390656,
0.10602308809757233,
0.019056536257267,
-0.06411127001047134,
-0.02851446531713009,
-0.03406393155455589,
-0.026824258267879486,
-0.10514074563980103,
0.08841937780380249,
-0.07209395617246628,
-0.04256666824221611,
0.017758416011929512,
0.0751180425286293,
-0.006252793595194817,
-0.04520796984434128,
-0.020097089931368828,
0.001366445329040289,
-0.03770860284566879,
0.09177066385746002,
-0.058675482869148254,
0.007869398221373558,
-0.02082117088139057,
0.019180526956915855,
0.035625558346509933,
0.10476455092430115,
-0.05537138134241104,
-0.016740038990974426,
0.02747872844338417,
0.05798453465104103,
0.056793879717588425,
0.07965290546417236,
-0.015864454209804535,
0.04896166920661926,
0.06017598509788513,
0.07030785828828812,
-0.005025368649512529,
0.04231957346200943,
-0.010400567203760147,
-0.10023640096187592,
-0.13404712080955505,
-0.005186269525438547,
0.008329205214977264,
-0.011500166729092598,
0.0028113063890486956,
-0.04930168390274048,
0.026725569739937782,
0.08165992051362991,
0.06413209438323975,
-0.011311023496091366,
-0.0975610539317131,
-0.009035727940499783,
0.03080999292433262,
0.008200839161872864,
0.025429904460906982,
-0.024903278797864914,
-0.012780793942511082,
0.017404519021511078,
-0.022799041122198105,
-0.043126292526721954,
0.041957102715969086,
0.0016592807369306684,
0.0393710732460022,
0.07439012080430984,
-0.021725447848439217,
-0.02241305261850357,
-0.02063290774822235,
-0.0025252557825297117,
-0.0018312964821234345,
-0.08040249347686768,
-0.06275338679552078,
-0.0008279760950244963,
0.025337353348731995,
-4.1668240413628155e-8,
-0.1398957222700119,
-0.023976752534508705,
-0.09471426159143448,
-0.1333559900522232,
0.10850577801465988,
0.020142514258623123,
0.02238011546432972,
0.057711102068424225,
0.028174305334687233,
0.029407385736703873,
0.059654898941516876,
-0.04847383499145508,
-0.07036533951759338,
-0.022818362340331078,
-0.031496770679950714,
-0.03377377986907959,
-0.0342399999499321,
0.0032955887727439404,
-0.02225988730788231,
0.005580151919275522,
-0.01132600475102663,
-0.005127119831740856,
-0.01308972854167223,
0.08056838810443878,
0.01995953731238842,
-0.11466167867183685,
-0.05060242488980293,
0.026510313153266907,
0.015431859530508518,
-0.0031734362710267305,
-0.04890371486544609,
-0.007415532600134611,
0.045483194291591644,
0.00405137799680233,
0.0037834071554243565,
0.14518417418003082,
0.06470062583684921,
0.01402625534683466,
-0.05539098381996155,
0.060044627636671066,
0.01610643044114113,
0.024174928665161133,
-0.051006022840738297,
0.011497997678816319,
-0.0033552253153175116,
0.07676946371793747,
0.06021641194820404,
0.017083026468753815,
0.018727922812104225,
-0.08283548057079315,
-0.01783885434269905,
-0.0848136767745018,
-0.027915744110941887,
-0.01780407689511776,
-0.043991800397634506,
-0.001373062958009541,
-0.0710943415760994,
0.010132591240108013,
0.05602511018514633,
0.03136533498764038,
-0.0012990403920412064,
0.09306957572698593,
-0.04475430026650429,
-0.10469558835029602
] |
1401.7709
|
Deepayan Chakrabarti
|
Deepayan Chakrabarti, Stanislav Funiak, Jonathan Chang, Sofus A.
Macskassy
|
Joint Inference of Multiple Label Types in Large Networks
| null | null | null | null |
cs.LG cs.SI stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We tackle the problem of inferring node labels in a partially labeled graph
where each node in the graph has multiple label types and each label type has a
large number of possible labels. Our primary example, and the focus of this
paper, is the joint inference of label types such as hometown, current city,
and employers, for users connected by a social network. Standard label
propagation fails to consider the properties of the label types and the
interactions between them. Our proposed method, called EdgeExplain, explicitly
models these, while still enabling scalable inference under a distributed
message-passing architecture. On a billion-node subset of the Facebook social
network, EdgeExplain significantly outperforms label propagation for several
label types, with lifts of up to 120% for recall@1 and 60% for recall@3.
|
[
{
"created": "Thu, 30 Jan 2014 00:38:53 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Chakrabarti",
"Deepayan",
""
],
[
"Funiak",
"Stanislav",
""
],
[
"Chang",
"Jonathan",
""
],
[
"Macskassy",
"Sofus A.",
""
]
] |
[
-0.029312942177057266,
-0.028203919529914856,
-0.025686023756861687,
0.04327506944537163,
0.10541532933712006,
0.03812409192323685,
0.002772183623164892,
-0.022963184863328934,
-0.06615303456783295,
-0.08438380807638168,
0.02583223581314087,
-0.007556340657174587,
0.04705507308244705,
0.020405065268278122,
0.024378925561904907,
0.064201720058918,
0.10516064614057541,
0.059872087091207504,
-0.005696295760571957,
-0.095687136054039,
-0.06494180113077164,
-0.0024393016938120127,
0.05326066166162491,
0.025811782106757164,
0.04736211895942688,
-0.014146805740892887,
-0.05962887406349182,
0.003963445778936148,
0.06548585742712021,
0.015729622915387154,
0.09651805460453033,
0.08535850793123245,
-0.08157873153686523,
0.03309538587927818,
0.004404751118272543,
-0.0023410406429320574,
-0.0585494227707386,
0.011966229416429996,
0.05689067393541336,
0.003773848759010434,
0.05880654975771904,
0.02377922460436821,
-0.0065944320522248745,
0.029735302552580833,
-0.006459277588874102,
0.11723741143941879,
0.010292386636137962,
0.03339080139994621,
-0.04540311545133591,
0.06940331310033798,
-0.026577545329928398,
-0.030453119426965714,
-0.0404161736369133,
0.06154735013842583,
-0.07125333696603775,
0.006444873753935099,
0.026397651061415672,
-0.03432643786072731,
-0.0141175901517272,
0.11242178827524185,
0.009479040279984474,
-0.1203756257891655,
-0.028637589886784554,
-0.0233665369451046,
-0.047972172498703,
0.039552439004182816,
0.01619805209338665,
0.04278397187590599,
-0.07664871215820312,
0.0036998623982071877,
0.08778427541255951,
0.0676262155175209,
-0.09070438891649246,
0.08175573498010635,
0.016740335151553154,
-0.03479701653122902,
-0.015054933726787567,
-0.05477670952677727,
-0.029977839440107346,
-0.000002489243570380495,
-0.052666131407022476,
-0.025789713487029076,
-0.04451829195022583,
-0.034585971385240555,
0.09013035893440247,
0.016130365431308746,
0.00047515699407085776,
-0.028389662504196167,
-0.07520148903131485,
0.11066686362028122,
-0.057537492364645004,
-0.037679124623537064,
-0.012860430404543877,
-0.01639212667942047,
-0.036661989986896515,
0.00878472626209259,
-0.01066549587994814,
-0.02153608947992325,
-0.011992599815130234,
0.08149470388889313,
-0.08421916514635086,
0.02102023735642433,
0.035760439932346344,
-0.11454508453607559,
0.07060647010803223,
0.05176221951842308,
0.017133060842752457,
0.031758006662130356,
0.056593991816043854,
-0.003086523851379752,
-0.0009714976185932755,
0.06546857208013535,
-0.04072335734963417,
0.055859070271253586,
0.024379976093769073,
-0.059542443603277206,
0.0534650981426239,
-0.01856391690671444,
0.06333426386117935,
0.00432937778532505,
-0.05473344773054123,
0.04091545566916466,
0.026718109846115112,
-0.0651385635137558,
-0.017907414585351944,
0.009752997197210789,
-0.03856927156448364,
1.1997674826473023e-33,
0.10057251900434494,
0.04428631439805031,
0.03480406478047371,
0.021927470341324806,
-0.008869520388543606,
0.03217156603932381,
-0.1335945874452591,
-0.007973401807248592,
-0.022314827889204025,
-0.04482390731573105,
0.020010076463222504,
-0.026215296238660812,
0.028259973973035812,
0.03863190487027168,
0.04662735015153885,
-0.03745861351490021,
0.019038254395127296,
0.06583458930253983,
-0.00899934209883213,
-0.017087310552597046,
0.030295521020889282,
-0.03954990953207016,
-0.002327144844457507,
0.038497548550367355,
-0.0004618368111550808,
-0.008797764778137207,
-0.017566179856657982,
0.0818297490477562,
0.13442429900169373,
-0.011988922953605652,
-0.07442991435527802,
0.047502174973487854,
0.0960000678896904,
0.08324360102415085,
0.01797816902399063,
0.0638577789068222,
0.006892384495586157,
-0.0558568611741066,
0.009775863960385323,
-0.04778663441538811,
-0.03715822845697403,
0.06514493376016617,
0.06408607959747314,
-0.09875833243131638,
-0.054677706211805344,
-0.07484722137451172,
-0.06850957870483398,
-0.030626023188233376,
-0.007175888400524855,
-0.007980025373399258,
0.05151275172829628,
-0.06790889799594879,
-0.009970375336706638,
0.08636941760778427,
-0.02437928505241871,
-0.024320362135767937,
0.0031108418479561806,
0.05964329466223717,
0.015707796439528465,
0.08513201028108597,
0.029120340943336487,
-0.024196794256567955,
0.043533533811569214,
0.04923206940293312,
0.03415868058800697,
0.05655018612742424,
-0.06477287411689758,
0.038140762597322464,
0.047756377607584,
-0.0467095710337162,
0.028061510995030403,
0.068077951669693,
-0.061665695160627365,
-0.02368163876235485,
-0.009334610775113106,
0.04038579761981964,
-0.10162565857172012,
-0.0818471685051918,
-0.0022331280633807182,
0.0231864545494318,
-0.04815978556871414,
-0.08050581812858582,
0.0445430725812912,
0.055068038403987885,
0.02390449121594429,
0.05895356833934784,
0.019593603909015656,
-0.07584527879953384,
0.005915097892284393,
0.05981118977069855,
-0.03540582209825516,
0.011854699812829494,
0.0005168368224985898,
0.013167084194719791,
-0.015185878612101078,
8.193017693957538e-35,
-0.09541003406047821,
0.08663702756166458,
0.05935012176632881,
0.002012077486142516,
0.004956190474331379,
-0.06267654895782471,
0.03614019975066185,
0.02345055714249611,
-0.03948715329170227,
-0.01145141664892435,
-0.05295794457197189,
-0.05708988010883331,
0.011317749507725239,
-0.019434360787272453,
-0.03421459347009659,
-0.023095641285181046,
0.046833284199237823,
-0.022677963599562645,
-0.013938169926404953,
0.0253240205347538,
-0.009572246111929417,
0.02258419431746006,
-0.007408392149955034,
0.02058609388768673,
0.07611607760190964,
0.0497032105922699,
0.0040697562508285046,
0.032465338706970215,
0.02657889947295189,
-0.05943792313337326,
-0.06086443364620209,
-0.01828247681260109,
0.016086384654045105,
-0.0967002734541893,
-0.01138481218367815,
0.04661111161112785,
0.026181776076555252,
0.019165007397532463,
-0.024002941325306892,
-0.0007577870273962617,
0.00010284073505317792,
-0.016592152416706085,
-0.1449478715658188,
0.018145877867937088,
-0.06810269504785538,
0.03259838744997978,
-0.08633977919816971,
0.03039613552391529,
-0.06442418694496155,
0.004848370794206858,
-0.06018213555216789,
0.0288474652916193,
-0.025457821786403656,
0.03636770695447922,
-0.04669102653861046,
-0.16192984580993652,
-0.031146738678216934,
0.03789585083723068,
-0.02008584514260292,
-0.015451724641025066,
-0.07894930243492126,
0.03323690965771675,
-0.005351970437914133,
0.0275687538087368,
0.03689014911651611,
-0.11292517185211182,
0.011404143646359444,
-0.03838982433080673,
-0.05655398592352867,
0.07221817970275879,
0.16058380901813507,
0.06749045848846436,
-0.12926575541496277,
-0.011819311417639256,
-0.000014813929738011211,
-0.01590832881629467,
0.04796794056892395,
0.028809985145926476,
-0.01063254103064537,
0.001353718456812203,
0.0179984699934721,
0.011949019506573677,
0.005692432634532452,
0.030612124130129814,
0.08179500699043274,
-0.045060764998197556,
0.026873793452978134,
0.048325881361961365,
0.008002562448382378,
0.03669287636876106,
-0.022451277822256088,
0.023407725617289543,
-0.06929102540016174,
0.05105362460017204,
-0.07462423294782639,
-3.657994795958075e-8,
-0.15752023458480835,
0.03315184265375137,
-0.07042448967695236,
0.04358278214931488,
0.04253435507416725,
0.054958999156951904,
0.09297821670770645,
0.11188672482967377,
-0.034389764070510864,
0.0560595728456974,
-0.022195259109139442,
0.0009988719830289483,
-0.023454779759049416,
-0.024838479235768318,
-0.041173312813043594,
-0.011164364404976368,
0.01978275366127491,
0.004488625563681126,
0.03811681270599365,
0.03473535180091858,
-0.00777013786137104,
-0.025044605135917664,
0.014236613176763058,
0.026647277176380157,
0.05752766504883766,
-0.08294690400362015,
-0.003040167735889554,
0.08366528898477554,
0.06867336481809616,
0.07162229716777802,
-0.09493999183177948,
0.0024419038090854883,
-0.02151944302022457,
-0.04131094366312027,
0.008975621312856674,
0.10457546263933182,
-0.011618774384260178,
-0.015456165187060833,
0.014421490021049976,
-0.009036987088620663,
0.0037427558563649654,
0.0066500939428806305,
-0.07122143357992172,
-0.009243633598089218,
0.021629203110933304,
0.030839864164590836,
0.06943746656179428,
0.0004224844160489738,
0.030990175902843475,
-0.03532829135656357,
-0.06067923083901405,
-0.023547757416963577,
-0.022242382168769836,
-0.014016978442668915,
0.018041377887129784,
0.02107732929289341,
-0.04093058034777641,
-0.013713948428630829,
0.03392983227968216,
0.013868832029402256,
0.023596733808517456,
-0.030854640528559685,
-0.07245385646820068,
0.013047936372458935
] | null | null | null | null | null | null | null |
[
-0.029312942177057266,
-0.028203919529914856,
-0.025686023756861687,
0.04327506944537163,
0.10541532933712006,
0.03812409192323685,
0.002772183623164892,
-0.022963184863328934,
-0.06615303456783295,
-0.08438380807638168,
0.02583223581314087,
-0.007556340657174587,
0.04705507308244705,
0.020405065268278122,
0.024378925561904907,
0.064201720058918,
0.10516064614057541,
0.059872087091207504,
-0.005696295760571957,
-0.095687136054039,
-0.06494180113077164,
-0.0024393016938120127,
0.05326066166162491,
0.025811782106757164,
0.04736211895942688,
-0.014146805740892887,
-0.05962887406349182,
0.003963445778936148,
0.06548585742712021,
0.015729622915387154,
0.09651805460453033,
0.08535850793123245,
-0.08157873153686523,
0.03309538587927818,
0.004404751118272543,
-0.0023410406429320574,
-0.0585494227707386,
0.011966229416429996,
0.05689067393541336,
0.003773848759010434,
0.05880654975771904,
0.02377922460436821,
-0.0065944320522248745,
0.029735302552580833,
-0.006459277588874102,
0.11723741143941879,
0.010292386636137962,
0.03339080139994621,
-0.04540311545133591,
0.06940331310033798,
-0.026577545329928398,
-0.030453119426965714,
-0.0404161736369133,
0.06154735013842583,
-0.07125333696603775,
0.006444873753935099,
0.026397651061415672,
-0.03432643786072731,
-0.0141175901517272,
0.11242178827524185,
0.009479040279984474,
-0.1203756257891655,
-0.028637589886784554,
-0.0233665369451046,
-0.047972172498703,
0.039552439004182816,
0.01619805209338665,
0.04278397187590599,
-0.07664871215820312,
0.0036998623982071877,
0.08778427541255951,
0.0676262155175209,
-0.09070438891649246,
0.08175573498010635,
0.016740335151553154,
-0.03479701653122902,
-0.015054933726787567,
-0.05477670952677727,
-0.029977839440107346,
-0.000002489243570380495,
-0.052666131407022476,
-0.025789713487029076,
-0.04451829195022583,
-0.034585971385240555,
0.09013035893440247,
0.016130365431308746,
0.00047515699407085776,
-0.028389662504196167,
-0.07520148903131485,
0.11066686362028122,
-0.057537492364645004,
-0.037679124623537064,
-0.012860430404543877,
-0.01639212667942047,
-0.036661989986896515,
0.00878472626209259,
-0.01066549587994814,
-0.02153608947992325,
-0.011992599815130234,
0.08149470388889313,
-0.08421916514635086,
0.02102023735642433,
0.035760439932346344,
-0.11454508453607559,
0.07060647010803223,
0.05176221951842308,
0.017133060842752457,
0.031758006662130356,
0.056593991816043854,
-0.003086523851379752,
-0.0009714976185932755,
0.06546857208013535,
-0.04072335734963417,
0.055859070271253586,
0.024379976093769073,
-0.059542443603277206,
0.0534650981426239,
-0.01856391690671444,
0.06333426386117935,
0.00432937778532505,
-0.05473344773054123,
0.04091545566916466,
0.026718109846115112,
-0.0651385635137558,
-0.017907414585351944,
0.009752997197210789,
-0.03856927156448364,
1.1997674826473023e-33,
0.10057251900434494,
0.04428631439805031,
0.03480406478047371,
0.021927470341324806,
-0.008869520388543606,
0.03217156603932381,
-0.1335945874452591,
-0.007973401807248592,
-0.022314827889204025,
-0.04482390731573105,
0.020010076463222504,
-0.026215296238660812,
0.028259973973035812,
0.03863190487027168,
0.04662735015153885,
-0.03745861351490021,
0.019038254395127296,
0.06583458930253983,
-0.00899934209883213,
-0.017087310552597046,
0.030295521020889282,
-0.03954990953207016,
-0.002327144844457507,
0.038497548550367355,
-0.0004618368111550808,
-0.008797764778137207,
-0.017566179856657982,
0.0818297490477562,
0.13442429900169373,
-0.011988922953605652,
-0.07442991435527802,
0.047502174973487854,
0.0960000678896904,
0.08324360102415085,
0.01797816902399063,
0.0638577789068222,
0.006892384495586157,
-0.0558568611741066,
0.009775863960385323,
-0.04778663441538811,
-0.03715822845697403,
0.06514493376016617,
0.06408607959747314,
-0.09875833243131638,
-0.054677706211805344,
-0.07484722137451172,
-0.06850957870483398,
-0.030626023188233376,
-0.007175888400524855,
-0.007980025373399258,
0.05151275172829628,
-0.06790889799594879,
-0.009970375336706638,
0.08636941760778427,
-0.02437928505241871,
-0.024320362135767937,
0.0031108418479561806,
0.05964329466223717,
0.015707796439528465,
0.08513201028108597,
0.029120340943336487,
-0.024196794256567955,
0.043533533811569214,
0.04923206940293312,
0.03415868058800697,
0.05655018612742424,
-0.06477287411689758,
0.038140762597322464,
0.047756377607584,
-0.0467095710337162,
0.028061510995030403,
0.068077951669693,
-0.061665695160627365,
-0.02368163876235485,
-0.009334610775113106,
0.04038579761981964,
-0.10162565857172012,
-0.0818471685051918,
-0.0022331280633807182,
0.0231864545494318,
-0.04815978556871414,
-0.08050581812858582,
0.0445430725812912,
0.055068038403987885,
0.02390449121594429,
0.05895356833934784,
0.019593603909015656,
-0.07584527879953384,
0.005915097892284393,
0.05981118977069855,
-0.03540582209825516,
0.011854699812829494,
0.0005168368224985898,
0.013167084194719791,
-0.015185878612101078,
8.193017693957538e-35,
-0.09541003406047821,
0.08663702756166458,
0.05935012176632881,
0.002012077486142516,
0.004956190474331379,
-0.06267654895782471,
0.03614019975066185,
0.02345055714249611,
-0.03948715329170227,
-0.01145141664892435,
-0.05295794457197189,
-0.05708988010883331,
0.011317749507725239,
-0.019434360787272453,
-0.03421459347009659,
-0.023095641285181046,
0.046833284199237823,
-0.022677963599562645,
-0.013938169926404953,
0.0253240205347538,
-0.009572246111929417,
0.02258419431746006,
-0.007408392149955034,
0.02058609388768673,
0.07611607760190964,
0.0497032105922699,
0.0040697562508285046,
0.032465338706970215,
0.02657889947295189,
-0.05943792313337326,
-0.06086443364620209,
-0.01828247681260109,
0.016086384654045105,
-0.0967002734541893,
-0.01138481218367815,
0.04661111161112785,
0.026181776076555252,
0.019165007397532463,
-0.024002941325306892,
-0.0007577870273962617,
0.00010284073505317792,
-0.016592152416706085,
-0.1449478715658188,
0.018145877867937088,
-0.06810269504785538,
0.03259838744997978,
-0.08633977919816971,
0.03039613552391529,
-0.06442418694496155,
0.004848370794206858,
-0.06018213555216789,
0.0288474652916193,
-0.025457821786403656,
0.03636770695447922,
-0.04669102653861046,
-0.16192984580993652,
-0.031146738678216934,
0.03789585083723068,
-0.02008584514260292,
-0.015451724641025066,
-0.07894930243492126,
0.03323690965771675,
-0.005351970437914133,
0.0275687538087368,
0.03689014911651611,
-0.11292517185211182,
0.011404143646359444,
-0.03838982433080673,
-0.05655398592352867,
0.07221817970275879,
0.16058380901813507,
0.06749045848846436,
-0.12926575541496277,
-0.011819311417639256,
-0.000014813929738011211,
-0.01590832881629467,
0.04796794056892395,
0.028809985145926476,
-0.01063254103064537,
0.001353718456812203,
0.0179984699934721,
0.011949019506573677,
0.005692432634532452,
0.030612124130129814,
0.08179500699043274,
-0.045060764998197556,
0.026873793452978134,
0.048325881361961365,
0.008002562448382378,
0.03669287636876106,
-0.022451277822256088,
0.023407725617289543,
-0.06929102540016174,
0.05105362460017204,
-0.07462423294782639,
-3.657994795958075e-8,
-0.15752023458480835,
0.03315184265375137,
-0.07042448967695236,
0.04358278214931488,
0.04253435507416725,
0.054958999156951904,
0.09297821670770645,
0.11188672482967377,
-0.034389764070510864,
0.0560595728456974,
-0.022195259109139442,
0.0009988719830289483,
-0.023454779759049416,
-0.024838479235768318,
-0.041173312813043594,
-0.011164364404976368,
0.01978275366127491,
0.004488625563681126,
0.03811681270599365,
0.03473535180091858,
-0.00777013786137104,
-0.025044605135917664,
0.014236613176763058,
0.026647277176380157,
0.05752766504883766,
-0.08294690400362015,
-0.003040167735889554,
0.08366528898477554,
0.06867336481809616,
0.07162229716777802,
-0.09493999183177948,
0.0024419038090854883,
-0.02151944302022457,
-0.04131094366312027,
0.008975621312856674,
0.10457546263933182,
-0.011618774384260178,
-0.015456165187060833,
0.014421490021049976,
-0.009036987088620663,
0.0037427558563649654,
0.0066500939428806305,
-0.07122143357992172,
-0.009243633598089218,
0.021629203110933304,
0.030839864164590836,
0.06943746656179428,
0.0004224844160489738,
0.030990175902843475,
-0.03532829135656357,
-0.06067923083901405,
-0.023547757416963577,
-0.022242382168769836,
-0.014016978442668915,
0.018041377887129784,
0.02107732929289341,
-0.04093058034777641,
-0.013713948428630829,
0.03392983227968216,
0.013868832029402256,
0.023596733808517456,
-0.030854640528559685,
-0.07245385646820068,
0.013047936372458935
] |
1401.7713
|
Lingqiao Liu
|
Lingqiao Liu, Lei Wang, Chunhua Shen
|
A Generalized Probabilistic Framework for Compact Codebook Creation
| null | null | null | null |
cs.CV
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compact and discriminative visual codebooks are preferred in many visual
recognition tasks. In the literature, a number of works have taken the approach
of hierarchically merging visual words of an initial large-sized codebook, but
implemented this approach with different merging criteria. In this work, we
propose a single probabilistic framework to unify these merging criteria, by
identifying two key factors: the function used to model class-conditional
distribution and the method used to estimate the distribution parameters. More
importantly, by adopting new distribution functions and/or parameter estimation
methods, our framework can readily produce a spectrum of novel merging
criteria. Three of them are specifically focused in this work. In the first
criterion, we adopt the multinomial distribution with Bayesian method; In the
second criterion, we integrate Gaussian distribution with maximum likelihood
parameter estimation. In the third criterion, which shows the best merging
performance, we propose a max-margin-based parameter estimation method and
apply it with multinomial distribution. Extensive experimental study is
conducted to systematically analyse the performance of the above three criteria
and compare them with existing ones. As demonstrated, the best criterion
obtained in our framework achieves the overall best merging performance among
the comparable merging criteria developed in the literature.
|
[
{
"created": "Thu, 30 Jan 2014 01:02:50 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Liu",
"Lingqiao",
""
],
[
"Wang",
"Lei",
""
],
[
"Shen",
"Chunhua",
""
]
] |
[
0.0017842445522546768,
-0.12254137545824051,
-0.04012596979737282,
-0.07950494438409805,
0.009171822108328342,
0.08755210787057877,
-0.0027870391495525837,
0.0016262737335637212,
0.024505725130438805,
-0.05285284295678139,
0.04214868322014809,
-0.026019902899861336,
0.050150297582149506,
0.01310039684176445,
-0.06592721492052078,
0.005470395088195801,
0.04393086954951286,
0.07531733065843582,
-0.11509066075086594,
-0.02928869053721428,
0.04004049301147461,
0.006380955222994089,
-0.009888184256851673,
-0.1039317399263382,
0.08985554426908493,
0.10477229952812195,
0.04993145912885666,
0.005454223603010178,
-0.06474065035581589,
0.04263326898217201,
-0.013478905893862247,
0.046007949858903885,
0.09082336723804474,
0.05926826223731041,
0.0008483600104227662,
0.008451824076473713,
-0.09475782513618469,
0.04385187476873398,
0.039849117398262024,
0.06424475461244583,
-0.10871976613998413,
-0.002348135458305478,
0.011926579289138317,
0.033281538635492325,
0.06622594594955444,
0.006623241119086742,
-0.05569322407245636,
-0.027606384828686714,
0.07474013417959213,
-0.013809316791594028,
-0.03208174556493759,
0.006474483758211136,
-0.024363573640584946,
0.05309048295021057,
-0.03803996369242668,
-0.043802108615636826,
0.03223620355129242,
-0.12475278973579407,
0.005509458016604185,
0.06757548451423645,
-0.03697449713945389,
-0.03069428540766239,
0.020501157268881798,
0.05276425927877426,
0.060379695147275925,
0.020334938541054726,
0.00631809001788497,
-0.0002889590978156775,
-0.05526219680905342,
0.026000212877988815,
-0.059855926781892776,
0.11963129788637161,
-0.06457354873418808,
0.024812156334519386,
-0.08839523792266846,
0.024600178003311157,
-0.004613179247826338,
-0.07835322618484497,
0.03830629214644432,
-0.10319782793521881,
-0.038689229637384415,
0.02497740089893341,
0.03512110188603401,
-0.04070921242237091,
0.2008366584777832,
0.07018783688545227,
-0.07456401735544205,
0.07366199046373367,
0.004805499222129583,
0.04360896721482277,
-0.0674879178404808,
-0.00562052708119154,
-0.002635764190927148,
-0.007904238998889923,
-0.0847751721739769,
-0.026779739186167717,
-0.026471344754099846,
-0.0690617561340332,
0.05732814222574234,
0.014933670870959759,
-0.06282371282577515,
-0.053006481379270554,
0.08676484227180481,
-0.07087966054677963,
-0.052848052233457565,
-0.03914611414074898,
0.0836605578660965,
0.009824339300394058,
0.08038312196731567,
-0.10021309554576874,
0.009321522898972034,
-0.030482180416584015,
-0.037844765931367874,
-0.00933078397065401,
-0.0795598179101944,
0.020082838833332062,
0.05114958807826042,
0.03248419985175133,
0.027987029403448105,
0.005743030924350023,
-0.010351564735174179,
0.013141819275915623,
-0.01760205812752247,
-0.03533947095274925,
-0.0019269493641331792,
-0.015191040933132172,
0.04430161044001579,
2.2872126229826964e-33,
-0.0013258683029562235,
-0.015500933863222599,
0.019803032279014587,
0.038130708038806915,
0.08179453760385513,
0.0074879880994558334,
-0.0691651999950409,
-0.019028693437576294,
-0.017353426665067673,
0.04576389491558075,
0.005756058730185032,
0.025022555142641068,
-0.05540620908141136,
0.0660063698887825,
-0.0057961829006671906,
0.07166134566068649,
-0.038548823446035385,
0.06682205945253372,
-0.06642346829175949,
0.05188260227441788,
0.00619835639372468,
0.02269635535776615,
0.06143014505505562,
0.016992460936307907,
-0.007904100231826305,
0.031545765697956085,
0.08256646245718002,
-0.008977013640105724,
0.027669109404087067,
0.0017264802008867264,
-0.065645731985569,
-0.01988876983523369,
0.004597502760589123,
-0.07722123712301254,
0.04360191151499748,
-0.026385435834527016,
-0.020059751346707344,
0.008964364416897297,
0.0029018388595432043,
-0.0036781802773475647,
-0.0760943815112114,
0.02583526074886322,
0.03123757615685463,
-0.044762518256902695,
-0.030620815232396126,
-0.022905727848410606,
0.024118375033140182,
0.050725147128105164,
0.03198607265949249,
-0.02636699005961418,
0.01239173673093319,
-0.05421549826860428,
0.05745859816670418,
-0.03781700134277344,
-0.053851138800382614,
0.008680205792188644,
-0.030818959698081017,
0.06817389279603958,
-0.015424109995365143,
-0.003609404433518648,
-0.04327116161584854,
0.04496854916214943,
-0.010228040628135204,
0.022342421114444733,
0.08728379756212234,
0.02336578071117401,
-0.010568429715931416,
0.03559032827615738,
0.03162837401032448,
0.01713157445192337,
0.06327565014362335,
-0.012374280951917171,
-0.021515514701604843,
-0.03561326488852501,
-0.0020638995338231325,
0.04672609269618988,
0.00970609299838543,
-0.0043622287921607494,
0.02112143486738205,
-0.018472351133823395,
-0.04859155789017677,
-0.04384390637278557,
0.10584374517202377,
-0.07937034964561462,
-0.011677316389977932,
0.04073115065693855,
0.02761746570467949,
-0.031199350953102112,
-0.055986739695072174,
-0.016200708225369453,
-0.07964689284563065,
0.057208169251680374,
-0.030849948525428772,
-0.025365207344293594,
0.09398146718740463,
-3.6759170371311766e-33,
-0.023128382861614227,
0.02819693833589554,
0.06818914413452148,
-0.00936844665557146,
-0.06196749955415726,
-0.009657156653702259,
0.009008637629449368,
-0.007833655923604965,
-0.07378257811069489,
-0.0572613887488842,
-0.013074883259832859,
-0.004729706794023514,
-0.06632689386606216,
-0.045449260622262955,
0.019358661025762558,
0.05582789331674576,
-0.031257592141628265,
0.1346116065979004,
-0.025299575179815292,
-0.03565497696399689,
0.0030216192826628685,
0.07331369817256927,
-0.025805791839957237,
-0.004331613425165415,
0.0054873148910701275,
-0.006683253683149815,
-0.038726672530174255,
0.007305821403861046,
-0.02107975259423256,
-0.02948867715895176,
0.020008612424135208,
-0.016811106353998184,
-0.06499812752008438,
0.035230252891778946,
-0.0523531511425972,
-0.013242035172879696,
0.009585686959326267,
-0.08683107048273087,
-0.028337452560663223,
0.12637625634670258,
-0.0009567647939547896,
0.01678338833153248,
-0.0725666806101799,
-0.05815403535962105,
-0.015712840482592583,
-0.0651712492108345,
-0.020408838987350464,
0.004720812197774649,
0.03166951984167099,
0.006318417843431234,
-0.0763106420636177,
0.07461702823638916,
-0.08079644292593002,
0.07881639152765274,
-0.029578251764178276,
-0.03825811669230461,
-0.0007749003707431257,
-0.07387588173151016,
0.0985802561044693,
-0.0318954773247242,
0.007880311459302902,
-0.0016223930288106203,
0.03843144327402115,
-0.03427831828594208,
0.02349882572889328,
-0.05387398228049278,
-0.004337092395871878,
0.06930254399776459,
-0.05599725618958473,
0.011012792587280273,
-0.019764937460422516,
0.008229446597397327,
0.020997576415538788,
0.01407961081713438,
-0.04869256168603897,
0.031099582090973854,
0.05060581490397453,
0.021617084741592407,
-0.02219194918870926,
-0.02887275442481041,
0.027398522943258286,
-0.12367475032806396,
0.0424688346683979,
0.08895754814147949,
0.01842394471168518,
0.0772944912314415,
0.01972072385251522,
-0.0732869803905487,
0.09323246031999588,
-0.05440688133239746,
-0.033527977764606476,
0.04029783979058266,
0.05226540192961693,
0.055367108434438705,
-0.11538767069578171,
-5.027852623129547e-8,
-0.03283008560538292,
0.05449920892715454,
-0.0683174580335617,
-0.10939968377351761,
0.0487469807267189,
-0.003306476166471839,
-0.03644286468625069,
0.1054948940873146,
0.025633445009589195,
-0.0629589781165123,
0.08166340738534927,
-0.05574076995253563,
-0.03698413074016571,
-0.03606327995657921,
0.019264284521341324,
0.042054224759340286,
-0.010027491487562656,
0.09867924451828003,
0.038487695157527924,
0.027078138664364815,
0.06984437257051468,
0.010891792364418507,
0.0010945673566311598,
0.04902493953704834,
-0.05952119454741478,
-0.030924824997782707,
-0.02626964822411537,
0.09072017669677734,
0.009980954229831696,
-0.012120841071009636,
0.0473298579454422,
0.07665567100048065,
-0.06313861906528473,
-0.019098332151770592,
0.027528904378414154,
-0.0010289604542776942,
0.009442364796996117,
-0.00575504032894969,
-0.015771320089697838,
0.03810390457510948,
0.03598201274871826,
-0.022360380738973618,
-0.07596641033887863,
0.053801462054252625,
0.10127296298742294,
-0.02350032888352871,
0.09578720480203629,
-0.11597584933042526,
0.02057742141187191,
0.05812661349773407,
-0.00332145974971354,
-0.008951690047979355,
-0.02863212861120701,
0.054116781800985336,
-0.0042302957735955715,
-0.0005820674705319107,
0.06614948809146881,
0.039546120911836624,
0.0230089258402586,
0.030706655234098434,
0.029526686295866966,
-0.027139367535710335,
-0.10902252793312073,
-0.0002180324518121779
] | null | null | null | null | null | null | null |
[
0.0017842445522546768,
-0.12254137545824051,
-0.04012596979737282,
-0.07950494438409805,
0.009171822108328342,
0.08755210787057877,
-0.0027870391495525837,
0.0016262737335637212,
0.024505725130438805,
-0.05285284295678139,
0.04214868322014809,
-0.026019902899861336,
0.050150297582149506,
0.01310039684176445,
-0.06592721492052078,
0.005470395088195801,
0.04393086954951286,
0.07531733065843582,
-0.11509066075086594,
-0.02928869053721428,
0.04004049301147461,
0.006380955222994089,
-0.009888184256851673,
-0.1039317399263382,
0.08985554426908493,
0.10477229952812195,
0.04993145912885666,
0.005454223603010178,
-0.06474065035581589,
0.04263326898217201,
-0.013478905893862247,
0.046007949858903885,
0.09082336723804474,
0.05926826223731041,
0.0008483600104227662,
0.008451824076473713,
-0.09475782513618469,
0.04385187476873398,
0.039849117398262024,
0.06424475461244583,
-0.10871976613998413,
-0.002348135458305478,
0.011926579289138317,
0.033281538635492325,
0.06622594594955444,
0.006623241119086742,
-0.05569322407245636,
-0.027606384828686714,
0.07474013417959213,
-0.013809316791594028,
-0.03208174556493759,
0.006474483758211136,
-0.024363573640584946,
0.05309048295021057,
-0.03803996369242668,
-0.043802108615636826,
0.03223620355129242,
-0.12475278973579407,
0.005509458016604185,
0.06757548451423645,
-0.03697449713945389,
-0.03069428540766239,
0.020501157268881798,
0.05276425927877426,
0.060379695147275925,
0.020334938541054726,
0.00631809001788497,
-0.0002889590978156775,
-0.05526219680905342,
0.026000212877988815,
-0.059855926781892776,
0.11963129788637161,
-0.06457354873418808,
0.024812156334519386,
-0.08839523792266846,
0.024600178003311157,
-0.004613179247826338,
-0.07835322618484497,
0.03830629214644432,
-0.10319782793521881,
-0.038689229637384415,
0.02497740089893341,
0.03512110188603401,
-0.04070921242237091,
0.2008366584777832,
0.07018783688545227,
-0.07456401735544205,
0.07366199046373367,
0.004805499222129583,
0.04360896721482277,
-0.0674879178404808,
-0.00562052708119154,
-0.002635764190927148,
-0.007904238998889923,
-0.0847751721739769,
-0.026779739186167717,
-0.026471344754099846,
-0.0690617561340332,
0.05732814222574234,
0.014933670870959759,
-0.06282371282577515,
-0.053006481379270554,
0.08676484227180481,
-0.07087966054677963,
-0.052848052233457565,
-0.03914611414074898,
0.0836605578660965,
0.009824339300394058,
0.08038312196731567,
-0.10021309554576874,
0.009321522898972034,
-0.030482180416584015,
-0.037844765931367874,
-0.00933078397065401,
-0.0795598179101944,
0.020082838833332062,
0.05114958807826042,
0.03248419985175133,
0.027987029403448105,
0.005743030924350023,
-0.010351564735174179,
0.013141819275915623,
-0.01760205812752247,
-0.03533947095274925,
-0.0019269493641331792,
-0.015191040933132172,
0.04430161044001579,
2.2872126229826964e-33,
-0.0013258683029562235,
-0.015500933863222599,
0.019803032279014587,
0.038130708038806915,
0.08179453760385513,
0.0074879880994558334,
-0.0691651999950409,
-0.019028693437576294,
-0.017353426665067673,
0.04576389491558075,
0.005756058730185032,
0.025022555142641068,
-0.05540620908141136,
0.0660063698887825,
-0.0057961829006671906,
0.07166134566068649,
-0.038548823446035385,
0.06682205945253372,
-0.06642346829175949,
0.05188260227441788,
0.00619835639372468,
0.02269635535776615,
0.06143014505505562,
0.016992460936307907,
-0.007904100231826305,
0.031545765697956085,
0.08256646245718002,
-0.008977013640105724,
0.027669109404087067,
0.0017264802008867264,
-0.065645731985569,
-0.01988876983523369,
0.004597502760589123,
-0.07722123712301254,
0.04360191151499748,
-0.026385435834527016,
-0.020059751346707344,
0.008964364416897297,
0.0029018388595432043,
-0.0036781802773475647,
-0.0760943815112114,
0.02583526074886322,
0.03123757615685463,
-0.044762518256902695,
-0.030620815232396126,
-0.022905727848410606,
0.024118375033140182,
0.050725147128105164,
0.03198607265949249,
-0.02636699005961418,
0.01239173673093319,
-0.05421549826860428,
0.05745859816670418,
-0.03781700134277344,
-0.053851138800382614,
0.008680205792188644,
-0.030818959698081017,
0.06817389279603958,
-0.015424109995365143,
-0.003609404433518648,
-0.04327116161584854,
0.04496854916214943,
-0.010228040628135204,
0.022342421114444733,
0.08728379756212234,
0.02336578071117401,
-0.010568429715931416,
0.03559032827615738,
0.03162837401032448,
0.01713157445192337,
0.06327565014362335,
-0.012374280951917171,
-0.021515514701604843,
-0.03561326488852501,
-0.0020638995338231325,
0.04672609269618988,
0.00970609299838543,
-0.0043622287921607494,
0.02112143486738205,
-0.018472351133823395,
-0.04859155789017677,
-0.04384390637278557,
0.10584374517202377,
-0.07937034964561462,
-0.011677316389977932,
0.04073115065693855,
0.02761746570467949,
-0.031199350953102112,
-0.055986739695072174,
-0.016200708225369453,
-0.07964689284563065,
0.057208169251680374,
-0.030849948525428772,
-0.025365207344293594,
0.09398146718740463,
-3.6759170371311766e-33,
-0.023128382861614227,
0.02819693833589554,
0.06818914413452148,
-0.00936844665557146,
-0.06196749955415726,
-0.009657156653702259,
0.009008637629449368,
-0.007833655923604965,
-0.07378257811069489,
-0.0572613887488842,
-0.013074883259832859,
-0.004729706794023514,
-0.06632689386606216,
-0.045449260622262955,
0.019358661025762558,
0.05582789331674576,
-0.031257592141628265,
0.1346116065979004,
-0.025299575179815292,
-0.03565497696399689,
0.0030216192826628685,
0.07331369817256927,
-0.025805791839957237,
-0.004331613425165415,
0.0054873148910701275,
-0.006683253683149815,
-0.038726672530174255,
0.007305821403861046,
-0.02107975259423256,
-0.02948867715895176,
0.020008612424135208,
-0.016811106353998184,
-0.06499812752008438,
0.035230252891778946,
-0.0523531511425972,
-0.013242035172879696,
0.009585686959326267,
-0.08683107048273087,
-0.028337452560663223,
0.12637625634670258,
-0.0009567647939547896,
0.01678338833153248,
-0.0725666806101799,
-0.05815403535962105,
-0.015712840482592583,
-0.0651712492108345,
-0.020408838987350464,
0.004720812197774649,
0.03166951984167099,
0.006318417843431234,
-0.0763106420636177,
0.07461702823638916,
-0.08079644292593002,
0.07881639152765274,
-0.029578251764178276,
-0.03825811669230461,
-0.0007749003707431257,
-0.07387588173151016,
0.0985802561044693,
-0.0318954773247242,
0.007880311459302902,
-0.0016223930288106203,
0.03843144327402115,
-0.03427831828594208,
0.02349882572889328,
-0.05387398228049278,
-0.004337092395871878,
0.06930254399776459,
-0.05599725618958473,
0.011012792587280273,
-0.019764937460422516,
0.008229446597397327,
0.020997576415538788,
0.01407961081713438,
-0.04869256168603897,
0.031099582090973854,
0.05060581490397453,
0.021617084741592407,
-0.02219194918870926,
-0.02887275442481041,
0.027398522943258286,
-0.12367475032806396,
0.0424688346683979,
0.08895754814147949,
0.01842394471168518,
0.0772944912314415,
0.01972072385251522,
-0.0732869803905487,
0.09323246031999588,
-0.05440688133239746,
-0.033527977764606476,
0.04029783979058266,
0.05226540192961693,
0.055367108434438705,
-0.11538767069578171,
-5.027852623129547e-8,
-0.03283008560538292,
0.05449920892715454,
-0.0683174580335617,
-0.10939968377351761,
0.0487469807267189,
-0.003306476166471839,
-0.03644286468625069,
0.1054948940873146,
0.025633445009589195,
-0.0629589781165123,
0.08166340738534927,
-0.05574076995253563,
-0.03698413074016571,
-0.03606327995657921,
0.019264284521341324,
0.042054224759340286,
-0.010027491487562656,
0.09867924451828003,
0.038487695157527924,
0.027078138664364815,
0.06984437257051468,
0.010891792364418507,
0.0010945673566311598,
0.04902493953704834,
-0.05952119454741478,
-0.030924824997782707,
-0.02626964822411537,
0.09072017669677734,
0.009980954229831696,
-0.012120841071009636,
0.0473298579454422,
0.07665567100048065,
-0.06313861906528473,
-0.019098332151770592,
0.027528904378414154,
-0.0010289604542776942,
0.009442364796996117,
-0.00575504032894969,
-0.015771320089697838,
0.03810390457510948,
0.03598201274871826,
-0.022360380738973618,
-0.07596641033887863,
0.053801462054252625,
0.10127296298742294,
-0.02350032888352871,
0.09578720480203629,
-0.11597584933042526,
0.02057742141187191,
0.05812661349773407,
-0.00332145974971354,
-0.008951690047979355,
-0.02863212861120701,
0.054116781800985336,
-0.0042302957735955715,
-0.0005820674705319107,
0.06614948809146881,
0.039546120911836624,
0.0230089258402586,
0.030706655234098434,
0.029526686295866966,
-0.027139367535710335,
-0.10902252793312073,
-0.0002180324518121779
] |
1401.7714
|
Francois Le Gall
|
Fran\c{c}ois Le Gall
|
Powers of Tensors and Fast Matrix Multiplication
|
28 pages
|
Proceedings of the 39th International Symposium on Symbolic and
Algebraic Computation (ISSAC 2014), pp. 296-303, 2014
|
10.1145/2608628.2627493
| null |
cs.DS cs.CC cs.SC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents a method to analyze the powers of a given trilinear form
(a special kind of algebraic constructions also called a tensor) and obtain
upper bounds on the asymptotic complexity of matrix multiplication. Compared
with existing approaches, this method is based on convex optimization, and thus
has polynomial-time complexity. As an application, we use this method to study
powers of the construction given by Coppersmith and Winograd [Journal of
Symbolic Computation, 1990] and obtain the upper bound $\omega<2.3728639$ on
the exponent of square matrix multiplication, which slightly improves the best
known upper bound.
|
[
{
"created": "Thu, 30 Jan 2014 01:11:22 GMT",
"version": "v1"
}
] |
2021-10-05
|
[
[
"Gall",
"François Le",
""
]
] |
[
-0.03240008279681206,
0.013866882771253586,
-0.11270072311162949,
-0.029805369675159454,
-0.07804393768310547,
-0.056941282004117966,
-0.029231585562229156,
-0.05072610080242157,
0.004069512244313955,
-0.015033035539090633,
-0.012411044910550117,
0.04581335932016373,
-0.031001873314380646,
-0.01351221278309822,
-0.0007204112480394542,
0.08802483230829239,
-0.056426040828228,
0.037668097764253616,
-0.05947292596101761,
0.02870413288474083,
0.045577406883239746,
-0.047614935785532,
-0.10615546256303787,
-0.016105856746435165,
0.010230428539216518,
0.025666918605566025,
0.024642417207360268,
-0.06676168739795685,
0.036246366798877716,
0.06904026120901108,
-0.04329746216535568,
-0.005581965204328299,
0.0638783872127533,
-0.020354503765702248,
-0.0455046147108078,
0.06658860296010971,
0.0715566948056221,
0.04715538024902344,
0.007525803055614233,
0.061717599630355835,
-0.025053739547729492,
0.028509194031357765,
0.04517539218068123,
0.06192581728100777,
0.04878438636660576,
-0.008972792886197567,
0.07479442656040192,
-0.010967849753797054,
-0.03094690851867199,
-0.03405989333987236,
-0.04446570575237274,
0.013269911520183086,
-0.07692121714353561,
-0.027140863239765167,
-0.08351326733827591,
-0.15594443678855896,
0.018130213022232056,
-0.006567342206835747,
-0.04116860032081604,
0.03589792549610138,
0.013759116642177105,
-0.07047247886657715,
0.02029458060860634,
-0.009939827024936676,
0.005450205411761999,
0.06445106118917465,
0.07402651757001877,
-0.07995451986789703,
-0.04064416140317917,
0.07237299531698227,
-0.047792404890060425,
-0.0760156586766243,
-0.16160379350185394,
0.030974622815847397,
-0.040408648550510406,
-0.030499646440148354,
0.04771579056978226,
-0.027840491384267807,
-0.011672255583107471,
0.00604871055111289,
0.0509476475417614,
0.028804128989577293,
-0.05379556491971016,
-0.03625202178955078,
0.07283630967140198,
-0.03152963146567345,
0.0029977180529385805,
0.04896631836891174,
0.132976233959198,
-0.012686445377767086,
-0.012469404377043247,
-0.007447484415024519,
0.027382951229810715,
0.050168659538030624,
-0.008336453698575497,
-0.008350213058292866,
0.0242552999407053,
0.048301924020051956,
-0.00895457062870264,
0.04362810030579567,
0.009094394743442535,
-0.0198093019425869,
-0.02724435366690159,
0.010942458175122738,
-0.03933694586157799,
0.08401372283697128,
0.008963469415903091,
0.026460155844688416,
-0.005847192835062742,
-0.004480211064219475,
0.079732246696949,
0.05871354043483734,
-0.016400646418333054,
0.01882665790617466,
0.012363811954855919,
0.10179603099822998,
0.004461756907403469,
0.05661887675523758,
0.13356460630893707,
0.04201686382293701,
0.033157575875520706,
0.007510851603001356,
0.06090309098362923,
0.06072746589779854,
-0.004484367556869984,
0.017833715304732323,
-0.07880176603794098,
1.821299192220544e-33,
-0.055811163038015366,
0.1448543220758438,
0.03211047872900963,
0.03373508155345917,
-0.0003945266071241349,
0.040929920971393585,
0.03278505802154541,
-0.06136579066514969,
0.05612283572554588,
0.04897654801607132,
0.0029023841489106417,
0.04526433348655701,
0.08269469439983368,
-0.008175166323781013,
0.037546366453170776,
-0.01582450605928898,
0.03371851146221161,
-0.05590501427650452,
-0.04408560320734978,
-0.08874254673719406,
0.05691390857100487,
-0.007972548715770245,
-0.018113726750016212,
0.04953755438327789,
0.022561797872185707,
-0.059883326292037964,
0.047837648540735245,
-0.03872505575418472,
-0.0047735488042235374,
0.011507052928209305,
-0.0395047664642334,
-0.08652240037918091,
0.013151351362466812,
0.05458245053887367,
0.0020366685930639505,
-0.048945799469947815,
0.061088401824235916,
-0.07797808200120926,
0.013854765333235264,
-0.05850699916481972,
-0.020101817324757576,
-0.002601143904030323,
0.016109930351376534,
-0.024422049522399902,
-0.1260014921426773,
-0.039614900946617126,
-0.01301884837448597,
0.06606974452733994,
0.0076337289065122604,
-0.06983847171068192,
-0.038906630128622055,
0.029184866696596146,
-0.03525611758232117,
0.057315584272146225,
0.08377789705991745,
0.013249383307993412,
-0.05307827144861221,
0.030355919152498245,
0.0893886536359787,
0.07139424234628677,
-0.06699532270431519,
-0.036991603672504425,
0.03740891441702843,
-0.03386727347970009,
-0.12966953217983246,
0.023415109142661095,
0.014011737890541553,
-0.04866154119372368,
0.0769694447517395,
0.0013741086004301906,
-0.002952350303530693,
0.02477446384727955,
-0.05220244079828262,
-0.039396435022354126,
0.05494946241378784,
-0.06323488056659698,
0.04455690458416939,
-0.07614580541849136,
-0.07170191407203674,
0.0659496858716011,
-0.06896527856588364,
0.09671749174594879,
0.11037877947092056,
-0.03531546890735626,
-0.008916490711271763,
-0.10642287880182266,
-0.03699909523129463,
-0.02311570942401886,
-0.06451479345560074,
0.021465305238962173,
-0.0764615386724472,
0.06785381585359573,
-0.008686065673828125,
-0.02756546251475811,
0.00973228458315134,
-2.4723594117219378e-33,
-0.07748812437057495,
-0.13666020333766937,
-0.008462609723210335,
-0.009577815420925617,
0.019020607694983482,
-0.11391597241163254,
-0.06741442531347275,
-0.07878656685352325,
0.01940781995654106,
-0.010172906331717968,
0.04510025307536125,
-0.023797832429409027,
-0.011370712891221046,
-0.04489929974079132,
0.08409693092107773,
0.05690181255340576,
0.030258215963840485,
0.07907374948263168,
0.02959923818707466,
-0.0719449371099472,
0.0252168457955122,
0.04940403997898102,
0.07374981790781021,
0.030012743547558784,
-0.042401812970638275,
-0.026622477918863297,
-0.059551119804382324,
0.019895855337381363,
0.06372307986021042,
0.021878795698285103,
-0.0380806066095829,
-0.06221509352326393,
-0.06782273948192596,
0.06243272125720978,
-0.05902732163667679,
0.032079409807920456,
0.016251953318715096,
0.07021401822566986,
0.01826951839029789,
0.06980754435062408,
-0.033659160137176514,
0.007837685756385326,
0.043802086263895035,
0.05917801335453987,
-0.009283575229346752,
0.027389101684093475,
0.013375699520111084,
0.050935763865709305,
0.03432340547442436,
-0.012810589745640755,
0.09053006768226624,
-0.06475068628787994,
0.022312043234705925,
0.053374819457530975,
-0.02867414616048336,
0.03616674616932869,
-0.02146012894809246,
0.014502988196909428,
0.0055580404587090015,
-0.01802842691540718,
-0.015005725435912609,
-0.05722513422369957,
-0.04349842667579651,
0.02702885866165161,
0.031081410124897957,
-0.012693773955106735,
-0.007030460052192211,
0.02980729378759861,
0.009421746246516705,
0.07504009455442429,
-0.023343132808804512,
-0.016059115529060364,
-0.11085724830627441,
0.0487905815243721,
-0.14235392212867737,
0.03952532634139061,
0.08910052478313446,
0.017910504713654518,
0.0031462747137993574,
-0.034967999905347824,
0.06522143632173538,
0.06541716307401657,
-0.003443647176027298,
-0.04390303045511246,
-0.01880357787013054,
0.007550904061645269,
0.10037453472614288,
0.045947201550006866,
0.03144087269902229,
-0.04617650806903839,
-0.016359223052859306,
-0.013372134417295456,
-0.012237736955285072,
0.03151838108897209,
0.020463459193706512,
-3.8507970145928994e-8,
-0.018572676926851273,
-0.07034701108932495,
-0.015606556087732315,
-0.07574191689491272,
0.07533519715070724,
-0.01747961714863777,
0.07245281338691711,
0.037421341985464096,
-0.022955801337957382,
-0.03090333566069603,
0.0022678058594465256,
0.026282252743840218,
-0.0007100756047293544,
0.04791358485817909,
-0.06954482197761536,
0.017487088218331337,
-0.0643385797739029,
-0.04124647378921509,
0.0037397188134491444,
-0.06778062880039215,
0.006924506276845932,
-0.0022661343682557344,
-0.0014415904879570007,
0.06827238202095032,
-0.10968289524316788,
-0.006176335737109184,
0.034330226480960846,
-0.028156761080026627,
0.08506880700588226,
0.025519439950585365,
-0.05537700653076172,
0.04470917209982872,
-0.014171765185892582,
0.03372815251350403,
-0.033507928252220154,
-0.019096901640295982,
0.031931884586811066,
-0.021931899711489677,
-0.024051859974861145,
0.057144854217767715,
-0.02843085676431656,
0.033556368201971054,
0.04597526788711548,
0.041000038385391235,
0.08513863384723663,
-0.04393712431192398,
-0.035977717489004135,
-0.011964687146246433,
-0.04355067387223244,
-0.0009470912045799196,
0.04091273993253708,
0.08380250632762909,
-0.039323993027210236,
-0.01878189481794834,
-0.034732215106487274,
0.017085490748286247,
-0.08421403169631958,
-0.012740801088511944,
0.034856997430324554,
-0.006147171836346388,
-0.007669833954423666,
0.051681894809007645,
0.028488384559750557,
-0.014026104472577572
] | null | null | null | null | null | null | null |
[
-0.03240008279681206,
0.013866882771253586,
-0.11270072311162949,
-0.029805369675159454,
-0.07804393768310547,
-0.056941282004117966,
-0.029231585562229156,
-0.05072610080242157,
0.004069512244313955,
-0.015033035539090633,
-0.012411044910550117,
0.04581335932016373,
-0.031001873314380646,
-0.01351221278309822,
-0.0007204112480394542,
0.08802483230829239,
-0.056426040828228,
0.037668097764253616,
-0.05947292596101761,
0.02870413288474083,
0.045577406883239746,
-0.047614935785532,
-0.10615546256303787,
-0.016105856746435165,
0.010230428539216518,
0.025666918605566025,
0.024642417207360268,
-0.06676168739795685,
0.036246366798877716,
0.06904026120901108,
-0.04329746216535568,
-0.005581965204328299,
0.0638783872127533,
-0.020354503765702248,
-0.0455046147108078,
0.06658860296010971,
0.0715566948056221,
0.04715538024902344,
0.007525803055614233,
0.061717599630355835,
-0.025053739547729492,
0.028509194031357765,
0.04517539218068123,
0.06192581728100777,
0.04878438636660576,
-0.008972792886197567,
0.07479442656040192,
-0.010967849753797054,
-0.03094690851867199,
-0.03405989333987236,
-0.04446570575237274,
0.013269911520183086,
-0.07692121714353561,
-0.027140863239765167,
-0.08351326733827591,
-0.15594443678855896,
0.018130213022232056,
-0.006567342206835747,
-0.04116860032081604,
0.03589792549610138,
0.013759116642177105,
-0.07047247886657715,
0.02029458060860634,
-0.009939827024936676,
0.005450205411761999,
0.06445106118917465,
0.07402651757001877,
-0.07995451986789703,
-0.04064416140317917,
0.07237299531698227,
-0.047792404890060425,
-0.0760156586766243,
-0.16160379350185394,
0.030974622815847397,
-0.040408648550510406,
-0.030499646440148354,
0.04771579056978226,
-0.027840491384267807,
-0.011672255583107471,
0.00604871055111289,
0.0509476475417614,
0.028804128989577293,
-0.05379556491971016,
-0.03625202178955078,
0.07283630967140198,
-0.03152963146567345,
0.0029977180529385805,
0.04896631836891174,
0.132976233959198,
-0.012686445377767086,
-0.012469404377043247,
-0.007447484415024519,
0.027382951229810715,
0.050168659538030624,
-0.008336453698575497,
-0.008350213058292866,
0.0242552999407053,
0.048301924020051956,
-0.00895457062870264,
0.04362810030579567,
0.009094394743442535,
-0.0198093019425869,
-0.02724435366690159,
0.010942458175122738,
-0.03933694586157799,
0.08401372283697128,
0.008963469415903091,
0.026460155844688416,
-0.005847192835062742,
-0.004480211064219475,
0.079732246696949,
0.05871354043483734,
-0.016400646418333054,
0.01882665790617466,
0.012363811954855919,
0.10179603099822998,
0.004461756907403469,
0.05661887675523758,
0.13356460630893707,
0.04201686382293701,
0.033157575875520706,
0.007510851603001356,
0.06090309098362923,
0.06072746589779854,
-0.004484367556869984,
0.017833715304732323,
-0.07880176603794098,
1.821299192220544e-33,
-0.055811163038015366,
0.1448543220758438,
0.03211047872900963,
0.03373508155345917,
-0.0003945266071241349,
0.040929920971393585,
0.03278505802154541,
-0.06136579066514969,
0.05612283572554588,
0.04897654801607132,
0.0029023841489106417,
0.04526433348655701,
0.08269469439983368,
-0.008175166323781013,
0.037546366453170776,
-0.01582450605928898,
0.03371851146221161,
-0.05590501427650452,
-0.04408560320734978,
-0.08874254673719406,
0.05691390857100487,
-0.007972548715770245,
-0.018113726750016212,
0.04953755438327789,
0.022561797872185707,
-0.059883326292037964,
0.047837648540735245,
-0.03872505575418472,
-0.0047735488042235374,
0.011507052928209305,
-0.0395047664642334,
-0.08652240037918091,
0.013151351362466812,
0.05458245053887367,
0.0020366685930639505,
-0.048945799469947815,
0.061088401824235916,
-0.07797808200120926,
0.013854765333235264,
-0.05850699916481972,
-0.020101817324757576,
-0.002601143904030323,
0.016109930351376534,
-0.024422049522399902,
-0.1260014921426773,
-0.039614900946617126,
-0.01301884837448597,
0.06606974452733994,
0.0076337289065122604,
-0.06983847171068192,
-0.038906630128622055,
0.029184866696596146,
-0.03525611758232117,
0.057315584272146225,
0.08377789705991745,
0.013249383307993412,
-0.05307827144861221,
0.030355919152498245,
0.0893886536359787,
0.07139424234628677,
-0.06699532270431519,
-0.036991603672504425,
0.03740891441702843,
-0.03386727347970009,
-0.12966953217983246,
0.023415109142661095,
0.014011737890541553,
-0.04866154119372368,
0.0769694447517395,
0.0013741086004301906,
-0.002952350303530693,
0.02477446384727955,
-0.05220244079828262,
-0.039396435022354126,
0.05494946241378784,
-0.06323488056659698,
0.04455690458416939,
-0.07614580541849136,
-0.07170191407203674,
0.0659496858716011,
-0.06896527856588364,
0.09671749174594879,
0.11037877947092056,
-0.03531546890735626,
-0.008916490711271763,
-0.10642287880182266,
-0.03699909523129463,
-0.02311570942401886,
-0.06451479345560074,
0.021465305238962173,
-0.0764615386724472,
0.06785381585359573,
-0.008686065673828125,
-0.02756546251475811,
0.00973228458315134,
-2.4723594117219378e-33,
-0.07748812437057495,
-0.13666020333766937,
-0.008462609723210335,
-0.009577815420925617,
0.019020607694983482,
-0.11391597241163254,
-0.06741442531347275,
-0.07878656685352325,
0.01940781995654106,
-0.010172906331717968,
0.04510025307536125,
-0.023797832429409027,
-0.011370712891221046,
-0.04489929974079132,
0.08409693092107773,
0.05690181255340576,
0.030258215963840485,
0.07907374948263168,
0.02959923818707466,
-0.0719449371099472,
0.0252168457955122,
0.04940403997898102,
0.07374981790781021,
0.030012743547558784,
-0.042401812970638275,
-0.026622477918863297,
-0.059551119804382324,
0.019895855337381363,
0.06372307986021042,
0.021878795698285103,
-0.0380806066095829,
-0.06221509352326393,
-0.06782273948192596,
0.06243272125720978,
-0.05902732163667679,
0.032079409807920456,
0.016251953318715096,
0.07021401822566986,
0.01826951839029789,
0.06980754435062408,
-0.033659160137176514,
0.007837685756385326,
0.043802086263895035,
0.05917801335453987,
-0.009283575229346752,
0.027389101684093475,
0.013375699520111084,
0.050935763865709305,
0.03432340547442436,
-0.012810589745640755,
0.09053006768226624,
-0.06475068628787994,
0.022312043234705925,
0.053374819457530975,
-0.02867414616048336,
0.03616674616932869,
-0.02146012894809246,
0.014502988196909428,
0.0055580404587090015,
-0.01802842691540718,
-0.015005725435912609,
-0.05722513422369957,
-0.04349842667579651,
0.02702885866165161,
0.031081410124897957,
-0.012693773955106735,
-0.007030460052192211,
0.02980729378759861,
0.009421746246516705,
0.07504009455442429,
-0.023343132808804512,
-0.016059115529060364,
-0.11085724830627441,
0.0487905815243721,
-0.14235392212867737,
0.03952532634139061,
0.08910052478313446,
0.017910504713654518,
0.0031462747137993574,
-0.034967999905347824,
0.06522143632173538,
0.06541716307401657,
-0.003443647176027298,
-0.04390303045511246,
-0.01880357787013054,
0.007550904061645269,
0.10037453472614288,
0.045947201550006866,
0.03144087269902229,
-0.04617650806903839,
-0.016359223052859306,
-0.013372134417295456,
-0.012237736955285072,
0.03151838108897209,
0.020463459193706512,
-3.8507970145928994e-8,
-0.018572676926851273,
-0.07034701108932495,
-0.015606556087732315,
-0.07574191689491272,
0.07533519715070724,
-0.01747961714863777,
0.07245281338691711,
0.037421341985464096,
-0.022955801337957382,
-0.03090333566069603,
0.0022678058594465256,
0.026282252743840218,
-0.0007100756047293544,
0.04791358485817909,
-0.06954482197761536,
0.017487088218331337,
-0.0643385797739029,
-0.04124647378921509,
0.0037397188134491444,
-0.06778062880039215,
0.006924506276845932,
-0.0022661343682557344,
-0.0014415904879570007,
0.06827238202095032,
-0.10968289524316788,
-0.006176335737109184,
0.034330226480960846,
-0.028156761080026627,
0.08506880700588226,
0.025519439950585365,
-0.05537700653076172,
0.04470917209982872,
-0.014171765185892582,
0.03372815251350403,
-0.033507928252220154,
-0.019096901640295982,
0.031931884586811066,
-0.021931899711489677,
-0.024051859974861145,
0.057144854217767715,
-0.02843085676431656,
0.033556368201971054,
0.04597526788711548,
0.041000038385391235,
0.08513863384723663,
-0.04393712431192398,
-0.035977717489004135,
-0.011964687146246433,
-0.04355067387223244,
-0.0009470912045799196,
0.04091273993253708,
0.08380250632762909,
-0.039323993027210236,
-0.01878189481794834,
-0.034732215106487274,
0.017085490748286247,
-0.08421403169631958,
-0.012740801088511944,
0.034856997430324554,
-0.006147171836346388,
-0.007669833954423666,
0.051681894809007645,
0.028488384559750557,
-0.014026104472577572
] |
1401.7715
|
Jianing Shi
|
Jianing V. Shi, Wotao Yin, Aswin C. Sankaranarayanan, and Richard G.
Baraniuk
|
Video Compressive Sensing for Dynamic MRI
|
30 pages, 9 figures
| null | null | null |
cs.CV math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a video compressive sensing framework, termed kt-CSLDS, to
accelerate the image acquisition process of dynamic magnetic resonance imaging
(MRI). We are inspired by a state-of-the-art model for video compressive
sensing that utilizes a linear dynamical system (LDS) to model the motion
manifold. Given compressive measurements, the state sequence of an LDS can be
first estimated using system identification techniques. We then reconstruct the
observation matrix using a joint structured sparsity assumption. In particular,
we minimize an objective function with a mixture of wavelet sparsity and joint
sparsity within the observation matrix. We derive an efficient convex
optimization algorithm through alternating direction method of multipliers
(ADMM), and provide a theoretical guarantee for global convergence. We
demonstrate the performance of our approach for video compressive sensing, in
terms of reconstruction accuracy. We also investigate the impact of various
sampling strategies. We apply this framework to accelerate the acquisition
process of dynamic MRI and show it achieves the best reconstruction accuracy
with the least computational time compared with existing algorithms in the
literature.
|
[
{
"created": "Thu, 30 Jan 2014 01:18:26 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Feb 2014 22:50:51 GMT",
"version": "v2"
}
] |
2014-02-04
|
[
[
"Shi",
"Jianing V.",
""
],
[
"Yin",
"Wotao",
""
],
[
"Sankaranarayanan",
"Aswin C.",
""
],
[
"Baraniuk",
"Richard G.",
""
]
] |
[
-0.04364227131009102,
-0.045934200286865234,
-0.015468214638531208,
-0.06579481065273285,
0.004978520795702934,
0.005394096951931715,
0.015314671210944653,
-0.05965603515505791,
0.04272880777716637,
-0.058015402406454086,
-0.07976226508617401,
0.062236882746219635,
-0.009947261773049831,
0.047746457159519196,
-0.08010335266590118,
-0.018458804115653038,
0.018372252583503723,
0.054513584822416306,
-0.040717028081417084,
-0.02215707115828991,
-0.053283024579286575,
-0.05758117511868477,
-0.006362364627420902,
-0.025480154901742935,
0.013665101490914822,
0.013389715924859047,
0.05372924357652664,
-0.04610047489404678,
0.0033816329669207335,
0.042023979127407074,
0.12088438868522644,
-0.01012948527932167,
-0.003799167927354574,
-0.06674820929765701,
-0.02142171375453472,
0.026388226076960564,
0.0031538885086774826,
0.03328052908182144,
-0.006387773435562849,
0.01756804995238781,
-0.016230152919888496,
0.1130073294043541,
-0.005475546233355999,
-0.049681518226861954,
-0.026166995987296104,
0.05067968741059303,
0.05845225229859352,
-0.1301640272140503,
0.07652565836906433,
-0.01668284460902214,
0.013899162411689758,
0.06413628906011581,
-0.05336722359061241,
-0.04572949931025505,
-0.04184521734714508,
0.02821643278002739,
-0.04590081050992012,
-0.06431195139884949,
-0.007344255223870277,
0.09379255771636963,
0.0031169697176665068,
-0.04354777932167053,
0.00911607313901186,
0.07018078118562698,
0.07076045870780945,
0.07064565271139145,
0.049710217863321304,
-0.003938185982406139,
0.0204763226211071,
0.044767383486032486,
-0.12949471175670624,
0.0055431341752409935,
-0.012433531694114208,
0.03632336109876633,
-0.09115167707204819,
-0.03943027928471565,
0.04448423534631729,
-0.0044119530357420444,
0.09549447149038315,
0.017756791785359383,
0.020616482943296432,
0.08237101137638092,
-0.04509468376636505,
-0.0012780949473381042,
0.07984094321727753,
-0.0075241802260279655,
-0.036762505769729614,
0.04600486531853676,
0.051348280161619186,
0.038255445659160614,
-0.062337420880794525,
-0.057472869753837585,
-0.15610142052173615,
0.03999315947294235,
0.00851085502654314,
-0.07949844747781754,
0.038187425583601,
0.010083712637424469,
0.005740046966820955,
0.06747377663850784,
0.025329547002911568,
0.003413352882489562,
0.018935399129986763,
0.04969268664717674,
0.030963335186243057,
-0.11713454872369766,
0.07259087264537811,
0.09137945622205734,
0.04351511970162392,
0.010037739761173725,
0.05906630679965019,
0.03165251389145851,
0.047351062297821045,
0.0050938986241817474,
0.0403280109167099,
-0.0832073763012886,
0.014862415380775928,
0.011841261759400368,
0.016102546826004982,
0.04023071750998497,
0.032114021480083466,
-0.13640502095222473,
-0.07660357654094696,
-0.02997967042028904,
0.06793002039194107,
0.01678231731057167,
-0.04081496596336365,
-1.4979812159013009e-33,
-0.0303718913346529,
0.07974459230899811,
0.10354744642972946,
0.03855545073747635,
-0.057142652571201324,
0.02820259891450405,
0.01839841715991497,
-0.019147194921970367,
0.03926154226064682,
0.06344286352396011,
0.010588464327156544,
-0.019157033413648605,
-0.00416141701862216,
0.06150785833597183,
-0.0737704187631607,
-0.00494196405634284,
0.0013418870512396097,
0.04584042355418205,
0.00042581214802339673,
-0.06998875737190247,
0.07302721589803696,
0.03951972723007202,
0.004933478776365519,
0.0013507764087989926,
-0.058831606060266495,
-0.03457145765423775,
0.026249850168824196,
-0.04953708127140999,
-0.018514590337872505,
-0.00010022019705502316,
-0.08640329539775848,
-0.05391693860292435,
-0.02699769288301468,
0.037632882595062256,
0.07934043556451797,
0.010030652396380901,
0.035735636949539185,
-0.006001697387546301,
-0.027785224840044975,
0.040105175226926804,
0.01839517429471016,
0.020688438788056374,
0.0245610810816288,
-0.06432563811540604,
-0.05692338943481445,
-0.03993403539061546,
0.029727047309279442,
0.039886172860860825,
-0.03207826614379883,
-0.030955247581005096,
-0.025623761117458344,
-0.06645669043064117,
-0.01752558723092079,
-0.004513794090598822,
-0.021162832155823708,
-0.03317547217011452,
-0.020416824147105217,
-0.02638261765241623,
0.03919926658272743,
0.06207093223929405,
-0.05418587848544121,
-0.02262168377637863,
0.015270060859620571,
-0.024744072929024696,
0.013450978323817253,
0.0030046363826841116,
-0.010138526558876038,
-0.027560602873563766,
-0.006841150112450123,
0.021155552938580513,
0.03196895495057106,
0.0735388994216919,
0.030136588960886,
-0.06700213998556137,
0.10175283998250961,
0.04277593269944191,
0.07592356204986572,
0.03006463311612606,
-0.04615076258778572,
0.026361191645264626,
-0.060443658381700516,
0.004652834963053465,
0.013461044989526272,
-0.018883489072322845,
-0.061184320598840714,
0.04297711327672005,
0.05039000138640404,
-0.05325118452310562,
-0.01570316031575203,
-0.15470749139785767,
-0.0925331637263298,
0.01591586135327816,
-0.024129118770360947,
0.015545936301350594,
-0.0053574941121041775,
1.4281740247002385e-33,
0.046095483005046844,
0.030931202694773674,
0.04744972661137581,
-0.05883144214749336,
-0.011801332235336304,
-0.03815678879618645,
0.022084804251790047,
0.04653988406062126,
-0.007400873117148876,
-0.03484655171632767,
-0.011419214308261871,
-0.11305499076843262,
-0.053559109568595886,
0.005556559190154076,
-0.040644191205501556,
0.07326039671897888,
-0.07301491498947144,
-0.02630753070116043,
-0.0035510906018316746,
0.002104711951687932,
-0.027675369754433632,
0.11090725660324097,
0.02261880412697792,
0.020709453150629997,
0.022694535553455353,
0.05604466795921326,
-0.03478052467107773,
0.03960396721959114,
0.0523204542696476,
-0.03552169352769852,
-0.03706124424934387,
-0.013811622746288776,
-0.058229248970746994,
-0.04288707673549652,
-0.08864277601242065,
0.08186563849449158,
0.01234951801598072,
0.005066580139100552,
-0.005115245934575796,
0.09833412617444992,
-0.005559831392019987,
0.08005037158727646,
-0.007542337756603956,
0.07090328633785248,
0.11471444368362427,
-0.063199482858181,
0.006917858496308327,
-0.010663033463060856,
0.05587208271026611,
0.03766677528619766,
-0.00047334222472272813,
0.026556022465229034,
-0.04902343824505806,
0.031940434128046036,
0.005527806468307972,
-0.09077633917331696,
-0.06507217139005661,
-0.0011631156085059047,
0.06632789969444275,
0.01001745369285345,
-0.051303427666425705,
0.009902497753500938,
-0.11250201612710953,
0.032913561910390854,
-0.003321137512102723,
0.07270503044128418,
0.07542795687913895,
-0.018410125747323036,
-0.045714497566223145,
0.11536585539579391,
-0.05585848167538643,
0.03777223080396652,
0.02377132885158062,
0.01252049021422863,
0.11102242767810822,
-0.0013310241047292948,
-0.009140338748693466,
-0.02755625545978546,
-0.03415961191058159,
-0.007760265376418829,
0.05191715806722641,
-0.06643998622894287,
0.04260975494980812,
0.022129230201244354,
0.01106745284050703,
0.0593353733420372,
0.0055846464820206165,
-0.03792037442326546,
0.018763532862067223,
-0.010509539395570755,
-0.016366979107260704,
-0.015452991239726543,
0.06929224729537964,
-0.05538284406065941,
-0.018317030742764473,
-4.080818882812309e-8,
-0.08537366986274719,
0.029710840433835983,
-0.06537389010190964,
-0.06148407235741615,
0.0013574110344052315,
-0.03949560225009918,
0.05030076950788498,
-0.006009751930832863,
0.06625114381313324,
-0.1461925208568573,
0.10143602639436722,
-0.11108337342739105,
-0.06882356852293015,
0.0032793348655104637,
-0.09586212784051895,
0.02145187370479107,
-0.0027191319968551397,
-0.013010534457862377,
0.02214481122791767,
0.06326954066753387,
0.023701580241322517,
0.02436947636306286,
0.04869282618165016,
0.007568442728370428,
0.05828819423913956,
0.037419404834508896,
0.03989100456237793,
-0.01738712564110756,
0.10009967535734177,
-0.008544049225747585,
-0.09131265431642532,
0.03307291120290756,
0.06463929265737534,
0.008202513679862022,
-0.05368046090006828,
0.04112481325864792,
0.014242653734982014,
-0.004550239071249962,
-0.051849931478500366,
-0.03131008520722389,
-0.12190702557563782,
0.05488274246454239,
-0.005943383555859327,
-0.031619198620319366,
0.00719054089859128,
0.03188159689307213,
0.03722309693694115,
0.01630323752760887,
0.02823469042778015,
-0.028003619983792305,
0.05478568375110626,
0.018470747396349907,
0.04637302830815315,
0.004150267690420151,
0.09020198881626129,
-0.01770738512277603,
0.05673280358314514,
-0.014472723938524723,
0.04451095685362816,
0.039963267743587494,
-0.0433528795838356,
0.03694095090031624,
-0.1265835464000702,
-0.01991933584213257
] | null | null | null | null | null | null | null |
[
-0.04364227131009102,
-0.045934200286865234,
-0.015468214638531208,
-0.06579481065273285,
0.004978520795702934,
0.005394096951931715,
0.015314671210944653,
-0.05965603515505791,
0.04272880777716637,
-0.058015402406454086,
-0.07976226508617401,
0.062236882746219635,
-0.009947261773049831,
0.047746457159519196,
-0.08010335266590118,
-0.018458804115653038,
0.018372252583503723,
0.054513584822416306,
-0.040717028081417084,
-0.02215707115828991,
-0.053283024579286575,
-0.05758117511868477,
-0.006362364627420902,
-0.025480154901742935,
0.013665101490914822,
0.013389715924859047,
0.05372924357652664,
-0.04610047489404678,
0.0033816329669207335,
0.042023979127407074,
0.12088438868522644,
-0.01012948527932167,
-0.003799167927354574,
-0.06674820929765701,
-0.02142171375453472,
0.026388226076960564,
0.0031538885086774826,
0.03328052908182144,
-0.006387773435562849,
0.01756804995238781,
-0.016230152919888496,
0.1130073294043541,
-0.005475546233355999,
-0.049681518226861954,
-0.026166995987296104,
0.05067968741059303,
0.05845225229859352,
-0.1301640272140503,
0.07652565836906433,
-0.01668284460902214,
0.013899162411689758,
0.06413628906011581,
-0.05336722359061241,
-0.04572949931025505,
-0.04184521734714508,
0.02821643278002739,
-0.04590081050992012,
-0.06431195139884949,
-0.007344255223870277,
0.09379255771636963,
0.0031169697176665068,
-0.04354777932167053,
0.00911607313901186,
0.07018078118562698,
0.07076045870780945,
0.07064565271139145,
0.049710217863321304,
-0.003938185982406139,
0.0204763226211071,
0.044767383486032486,
-0.12949471175670624,
0.0055431341752409935,
-0.012433531694114208,
0.03632336109876633,
-0.09115167707204819,
-0.03943027928471565,
0.04448423534631729,
-0.0044119530357420444,
0.09549447149038315,
0.017756791785359383,
0.020616482943296432,
0.08237101137638092,
-0.04509468376636505,
-0.0012780949473381042,
0.07984094321727753,
-0.0075241802260279655,
-0.036762505769729614,
0.04600486531853676,
0.051348280161619186,
0.038255445659160614,
-0.062337420880794525,
-0.057472869753837585,
-0.15610142052173615,
0.03999315947294235,
0.00851085502654314,
-0.07949844747781754,
0.038187425583601,
0.010083712637424469,
0.005740046966820955,
0.06747377663850784,
0.025329547002911568,
0.003413352882489562,
0.018935399129986763,
0.04969268664717674,
0.030963335186243057,
-0.11713454872369766,
0.07259087264537811,
0.09137945622205734,
0.04351511970162392,
0.010037739761173725,
0.05906630679965019,
0.03165251389145851,
0.047351062297821045,
0.0050938986241817474,
0.0403280109167099,
-0.0832073763012886,
0.014862415380775928,
0.011841261759400368,
0.016102546826004982,
0.04023071750998497,
0.032114021480083466,
-0.13640502095222473,
-0.07660357654094696,
-0.02997967042028904,
0.06793002039194107,
0.01678231731057167,
-0.04081496596336365,
-1.4979812159013009e-33,
-0.0303718913346529,
0.07974459230899811,
0.10354744642972946,
0.03855545073747635,
-0.057142652571201324,
0.02820259891450405,
0.01839841715991497,
-0.019147194921970367,
0.03926154226064682,
0.06344286352396011,
0.010588464327156544,
-0.019157033413648605,
-0.00416141701862216,
0.06150785833597183,
-0.0737704187631607,
-0.00494196405634284,
0.0013418870512396097,
0.04584042355418205,
0.00042581214802339673,
-0.06998875737190247,
0.07302721589803696,
0.03951972723007202,
0.004933478776365519,
0.0013507764087989926,
-0.058831606060266495,
-0.03457145765423775,
0.026249850168824196,
-0.04953708127140999,
-0.018514590337872505,
-0.00010022019705502316,
-0.08640329539775848,
-0.05391693860292435,
-0.02699769288301468,
0.037632882595062256,
0.07934043556451797,
0.010030652396380901,
0.035735636949539185,
-0.006001697387546301,
-0.027785224840044975,
0.040105175226926804,
0.01839517429471016,
0.020688438788056374,
0.0245610810816288,
-0.06432563811540604,
-0.05692338943481445,
-0.03993403539061546,
0.029727047309279442,
0.039886172860860825,
-0.03207826614379883,
-0.030955247581005096,
-0.025623761117458344,
-0.06645669043064117,
-0.01752558723092079,
-0.004513794090598822,
-0.021162832155823708,
-0.03317547217011452,
-0.020416824147105217,
-0.02638261765241623,
0.03919926658272743,
0.06207093223929405,
-0.05418587848544121,
-0.02262168377637863,
0.015270060859620571,
-0.024744072929024696,
0.013450978323817253,
0.0030046363826841116,
-0.010138526558876038,
-0.027560602873563766,
-0.006841150112450123,
0.021155552938580513,
0.03196895495057106,
0.0735388994216919,
0.030136588960886,
-0.06700213998556137,
0.10175283998250961,
0.04277593269944191,
0.07592356204986572,
0.03006463311612606,
-0.04615076258778572,
0.026361191645264626,
-0.060443658381700516,
0.004652834963053465,
0.013461044989526272,
-0.018883489072322845,
-0.061184320598840714,
0.04297711327672005,
0.05039000138640404,
-0.05325118452310562,
-0.01570316031575203,
-0.15470749139785767,
-0.0925331637263298,
0.01591586135327816,
-0.024129118770360947,
0.015545936301350594,
-0.0053574941121041775,
1.4281740247002385e-33,
0.046095483005046844,
0.030931202694773674,
0.04744972661137581,
-0.05883144214749336,
-0.011801332235336304,
-0.03815678879618645,
0.022084804251790047,
0.04653988406062126,
-0.007400873117148876,
-0.03484655171632767,
-0.011419214308261871,
-0.11305499076843262,
-0.053559109568595886,
0.005556559190154076,
-0.040644191205501556,
0.07326039671897888,
-0.07301491498947144,
-0.02630753070116043,
-0.0035510906018316746,
0.002104711951687932,
-0.027675369754433632,
0.11090725660324097,
0.02261880412697792,
0.020709453150629997,
0.022694535553455353,
0.05604466795921326,
-0.03478052467107773,
0.03960396721959114,
0.0523204542696476,
-0.03552169352769852,
-0.03706124424934387,
-0.013811622746288776,
-0.058229248970746994,
-0.04288707673549652,
-0.08864277601242065,
0.08186563849449158,
0.01234951801598072,
0.005066580139100552,
-0.005115245934575796,
0.09833412617444992,
-0.005559831392019987,
0.08005037158727646,
-0.007542337756603956,
0.07090328633785248,
0.11471444368362427,
-0.063199482858181,
0.006917858496308327,
-0.010663033463060856,
0.05587208271026611,
0.03766677528619766,
-0.00047334222472272813,
0.026556022465229034,
-0.04902343824505806,
0.031940434128046036,
0.005527806468307972,
-0.09077633917331696,
-0.06507217139005661,
-0.0011631156085059047,
0.06632789969444275,
0.01001745369285345,
-0.051303427666425705,
0.009902497753500938,
-0.11250201612710953,
0.032913561910390854,
-0.003321137512102723,
0.07270503044128418,
0.07542795687913895,
-0.018410125747323036,
-0.045714497566223145,
0.11536585539579391,
-0.05585848167538643,
0.03777223080396652,
0.02377132885158062,
0.01252049021422863,
0.11102242767810822,
-0.0013310241047292948,
-0.009140338748693466,
-0.02755625545978546,
-0.03415961191058159,
-0.007760265376418829,
0.05191715806722641,
-0.06643998622894287,
0.04260975494980812,
0.022129230201244354,
0.01106745284050703,
0.0593353733420372,
0.0055846464820206165,
-0.03792037442326546,
0.018763532862067223,
-0.010509539395570755,
-0.016366979107260704,
-0.015452991239726543,
0.06929224729537964,
-0.05538284406065941,
-0.018317030742764473,
-4.080818882812309e-8,
-0.08537366986274719,
0.029710840433835983,
-0.06537389010190964,
-0.06148407235741615,
0.0013574110344052315,
-0.03949560225009918,
0.05030076950788498,
-0.006009751930832863,
0.06625114381313324,
-0.1461925208568573,
0.10143602639436722,
-0.11108337342739105,
-0.06882356852293015,
0.0032793348655104637,
-0.09586212784051895,
0.02145187370479107,
-0.0027191319968551397,
-0.013010534457862377,
0.02214481122791767,
0.06326954066753387,
0.023701580241322517,
0.02436947636306286,
0.04869282618165016,
0.007568442728370428,
0.05828819423913956,
0.037419404834508896,
0.03989100456237793,
-0.01738712564110756,
0.10009967535734177,
-0.008544049225747585,
-0.09131265431642532,
0.03307291120290756,
0.06463929265737534,
0.008202513679862022,
-0.05368046090006828,
0.04112481325864792,
0.014242653734982014,
-0.004550239071249962,
-0.051849931478500366,
-0.03131008520722389,
-0.12190702557563782,
0.05488274246454239,
-0.005943383555859327,
-0.031619198620319366,
0.00719054089859128,
0.03188159689307213,
0.03722309693694115,
0.01630323752760887,
0.02823469042778015,
-0.028003619983792305,
0.05478568375110626,
0.018470747396349907,
0.04637302830815315,
0.004150267690420151,
0.09020198881626129,
-0.01770738512277603,
0.05673280358314514,
-0.014472723938524723,
0.04451095685362816,
0.039963267743587494,
-0.0433528795838356,
0.03694095090031624,
-0.1265835464000702,
-0.01991933584213257
] |
1401.7717
|
Hatem Abou-zeid
|
Hatem Abou-zeid and Hossam S. Hassanein
|
Predictive Green Wireless Access: Exploiting Mobility and Application
Information
| null |
IEEE Wireless Communications Magazine, vol. 20, no. 5, pp. 92-99,
Oct. 2013
|
10.1109/MWC.2013.6664479
| null |
cs.NI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The ever increasing mobile data traffic and dense deployment of wireless
networks have made energy efficient radio access imperative. As networks are
designed to satisfy peak user demands, radio access energy can be reduced in a
number of ways at times of lower demand. This includes putting base stations
(BSs) to intermittent short sleep modes during low load, as well as adaptively
powering down select BSs completely where demand is low for prolonged time
periods. In order to fully exploit such energy conserving mechanisms, networks
should be aware of the user temporal and spatial traffic demands. To this end,
this article investigates the potential of utilizing predictions of user
location and application information as a means to energy saving. We discuss
the development of a predictive green wireless access (PreGWA) framework and
identify its key functional entities and their interaction. To demonstrate the
potential energy savings we then provide a case study on stored video streaming
and illustrate how exploiting predictions can minimize BS resource consumption
within a single cell, and across a network of cells. Finally, to emphasize the
practical potential of PreGWA, we present a distributed heuristic that reduces
resource consumption significantly without requiring considerable information
or signaling overhead.
|
[
{
"created": "Thu, 30 Jan 2014 02:18:54 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Abou-zeid",
"Hatem",
""
],
[
"Hassanein",
"Hossam S.",
""
]
] |
[
-0.005220517516136169,
0.04455691576004028,
-0.006578672677278519,
0.055595118552446365,
0.06267522275447845,
-0.020875981077551842,
0.031504951417446136,
-0.010728671215474606,
0.0018571316031739116,
0.03307105973362923,
-0.10853856056928635,
0.003855269169434905,
0.027825670316815376,
0.018970537930727005,
0.04760514199733734,
0.011625333689153194,
0.1292361468076706,
-0.042994555085897446,
-0.040096767246723175,
-0.0771305188536644,
0.041458189487457275,
-0.032744407653808594,
0.01816011406481266,
-0.009851050563156605,
0.13369575142860413,
-0.027543896809220314,
0.040503229945898056,
0.04977962002158165,
0.03695274516940117,
0.02807511016726494,
0.006995647680014372,
-0.025468504056334496,
0.007258784957230091,
-0.015565070323646069,
-0.07204063981771469,
-0.03630296513438225,
-0.06719818711280823,
0.0234068613499403,
-0.04295014590024948,
0.02366682142019272,
-0.02501608431339264,
-0.026466472074389458,
-0.0450429692864418,
0.13103272020816803,
-0.12470879405736923,
0.03433969244360924,
0.028498319908976555,
0.011496963910758495,
-0.013851515017449856,
-0.0476042814552784,
0.029237449169158936,
-0.07389920949935913,
-0.035903263837099075,
0.058128293603658676,
-0.04657968878746033,
0.018954358994960785,
-0.029707107692956924,
0.01901022158563137,
0.08729292452335358,
0.019376398995518684,
0.007147880271077156,
-0.11990448087453842,
0.019552167505025864,
0.010106577537953854,
-0.019649416208267212,
0.031801506876945496,
0.001202714629471302,
0.04347241297364235,
0.012188340537250042,
-0.07414797693490982,
-0.0285885538905859,
0.060212329030036926,
-0.01845923624932766,
-0.00317969499155879,
0.005768423434346914,
0.02633298560976982,
0.045983366668224335,
0.056978270411491394,
0.034284718334674835,
0.04701210558414459,
0.03562288358807564,
0.057544272392988205,
-0.006402680650353432,
-0.012567928060889244,
0.07189574837684631,
-0.018113786354660988,
0.003661544993519783,
0.04351058974862099,
0.004347816575318575,
-0.06322869658470154,
-0.06673410534858704,
0.061638399958610535,
-0.0037092543207108974,
0.006888139061629772,
-0.04367722198367119,
0.02303694561123848,
-0.04485576972365379,
-0.1243487000465393,
-0.04697848856449127,
0.013366373255848885,
0.017944494262337685,
0.03966527804732323,
0.02751258760690689,
-0.02482452802360058,
0.06481052190065384,
-0.07634659111499786,
0.0019744220189750195,
0.12627384066581726,
0.05481556057929993,
0.01892286352813244,
-0.020013300701975822,
0.03729797527194023,
-0.027047626674175262,
0.004769762046635151,
-0.059286750853061676,
0.09677797555923462,
-0.01345137320458889,
0.02318219281733036,
0.008158085867762566,
0.08070162683725357,
0.008075319230556488,
-0.07446371763944626,
0.050925400108098984,
-0.10156114399433136,
0.019539572298526764,
-0.04730646684765816,
-0.06704852730035782,
2.268070615834517e-33,
-0.06475090980529785,
0.0034667816944420338,
0.005400204099714756,
-0.014969290234148502,
0.05174384266138077,
-0.04384298622608185,
-0.022453248500823975,
0.039126645773649216,
0.009753020480275154,
-0.041657328605651855,
0.019241686910390854,
0.041793931275606155,
-0.03212928771972656,
0.023532364517450333,
0.07391739636659622,
-0.05621061846613884,
-0.028606757521629333,
0.014531692489981651,
0.03552548587322235,
-0.06867440789937973,
0.05878825485706329,
-0.07891292124986649,
-0.02130846492946148,
-0.02116762101650238,
0.06873179972171783,
0.0028129168786108494,
0.03701851889491081,
-0.05883272364735603,
0.10039682686328888,
0.015816982835531235,
-0.07206496596336365,
-0.029424160718917847,
0.0006868806085549295,
-0.02251299098134041,
0.0188404880464077,
0.004086128901690245,
-0.06575480103492737,
-0.0492033027112484,
0.0026596910320222378,
0.03483450785279274,
-0.06036272644996643,
0.06718273460865021,
-0.055703528225421906,
-0.03115401789546013,
-0.04037674888968468,
-0.12109483778476715,
0.039262671023607254,
0.042940959334373474,
-0.1133982464671135,
0.03383234888315201,
0.0296622421592474,
0.01871207356452942,
-0.026756150647997856,
-0.018580859526991844,
-0.02955477498471737,
-0.006053654011338949,
0.04577381908893585,
0.010163540951907635,
0.050617676228284836,
0.014846649952232838,
-0.03439905494451523,
0.00768666435033083,
-0.006415985990315676,
0.013857344165444374,
-0.002817673608660698,
-0.09383159875869751,
0.00849731732159853,
0.011048201471567154,
-0.016836272552609444,
0.046576470136642456,
0.07948163896799088,
-0.030682886019349098,
0.0829753503203392,
-0.046210724860429764,
0.003553385380655527,
0.0490071140229702,
0.017157835885882378,
0.015173247084021568,
-0.12871728837490082,
0.005147972609847784,
0.05209843069314957,
-0.016483597457408905,
-0.022387439385056496,
-0.060689277946949005,
-0.02773992344737053,
-0.0805106982588768,
0.0273243747651577,
-0.09213946759700775,
-0.12358306348323822,
0.05879366025328636,
-0.07967501133680344,
0.05377072095870972,
0.0024589519016444683,
-0.009390373714268208,
-0.04835973680019379,
-1.9060545389667388e-33,
-0.030454376712441444,
-0.01729506254196167,
0.0032467779237776995,
-0.021286265924572945,
0.055443163961172104,
-0.06560829281806946,
-0.02841321751475334,
-0.04726562276482582,
-0.035569045692682266,
-0.04919695854187012,
-0.052056875079870224,
-0.03854689002037048,
-0.02371995337307453,
0.04615765064954758,
0.014524012804031372,
-0.02821968123316765,
0.027503490447998047,
-0.05548636242747307,
-0.08511363714933395,
0.052344173192977905,
-0.03908226266503334,
0.03062828816473484,
-0.04825178533792496,
-0.03989541530609131,
0.009450681507587433,
0.030215414240956306,
0.01355238538235426,
0.08944589644670486,
-0.019696097820997238,
0.024442175403237343,
-0.13114352524280548,
-0.055550649762153625,
0.019622769206762314,
-0.11115670204162598,
0.06245773658156395,
0.06490443646907806,
0.05870259925723076,
0.10639235377311707,
-0.017647184431552887,
0.06765617430210114,
0.1480943262577057,
-0.020725661888718605,
-0.029918592423200607,
-0.02252739854156971,
-0.024955205619335175,
0.014270864427089691,
-0.11337316781282425,
0.05020594224333763,
-0.046700358390808105,
0.00646889116615057,
0.1376509964466095,
0.03488217666745186,
-0.09623248130083084,
0.03226274624466896,
0.00362650235183537,
-0.012994830496609211,
0.018880264833569527,
-0.02146049402654171,
0.03436627611517906,
-0.03300176188349724,
0.07413942366838455,
-0.09543726593255997,
0.030261721462011337,
0.06155365705490112,
-0.018150679767131805,
-0.06804067641496658,
0.0013838972663506866,
-0.01241934671998024,
0.0024162842892110348,
0.01589386723935604,
-0.07654225826263428,
-0.030897781252861023,
0.014169377274811268,
0.031063102185726166,
-0.0020717475563287735,
0.04534127563238144,
0.06209862232208252,
0.0051080407574772835,
-0.021520979702472687,
0.02906898409128189,
-0.04855434224009514,
0.10151098668575287,
-0.015237883664667606,
-0.10398317128419876,
0.08438931405544281,
0.03965556249022484,
0.01582915522158146,
0.010653862729668617,
0.007179969921708107,
0.003731503151357174,
-0.024622343480587006,
0.06314441561698914,
-0.0893435999751091,
0.09201747924089432,
-0.034281209111213684,
-4.331562308834691e-8,
-0.0769658237695694,
-0.03244294971227646,
0.07839968055486679,
0.0122299175709486,
-0.003365738084539771,
-0.04828725755214691,
0.04979722574353218,
-0.01803891733288765,
0.114388108253479,
0.04286773502826691,
0.08260577917098999,
0.007921612821519375,
0.03696293383836746,
-0.004466619808226824,
0.03166531026363373,
0.07688741385936737,
0.03521187976002693,
-0.0816689133644104,
-0.002572146477177739,
0.05106609687209129,
-0.03139423951506615,
-0.0018729777075350285,
-0.002710324712097645,
0.041084978729486465,
0.12937316298484802,
0.04775235801935196,
0.048169493675231934,
0.014173165895044804,
0.08368139714002609,
0.008124354295432568,
-0.034117717295885086,
0.009302021004259586,
0.02404758706688881,
-0.045646682381629944,
-0.04773576185107231,
0.014863351359963417,
-0.001604589051567018,
-0.03136885538697243,
0.005782133433967829,
0.07468065619468689,
0.0444522462785244,
-0.00508081866428256,
-0.03127399832010269,
0.016596801578998566,
-0.0354420468211174,
-0.06066007539629936,
-0.013435548171401024,
0.07620130479335785,
0.04548436403274536,
0.04462595283985138,
-0.07766235619783401,
-0.039487823843955994,
-0.025249799713492393,
-0.02736060507595539,
0.08552449196577072,
-0.05478612706065178,
0.007604594808071852,
-0.009931490756571293,
0.026743194088339806,
0.0078647555783391,
0.02132895030081272,
-0.014613742008805275,
-0.0945478230714798,
0.05226995050907135
] | null | null | null | null | null | null | null |
[
-0.005220517516136169,
0.04455691576004028,
-0.006578672677278519,
0.055595118552446365,
0.06267522275447845,
-0.020875981077551842,
0.031504951417446136,
-0.010728671215474606,
0.0018571316031739116,
0.03307105973362923,
-0.10853856056928635,
0.003855269169434905,
0.027825670316815376,
0.018970537930727005,
0.04760514199733734,
0.011625333689153194,
0.1292361468076706,
-0.042994555085897446,
-0.040096767246723175,
-0.0771305188536644,
0.041458189487457275,
-0.032744407653808594,
0.01816011406481266,
-0.009851050563156605,
0.13369575142860413,
-0.027543896809220314,
0.040503229945898056,
0.04977962002158165,
0.03695274516940117,
0.02807511016726494,
0.006995647680014372,
-0.025468504056334496,
0.007258784957230091,
-0.015565070323646069,
-0.07204063981771469,
-0.03630296513438225,
-0.06719818711280823,
0.0234068613499403,
-0.04295014590024948,
0.02366682142019272,
-0.02501608431339264,
-0.026466472074389458,
-0.0450429692864418,
0.13103272020816803,
-0.12470879405736923,
0.03433969244360924,
0.028498319908976555,
0.011496963910758495,
-0.013851515017449856,
-0.0476042814552784,
0.029237449169158936,
-0.07389920949935913,
-0.035903263837099075,
0.058128293603658676,
-0.04657968878746033,
0.018954358994960785,
-0.029707107692956924,
0.01901022158563137,
0.08729292452335358,
0.019376398995518684,
0.007147880271077156,
-0.11990448087453842,
0.019552167505025864,
0.010106577537953854,
-0.019649416208267212,
0.031801506876945496,
0.001202714629471302,
0.04347241297364235,
0.012188340537250042,
-0.07414797693490982,
-0.0285885538905859,
0.060212329030036926,
-0.01845923624932766,
-0.00317969499155879,
0.005768423434346914,
0.02633298560976982,
0.045983366668224335,
0.056978270411491394,
0.034284718334674835,
0.04701210558414459,
0.03562288358807564,
0.057544272392988205,
-0.006402680650353432,
-0.012567928060889244,
0.07189574837684631,
-0.018113786354660988,
0.003661544993519783,
0.04351058974862099,
0.004347816575318575,
-0.06322869658470154,
-0.06673410534858704,
0.061638399958610535,
-0.0037092543207108974,
0.006888139061629772,
-0.04367722198367119,
0.02303694561123848,
-0.04485576972365379,
-0.1243487000465393,
-0.04697848856449127,
0.013366373255848885,
0.017944494262337685,
0.03966527804732323,
0.02751258760690689,
-0.02482452802360058,
0.06481052190065384,
-0.07634659111499786,
0.0019744220189750195,
0.12627384066581726,
0.05481556057929993,
0.01892286352813244,
-0.020013300701975822,
0.03729797527194023,
-0.027047626674175262,
0.004769762046635151,
-0.059286750853061676,
0.09677797555923462,
-0.01345137320458889,
0.02318219281733036,
0.008158085867762566,
0.08070162683725357,
0.008075319230556488,
-0.07446371763944626,
0.050925400108098984,
-0.10156114399433136,
0.019539572298526764,
-0.04730646684765816,
-0.06704852730035782,
2.268070615834517e-33,
-0.06475090980529785,
0.0034667816944420338,
0.005400204099714756,
-0.014969290234148502,
0.05174384266138077,
-0.04384298622608185,
-0.022453248500823975,
0.039126645773649216,
0.009753020480275154,
-0.041657328605651855,
0.019241686910390854,
0.041793931275606155,
-0.03212928771972656,
0.023532364517450333,
0.07391739636659622,
-0.05621061846613884,
-0.028606757521629333,
0.014531692489981651,
0.03552548587322235,
-0.06867440789937973,
0.05878825485706329,
-0.07891292124986649,
-0.02130846492946148,
-0.02116762101650238,
0.06873179972171783,
0.0028129168786108494,
0.03701851889491081,
-0.05883272364735603,
0.10039682686328888,
0.015816982835531235,
-0.07206496596336365,
-0.029424160718917847,
0.0006868806085549295,
-0.02251299098134041,
0.0188404880464077,
0.004086128901690245,
-0.06575480103492737,
-0.0492033027112484,
0.0026596910320222378,
0.03483450785279274,
-0.06036272644996643,
0.06718273460865021,
-0.055703528225421906,
-0.03115401789546013,
-0.04037674888968468,
-0.12109483778476715,
0.039262671023607254,
0.042940959334373474,
-0.1133982464671135,
0.03383234888315201,
0.0296622421592474,
0.01871207356452942,
-0.026756150647997856,
-0.018580859526991844,
-0.02955477498471737,
-0.006053654011338949,
0.04577381908893585,
0.010163540951907635,
0.050617676228284836,
0.014846649952232838,
-0.03439905494451523,
0.00768666435033083,
-0.006415985990315676,
0.013857344165444374,
-0.002817673608660698,
-0.09383159875869751,
0.00849731732159853,
0.011048201471567154,
-0.016836272552609444,
0.046576470136642456,
0.07948163896799088,
-0.030682886019349098,
0.0829753503203392,
-0.046210724860429764,
0.003553385380655527,
0.0490071140229702,
0.017157835885882378,
0.015173247084021568,
-0.12871728837490082,
0.005147972609847784,
0.05209843069314957,
-0.016483597457408905,
-0.022387439385056496,
-0.060689277946949005,
-0.02773992344737053,
-0.0805106982588768,
0.0273243747651577,
-0.09213946759700775,
-0.12358306348323822,
0.05879366025328636,
-0.07967501133680344,
0.05377072095870972,
0.0024589519016444683,
-0.009390373714268208,
-0.04835973680019379,
-1.9060545389667388e-33,
-0.030454376712441444,
-0.01729506254196167,
0.0032467779237776995,
-0.021286265924572945,
0.055443163961172104,
-0.06560829281806946,
-0.02841321751475334,
-0.04726562276482582,
-0.035569045692682266,
-0.04919695854187012,
-0.052056875079870224,
-0.03854689002037048,
-0.02371995337307453,
0.04615765064954758,
0.014524012804031372,
-0.02821968123316765,
0.027503490447998047,
-0.05548636242747307,
-0.08511363714933395,
0.052344173192977905,
-0.03908226266503334,
0.03062828816473484,
-0.04825178533792496,
-0.03989541530609131,
0.009450681507587433,
0.030215414240956306,
0.01355238538235426,
0.08944589644670486,
-0.019696097820997238,
0.024442175403237343,
-0.13114352524280548,
-0.055550649762153625,
0.019622769206762314,
-0.11115670204162598,
0.06245773658156395,
0.06490443646907806,
0.05870259925723076,
0.10639235377311707,
-0.017647184431552887,
0.06765617430210114,
0.1480943262577057,
-0.020725661888718605,
-0.029918592423200607,
-0.02252739854156971,
-0.024955205619335175,
0.014270864427089691,
-0.11337316781282425,
0.05020594224333763,
-0.046700358390808105,
0.00646889116615057,
0.1376509964466095,
0.03488217666745186,
-0.09623248130083084,
0.03226274624466896,
0.00362650235183537,
-0.012994830496609211,
0.018880264833569527,
-0.02146049402654171,
0.03436627611517906,
-0.03300176188349724,
0.07413942366838455,
-0.09543726593255997,
0.030261721462011337,
0.06155365705490112,
-0.018150679767131805,
-0.06804067641496658,
0.0013838972663506866,
-0.01241934671998024,
0.0024162842892110348,
0.01589386723935604,
-0.07654225826263428,
-0.030897781252861023,
0.014169377274811268,
0.031063102185726166,
-0.0020717475563287735,
0.04534127563238144,
0.06209862232208252,
0.0051080407574772835,
-0.021520979702472687,
0.02906898409128189,
-0.04855434224009514,
0.10151098668575287,
-0.015237883664667606,
-0.10398317128419876,
0.08438931405544281,
0.03965556249022484,
0.01582915522158146,
0.010653862729668617,
0.007179969921708107,
0.003731503151357174,
-0.024622343480587006,
0.06314441561698914,
-0.0893435999751091,
0.09201747924089432,
-0.034281209111213684,
-4.331562308834691e-8,
-0.0769658237695694,
-0.03244294971227646,
0.07839968055486679,
0.0122299175709486,
-0.003365738084539771,
-0.04828725755214691,
0.04979722574353218,
-0.01803891733288765,
0.114388108253479,
0.04286773502826691,
0.08260577917098999,
0.007921612821519375,
0.03696293383836746,
-0.004466619808226824,
0.03166531026363373,
0.07688741385936737,
0.03521187976002693,
-0.0816689133644104,
-0.002572146477177739,
0.05106609687209129,
-0.03139423951506615,
-0.0018729777075350285,
-0.002710324712097645,
0.041084978729486465,
0.12937316298484802,
0.04775235801935196,
0.048169493675231934,
0.014173165895044804,
0.08368139714002609,
0.008124354295432568,
-0.034117717295885086,
0.009302021004259586,
0.02404758706688881,
-0.045646682381629944,
-0.04773576185107231,
0.014863351359963417,
-0.001604589051567018,
-0.03136885538697243,
0.005782133433967829,
0.07468065619468689,
0.0444522462785244,
-0.00508081866428256,
-0.03127399832010269,
0.016596801578998566,
-0.0354420468211174,
-0.06066007539629936,
-0.013435548171401024,
0.07620130479335785,
0.04548436403274536,
0.04462595283985138,
-0.07766235619783401,
-0.039487823843955994,
-0.025249799713492393,
-0.02736060507595539,
0.08552449196577072,
-0.05478612706065178,
0.007604594808071852,
-0.009931490756571293,
0.026743194088339806,
0.0078647555783391,
0.02132895030081272,
-0.014613742008805275,
-0.0945478230714798,
0.05226995050907135
] |
1401.7720
|
Erneson Oliveira
|
E. A. Oliveira, J. S. Andrade Jr. and H. A. Makse
|
Large cities are less green
| null |
Oliveira, E. A., Andrade Jr., J. S. and Makse, H. A. Large Cities
are less green. Sci. Rep. 4, 4235 (2014)
|
10.1038/srep04235
| null |
physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how urban quality evolves as a result of carbon dioxide emissions as
urban agglomerations grow. We employ a bottom-up approach combining two
unprecedented microscopic data on population and carbon dioxide emissions in
the continental US. We first aggregate settlements that are close to each other
into cities using the City Clustering Algorithm (CCA) defining cities beyond
the administrative boundaries. Then, we use data on $\rm{CO}_2$ emissions at a
fine geographic scale to determine the total emissions of each city. We find a
superlinear scaling behavior, expressed by a power-law, between $\rm{CO}_2$
emissions and city population with average allometric exponent $\beta = 1.46$
across all cities in the US. This result suggests that the high productivity of
large cities is done at the expense of a proportionally larger amount of
emissions compared to small cities. Furthermore, our results are substantially
different from those obtained by the standard administrative definition of
cities, i.e. Metropolitan Statistical Area (MSA). Specifically, MSAs display
isometric scaling emissions and we argue that this discrepancy is due to the
overestimation of MSA areas. The results suggest that allometric studies based
on administrative boundaries to define cities may suffer from endogeneity bias.
|
[
{
"created": "Thu, 30 Jan 2014 02:52:34 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2014 22:43:51 GMT",
"version": "v2"
}
] |
2014-09-15
|
[
[
"Oliveira",
"E. A.",
""
],
[
"Andrade",
"J. S.",
"Jr."
],
[
"Makse",
"H. A.",
""
]
] |
[
0.09016872197389603,
-0.06077224761247635,
0.06774730980396271,
0.08046942204236984,
0.018075333908200264,
0.0008526038727723062,
-0.04708756133913994,
0.014499582350254059,
-0.0355578288435936,
0.08103884756565094,
0.04268714040517807,
-0.09320676326751709,
-0.025160308927297592,
0.04527340084314346,
-0.014541569165885448,
0.037853218615055084,
0.024060174822807312,
-0.03079460747539997,
-0.025516843423247337,
-0.03529252111911774,
0.03648030012845993,
0.02400437742471695,
-0.008697662502527237,
0.026261545717716217,
0.050854966044425964,
0.0028100106865167618,
-0.023737488314509392,
0.03158244490623474,
0.018949059769511223,
0.04830008000135422,
0.02824394218623638,
0.08883274346590042,
0.07039733231067657,
0.008977346122264862,
0.055707622319459915,
-0.06807095557451248,
0.07385703921318054,
0.10004353523254395,
-0.008361343294382095,
0.0473686046898365,
-0.02799227088689804,
-0.01111101359128952,
0.009280904196202755,
-0.026391061022877693,
-0.054777711629867554,
0.004486480262130499,
-0.01192408800125122,
0.0285284835845232,
-0.05024726688861847,
-0.06791552156209946,
0.057760532945394516,
0.05491354316473007,
-0.08833029121160507,
-0.015218472108244896,
0.03229084610939026,
-0.0344909243285656,
0.03934900835156441,
-0.036666933447122574,
0.010814552195370197,
-0.0366763211786747,
0.04708188399672508,
-0.042488761246204376,
-0.04724779725074768,
-0.009058501571416855,
0.12022224068641663,
0.05408744141459465,
0.029009347781538963,
0.019427763298153877,
-0.04600658640265465,
-0.021556492894887924,
-0.002962209517136216,
-0.0527477003633976,
-0.0910605862736702,
0.01946907676756382,
0.06940821558237076,
-0.03030148707330227,
-0.1188480406999588,
0.03689514100551605,
0.051274050027132034,
-0.02571975439786911,
0.019809722900390625,
-0.01144755631685257,
-0.011664386838674545,
0.002261500107124448,
-0.015161817893385887,
0.0078043886460363865,
-0.006735585164278746,
-0.02208671160042286,
0.00730790663510561,
-0.0063416496850550175,
-0.01933986321091652,
0.12061511725187302,
0.025833604857325554,
-0.006805498152971268,
0.0011583617888391018,
0.0053249686025083065,
0.021299073472619057,
-0.05895006284117699,
0.13326501846313477,
0.0011862784158438444,
-0.01873805932700634,
-0.04170248284935951,
-0.010825198143720627,
-0.02102346532046795,
0.03026319295167923,
-0.04620170593261719,
0.04826055467128754,
-0.024950530380010605,
0.04357872158288956,
0.04713258147239685,
0.02159043960273266,
-0.00259161158464849,
-0.09942105412483215,
0.029222548007965088,
-0.003732222830876708,
0.017734510824084282,
0.12938955426216125,
0.028066907078027725,
0.017351776361465454,
-0.05611807852983475,
-0.00925879180431366,
-0.0166777390986681,
-0.0664081871509552,
0.08795777708292007,
0.07413410395383835,
0.041732802987098694,
-0.05553935095667839,
1.1864123056185265e-33,
-0.03306162357330322,
-0.033644016832113266,
0.07348038256168365,
0.015768060460686684,
-0.03463439270853996,
-0.06175161525607109,
-0.0792638286948204,
-0.07678323984146118,
0.03416845202445984,
0.031076256185770035,
-0.01924528367817402,
0.05973430350422859,
0.07222962379455566,
0.014348670840263367,
0.16848400235176086,
0.01576281152665615,
0.043993715196847916,
0.02194877155125141,
-0.07597619295120239,
-0.05675677955150604,
0.0025655494537204504,
-0.011543224565684795,
0.09425268322229385,
0.009456201456487179,
-0.024030663073062897,
-0.053324054926633835,
0.002255155937746167,
0.019755767658352852,
-0.03237979859113693,
-0.01770291104912758,
0.020503729581832886,
0.030181244015693665,
0.0040278625674545765,
0.04159541428089142,
0.001337051042355597,
-0.010467314161360264,
0.022122303023934364,
-0.0005560811259783804,
-0.08356475830078125,
-0.00974661111831665,
-0.06250356882810593,
0.004576182458549738,
-0.04348757490515709,
-0.06848765164613724,
0.06326065957546234,
0.001001155935227871,
0.031590014696121216,
-0.032572224736213684,
0.060294218361377716,
-0.0696086585521698,
-0.023397473618388176,
0.028060780838131905,
-0.031262923032045364,
0.023119550198316574,
-0.021567653864622116,
0.10820603370666504,
0.021968046203255653,
-0.04456488415598869,
0.017166603356599808,
0.04027983173727989,
-0.10828553885221481,
-0.017492465674877167,
0.036837685853242874,
0.010165737010538578,
0.062173184007406235,
-0.047227658331394196,
0.012857692316174507,
0.09090766310691833,
0.07299294322729111,
0.05151739344000816,
0.08065477013587952,
0.06173442304134369,
0.06348120421171188,
0.024332165718078613,
0.006168477237224579,
-0.037712741643190384,
0.014030045829713345,
0.05552034452557564,
-0.060005538165569305,
0.04088506102561951,
-0.07113755494356155,
-0.036461737006902695,
-0.08920181542634964,
-0.1263008713722229,
0.043037619441747665,
-0.04880967736244202,
0.024690914899110794,
-0.03313702344894409,
0.017184846103191376,
-0.0016121664084494114,
-0.08288183808326721,
-0.05478645861148834,
-0.011311259120702744,
-0.003008799394592643,
-0.07931463420391083,
-3.9852843750645554e-33,
-0.04732109233736992,
0.007515652570873499,
0.021670838817954063,
-0.026176977902650833,
-0.0878872349858284,
0.0018196607707068324,
-0.07470887899398804,
-0.04463757947087288,
0.017456956207752228,
-0.0321238674223423,
-0.06289508938789368,
0.07828433811664581,
0.10720914602279663,
-0.022781632840633392,
0.06131495162844658,
0.0002299770130775869,
0.06042966619133949,
-0.008436684496700764,
-0.011517934501171112,
-0.030314991250634193,
0.05147217586636543,
-0.09358257800340652,
0.0048223696649074554,
-0.02677728608250618,
-0.05051064118742943,
-0.057180751115083694,
-0.12103130668401718,
-0.01388839166611433,
0.026912298053503036,
0.012268898077309132,
-0.03729774430394173,
0.07261482626199722,
-0.045719683170318604,
0.008494946174323559,
-0.07004263252019882,
-0.04644234478473663,
0.06489843875169754,
-0.0022821202874183655,
-0.010476363822817802,
-0.02588754892349243,
-0.08732661604881287,
-0.047733329236507416,
-0.0004900849889963865,
-0.03823201358318329,
0.09935969114303589,
-0.01971067488193512,
-0.039576251059770584,
-0.008832696825265884,
-0.085100919008255,
-0.047560542821884155,
0.08804476261138916,
0.062439966946840286,
-0.1215926930308342,
0.07467364519834518,
0.0046623521484434605,
0.09660264849662781,
0.05378318950533867,
0.0392068587243557,
-0.06810322403907776,
-0.053243573755025864,
0.058201808482408524,
-0.03971852734684944,
-0.08179569989442825,
0.05798384174704552,
-0.04748278483748436,
-0.049562934786081314,
0.014481752179563046,
-0.10312113165855408,
0.02522728592157364,
-0.0317218042910099,
-0.08166588842868805,
-0.023212501779198647,
-0.08271915465593338,
-0.015070110559463501,
-0.12048504501581192,
-0.004314997233450413,
0.07233451306819916,
-0.009850644506514072,
0.00391360791400075,
0.013135132379829884,
-0.07099970430135727,
0.06454440206289291,
0.023393526673316956,
0.0004318979918025434,
0.06076651066541672,
-0.04018603637814522,
0.03677329793572426,
-0.041960492730140686,
0.0292398352175951,
0.11297271400690079,
-0.11704002320766449,
0.02391302026808262,
-0.1046045571565628,
-0.06464960426092148,
-0.003966590855270624,
-5.123890645108986e-8,
-0.004816888365894556,
0.03964141383767128,
-0.020287543535232544,
-0.005391646176576614,
0.01834854483604431,
0.01721927896142006,
0.00806750264018774,
0.09803903847932816,
-0.043363068252801895,
0.022604316473007202,
0.026455527171492577,
0.006541023030877113,
-0.0017890542512759566,
0.017967896535992622,
-0.011217181570827961,
-0.04265977442264557,
0.0057684145867824554,
-0.04067832976579666,
-0.028594613075256348,
-0.023712337017059326,
-0.038714513182640076,
0.030623983591794968,
-0.07780119776725769,
-0.007121311035007238,
0.004905124194920063,
-0.02556195668876171,
-0.042590752243995667,
0.05753304064273834,
0.003607387188822031,
0.0017784918891265988,
0.04806295782327652,
0.018133223056793213,
0.04333222657442093,
-0.013152780011296272,
0.041207004338502884,
-0.06792481988668442,
0.04342349246144295,
0.0432312935590744,
0.01440555602312088,
-0.0029053075704723597,
0.06939151883125305,
-0.022767050191760063,
-0.01097190286964178,
0.04284464940428734,
0.06826931238174438,
-0.01892104558646679,
-0.017060935497283936,
0.003642867086455226,
0.10305855423212051,
-0.0043052746914327145,
0.02514943666756153,
-0.060226231813430786,
-0.06310143321752548,
-0.01121990755200386,
0.0563042126595974,
-0.05353417620062828,
-0.06703324615955353,
-0.004941311664879322,
0.037096764892339706,
-0.01996656320989132,
0.10448816418647766,
-0.025957375764846802,
-0.09637890011072159,
-0.03493597358465195
] | null | null | null | null | null | null | null |
[
0.09016872197389603,
-0.06077224761247635,
0.06774730980396271,
0.08046942204236984,
0.018075333908200264,
0.0008526038727723062,
-0.04708756133913994,
0.014499582350254059,
-0.0355578288435936,
0.08103884756565094,
0.04268714040517807,
-0.09320676326751709,
-0.025160308927297592,
0.04527340084314346,
-0.014541569165885448,
0.037853218615055084,
0.024060174822807312,
-0.03079460747539997,
-0.025516843423247337,
-0.03529252111911774,
0.03648030012845993,
0.02400437742471695,
-0.008697662502527237,
0.026261545717716217,
0.050854966044425964,
0.0028100106865167618,
-0.023737488314509392,
0.03158244490623474,
0.018949059769511223,
0.04830008000135422,
0.02824394218623638,
0.08883274346590042,
0.07039733231067657,
0.008977346122264862,
0.055707622319459915,
-0.06807095557451248,
0.07385703921318054,
0.10004353523254395,
-0.008361343294382095,
0.0473686046898365,
-0.02799227088689804,
-0.01111101359128952,
0.009280904196202755,
-0.026391061022877693,
-0.054777711629867554,
0.004486480262130499,
-0.01192408800125122,
0.0285284835845232,
-0.05024726688861847,
-0.06791552156209946,
0.057760532945394516,
0.05491354316473007,
-0.08833029121160507,
-0.015218472108244896,
0.03229084610939026,
-0.0344909243285656,
0.03934900835156441,
-0.036666933447122574,
0.010814552195370197,
-0.0366763211786747,
0.04708188399672508,
-0.042488761246204376,
-0.04724779725074768,
-0.009058501571416855,
0.12022224068641663,
0.05408744141459465,
0.029009347781538963,
0.019427763298153877,
-0.04600658640265465,
-0.021556492894887924,
-0.002962209517136216,
-0.0527477003633976,
-0.0910605862736702,
0.01946907676756382,
0.06940821558237076,
-0.03030148707330227,
-0.1188480406999588,
0.03689514100551605,
0.051274050027132034,
-0.02571975439786911,
0.019809722900390625,
-0.01144755631685257,
-0.011664386838674545,
0.002261500107124448,
-0.015161817893385887,
0.0078043886460363865,
-0.006735585164278746,
-0.02208671160042286,
0.00730790663510561,
-0.0063416496850550175,
-0.01933986321091652,
0.12061511725187302,
0.025833604857325554,
-0.006805498152971268,
0.0011583617888391018,
0.0053249686025083065,
0.021299073472619057,
-0.05895006284117699,
0.13326501846313477,
0.0011862784158438444,
-0.01873805932700634,
-0.04170248284935951,
-0.010825198143720627,
-0.02102346532046795,
0.03026319295167923,
-0.04620170593261719,
0.04826055467128754,
-0.024950530380010605,
0.04357872158288956,
0.04713258147239685,
0.02159043960273266,
-0.00259161158464849,
-0.09942105412483215,
0.029222548007965088,
-0.003732222830876708,
0.017734510824084282,
0.12938955426216125,
0.028066907078027725,
0.017351776361465454,
-0.05611807852983475,
-0.00925879180431366,
-0.0166777390986681,
-0.0664081871509552,
0.08795777708292007,
0.07413410395383835,
0.041732802987098694,
-0.05553935095667839,
1.1864123056185265e-33,
-0.03306162357330322,
-0.033644016832113266,
0.07348038256168365,
0.015768060460686684,
-0.03463439270853996,
-0.06175161525607109,
-0.0792638286948204,
-0.07678323984146118,
0.03416845202445984,
0.031076256185770035,
-0.01924528367817402,
0.05973430350422859,
0.07222962379455566,
0.014348670840263367,
0.16848400235176086,
0.01576281152665615,
0.043993715196847916,
0.02194877155125141,
-0.07597619295120239,
-0.05675677955150604,
0.0025655494537204504,
-0.011543224565684795,
0.09425268322229385,
0.009456201456487179,
-0.024030663073062897,
-0.053324054926633835,
0.002255155937746167,
0.019755767658352852,
-0.03237979859113693,
-0.01770291104912758,
0.020503729581832886,
0.030181244015693665,
0.0040278625674545765,
0.04159541428089142,
0.001337051042355597,
-0.010467314161360264,
0.022122303023934364,
-0.0005560811259783804,
-0.08356475830078125,
-0.00974661111831665,
-0.06250356882810593,
0.004576182458549738,
-0.04348757490515709,
-0.06848765164613724,
0.06326065957546234,
0.001001155935227871,
0.031590014696121216,
-0.032572224736213684,
0.060294218361377716,
-0.0696086585521698,
-0.023397473618388176,
0.028060780838131905,
-0.031262923032045364,
0.023119550198316574,
-0.021567653864622116,
0.10820603370666504,
0.021968046203255653,
-0.04456488415598869,
0.017166603356599808,
0.04027983173727989,
-0.10828553885221481,
-0.017492465674877167,
0.036837685853242874,
0.010165737010538578,
0.062173184007406235,
-0.047227658331394196,
0.012857692316174507,
0.09090766310691833,
0.07299294322729111,
0.05151739344000816,
0.08065477013587952,
0.06173442304134369,
0.06348120421171188,
0.024332165718078613,
0.006168477237224579,
-0.037712741643190384,
0.014030045829713345,
0.05552034452557564,
-0.060005538165569305,
0.04088506102561951,
-0.07113755494356155,
-0.036461737006902695,
-0.08920181542634964,
-0.1263008713722229,
0.043037619441747665,
-0.04880967736244202,
0.024690914899110794,
-0.03313702344894409,
0.017184846103191376,
-0.0016121664084494114,
-0.08288183808326721,
-0.05478645861148834,
-0.011311259120702744,
-0.003008799394592643,
-0.07931463420391083,
-3.9852843750645554e-33,
-0.04732109233736992,
0.007515652570873499,
0.021670838817954063,
-0.026176977902650833,
-0.0878872349858284,
0.0018196607707068324,
-0.07470887899398804,
-0.04463757947087288,
0.017456956207752228,
-0.0321238674223423,
-0.06289508938789368,
0.07828433811664581,
0.10720914602279663,
-0.022781632840633392,
0.06131495162844658,
0.0002299770130775869,
0.06042966619133949,
-0.008436684496700764,
-0.011517934501171112,
-0.030314991250634193,
0.05147217586636543,
-0.09358257800340652,
0.0048223696649074554,
-0.02677728608250618,
-0.05051064118742943,
-0.057180751115083694,
-0.12103130668401718,
-0.01388839166611433,
0.026912298053503036,
0.012268898077309132,
-0.03729774430394173,
0.07261482626199722,
-0.045719683170318604,
0.008494946174323559,
-0.07004263252019882,
-0.04644234478473663,
0.06489843875169754,
-0.0022821202874183655,
-0.010476363822817802,
-0.02588754892349243,
-0.08732661604881287,
-0.047733329236507416,
-0.0004900849889963865,
-0.03823201358318329,
0.09935969114303589,
-0.01971067488193512,
-0.039576251059770584,
-0.008832696825265884,
-0.085100919008255,
-0.047560542821884155,
0.08804476261138916,
0.062439966946840286,
-0.1215926930308342,
0.07467364519834518,
0.0046623521484434605,
0.09660264849662781,
0.05378318950533867,
0.0392068587243557,
-0.06810322403907776,
-0.053243573755025864,
0.058201808482408524,
-0.03971852734684944,
-0.08179569989442825,
0.05798384174704552,
-0.04748278483748436,
-0.049562934786081314,
0.014481752179563046,
-0.10312113165855408,
0.02522728592157364,
-0.0317218042910099,
-0.08166588842868805,
-0.023212501779198647,
-0.08271915465593338,
-0.015070110559463501,
-0.12048504501581192,
-0.004314997233450413,
0.07233451306819916,
-0.009850644506514072,
0.00391360791400075,
0.013135132379829884,
-0.07099970430135727,
0.06454440206289291,
0.023393526673316956,
0.0004318979918025434,
0.06076651066541672,
-0.04018603637814522,
0.03677329793572426,
-0.041960492730140686,
0.0292398352175951,
0.11297271400690079,
-0.11704002320766449,
0.02391302026808262,
-0.1046045571565628,
-0.06464960426092148,
-0.003966590855270624,
-5.123890645108986e-8,
-0.004816888365894556,
0.03964141383767128,
-0.020287543535232544,
-0.005391646176576614,
0.01834854483604431,
0.01721927896142006,
0.00806750264018774,
0.09803903847932816,
-0.043363068252801895,
0.022604316473007202,
0.026455527171492577,
0.006541023030877113,
-0.0017890542512759566,
0.017967896535992622,
-0.011217181570827961,
-0.04265977442264557,
0.0057684145867824554,
-0.04067832976579666,
-0.028594613075256348,
-0.023712337017059326,
-0.038714513182640076,
0.030623983591794968,
-0.07780119776725769,
-0.007121311035007238,
0.004905124194920063,
-0.02556195668876171,
-0.042590752243995667,
0.05753304064273834,
0.003607387188822031,
0.0017784918891265988,
0.04806295782327652,
0.018133223056793213,
0.04333222657442093,
-0.013152780011296272,
0.041207004338502884,
-0.06792481988668442,
0.04342349246144295,
0.0432312935590744,
0.01440555602312088,
-0.0029053075704723597,
0.06939151883125305,
-0.022767050191760063,
-0.01097190286964178,
0.04284464940428734,
0.06826931238174438,
-0.01892104558646679,
-0.017060935497283936,
0.003642867086455226,
0.10305855423212051,
-0.0043052746914327145,
0.02514943666756153,
-0.060226231813430786,
-0.06310143321752548,
-0.01121990755200386,
0.0563042126595974,
-0.05353417620062828,
-0.06703324615955353,
-0.004941311664879322,
0.037096764892339706,
-0.01996656320989132,
0.10448816418647766,
-0.025957375764846802,
-0.09637890011072159,
-0.03493597358465195
] |
1401.7727
|
Benjamin Rubinstein
|
Battista Biggio and Igino Corona and Blaine Nelson and Benjamin I. P.
Rubinstein and Davide Maiorca and Giorgio Fumera and Giorgio Giacinto and and
Fabio Roli
|
Security Evaluation of Support Vector Machines in Adversarial
Environments
|
47 pages, 9 figures; chapter accepted into book 'Support Vector
Machine Applications'
| null | null | null |
cs.LG cs.CR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Support Vector Machines (SVMs) are among the most popular classification
techniques adopted in security applications like malware detection, intrusion
detection, and spam filtering. However, if SVMs are to be incorporated in
real-world security systems, they must be able to cope with attack patterns
that can either mislead the learning algorithm (poisoning), evade detection
(evasion), or gain information about their internal parameters (privacy
breaches). The main contributions of this chapter are twofold. First, we
introduce a formal general framework for the empirical evaluation of the
security of machine-learning systems. Second, according to our framework, we
demonstrate the feasibility of evasion, poisoning and privacy attacks against
SVMs in real-world security problems. For each attack technique, we evaluate
its impact and discuss whether (and how) it can be countered through an
adversary-aware design of SVMs. Our experiments are easily reproducible thanks
to open-source code that we have made available, together with all the employed
datasets, on a public repository.
|
[
{
"created": "Thu, 30 Jan 2014 03:37:18 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Biggio",
"Battista",
""
],
[
"Corona",
"Igino",
""
],
[
"Nelson",
"Blaine",
""
],
[
"Rubinstein",
"Benjamin I. P.",
""
],
[
"Maiorca",
"Davide",
""
],
[
"Fumera",
"Giorgio",
""
],
[
"Giacinto",
"Giorgio",
""
],
[
"Roli",
"and Fabio",
""
]
] |
[
-0.08598362654447556,
-0.02227628603577614,
-0.026625249534845352,
0.02804959937930107,
0.10803826153278351,
0.005063885822892189,
0.08711560070514679,
-0.07579123973846436,
-0.037376269698143005,
0.004145700950175524,
-0.018444256857037544,
-0.012587039731442928,
0.05441231280565262,
-0.05038980022072792,
-0.003712486708536744,
-0.017015133053064346,
0.03317547217011452,
0.044805292040109634,
0.0013862026389688253,
0.013071464374661446,
-0.05469123274087906,
-0.005042203702032566,
-0.029834186658263206,
0.028523944318294525,
-0.016349628567695618,
-0.03187216445803642,
0.058268748223781586,
-0.0018698391504585743,
-0.04943852871656418,
-0.044971875846385956,
0.0928141176700592,
-0.04769415035843849,
-0.03430714085698128,
0.020299898460507393,
-0.07322993874549866,
-0.019856151193380356,
0.044001657515764236,
0.011891460046172142,
-0.08551202714443207,
-0.006680311635136604,
-0.018053028732538223,
-0.01163322851061821,
-0.01567155122756958,
0.06916401535272598,
-0.03810640424489975,
0.060498058795928955,
-0.003985908348113298,
-0.06921915709972382,
-0.0014092657947912812,
-0.0710725411772728,
-0.08125190436840057,
-0.030691320076584816,
-0.03172922879457474,
0.039165887981653214,
-0.08946464210748672,
-0.11009284853935242,
-0.02784975804388523,
0.006372075527906418,
-0.026126082986593246,
0.04012283310294151,
-0.03688235953450203,
-0.0768611878156662,
0.019519656896591187,
0.0312072541564703,
-0.03505561873316765,
-0.025504637509584427,
0.03472007066011429,
0.0892096608877182,
0.01202737633138895,
0.040175218135118484,
0.017183003947138786,
0.09302938729524612,
-0.08291241526603699,
0.01740557700395584,
0.001769718830473721,
0.09431663900613785,
-0.02159128151834011,
-0.01335228979587555,
0.016729827970266342,
-0.023126624524593353,
0.007157502230256796,
-0.0027514530811458826,
-0.008015736937522888,
0.039347752928733826,
0.09862740337848663,
0.04119306802749634,
-0.01579248160123825,
-0.029520295560359955,
0.05192630738019943,
0.06838041543960571,
0.027706237509846687,
0.02123231813311577,
0.08994031697511673,
-0.0078408969566226,
0.07405779510736465,
-0.004632539115846157,
0.008500068448483944,
-0.062014851719141006,
-0.016367338597774506,
0.09856569021940231,
-0.06430356949567795,
0.042008303105831146,
-0.01792728342115879,
-0.056472908705472946,
0.09432192146778107,
0.07969969511032104,
-0.001037453766912222,
-0.029542546719312668,
0.10958091914653778,
-0.017061833292245865,
0.017575226724147797,
0.044541459530591965,
-0.034263573586940765,
-0.08478642255067825,
0.0222555473446846,
-0.022369204089045525,
0.010879102163016796,
-0.00047605831059627235,
-0.011308175511658192,
0.04808160290122032,
0.01318703405559063,
0.049293652176856995,
0.03450809419155121,
-0.007046266458928585,
-0.011697018519043922,
-0.012125078588724136,
-0.11164209991693497,
-4.848009158327299e-34,
-0.0729050561785698,
-0.015940586104989052,
-0.055244870483875275,
-0.0027976951096206903,
0.002910737646743655,
-0.09638750553131104,
-0.0008737034513615072,
0.0572206936776638,
0.03055579960346222,
0.027658939361572266,
-0.07270929962396622,
0.011639729142189026,
0.0829755961894989,
0.06473012268543243,
0.08759907633066177,
0.09987141191959381,
0.03505582734942436,
0.059036653488874435,
-0.0059032319113612175,
-0.10696969926357269,
0.09520125389099121,
-0.08202948421239853,
0.037627167999744415,
-0.03945475071668625,
0.06444944441318512,
-0.020191406831145287,
0.0048795780166983604,
0.04555201902985573,
0.019690219312906265,
0.015475156717002392,
-0.02260945364832878,
0.03941758722066879,
0.0357898473739624,
0.07306763529777527,
0.07353908568620682,
0.018459878861904144,
-0.03498463332653046,
0.005445168353617191,
0.04198438301682472,
0.020207243040204048,
-0.04266880080103874,
-0.0520365908741951,
0.020061805844306946,
0.006058727856725454,
-0.0029050586745142937,
0.01840144768357277,
-0.05701201409101486,
-0.033201780170202255,
0.012643254362046719,
-0.0803539827466011,
-0.02223062887787819,
-0.019069282338023186,
-0.02372119575738907,
0.04379403963685036,
-0.05080009996891022,
0.050262581557035446,
0.006331491284072399,
0.002690698020160198,
-0.023758426308631897,
0.023656299337744713,
-0.03093923069536686,
0.07025281339883804,
0.007255442440509796,
-0.028233034536242485,
-0.055284518748521805,
-0.04022711515426636,
0.04907812178134918,
-0.002456445014104247,
0.007955735549330711,
-0.004868884105235338,
-0.00014660660235676914,
0.0008667836664244533,
-0.027834560722112656,
-0.01574377529323101,
-0.009424847550690174,
-0.005831659771502018,
0.11380325257778168,
-0.008827216923236847,
0.02757059969007969,
0.033844150602817535,
0.043138302862644196,
-0.06205671280622482,
0.08698835223913193,
-0.013120705261826515,
-0.06231687217950821,
-0.023941770195961,
-0.014878610149025917,
-0.047287579625844955,
-0.0711463987827301,
0.052869390696287155,
-0.07918814569711685,
-0.08278602361679077,
-0.010279975831508636,
-0.012652034871280193,
-0.06901475042104721,
-1.1340423792504627e-33,
-0.10977422446012497,
0.02729184553027153,
-0.060011815279722214,
0.02619401551783085,
-0.059443723410367966,
-0.00013789588410872966,
-0.07873218506574631,
0.09159404039382935,
-0.05348160117864609,
0.0013771705562248826,
-0.03847028687596321,
0.03659334406256676,
0.08790519088506699,
0.0001408489770255983,
-0.03535185381770134,
0.030149027705192566,
-0.03366318345069885,
0.05019751563668251,
-0.09929956495761871,
-0.001158988568931818,
-0.04674798622727394,
0.11668077856302261,
-0.022550251334905624,
0.009989656507968903,
0.0408250130712986,
-0.01822916977107525,
-0.014325173571705818,
0.06115498021245003,
0.029354505240917206,
0.05580569803714752,
-0.05035419389605522,
-0.020309222862124443,
0.006528593134135008,
-0.019598156213760376,
0.01294891070574522,
0.0011211682576686144,
0.058719586580991745,
-0.00973605364561081,
0.0070463973097503185,
0.06750502437353134,
0.0017107881139963865,
0.050866030156612396,
-0.11364203691482544,
-0.04374914988875389,
-0.029831206426024437,
-0.03889654949307442,
0.012196477502584457,
0.05183377489447594,
0.03813892602920532,
-0.05739550665020943,
0.012896014377474785,
0.024516303092241287,
0.0084567591547966,
0.05608925223350525,
-0.01683446578681469,
-0.05631661042571068,
-0.012290298007428646,
0.011650633998215199,
0.027302119880914688,
0.0741211399435997,
-0.06020177900791168,
-0.030839210376143456,
0.010228080675005913,
-0.022136379033327103,
0.044860534369945526,
-0.024867765605449677,
-0.05304412171244621,
0.06656128168106079,
-0.04521576315164566,
-0.046175625175237656,
0.07079575210809708,
0.008100555278360844,
-0.05801589787006378,
0.032470934092998505,
-0.04627501219511032,
-0.052309125661849976,
0.03334788605570793,
-0.08286077529191971,
-0.056787725538015366,
0.06264971196651459,
0.1168331429362297,
-0.09621644765138626,
0.08220527321100235,
0.053250767290592194,
0.0528714619576931,
0.036520808935165405,
0.0921478122472763,
-0.07781080156564713,
0.025456078350543976,
0.01907888427376747,
-0.009947177954018116,
0.03396958112716675,
-0.04773588106036186,
0.05698603019118309,
0.03529050573706627,
-3.9976683297027193e-8,
0.0189215037971735,
0.04458793252706528,
0.039425041526556015,
-0.010266246274113655,
0.0792183205485344,
0.08263499289751053,
-0.10831546783447266,
0.03359867259860039,
-0.12114447355270386,
-0.02287108637392521,
0.03425203263759613,
0.030466627329587936,
-0.021598320454359055,
-0.06597777456045151,
-0.001637442852370441,
0.0022651588078588247,
-0.05254064500331879,
0.03289975970983505,
-0.046426206827163696,
0.000983907957561314,
0.015168840065598488,
0.019346721470355988,
0.008632408455014229,
-0.033827394247055054,
0.06813487410545349,
-0.0555199533700943,
-0.015080585144460201,
-0.01190552581101656,
0.04724143072962761,
0.11885736137628555,
-0.10701828449964523,
-0.0094077093526721,
-0.010259433649480343,
-0.007434005383402109,
0.0041017900221049786,
0.15630319714546204,
-0.046443477272987366,
-0.051314204931259155,
-0.0277540385723114,
0.0051031229086220264,
-0.06256481260061264,
-0.00458708219230175,
0.013502469286322594,
-0.0024067412596195936,
-0.10023292899131775,
0.02688067965209484,
-0.0004965313710272312,
-0.1253485381603241,
0.008097824640572071,
-0.04938744008541107,
0.09598221629858017,
-0.004250777419656515,
0.01920494996011257,
0.14012277126312256,
0.024905789643526077,
-0.03336412087082863,
-0.048787496984004974,
-0.04029291123151779,
0.04134182631969452,
0.1350179761648178,
0.05986246466636658,
0.014693799428641796,
0.022561583667993546,
0.04335896670818329
] | null | null | null | null | null | null | null |
[
-0.08598362654447556,
-0.02227628603577614,
-0.026625249534845352,
0.02804959937930107,
0.10803826153278351,
0.005063885822892189,
0.08711560070514679,
-0.07579123973846436,
-0.037376269698143005,
0.004145700950175524,
-0.018444256857037544,
-0.012587039731442928,
0.05441231280565262,
-0.05038980022072792,
-0.003712486708536744,
-0.017015133053064346,
0.03317547217011452,
0.044805292040109634,
0.0013862026389688253,
0.013071464374661446,
-0.05469123274087906,
-0.005042203702032566,
-0.029834186658263206,
0.028523944318294525,
-0.016349628567695618,
-0.03187216445803642,
0.058268748223781586,
-0.0018698391504585743,
-0.04943852871656418,
-0.044971875846385956,
0.0928141176700592,
-0.04769415035843849,
-0.03430714085698128,
0.020299898460507393,
-0.07322993874549866,
-0.019856151193380356,
0.044001657515764236,
0.011891460046172142,
-0.08551202714443207,
-0.006680311635136604,
-0.018053028732538223,
-0.01163322851061821,
-0.01567155122756958,
0.06916401535272598,
-0.03810640424489975,
0.060498058795928955,
-0.003985908348113298,
-0.06921915709972382,
-0.0014092657947912812,
-0.0710725411772728,
-0.08125190436840057,
-0.030691320076584816,
-0.03172922879457474,
0.039165887981653214,
-0.08946464210748672,
-0.11009284853935242,
-0.02784975804388523,
0.006372075527906418,
-0.026126082986593246,
0.04012283310294151,
-0.03688235953450203,
-0.0768611878156662,
0.019519656896591187,
0.0312072541564703,
-0.03505561873316765,
-0.025504637509584427,
0.03472007066011429,
0.0892096608877182,
0.01202737633138895,
0.040175218135118484,
0.017183003947138786,
0.09302938729524612,
-0.08291241526603699,
0.01740557700395584,
0.001769718830473721,
0.09431663900613785,
-0.02159128151834011,
-0.01335228979587555,
0.016729827970266342,
-0.023126624524593353,
0.007157502230256796,
-0.0027514530811458826,
-0.008015736937522888,
0.039347752928733826,
0.09862740337848663,
0.04119306802749634,
-0.01579248160123825,
-0.029520295560359955,
0.05192630738019943,
0.06838041543960571,
0.027706237509846687,
0.02123231813311577,
0.08994031697511673,
-0.0078408969566226,
0.07405779510736465,
-0.004632539115846157,
0.008500068448483944,
-0.062014851719141006,
-0.016367338597774506,
0.09856569021940231,
-0.06430356949567795,
0.042008303105831146,
-0.01792728342115879,
-0.056472908705472946,
0.09432192146778107,
0.07969969511032104,
-0.001037453766912222,
-0.029542546719312668,
0.10958091914653778,
-0.017061833292245865,
0.017575226724147797,
0.044541459530591965,
-0.034263573586940765,
-0.08478642255067825,
0.0222555473446846,
-0.022369204089045525,
0.010879102163016796,
-0.00047605831059627235,
-0.011308175511658192,
0.04808160290122032,
0.01318703405559063,
0.049293652176856995,
0.03450809419155121,
-0.007046266458928585,
-0.011697018519043922,
-0.012125078588724136,
-0.11164209991693497,
-4.848009158327299e-34,
-0.0729050561785698,
-0.015940586104989052,
-0.055244870483875275,
-0.0027976951096206903,
0.002910737646743655,
-0.09638750553131104,
-0.0008737034513615072,
0.0572206936776638,
0.03055579960346222,
0.027658939361572266,
-0.07270929962396622,
0.011639729142189026,
0.0829755961894989,
0.06473012268543243,
0.08759907633066177,
0.09987141191959381,
0.03505582734942436,
0.059036653488874435,
-0.0059032319113612175,
-0.10696969926357269,
0.09520125389099121,
-0.08202948421239853,
0.037627167999744415,
-0.03945475071668625,
0.06444944441318512,
-0.020191406831145287,
0.0048795780166983604,
0.04555201902985573,
0.019690219312906265,
0.015475156717002392,
-0.02260945364832878,
0.03941758722066879,
0.0357898473739624,
0.07306763529777527,
0.07353908568620682,
0.018459878861904144,
-0.03498463332653046,
0.005445168353617191,
0.04198438301682472,
0.020207243040204048,
-0.04266880080103874,
-0.0520365908741951,
0.020061805844306946,
0.006058727856725454,
-0.0029050586745142937,
0.01840144768357277,
-0.05701201409101486,
-0.033201780170202255,
0.012643254362046719,
-0.0803539827466011,
-0.02223062887787819,
-0.019069282338023186,
-0.02372119575738907,
0.04379403963685036,
-0.05080009996891022,
0.050262581557035446,
0.006331491284072399,
0.002690698020160198,
-0.023758426308631897,
0.023656299337744713,
-0.03093923069536686,
0.07025281339883804,
0.007255442440509796,
-0.028233034536242485,
-0.055284518748521805,
-0.04022711515426636,
0.04907812178134918,
-0.002456445014104247,
0.007955735549330711,
-0.004868884105235338,
-0.00014660660235676914,
0.0008667836664244533,
-0.027834560722112656,
-0.01574377529323101,
-0.009424847550690174,
-0.005831659771502018,
0.11380325257778168,
-0.008827216923236847,
0.02757059969007969,
0.033844150602817535,
0.043138302862644196,
-0.06205671280622482,
0.08698835223913193,
-0.013120705261826515,
-0.06231687217950821,
-0.023941770195961,
-0.014878610149025917,
-0.047287579625844955,
-0.0711463987827301,
0.052869390696287155,
-0.07918814569711685,
-0.08278602361679077,
-0.010279975831508636,
-0.012652034871280193,
-0.06901475042104721,
-1.1340423792504627e-33,
-0.10977422446012497,
0.02729184553027153,
-0.060011815279722214,
0.02619401551783085,
-0.059443723410367966,
-0.00013789588410872966,
-0.07873218506574631,
0.09159404039382935,
-0.05348160117864609,
0.0013771705562248826,
-0.03847028687596321,
0.03659334406256676,
0.08790519088506699,
0.0001408489770255983,
-0.03535185381770134,
0.030149027705192566,
-0.03366318345069885,
0.05019751563668251,
-0.09929956495761871,
-0.001158988568931818,
-0.04674798622727394,
0.11668077856302261,
-0.022550251334905624,
0.009989656507968903,
0.0408250130712986,
-0.01822916977107525,
-0.014325173571705818,
0.06115498021245003,
0.029354505240917206,
0.05580569803714752,
-0.05035419389605522,
-0.020309222862124443,
0.006528593134135008,
-0.019598156213760376,
0.01294891070574522,
0.0011211682576686144,
0.058719586580991745,
-0.00973605364561081,
0.0070463973097503185,
0.06750502437353134,
0.0017107881139963865,
0.050866030156612396,
-0.11364203691482544,
-0.04374914988875389,
-0.029831206426024437,
-0.03889654949307442,
0.012196477502584457,
0.05183377489447594,
0.03813892602920532,
-0.05739550665020943,
0.012896014377474785,
0.024516303092241287,
0.0084567591547966,
0.05608925223350525,
-0.01683446578681469,
-0.05631661042571068,
-0.012290298007428646,
0.011650633998215199,
0.027302119880914688,
0.0741211399435997,
-0.06020177900791168,
-0.030839210376143456,
0.010228080675005913,
-0.022136379033327103,
0.044860534369945526,
-0.024867765605449677,
-0.05304412171244621,
0.06656128168106079,
-0.04521576315164566,
-0.046175625175237656,
0.07079575210809708,
0.008100555278360844,
-0.05801589787006378,
0.032470934092998505,
-0.04627501219511032,
-0.052309125661849976,
0.03334788605570793,
-0.08286077529191971,
-0.056787725538015366,
0.06264971196651459,
0.1168331429362297,
-0.09621644765138626,
0.08220527321100235,
0.053250767290592194,
0.0528714619576931,
0.036520808935165405,
0.0921478122472763,
-0.07781080156564713,
0.025456078350543976,
0.01907888427376747,
-0.009947177954018116,
0.03396958112716675,
-0.04773588106036186,
0.05698603019118309,
0.03529050573706627,
-3.9976683297027193e-8,
0.0189215037971735,
0.04458793252706528,
0.039425041526556015,
-0.010266246274113655,
0.0792183205485344,
0.08263499289751053,
-0.10831546783447266,
0.03359867259860039,
-0.12114447355270386,
-0.02287108637392521,
0.03425203263759613,
0.030466627329587936,
-0.021598320454359055,
-0.06597777456045151,
-0.001637442852370441,
0.0022651588078588247,
-0.05254064500331879,
0.03289975970983505,
-0.046426206827163696,
0.000983907957561314,
0.015168840065598488,
0.019346721470355988,
0.008632408455014229,
-0.033827394247055054,
0.06813487410545349,
-0.0555199533700943,
-0.015080585144460201,
-0.01190552581101656,
0.04724143072962761,
0.11885736137628555,
-0.10701828449964523,
-0.0094077093526721,
-0.010259433649480343,
-0.007434005383402109,
0.0041017900221049786,
0.15630319714546204,
-0.046443477272987366,
-0.051314204931259155,
-0.0277540385723114,
0.0051031229086220264,
-0.06256481260061264,
-0.00458708219230175,
0.013502469286322594,
-0.0024067412596195936,
-0.10023292899131775,
0.02688067965209484,
-0.0004965313710272312,
-0.1253485381603241,
0.008097824640572071,
-0.04938744008541107,
0.09598221629858017,
-0.004250777419656515,
0.01920494996011257,
0.14012277126312256,
0.024905789643526077,
-0.03336412087082863,
-0.048787496984004974,
-0.04029291123151779,
0.04134182631969452,
0.1350179761648178,
0.05986246466636658,
0.014693799428641796,
0.022561583667993546,
0.04335896670818329
] |
1401.7728
|
Jacques H.H. Perk
|
Jacques H.H. Perk
|
A Simple Method to Reduce Thermodynamic Derivatives by Computer
|
LaTeX, uses revtex, 4 pages
| null | null | null |
physics.comp-ph physics.ed-ph physics.hist-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Studies in thermodynamics often require the reduction of some first or second
order partial derivatives in terms of a smaller basic set. A simple algorithm
to perform such a reduction is presented here, together with a review of
earlier related works. The algorithm uses Jacobians and is written in Maple
language, but it is easily translated in terms of any other computer algebra
language.
|
[
{
"created": "Thu, 9 Jan 2014 20:13:37 GMT",
"version": "v1"
}
] |
2014-02-11
|
[
[
"Perk",
"Jacques H. H.",
""
]
] |
[
-0.0564056821167469,
0.13065622746944427,
0.08727307617664337,
0.005837749689817429,
-0.03462575376033783,
-0.06764932721853256,
-0.0196868684142828,
-0.020319534465670586,
-0.006606847979128361,
0.022015796974301338,
-0.01896803453564644,
0.06482534110546112,
0.024718748405575752,
-0.013955865986645222,
0.024603040888905525,
-0.041960686445236206,
-0.089214026927948,
0.09280640631914139,
-0.044965676963329315,
-0.033242225646972656,
-0.007406226824969053,
0.011139490641653538,
-0.09447454661130905,
0.0018608089303597808,
0.1509150266647339,
-0.008070968091487885,
0.04642660543322563,
0.12785585224628448,
0.004632523283362389,
0.06071196123957634,
-0.002441021613776684,
-0.02841193974018097,
0.00664118304848671,
-0.03139755129814148,
-0.0024889688938856125,
0.05599435418844223,
-0.0311519093811512,
-0.010178539901971817,
-0.05785197392106056,
0.002607315545901656,
-0.06240261718630791,
0.08775556087493896,
0.04220065474510193,
0.09262849390506744,
0.01364543940871954,
0.050421155989170074,
-0.043863989412784576,
0.0005335647729225457,
0.02917034551501274,
-0.03978655859827995,
-0.023940738290548325,
0.0038964292034506798,
-0.04575446620583534,
0.013202719390392303,
0.08497186005115509,
-0.050370004028081894,
-0.011571897193789482,
-0.06544181704521179,
-0.024574682116508484,
0.01223811600357294,
-0.009911076165735722,
-0.002052598400041461,
-0.05377570912241936,
0.014783358201384544,
0.037597011774778366,
-0.010332142934203148,
0.06795132160186768,
-0.03927120938897133,
0.00577683886513114,
0.06331999599933624,
-0.09503080695867538,
-0.005901063792407513,
0.003197277197614312,
-0.0748601034283638,
0.0019666298758238554,
-0.010944867506623268,
0.059322383254766464,
-0.0002945119922515005,
-0.018847834318876266,
-0.025572462007403374,
-0.040128372609615326,
-0.030900711193680763,
-0.017746299505233765,
-0.05642465129494667,
-0.10720841586589813,
-0.03161955252289772,
-0.00922872219234705,
-0.05851069837808609,
0.09586232900619507,
0.010352623648941517,
-0.011447940021753311,
-0.08286073058843613,
0.009905376471579075,
-0.05551782250404358,
-0.024216782301664352,
-0.019132068380713463,
0.06952536106109619,
0.016912667080760002,
0.04393903538584709,
0.047263048589229584,
-0.0022802134044468403,
-0.08370140939950943,
0.0038569937460124493,
0.016109369695186615,
0.005896196700632572,
0.011119136586785316,
0.019084246829152107,
0.023708228021860123,
-0.0233440138399601,
-0.04232737049460411,
-0.05102623626589775,
0.01536234375089407,
-0.05001801624894142,
-0.00951011385768652,
0.000048368754505645484,
-0.011918822303414345,
0.10534636676311493,
-0.053576622158288956,
0.005485852714627981,
-0.028811626136302948,
0.0026492231991142035,
0.0022202995605766773,
0.019824709743261337,
0.03255216032266617,
-0.015149575658142567,
0.016141681000590324,
-0.006700222380459309,
1.030002864008036e-33,
-0.06065211817622185,
0.07419883459806442,
0.013665039092302322,
-0.06949042528867722,
0.02682129107415676,
0.053334470838308334,
-0.00835687667131424,
-0.010377902537584305,
0.011748533695936203,
0.04042506590485573,
-0.07819093018770218,
0.06239265576004982,
-0.039414338767528534,
0.008268277160823345,
-0.041155844926834106,
-0.06490442901849747,
0.09622211009263992,
-0.0018508242210373282,
0.06365694850683212,
0.022337453439831734,
-0.015374543145298958,
0.07468023151159286,
0.07795462012290955,
0.07705550640821457,
-0.025490395724773407,
-0.02308421954512596,
0.03647690266370773,
-0.01672874577343464,
0.008548999205231667,
0.0015168795362114906,
0.04305410385131836,
-0.033199895173311234,
-0.09478256106376648,
-0.007179544307291508,
0.07302337139844894,
-0.022687017917633057,
-0.015667619183659554,
0.04698416218161583,
0.027676844969391823,
0.014033186249434948,
-0.02799650840461254,
-0.005909394938498735,
0.015501236543059349,
0.021110709756612778,
-0.07857228070497513,
0.01801416650414467,
-0.008495703339576721,
0.10766416043043137,
0.026756687089800835,
-0.042529769241809845,
-0.08064901828765869,
0.049612753093242645,
0.020847953855991364,
-0.03394337743520737,
-0.08707250654697418,
0.03817102313041687,
0.02992897853255272,
0.007130926009267569,
-0.06949082016944885,
0.0003920746094081551,
-0.032069798558950424,
0.03467573970556259,
0.09156159311532974,
-0.049344852566719055,
-0.01648882031440735,
-0.03148525208234787,
-0.023118313401937485,
-0.07140935957431793,
-0.001619871356524527,
-0.032501790672540665,
-0.07302238792181015,
0.07238859683275223,
0.07548654824495316,
0.008673594333231449,
0.12030541896820068,
-0.025036241859197617,
-0.005641561932861805,
-0.08159572631120682,
-0.002755603054538369,
-0.07105724513530731,
-0.13690561056137085,
0.06171427667140961,
0.0917137861251831,
0.021277863532304764,
-0.0032362823840230703,
-0.10955670475959778,
-0.07091007381677628,
0.07262758165597916,
-0.050673242658376694,
-0.01289102341979742,
-0.17338673770427704,
-0.027874650433659554,
0.1068381741642952,
0.00282705738209188,
0.06739366799592972,
-4.722376638379732e-33,
-0.06237686797976494,
-0.024023698642849922,
0.013864787295460701,
0.006100649479776621,
-0.04897938668727875,
-0.056968845427036285,
0.001801709528081119,
-0.004818083718419075,
-0.0353267565369606,
0.02150733210146427,
0.06834420561790466,
0.023966042324900627,
-0.031411562114953995,
-0.060095299035310745,
0.04164736717939377,
0.039660654962062836,
-0.05155806988477707,
-0.03753834217786789,
-0.052349723875522614,
-0.0281309075653553,
-0.05132262781262398,
0.1166863888502121,
-0.006776277907192707,
-0.00554124778136611,
-0.07778740674257278,
-0.04553481936454773,
-0.011401908472180367,
0.03937086462974548,
-0.007661130279302597,
-0.001510207075625658,
-0.05900966003537178,
0.042577311396598816,
-0.0427984818816185,
0.001966515788808465,
-0.08582967519760132,
0.030320897698402405,
0.02986006624996662,
0.053837016224861145,
0.02871626615524292,
0.09983720630407333,
0.07772965729236603,
-0.012766062282025814,
0.0009495712001807988,
0.012401104904711246,
0.042376965284347534,
-0.011695444583892822,
-0.007489768322557211,
0.014752466231584549,
0.03196883574128151,
0.040777336806058884,
0.0092055918648839,
-0.04538251459598541,
-0.054913230240345,
0.0370233878493309,
-0.03352690488100052,
-0.0114441504701972,
-0.004284963943064213,
-0.009060569107532501,
0.045664649456739426,
-0.04435339197516441,
-0.0619087815284729,
-0.0953424945473671,
0.09944146871566772,
0.0638614371418953,
-0.015557991340756416,
0.020270293578505516,
-0.07847640663385391,
-0.0032362905330955982,
0.06719772517681122,
-0.05928264185786247,
0.030742913484573364,
0.05646465718746185,
0.026719123125076294,
0.0049307201988995075,
0.05258364602923393,
-0.08868811279535294,
0.029426589608192444,
-0.05818820372223854,
0.014007236808538437,
-0.015453090891242027,
0.051767487078905106,
0.06603583693504333,
-0.00011012137110810727,
-0.02073068544268608,
-0.02694563940167427,
-0.08620857447385788,
0.021951204165816307,
-0.042400144040584564,
-0.004060785751789808,
-0.023722736164927483,
0.0455993227660656,
0.07603409141302109,
0.10553935915231705,
0.021114641800522804,
-0.11910533905029297,
-3.8008629132946226e-8,
0.025258349254727364,
-0.06536310166120529,
-0.007246421184390783,
0.0011816660407930613,
0.045625973492860794,
-0.03528321534395218,
-0.06258583813905716,
0.08484727889299393,
0.028035463765263557,
-0.05761260911822319,
0.0579056553542614,
0.028820587322115898,
0.03615836426615715,
-0.0445246621966362,
-0.040984734892845154,
0.021269597113132477,
-0.04400436952710152,
0.057813744992017746,
-0.046197276562452316,
-0.10676400363445282,
-0.008765571750700474,
0.02098711207509041,
-0.007634506095200777,
0.011300468817353249,
0.13450908660888672,
-0.07487120479345322,
-0.03183434531092644,
-0.08693678677082062,
0.0301783699542284,
0.02541007474064827,
-0.07195775955915451,
0.0425565131008625,
-0.005513531621545553,
-0.04223192110657692,
0.06468867510557175,
0.05592577904462814,
0.08126769959926605,
0.0820154920220375,
-0.02335393615067005,
0.05820188671350479,
-0.027422631159424782,
0.00962501484900713,
-0.010724224150180817,
0.057918183505535126,
0.03372364118695259,
0.005535189528018236,
-0.07659406960010529,
-0.03503498435020447,
0.04995260015130043,
0.0799429714679718,
0.006302011664956808,
0.07322313636541367,
-0.0025779251009225845,
0.0033314658794552088,
-0.03491659089922905,
-0.09128643572330475,
-0.06477425992488861,
-0.010833021253347397,
-0.015396345406770706,
-0.05961431562900543,
-0.036212094128131866,
0.08738875389099121,
-0.0027779294177889824,
-0.019537361338734627
] | null | null | null | null | null | null | null |
[
-0.0564056821167469,
0.13065622746944427,
0.08727307617664337,
0.005837749689817429,
-0.03462575376033783,
-0.06764932721853256,
-0.0196868684142828,
-0.020319534465670586,
-0.006606847979128361,
0.022015796974301338,
-0.01896803453564644,
0.06482534110546112,
0.024718748405575752,
-0.013955865986645222,
0.024603040888905525,
-0.041960686445236206,
-0.089214026927948,
0.09280640631914139,
-0.044965676963329315,
-0.033242225646972656,
-0.007406226824969053,
0.011139490641653538,
-0.09447454661130905,
0.0018608089303597808,
0.1509150266647339,
-0.008070968091487885,
0.04642660543322563,
0.12785585224628448,
0.004632523283362389,
0.06071196123957634,
-0.002441021613776684,
-0.02841193974018097,
0.00664118304848671,
-0.03139755129814148,
-0.0024889688938856125,
0.05599435418844223,
-0.0311519093811512,
-0.010178539901971817,
-0.05785197392106056,
0.002607315545901656,
-0.06240261718630791,
0.08775556087493896,
0.04220065474510193,
0.09262849390506744,
0.01364543940871954,
0.050421155989170074,
-0.043863989412784576,
0.0005335647729225457,
0.02917034551501274,
-0.03978655859827995,
-0.023940738290548325,
0.0038964292034506798,
-0.04575446620583534,
0.013202719390392303,
0.08497186005115509,
-0.050370004028081894,
-0.011571897193789482,
-0.06544181704521179,
-0.024574682116508484,
0.01223811600357294,
-0.009911076165735722,
-0.002052598400041461,
-0.05377570912241936,
0.014783358201384544,
0.037597011774778366,
-0.010332142934203148,
0.06795132160186768,
-0.03927120938897133,
0.00577683886513114,
0.06331999599933624,
-0.09503080695867538,
-0.005901063792407513,
0.003197277197614312,
-0.0748601034283638,
0.0019666298758238554,
-0.010944867506623268,
0.059322383254766464,
-0.0002945119922515005,
-0.018847834318876266,
-0.025572462007403374,
-0.040128372609615326,
-0.030900711193680763,
-0.017746299505233765,
-0.05642465129494667,
-0.10720841586589813,
-0.03161955252289772,
-0.00922872219234705,
-0.05851069837808609,
0.09586232900619507,
0.010352623648941517,
-0.011447940021753311,
-0.08286073058843613,
0.009905376471579075,
-0.05551782250404358,
-0.024216782301664352,
-0.019132068380713463,
0.06952536106109619,
0.016912667080760002,
0.04393903538584709,
0.047263048589229584,
-0.0022802134044468403,
-0.08370140939950943,
0.0038569937460124493,
0.016109369695186615,
0.005896196700632572,
0.011119136586785316,
0.019084246829152107,
0.023708228021860123,
-0.0233440138399601,
-0.04232737049460411,
-0.05102623626589775,
0.01536234375089407,
-0.05001801624894142,
-0.00951011385768652,
0.000048368754505645484,
-0.011918822303414345,
0.10534636676311493,
-0.053576622158288956,
0.005485852714627981,
-0.028811626136302948,
0.0026492231991142035,
0.0022202995605766773,
0.019824709743261337,
0.03255216032266617,
-0.015149575658142567,
0.016141681000590324,
-0.006700222380459309,
1.030002864008036e-33,
-0.06065211817622185,
0.07419883459806442,
0.013665039092302322,
-0.06949042528867722,
0.02682129107415676,
0.053334470838308334,
-0.00835687667131424,
-0.010377902537584305,
0.011748533695936203,
0.04042506590485573,
-0.07819093018770218,
0.06239265576004982,
-0.039414338767528534,
0.008268277160823345,
-0.041155844926834106,
-0.06490442901849747,
0.09622211009263992,
-0.0018508242210373282,
0.06365694850683212,
0.022337453439831734,
-0.015374543145298958,
0.07468023151159286,
0.07795462012290955,
0.07705550640821457,
-0.025490395724773407,
-0.02308421954512596,
0.03647690266370773,
-0.01672874577343464,
0.008548999205231667,
0.0015168795362114906,
0.04305410385131836,
-0.033199895173311234,
-0.09478256106376648,
-0.007179544307291508,
0.07302337139844894,
-0.022687017917633057,
-0.015667619183659554,
0.04698416218161583,
0.027676844969391823,
0.014033186249434948,
-0.02799650840461254,
-0.005909394938498735,
0.015501236543059349,
0.021110709756612778,
-0.07857228070497513,
0.01801416650414467,
-0.008495703339576721,
0.10766416043043137,
0.026756687089800835,
-0.042529769241809845,
-0.08064901828765869,
0.049612753093242645,
0.020847953855991364,
-0.03394337743520737,
-0.08707250654697418,
0.03817102313041687,
0.02992897853255272,
0.007130926009267569,
-0.06949082016944885,
0.0003920746094081551,
-0.032069798558950424,
0.03467573970556259,
0.09156159311532974,
-0.049344852566719055,
-0.01648882031440735,
-0.03148525208234787,
-0.023118313401937485,
-0.07140935957431793,
-0.001619871356524527,
-0.032501790672540665,
-0.07302238792181015,
0.07238859683275223,
0.07548654824495316,
0.008673594333231449,
0.12030541896820068,
-0.025036241859197617,
-0.005641561932861805,
-0.08159572631120682,
-0.002755603054538369,
-0.07105724513530731,
-0.13690561056137085,
0.06171427667140961,
0.0917137861251831,
0.021277863532304764,
-0.0032362823840230703,
-0.10955670475959778,
-0.07091007381677628,
0.07262758165597916,
-0.050673242658376694,
-0.01289102341979742,
-0.17338673770427704,
-0.027874650433659554,
0.1068381741642952,
0.00282705738209188,
0.06739366799592972,
-4.722376638379732e-33,
-0.06237686797976494,
-0.024023698642849922,
0.013864787295460701,
0.006100649479776621,
-0.04897938668727875,
-0.056968845427036285,
0.001801709528081119,
-0.004818083718419075,
-0.0353267565369606,
0.02150733210146427,
0.06834420561790466,
0.023966042324900627,
-0.031411562114953995,
-0.060095299035310745,
0.04164736717939377,
0.039660654962062836,
-0.05155806988477707,
-0.03753834217786789,
-0.052349723875522614,
-0.0281309075653553,
-0.05132262781262398,
0.1166863888502121,
-0.006776277907192707,
-0.00554124778136611,
-0.07778740674257278,
-0.04553481936454773,
-0.011401908472180367,
0.03937086462974548,
-0.007661130279302597,
-0.001510207075625658,
-0.05900966003537178,
0.042577311396598816,
-0.0427984818816185,
0.001966515788808465,
-0.08582967519760132,
0.030320897698402405,
0.02986006624996662,
0.053837016224861145,
0.02871626615524292,
0.09983720630407333,
0.07772965729236603,
-0.012766062282025814,
0.0009495712001807988,
0.012401104904711246,
0.042376965284347534,
-0.011695444583892822,
-0.007489768322557211,
0.014752466231584549,
0.03196883574128151,
0.040777336806058884,
0.0092055918648839,
-0.04538251459598541,
-0.054913230240345,
0.0370233878493309,
-0.03352690488100052,
-0.0114441504701972,
-0.004284963943064213,
-0.009060569107532501,
0.045664649456739426,
-0.04435339197516441,
-0.0619087815284729,
-0.0953424945473671,
0.09944146871566772,
0.0638614371418953,
-0.015557991340756416,
0.020270293578505516,
-0.07847640663385391,
-0.0032362905330955982,
0.06719772517681122,
-0.05928264185786247,
0.030742913484573364,
0.05646465718746185,
0.026719123125076294,
0.0049307201988995075,
0.05258364602923393,
-0.08868811279535294,
0.029426589608192444,
-0.05818820372223854,
0.014007236808538437,
-0.015453090891242027,
0.051767487078905106,
0.06603583693504333,
-0.00011012137110810727,
-0.02073068544268608,
-0.02694563940167427,
-0.08620857447385788,
0.021951204165816307,
-0.042400144040584564,
-0.004060785751789808,
-0.023722736164927483,
0.0455993227660656,
0.07603409141302109,
0.10553935915231705,
0.021114641800522804,
-0.11910533905029297,
-3.8008629132946226e-8,
0.025258349254727364,
-0.06536310166120529,
-0.007246421184390783,
0.0011816660407930613,
0.045625973492860794,
-0.03528321534395218,
-0.06258583813905716,
0.08484727889299393,
0.028035463765263557,
-0.05761260911822319,
0.0579056553542614,
0.028820587322115898,
0.03615836426615715,
-0.0445246621966362,
-0.040984734892845154,
0.021269597113132477,
-0.04400436952710152,
0.057813744992017746,
-0.046197276562452316,
-0.10676400363445282,
-0.008765571750700474,
0.02098711207509041,
-0.007634506095200777,
0.011300468817353249,
0.13450908660888672,
-0.07487120479345322,
-0.03183434531092644,
-0.08693678677082062,
0.0301783699542284,
0.02541007474064827,
-0.07195775955915451,
0.0425565131008625,
-0.005513531621545553,
-0.04223192110657692,
0.06468867510557175,
0.05592577904462814,
0.08126769959926605,
0.0820154920220375,
-0.02335393615067005,
0.05820188671350479,
-0.027422631159424782,
0.00962501484900713,
-0.010724224150180817,
0.057918183505535126,
0.03372364118695259,
0.005535189528018236,
-0.07659406960010529,
-0.03503498435020447,
0.04995260015130043,
0.0799429714679718,
0.006302011664956808,
0.07322313636541367,
-0.0025779251009225845,
0.0033314658794552088,
-0.03491659089922905,
-0.09128643572330475,
-0.06477425992488861,
-0.010833021253347397,
-0.015396345406770706,
-0.05961431562900543,
-0.036212094128131866,
0.08738875389099121,
-0.0027779294177889824,
-0.019537361338734627
] |
1401.7733
|
Sunil Kumar c
|
C.Sunil Kumar, J.Seetha, S.R.Vinotha
|
Security Implications of Distributed Database Management System Models
| null | null | null | null |
cs.DB
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Security features must be addressed when escalating a distributed database.
The choice between the object oriented and the relational data model, several
factors should be considered. The most important of these factors are single
and multilevel access controls (MAC), protection and integrity maintenance.
While determining which distributed database replica will be more secure for a
particular function, the choice should not be made exclusively on the basis of
available security features. One should also query the effectiveness and
efficiency of the delivery of these characteristics. In this paper, the
security strengths and weaknesses of both database models and the thorough
problems initiate in the distributed environment are conversed.
|
[
{
"created": "Thu, 30 Jan 2014 04:43:22 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Kumar",
"C. Sunil",
""
],
[
"Seetha",
"J.",
""
],
[
"Vinotha",
"S. R.",
""
]
] |
[
-0.010968460701406002,
-0.036735907196998596,
-0.022846069186925888,
0.0037178737111389637,
-0.07146607339382172,
0.02590876631438732,
-0.01240319199860096,
0.021837903186678886,
-0.01141391322016716,
0.026081206277012825,
-0.03198295086622238,
0.01589357666671276,
0.16335633397102356,
-0.04940742999315262,
0.051162030547857285,
0.03400814160704613,
0.08129550516605377,
-0.004101758822798729,
-0.03872109577059746,
0.024559898301959038,
-0.09406815469264984,
-0.10405190289020538,
-0.033387191593647,
0.07282070815563202,
-0.05669816583395004,
0.023381607607007027,
0.029982497915625572,
0.019657066091895103,
-0.04497317224740982,
-0.05092104524374008,
0.0022598260547965765,
-0.04441958665847778,
-0.03800855949521065,
0.07909398525953293,
-0.08686887472867966,
-0.08093459159135818,
0.11536525189876556,
-0.06483784317970276,
-0.03860184922814369,
-0.05606693774461746,
-0.05232944339513779,
-0.01446335855871439,
-0.09958018362522125,
0.06137362867593765,
-0.04021633788943291,
-0.004637849982827902,
0.021561410278081894,
0.05360212177038193,
-0.020049776881933212,
0.016333267092704773,
0.053084343671798706,
-0.07623087614774704,
0.0031590405851602554,
0.056884732097387314,
0.007084375247359276,
0.07522740960121155,
0.059974122792482376,
-0.024253450334072113,
-0.025710176676511765,
0.09467115998268127,
0.004974353592842817,
0.022468291223049164,
-0.04129068925976753,
0.03742365539073944,
-0.02943524718284607,
-0.027115384116768837,
0.02243284322321415,
-0.046344514936208725,
0.06702552735805511,
-0.0539262481033802,
-0.01561365183442831,
-0.03187510743737221,
-0.06792262196540833,
-0.007712030317634344,
-0.07125261425971985,
-0.0546172596514225,
-0.013912026770412922,
-0.04795857518911362,
0.021529141813516617,
0.0511389896273613,
-0.011036227457225323,
0.07702378928661346,
-0.017693959176540375,
-0.033534836024045944,
-0.001405750634148717,
-0.016575496643781662,
0.07785698771476746,
-0.04824689403176308,
-0.016273317858576775,
0.054866377264261246,
0.052369531244039536,
0.057947367429733276,
0.03816736117005348,
-0.025097930803894997,
0.0025174766778945923,
-0.07027899473905563,
0.0322219580411911,
0.016399119049310684,
-0.01949916034936905,
-0.025189025327563286,
0.01099477056413889,
0.016532406210899353,
0.04624218866229057,
-0.04184531047940254,
0.03627919405698776,
-0.0006117001175880432,
0.0628533735871315,
-0.08281369507312775,
-0.003133739810436964,
0.05292113497853279,
-0.05426454171538353,
0.0428161695599556,
-0.08344729244709015,
-0.04103974997997284,
-0.04715380072593689,
0.035655051469802856,
-0.0854453295469284,
-0.03762983903288841,
-0.10581374913454056,
-0.04747932404279709,
-0.006680769380182028,
0.010091476142406464,
0.1197633445262909,
-0.007105658762156963,
-0.02471059560775757,
-0.023974519222974777,
-0.05669551342725754,
2.8233746522581946e-34,
-0.047828324139118195,
-0.024996615946292877,
-0.003177590435370803,
-0.06725815683603287,
0.06832097470760345,
0.00007813169213477522,
0.008062929846346378,
0.05439210310578346,
-0.09981890022754669,
-0.012060197070240974,
-0.0690712183713913,
0.04521632567048073,
-0.050310395658016205,
-0.07702023535966873,
0.12242554128170013,
0.07813804596662521,
0.06205480173230171,
0.09230362623929977,
0.09179428964853287,
0.028854316100478172,
0.0653889924287796,
-0.04427734762430191,
0.010329813696444035,
0.09620656818151474,
0.08250744640827179,
0.03421793878078461,
-0.012757650576531887,
0.05397468060255051,
0.03245691955089569,
0.03797520324587822,
-0.01389838196337223,
-0.058328431099653244,
-0.010292578488588333,
0.04740196838974953,
-0.03175843879580498,
0.023093804717063904,
-0.03819260373711586,
-0.03318353369832039,
0.04630093276500702,
-0.057401709258556366,
-0.012360107153654099,
0.021973958238959312,
0.005476946476846933,
-0.051347143948078156,
0.02425876259803772,
0.10092749446630478,
-0.04771857336163521,
0.06742072850465775,
-0.00455985264852643,
-0.025082534179091454,
0.01704235002398491,
0.015041131526231766,
-0.0000778635949245654,
0.02791297622025013,
-0.006663207430392504,
-0.015485494397580624,
0.007059031166136265,
-0.037371676415205,
-0.03033273294568062,
0.04661359637975693,
-0.07077521085739136,
-0.029505085200071335,
-0.013393815606832504,
-0.021838748827576637,
0.0516623929142952,
-0.047830477356910706,
-0.03809429332613945,
-0.10543245822191238,
0.09450943768024445,
0.0403849296271801,
-0.036750297993421555,
-0.008251257240772247,
-0.037975747138261795,
0.026879791170358658,
-0.12043748050928116,
0.006710962392389774,
-0.05210939422249794,
-0.026228079572319984,
0.06850294023752213,
0.07751144468784332,
-0.03429270163178444,
-0.009602089412510395,
-0.020350750535726547,
0.053287457674741745,
-0.037288058549165726,
0.06341156363487244,
-0.043851327151060104,
0.021936826407909393,
-0.08567091822624207,
0.07323049008846283,
0.030919423326849937,
-0.035000577569007874,
0.11078423261642456,
-0.025002406910061836,
0.040987055748701096,
-2.76630995757329e-33,
-0.003337704110890627,
-0.07626521587371826,
-0.0519537627696991,
0.018704455345869064,
0.017932815477252007,
-0.01752522587776184,
-0.055984027683734894,
0.023001939058303833,
-0.10352351516485214,
-0.027504421770572662,
-0.002902792301028967,
-0.08773569762706757,
0.032285284250974655,
-0.03757365047931671,
0.002715032547712326,
0.007335379254072905,
0.012236044742166996,
-0.04485956206917763,
-0.006942159961909056,
0.07344966381788254,
-0.012545875273644924,
0.06972712278366089,
-0.0014579251874238253,
0.010574202053248882,
0.08537657558917999,
-0.039338111877441406,
-0.09850809723138809,
-0.040062591433525085,
0.04688820242881775,
0.0069766961969435215,
-0.05011169984936714,
-0.015146019868552685,
0.041505441069602966,
-0.06523099541664124,
-0.09739821404218674,
-0.10265225917100906,
0.046128302812576294,
0.004689205437898636,
0.06331653147935867,
0.014143794775009155,
0.01671009697020054,
0.03578323870897293,
0.0031226149294525385,
-0.054583750665187836,
-0.005289068445563316,
-0.020411044359207153,
-0.05020612105727196,
0.108294777572155,
-0.01525325607508421,
-0.023687316104769707,
-0.04614505544304848,
-0.08070031553506851,
0.0682315081357956,
-0.0402880497276783,
0.051251258701086044,
0.004747156053781509,
-0.017423205077648163,
0.05345240980386734,
0.05647776275873184,
0.09133997559547424,
-0.017471469938755035,
0.017148246988654137,
0.032824382185935974,
0.0865178108215332,
0.03467604145407677,
0.05194573104381561,
0.020128414034843445,
0.041813332587480545,
-0.06848340481519699,
-0.02032085694372654,
0.020303377881646156,
-0.013769802637398243,
0.0365610234439373,
0.06418641656637192,
0.11256781220436096,
-0.0763634443283081,
-0.07316172122955322,
-0.03397054225206375,
0.0025493106804788113,
0.06451079249382019,
-0.030045313760638237,
0.03181411698460579,
-0.06676016747951508,
0.049520380795001984,
-0.004412882030010223,
-0.10185567289590836,
0.06594023108482361,
-0.09709497541189194,
0.035868335515260696,
0.03274228423833847,
-0.08844554424285889,
0.008884862996637821,
-0.13816937804222107,
0.03000354953110218,
-0.025203661993145943,
-4.24923314312764e-8,
0.031284306198358536,
0.03327498957514763,
0.06784265488386154,
-0.0599791593849659,
0.0675411969423294,
0.04883547127246857,
-0.05415865406394005,
0.00921278353780508,
0.008737602271139622,
0.04259106144309044,
0.037842344492673874,
0.049828145653009415,
0.0032951899338513613,
-0.016092399135231972,
0.006488722749054432,
-0.005705817136913538,
0.006306705996394157,
-0.05408838763833046,
-0.038614511489868164,
0.0178208127617836,
0.02619369514286518,
0.0034632317256182432,
0.017888151109218597,
0.00854559801518917,
0.05980348959565163,
-0.0015263293171301484,
-0.04542054980993271,
0.04191192239522934,
0.014823071658611298,
0.05514068529009819,
-0.029820917174220085,
-0.047232698649168015,
0.05403994768857956,
0.021198084577918053,
-0.003115735948085785,
0.0757547989487648,
0.035650406032800674,
0.07278838008642197,
-0.05656858906149864,
-0.015636395663022995,
0.04975125566124916,
-0.015424344688653946,
0.06994646042585373,
0.048852093517780304,
-0.009028047323226929,
0.01629534550011158,
0.0584394596517086,
-0.005756642669439316,
0.025844156742095947,
0.03127574548125267,
-0.037131719291210175,
-0.016107002273201942,
0.004367021843791008,
0.1417541652917862,
-0.06554348021745682,
0.052521564066410065,
-0.02506520412862301,
-0.013269223272800446,
0.09340837597846985,
-0.003978254739195108,
0.026151176542043686,
-0.05392313376069069,
0.04084595665335655,
-0.016436120495200157
] | null | null | null | null | null | null | null |
[
-0.010968460701406002,
-0.036735907196998596,
-0.022846069186925888,
0.0037178737111389637,
-0.07146607339382172,
0.02590876631438732,
-0.01240319199860096,
0.021837903186678886,
-0.01141391322016716,
0.026081206277012825,
-0.03198295086622238,
0.01589357666671276,
0.16335633397102356,
-0.04940742999315262,
0.051162030547857285,
0.03400814160704613,
0.08129550516605377,
-0.004101758822798729,
-0.03872109577059746,
0.024559898301959038,
-0.09406815469264984,
-0.10405190289020538,
-0.033387191593647,
0.07282070815563202,
-0.05669816583395004,
0.023381607607007027,
0.029982497915625572,
0.019657066091895103,
-0.04497317224740982,
-0.05092104524374008,
0.0022598260547965765,
-0.04441958665847778,
-0.03800855949521065,
0.07909398525953293,
-0.08686887472867966,
-0.08093459159135818,
0.11536525189876556,
-0.06483784317970276,
-0.03860184922814369,
-0.05606693774461746,
-0.05232944339513779,
-0.01446335855871439,
-0.09958018362522125,
0.06137362867593765,
-0.04021633788943291,
-0.004637849982827902,
0.021561410278081894,
0.05360212177038193,
-0.020049776881933212,
0.016333267092704773,
0.053084343671798706,
-0.07623087614774704,
0.0031590405851602554,
0.056884732097387314,
0.007084375247359276,
0.07522740960121155,
0.059974122792482376,
-0.024253450334072113,
-0.025710176676511765,
0.09467115998268127,
0.004974353592842817,
0.022468291223049164,
-0.04129068925976753,
0.03742365539073944,
-0.02943524718284607,
-0.027115384116768837,
0.02243284322321415,
-0.046344514936208725,
0.06702552735805511,
-0.0539262481033802,
-0.01561365183442831,
-0.03187510743737221,
-0.06792262196540833,
-0.007712030317634344,
-0.07125261425971985,
-0.0546172596514225,
-0.013912026770412922,
-0.04795857518911362,
0.021529141813516617,
0.0511389896273613,
-0.011036227457225323,
0.07702378928661346,
-0.017693959176540375,
-0.033534836024045944,
-0.001405750634148717,
-0.016575496643781662,
0.07785698771476746,
-0.04824689403176308,
-0.016273317858576775,
0.054866377264261246,
0.052369531244039536,
0.057947367429733276,
0.03816736117005348,
-0.025097930803894997,
0.0025174766778945923,
-0.07027899473905563,
0.0322219580411911,
0.016399119049310684,
-0.01949916034936905,
-0.025189025327563286,
0.01099477056413889,
0.016532406210899353,
0.04624218866229057,
-0.04184531047940254,
0.03627919405698776,
-0.0006117001175880432,
0.0628533735871315,
-0.08281369507312775,
-0.003133739810436964,
0.05292113497853279,
-0.05426454171538353,
0.0428161695599556,
-0.08344729244709015,
-0.04103974997997284,
-0.04715380072593689,
0.035655051469802856,
-0.0854453295469284,
-0.03762983903288841,
-0.10581374913454056,
-0.04747932404279709,
-0.006680769380182028,
0.010091476142406464,
0.1197633445262909,
-0.007105658762156963,
-0.02471059560775757,
-0.023974519222974777,
-0.05669551342725754,
2.8233746522581946e-34,
-0.047828324139118195,
-0.024996615946292877,
-0.003177590435370803,
-0.06725815683603287,
0.06832097470760345,
0.00007813169213477522,
0.008062929846346378,
0.05439210310578346,
-0.09981890022754669,
-0.012060197070240974,
-0.0690712183713913,
0.04521632567048073,
-0.050310395658016205,
-0.07702023535966873,
0.12242554128170013,
0.07813804596662521,
0.06205480173230171,
0.09230362623929977,
0.09179428964853287,
0.028854316100478172,
0.0653889924287796,
-0.04427734762430191,
0.010329813696444035,
0.09620656818151474,
0.08250744640827179,
0.03421793878078461,
-0.012757650576531887,
0.05397468060255051,
0.03245691955089569,
0.03797520324587822,
-0.01389838196337223,
-0.058328431099653244,
-0.010292578488588333,
0.04740196838974953,
-0.03175843879580498,
0.023093804717063904,
-0.03819260373711586,
-0.03318353369832039,
0.04630093276500702,
-0.057401709258556366,
-0.012360107153654099,
0.021973958238959312,
0.005476946476846933,
-0.051347143948078156,
0.02425876259803772,
0.10092749446630478,
-0.04771857336163521,
0.06742072850465775,
-0.00455985264852643,
-0.025082534179091454,
0.01704235002398491,
0.015041131526231766,
-0.0000778635949245654,
0.02791297622025013,
-0.006663207430392504,
-0.015485494397580624,
0.007059031166136265,
-0.037371676415205,
-0.03033273294568062,
0.04661359637975693,
-0.07077521085739136,
-0.029505085200071335,
-0.013393815606832504,
-0.021838748827576637,
0.0516623929142952,
-0.047830477356910706,
-0.03809429332613945,
-0.10543245822191238,
0.09450943768024445,
0.0403849296271801,
-0.036750297993421555,
-0.008251257240772247,
-0.037975747138261795,
0.026879791170358658,
-0.12043748050928116,
0.006710962392389774,
-0.05210939422249794,
-0.026228079572319984,
0.06850294023752213,
0.07751144468784332,
-0.03429270163178444,
-0.009602089412510395,
-0.020350750535726547,
0.053287457674741745,
-0.037288058549165726,
0.06341156363487244,
-0.043851327151060104,
0.021936826407909393,
-0.08567091822624207,
0.07323049008846283,
0.030919423326849937,
-0.035000577569007874,
0.11078423261642456,
-0.025002406910061836,
0.040987055748701096,
-2.76630995757329e-33,
-0.003337704110890627,
-0.07626521587371826,
-0.0519537627696991,
0.018704455345869064,
0.017932815477252007,
-0.01752522587776184,
-0.055984027683734894,
0.023001939058303833,
-0.10352351516485214,
-0.027504421770572662,
-0.002902792301028967,
-0.08773569762706757,
0.032285284250974655,
-0.03757365047931671,
0.002715032547712326,
0.007335379254072905,
0.012236044742166996,
-0.04485956206917763,
-0.006942159961909056,
0.07344966381788254,
-0.012545875273644924,
0.06972712278366089,
-0.0014579251874238253,
0.010574202053248882,
0.08537657558917999,
-0.039338111877441406,
-0.09850809723138809,
-0.040062591433525085,
0.04688820242881775,
0.0069766961969435215,
-0.05011169984936714,
-0.015146019868552685,
0.041505441069602966,
-0.06523099541664124,
-0.09739821404218674,
-0.10265225917100906,
0.046128302812576294,
0.004689205437898636,
0.06331653147935867,
0.014143794775009155,
0.01671009697020054,
0.03578323870897293,
0.0031226149294525385,
-0.054583750665187836,
-0.005289068445563316,
-0.020411044359207153,
-0.05020612105727196,
0.108294777572155,
-0.01525325607508421,
-0.023687316104769707,
-0.04614505544304848,
-0.08070031553506851,
0.0682315081357956,
-0.0402880497276783,
0.051251258701086044,
0.004747156053781509,
-0.017423205077648163,
0.05345240980386734,
0.05647776275873184,
0.09133997559547424,
-0.017471469938755035,
0.017148246988654137,
0.032824382185935974,
0.0865178108215332,
0.03467604145407677,
0.05194573104381561,
0.020128414034843445,
0.041813332587480545,
-0.06848340481519699,
-0.02032085694372654,
0.020303377881646156,
-0.013769802637398243,
0.0365610234439373,
0.06418641656637192,
0.11256781220436096,
-0.0763634443283081,
-0.07316172122955322,
-0.03397054225206375,
0.0025493106804788113,
0.06451079249382019,
-0.030045313760638237,
0.03181411698460579,
-0.06676016747951508,
0.049520380795001984,
-0.004412882030010223,
-0.10185567289590836,
0.06594023108482361,
-0.09709497541189194,
0.035868335515260696,
0.03274228423833847,
-0.08844554424285889,
0.008884862996637821,
-0.13816937804222107,
0.03000354953110218,
-0.025203661993145943,
-4.24923314312764e-8,
0.031284306198358536,
0.03327498957514763,
0.06784265488386154,
-0.0599791593849659,
0.0675411969423294,
0.04883547127246857,
-0.05415865406394005,
0.00921278353780508,
0.008737602271139622,
0.04259106144309044,
0.037842344492673874,
0.049828145653009415,
0.0032951899338513613,
-0.016092399135231972,
0.006488722749054432,
-0.005705817136913538,
0.006306705996394157,
-0.05408838763833046,
-0.038614511489868164,
0.0178208127617836,
0.02619369514286518,
0.0034632317256182432,
0.017888151109218597,
0.00854559801518917,
0.05980348959565163,
-0.0015263293171301484,
-0.04542054980993271,
0.04191192239522934,
0.014823071658611298,
0.05514068529009819,
-0.029820917174220085,
-0.047232698649168015,
0.05403994768857956,
0.021198084577918053,
-0.003115735948085785,
0.0757547989487648,
0.035650406032800674,
0.07278838008642197,
-0.05656858906149864,
-0.015636395663022995,
0.04975125566124916,
-0.015424344688653946,
0.06994646042585373,
0.048852093517780304,
-0.009028047323226929,
0.01629534550011158,
0.0584394596517086,
-0.005756642669439316,
0.025844156742095947,
0.03127574548125267,
-0.037131719291210175,
-0.016107002273201942,
0.004367021843791008,
0.1417541652917862,
-0.06554348021745682,
0.052521564066410065,
-0.02506520412862301,
-0.013269223272800446,
0.09340837597846985,
-0.003978254739195108,
0.026151176542043686,
-0.05392313376069069,
0.04084595665335655,
-0.016436120495200157
] |
1401.7734
|
Masud Mansuripur
|
Masud Mansuripur
|
Radiation pressure and the linear momentum of the electromagnetic field
in magnetic media
|
16 pages, 5 figures, 48 equations, 24 references
|
Published in Optics Express, Vol. 15, No. 21, pp 13502-13517
(2007)
|
10.1364/OE.15.013502
| null |
physics.optics physics.class-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the force of the electromagnetic radiation on linear, isotropic,
homogeneous media specified in terms of their permittivity epsilon and
permeability mu. A formula is proposed for the electromagnetic Lorentz force on
the magnetization M, which is treated here as an Amperian current loop. Using
the proposed formula, we demonstrate conservation of momentum in several cases
that are amenable to rigorous analysis based on the classical Maxwell
equations, the Lorentz law of force, and the constitutive relations. Our
analysis yields precise expressions for the density of the electromagnetic and
mechanical momenta inside the media that are specified by their (epsilon, mu)
parameters. An interesting consequence of this analysis is the identification
of an "intrinsic" mechanical momentum density, ExM/c^2, analogous to the
electromagnetic (or Abraham) momentum density, ExH/c^2. (Here E and H are the
magnitudes of the electric and magnetic fields, respectively, and c is the
speed of light in vacuum.) This intrinsic mechanical momentum, associated with
the magnetization M in the presence of an electric field E, is apparently the
same "hidden" momentum that was predicted by W. Shockley and R.P. James nearly
four decades ago.
|
[
{
"created": "Thu, 30 Jan 2014 04:48:42 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Mansuripur",
"Masud",
""
]
] |
[
-0.053007032722234726,
0.030917411670088768,
0.02031542919576168,
0.00756644643843174,
0.05693136155605316,
0.027664681896567345,
0.04532570391893387,
0.015160906128585339,
-0.014053399674594402,
0.0118679478764534,
0.11537270247936249,
-0.02811015397310257,
0.025385534390807152,
-0.021782848984003067,
0.010793865658342838,
-0.0322212353348732,
0.001446660258807242,
0.03907888010144234,
-0.0758579894900322,
0.10662361979484558,
-0.03098967857658863,
-0.009229068644344807,
0.045611631125211716,
-0.06746543943881989,
0.03323271870613098,
0.0020454409532248974,
0.0636565238237381,
-0.015257449820637703,
-0.07109647989273071,
-0.03377304971218109,
0.07946935296058655,
-0.07702979445457458,
-0.04566803202033043,
0.012162619270384312,
-0.004633779171854258,
0.05515080690383911,
0.04653800651431084,
-0.09293265640735626,
0.02655537612736225,
0.0695916935801506,
-0.05500470846891403,
-0.055052101612091064,
0.00042343654786236584,
0.025398898869752884,
0.048754118382930756,
0.03474145755171776,
0.11789268255233765,
-0.07242944091558456,
0.023388925939798355,
-0.007810335606336594,
-0.025747299194335938,
0.00937969982624054,
-0.04491357505321503,
-0.019945723935961723,
0.09552333503961563,
-0.04725814238190651,
0.062404338270425797,
0.042680028825998306,
-0.030326366424560547,
0.013060026802122593,
0.08794093877077103,
-0.02423861436545849,
-0.04857679456472397,
0.020185358822345734,
0.02579314261674881,
0.03164640814065933,
0.002516399370506406,
0.018934521824121475,
0.006734090857207775,
0.01932571642100811,
0.016109038144350052,
-0.01721164770424366,
-0.07667703181505203,
-0.05010353401303291,
-0.02732577547430992,
0.03094053640961647,
0.01247358974069357,
0.05485718324780464,
0.014752170071005821,
-0.026133665814995766,
-0.09075833857059479,
0.004326878115534782,
-0.09847693145275116,
-0.057941872626543045,
0.029092665761709213,
0.037520360201597214,
0.03915008530020714,
0.061516109853982925,
-0.009455199353396893,
0.025275755673646927,
-0.037394627928733826,
-0.04723944887518883,
-0.14918749034404755,
0.014418179169297218,
0.12019254267215729,
-0.0014437020290642977,
-0.05496888607740402,
-0.06756634265184402,
-0.012152155861258507,
0.014247745275497437,
0.04794206842780113,
0.022018631920218468,
-0.05990711227059364,
0.09109006077051163,
-0.02207816205918789,
-0.07482412457466125,
0.048357103019952774,
0.03750471770763397,
-0.03544803708791733,
0.022100642323493958,
0.06908168643712997,
-0.02446722984313965,
-0.12867164611816406,
0.016759755089879036,
-0.004248670302331448,
0.00952156912535429,
0.06171785295009613,
0.12470362335443497,
0.04806021600961685,
-0.001007133862003684,
0.024333858862519264,
0.0649956464767456,
-0.022380394861102104,
0.017659924924373627,
0.05089551955461502,
-0.05509348586201668,
-0.013697797432541847,
-1.948607113042269e-34,
-0.026664847508072853,
-0.005223996005952358,
-0.0026910481974482536,
0.06197419762611389,
0.00412616366520524,
-0.020121127367019653,
0.11091060191392899,
0.032879676669836044,
0.0388820618391037,
-0.0258613470941782,
0.002784981857985258,
0.07735126465559006,
-0.013966399244964123,
-0.024761661887168884,
-0.07955130189657211,
-0.046781349927186966,
-0.03407340496778488,
-0.012703622691333294,
0.09149985015392303,
-0.05996984988451004,
0.08531872183084488,
0.0790758728981018,
0.04714089632034302,
-0.04725529998540878,
-0.08822774887084961,
-0.03280364349484444,
0.012328865937888622,
0.06558328866958618,
-0.037521298974752426,
0.032930243760347366,
-0.11188234388828278,
0.022672714665532112,
0.0004238099209032953,
-0.06714539229869843,
0.03574328124523163,
0.0018347037257626653,
0.02266228199005127,
-0.02391115576028824,
0.0023415163159370422,
0.04972539097070694,
-0.02376651018857956,
0.013086682185530663,
-0.02342856489121914,
0.006379579659551382,
-0.06322263181209564,
-0.027427390217781067,
0.07696212828159332,
-0.04912956804037094,
0.026485826820135117,
0.007005046587437391,
0.04493533447384834,
-0.08866926282644272,
-0.019211212173104286,
0.02768225595355034,
0.028901807963848114,
-0.06482362747192383,
-0.12325886636972427,
0.084029421210289,
-0.06950639933347702,
-0.012986578978598118,
0.048787686973810196,
0.13731428980827332,
0.1334480494260788,
0.05002845451235771,
-0.07138390094041824,
-0.07687407732009888,
-0.05626533925533295,
0.10257583111524582,
-0.016668034717440605,
0.0008890440803952515,
-0.0012896325206384063,
0.015092633664608002,
-0.04022027552127838,
0.010806655511260033,
0.04229726269841194,
0.035023100674152374,
0.004088380839675665,
-0.019571920856833458,
0.045401230454444885,
0.036834657192230225,
-0.024095216765999794,
0.02717675268650055,
-0.08145347237586975,
-0.04202205315232277,
-0.07922044396400452,
0.05556980147957802,
-0.0023766765370965004,
-0.04339045658707619,
-0.015790393576025963,
-0.07014871388673782,
0.04636988788843155,
0.08499938994646072,
-0.0066576795652508736,
-0.058865051716566086,
-0.04368946701288223,
-4.0709206078898976e-33,
0.018344813957810402,
-0.0430348739027977,
-0.008219685405492783,
0.006671028211712837,
-0.018815983086824417,
0.04464611038565636,
-0.020495327189564705,
0.022777114063501358,
-0.12072707712650299,
-0.06187112256884575,
0.018650315701961517,
-0.060011353343725204,
-0.08177569508552551,
-0.049187857657670975,
-0.030682755634188652,
-0.0502488799393177,
-0.06527688354253769,
0.047794461250305176,
-0.030017953366041183,
0.0064516616985201836,
0.012421595863997936,
0.0329851359128952,
0.06368815898895264,
0.020343972370028496,
-0.013590662740170956,
-0.0024810275062918663,
-0.05448101833462715,
-0.018008708953857422,
-0.03187280893325806,
0.03198949247598648,
0.029331179335713387,
-0.010039407759904861,
-0.05829308182001114,
0.012651881203055382,
-0.00823174323886633,
-0.04106399416923523,
0.0066705793142318726,
0.053708240389823914,
-0.006871066056191921,
0.013867290690541267,
-0.022032735869288445,
0.10875770449638367,
0.0726105347275734,
0.023455826565623283,
-0.012731693685054779,
0.00862998329102993,
0.06619596481323242,
-0.044076498597860336,
-0.002326349029317498,
0.009615804068744183,
-0.00491325743496418,
-0.06149882823228836,
0.04866788163781166,
-0.025828344747424126,
-0.06369373202323914,
0.04940582811832428,
-0.013909123837947845,
-0.032455384731292725,
0.06027640774846077,
0.0474671870470047,
-0.0022228541783988476,
0.004158141557127237,
0.009266389533877373,
-0.007946171797811985,
0.024722961708903313,
0.005220809485763311,
-0.005546157713979483,
0.02722059190273285,
-0.09640130400657654,
-0.021992728114128113,
0.0949714332818985,
-0.04062265902757645,
-0.08301389962434769,
0.020902596414089203,
-0.028505880385637283,
0.06448135524988174,
0.1173330545425415,
-0.05480233207345009,
-0.022915152832865715,
-0.01162161398679018,
0.054566774517297745,
0.09747975319623947,
-0.0549449659883976,
-0.07765833288431168,
-0.028486698865890503,
0.05218734219670296,
-0.0638713613152504,
-0.06552273035049438,
-0.025601694360375404,
-0.05641710013151169,
0.01622711308300495,
0.0011792537989094853,
0.0381806381046772,
0.021984126418828964,
0.03408309444785118,
-6.252283668573e-8,
-0.01761547476053238,
0.012565919198095798,
-0.019683171063661575,
0.0016837060684338212,
-0.01894625835120678,
0.011380646377801895,
-0.09588993340730667,
-0.055319126695394516,
0.09619481861591339,
-0.03604799136519432,
0.06873959302902222,
-0.01583928056061268,
-0.058727018535137177,
0.03937836363911629,
-0.10786657780408859,
0.011838543228805065,
0.00248130364343524,
-0.06668858230113983,
0.036023564636707306,
0.028606968000531197,
0.008537091314792633,
-0.028998250141739845,
0.008377967402338982,
-0.0032909505534917116,
0.062248218804597855,
0.10567713528871536,
0.01658543199300766,
0.02229558303952217,
0.07293747365474701,
0.028871234506368637,
0.0021375897340476513,
-0.10425294190645218,
0.02559986338019371,
-0.0327720008790493,
-0.14452539384365082,
0.0001682983711361885,
-0.0170078556984663,
-0.03456205502152443,
-0.06266828626394272,
0.05290446802973747,
0.011579438112676144,
-0.019666695967316628,
0.021582188084721565,
-0.0020331428386271,
-0.04452013224363327,
0.024844562634825706,
-0.1077243983745575,
-0.016077028587460518,
-0.11576106399297714,
0.029669271782040596,
0.0018535261042416096,
-0.0386669859290123,
0.019577883183956146,
0.03464138135313988,
-0.037084534764289856,
0.012680687941610813,
-0.0526973120868206,
0.003341991687193513,
-0.027408596128225327,
-0.04162244126200676,
0.05351921543478966,
0.07056228071451187,
-0.022808605805039406,
0.10004172474145889
] | null | null | null | null | null | null | null |
[
-0.053007032722234726,
0.030917411670088768,
0.02031542919576168,
0.00756644643843174,
0.05693136155605316,
0.027664681896567345,
0.04532570391893387,
0.015160906128585339,
-0.014053399674594402,
0.0118679478764534,
0.11537270247936249,
-0.02811015397310257,
0.025385534390807152,
-0.021782848984003067,
0.010793865658342838,
-0.0322212353348732,
0.001446660258807242,
0.03907888010144234,
-0.0758579894900322,
0.10662361979484558,
-0.03098967857658863,
-0.009229068644344807,
0.045611631125211716,
-0.06746543943881989,
0.03323271870613098,
0.0020454409532248974,
0.0636565238237381,
-0.015257449820637703,
-0.07109647989273071,
-0.03377304971218109,
0.07946935296058655,
-0.07702979445457458,
-0.04566803202033043,
0.012162619270384312,
-0.004633779171854258,
0.05515080690383911,
0.04653800651431084,
-0.09293265640735626,
0.02655537612736225,
0.0695916935801506,
-0.05500470846891403,
-0.055052101612091064,
0.00042343654786236584,
0.025398898869752884,
0.048754118382930756,
0.03474145755171776,
0.11789268255233765,
-0.07242944091558456,
0.023388925939798355,
-0.007810335606336594,
-0.025747299194335938,
0.00937969982624054,
-0.04491357505321503,
-0.019945723935961723,
0.09552333503961563,
-0.04725814238190651,
0.062404338270425797,
0.042680028825998306,
-0.030326366424560547,
0.013060026802122593,
0.08794093877077103,
-0.02423861436545849,
-0.04857679456472397,
0.020185358822345734,
0.02579314261674881,
0.03164640814065933,
0.002516399370506406,
0.018934521824121475,
0.006734090857207775,
0.01932571642100811,
0.016109038144350052,
-0.01721164770424366,
-0.07667703181505203,
-0.05010353401303291,
-0.02732577547430992,
0.03094053640961647,
0.01247358974069357,
0.05485718324780464,
0.014752170071005821,
-0.026133665814995766,
-0.09075833857059479,
0.004326878115534782,
-0.09847693145275116,
-0.057941872626543045,
0.029092665761709213,
0.037520360201597214,
0.03915008530020714,
0.061516109853982925,
-0.009455199353396893,
0.025275755673646927,
-0.037394627928733826,
-0.04723944887518883,
-0.14918749034404755,
0.014418179169297218,
0.12019254267215729,
-0.0014437020290642977,
-0.05496888607740402,
-0.06756634265184402,
-0.012152155861258507,
0.014247745275497437,
0.04794206842780113,
0.022018631920218468,
-0.05990711227059364,
0.09109006077051163,
-0.02207816205918789,
-0.07482412457466125,
0.048357103019952774,
0.03750471770763397,
-0.03544803708791733,
0.022100642323493958,
0.06908168643712997,
-0.02446722984313965,
-0.12867164611816406,
0.016759755089879036,
-0.004248670302331448,
0.00952156912535429,
0.06171785295009613,
0.12470362335443497,
0.04806021600961685,
-0.001007133862003684,
0.024333858862519264,
0.0649956464767456,
-0.022380394861102104,
0.017659924924373627,
0.05089551955461502,
-0.05509348586201668,
-0.013697797432541847,
-1.948607113042269e-34,
-0.026664847508072853,
-0.005223996005952358,
-0.0026910481974482536,
0.06197419762611389,
0.00412616366520524,
-0.020121127367019653,
0.11091060191392899,
0.032879676669836044,
0.0388820618391037,
-0.0258613470941782,
0.002784981857985258,
0.07735126465559006,
-0.013966399244964123,
-0.024761661887168884,
-0.07955130189657211,
-0.046781349927186966,
-0.03407340496778488,
-0.012703622691333294,
0.09149985015392303,
-0.05996984988451004,
0.08531872183084488,
0.0790758728981018,
0.04714089632034302,
-0.04725529998540878,
-0.08822774887084961,
-0.03280364349484444,
0.012328865937888622,
0.06558328866958618,
-0.037521298974752426,
0.032930243760347366,
-0.11188234388828278,
0.022672714665532112,
0.0004238099209032953,
-0.06714539229869843,
0.03574328124523163,
0.0018347037257626653,
0.02266228199005127,
-0.02391115576028824,
0.0023415163159370422,
0.04972539097070694,
-0.02376651018857956,
0.013086682185530663,
-0.02342856489121914,
0.006379579659551382,
-0.06322263181209564,
-0.027427390217781067,
0.07696212828159332,
-0.04912956804037094,
0.026485826820135117,
0.007005046587437391,
0.04493533447384834,
-0.08866926282644272,
-0.019211212173104286,
0.02768225595355034,
0.028901807963848114,
-0.06482362747192383,
-0.12325886636972427,
0.084029421210289,
-0.06950639933347702,
-0.012986578978598118,
0.048787686973810196,
0.13731428980827332,
0.1334480494260788,
0.05002845451235771,
-0.07138390094041824,
-0.07687407732009888,
-0.05626533925533295,
0.10257583111524582,
-0.016668034717440605,
0.0008890440803952515,
-0.0012896325206384063,
0.015092633664608002,
-0.04022027552127838,
0.010806655511260033,
0.04229726269841194,
0.035023100674152374,
0.004088380839675665,
-0.019571920856833458,
0.045401230454444885,
0.036834657192230225,
-0.024095216765999794,
0.02717675268650055,
-0.08145347237586975,
-0.04202205315232277,
-0.07922044396400452,
0.05556980147957802,
-0.0023766765370965004,
-0.04339045658707619,
-0.015790393576025963,
-0.07014871388673782,
0.04636988788843155,
0.08499938994646072,
-0.0066576795652508736,
-0.058865051716566086,
-0.04368946701288223,
-4.0709206078898976e-33,
0.018344813957810402,
-0.0430348739027977,
-0.008219685405492783,
0.006671028211712837,
-0.018815983086824417,
0.04464611038565636,
-0.020495327189564705,
0.022777114063501358,
-0.12072707712650299,
-0.06187112256884575,
0.018650315701961517,
-0.060011353343725204,
-0.08177569508552551,
-0.049187857657670975,
-0.030682755634188652,
-0.0502488799393177,
-0.06527688354253769,
0.047794461250305176,
-0.030017953366041183,
0.0064516616985201836,
0.012421595863997936,
0.0329851359128952,
0.06368815898895264,
0.020343972370028496,
-0.013590662740170956,
-0.0024810275062918663,
-0.05448101833462715,
-0.018008708953857422,
-0.03187280893325806,
0.03198949247598648,
0.029331179335713387,
-0.010039407759904861,
-0.05829308182001114,
0.012651881203055382,
-0.00823174323886633,
-0.04106399416923523,
0.0066705793142318726,
0.053708240389823914,
-0.006871066056191921,
0.013867290690541267,
-0.022032735869288445,
0.10875770449638367,
0.0726105347275734,
0.023455826565623283,
-0.012731693685054779,
0.00862998329102993,
0.06619596481323242,
-0.044076498597860336,
-0.002326349029317498,
0.009615804068744183,
-0.00491325743496418,
-0.06149882823228836,
0.04866788163781166,
-0.025828344747424126,
-0.06369373202323914,
0.04940582811832428,
-0.013909123837947845,
-0.032455384731292725,
0.06027640774846077,
0.0474671870470047,
-0.0022228541783988476,
0.004158141557127237,
0.009266389533877373,
-0.007946171797811985,
0.024722961708903313,
0.005220809485763311,
-0.005546157713979483,
0.02722059190273285,
-0.09640130400657654,
-0.021992728114128113,
0.0949714332818985,
-0.04062265902757645,
-0.08301389962434769,
0.020902596414089203,
-0.028505880385637283,
0.06448135524988174,
0.1173330545425415,
-0.05480233207345009,
-0.022915152832865715,
-0.01162161398679018,
0.054566774517297745,
0.09747975319623947,
-0.0549449659883976,
-0.07765833288431168,
-0.028486698865890503,
0.05218734219670296,
-0.0638713613152504,
-0.06552273035049438,
-0.025601694360375404,
-0.05641710013151169,
0.01622711308300495,
0.0011792537989094853,
0.0381806381046772,
0.021984126418828964,
0.03408309444785118,
-6.252283668573e-8,
-0.01761547476053238,
0.012565919198095798,
-0.019683171063661575,
0.0016837060684338212,
-0.01894625835120678,
0.011380646377801895,
-0.09588993340730667,
-0.055319126695394516,
0.09619481861591339,
-0.03604799136519432,
0.06873959302902222,
-0.01583928056061268,
-0.058727018535137177,
0.03937836363911629,
-0.10786657780408859,
0.011838543228805065,
0.00248130364343524,
-0.06668858230113983,
0.036023564636707306,
0.028606968000531197,
0.008537091314792633,
-0.028998250141739845,
0.008377967402338982,
-0.0032909505534917116,
0.062248218804597855,
0.10567713528871536,
0.01658543199300766,
0.02229558303952217,
0.07293747365474701,
0.028871234506368637,
0.0021375897340476513,
-0.10425294190645218,
0.02559986338019371,
-0.0327720008790493,
-0.14452539384365082,
0.0001682983711361885,
-0.0170078556984663,
-0.03456205502152443,
-0.06266828626394272,
0.05290446802973747,
0.011579438112676144,
-0.019666695967316628,
0.021582188084721565,
-0.0020331428386271,
-0.04452013224363327,
0.024844562634825706,
-0.1077243983745575,
-0.016077028587460518,
-0.11576106399297714,
0.029669271782040596,
0.0018535261042416096,
-0.0386669859290123,
0.019577883183956146,
0.03464138135313988,
-0.037084534764289856,
0.012680687941610813,
-0.0526973120868206,
0.003341991687193513,
-0.027408596128225327,
-0.04162244126200676,
0.05351921543478966,
0.07056228071451187,
-0.022808605805039406,
0.10004172474145889
] |
1401.7735
|
Nitesh Goyal
|
Anuj Tewari, Nitesh Goyal, Matthew K Chan, Tina Yau, John Canny, Ulrik
Schroeder
|
SPRING: speech and pronunciation improvement through games, for Hispanic
children
|
ACM ICTD 2010
| null |
10.1145/2369220.2369265
| null |
cs.HC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lack of proper English pronunciations is a major problem for immigrant
population in developed countries like U.S. This poses various problems,
including a barrier to entry into mainstream society. This paper presents a
research study that explores the use of speech technologies merged with
activity-based and arcade-based games to do pronunciation feedback for Hispanic
children within the U.S. A 3-month long study with immigrant population in
California was used to investigate and analyze the effectiveness of computer
aided pronunciation feedback through games. In addition to quantitative
findings that point to statistically significant gains in pronunciation
quality, the paper also explores qualitative findings, interaction patterns and
challenges faced by the researchers in dealing with this community. It also
describes the issues involved in dealing with pronunciation as a competency.
|
[
{
"created": "Thu, 30 Jan 2014 04:50:19 GMT",
"version": "v1"
}
] |
2019-02-12
|
[
[
"Tewari",
"Anuj",
""
],
[
"Goyal",
"Nitesh",
""
],
[
"Chan",
"Matthew K",
""
],
[
"Yau",
"Tina",
""
],
[
"Canny",
"John",
""
],
[
"Schroeder",
"Ulrik",
""
]
] |
[
0.07291310280561447,
-0.07369273155927658,
-0.014396791346371174,
-0.03859196975827217,
-0.1097249984741211,
0.046188656240701675,
0.07286080718040466,
-0.02983814664185047,
0.0143509516492486,
-0.053555481135845184,
0.003083627438172698,
-0.025829346850514412,
0.00462185125797987,
-0.0411728173494339,
0.042906563729047775,
0.04070163890719414,
0.07829038798809052,
0.03385245054960251,
-0.005912252236157656,
-0.17478442192077637,
-0.03282412141561508,
0.05220653861761093,
0.08851797878742218,
0.03370869904756546,
-0.022022584453225136,
0.020912516862154007,
-0.08469057828187943,
-0.014761882834136486,
-0.0016675471561029553,
0.02705512009561062,
-0.03508222475647926,
0.028684701770544052,
0.09362172335386276,
-0.00708572193980217,
-0.0873682051897049,
-0.0011420825030654669,
0.07381825149059296,
-0.05862439051270485,
-0.033946502953767776,
-0.03832564875483513,
-0.1137186661362648,
0.00563172297552228,
0.003704173257574439,
-0.04538596048951149,
0.019796650856733322,
-0.054803892970085144,
-0.12014275044202805,
0.07401510328054428,
-0.025046896189451218,
0.09057571738958359,
-0.036790166050195694,
-0.05814298614859581,
0.16332457959651947,
-0.015107219107449055,
-0.03191360458731651,
0.034564342349767685,
0.061769962310791016,
0.10338671505451202,
0.03826068341732025,
0.05614284798502922,
-0.02043513022363186,
-0.08165320754051208,
-0.06128515675663948,
0.0668162852525711,
-0.0762643963098526,
-0.005312066990882158,
-0.030539581552147865,
-0.01828555017709732,
0.015115000307559967,
-0.0714198425412178,
-0.10877815634012222,
0.06233297660946846,
0.03187330439686775,
0.11850546300411224,
0.00964625459164381,
0.028114717453718185,
-0.02770165354013443,
-0.03785107657313347,
0.016085529699921608,
0.03245188668370247,
0.0154357785359025,
-0.05392029881477356,
0.011218626983463764,
-0.06013103947043419,
-0.001462710788473487,
-0.020087644457817078,
-0.03876463696360588,
0.00768413208425045,
-0.03811602666974068,
0.026439085602760315,
-0.0625874474644661,
-0.00605090381577611,
0.051788680255413055,
0.04528956860303879,
0.029376067221164703,
0.017039829865098,
-0.018767880275845528,
-0.07527147233486176,
-0.034097906202077866,
-0.00839187391102314,
0.01426306925714016,
0.03676833584904671,
-0.0009710454614832997,
-0.053116973489522934,
-0.048443760722875595,
0.03734172135591507,
-0.06995938718318939,
0.004076067358255386,
-0.028625356033444405,
-0.013368005864322186,
-0.023024730384349823,
-0.08246197551488876,
0.0044398740865290165,
0.0442042350769043,
-0.006879747379571199,
-0.00235431338660419,
0.0073272655718028545,
-0.008245698176324368,
0.021646104753017426,
-0.0057804174721241,
0.0711427703499794,
0.008919969201087952,
-0.05995654687285423,
-0.030339041724801064,
0.06475605070590973,
-0.008253470994532108,
-0.01815328560769558,
-1.617037579639986e-33,
0.014061948284506798,
0.030811680480837822,
0.01630217954516411,
0.10475371032953262,
0.0037997066974639893,
-0.07454517483711243,
0.04033737629652023,
-0.03126274049282074,
-0.017992502078413963,
-0.04023221135139465,
0.0388634130358696,
0.03908141329884529,
-0.03781001269817352,
-0.02139200270175934,
0.13745158910751343,
0.04821451008319855,
-0.11162189394235611,
0.05408298969268799,
-0.03853708878159523,
0.0031758954282850027,
0.08229569345712662,
0.0006802650750614703,
0.0930488333106041,
0.037560198456048965,
0.024222418665885925,
0.02335231937468052,
-0.0022659741807729006,
-0.07562638819217682,
0.07036416232585907,
-0.019643528386950493,
-0.1065417155623436,
-0.06007910892367363,
0.0017373854061588645,
-0.04085228592157364,
0.05077004432678223,
-0.011440613307058811,
0.14098390936851501,
-0.007289499044418335,
-0.011661818251013756,
0.048449162393808365,
-0.04210108518600464,
-0.01453519519418478,
0.011172451078891754,
0.04042494669556618,
0.04068598523736,
0.014186656102538109,
0.04313836991786957,
-0.062448762357234955,
-0.000499662768561393,
0.04580356180667877,
-0.07404935359954834,
0.034459009766578674,
-0.0070082927122712135,
-0.05660184845328331,
0.028127258643507957,
0.011462997645139694,
0.053811151534318924,
-0.017027491703629494,
-0.03503914922475815,
-0.0814111977815628,
0.0024560929741710424,
0.013892469927668571,
0.022777115926146507,
-0.0358613096177578,
-0.03886132314801216,
-0.00033588323276489973,
0.03259997442364693,
0.05080237239599228,
0.025691509246826172,
-0.05883016437292099,
0.04624589532613754,
-0.018859148025512695,
0.05457267165184021,
0.028771283105015755,
-0.03268902003765106,
-0.005782391410320997,
-0.04891728609800339,
-0.055671051144599915,
0.06224266067147255,
-0.04970164597034454,
0.009658741764724255,
-0.04668170586228371,
-0.04249439761042595,
0.0039023705758154392,
0.021996622905135155,
-0.01660843938589096,
0.010412001051008701,
-0.018335219472646713,
0.03549468517303467,
0.0004534326435532421,
-0.11565449833869934,
0.0713629499077797,
-0.003560342825949192,
0.018779616802930832,
0.05108018219470978,
-2.1360655389730512e-33,
-0.07258021086454391,
-0.018487120047211647,
-0.017713624984025955,
0.04790087044239044,
-0.08057203888893127,
0.043119389563798904,
0.02583257108926773,
-0.0016066307434812188,
0.05777687579393387,
-0.0833224207162857,
-0.09658586233854294,
0.036030013114213943,
0.07404529303312302,
0.03147764131426811,
-0.04829923063516617,
-0.08268621563911438,
0.034708403050899506,
0.05773960426449776,
0.003300836542621255,
0.07258979231119156,
0.031104305759072304,
-0.020635506138205528,
-0.03095582313835621,
0.021738864481449127,
0.007616541814059019,
-0.06240660324692726,
-0.08591180294752121,
-0.13515034317970276,
0.01466390211135149,
0.052893102169036865,
0.0008797229384072125,
-0.01000244915485382,
0.03185006231069565,
0.05744648352265358,
0.014222298748791218,
0.016086837276816368,
0.007568479981273413,
-0.03386310487985611,
-0.02876383066177368,
-0.03478747233748436,
-0.039969928562641144,
-0.030338825657963753,
-0.0803854689002037,
-0.037221986800432205,
0.016245629638433456,
0.08622532337903976,
-0.06893584132194519,
-0.022063490003347397,
-0.0663314089179039,
-0.02909291721880436,
0.09652357548475266,
-0.010262563824653625,
-0.008308500982820988,
-0.014590587466955185,
-0.053424540907144547,
0.00768233323469758,
0.05501358211040497,
-0.07522717118263245,
-0.06052938476204872,
0.036053366959095,
-0.05306318402290344,
-0.001813926617614925,
0.010932481847703457,
-0.07694623619318008,
0.01908601075410843,
0.008722820319235325,
0.000050753482355503365,
0.058843567967414856,
0.10592992603778839,
-0.02913711965084076,
-0.016202056780457497,
0.02743348851799965,
-0.03567298874258995,
-0.03000195138156414,
-0.06704825907945633,
0.00513222673907876,
-0.06266926974058151,
-0.06388167291879654,
-0.03887099400162697,
0.044047582894563675,
-0.018644174560904503,
0.03447888791561127,
0.03282013535499573,
-0.07750585675239563,
0.03849594295024872,
0.07760492712259293,
-0.08729644119739532,
0.000024242330255219713,
-0.01711329258978367,
0.03310367092490196,
0.02716493420302868,
0.10324930399656296,
-0.00042877093073911965,
-0.04433022439479828,
-0.06524328142404556,
-4.388163432622605e-8,
0.0497530996799469,
0.015469709411263466,
0.09793002903461456,
-0.0285860076546669,
-0.03342174366116524,
-0.027609921991825104,
-0.014329285360872746,
0.0008846146520227194,
0.04391905665397644,
0.038384318351745605,
-0.09194443374872208,
-0.01310001127421856,
0.02464320883154869,
0.01577397994697094,
0.06605115532875061,
0.028360813856124878,
0.06058423966169357,
0.11296328902244568,
-0.052602369338274,
-0.026980875059962273,
0.07178916782140732,
0.10005608201026917,
-0.018260719254612923,
-0.003762147156521678,
-0.06639961898326874,
-0.0358571857213974,
-0.05252273008227348,
0.01550624705851078,
-0.028679272159934044,
-0.009660420939326286,
0.01913677155971527,
0.0037662924733012915,
-0.03661679849028587,
-0.05151589959859848,
0.01057166326791048,
-0.05687583237886429,
0.00929776206612587,
0.04003977030515671,
0.04036255553364754,
0.03475099802017212,
-0.07956814765930176,
0.03332405909895897,
-0.015500201843678951,
0.028447747230529785,
-0.005939742550253868,
0.022737378254532814,
-0.0723743811249733,
-0.07749779522418976,
0.017506444826722145,
0.09431483596563339,
0.002188519574701786,
-0.03788811340928078,
-0.010755488649010658,
-0.014501817524433136,
0.13983941078186035,
0.054572660475969315,
0.0336311012506485,
0.016850419342517853,
0.062387410551309586,
0.05499986559152603,
0.011539964005351067,
0.08039768785238266,
0.013229639269411564,
0.027294494211673737
] | null | null | null | null | null | null | null |
[
0.07291310280561447,
-0.07369273155927658,
-0.014396791346371174,
-0.03859196975827217,
-0.1097249984741211,
0.046188656240701675,
0.07286080718040466,
-0.02983814664185047,
0.0143509516492486,
-0.053555481135845184,
0.003083627438172698,
-0.025829346850514412,
0.00462185125797987,
-0.0411728173494339,
0.042906563729047775,
0.04070163890719414,
0.07829038798809052,
0.03385245054960251,
-0.005912252236157656,
-0.17478442192077637,
-0.03282412141561508,
0.05220653861761093,
0.08851797878742218,
0.03370869904756546,
-0.022022584453225136,
0.020912516862154007,
-0.08469057828187943,
-0.014761882834136486,
-0.0016675471561029553,
0.02705512009561062,
-0.03508222475647926,
0.028684701770544052,
0.09362172335386276,
-0.00708572193980217,
-0.0873682051897049,
-0.0011420825030654669,
0.07381825149059296,
-0.05862439051270485,
-0.033946502953767776,
-0.03832564875483513,
-0.1137186661362648,
0.00563172297552228,
0.003704173257574439,
-0.04538596048951149,
0.019796650856733322,
-0.054803892970085144,
-0.12014275044202805,
0.07401510328054428,
-0.025046896189451218,
0.09057571738958359,
-0.036790166050195694,
-0.05814298614859581,
0.16332457959651947,
-0.015107219107449055,
-0.03191360458731651,
0.034564342349767685,
0.061769962310791016,
0.10338671505451202,
0.03826068341732025,
0.05614284798502922,
-0.02043513022363186,
-0.08165320754051208,
-0.06128515675663948,
0.0668162852525711,
-0.0762643963098526,
-0.005312066990882158,
-0.030539581552147865,
-0.01828555017709732,
0.015115000307559967,
-0.0714198425412178,
-0.10877815634012222,
0.06233297660946846,
0.03187330439686775,
0.11850546300411224,
0.00964625459164381,
0.028114717453718185,
-0.02770165354013443,
-0.03785107657313347,
0.016085529699921608,
0.03245188668370247,
0.0154357785359025,
-0.05392029881477356,
0.011218626983463764,
-0.06013103947043419,
-0.001462710788473487,
-0.020087644457817078,
-0.03876463696360588,
0.00768413208425045,
-0.03811602666974068,
0.026439085602760315,
-0.0625874474644661,
-0.00605090381577611,
0.051788680255413055,
0.04528956860303879,
0.029376067221164703,
0.017039829865098,
-0.018767880275845528,
-0.07527147233486176,
-0.034097906202077866,
-0.00839187391102314,
0.01426306925714016,
0.03676833584904671,
-0.0009710454614832997,
-0.053116973489522934,
-0.048443760722875595,
0.03734172135591507,
-0.06995938718318939,
0.004076067358255386,
-0.028625356033444405,
-0.013368005864322186,
-0.023024730384349823,
-0.08246197551488876,
0.0044398740865290165,
0.0442042350769043,
-0.006879747379571199,
-0.00235431338660419,
0.0073272655718028545,
-0.008245698176324368,
0.021646104753017426,
-0.0057804174721241,
0.0711427703499794,
0.008919969201087952,
-0.05995654687285423,
-0.030339041724801064,
0.06475605070590973,
-0.008253470994532108,
-0.01815328560769558,
-1.617037579639986e-33,
0.014061948284506798,
0.030811680480837822,
0.01630217954516411,
0.10475371032953262,
0.0037997066974639893,
-0.07454517483711243,
0.04033737629652023,
-0.03126274049282074,
-0.017992502078413963,
-0.04023221135139465,
0.0388634130358696,
0.03908141329884529,
-0.03781001269817352,
-0.02139200270175934,
0.13745158910751343,
0.04821451008319855,
-0.11162189394235611,
0.05408298969268799,
-0.03853708878159523,
0.0031758954282850027,
0.08229569345712662,
0.0006802650750614703,
0.0930488333106041,
0.037560198456048965,
0.024222418665885925,
0.02335231937468052,
-0.0022659741807729006,
-0.07562638819217682,
0.07036416232585907,
-0.019643528386950493,
-0.1065417155623436,
-0.06007910892367363,
0.0017373854061588645,
-0.04085228592157364,
0.05077004432678223,
-0.011440613307058811,
0.14098390936851501,
-0.007289499044418335,
-0.011661818251013756,
0.048449162393808365,
-0.04210108518600464,
-0.01453519519418478,
0.011172451078891754,
0.04042494669556618,
0.04068598523736,
0.014186656102538109,
0.04313836991786957,
-0.062448762357234955,
-0.000499662768561393,
0.04580356180667877,
-0.07404935359954834,
0.034459009766578674,
-0.0070082927122712135,
-0.05660184845328331,
0.028127258643507957,
0.011462997645139694,
0.053811151534318924,
-0.017027491703629494,
-0.03503914922475815,
-0.0814111977815628,
0.0024560929741710424,
0.013892469927668571,
0.022777115926146507,
-0.0358613096177578,
-0.03886132314801216,
-0.00033588323276489973,
0.03259997442364693,
0.05080237239599228,
0.025691509246826172,
-0.05883016437292099,
0.04624589532613754,
-0.018859148025512695,
0.05457267165184021,
0.028771283105015755,
-0.03268902003765106,
-0.005782391410320997,
-0.04891728609800339,
-0.055671051144599915,
0.06224266067147255,
-0.04970164597034454,
0.009658741764724255,
-0.04668170586228371,
-0.04249439761042595,
0.0039023705758154392,
0.021996622905135155,
-0.01660843938589096,
0.010412001051008701,
-0.018335219472646713,
0.03549468517303467,
0.0004534326435532421,
-0.11565449833869934,
0.0713629499077797,
-0.003560342825949192,
0.018779616802930832,
0.05108018219470978,
-2.1360655389730512e-33,
-0.07258021086454391,
-0.018487120047211647,
-0.017713624984025955,
0.04790087044239044,
-0.08057203888893127,
0.043119389563798904,
0.02583257108926773,
-0.0016066307434812188,
0.05777687579393387,
-0.0833224207162857,
-0.09658586233854294,
0.036030013114213943,
0.07404529303312302,
0.03147764131426811,
-0.04829923063516617,
-0.08268621563911438,
0.034708403050899506,
0.05773960426449776,
0.003300836542621255,
0.07258979231119156,
0.031104305759072304,
-0.020635506138205528,
-0.03095582313835621,
0.021738864481449127,
0.007616541814059019,
-0.06240660324692726,
-0.08591180294752121,
-0.13515034317970276,
0.01466390211135149,
0.052893102169036865,
0.0008797229384072125,
-0.01000244915485382,
0.03185006231069565,
0.05744648352265358,
0.014222298748791218,
0.016086837276816368,
0.007568479981273413,
-0.03386310487985611,
-0.02876383066177368,
-0.03478747233748436,
-0.039969928562641144,
-0.030338825657963753,
-0.0803854689002037,
-0.037221986800432205,
0.016245629638433456,
0.08622532337903976,
-0.06893584132194519,
-0.022063490003347397,
-0.0663314089179039,
-0.02909291721880436,
0.09652357548475266,
-0.010262563824653625,
-0.008308500982820988,
-0.014590587466955185,
-0.053424540907144547,
0.00768233323469758,
0.05501358211040497,
-0.07522717118263245,
-0.06052938476204872,
0.036053366959095,
-0.05306318402290344,
-0.001813926617614925,
0.010932481847703457,
-0.07694623619318008,
0.01908601075410843,
0.008722820319235325,
0.000050753482355503365,
0.058843567967414856,
0.10592992603778839,
-0.02913711965084076,
-0.016202056780457497,
0.02743348851799965,
-0.03567298874258995,
-0.03000195138156414,
-0.06704825907945633,
0.00513222673907876,
-0.06266926974058151,
-0.06388167291879654,
-0.03887099400162697,
0.044047582894563675,
-0.018644174560904503,
0.03447888791561127,
0.03282013535499573,
-0.07750585675239563,
0.03849594295024872,
0.07760492712259293,
-0.08729644119739532,
0.000024242330255219713,
-0.01711329258978367,
0.03310367092490196,
0.02716493420302868,
0.10324930399656296,
-0.00042877093073911965,
-0.04433022439479828,
-0.06524328142404556,
-4.388163432622605e-8,
0.0497530996799469,
0.015469709411263466,
0.09793002903461456,
-0.0285860076546669,
-0.03342174366116524,
-0.027609921991825104,
-0.014329285360872746,
0.0008846146520227194,
0.04391905665397644,
0.038384318351745605,
-0.09194443374872208,
-0.01310001127421856,
0.02464320883154869,
0.01577397994697094,
0.06605115532875061,
0.028360813856124878,
0.06058423966169357,
0.11296328902244568,
-0.052602369338274,
-0.026980875059962273,
0.07178916782140732,
0.10005608201026917,
-0.018260719254612923,
-0.003762147156521678,
-0.06639961898326874,
-0.0358571857213974,
-0.05252273008227348,
0.01550624705851078,
-0.028679272159934044,
-0.009660420939326286,
0.01913677155971527,
0.0037662924733012915,
-0.03661679849028587,
-0.05151589959859848,
0.01057166326791048,
-0.05687583237886429,
0.00929776206612587,
0.04003977030515671,
0.04036255553364754,
0.03475099802017212,
-0.07956814765930176,
0.03332405909895897,
-0.015500201843678951,
0.028447747230529785,
-0.005939742550253868,
0.022737378254532814,
-0.0723743811249733,
-0.07749779522418976,
0.017506444826722145,
0.09431483596563339,
0.002188519574701786,
-0.03788811340928078,
-0.010755488649010658,
-0.014501817524433136,
0.13983941078186035,
0.054572660475969315,
0.0336311012506485,
0.016850419342517853,
0.062387410551309586,
0.05499986559152603,
0.011539964005351067,
0.08039768785238266,
0.013229639269411564,
0.027294494211673737
] |
1401.7739
|
Ian Petersen
|
A. Lanzon and I. R. Petersen
|
Stability robustness of a feedback interconnection of systems with
negative imaginary frequency response
| null |
IEEE Transactions on Automatic Control, vol 53, no 4, pp 1042-1046
2008
| null | null |
math.OC cs.SY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A necessary and sufficient condition, expressed simply as the DC loop gain
(ie the loop gain at zero frequency) being less than unity, is given in this
paper to guarantee the internal stability of a feedback interconnection of
Linear Time-Invariant (LTI) Multiple-Input Multiple-Output (MIMO) systems with
negative imaginary frequency response. Systems with negative imaginary
frequency response arise for example when considering transfer functions from
force actuators to co-located position sensors, and are commonly important in
for example lightly damped structures. The key result presented here has
similar application to the small-gain theorem, which refers to the stability of
feedback interconnections of contractive gain systems, and the passivity
theorem (or more precisely the positive real theorem in the LTI case), which
refers to the stability of feedback interconnections of positive real systems.
A complete state-space characterisation of systems with negative imaginary
frequency response is also given in this paper and also an example that
demonstrates the application of the key result is provided.
|
[
{
"created": "Thu, 30 Jan 2014 05:09:46 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Lanzon",
"A.",
""
],
[
"Petersen",
"I. R.",
""
]
] |
[
-0.06530707329511642,
0.04976677522063255,
-0.016761068254709244,
0.0004164207784924656,
-0.04851954057812691,
-0.012300022877752781,
0.050587937235832214,
0.05581706762313843,
0.029806002974510193,
-0.0023436255287379026,
0.11053125560283661,
0.02572028338909149,
0.12243152409791946,
-0.03600575774908066,
-0.08332135528326035,
0.06754803657531738,
0.03126640245318413,
0.047297872602939606,
0.03199722245335579,
0.0029853209853172302,
0.027703654021024704,
-0.0024354015477001667,
-0.0321950726211071,
-0.073947012424469,
-0.08720177412033081,
0.010498281568288803,
-0.13070054352283478,
-0.05275401100516319,
0.034197159111499786,
-0.023475253954529762,
-0.08547386527061462,
-0.0002540338318794966,
0.03596889600157738,
-0.07836821675300598,
-0.0213382076472044,
0.011065985076129436,
0.07313057780265808,
0.003152642399072647,
0.09080744534730911,
0.054760221391916275,
-0.012343845330178738,
0.02826019749045372,
0.10783625394105911,
-0.07878473401069641,
-0.016337517648935318,
-0.024220064282417297,
-0.028985651209950447,
-0.020719461143016815,
-0.04000449553132057,
-0.014692314900457859,
0.009691760875284672,
0.10009600222110748,
0.018364019691944122,
0.03255528584122658,
0.04320560395717621,
-0.07198554277420044,
-0.01744457334280014,
0.11836573481559753,
-0.08917020261287689,
-0.016644490882754326,
0.09373995661735535,
-0.03003671020269394,
0.014167869463562965,
-0.04137914255261421,
0.04562373459339142,
0.02429288625717163,
-0.02339892089366913,
0.022800954058766365,
-0.029147906228899956,
-0.03177198767662048,
-0.05843012407422066,
-0.026785070076584816,
-0.07270800322294235,
-0.07320671528577805,
0.0710262730717659,
0.06764906644821167,
-0.0392051562666893,
0.09941133111715317,
0.02564236707985401,
0.06389769166707993,
0.06220170110464096,
-0.004820561967790127,
-0.04514860734343529,
-0.12347602844238281,
0.009252374060451984,
-0.002841500099748373,
0.008061019703745842,
-0.005722298752516508,
0.1043093353509903,
0.028234083205461502,
-0.03452808037400246,
0.0376436822116375,
-0.039534859359264374,
0.00957962404936552,
0.007895920425653458,
-0.010056073777377605,
0.024313490837812424,
0.0592331625521183,
-0.0013982231030240655,
0.05310867354273796,
0.033333808183670044,
-0.056265439838171005,
0.024456776678562164,
0.05405840650200844,
0.03935127332806587,
0.009475895203649998,
0.012898926623165607,
-0.00487679336220026,
-0.006627417169511318,
-0.03790398687124252,
-0.11944679915904999,
-0.04019111022353172,
-0.049022141844034195,
0.024730147793889046,
0.0008546386379748583,
-0.00901253242045641,
0.06906300038099289,
0.08388646692037582,
0.06419011205434799,
-0.13476106524467468,
-0.037225186824798584,
-0.030084816738963127,
-0.042100466787815094,
-0.03906757012009621,
0.09268128871917725,
0.011078819632530212,
-0.03333083167672157,
1.2196204802067369e-33,
-0.11129629611968994,
0.02916807495057583,
0.00973677821457386,
0.014004703611135483,
-0.063775435090065,
-0.07184623926877975,
-0.032116927206516266,
0.012136244215071201,
0.032319143414497375,
-0.01378670148551464,
0.015588047914206982,
-0.027334127575159073,
-0.0013979492941871285,
-0.0031947954557836056,
-0.025358477607369423,
0.06695450842380524,
0.030455898493528366,
-0.1325400471687317,
0.07672104239463806,
0.012097179889678955,
0.09452506899833679,
-0.007071005646139383,
0.0006140903569757938,
-0.025651749223470688,
0.013790074735879898,
-0.04387007653713226,
0.02972283773124218,
0.03850493207573891,
-0.11959320306777954,
-0.05446913465857506,
0.01899830996990204,
0.04416121169924736,
0.014572931453585625,
-0.08442872017621994,
-0.007066766265779734,
0.004861620254814625,
0.08008258789777756,
-0.0003630760475061834,
0.05763586610555649,
0.08853583037853241,
-0.052503298968076706,
-0.020595649257302284,
-0.08669932186603546,
0.05943864956498146,
0.046949148178100586,
-0.04826121777296066,
0.027931910008192062,
0.008721889927983284,
-0.06807330995798111,
-0.008985432796180248,
-0.08712456375360489,
0.024869119748473167,
-0.10449785739183426,
-0.01567068323493004,
0.04755106568336487,
-0.03676244616508484,
-0.04334794357419014,
0.11370818316936493,
-0.002306122099980712,
0.12499403953552246,
-0.10664059221744537,
-0.06759046763181686,
0.04285125061869621,
-0.06418389827013016,
-0.02902950346469879,
0.022659065201878548,
-0.075186587870121,
-0.009880357421934605,
0.0645546242594719,
-0.033104605972766876,
0.005679246038198471,
-0.014928863383829594,
0.03247445821762085,
-0.056317683309316635,
0.10442591458559036,
-0.04442101716995239,
-0.11999349296092987,
-0.06596043705940247,
-0.016385475173592567,
0.08598091453313828,
0.06975596398115158,
0.01051290426403284,
-0.010868455283343792,
0.07114093005657196,
0.00019094441086053848,
-0.036110930144786835,
-0.006762858014553785,
-0.05327318608760834,
0.055049389600753784,
-0.06554476171731949,
-0.06561684608459473,
0.03912556543946266,
0.00039413984632119536,
-0.006041857413947582,
0.0050040301866829395,
-3.176882216324683e-33,
0.08727628737688065,
-0.047015827149152756,
0.00396059500053525,
-0.048015885055065155,
-0.04739804193377495,
0.0753047987818718,
-0.03245275467634201,
0.013852547854185104,
-0.041668254882097244,
0.04045472666621208,
0.026943767443299294,
-0.0003453618846833706,
-0.05482424795627594,
0.09576595574617386,
0.006995691452175379,
0.02588801085948944,
0.04137159138917923,
-0.06390195339918137,
0.04527495801448822,
-0.007163170259445906,
0.04844188690185547,
0.01810673251748085,
0.012562652118504047,
0.017722085118293762,
-0.0016319142887368798,
-0.00048619412700645626,
-0.07688500732183456,
0.049427252262830734,
-0.01953810825943947,
0.030496438965201378,
-0.028702087700366974,
-0.0023677668068557978,
0.039499375969171524,
0.04506288468837738,
0.04532242566347122,
-0.02103518508374691,
-0.02230551280081272,
-0.056816112250089645,
0.031579986214637756,
0.07305029779672623,
-0.015134398825466633,
-0.05434031039476395,
0.08679191768169403,
0.039031121879816055,
0.04783551022410393,
-0.02385992370545864,
-0.01993110217154026,
0.07288873940706253,
-0.06129148229956627,
0.00838105846196413,
0.0007973833126015961,
-0.07949572801589966,
-0.07384604215621948,
-0.08221945911645889,
0.034036725759506226,
0.041484106332063675,
0.01201087236404419,
0.027056101709604263,
0.05509161204099655,
0.07771724462509155,
-0.041014108806848526,
-0.0011366993421688676,
-0.06874091178178787,
-0.0541246235370636,
0.008505729958415031,
0.04381956160068512,
0.08938062936067581,
-0.054122790694236755,
0.09772652387619019,
0.004873699974268675,
0.06321224570274353,
0.017957156524062157,
0.035970136523246765,
-0.04257575422525406,
0.05780469626188278,
0.01592973805963993,
0.013340042904019356,
-0.03426147252321243,
-0.011173094622790813,
-0.007280027959495783,
-0.07880490273237228,
0.04372391477227211,
0.015714088454842567,
0.023334462195634842,
-0.0451028011739254,
-0.00009718108776723966,
-0.06670508533716202,
-0.020021528005599976,
-0.0013047861866652966,
-0.027091948315501213,
0.03221277892589569,
0.10381117463111877,
-0.0017002575332298875,
0.01528423372656107,
0.04932035505771637,
-4.885098903173457e-8,
0.005223920568823814,
-0.026880811899900436,
-0.039593104273080826,
0.03167569264769554,
0.0031434937845915556,
0.00864393450319767,
-0.020778732374310493,
-0.12619085609912872,
0.06875291466712952,
0.05586383491754532,
0.02380669303238392,
-0.037448395043611526,
-0.06888408958911896,
-0.08094603568315506,
-0.010496416129171848,
-0.013913515955209732,
-0.006105296313762665,
-0.02770053967833519,
0.020998485386371613,
-0.0016252514906227589,
0.03072567842900753,
-0.04712282866239548,
-0.01754552498459816,
-0.0034737535752356052,
0.022787509486079216,
-0.08741984516382217,
0.03460884094238281,
0.008428904227912426,
-0.02653215266764164,
0.021098922938108444,
0.013082320801913738,
0.036970026791095734,
-0.006929962430149317,
0.07425493001937866,
0.04509332776069641,
-0.05491037294268608,
0.03331781178712845,
0.0009959872113540769,
0.021525979042053223,
-0.056485362350940704,
-0.018423346802592278,
0.10766199976205826,
-0.03646181896328926,
-0.04444306343793869,
0.07010536640882492,
0.0629677027463913,
-0.016053298488259315,
-0.03611093387007713,
-0.02051704004406929,
0.003684399416670203,
-0.04362383484840393,
0.028771283105015755,
-0.004176866263151169,
0.06934209913015366,
-0.036167316138744354,
-0.037450578063726425,
0.03527797758579254,
-0.028032435104250908,
0.018010281026363373,
-0.023310869932174683,
-0.07903794199228287,
0.004377399571239948,
-0.010438848286867142,
-0.024427076801657677
] | null | null | null | null | null | null | null |
[
-0.06530707329511642,
0.04976677522063255,
-0.016761068254709244,
0.0004164207784924656,
-0.04851954057812691,
-0.012300022877752781,
0.050587937235832214,
0.05581706762313843,
0.029806002974510193,
-0.0023436255287379026,
0.11053125560283661,
0.02572028338909149,
0.12243152409791946,
-0.03600575774908066,
-0.08332135528326035,
0.06754803657531738,
0.03126640245318413,
0.047297872602939606,
0.03199722245335579,
0.0029853209853172302,
0.027703654021024704,
-0.0024354015477001667,
-0.0321950726211071,
-0.073947012424469,
-0.08720177412033081,
0.010498281568288803,
-0.13070054352283478,
-0.05275401100516319,
0.034197159111499786,
-0.023475253954529762,
-0.08547386527061462,
-0.0002540338318794966,
0.03596889600157738,
-0.07836821675300598,
-0.0213382076472044,
0.011065985076129436,
0.07313057780265808,
0.003152642399072647,
0.09080744534730911,
0.054760221391916275,
-0.012343845330178738,
0.02826019749045372,
0.10783625394105911,
-0.07878473401069641,
-0.016337517648935318,
-0.024220064282417297,
-0.028985651209950447,
-0.020719461143016815,
-0.04000449553132057,
-0.014692314900457859,
0.009691760875284672,
0.10009600222110748,
0.018364019691944122,
0.03255528584122658,
0.04320560395717621,
-0.07198554277420044,
-0.01744457334280014,
0.11836573481559753,
-0.08917020261287689,
-0.016644490882754326,
0.09373995661735535,
-0.03003671020269394,
0.014167869463562965,
-0.04137914255261421,
0.04562373459339142,
0.02429288625717163,
-0.02339892089366913,
0.022800954058766365,
-0.029147906228899956,
-0.03177198767662048,
-0.05843012407422066,
-0.026785070076584816,
-0.07270800322294235,
-0.07320671528577805,
0.0710262730717659,
0.06764906644821167,
-0.0392051562666893,
0.09941133111715317,
0.02564236707985401,
0.06389769166707993,
0.06220170110464096,
-0.004820561967790127,
-0.04514860734343529,
-0.12347602844238281,
0.009252374060451984,
-0.002841500099748373,
0.008061019703745842,
-0.005722298752516508,
0.1043093353509903,
0.028234083205461502,
-0.03452808037400246,
0.0376436822116375,
-0.039534859359264374,
0.00957962404936552,
0.007895920425653458,
-0.010056073777377605,
0.024313490837812424,
0.0592331625521183,
-0.0013982231030240655,
0.05310867354273796,
0.033333808183670044,
-0.056265439838171005,
0.024456776678562164,
0.05405840650200844,
0.03935127332806587,
0.009475895203649998,
0.012898926623165607,
-0.00487679336220026,
-0.006627417169511318,
-0.03790398687124252,
-0.11944679915904999,
-0.04019111022353172,
-0.049022141844034195,
0.024730147793889046,
0.0008546386379748583,
-0.00901253242045641,
0.06906300038099289,
0.08388646692037582,
0.06419011205434799,
-0.13476106524467468,
-0.037225186824798584,
-0.030084816738963127,
-0.042100466787815094,
-0.03906757012009621,
0.09268128871917725,
0.011078819632530212,
-0.03333083167672157,
1.2196204802067369e-33,
-0.11129629611968994,
0.02916807495057583,
0.00973677821457386,
0.014004703611135483,
-0.063775435090065,
-0.07184623926877975,
-0.032116927206516266,
0.012136244215071201,
0.032319143414497375,
-0.01378670148551464,
0.015588047914206982,
-0.027334127575159073,
-0.0013979492941871285,
-0.0031947954557836056,
-0.025358477607369423,
0.06695450842380524,
0.030455898493528366,
-0.1325400471687317,
0.07672104239463806,
0.012097179889678955,
0.09452506899833679,
-0.007071005646139383,
0.0006140903569757938,
-0.025651749223470688,
0.013790074735879898,
-0.04387007653713226,
0.02972283773124218,
0.03850493207573891,
-0.11959320306777954,
-0.05446913465857506,
0.01899830996990204,
0.04416121169924736,
0.014572931453585625,
-0.08442872017621994,
-0.007066766265779734,
0.004861620254814625,
0.08008258789777756,
-0.0003630760475061834,
0.05763586610555649,
0.08853583037853241,
-0.052503298968076706,
-0.020595649257302284,
-0.08669932186603546,
0.05943864956498146,
0.046949148178100586,
-0.04826121777296066,
0.027931910008192062,
0.008721889927983284,
-0.06807330995798111,
-0.008985432796180248,
-0.08712456375360489,
0.024869119748473167,
-0.10449785739183426,
-0.01567068323493004,
0.04755106568336487,
-0.03676244616508484,
-0.04334794357419014,
0.11370818316936493,
-0.002306122099980712,
0.12499403953552246,
-0.10664059221744537,
-0.06759046763181686,
0.04285125061869621,
-0.06418389827013016,
-0.02902950346469879,
0.022659065201878548,
-0.075186587870121,
-0.009880357421934605,
0.0645546242594719,
-0.033104605972766876,
0.005679246038198471,
-0.014928863383829594,
0.03247445821762085,
-0.056317683309316635,
0.10442591458559036,
-0.04442101716995239,
-0.11999349296092987,
-0.06596043705940247,
-0.016385475173592567,
0.08598091453313828,
0.06975596398115158,
0.01051290426403284,
-0.010868455283343792,
0.07114093005657196,
0.00019094441086053848,
-0.036110930144786835,
-0.006762858014553785,
-0.05327318608760834,
0.055049389600753784,
-0.06554476171731949,
-0.06561684608459473,
0.03912556543946266,
0.00039413984632119536,
-0.006041857413947582,
0.0050040301866829395,
-3.176882216324683e-33,
0.08727628737688065,
-0.047015827149152756,
0.00396059500053525,
-0.048015885055065155,
-0.04739804193377495,
0.0753047987818718,
-0.03245275467634201,
0.013852547854185104,
-0.041668254882097244,
0.04045472666621208,
0.026943767443299294,
-0.0003453618846833706,
-0.05482424795627594,
0.09576595574617386,
0.006995691452175379,
0.02588801085948944,
0.04137159138917923,
-0.06390195339918137,
0.04527495801448822,
-0.007163170259445906,
0.04844188690185547,
0.01810673251748085,
0.012562652118504047,
0.017722085118293762,
-0.0016319142887368798,
-0.00048619412700645626,
-0.07688500732183456,
0.049427252262830734,
-0.01953810825943947,
0.030496438965201378,
-0.028702087700366974,
-0.0023677668068557978,
0.039499375969171524,
0.04506288468837738,
0.04532242566347122,
-0.02103518508374691,
-0.02230551280081272,
-0.056816112250089645,
0.031579986214637756,
0.07305029779672623,
-0.015134398825466633,
-0.05434031039476395,
0.08679191768169403,
0.039031121879816055,
0.04783551022410393,
-0.02385992370545864,
-0.01993110217154026,
0.07288873940706253,
-0.06129148229956627,
0.00838105846196413,
0.0007973833126015961,
-0.07949572801589966,
-0.07384604215621948,
-0.08221945911645889,
0.034036725759506226,
0.041484106332063675,
0.01201087236404419,
0.027056101709604263,
0.05509161204099655,
0.07771724462509155,
-0.041014108806848526,
-0.0011366993421688676,
-0.06874091178178787,
-0.0541246235370636,
0.008505729958415031,
0.04381956160068512,
0.08938062936067581,
-0.054122790694236755,
0.09772652387619019,
0.004873699974268675,
0.06321224570274353,
0.017957156524062157,
0.035970136523246765,
-0.04257575422525406,
0.05780469626188278,
0.01592973805963993,
0.013340042904019356,
-0.03426147252321243,
-0.011173094622790813,
-0.007280027959495783,
-0.07880490273237228,
0.04372391477227211,
0.015714088454842567,
0.023334462195634842,
-0.0451028011739254,
-0.00009718108776723966,
-0.06670508533716202,
-0.020021528005599976,
-0.0013047861866652966,
-0.027091948315501213,
0.03221277892589569,
0.10381117463111877,
-0.0017002575332298875,
0.01528423372656107,
0.04932035505771637,
-4.885098903173457e-8,
0.005223920568823814,
-0.026880811899900436,
-0.039593104273080826,
0.03167569264769554,
0.0031434937845915556,
0.00864393450319767,
-0.020778732374310493,
-0.12619085609912872,
0.06875291466712952,
0.05586383491754532,
0.02380669303238392,
-0.037448395043611526,
-0.06888408958911896,
-0.08094603568315506,
-0.010496416129171848,
-0.013913515955209732,
-0.006105296313762665,
-0.02770053967833519,
0.020998485386371613,
-0.0016252514906227589,
0.03072567842900753,
-0.04712282866239548,
-0.01754552498459816,
-0.0034737535752356052,
0.022787509486079216,
-0.08741984516382217,
0.03460884094238281,
0.008428904227912426,
-0.02653215266764164,
0.021098922938108444,
0.013082320801913738,
0.036970026791095734,
-0.006929962430149317,
0.07425493001937866,
0.04509332776069641,
-0.05491037294268608,
0.03331781178712845,
0.0009959872113540769,
0.021525979042053223,
-0.056485362350940704,
-0.018423346802592278,
0.10766199976205826,
-0.03646181896328926,
-0.04444306343793869,
0.07010536640882492,
0.0629677027463913,
-0.016053298488259315,
-0.03611093387007713,
-0.02051704004406929,
0.003684399416670203,
-0.04362383484840393,
0.028771283105015755,
-0.004176866263151169,
0.06934209913015366,
-0.036167316138744354,
-0.037450578063726425,
0.03527797758579254,
-0.028032435104250908,
0.018010281026363373,
-0.023310869932174683,
-0.07903794199228287,
0.004377399571239948,
-0.010438848286867142,
-0.024427076801657677
] |
1401.7741
|
Mevlut Bulut Dr
|
Mevlut Bulut
|
ReducedCBT and SuperCBT, Two New and Improved Complete Binary Tree
Structures
|
12 pages research paper, contains 6 figures and a table
| null | null | null |
cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Between the leaves and the nodes of a complete binary tree, a separate
parent-child-sister hierarchy is employed independent of the
parent-child-sister hierarchy used for the rest of the tree. Two different
versions of such a local hierarchy are introduced. The result of the first
proposed hierarchy is a faster and smaller footprint, while the second one
provides the size variation functionality without a significant computational
overhead. This novel approach brings considerable memory gains and performance
boosts to the complete binary tree based algorithms.
|
[
{
"created": "Thu, 30 Jan 2014 05:16:01 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Bulut",
"Mevlut",
""
]
] |
[
0.09248806536197662,
0.07363041490316391,
0.01883517950773239,
0.003479883773252368,
0.06278377026319504,
-0.09710811823606491,
-0.098822221159935,
0.0032365114893764257,
-0.027121810242533684,
0.005843649618327618,
-0.007143336348235607,
-0.03656597062945366,
0.04098077863454819,
-0.047316815704107285,
0.010554966516792774,
0.06406894326210022,
-0.0036489444319158792,
0.06587135791778564,
0.013252108357846737,
-0.09382136166095734,
-0.0271910447627306,
-0.02776513248682022,
0.013414593413472176,
0.03067554533481598,
-0.004259758163243532,
0.09389542788267136,
-0.04577144980430603,
0.032342832535505295,
0.033690571784973145,
-0.057561032474040985,
-0.008602059446275234,
0.021194977685809135,
0.11412129551172256,
0.002489259233698249,
-0.07308175414800644,
0.06389686465263367,
-0.013151015155017376,
-0.009681891649961472,
-0.008022405207157135,
0.03985392674803734,
-0.030486084520816803,
0.10476803779602051,
0.0080075953155756,
-0.014346694573760033,
0.045862242579460144,
0.0871243104338646,
-0.015388183295726776,
0.03206976503133774,
-0.02040894143283367,
-0.0021120826713740826,
0.032920729368925095,
-0.061792898923158646,
-0.037332452833652496,
0.09677987545728683,
0.01815781369805336,
0.07502751052379608,
0.00022959847410675138,
-0.06250180304050446,
-0.007670522201806307,
0.06174841150641441,
0.0014929025201126933,
0.033934950828552246,
-0.05106192082166672,
-0.08780309557914734,
0.0025408335495740175,
0.023356027901172638,
0.06020548567175865,
-0.07896733283996582,
0.04290159046649933,
-0.054548509418964386,
0.06424667686223984,
0.05280907824635506,
-0.0363343320786953,
0.14553740620613098,
-0.0774359330534935,
0.043597713112831116,
0.09113713353872299,
0.04199377819895744,
-0.05085432529449463,
0.007931564934551716,
-0.10676237940788269,
0.0488705188035965,
-0.011587127111852169,
-0.007473672740161419,
0.034745536744594574,
0.012411040253937244,
-0.030682332813739777,
-0.02683364413678646,
-0.060968343168497086,
0.05980484560132027,
-0.0247939582914114,
-0.08110252767801285,
0.07835126668214798,
0.0024608506355434656,
-0.08670298755168915,
-0.056120384484529495,
0.02861146442592144,
-0.02099580317735672,
0.02191641740500927,
-0.0012471474474295974,
0.002692907815799117,
0.00848599523305893,
-0.007603924721479416,
-0.00741910096257925,
-0.010959813371300697,
0.019817396998405457,
-0.030246905982494354,
-0.028489679098129272,
-0.003733813762664795,
-0.06262059509754181,
-0.018166227266192436,
0.0021214450243860483,
-0.09843160957098007,
0.033666450530290604,
-0.07103221863508224,
-0.03110489249229431,
0.01881067082285881,
-0.02247186377644539,
0.015984049066901207,
0.01949625462293625,
0.07612673938274384,
-0.045019473880529404,
-0.030925501137971878,
0.014561756514012814,
0.013134719803929329,
-0.10206977277994156,
-0.03609341382980347,
5.432457602716448e-34,
0.0036553118843585253,
0.037028051912784576,
0.0281907320022583,
0.002676508855074644,
0.08180069178342819,
0.032147493213415146,
0.008181738667190075,
0.04137634485960007,
-0.08827903121709824,
0.0028621256351470947,
-0.0848071500658989,
-0.03792639821767807,
-0.016443120315670967,
-0.061677753925323486,
0.10197591036558151,
0.0035273560788482428,
-0.022336825728416443,
0.09329155832529068,
-0.021031128242611885,
0.012533090077340603,
-0.012437495402991772,
0.07940474152565002,
-0.039381589740514755,
-0.016285467892885208,
0.03973539546132088,
-0.029584024101495743,
0.06161152943968773,
-0.036725349724292755,
0.03609158471226692,
-0.017265260219573975,
-0.05280614271759987,
-0.030508168041706085,
-0.03735397383570671,
-0.02109413594007492,
-0.046182457357645035,
-0.051237914711236954,
0.03098134882748127,
-0.05504025146365166,
0.00706761609762907,
-0.047453638166189194,
-0.03934551402926445,
0.010629384778439999,
0.08021967858076096,
-0.04074880853295326,
-0.04708971455693245,
0.03234080970287323,
-0.00848708488047123,
0.008705485612154007,
0.01914622075855732,
0.051977258175611496,
0.04096582159399986,
0.018760109320282936,
0.04749888554215431,
0.05507029592990875,
-0.005775283556431532,
0.04584602639079094,
0.0448266938328743,
0.07075159251689911,
-0.011866478249430656,
0.12147148698568344,
0.05861068516969681,
-0.05057330057024956,
0.018679505214095116,
0.07027577608823776,
0.02770664542913437,
0.020586008206009865,
0.054887205362319946,
0.01354211289435625,
0.00761057436466217,
-0.030808009207248688,
-0.05259475111961365,
0.024330852553248405,
0.02093874104321003,
0.010959860868752003,
-0.04447853937745094,
0.029756689444184303,
0.02525831200182438,
-0.06801853328943253,
-0.04454470053315163,
-0.07150962948799133,
-0.07046099007129669,
0.024537919089198112,
0.1029195487499237,
-0.05917107313871384,
-0.004971358925104141,
-0.09262258559465408,
0.0076446011662483215,
0.03978904336690903,
-0.05304010212421417,
-0.016781270503997803,
-0.06275981664657593,
0.009415407665073872,
0.06529393047094345,
-0.010149643756449223,
0.04903702065348625,
-7.53781757620709e-34,
-0.013094387948513031,
-0.05581237003207207,
0.0892946720123291,
-0.021274875849485397,
-0.04337182641029358,
-0.059945445507764816,
-0.06326126307249069,
-0.09554864466190338,
-0.05779063701629639,
0.06116202101111412,
-0.030232485383749008,
0.028694795444607735,
0.051292963325977325,
-0.003333170898258686,
-0.01995260640978813,
-0.00026902667013928294,
-0.011341409757733345,
0.017095480114221573,
0.012011904269456863,
0.008817397989332676,
-0.015137096866965294,
0.07899496704339981,
0.022485898807644844,
-0.047279439866542816,
0.005052333697676659,
-0.06017584353685379,
-0.04738355055451393,
0.11588363349437714,
0.02914131060242653,
-0.020354952663183212,
-0.058188121765851974,
-0.0042074089869856834,
0.0386510044336319,
-0.07053504884243011,
0.030222086235880852,
-0.033431194722652435,
-0.05036047101020813,
-0.02996145933866501,
0.04408514127135277,
0.052758775651454926,
0.011120442301034927,
-0.007140348665416241,
-0.022235378623008728,
-0.06200328841805458,
-0.001680936198681593,
0.0480203777551651,
-0.0574188157916069,
0.08016549050807953,
0.037730589509010315,
0.024896124377846718,
-0.009006003849208355,
0.03862917050719261,
0.02620730735361576,
0.07474532723426819,
0.08344253897666931,
0.030424082651734352,
-0.07004117220640182,
0.07251546531915665,
0.05500375106930733,
-0.08349428325891495,
0.01329346839338541,
-0.08059290051460266,
-0.00652301125228405,
-0.022831231355667114,
-0.06915389746427536,
-0.008231371641159058,
-0.0714322030544281,
-0.09807521104812622,
-0.07008691877126694,
0.06821248680353165,
-0.06552623957395554,
0.032780345529317856,
-0.033011626452207565,
0.016153555363416672,
-0.058228373527526855,
-0.01678973250091076,
0.01702452078461647,
-0.01305088959634304,
-0.0047797542065382,
-0.016898563131690025,
-0.07449835538864136,
0.08471870422363281,
-0.011808129027485847,
-0.007166240364313126,
0.05668459087610245,
0.00806556548923254,
0.007241361774504185,
-0.022983310744166374,
0.07164935022592545,
-0.003829831490293145,
0.035384491086006165,
0.048873599618673325,
0.06950510293245316,
-0.01962531916797161,
-0.05297601968050003,
-4.209420367828898e-8,
-0.013878139667212963,
-0.022399134933948517,
0.017444178462028503,
-0.021731359884142876,
0.08847687393426895,
-0.05412746220827103,
0.04518652334809303,
0.13290104269981384,
-0.0438377782702446,
-0.00019264101865701377,
0.04343093931674957,
-0.051429882645606995,
-0.02770005352795124,
-0.06167789176106453,
0.1135755181312561,
-0.02674754336476326,
0.0700756162405014,
-0.08235684037208557,
0.024038705974817276,
0.12257461249828339,
0.05392208322882652,
0.017759576439857483,
0.011510247364640236,
0.13421501219272614,
0.0018701249500736594,
-0.11456127464771271,
0.04837258160114288,
0.05362366512417793,
0.02044190652668476,
-0.007399319671094418,
0.03139191120862961,
0.044291168451309204,
0.009606425650417805,
0.03908322751522064,
-0.006015772465616465,
0.05443514138460159,
-0.028003184124827385,
0.14721545577049255,
-0.10262247174978256,
-0.05307357385754585,
0.07038924843072891,
-0.09673437476158142,
-0.04269319400191307,
0.036193691194057465,
-0.010172205045819283,
-0.02795381285250187,
-0.012223977595567703,
0.0066213421523571014,
0.04114372655749321,
0.03021780587732792,
-0.05979051813483238,
-0.028855202719569206,
-0.04337151721119881,
-0.07168957591056824,
-0.003478672821074724,
0.011615065857768059,
-0.059145089238882065,
-0.05586108937859535,
0.06613975763320923,
0.05112456530332565,
0.07588904350996017,
-0.06387299299240112,
0.06094500795006752,
-0.0028193192556500435
] | null | null | null | null | null | null | null |
[
0.09248806536197662,
0.07363041490316391,
0.01883517950773239,
0.003479883773252368,
0.06278377026319504,
-0.09710811823606491,
-0.098822221159935,
0.0032365114893764257,
-0.027121810242533684,
0.005843649618327618,
-0.007143336348235607,
-0.03656597062945366,
0.04098077863454819,
-0.047316815704107285,
0.010554966516792774,
0.06406894326210022,
-0.0036489444319158792,
0.06587135791778564,
0.013252108357846737,
-0.09382136166095734,
-0.0271910447627306,
-0.02776513248682022,
0.013414593413472176,
0.03067554533481598,
-0.004259758163243532,
0.09389542788267136,
-0.04577144980430603,
0.032342832535505295,
0.033690571784973145,
-0.057561032474040985,
-0.008602059446275234,
0.021194977685809135,
0.11412129551172256,
0.002489259233698249,
-0.07308175414800644,
0.06389686465263367,
-0.013151015155017376,
-0.009681891649961472,
-0.008022405207157135,
0.03985392674803734,
-0.030486084520816803,
0.10476803779602051,
0.0080075953155756,
-0.014346694573760033,
0.045862242579460144,
0.0871243104338646,
-0.015388183295726776,
0.03206976503133774,
-0.02040894143283367,
-0.0021120826713740826,
0.032920729368925095,
-0.061792898923158646,
-0.037332452833652496,
0.09677987545728683,
0.01815781369805336,
0.07502751052379608,
0.00022959847410675138,
-0.06250180304050446,
-0.007670522201806307,
0.06174841150641441,
0.0014929025201126933,
0.033934950828552246,
-0.05106192082166672,
-0.08780309557914734,
0.0025408335495740175,
0.023356027901172638,
0.06020548567175865,
-0.07896733283996582,
0.04290159046649933,
-0.054548509418964386,
0.06424667686223984,
0.05280907824635506,
-0.0363343320786953,
0.14553740620613098,
-0.0774359330534935,
0.043597713112831116,
0.09113713353872299,
0.04199377819895744,
-0.05085432529449463,
0.007931564934551716,
-0.10676237940788269,
0.0488705188035965,
-0.011587127111852169,
-0.007473672740161419,
0.034745536744594574,
0.012411040253937244,
-0.030682332813739777,
-0.02683364413678646,
-0.060968343168497086,
0.05980484560132027,
-0.0247939582914114,
-0.08110252767801285,
0.07835126668214798,
0.0024608506355434656,
-0.08670298755168915,
-0.056120384484529495,
0.02861146442592144,
-0.02099580317735672,
0.02191641740500927,
-0.0012471474474295974,
0.002692907815799117,
0.00848599523305893,
-0.007603924721479416,
-0.00741910096257925,
-0.010959813371300697,
0.019817396998405457,
-0.030246905982494354,
-0.028489679098129272,
-0.003733813762664795,
-0.06262059509754181,
-0.018166227266192436,
0.0021214450243860483,
-0.09843160957098007,
0.033666450530290604,
-0.07103221863508224,
-0.03110489249229431,
0.01881067082285881,
-0.02247186377644539,
0.015984049066901207,
0.01949625462293625,
0.07612673938274384,
-0.045019473880529404,
-0.030925501137971878,
0.014561756514012814,
0.013134719803929329,
-0.10206977277994156,
-0.03609341382980347,
5.432457602716448e-34,
0.0036553118843585253,
0.037028051912784576,
0.0281907320022583,
0.002676508855074644,
0.08180069178342819,
0.032147493213415146,
0.008181738667190075,
0.04137634485960007,
-0.08827903121709824,
0.0028621256351470947,
-0.0848071500658989,
-0.03792639821767807,
-0.016443120315670967,
-0.061677753925323486,
0.10197591036558151,
0.0035273560788482428,
-0.022336825728416443,
0.09329155832529068,
-0.021031128242611885,
0.012533090077340603,
-0.012437495402991772,
0.07940474152565002,
-0.039381589740514755,
-0.016285467892885208,
0.03973539546132088,
-0.029584024101495743,
0.06161152943968773,
-0.036725349724292755,
0.03609158471226692,
-0.017265260219573975,
-0.05280614271759987,
-0.030508168041706085,
-0.03735397383570671,
-0.02109413594007492,
-0.046182457357645035,
-0.051237914711236954,
0.03098134882748127,
-0.05504025146365166,
0.00706761609762907,
-0.047453638166189194,
-0.03934551402926445,
0.010629384778439999,
0.08021967858076096,
-0.04074880853295326,
-0.04708971455693245,
0.03234080970287323,
-0.00848708488047123,
0.008705485612154007,
0.01914622075855732,
0.051977258175611496,
0.04096582159399986,
0.018760109320282936,
0.04749888554215431,
0.05507029592990875,
-0.005775283556431532,
0.04584602639079094,
0.0448266938328743,
0.07075159251689911,
-0.011866478249430656,
0.12147148698568344,
0.05861068516969681,
-0.05057330057024956,
0.018679505214095116,
0.07027577608823776,
0.02770664542913437,
0.020586008206009865,
0.054887205362319946,
0.01354211289435625,
0.00761057436466217,
-0.030808009207248688,
-0.05259475111961365,
0.024330852553248405,
0.02093874104321003,
0.010959860868752003,
-0.04447853937745094,
0.029756689444184303,
0.02525831200182438,
-0.06801853328943253,
-0.04454470053315163,
-0.07150962948799133,
-0.07046099007129669,
0.024537919089198112,
0.1029195487499237,
-0.05917107313871384,
-0.004971358925104141,
-0.09262258559465408,
0.0076446011662483215,
0.03978904336690903,
-0.05304010212421417,
-0.016781270503997803,
-0.06275981664657593,
0.009415407665073872,
0.06529393047094345,
-0.010149643756449223,
0.04903702065348625,
-7.53781757620709e-34,
-0.013094387948513031,
-0.05581237003207207,
0.0892946720123291,
-0.021274875849485397,
-0.04337182641029358,
-0.059945445507764816,
-0.06326126307249069,
-0.09554864466190338,
-0.05779063701629639,
0.06116202101111412,
-0.030232485383749008,
0.028694795444607735,
0.051292963325977325,
-0.003333170898258686,
-0.01995260640978813,
-0.00026902667013928294,
-0.011341409757733345,
0.017095480114221573,
0.012011904269456863,
0.008817397989332676,
-0.015137096866965294,
0.07899496704339981,
0.022485898807644844,
-0.047279439866542816,
0.005052333697676659,
-0.06017584353685379,
-0.04738355055451393,
0.11588363349437714,
0.02914131060242653,
-0.020354952663183212,
-0.058188121765851974,
-0.0042074089869856834,
0.0386510044336319,
-0.07053504884243011,
0.030222086235880852,
-0.033431194722652435,
-0.05036047101020813,
-0.02996145933866501,
0.04408514127135277,
0.052758775651454926,
0.011120442301034927,
-0.007140348665416241,
-0.022235378623008728,
-0.06200328841805458,
-0.001680936198681593,
0.0480203777551651,
-0.0574188157916069,
0.08016549050807953,
0.037730589509010315,
0.024896124377846718,
-0.009006003849208355,
0.03862917050719261,
0.02620730735361576,
0.07474532723426819,
0.08344253897666931,
0.030424082651734352,
-0.07004117220640182,
0.07251546531915665,
0.05500375106930733,
-0.08349428325891495,
0.01329346839338541,
-0.08059290051460266,
-0.00652301125228405,
-0.022831231355667114,
-0.06915389746427536,
-0.008231371641159058,
-0.0714322030544281,
-0.09807521104812622,
-0.07008691877126694,
0.06821248680353165,
-0.06552623957395554,
0.032780345529317856,
-0.033011626452207565,
0.016153555363416672,
-0.058228373527526855,
-0.01678973250091076,
0.01702452078461647,
-0.01305088959634304,
-0.0047797542065382,
-0.016898563131690025,
-0.07449835538864136,
0.08471870422363281,
-0.011808129027485847,
-0.007166240364313126,
0.05668459087610245,
0.00806556548923254,
0.007241361774504185,
-0.022983310744166374,
0.07164935022592545,
-0.003829831490293145,
0.035384491086006165,
0.048873599618673325,
0.06950510293245316,
-0.01962531916797161,
-0.05297601968050003,
-4.209420367828898e-8,
-0.013878139667212963,
-0.022399134933948517,
0.017444178462028503,
-0.021731359884142876,
0.08847687393426895,
-0.05412746220827103,
0.04518652334809303,
0.13290104269981384,
-0.0438377782702446,
-0.00019264101865701377,
0.04343093931674957,
-0.051429882645606995,
-0.02770005352795124,
-0.06167789176106453,
0.1135755181312561,
-0.02674754336476326,
0.0700756162405014,
-0.08235684037208557,
0.024038705974817276,
0.12257461249828339,
0.05392208322882652,
0.017759576439857483,
0.011510247364640236,
0.13421501219272614,
0.0018701249500736594,
-0.11456127464771271,
0.04837258160114288,
0.05362366512417793,
0.02044190652668476,
-0.007399319671094418,
0.03139191120862961,
0.044291168451309204,
0.009606425650417805,
0.03908322751522064,
-0.006015772465616465,
0.05443514138460159,
-0.028003184124827385,
0.14721545577049255,
-0.10262247174978256,
-0.05307357385754585,
0.07038924843072891,
-0.09673437476158142,
-0.04269319400191307,
0.036193691194057465,
-0.010172205045819283,
-0.02795381285250187,
-0.012223977595567703,
0.0066213421523571014,
0.04114372655749321,
0.03021780587732792,
-0.05979051813483238,
-0.028855202719569206,
-0.04337151721119881,
-0.07168957591056824,
-0.003478672821074724,
0.011615065857768059,
-0.059145089238882065,
-0.05586108937859535,
0.06613975763320923,
0.05112456530332565,
0.07588904350996017,
-0.06387299299240112,
0.06094500795006752,
-0.0028193192556500435
] |
1401.7743
|
Balaji T
|
T.Balaji and Dr.M.Sumathi
|
Effective Features of Remote Sensing Image Classification Using
Interactive Adaptive Thresholding Method
|
5 pages,International Conference on Intelligent Computing
Applications - ICICA 2014
| null | null | null |
cs.CV
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Remote sensing image classification can be performed in many different ways
to extract meaningful features. One common approach is to perform edge
detection. A second approach is to try and detect whole shapes, given the fact
that these shapes usually tend to have distinctive properties such as object
foreground or background. To get optimal results, these two approaches can be
combined. This paper adopts a combinatorial optimization method to adaptively
select threshold based features to improve remote sensing image. Feature
selection is an important combinatorial optimization problem in the remote
sensing image classification. The feature selection method has to achieve three
characteristics: first the performance issues by facilitating data collection
and reducing storage space and classification time, second to perform semantics
analysis helping to understand the problem, and third to improve prediction
accuracy by avoiding the curse of dimensionality. The goal of this thresholding
an image is to classify pixels as either dark or light and evaluation of
classification results. Interactive adaptive thresholding is a form of
thresholding that takes into account spatial variations in illumination of
remote sensing image. We present a technique for remote sensing based adaptive
thresholding using the interactive satellite image of the input. However, our
solution is more robust to illumination changes in the remote sensing image.
Additionally, our method is simple and easy to implement but it is effective
algorithm to classify the image pixels. This technique is suitable for
preprocessing the remote sensing image classification, making it a valuable
tool for interactive remote based applications such as augmented reality of the
classification procedure.
|
[
{
"created": "Thu, 30 Jan 2014 05:33:27 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Balaji",
"T.",
""
],
[
"Sumathi",
"Dr. M.",
""
]
] |
[
-0.0008043411653488874,
-0.07044608145952225,
0.04869074374437332,
0.04044999182224274,
0.09366419166326523,
-0.021566590294241905,
0.05625222995877266,
-0.03377522528171539,
0.037396423518657684,
0.04872323200106621,
-0.047707099467515945,
-0.05567094683647156,
0.030066676437854767,
0.04347334802150726,
0.09176159650087357,
-0.00279363919980824,
0.029453864321112633,
0.038203366100788116,
-0.05309935286641121,
-0.0693260058760643,
0.013144882395863533,
-0.04963109642267227,
-0.036000143736600876,
-0.04343270882964134,
0.00887160375714302,
-0.038631096482276917,
0.06921213865280151,
0.006801836658269167,
0.0030790003947913647,
0.04079684615135193,
0.00420310627669096,
0.020256321877241135,
0.04102808237075806,
0.019834447652101517,
-0.008836375549435616,
0.044279102236032486,
0.002406985266134143,
-0.027716027572751045,
0.02183946780860424,
0.024657471105456352,
-0.05959925428032875,
-0.07379991561174393,
-0.031064078211784363,
-0.046449705958366394,
-0.0199375469237566,
0.07567672431468964,
-0.04917258769273758,
-0.03145428001880646,
-0.00227744085714221,
-0.029922405257821083,
0.011343265883624554,
-0.01715659908950329,
-0.08999773859977722,
0.0043622273951768875,
-0.05599212273955345,
-0.04751395061612129,
0.031734999269247055,
-0.022124404087662697,
0.05398225784301758,
-0.047569818794727325,
-0.019387971609830856,
-0.031133558601140976,
0.09067326784133911,
-0.006134267896413803,
0.03594687953591347,
0.022127429023385048,
0.01983797363936901,
-0.10712804645299911,
0.0837664008140564,
-0.05904819071292877,
-0.029810162261128426,
0.11962821334600449,
0.021614789962768555,
-0.01287226565182209,
-0.13531215488910675,
-0.07571837306022644,
0.013399689458310604,
0.06552039086818695,
0.013156331144273281,
-0.04402356222271919,
0.02604461833834648,
0.06912582367658615,
-0.04496462643146515,
0.04838576912879944,
0.0655970498919487,
-0.015743404626846313,
-0.0038676466792821884,
0.012037714943289757,
0.012953384779393673,
0.09308771044015884,
0.013486753217875957,
-0.008620178326964378,
0.007319523487240076,
0.0681982934474945,
-0.10988382250070572,
-0.07686610519886017,
-0.02129908837378025,
-0.0759325921535492,
-0.016814881935715675,
0.029580825939774513,
-0.05328457057476044,
-0.12138450145721436,
-0.012878583744168282,
-0.03255131468176842,
0.09944771975278854,
0.01497842650860548,
0.019368281587958336,
-0.02537636086344719,
0.06880009919404984,
-0.03687731921672821,
0.021888261660933495,
0.013938753865659237,
-0.03219850733876228,
0.027982765808701515,
-0.09182529151439667,
0.059379126876592636,
0.047849442809820175,
0.02984384447336197,
0.011317144148051739,
0.020807458087801933,
0.08247784525156021,
-0.0447876863181591,
-0.026265937834978104,
-0.04526227340102196,
0.08105913549661636,
-0.017192551866173744,
-0.01711704395711422,
3.748980623190505e-33,
0.03949519246816635,
-0.011528347618877888,
-0.06359250098466873,
-0.10297989100217819,
-0.003928812686353922,
0.0534965880215168,
0.01732252724468708,
-0.0223898496478796,
-0.024265209212899208,
0.02554132044315338,
-0.022655963897705078,
-0.005468741990625858,
0.06464912742376328,
0.028696561232209206,
0.13168814778327942,
-0.016256706789135933,
-0.01862943358719349,
0.038889721035957336,
0.022160623222589493,
-0.017273137345910072,
-0.035179201513528824,
-0.057986240833997726,
0.0678032636642456,
0.060219526290893555,
-0.06625493615865707,
-0.023334413766860962,
-0.0027355756610631943,
-0.01642448827624321,
0.001404097187332809,
-0.005353881511837244,
0.05828942731022835,
0.01555026974529028,
0.036819636821746826,
0.1163344532251358,
-0.03575411066412926,
-0.06706111133098602,
-0.03856305778026581,
-0.01555932592600584,
0.06958690285682678,
0.04131244495511055,
-0.004950451198965311,
0.015959901735186577,
0.04328780993819237,
-0.018513036891818047,
-0.030857939273118973,
0.030724968761205673,
0.04496157914400101,
-0.013620228506624699,
-0.11255662888288498,
0.07349055260419846,
-0.004175364039838314,
0.007924661971628666,
-0.03868398815393448,
-0.06596076488494873,
0.0015545575879514217,
-0.07461179792881012,
0.02173852175474167,
0.03134991601109505,
0.008918756619095802,
-0.01081081759184599,
-0.0018479677382856607,
-0.04025194048881531,
0.007262786850333214,
-0.0013589069712907076,
0.04501255974173546,
-0.03863587602972984,
0.09232121706008911,
0.02414824813604355,
-0.04976150766015053,
-0.09228859841823578,
0.020052265375852585,
0.05993787199258804,
0.06005081906914711,
-0.014971424825489521,
-0.00084460194921121,
-0.008704588748514652,
0.10346965491771698,
0.00461119320243597,
-0.026246188208460808,
0.004720571916550398,
-0.07194766402244568,
0.08084210753440857,
0.028707755729556084,
-0.12231466174125671,
-0.04795467481017113,
0.031513627618551254,
0.08132156729698181,
0.015396665781736374,
-0.026229912415146828,
-0.04322272166609764,
-0.12002202123403549,
0.00869524385780096,
-0.039629362523555756,
-0.020792702212929726,
0.012112696655094624,
-2.6296927184237776e-33,
0.007736263796687126,
0.008579770103096962,
0.05041304603219032,
0.03327912092208862,
-0.020249543711543083,
-0.04936554282903671,
0.004354859236627817,
-0.034957583993673325,
-0.11106942594051361,
-0.026623176410794258,
-0.0035264769103378057,
0.029538605362176895,
-0.015334557741880417,
-0.01944860629737377,
-0.027971310541033745,
0.03878121078014374,
-0.05714981257915497,
-0.029802268370985985,
-0.07335082441568375,
0.07912139594554901,
-0.02639569528400898,
0.06435102969408035,
-0.07767993211746216,
0.03401493281126022,
-0.060656480491161346,
0.01568928174674511,
0.012569849379360676,
0.08837691694498062,
0.01723174937069416,
-0.03152535483241081,
-0.04089142382144928,
0.04434219375252724,
-0.047821953892707825,
-0.03930169343948364,
0.010360192507505417,
-0.03726867586374283,
0.06544932723045349,
-0.06548469513654709,
-0.05552469938993454,
0.09809388220310211,
0.00782239530235529,
-0.05035414174199104,
-0.012857218272984028,
-0.006724406965076923,
-0.08956977725028992,
-0.14345242083072662,
-0.00031374095124192536,
0.08779821544885635,
-0.0644257515668869,
-0.013142718002200127,
0.004034793004393578,
0.005131539423018694,
-0.04073408246040344,
0.08258064091205597,
0.03788159042596817,
0.0662604421377182,
-0.05225951597094536,
0.007827316410839558,
0.08898366242647171,
-0.004913389217108488,
0.02550974115729332,
-0.007848315872251987,
0.015368626452982426,
0.0898158997297287,
0.015010343864560127,
-0.021927163004875183,
0.01225225254893303,
0.0655156746506691,
-0.04657646641135216,
0.1240241602063179,
0.006448937579989433,
-0.03387199714779854,
0.0554659441113472,
-0.00035577485687099397,
-0.015055580995976925,
-0.03279324248433113,
-0.020603250712156296,
-0.006127777509391308,
0.024036765098571777,
-0.002560241846367717,
-0.02098737098276615,
-0.05388856306672096,
-0.0122506283223629,
0.07808639109134674,
0.04941440373659134,
0.10743054002523422,
-0.005614325869828463,
-0.029706096276640892,
0.07156268507242203,
-0.014238119125366211,
-0.0493822880089283,
-0.028061486780643463,
0.016368810087442398,
0.06480102241039276,
0.03823224455118179,
-4.449028878639183e-8,
0.000055740823881933466,
-0.09151135385036469,
-0.049643244594335556,
-0.04882552847266197,
0.047049056738615036,
-0.032792337238788605,
0.03522370383143425,
0.026727814227342606,
-0.012362947687506676,
-0.04368845745921135,
0.08863943070173264,
-0.05033986270427704,
-0.014723775908350945,
0.02436348795890808,
0.03210317716002464,
0.013572384603321552,
0.043723318725824356,
0.07431535422801971,
0.05796074867248535,
0.08384563773870468,
-0.03890756890177727,
-0.05995209887623787,
0.04283475875854492,
-0.060566697269678116,
0.07109872996807098,
0.01263486035168171,
0.02163097634911537,
0.020410265773534775,
0.08818834275007248,
-0.01781662553548813,
-0.013473556376993656,
0.023501630872488022,
0.0904528871178627,
-0.007568420376628637,
0.10104022175073624,
0.0189799927175045,
-0.0542292520403862,
-0.03444649651646614,
-0.13646453619003296,
0.006363356951624155,
0.08063628524541855,
0.013806220144033432,
-0.03852460905909538,
-0.0061574578285217285,
0.0117400037124753,
-0.025763368234038353,
0.12220274657011032,
-0.022153183817863464,
-0.026867659762501717,
0.032273102551698685,
0.0008582086302340031,
-0.022010724991559982,
-0.08873066306114197,
0.04961229860782623,
0.016881093382835388,
0.011072330176830292,
-0.038516219705343246,
-0.01461360789835453,
0.04062982276082039,
0.129308819770813,
-0.03530994802713394,
0.009794835932552814,
-0.12746961414813995,
-0.07150699198246002
] | null | null | null | null | null | null | null |
[
-0.0008043411653488874,
-0.07044608145952225,
0.04869074374437332,
0.04044999182224274,
0.09366419166326523,
-0.021566590294241905,
0.05625222995877266,
-0.03377522528171539,
0.037396423518657684,
0.04872323200106621,
-0.047707099467515945,
-0.05567094683647156,
0.030066676437854767,
0.04347334802150726,
0.09176159650087357,
-0.00279363919980824,
0.029453864321112633,
0.038203366100788116,
-0.05309935286641121,
-0.0693260058760643,
0.013144882395863533,
-0.04963109642267227,
-0.036000143736600876,
-0.04343270882964134,
0.00887160375714302,
-0.038631096482276917,
0.06921213865280151,
0.006801836658269167,
0.0030790003947913647,
0.04079684615135193,
0.00420310627669096,
0.020256321877241135,
0.04102808237075806,
0.019834447652101517,
-0.008836375549435616,
0.044279102236032486,
0.002406985266134143,
-0.027716027572751045,
0.02183946780860424,
0.024657471105456352,
-0.05959925428032875,
-0.07379991561174393,
-0.031064078211784363,
-0.046449705958366394,
-0.0199375469237566,
0.07567672431468964,
-0.04917258769273758,
-0.03145428001880646,
-0.00227744085714221,
-0.029922405257821083,
0.011343265883624554,
-0.01715659908950329,
-0.08999773859977722,
0.0043622273951768875,
-0.05599212273955345,
-0.04751395061612129,
0.031734999269247055,
-0.022124404087662697,
0.05398225784301758,
-0.047569818794727325,
-0.019387971609830856,
-0.031133558601140976,
0.09067326784133911,
-0.006134267896413803,
0.03594687953591347,
0.022127429023385048,
0.01983797363936901,
-0.10712804645299911,
0.0837664008140564,
-0.05904819071292877,
-0.029810162261128426,
0.11962821334600449,
0.021614789962768555,
-0.01287226565182209,
-0.13531215488910675,
-0.07571837306022644,
0.013399689458310604,
0.06552039086818695,
0.013156331144273281,
-0.04402356222271919,
0.02604461833834648,
0.06912582367658615,
-0.04496462643146515,
0.04838576912879944,
0.0655970498919487,
-0.015743404626846313,
-0.0038676466792821884,
0.012037714943289757,
0.012953384779393673,
0.09308771044015884,
0.013486753217875957,
-0.008620178326964378,
0.007319523487240076,
0.0681982934474945,
-0.10988382250070572,
-0.07686610519886017,
-0.02129908837378025,
-0.0759325921535492,
-0.016814881935715675,
0.029580825939774513,
-0.05328457057476044,
-0.12138450145721436,
-0.012878583744168282,
-0.03255131468176842,
0.09944771975278854,
0.01497842650860548,
0.019368281587958336,
-0.02537636086344719,
0.06880009919404984,
-0.03687731921672821,
0.021888261660933495,
0.013938753865659237,
-0.03219850733876228,
0.027982765808701515,
-0.09182529151439667,
0.059379126876592636,
0.047849442809820175,
0.02984384447336197,
0.011317144148051739,
0.020807458087801933,
0.08247784525156021,
-0.0447876863181591,
-0.026265937834978104,
-0.04526227340102196,
0.08105913549661636,
-0.017192551866173744,
-0.01711704395711422,
3.748980623190505e-33,
0.03949519246816635,
-0.011528347618877888,
-0.06359250098466873,
-0.10297989100217819,
-0.003928812686353922,
0.0534965880215168,
0.01732252724468708,
-0.0223898496478796,
-0.024265209212899208,
0.02554132044315338,
-0.022655963897705078,
-0.005468741990625858,
0.06464912742376328,
0.028696561232209206,
0.13168814778327942,
-0.016256706789135933,
-0.01862943358719349,
0.038889721035957336,
0.022160623222589493,
-0.017273137345910072,
-0.035179201513528824,
-0.057986240833997726,
0.0678032636642456,
0.060219526290893555,
-0.06625493615865707,
-0.023334413766860962,
-0.0027355756610631943,
-0.01642448827624321,
0.001404097187332809,
-0.005353881511837244,
0.05828942731022835,
0.01555026974529028,
0.036819636821746826,
0.1163344532251358,
-0.03575411066412926,
-0.06706111133098602,
-0.03856305778026581,
-0.01555932592600584,
0.06958690285682678,
0.04131244495511055,
-0.004950451198965311,
0.015959901735186577,
0.04328780993819237,
-0.018513036891818047,
-0.030857939273118973,
0.030724968761205673,
0.04496157914400101,
-0.013620228506624699,
-0.11255662888288498,
0.07349055260419846,
-0.004175364039838314,
0.007924661971628666,
-0.03868398815393448,
-0.06596076488494873,
0.0015545575879514217,
-0.07461179792881012,
0.02173852175474167,
0.03134991601109505,
0.008918756619095802,
-0.01081081759184599,
-0.0018479677382856607,
-0.04025194048881531,
0.007262786850333214,
-0.0013589069712907076,
0.04501255974173546,
-0.03863587602972984,
0.09232121706008911,
0.02414824813604355,
-0.04976150766015053,
-0.09228859841823578,
0.020052265375852585,
0.05993787199258804,
0.06005081906914711,
-0.014971424825489521,
-0.00084460194921121,
-0.008704588748514652,
0.10346965491771698,
0.00461119320243597,
-0.026246188208460808,
0.004720571916550398,
-0.07194766402244568,
0.08084210753440857,
0.028707755729556084,
-0.12231466174125671,
-0.04795467481017113,
0.031513627618551254,
0.08132156729698181,
0.015396665781736374,
-0.026229912415146828,
-0.04322272166609764,
-0.12002202123403549,
0.00869524385780096,
-0.039629362523555756,
-0.020792702212929726,
0.012112696655094624,
-2.6296927184237776e-33,
0.007736263796687126,
0.008579770103096962,
0.05041304603219032,
0.03327912092208862,
-0.020249543711543083,
-0.04936554282903671,
0.004354859236627817,
-0.034957583993673325,
-0.11106942594051361,
-0.026623176410794258,
-0.0035264769103378057,
0.029538605362176895,
-0.015334557741880417,
-0.01944860629737377,
-0.027971310541033745,
0.03878121078014374,
-0.05714981257915497,
-0.029802268370985985,
-0.07335082441568375,
0.07912139594554901,
-0.02639569528400898,
0.06435102969408035,
-0.07767993211746216,
0.03401493281126022,
-0.060656480491161346,
0.01568928174674511,
0.012569849379360676,
0.08837691694498062,
0.01723174937069416,
-0.03152535483241081,
-0.04089142382144928,
0.04434219375252724,
-0.047821953892707825,
-0.03930169343948364,
0.010360192507505417,
-0.03726867586374283,
0.06544932723045349,
-0.06548469513654709,
-0.05552469938993454,
0.09809388220310211,
0.00782239530235529,
-0.05035414174199104,
-0.012857218272984028,
-0.006724406965076923,
-0.08956977725028992,
-0.14345242083072662,
-0.00031374095124192536,
0.08779821544885635,
-0.0644257515668869,
-0.013142718002200127,
0.004034793004393578,
0.005131539423018694,
-0.04073408246040344,
0.08258064091205597,
0.03788159042596817,
0.0662604421377182,
-0.05225951597094536,
0.007827316410839558,
0.08898366242647171,
-0.004913389217108488,
0.02550974115729332,
-0.007848315872251987,
0.015368626452982426,
0.0898158997297287,
0.015010343864560127,
-0.021927163004875183,
0.01225225254893303,
0.0655156746506691,
-0.04657646641135216,
0.1240241602063179,
0.006448937579989433,
-0.03387199714779854,
0.0554659441113472,
-0.00035577485687099397,
-0.015055580995976925,
-0.03279324248433113,
-0.020603250712156296,
-0.006127777509391308,
0.024036765098571777,
-0.002560241846367717,
-0.02098737098276615,
-0.05388856306672096,
-0.0122506283223629,
0.07808639109134674,
0.04941440373659134,
0.10743054002523422,
-0.005614325869828463,
-0.029706096276640892,
0.07156268507242203,
-0.014238119125366211,
-0.0493822880089283,
-0.028061486780643463,
0.016368810087442398,
0.06480102241039276,
0.03823224455118179,
-4.449028878639183e-8,
0.000055740823881933466,
-0.09151135385036469,
-0.049643244594335556,
-0.04882552847266197,
0.047049056738615036,
-0.032792337238788605,
0.03522370383143425,
0.026727814227342606,
-0.012362947687506676,
-0.04368845745921135,
0.08863943070173264,
-0.05033986270427704,
-0.014723775908350945,
0.02436348795890808,
0.03210317716002464,
0.013572384603321552,
0.043723318725824356,
0.07431535422801971,
0.05796074867248535,
0.08384563773870468,
-0.03890756890177727,
-0.05995209887623787,
0.04283475875854492,
-0.060566697269678116,
0.07109872996807098,
0.01263486035168171,
0.02163097634911537,
0.020410265773534775,
0.08818834275007248,
-0.01781662553548813,
-0.013473556376993656,
0.023501630872488022,
0.0904528871178627,
-0.007568420376628637,
0.10104022175073624,
0.0189799927175045,
-0.0542292520403862,
-0.03444649651646614,
-0.13646453619003296,
0.006363356951624155,
0.08063628524541855,
0.013806220144033432,
-0.03852460905909538,
-0.0061574578285217285,
0.0117400037124753,
-0.025763368234038353,
0.12220274657011032,
-0.022153183817863464,
-0.026867659762501717,
0.032273102551698685,
0.0008582086302340031,
-0.022010724991559982,
-0.08873066306114197,
0.04961229860782623,
0.016881093382835388,
0.011072330176830292,
-0.038516219705343246,
-0.01461360789835453,
0.04062982276082039,
0.129308819770813,
-0.03530994802713394,
0.009794835932552814,
-0.12746961414813995,
-0.07150699198246002
] |
1401.7745
|
Ian Petersen
|
Ian R. Petersen and Alexander Lanzon
|
Feedback Control of Negative-Imaginary Systems: Large Flexible
structures with colocated actuators and sensors
| null |
Control Systems Magazine, vol. 30, no. 5, pp. 54 - 72, 2010
| null | null |
cs.SY math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents a survey of recent results on the theory of negative
imaginary systems. This theory can be applied to the robust control of large
flexible structures with colocated force actuators and position sensors.
|
[
{
"created": "Thu, 30 Jan 2014 05:40:41 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Petersen",
"Ian R.",
""
],
[
"Lanzon",
"Alexander",
""
]
] |
[
-0.07797032594680786,
0.009550283662974834,
-0.08264295756816864,
0.02043415978550911,
-0.025748122483491898,
-0.01594756357371807,
0.027298573404550552,
0.09275553375482559,
0.002794550498947501,
0.049683112651109695,
0.16167275607585907,
0.04048466682434082,
0.03870820626616478,
0.03609486669301987,
-0.06581201404333115,
-0.014923321083188057,
0.026773566380143166,
-0.016286641359329224,
-0.010439182631671429,
0.09244975447654724,
0.006961825769394636,
-0.004799116402864456,
-0.010999472811818123,
-0.07818993180990219,
-0.07910053431987762,
0.034193042665719986,
-0.09226778149604797,
-0.004631193820387125,
-0.01601572521030903,
-0.10330944508314133,
-0.04364035278558731,
-0.05142741650342941,
0.0013594654155895114,
-0.0762399286031723,
0.029354296624660492,
0.03909378871321678,
0.07220032811164856,
0.0057119387201964855,
0.037423133850097656,
0.0075250305235385895,
-0.011743491515517235,
0.04180608689785004,
0.0608244389295578,
-0.06204238906502724,
0.06477303802967072,
0.09211474657058716,
0.009666219353675842,
-0.0023512965999543667,
0.039370883256196976,
-0.013620896264910698,
0.015797223895788193,
0.06708109378814697,
0.1372593343257904,
-0.004789683967828751,
0.03617914766073227,
-0.018068822100758553,
-0.01719830371439457,
0.05164802819490433,
-0.04100789502263069,
-0.015269012190401554,
0.14555375277996063,
-0.051541391760110855,
0.04421243071556091,
-0.05005459859967232,
-0.04181480407714844,
0.08010438829660416,
-0.05379122123122215,
0.029469560831785202,
-0.053968001157045364,
-0.009204739704728127,
-0.0032762077171355486,
-0.024668799713253975,
-0.01751885563135147,
-0.05707671493291855,
0.073589988052845,
0.03487033024430275,
-0.09149856865406036,
0.0689423531293869,
-0.0011318180477246642,
0.12621718645095825,
0.06748737394809723,
-0.07413525879383087,
-0.04653110355138779,
0.013027933426201344,
-0.02389608323574066,
-0.0508202500641346,
-0.02322743646800518,
-0.024302922189235687,
0.10289279371500015,
0.038369134068489075,
0.010921354405581951,
-0.03699493035674095,
0.024795379489660263,
-0.02916470356285572,
0.008464883081614971,
-0.05591390281915665,
-0.0013087986735627055,
0.09037838876247406,
-0.040745384991168976,
0.02857484482228756,
0.035110630095005035,
-0.011526454240083694,
0.02023204229772091,
0.06441784650087357,
0.023272767663002014,
0.01303702313452959,
-0.05256011709570885,
-0.06448687613010406,
0.02954093925654888,
0.023012299090623856,
-0.04929850995540619,
-0.07731199264526367,
-0.04412224516272545,
-0.008535713888704777,
0.02100951224565506,
-0.0528869554400444,
0.036537449806928635,
0.04910983890295029,
0.01262704562395811,
-0.06999685615301132,
-0.026241077110171318,
0.0277874693274498,
-0.041204191744327545,
0.00978313572704792,
0.12958726286888123,
0.06230827048420906,
-0.0824422538280487,
-1.93902605348135e-33,
-0.09340193122625351,
0.0685180127620697,
0.03232194110751152,
-0.044651005417108536,
0.030049679800868034,
-0.12348546832799911,
-0.02779550850391388,
0.04876529052853584,
-0.03482891619205475,
-0.002496015978977084,
0.03265392780303955,
0.018619384616613388,
-0.015861837193369865,
-0.042024001479148865,
0.03645576909184456,
-0.028594449162483215,
0.05445948615670204,
-0.11693137884140015,
0.00016618703375570476,
0.0036069650668650866,
0.08861987292766571,
-0.005692221689969301,
-0.02463817223906517,
-0.08298363536596298,
-0.0024972737301141024,
-0.06005195900797844,
-0.0023820127826184034,
0.07674187421798706,
-0.06158410757780075,
-0.05733714997768402,
-0.01684860698878765,
0.03139506280422211,
-0.002201006282120943,
0.022052345797419548,
0.03318629041314125,
0.016589567065238953,
-0.04270618036389351,
-0.03130628541111946,
-0.02656049281358719,
0.04183869808912277,
-0.021553387865424156,
0.039920955896377563,
0.015069706365466118,
-0.011641922406852245,
0.048069871962070465,
0.0753762274980545,
0.04488300904631615,
0.03892138600349426,
-0.06564639508724213,
-0.04372906684875488,
-0.07675892859697342,
0.02830556221306324,
-0.09339400380849838,
-0.0017889407463371754,
0.05026957020163536,
-0.07603651285171509,
-0.06698599457740784,
0.04851138964295387,
-0.02925731986761093,
0.03671026974916458,
-0.06581384688615799,
-0.12067069858312607,
0.02499411068856716,
-0.0639338418841362,
0.04186161607503891,
0.05072586610913277,
-0.06431183218955994,
0.028176436200737953,
0.04957158491015434,
0.006444704718887806,
-0.006943872198462486,
-0.029364436864852905,
-0.011113191023468971,
0.009222670458257198,
0.0033028877805918455,
0.024498796090483665,
-0.0055630141869187355,
-0.05016632750630379,
-0.06694337725639343,
0.0087742256000638,
-0.006243275478482246,
0.0149099575355649,
0.033239804208278656,
0.05912856012582779,
-0.0006908749928697944,
-0.07548673450946808,
-0.012350857257843018,
-0.02195529080927372,
-0.026043741032481194,
-0.06708918511867523,
-0.04400573670864105,
-0.014163156971335411,
-0.016034835949540138,
0.0331912562251091,
0.017914308235049248,
-2.465052979647608e-34,
0.03688417747616768,
-0.033046673983335495,
0.007173062302172184,
-0.0399317666888237,
-0.06590171903371811,
0.005266989581286907,
0.0012288192519918084,
0.031627170741558075,
-0.03245484456419945,
0.006005583330988884,
-0.01619752123951912,
0.016390539705753326,
-0.000845185189973563,
0.06664950400590897,
-0.041747890412807465,
0.0838431790471077,
0.004663708619773388,
-0.07499861717224121,
0.03596074879169464,
-0.005282427649945021,
-0.0312928631901741,
0.0385756753385067,
0.0270057525485754,
-0.0008001048117876053,
0.06882644444704056,
0.05242958664894104,
-0.023793846368789673,
0.014292644336819649,
-0.041631560772657394,
0.04187961667776108,
-0.06735696643590927,
0.0009226234978996217,
0.024906549602746964,
0.10154305398464203,
0.001954809296876192,
-0.020195970311760902,
-0.09760498255491257,
0.009701396338641644,
0.09079109877347946,
-0.04728514328598976,
-0.06745442748069763,
0.08542432636022568,
0.05484091117978096,
0.07232833653688431,
0.05106908455491066,
-0.003429441014304757,
0.008648530580103397,
0.07149523496627808,
-0.08218158036470413,
-0.055967312306165695,
-0.09649147093296051,
-0.04238767921924591,
-0.022447872906923294,
-0.04670734331011772,
0.04073580726981163,
0.018519576638936996,
-0.004336947575211525,
-0.03144228458404541,
0.0009600341436453164,
0.057724129408597946,
-0.09283985197544098,
-0.005385931581258774,
-0.06629224866628647,
-0.04781902953982353,
-0.038671329617500305,
0.10126638412475586,
0.049502771347761154,
-0.0494934543967247,
0.05471870303153992,
-0.09609703719615936,
0.12246629595756531,
0.04939071834087372,
0.07546821981668472,
0.019977280870079994,
-0.002957165939733386,
-0.03822464123368263,
0.030995409935712814,
0.006106206681579351,
0.002433621557429433,
-0.005121262278407812,
-0.01659134402871132,
-0.033368196338415146,
-0.021267730742692947,
-0.05719371140003204,
-0.044820476323366165,
0.03644275292754173,
-0.041513592004776,
0.0819411501288414,
0.024667631834745407,
0.08040574193000793,
0.0705290362238884,
0.09033825248479843,
0.09227027744054794,
0.005889709573239088,
0.056492291390895844,
-3.003077253538322e-8,
-0.01415232289582491,
0.014316311106085777,
0.020031388849020004,
-0.04115147888660431,
-0.01966889575123787,
0.06032463163137436,
-0.00031369965290650725,
-0.12749134004116058,
0.0016984548419713974,
0.010831204243004322,
-0.010741465725004673,
-0.06550222635269165,
-0.04645445942878723,
-0.04538069665431976,
-0.027394326403737068,
0.08715949207544327,
-0.0014096334343776107,
0.04091056063771248,
-0.003402956761419773,
0.03728901594877243,
0.048459868878126144,
-0.04678900167346001,
-0.015519857406616211,
0.07776854187250137,
0.02951813116669655,
-0.07645287364721298,
-0.1030564159154892,
-0.06615347415208817,
0.014091971330344677,
0.05494922772049904,
-0.021969536319375038,
0.01406734436750412,
0.021772082895040512,
0.08231887221336365,
0.0056229461915791035,
-0.04464132711291313,
-0.02741619572043419,
-0.07537131011486053,
-0.011271316558122635,
-0.07358311861753464,
0.030707398429512978,
0.05206786096096039,
-0.03388144448399544,
-0.04165846109390259,
0.02600865438580513,
0.07576492428779602,
-0.01930428296327591,
-0.04057265445590019,
0.03235623612999916,
0.0537530742585659,
-0.0027674981392920017,
0.05213760957121849,
0.03215558081865311,
0.09566155821084976,
0.008840744383633137,
0.05595967546105385,
0.04630713537335396,
-0.06443947553634644,
-0.06778112053871155,
0.01667577214539051,
-0.027181122452020645,
-0.03973992541432381,
-0.017517831176519394,
0.004171349573880434
] | null | null | null | null | null | null | null |
[
-0.07797032594680786,
0.009550283662974834,
-0.08264295756816864,
0.02043415978550911,
-0.025748122483491898,
-0.01594756357371807,
0.027298573404550552,
0.09275553375482559,
0.002794550498947501,
0.049683112651109695,
0.16167275607585907,
0.04048466682434082,
0.03870820626616478,
0.03609486669301987,
-0.06581201404333115,
-0.014923321083188057,
0.026773566380143166,
-0.016286641359329224,
-0.010439182631671429,
0.09244975447654724,
0.006961825769394636,
-0.004799116402864456,
-0.010999472811818123,
-0.07818993180990219,
-0.07910053431987762,
0.034193042665719986,
-0.09226778149604797,
-0.004631193820387125,
-0.01601572521030903,
-0.10330944508314133,
-0.04364035278558731,
-0.05142741650342941,
0.0013594654155895114,
-0.0762399286031723,
0.029354296624660492,
0.03909378871321678,
0.07220032811164856,
0.0057119387201964855,
0.037423133850097656,
0.0075250305235385895,
-0.011743491515517235,
0.04180608689785004,
0.0608244389295578,
-0.06204238906502724,
0.06477303802967072,
0.09211474657058716,
0.009666219353675842,
-0.0023512965999543667,
0.039370883256196976,
-0.013620896264910698,
0.015797223895788193,
0.06708109378814697,
0.1372593343257904,
-0.004789683967828751,
0.03617914766073227,
-0.018068822100758553,
-0.01719830371439457,
0.05164802819490433,
-0.04100789502263069,
-0.015269012190401554,
0.14555375277996063,
-0.051541391760110855,
0.04421243071556091,
-0.05005459859967232,
-0.04181480407714844,
0.08010438829660416,
-0.05379122123122215,
0.029469560831785202,
-0.053968001157045364,
-0.009204739704728127,
-0.0032762077171355486,
-0.024668799713253975,
-0.01751885563135147,
-0.05707671493291855,
0.073589988052845,
0.03487033024430275,
-0.09149856865406036,
0.0689423531293869,
-0.0011318180477246642,
0.12621718645095825,
0.06748737394809723,
-0.07413525879383087,
-0.04653110355138779,
0.013027933426201344,
-0.02389608323574066,
-0.0508202500641346,
-0.02322743646800518,
-0.024302922189235687,
0.10289279371500015,
0.038369134068489075,
0.010921354405581951,
-0.03699493035674095,
0.024795379489660263,
-0.02916470356285572,
0.008464883081614971,
-0.05591390281915665,
-0.0013087986735627055,
0.09037838876247406,
-0.040745384991168976,
0.02857484482228756,
0.035110630095005035,
-0.011526454240083694,
0.02023204229772091,
0.06441784650087357,
0.023272767663002014,
0.01303702313452959,
-0.05256011709570885,
-0.06448687613010406,
0.02954093925654888,
0.023012299090623856,
-0.04929850995540619,
-0.07731199264526367,
-0.04412224516272545,
-0.008535713888704777,
0.02100951224565506,
-0.0528869554400444,
0.036537449806928635,
0.04910983890295029,
0.01262704562395811,
-0.06999685615301132,
-0.026241077110171318,
0.0277874693274498,
-0.041204191744327545,
0.00978313572704792,
0.12958726286888123,
0.06230827048420906,
-0.0824422538280487,
-1.93902605348135e-33,
-0.09340193122625351,
0.0685180127620697,
0.03232194110751152,
-0.044651005417108536,
0.030049679800868034,
-0.12348546832799911,
-0.02779550850391388,
0.04876529052853584,
-0.03482891619205475,
-0.002496015978977084,
0.03265392780303955,
0.018619384616613388,
-0.015861837193369865,
-0.042024001479148865,
0.03645576909184456,
-0.028594449162483215,
0.05445948615670204,
-0.11693137884140015,
0.00016618703375570476,
0.0036069650668650866,
0.08861987292766571,
-0.005692221689969301,
-0.02463817223906517,
-0.08298363536596298,
-0.0024972737301141024,
-0.06005195900797844,
-0.0023820127826184034,
0.07674187421798706,
-0.06158410757780075,
-0.05733714997768402,
-0.01684860698878765,
0.03139506280422211,
-0.002201006282120943,
0.022052345797419548,
0.03318629041314125,
0.016589567065238953,
-0.04270618036389351,
-0.03130628541111946,
-0.02656049281358719,
0.04183869808912277,
-0.021553387865424156,
0.039920955896377563,
0.015069706365466118,
-0.011641922406852245,
0.048069871962070465,
0.0753762274980545,
0.04488300904631615,
0.03892138600349426,
-0.06564639508724213,
-0.04372906684875488,
-0.07675892859697342,
0.02830556221306324,
-0.09339400380849838,
-0.0017889407463371754,
0.05026957020163536,
-0.07603651285171509,
-0.06698599457740784,
0.04851138964295387,
-0.02925731986761093,
0.03671026974916458,
-0.06581384688615799,
-0.12067069858312607,
0.02499411068856716,
-0.0639338418841362,
0.04186161607503891,
0.05072586610913277,
-0.06431183218955994,
0.028176436200737953,
0.04957158491015434,
0.006444704718887806,
-0.006943872198462486,
-0.029364436864852905,
-0.011113191023468971,
0.009222670458257198,
0.0033028877805918455,
0.024498796090483665,
-0.0055630141869187355,
-0.05016632750630379,
-0.06694337725639343,
0.0087742256000638,
-0.006243275478482246,
0.0149099575355649,
0.033239804208278656,
0.05912856012582779,
-0.0006908749928697944,
-0.07548673450946808,
-0.012350857257843018,
-0.02195529080927372,
-0.026043741032481194,
-0.06708918511867523,
-0.04400573670864105,
-0.014163156971335411,
-0.016034835949540138,
0.0331912562251091,
0.017914308235049248,
-2.465052979647608e-34,
0.03688417747616768,
-0.033046673983335495,
0.007173062302172184,
-0.0399317666888237,
-0.06590171903371811,
0.005266989581286907,
0.0012288192519918084,
0.031627170741558075,
-0.03245484456419945,
0.006005583330988884,
-0.01619752123951912,
0.016390539705753326,
-0.000845185189973563,
0.06664950400590897,
-0.041747890412807465,
0.0838431790471077,
0.004663708619773388,
-0.07499861717224121,
0.03596074879169464,
-0.005282427649945021,
-0.0312928631901741,
0.0385756753385067,
0.0270057525485754,
-0.0008001048117876053,
0.06882644444704056,
0.05242958664894104,
-0.023793846368789673,
0.014292644336819649,
-0.041631560772657394,
0.04187961667776108,
-0.06735696643590927,
0.0009226234978996217,
0.024906549602746964,
0.10154305398464203,
0.001954809296876192,
-0.020195970311760902,
-0.09760498255491257,
0.009701396338641644,
0.09079109877347946,
-0.04728514328598976,
-0.06745442748069763,
0.08542432636022568,
0.05484091117978096,
0.07232833653688431,
0.05106908455491066,
-0.003429441014304757,
0.008648530580103397,
0.07149523496627808,
-0.08218158036470413,
-0.055967312306165695,
-0.09649147093296051,
-0.04238767921924591,
-0.022447872906923294,
-0.04670734331011772,
0.04073580726981163,
0.018519576638936996,
-0.004336947575211525,
-0.03144228458404541,
0.0009600341436453164,
0.057724129408597946,
-0.09283985197544098,
-0.005385931581258774,
-0.06629224866628647,
-0.04781902953982353,
-0.038671329617500305,
0.10126638412475586,
0.049502771347761154,
-0.0494934543967247,
0.05471870303153992,
-0.09609703719615936,
0.12246629595756531,
0.04939071834087372,
0.07546821981668472,
0.019977280870079994,
-0.002957165939733386,
-0.03822464123368263,
0.030995409935712814,
0.006106206681579351,
0.002433621557429433,
-0.005121262278407812,
-0.01659134402871132,
-0.033368196338415146,
-0.021267730742692947,
-0.05719371140003204,
-0.044820476323366165,
0.03644275292754173,
-0.041513592004776,
0.0819411501288414,
0.024667631834745407,
0.08040574193000793,
0.0705290362238884,
0.09033825248479843,
0.09227027744054794,
0.005889709573239088,
0.056492291390895844,
-3.003077253538322e-8,
-0.01415232289582491,
0.014316311106085777,
0.020031388849020004,
-0.04115147888660431,
-0.01966889575123787,
0.06032463163137436,
-0.00031369965290650725,
-0.12749134004116058,
0.0016984548419713974,
0.010831204243004322,
-0.010741465725004673,
-0.06550222635269165,
-0.04645445942878723,
-0.04538069665431976,
-0.027394326403737068,
0.08715949207544327,
-0.0014096334343776107,
0.04091056063771248,
-0.003402956761419773,
0.03728901594877243,
0.048459868878126144,
-0.04678900167346001,
-0.015519857406616211,
0.07776854187250137,
0.02951813116669655,
-0.07645287364721298,
-0.1030564159154892,
-0.06615347415208817,
0.014091971330344677,
0.05494922772049904,
-0.021969536319375038,
0.01406734436750412,
0.021772082895040512,
0.08231887221336365,
0.0056229461915791035,
-0.04464132711291313,
-0.02741619572043419,
-0.07537131011486053,
-0.011271316558122635,
-0.07358311861753464,
0.030707398429512978,
0.05206786096096039,
-0.03388144448399544,
-0.04165846109390259,
0.02600865438580513,
0.07576492428779602,
-0.01930428296327591,
-0.04057265445590019,
0.03235623612999916,
0.0537530742585659,
-0.0027674981392920017,
0.05213760957121849,
0.03215558081865311,
0.09566155821084976,
0.008840744383633137,
0.05595967546105385,
0.04630713537335396,
-0.06443947553634644,
-0.06778112053871155,
0.01667577214539051,
-0.027181122452020645,
-0.03973992541432381,
-0.017517831176519394,
0.004171349573880434
] |
1401.7747
|
Alexander Romanenko
|
A. Romanenko, A. Grassellino, O. Melnychuk, D. A. Sergatskov
|
Dependence of the residual surface resistance of superconducting RF
cavities on the cooling dynamics around $T_\mathrm{c}$
| null | null |
10.1063/1.4875655
| null |
physics.acc-ph cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report a strong effect of the cooling dynamics through $T_\mathrm{c}$ on
the amount of trapped external magnetic flux in superconducting niobium
cavities. The effect is similar for fine grain and single crystal niobium and
all surface treatments including electropolishing with and without 120$^\circ$C
baking and nitrogen doping. Direct magnetic field measurements on the cavity
walls show that the effect stems from changes in the flux trapping efficiency:
slow cooling leads to almost complete flux trapping and higher residual
resistance while fast cooling leads to the much more efficient flux expulsion
and lower residual resistance.
|
[
{
"created": "Thu, 30 Jan 2014 05:44:32 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Feb 2014 22:29:39 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 2014 22:18:01 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Romanenko",
"A.",
""
],
[
"Grassellino",
"A.",
""
],
[
"Melnychuk",
"O.",
""
],
[
"Sergatskov",
"D. A.",
""
]
] |
[
0.0014079472748562694,
0.005310328211635351,
0.005309099797159433,
0.04399055987596512,
-0.04526403173804283,
-0.029805893078446388,
-0.04966578260064125,
-0.02094135247170925,
-0.0674273818731308,
-0.03799238055944443,
-0.08934101462364197,
-0.11106067150831223,
0.05645722523331642,
-0.048723384737968445,
0.012001107446849346,
-0.041781503707170486,
0.13302503526210785,
-0.037814512848854065,
0.027567880228161812,
-0.035335879772901535,
-0.05668167024850845,
-0.06228739395737648,
-0.0049649570137262344,
-0.06452612578868866,
-0.052244458347558975,
0.02793942391872406,
-0.018630925565958023,
-0.08728278428316116,
-0.012003467418253422,
-0.03697062283754349,
-0.055711887776851654,
0.016137633472681046,
-0.1304507553577423,
-0.019885094836354256,
0.04835433140397072,
-0.0551580972969532,
-0.07609036564826965,
0.03493957594037056,
-0.03646908700466156,
-0.0705510750412941,
0.009185761213302612,
0.05052367225289345,
0.0656055435538292,
0.07654217630624771,
0.047068674117326736,
0.04541156440973282,
0.044736191630363464,
-0.0015009433263912797,
-0.009680944494903088,
-0.07150878012180328,
-0.015912596136331558,
-0.01210526842623949,
0.035507433116436005,
0.1544596254825592,
0.04991142079234123,
0.07779313623905182,
-0.0462443009018898,
-0.06168109551072121,
-0.030549127608537674,
0.022670362144708633,
0.02058783918619156,
0.019457777962088585,
0.028215670958161354,
-0.05458800494670868,
0.059487588703632355,
0.022521980106830597,
-0.07979220151901245,
0.02557472325861454,
-0.06169959902763367,
0.04073436185717583,
0.026772694662213326,
-0.027251072227954865,
0.00809551402926445,
-0.014779241755604744,
0.08145825564861298,
0.006244834512472153,
0.00044179757242091,
-0.02059311233460903,
0.04402897134423256,
-0.05469728261232376,
-0.017482437193393707,
-0.0054671368561685085,
-0.042791999876499176,
-0.0415332168340683,
-0.06675156950950623,
-0.06671887636184692,
0.12121297419071198,
-0.0626986026763916,
0.028651148080825806,
-0.017819294705986977,
0.096134252846241,
-0.0028139993082731962,
-0.0261553768068552,
-0.03165055066347122,
-0.08182325214147568,
-0.03144879639148712,
-0.06308424472808838,
0.07766228169202805,
-0.0326664112508297,
-0.05816389247775078,
0.08486142009496689,
-0.015492904931306839,
0.016784094274044037,
0.060689982026815414,
-0.06753792613744736,
0.07520446181297302,
0.12781432271003723,
0.01975635625422001,
-0.00820375606417656,
0.0732785239815712,
0.01647024042904377,
0.07449023425579071,
-0.06328202039003372,
-0.0454549714922905,
0.007111136801540852,
-0.024464718997478485,
0.0181806031614542,
0.0596797801554203,
-0.012502509169280529,
0.03536658734083176,
-0.008663182146847248,
0.1242862194776535,
0.0271234642714262,
-0.004316721577197313,
-0.022638684138655663,
-0.010079655796289444,
-0.0676945298910141,
3.546473803270534e-33,
0.055411603301763535,
-0.0805625319480896,
-0.0356733575463295,
-0.01639966294169426,
0.003806646913290024,
-0.05817985162138939,
0.044589586555957794,
0.014063809998333454,
0.05026179552078247,
0.05804029852151871,
0.02771458402276039,
-0.011964996345341206,
-0.019291412085294724,
-0.013180894777178764,
-0.025519687682390213,
0.016928309574723244,
-0.08134642243385315,
-0.06489329040050507,
-0.044213615357875824,
0.04577486962080002,
0.012499721720814705,
0.045996349304914474,
-0.06309299170970917,
0.0903853327035904,
0.006238230504095554,
-0.016261491924524307,
-0.015424319542944431,
0.0032594618387520313,
-0.06065917760133743,
0.02288666181266308,
0.019256576895713806,
-0.02528005838394165,
-0.010843374766409397,
0.06975981593132019,
0.07593391835689545,
-0.01656288467347622,
0.06121175363659859,
0.05202021822333336,
0.0013766110641881824,
-0.0028119853232055902,
-0.04420381039381027,
0.017203399911522865,
-0.005875361617654562,
0.0390956848859787,
-0.014294467866420746,
-0.04719206690788269,
0.050449397414922714,
0.061742257326841354,
0.039850033819675446,
-0.009655053727328777,
0.08708247542381287,
-0.07583899796009064,
-0.038443099707365036,
0.07247260957956314,
0.08208494633436203,
-0.0001900961942737922,
0.01712927408516407,
0.008627783507108688,
0.03582358360290527,
-0.1043359711766243,
-0.012438604608178139,
-0.010259048081934452,
-0.01342868898063898,
0.02384604886174202,
-0.07743504643440247,
0.04810303822159767,
0.014799604192376137,
0.045850515365600586,
-0.02764960378408432,
-0.029148941859602928,
-0.06505915522575378,
0.03920119255781174,
0.00291185500100255,
-0.027785973623394966,
-0.054166343063116074,
-0.02970944158732891,
0.04316527768969536,
-0.03296419233083725,
0.022546865046024323,
-0.0024175525177270174,
0.07792532444000244,
-0.017527034506201744,
-0.00048149540089070797,
-0.058243684470653534,
0.008995876647531986,
0.022554468363523483,
0.02050022967159748,
-0.009654218330979347,
-0.0031969896517693996,
-0.07120735943317413,
0.11931323260068893,
0.011784975416958332,
0.021428260952234268,
-0.0632791519165039,
-0.0677662044763565,
-4.052251186204947e-33,
0.06055775284767151,
-0.09146753698587418,
0.05432826280593872,
0.015361625701189041,
0.03613680228590965,
0.0059378789737820625,
0.001485145534388721,
-0.01917346566915512,
0.015940243378281593,
-0.08546613156795502,
-0.015792841091752052,
0.022291753441095352,
0.09627487510442734,
-0.02083151414990425,
0.053617291152477264,
-0.07063139975070953,
0.013837235979735851,
-0.022705402225255966,
0.01592402346432209,
-0.04744128882884979,
-0.04875974357128143,
0.005513510201126337,
-0.016403287649154663,
-0.1036253422498703,
-0.008937161415815353,
0.02082277461886406,
-0.033522117882966995,
0.08871486037969589,
0.0322028212249279,
0.025904567912220955,
-0.009418304078280926,
0.03853701800107956,
-0.027895547449588776,
0.020129408687353134,
0.012774476781487465,
-0.04684042930603027,
0.024516813457012177,
-0.06163997948169708,
-0.017652060836553574,
-0.09327753633260727,
-0.009799554944038391,
0.013809907250106335,
0.007467486429959536,
0.11488980799913406,
-0.0711163580417633,
0.0499788299202919,
-0.13313370943069458,
-0.06174803897738457,
0.037908539175987244,
0.06706234067678452,
0.04033518210053444,
-0.09406302124261856,
-0.0399525910615921,
-0.013562577776610851,
-0.057304855436086655,
-0.002155466703698039,
0.027306601405143738,
0.07607401907444,
0.01754188910126686,
0.04185088723897934,
0.0610748752951622,
-0.023065978661179543,
0.04554084688425064,
-0.042861729860305786,
0.008496107533574104,
0.0367409847676754,
-0.020269857719540596,
0.07484561949968338,
0.06300713121891022,
-0.015186862088739872,
0.06965160369873047,
0.06516402959823608,
-0.04410494118928909,
-0.031679220497608185,
-0.021465854719281197,
0.09607468545436859,
0.10808300971984863,
-0.03410819172859192,
0.010561496019363403,
0.07217525690793991,
-0.03846689313650131,
0.07591760903596878,
-0.02516607567667961,
-0.04542761668562889,
0.07353329658508301,
-0.04906252771615982,
-0.053192537277936935,
0.008226417005062103,
-0.03387755528092384,
0.02876419387757778,
-0.0464848130941391,
-0.062189213931560516,
0.07148916274309158,
-0.032503120601177216,
-0.050512779504060745,
-4.475703008210985e-8,
-0.029339268803596497,
0.004953044932335615,
-0.021350940689444542,
0.12253526598215103,
0.06755461543798447,
0.02803877927362919,
-0.0911681205034256,
-0.03472309187054634,
0.08872368931770325,
0.035718563944101334,
0.066677525639534,
-0.00284685380756855,
-0.020825423300266266,
0.026608802378177643,
0.04738201946020126,
-0.005877316929399967,
-0.0004911019932478666,
-0.06264010071754456,
0.01835385337471962,
-0.016758589074015617,
0.028196683153510094,
0.03655930235981941,
0.05978215113282204,
-0.08509174734354019,
-0.0250620748847723,
0.06873194128274918,
-0.02608485333621502,
-0.04513329640030861,
-0.0053344969637691975,
-0.050726886838674545,
-0.0832216814160347,
-0.039899177849292755,
0.10472685843706131,
-0.07564153522253036,
0.0002151691442122683,
0.05272473767399788,
0.046859581023454666,
0.013456447049975395,
0.07234537601470947,
-0.04050473868846893,
0.04303085803985596,
-0.03535520285367966,
0.02148711495101452,
0.01336316391825676,
-0.07208596169948578,
-0.041429415345191956,
-0.06720996648073196,
0.06923302263021469,
-0.05414127930998802,
0.06405194103717804,
-0.04156326502561569,
-0.03776213899254799,
-0.007662727031856775,
0.0037179847713559866,
0.012225089594721794,
0.0007036260794848204,
-0.027789762243628502,
0.05292980745434761,
0.02033904381096363,
0.08701644092798233,
-0.04290754720568657,
-0.003036906011402607,
-0.09380204975605011,
0.0367233008146286
] | null | null | null | null | null | null | null |
[
0.0014079472748562694,
0.005310328211635351,
0.005309099797159433,
0.04399055987596512,
-0.04526403173804283,
-0.029805893078446388,
-0.04966578260064125,
-0.02094135247170925,
-0.0674273818731308,
-0.03799238055944443,
-0.08934101462364197,
-0.11106067150831223,
0.05645722523331642,
-0.048723384737968445,
0.012001107446849346,
-0.041781503707170486,
0.13302503526210785,
-0.037814512848854065,
0.027567880228161812,
-0.035335879772901535,
-0.05668167024850845,
-0.06228739395737648,
-0.0049649570137262344,
-0.06452612578868866,
-0.052244458347558975,
0.02793942391872406,
-0.018630925565958023,
-0.08728278428316116,
-0.012003467418253422,
-0.03697062283754349,
-0.055711887776851654,
0.016137633472681046,
-0.1304507553577423,
-0.019885094836354256,
0.04835433140397072,
-0.0551580972969532,
-0.07609036564826965,
0.03493957594037056,
-0.03646908700466156,
-0.0705510750412941,
0.009185761213302612,
0.05052367225289345,
0.0656055435538292,
0.07654217630624771,
0.047068674117326736,
0.04541156440973282,
0.044736191630363464,
-0.0015009433263912797,
-0.009680944494903088,
-0.07150878012180328,
-0.015912596136331558,
-0.01210526842623949,
0.035507433116436005,
0.1544596254825592,
0.04991142079234123,
0.07779313623905182,
-0.0462443009018898,
-0.06168109551072121,
-0.030549127608537674,
0.022670362144708633,
0.02058783918619156,
0.019457777962088585,
0.028215670958161354,
-0.05458800494670868,
0.059487588703632355,
0.022521980106830597,
-0.07979220151901245,
0.02557472325861454,
-0.06169959902763367,
0.04073436185717583,
0.026772694662213326,
-0.027251072227954865,
0.00809551402926445,
-0.014779241755604744,
0.08145825564861298,
0.006244834512472153,
0.00044179757242091,
-0.02059311233460903,
0.04402897134423256,
-0.05469728261232376,
-0.017482437193393707,
-0.0054671368561685085,
-0.042791999876499176,
-0.0415332168340683,
-0.06675156950950623,
-0.06671887636184692,
0.12121297419071198,
-0.0626986026763916,
0.028651148080825806,
-0.017819294705986977,
0.096134252846241,
-0.0028139993082731962,
-0.0261553768068552,
-0.03165055066347122,
-0.08182325214147568,
-0.03144879639148712,
-0.06308424472808838,
0.07766228169202805,
-0.0326664112508297,
-0.05816389247775078,
0.08486142009496689,
-0.015492904931306839,
0.016784094274044037,
0.060689982026815414,
-0.06753792613744736,
0.07520446181297302,
0.12781432271003723,
0.01975635625422001,
-0.00820375606417656,
0.0732785239815712,
0.01647024042904377,
0.07449023425579071,
-0.06328202039003372,
-0.0454549714922905,
0.007111136801540852,
-0.024464718997478485,
0.0181806031614542,
0.0596797801554203,
-0.012502509169280529,
0.03536658734083176,
-0.008663182146847248,
0.1242862194776535,
0.0271234642714262,
-0.004316721577197313,
-0.022638684138655663,
-0.010079655796289444,
-0.0676945298910141,
3.546473803270534e-33,
0.055411603301763535,
-0.0805625319480896,
-0.0356733575463295,
-0.01639966294169426,
0.003806646913290024,
-0.05817985162138939,
0.044589586555957794,
0.014063809998333454,
0.05026179552078247,
0.05804029852151871,
0.02771458402276039,
-0.011964996345341206,
-0.019291412085294724,
-0.013180894777178764,
-0.025519687682390213,
0.016928309574723244,
-0.08134642243385315,
-0.06489329040050507,
-0.044213615357875824,
0.04577486962080002,
0.012499721720814705,
0.045996349304914474,
-0.06309299170970917,
0.0903853327035904,
0.006238230504095554,
-0.016261491924524307,
-0.015424319542944431,
0.0032594618387520313,
-0.06065917760133743,
0.02288666181266308,
0.019256576895713806,
-0.02528005838394165,
-0.010843374766409397,
0.06975981593132019,
0.07593391835689545,
-0.01656288467347622,
0.06121175363659859,
0.05202021822333336,
0.0013766110641881824,
-0.0028119853232055902,
-0.04420381039381027,
0.017203399911522865,
-0.005875361617654562,
0.0390956848859787,
-0.014294467866420746,
-0.04719206690788269,
0.050449397414922714,
0.061742257326841354,
0.039850033819675446,
-0.009655053727328777,
0.08708247542381287,
-0.07583899796009064,
-0.038443099707365036,
0.07247260957956314,
0.08208494633436203,
-0.0001900961942737922,
0.01712927408516407,
0.008627783507108688,
0.03582358360290527,
-0.1043359711766243,
-0.012438604608178139,
-0.010259048081934452,
-0.01342868898063898,
0.02384604886174202,
-0.07743504643440247,
0.04810303822159767,
0.014799604192376137,
0.045850515365600586,
-0.02764960378408432,
-0.029148941859602928,
-0.06505915522575378,
0.03920119255781174,
0.00291185500100255,
-0.027785973623394966,
-0.054166343063116074,
-0.02970944158732891,
0.04316527768969536,
-0.03296419233083725,
0.022546865046024323,
-0.0024175525177270174,
0.07792532444000244,
-0.017527034506201744,
-0.00048149540089070797,
-0.058243684470653534,
0.008995876647531986,
0.022554468363523483,
0.02050022967159748,
-0.009654218330979347,
-0.0031969896517693996,
-0.07120735943317413,
0.11931323260068893,
0.011784975416958332,
0.021428260952234268,
-0.0632791519165039,
-0.0677662044763565,
-4.052251186204947e-33,
0.06055775284767151,
-0.09146753698587418,
0.05432826280593872,
0.015361625701189041,
0.03613680228590965,
0.0059378789737820625,
0.001485145534388721,
-0.01917346566915512,
0.015940243378281593,
-0.08546613156795502,
-0.015792841091752052,
0.022291753441095352,
0.09627487510442734,
-0.02083151414990425,
0.053617291152477264,
-0.07063139975070953,
0.013837235979735851,
-0.022705402225255966,
0.01592402346432209,
-0.04744128882884979,
-0.04875974357128143,
0.005513510201126337,
-0.016403287649154663,
-0.1036253422498703,
-0.008937161415815353,
0.02082277461886406,
-0.033522117882966995,
0.08871486037969589,
0.0322028212249279,
0.025904567912220955,
-0.009418304078280926,
0.03853701800107956,
-0.027895547449588776,
0.020129408687353134,
0.012774476781487465,
-0.04684042930603027,
0.024516813457012177,
-0.06163997948169708,
-0.017652060836553574,
-0.09327753633260727,
-0.009799554944038391,
0.013809907250106335,
0.007467486429959536,
0.11488980799913406,
-0.0711163580417633,
0.0499788299202919,
-0.13313370943069458,
-0.06174803897738457,
0.037908539175987244,
0.06706234067678452,
0.04033518210053444,
-0.09406302124261856,
-0.0399525910615921,
-0.013562577776610851,
-0.057304855436086655,
-0.002155466703698039,
0.027306601405143738,
0.07607401907444,
0.01754188910126686,
0.04185088723897934,
0.0610748752951622,
-0.023065978661179543,
0.04554084688425064,
-0.042861729860305786,
0.008496107533574104,
0.0367409847676754,
-0.020269857719540596,
0.07484561949968338,
0.06300713121891022,
-0.015186862088739872,
0.06965160369873047,
0.06516402959823608,
-0.04410494118928909,
-0.031679220497608185,
-0.021465854719281197,
0.09607468545436859,
0.10808300971984863,
-0.03410819172859192,
0.010561496019363403,
0.07217525690793991,
-0.03846689313650131,
0.07591760903596878,
-0.02516607567667961,
-0.04542761668562889,
0.07353329658508301,
-0.04906252771615982,
-0.053192537277936935,
0.008226417005062103,
-0.03387755528092384,
0.02876419387757778,
-0.0464848130941391,
-0.062189213931560516,
0.07148916274309158,
-0.032503120601177216,
-0.050512779504060745,
-4.475703008210985e-8,
-0.029339268803596497,
0.004953044932335615,
-0.021350940689444542,
0.12253526598215103,
0.06755461543798447,
0.02803877927362919,
-0.0911681205034256,
-0.03472309187054634,
0.08872368931770325,
0.035718563944101334,
0.066677525639534,
-0.00284685380756855,
-0.020825423300266266,
0.026608802378177643,
0.04738201946020126,
-0.005877316929399967,
-0.0004911019932478666,
-0.06264010071754456,
0.01835385337471962,
-0.016758589074015617,
0.028196683153510094,
0.03655930235981941,
0.05978215113282204,
-0.08509174734354019,
-0.0250620748847723,
0.06873194128274918,
-0.02608485333621502,
-0.04513329640030861,
-0.0053344969637691975,
-0.050726886838674545,
-0.0832216814160347,
-0.039899177849292755,
0.10472685843706131,
-0.07564153522253036,
0.0002151691442122683,
0.05272473767399788,
0.046859581023454666,
0.013456447049975395,
0.07234537601470947,
-0.04050473868846893,
0.04303085803985596,
-0.03535520285367966,
0.02148711495101452,
0.01336316391825676,
-0.07208596169948578,
-0.041429415345191956,
-0.06720996648073196,
0.06923302263021469,
-0.05414127930998802,
0.06405194103717804,
-0.04156326502561569,
-0.03776213899254799,
-0.007662727031856775,
0.0037179847713559866,
0.012225089594721794,
0.0007036260794848204,
-0.027789762243628502,
0.05292980745434761,
0.02033904381096363,
0.08701644092798233,
-0.04290754720568657,
-0.003036906011402607,
-0.09380204975605011,
0.0367233008146286
] |
1401.7753
|
Barbara Obryk
|
Barbara Obryk, Paola Batistoni, Sean Conroy, Brian D. Syme, Sergey
Popovichev, Ion E. Stamatelatos, Theodora Vasilopoulou, Pawe{\l} Bilski and
JET EFDA Contributors
|
Thermoluminescence measurements of neutron streaming through JET Torus
Hall ducts
|
Presented at the 11th International Symposium on Fusion Nuclear
Technology (ISFNT), held in Barcelona, Spain, from 16-20 September 2013
| null |
10.1016/j.fusengdes.2013.12.045
| null |
physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Thermoluminescence detectors (TLD) were used for dose measurements at JET.
Several hundreds of LiF detectors of various types, standard LiF:Mg,Ti and
highly sensitive LiF:Mg,Cu,P were produced. LiF detectors consisting of natural
lithium are sensitive to slow neutrons, their response to neutrons being
enhanced by 6Li-enriched lithium or suppressed by using lithium consisting
entirely of 7Li. Pairs of 6LiF/7LiF detectors allow distinguishing between
neutron/non-neutron components of a radiation field. For detection of neutrons
of higher energy, polyethylene (PE-300) moderators were used. TLDs, located in
the centre of cylindrical moderators, were installed at eleven positions in the
JET hall and the hall labyrinth in July 2012, and exposure took place during
the last two weeks of the experimental campaign. Measurements of the gamma dose
were obtained for all positions over a range of about five orders of magnitude
variation. As the TLDs were also calibrated in a thermal neutron field, the
neutron fluence at the experimental position could be derived. The experimental
results are compared with calculations using the MCNP code. The results confirm
that the TLD technology can be usefully applied to measurements of neutron
streaming through JET Torus Hall ducts.
|
[
{
"created": "Thu, 30 Jan 2014 06:59:21 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Obryk",
"Barbara",
""
],
[
"Batistoni",
"Paola",
""
],
[
"Conroy",
"Sean",
""
],
[
"Syme",
"Brian D.",
""
],
[
"Popovichev",
"Sergey",
""
],
[
"Stamatelatos",
"Ion E.",
""
],
[
"Vasilopoulou",
"Theodora",
""
],
[
"Bilski",
"Paweł",
""
],
[
"Contributors",
"JET EFDA",
""
]
] |
[
0.017854630947113037,
-0.088023841381073,
-0.012663024477660656,
0.03484527766704559,
0.02735505998134613,
-0.018892783671617508,
0.07335252314805984,
0.044172901660203934,
0.0059998780488967896,
-0.01325068436563015,
0.02849108912050724,
-0.01576905883848667,
0.08204682916402817,
0.06284239888191223,
0.010127977468073368,
0.03884899988770485,
0.05689190700650215,
0.042524050921201706,
-0.003024220932275057,
-0.006579922046512365,
0.008312525227665901,
-0.01728142984211445,
0.027424415573477745,
0.016660066321492195,
-0.036449600011110306,
0.010123483836650848,
0.0007788286311551929,
-0.012900841422379017,
-0.01752425730228424,
0.013097867369651794,
-0.03209313005208969,
0.06189236044883728,
-0.04286714643239975,
-0.03204502910375595,
0.05208032205700874,
0.010604753158986568,
-0.002184191020205617,
-0.0229767058044672,
-0.07652885466814041,
-0.0017577329417690635,
-0.05748094990849495,
-0.042849790304899216,
0.08669073134660721,
0.03949686512351036,
-0.028507497161626816,
0.015034360811114311,
0.007680142764002085,
-0.14850202202796936,
-0.020097892731428146,
-0.00274806865490973,
0.14940595626831055,
0.008465803228318691,
0.06538897007703781,
-0.0004326138587202877,
0.019066542387008667,
-0.015468900091946125,
0.017678651958703995,
-0.07508906722068787,
-0.012348259799182415,
0.05724436044692993,
-0.07051511108875275,
0.011350106447935104,
-0.040022894740104675,
0.004847980570048094,
0.025487584993243217,
0.06920045614242554,
0.05709889903664589,
-0.06662897765636444,
0.05245183780789375,
-0.12279202789068222,
0.018002133816480637,
0.09445150196552277,
0.035450372844934464,
-0.04672665894031525,
-0.07845047861337662,
0.021607618778944016,
0.030653351917862892,
0.01199035532772541,
0.0019799626898020506,
-0.03454945608973503,
-0.008443141356110573,
-0.022101685404777527,
0.03574807196855545,
-0.0006857618573121727,
0.02953636460006237,
0.03481721132993698,
0.02734757959842682,
0.09402452409267426,
-0.0673212930560112,
0.13842764496803284,
0.07270121574401855,
0.03609433397650719,
-0.03895334526896477,
0.01792093925178051,
0.06189226731657982,
0.07294650375843048,
0.00036151838139630854,
-0.044939711689949036,
0.001918666297569871,
0.018167691305279732,
0.002937129931524396,
-0.03726072609424591,
-0.07541565597057343,
0.034530170261859894,
-0.050431426614522934,
0.0004533764149527997,
0.000707807601429522,
0.0018637891625985503,
0.008846106007695198,
-0.00180704309605062,
0.030004164204001427,
-0.040605198591947556,
0.07655756920576096,
-0.023884830996394157,
-0.01725056581199169,
-0.004645186476409435,
-0.011153005994856358,
0.07969499379396439,
0.045943595468997955,
-0.029197663068771362,
0.058646053075790405,
0.03144488111138344,
0.006612134166061878,
0.06694270670413971,
0.010632438585162163,
0.003954683896154165,
-0.0059255133382976055,
2.1297560730450126e-33,
0.04285325109958649,
0.06397049129009247,
-0.01879744417965412,
0.0413653627038002,
-0.04100065305829048,
0.009462304413318634,
-0.036011356860399246,
-0.028658946976065636,
-0.022430110722780228,
-0.01680857501924038,
0.015557064674794674,
0.06895216554403305,
-0.034872233867645264,
-0.04702647775411606,
0.013293313793838024,
0.01572348363697529,
0.032119445502758026,
0.006845336873084307,
0.008029097691178322,
-0.03241274878382683,
-0.0763249471783638,
-0.020837955176830292,
0.0215254295617342,
0.04550936073064804,
0.026774032041430473,
0.07882610708475113,
-0.00570070231333375,
-0.01141207292675972,
-0.07153242081403732,
0.0166203361004591,
0.007494262419641018,
-0.011704646982252598,
-0.025522755458950996,
0.08596289157867432,
0.03087937831878662,
-0.006971966475248337,
-0.034785978496074677,
0.01810871809720993,
-0.055191151797771454,
-0.07561885565519333,
0.11282551288604736,
0.026482047513127327,
-0.023322438821196556,
0.05088075250387192,
0.010874023661017418,
-0.019996901974081993,
-0.03317747265100479,
-0.028039097785949707,
-0.022923186421394348,
0.0011497167870402336,
-0.03278311342000961,
-0.019063612446188927,
-0.07556994259357452,
-0.05538059026002884,
0.002777088200673461,
0.03348684310913086,
-0.03170133754611015,
-0.023678161203861237,
0.06749507784843445,
-0.003370849881321192,
-0.02121078595519066,
0.07364146411418915,
0.040893156081438065,
0.006693486124277115,
0.021326640620827675,
0.01789928413927555,
-0.08638323843479156,
-0.0401136577129364,
-0.03814085200428963,
-0.01016279123723507,
-0.045490413904190063,
-0.03173669055104256,
0.03304741904139519,
-0.03285310044884682,
-0.011043510399758816,
-0.012243593111634254,
-0.053741566836833954,
0.010153732262551785,
0.008515107445418835,
-0.013215729035437107,
-0.04747619479894638,
-0.014493531547486782,
0.075971819460392,
-0.024155212566256523,
-0.06223718822002411,
0.013240430504083633,
-0.03926446661353111,
0.018050242215394974,
-0.019518952816724777,
-0.03252233564853668,
0.04365506023168564,
-0.10815069079399109,
0.03453722223639488,
0.010567130520939827,
-0.06029848754405975,
-3.440933145007909e-33,
-0.025481829419732094,
0.002451241249218583,
0.03445475175976753,
0.023534055799245834,
0.010636614635586739,
-0.01133083738386631,
0.013310795649886131,
-0.06370817869901657,
0.05206814780831337,
0.02909577451646328,
0.053593240678310394,
0.050835706293582916,
-0.07296644896268845,
-0.14515291154384613,
0.024094784632325172,
0.02112702652812004,
0.01572672836482525,
0.021273301914334297,
-0.0464150607585907,
0.008891801349818707,
-0.027460871264338493,
0.03768830746412277,
-0.08766593039035797,
-0.026002949103713036,
0.020678259432315826,
0.018629206344485283,
0.04769865795969963,
-0.08718062937259674,
0.03794228658080101,
-0.010714547708630562,
-0.016718873754143715,
0.07000400871038437,
0.003945969510823488,
0.05447126179933548,
0.02529732882976532,
-0.09908808022737503,
0.10905030369758606,
-0.03073904663324356,
0.013523089699447155,
-0.009274659678339958,
0.007262826431542635,
0.07899025082588196,
0.01442823838442564,
-0.1215069368481636,
-0.03517413139343262,
0.07630929350852966,
0.021514369174838066,
-0.06937971711158752,
0.10924626886844635,
-0.012421553954482079,
-0.01972266659140587,
-0.0028699564281851053,
-0.11459007114171982,
0.02891608513891697,
-0.028689313679933548,
-0.05370864272117615,
-0.04694747552275658,
0.03511679917573929,
0.008531457744538784,
-0.03387077897787094,
0.024811560288071632,
-0.017179645597934723,
0.10921403020620346,
-0.03924352303147316,
-0.11030565202236176,
0.030589384958148003,
-0.000671476882416755,
0.1126801073551178,
0.006529493723064661,
-0.07228405773639679,
0.02635696716606617,
-0.01773311384022236,
0.0550958476960659,
-0.031551752239465714,
-0.011422025971114635,
-0.13575342297554016,
0.013968664221465588,
-0.047712769359350204,
0.002599669387564063,
-0.009484127163887024,
-0.0010820196475833654,
0.046230629086494446,
-0.09331788122653961,
-0.013693328015506268,
0.08545500785112381,
-0.052509501576423645,
0.09965969622135162,
0.042956557124853134,
0.027325335890054703,
-0.10378596931695938,
0.019948964938521385,
-0.005066945683211088,
-0.006807940546423197,
0.013412060216069221,
0.08744564652442932,
-5.0617323665846925e-8,
-0.021369347348809242,
0.038644738495349884,
-0.1198684573173523,
-0.04067191854119301,
-0.037804435938596725,
-0.05614258721470833,
0.04846104979515076,
0.11517760157585144,
-0.033540427684783936,
-0.12118788808584213,
0.06758994609117508,
-0.02343129925429821,
-0.012041027657687664,
0.008451602421700954,
0.026864638552069664,
0.036294758319854736,
-0.07897572219371796,
-0.04204731434583664,
0.0036361683160066605,
0.0026175137609243393,
0.05527739226818085,
-0.05332755297422409,
0.054250605404376984,
0.012043852359056473,
-0.09816072136163712,
0.06526410579681396,
-0.027169885113835335,
-0.04152515158057213,
0.0738760381937027,
-0.07164084911346436,
-0.059474509209394455,
-0.0431385412812233,
-0.07262597978115082,
-0.04274924844503403,
0.03513898700475693,
0.08238581568002701,
0.017474524676799774,
-0.05542254075407982,
0.03754892572760582,
0.16678956151008606,
-0.03708559274673462,
-0.10363995283842087,
0.005753385368734598,
0.04546033963561058,
-0.055259302258491516,
0.018216608092188835,
0.0035692171659320593,
0.005868377164006233,
-0.06315036863088608,
0.1295270472764969,
0.07411820441484451,
0.04958434775471687,
-0.04859520122408867,
-0.05008392408490181,
-0.06998792290687561,
0.0477561391890049,
0.0985516905784607,
-0.06095175817608833,
-0.08378637582063675,
-0.03465889021754265,
0.058699365705251694,
-0.0868505910038948,
-0.012215971015393734,
-0.07993125170469284
] | null | null | null | null | null | null | null |
[
0.017854630947113037,
-0.088023841381073,
-0.012663024477660656,
0.03484527766704559,
0.02735505998134613,
-0.018892783671617508,
0.07335252314805984,
0.044172901660203934,
0.0059998780488967896,
-0.01325068436563015,
0.02849108912050724,
-0.01576905883848667,
0.08204682916402817,
0.06284239888191223,
0.010127977468073368,
0.03884899988770485,
0.05689190700650215,
0.042524050921201706,
-0.003024220932275057,
-0.006579922046512365,
0.008312525227665901,
-0.01728142984211445,
0.027424415573477745,
0.016660066321492195,
-0.036449600011110306,
0.010123483836650848,
0.0007788286311551929,
-0.012900841422379017,
-0.01752425730228424,
0.013097867369651794,
-0.03209313005208969,
0.06189236044883728,
-0.04286714643239975,
-0.03204502910375595,
0.05208032205700874,
0.010604753158986568,
-0.002184191020205617,
-0.0229767058044672,
-0.07652885466814041,
-0.0017577329417690635,
-0.05748094990849495,
-0.042849790304899216,
0.08669073134660721,
0.03949686512351036,
-0.028507497161626816,
0.015034360811114311,
0.007680142764002085,
-0.14850202202796936,
-0.020097892731428146,
-0.00274806865490973,
0.14940595626831055,
0.008465803228318691,
0.06538897007703781,
-0.0004326138587202877,
0.019066542387008667,
-0.015468900091946125,
0.017678651958703995,
-0.07508906722068787,
-0.012348259799182415,
0.05724436044692993,
-0.07051511108875275,
0.011350106447935104,
-0.040022894740104675,
0.004847980570048094,
0.025487584993243217,
0.06920045614242554,
0.05709889903664589,
-0.06662897765636444,
0.05245183780789375,
-0.12279202789068222,
0.018002133816480637,
0.09445150196552277,
0.035450372844934464,
-0.04672665894031525,
-0.07845047861337662,
0.021607618778944016,
0.030653351917862892,
0.01199035532772541,
0.0019799626898020506,
-0.03454945608973503,
-0.008443141356110573,
-0.022101685404777527,
0.03574807196855545,
-0.0006857618573121727,
0.02953636460006237,
0.03481721132993698,
0.02734757959842682,
0.09402452409267426,
-0.0673212930560112,
0.13842764496803284,
0.07270121574401855,
0.03609433397650719,
-0.03895334526896477,
0.01792093925178051,
0.06189226731657982,
0.07294650375843048,
0.00036151838139630854,
-0.044939711689949036,
0.001918666297569871,
0.018167691305279732,
0.002937129931524396,
-0.03726072609424591,
-0.07541565597057343,
0.034530170261859894,
-0.050431426614522934,
0.0004533764149527997,
0.000707807601429522,
0.0018637891625985503,
0.008846106007695198,
-0.00180704309605062,
0.030004164204001427,
-0.040605198591947556,
0.07655756920576096,
-0.023884830996394157,
-0.01725056581199169,
-0.004645186476409435,
-0.011153005994856358,
0.07969499379396439,
0.045943595468997955,
-0.029197663068771362,
0.058646053075790405,
0.03144488111138344,
0.006612134166061878,
0.06694270670413971,
0.010632438585162163,
0.003954683896154165,
-0.0059255133382976055,
2.1297560730450126e-33,
0.04285325109958649,
0.06397049129009247,
-0.01879744417965412,
0.0413653627038002,
-0.04100065305829048,
0.009462304413318634,
-0.036011356860399246,
-0.028658946976065636,
-0.022430110722780228,
-0.01680857501924038,
0.015557064674794674,
0.06895216554403305,
-0.034872233867645264,
-0.04702647775411606,
0.013293313793838024,
0.01572348363697529,
0.032119445502758026,
0.006845336873084307,
0.008029097691178322,
-0.03241274878382683,
-0.0763249471783638,
-0.020837955176830292,
0.0215254295617342,
0.04550936073064804,
0.026774032041430473,
0.07882610708475113,
-0.00570070231333375,
-0.01141207292675972,
-0.07153242081403732,
0.0166203361004591,
0.007494262419641018,
-0.011704646982252598,
-0.025522755458950996,
0.08596289157867432,
0.03087937831878662,
-0.006971966475248337,
-0.034785978496074677,
0.01810871809720993,
-0.055191151797771454,
-0.07561885565519333,
0.11282551288604736,
0.026482047513127327,
-0.023322438821196556,
0.05088075250387192,
0.010874023661017418,
-0.019996901974081993,
-0.03317747265100479,
-0.028039097785949707,
-0.022923186421394348,
0.0011497167870402336,
-0.03278311342000961,
-0.019063612446188927,
-0.07556994259357452,
-0.05538059026002884,
0.002777088200673461,
0.03348684310913086,
-0.03170133754611015,
-0.023678161203861237,
0.06749507784843445,
-0.003370849881321192,
-0.02121078595519066,
0.07364146411418915,
0.040893156081438065,
0.006693486124277115,
0.021326640620827675,
0.01789928413927555,
-0.08638323843479156,
-0.0401136577129364,
-0.03814085200428963,
-0.01016279123723507,
-0.045490413904190063,
-0.03173669055104256,
0.03304741904139519,
-0.03285310044884682,
-0.011043510399758816,
-0.012243593111634254,
-0.053741566836833954,
0.010153732262551785,
0.008515107445418835,
-0.013215729035437107,
-0.04747619479894638,
-0.014493531547486782,
0.075971819460392,
-0.024155212566256523,
-0.06223718822002411,
0.013240430504083633,
-0.03926446661353111,
0.018050242215394974,
-0.019518952816724777,
-0.03252233564853668,
0.04365506023168564,
-0.10815069079399109,
0.03453722223639488,
0.010567130520939827,
-0.06029848754405975,
-3.440933145007909e-33,
-0.025481829419732094,
0.002451241249218583,
0.03445475175976753,
0.023534055799245834,
0.010636614635586739,
-0.01133083738386631,
0.013310795649886131,
-0.06370817869901657,
0.05206814780831337,
0.02909577451646328,
0.053593240678310394,
0.050835706293582916,
-0.07296644896268845,
-0.14515291154384613,
0.024094784632325172,
0.02112702652812004,
0.01572672836482525,
0.021273301914334297,
-0.0464150607585907,
0.008891801349818707,
-0.027460871264338493,
0.03768830746412277,
-0.08766593039035797,
-0.026002949103713036,
0.020678259432315826,
0.018629206344485283,
0.04769865795969963,
-0.08718062937259674,
0.03794228658080101,
-0.010714547708630562,
-0.016718873754143715,
0.07000400871038437,
0.003945969510823488,
0.05447126179933548,
0.02529732882976532,
-0.09908808022737503,
0.10905030369758606,
-0.03073904663324356,
0.013523089699447155,
-0.009274659678339958,
0.007262826431542635,
0.07899025082588196,
0.01442823838442564,
-0.1215069368481636,
-0.03517413139343262,
0.07630929350852966,
0.021514369174838066,
-0.06937971711158752,
0.10924626886844635,
-0.012421553954482079,
-0.01972266659140587,
-0.0028699564281851053,
-0.11459007114171982,
0.02891608513891697,
-0.028689313679933548,
-0.05370864272117615,
-0.04694747552275658,
0.03511679917573929,
0.008531457744538784,
-0.03387077897787094,
0.024811560288071632,
-0.017179645597934723,
0.10921403020620346,
-0.03924352303147316,
-0.11030565202236176,
0.030589384958148003,
-0.000671476882416755,
0.1126801073551178,
0.006529493723064661,
-0.07228405773639679,
0.02635696716606617,
-0.01773311384022236,
0.0550958476960659,
-0.031551752239465714,
-0.011422025971114635,
-0.13575342297554016,
0.013968664221465588,
-0.047712769359350204,
0.002599669387564063,
-0.009484127163887024,
-0.0010820196475833654,
0.046230629086494446,
-0.09331788122653961,
-0.013693328015506268,
0.08545500785112381,
-0.052509501576423645,
0.09965969622135162,
0.042956557124853134,
0.027325335890054703,
-0.10378596931695938,
0.019948964938521385,
-0.005066945683211088,
-0.006807940546423197,
0.013412060216069221,
0.08744564652442932,
-5.0617323665846925e-8,
-0.021369347348809242,
0.038644738495349884,
-0.1198684573173523,
-0.04067191854119301,
-0.037804435938596725,
-0.05614258721470833,
0.04846104979515076,
0.11517760157585144,
-0.033540427684783936,
-0.12118788808584213,
0.06758994609117508,
-0.02343129925429821,
-0.012041027657687664,
0.008451602421700954,
0.026864638552069664,
0.036294758319854736,
-0.07897572219371796,
-0.04204731434583664,
0.0036361683160066605,
0.0026175137609243393,
0.05527739226818085,
-0.05332755297422409,
0.054250605404376984,
0.012043852359056473,
-0.09816072136163712,
0.06526410579681396,
-0.027169885113835335,
-0.04152515158057213,
0.0738760381937027,
-0.07164084911346436,
-0.059474509209394455,
-0.0431385412812233,
-0.07262597978115082,
-0.04274924844503403,
0.03513898700475693,
0.08238581568002701,
0.017474524676799774,
-0.05542254075407982,
0.03754892572760582,
0.16678956151008606,
-0.03708559274673462,
-0.10363995283842087,
0.005753385368734598,
0.04546033963561058,
-0.055259302258491516,
0.018216608092188835,
0.0035692171659320593,
0.005868377164006233,
-0.06315036863088608,
0.1295270472764969,
0.07411820441484451,
0.04958434775471687,
-0.04859520122408867,
-0.05008392408490181,
-0.06998792290687561,
0.0477561391890049,
0.0985516905784607,
-0.06095175817608833,
-0.08378637582063675,
-0.03465889021754265,
0.058699365705251694,
-0.0868505910038948,
-0.012215971015393734,
-0.07993125170469284
] |
1401.7758
|
J\"urgen M\"unch
|
Frank Elberzhager, Stephan Kremer, J\"urgen M\"unch, Danilo Assmann
|
Focusing Testing by Using Inspection and Product Metrics
|
29 pages. The final publication is available at
http://www.worldscientific.com/doi/abs/10.1142/s0218194013400093. arXiv admin
note: substantial text overlap with arXiv:1312.0713
|
International Journal of Software Engineering and Knowledge
Engineering, 23(04):433-462, 2013
|
10.1142/S0218194013400093
| null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A well-known approach for identifying defect-prone parts of software in order
to focus testing is to use different kinds of product metrics such as size or
complexity. Although this approach has been evaluated in many contexts, the
question remains if there are further opportunities to improve test focusing.
One idea is to identify other types of information that may indicate the
location of defect-prone software parts. Data from software inspections, in
particular, appear to be promising. This kind of data might already lead to
software parts that have inherent difficulties or programming challenges, and
in consequence might be defect-prone. This article first explains how
inspection and product metrics can be used to focus testing activities. Second,
we compare selected product and inspection metrics commonly used to predict
defect-prone parts (e.g., size and complexity metrics, inspection defect
content metrics, and defect density metrics). Based on initial experience from
two case studies performed in different environments, the suitability of
different metrics for predicting defect-prone parts is illustrated. The studies
revealed that inspection defect data seems to be a suitable predictor, and a
combination of certain inspection and product metrics led to the best
prioritizations in our contexts. In addition, qualitative experience is
presented, which substantiates the expected benefit of using inspection results
to optimize testing.
|
[
{
"created": "Thu, 30 Jan 2014 07:49:10 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2014 07:45:41 GMT",
"version": "v2"
}
] |
2014-02-05
|
[
[
"Elberzhager",
"Frank",
""
],
[
"Kremer",
"Stephan",
""
],
[
"Münch",
"Jürgen",
""
],
[
"Assmann",
"Danilo",
""
]
] |
[
0.01165972463786602,
-0.026675382629036903,
0.022864526137709618,
-0.003234781324863434,
0.06024341285228729,
-0.06517156213521957,
0.05587794631719589,
0.09342298656702042,
-0.034992046654224396,
-0.019777929410338402,
-0.019043559208512306,
-0.07921326160430908,
0.05910281836986542,
0.02956555411219597,
-0.01189782191067934,
-0.025754237547516823,
0.03576791658997536,
-0.06218534708023071,
-0.015349863097071648,
-0.05713869258761406,
0.02233089879155159,
0.019554119557142258,
0.01967521384358406,
0.005634685512632132,
-0.08978727459907532,
0.027555828914046288,
-0.04132045432925224,
-0.03153400868177414,
0.006680602207779884,
-0.027668366208672523,
-0.006888385396450758,
0.09824776649475098,
0.013469536788761616,
0.031462833285331726,
0.03445860370993614,
-0.00401607621461153,
0.004758225288242102,
-0.0127260135486722,
-0.032374076545238495,
-0.08358322083950043,
-0.06792718172073364,
-0.00044739150325767696,
0.017231469973921776,
0.05407382547855377,
0.0017925865249708295,
-0.051272518932819366,
0.03562029078602791,
-0.044600579887628555,
-0.01245200913399458,
0.01400715671479702,
-0.10148002207279205,
-0.031037261709570885,
-0.02015693113207817,
-0.05160408094525337,
0.018453439697623253,
0.00986685510724783,
0.06518688052892685,
-0.02077106386423111,
-0.012671060860157013,
0.008913776837289333,
0.05939372628927231,
-0.08243206143379211,
-0.016203192993998528,
-0.043590668588876724,
-0.020603301003575325,
-0.0026576092932373285,
0.014923673123121262,
-0.07261838018894196,
-0.022564228624105453,
0.022256042808294296,
-0.07786966115236282,
0.03178029507398605,
-0.07216130197048187,
0.05846799910068512,
-0.027154400944709778,
0.053532883524894714,
-0.00579417310655117,
0.02245365083217621,
-0.0031285351142287254,
-0.10001715272665024,
-0.05589112639427185,
0.06296642124652863,
-0.05138696730136871,
0.0511467382311821,
0.034180618822574615,
0.07006533443927765,
0.057620570063591,
-0.013584669679403305,
-0.006232148502022028,
-0.007005208637565374,
0.027753543108701706,
0.022984379902482033,
-0.035156477242708206,
-0.008856996893882751,
0.058329641819000244,
0.03548486903309822,
0.06600861251354218,
-0.03889545798301697,
0.026772689074277878,
0.04149537906050682,
-0.00816443283110857,
0.005723184440284967,
0.008134965784847736,
-0.03253661468625069,
-0.03895223140716553,
0.018187332898378372,
0.08641133457422256,
-0.06333781778812408,
0.02894618920981884,
-0.00671766884624958,
-0.021882642060518265,
-0.032668162137269974,
0.006861257832497358,
-0.03857598826289177,
0.008167942985892296,
-0.029390446841716766,
-0.050656236708164215,
-0.00876742135733366,
-0.011822869069874287,
0.09364829212427139,
0.06681293249130249,
0.06169765070080757,
0.05619360879063606,
-0.07188675552606583,
0.04353581368923187,
0.0033045224845409393,
0.01813274808228016,
1.6451475066589856e-33,
0.028418824076652527,
0.023972759023308754,
-0.06452451646327972,
0.04865337908267975,
-0.04105309396982193,
-0.03180856257677078,
0.022834038361907005,
0.06035410612821579,
0.032259806990623474,
0.02936822921037674,
0.01615085080265999,
0.03223662078380585,
-0.06353311240673065,
-0.044380124658346176,
0.15152883529663086,
0.1078980565071106,
-0.03455978259444237,
0.10942146927118301,
-0.09560441225767136,
-0.001450885203666985,
-0.04410756751894951,
-0.15047350525856018,
0.006557864602655172,
0.008742195554077625,
0.07962734997272491,
-0.05595731735229492,
0.006819522939622402,
0.05118593946099281,
-0.018506396561861038,
0.0049640461802482605,
0.021703511476516724,
0.040262795984745026,
0.028885332867503166,
0.019754912704229355,
-0.018085693940520287,
-0.024215932935476303,
-0.08530926704406738,
0.007017255295068026,
-0.004775961861014366,
0.01721721887588501,
-0.08066060394048691,
-0.03481704741716385,
0.027889523655176163,
0.00588926300406456,
0.06435518711805344,
-0.003878690069541335,
-0.01579355075955391,
-0.0772671326994896,
-0.0261601060628891,
-0.06626742333173752,
-0.00886357482522726,
-0.019671257585287094,
0.11289733648300171,
0.02955961786210537,
-0.09006350487470627,
0.07058646529912949,
0.07129435986280441,
-0.06692656874656677,
0.011721821501851082,
0.10253795236349106,
-0.10937859117984772,
0.03205142915248871,
0.046923402696847916,
-0.031767088919878006,
-0.04724913835525513,
-0.0016126255504786968,
0.06948558241128922,
0.003819166449829936,
0.033427052199840546,
0.02298749051988125,
-0.032135266810655594,
-0.05003873631358147,
-0.05969463288784027,
0.04775330051779747,
0.012818057090044022,
-0.03879574313759804,
0.029366880655288696,
-0.03439227119088173,
0.013119114562869072,
-0.06632257997989655,
-0.007304692640900612,
-0.018493710085749626,
0.0623757466673851,
-0.08053753525018692,
-0.04634397104382515,
-0.00617317296564579,
0.032372988760471344,
-0.007533765863627195,
-0.08238716423511505,
-0.006155277602374554,
-0.050399478524923325,
0.05743321776390076,
-0.05308183282613754,
0.02205163612961769,
0.043067816644907,
-3.6333204279352385e-33,
-0.0628763884305954,
-0.04856894537806511,
0.06454214453697205,
0.08285023272037506,
-0.045955393463373184,
-0.04458329826593399,
-0.05889436975121498,
-0.013278060592710972,
0.038118235766887665,
-0.00747445784509182,
-0.07650269567966461,
-0.07547621428966522,
-0.02236870862543583,
0.011093098670244217,
-0.09331629425287247,
0.07591520249843597,
-0.07308264821767807,
-0.038132261484861374,
0.046473827213048935,
0.047622088342905045,
0.10947400331497192,
0.0453236922621727,
-0.03621961176395416,
-0.03273271024227142,
-0.09071488678455353,
0.012991756200790405,
-0.010558598674833775,
-0.08330640941858292,
0.042915958911180496,
-0.05715058743953705,
0.03570374473929405,
0.034853167831897736,
-0.07372622191905975,
0.10136507451534271,
0.08228573203086853,
-0.08909840881824493,
0.07868974655866623,
-0.06104136258363724,
0.033477894961833954,
0.08790486305952072,
0.10743030905723572,
0.07688672095537186,
-0.010219079442322254,
0.014657114632427692,
-0.017172884196043015,
-0.044037435203790665,
0.06284859031438828,
-0.049978144466876984,
0.004002286121249199,
-0.07715405523777008,
-0.01505934540182352,
0.030760515481233597,
0.022852491587400436,
0.00195926777087152,
-0.0044214422814548016,
0.08313871175050735,
-0.01299478579312563,
0.006834403611719608,
0.00525461882352829,
0.07448167353868484,
-0.011630329303443432,
0.003678195411339402,
0.04711899906396866,
-0.0015003182925283909,
-0.038854263722896576,
-0.0058545623905956745,
0.11951060593128204,
0.01822282187640667,
-0.028198665007948875,
0.012714959681034088,
-0.0044067925773561,
-0.003565598279237747,
-0.09212049096822739,
-0.07941699028015137,
-0.03539668023586273,
0.016332514584064484,
-0.0005394376930780709,
-0.07660660147666931,
-0.03929226100444794,
-0.02957128919661045,
0.023576347157359123,
-0.026369182392954826,
-0.010758643969893456,
0.056396208703517914,
-0.02791535295546055,
0.0692724660038948,
0.03988567367196083,
0.037427015602588654,
0.03948529064655304,
-0.02815920300781727,
-0.10080628842115402,
0.07373416423797607,
-0.08291767537593842,
-0.0794231966137886,
-0.04364675655961037,
-4.8343405723016986e-8,
-0.02088412642478943,
-0.009067787788808346,
-0.003314186818897724,
0.010223345831036568,
-0.0168536938726902,
-0.013943701982498169,
-0.09577365219593048,
0.121016725897789,
-0.03368201479315758,
0.041880473494529724,
-0.04296306520700455,
-0.02938941866159439,
-0.14048248529434204,
0.07137648016214371,
0.022780897095799446,
-0.010693928226828575,
-0.019316937774419785,
0.08521603792905807,
-0.056234996765851974,
0.02051360160112381,
0.015854237601161003,
0.0742429867386818,
0.08482630550861359,
-0.008885152637958527,
-0.07376620918512344,
-0.10517902672290802,
0.045737374573946,
0.10241325199604034,
0.03612390160560608,
-0.034041497856378555,
0.12295854836702347,
0.021069077774882317,
0.08688856661319733,
-0.03912728652358055,
0.020018024370074272,
-0.04459255933761597,
0.02583412453532219,
0.03287958726286888,
0.0027725340332835913,
0.0361444428563118,
-0.016510354354977608,
0.03263237327337265,
0.0376751683652401,
0.049228642135858536,
-0.04922572523355484,
-0.06104479730129242,
-0.04745553806424141,
-0.002300188411027193,
-0.02247525379061699,
-0.08720459789037704,
0.06247355416417122,
-0.04971504211425781,
-0.06669756025075912,
0.043129269033670425,
-0.029704978689551353,
0.05136755108833313,
0.00296477391384542,
0.012590487487614155,
0.0649944394826889,
0.008884837850928307,
0.02781769074499607,
0.019352266564965248,
0.029520487412810326,
0.008507505059242249
] | null | null | null | null | null | null | null |
[
0.01165972463786602,
-0.026675382629036903,
0.022864526137709618,
-0.003234781324863434,
0.06024341285228729,
-0.06517156213521957,
0.05587794631719589,
0.09342298656702042,
-0.034992046654224396,
-0.019777929410338402,
-0.019043559208512306,
-0.07921326160430908,
0.05910281836986542,
0.02956555411219597,
-0.01189782191067934,
-0.025754237547516823,
0.03576791658997536,
-0.06218534708023071,
-0.015349863097071648,
-0.05713869258761406,
0.02233089879155159,
0.019554119557142258,
0.01967521384358406,
0.005634685512632132,
-0.08978727459907532,
0.027555828914046288,
-0.04132045432925224,
-0.03153400868177414,
0.006680602207779884,
-0.027668366208672523,
-0.006888385396450758,
0.09824776649475098,
0.013469536788761616,
0.031462833285331726,
0.03445860370993614,
-0.00401607621461153,
0.004758225288242102,
-0.0127260135486722,
-0.032374076545238495,
-0.08358322083950043,
-0.06792718172073364,
-0.00044739150325767696,
0.017231469973921776,
0.05407382547855377,
0.0017925865249708295,
-0.051272518932819366,
0.03562029078602791,
-0.044600579887628555,
-0.01245200913399458,
0.01400715671479702,
-0.10148002207279205,
-0.031037261709570885,
-0.02015693113207817,
-0.05160408094525337,
0.018453439697623253,
0.00986685510724783,
0.06518688052892685,
-0.02077106386423111,
-0.012671060860157013,
0.008913776837289333,
0.05939372628927231,
-0.08243206143379211,
-0.016203192993998528,
-0.043590668588876724,
-0.020603301003575325,
-0.0026576092932373285,
0.014923673123121262,
-0.07261838018894196,
-0.022564228624105453,
0.022256042808294296,
-0.07786966115236282,
0.03178029507398605,
-0.07216130197048187,
0.05846799910068512,
-0.027154400944709778,
0.053532883524894714,
-0.00579417310655117,
0.02245365083217621,
-0.0031285351142287254,
-0.10001715272665024,
-0.05589112639427185,
0.06296642124652863,
-0.05138696730136871,
0.0511467382311821,
0.034180618822574615,
0.07006533443927765,
0.057620570063591,
-0.013584669679403305,
-0.006232148502022028,
-0.007005208637565374,
0.027753543108701706,
0.022984379902482033,
-0.035156477242708206,
-0.008856996893882751,
0.058329641819000244,
0.03548486903309822,
0.06600861251354218,
-0.03889545798301697,
0.026772689074277878,
0.04149537906050682,
-0.00816443283110857,
0.005723184440284967,
0.008134965784847736,
-0.03253661468625069,
-0.03895223140716553,
0.018187332898378372,
0.08641133457422256,
-0.06333781778812408,
0.02894618920981884,
-0.00671766884624958,
-0.021882642060518265,
-0.032668162137269974,
0.006861257832497358,
-0.03857598826289177,
0.008167942985892296,
-0.029390446841716766,
-0.050656236708164215,
-0.00876742135733366,
-0.011822869069874287,
0.09364829212427139,
0.06681293249130249,
0.06169765070080757,
0.05619360879063606,
-0.07188675552606583,
0.04353581368923187,
0.0033045224845409393,
0.01813274808228016,
1.6451475066589856e-33,
0.028418824076652527,
0.023972759023308754,
-0.06452451646327972,
0.04865337908267975,
-0.04105309396982193,
-0.03180856257677078,
0.022834038361907005,
0.06035410612821579,
0.032259806990623474,
0.02936822921037674,
0.01615085080265999,
0.03223662078380585,
-0.06353311240673065,
-0.044380124658346176,
0.15152883529663086,
0.1078980565071106,
-0.03455978259444237,
0.10942146927118301,
-0.09560441225767136,
-0.001450885203666985,
-0.04410756751894951,
-0.15047350525856018,
0.006557864602655172,
0.008742195554077625,
0.07962734997272491,
-0.05595731735229492,
0.006819522939622402,
0.05118593946099281,
-0.018506396561861038,
0.0049640461802482605,
0.021703511476516724,
0.040262795984745026,
0.028885332867503166,
0.019754912704229355,
-0.018085693940520287,
-0.024215932935476303,
-0.08530926704406738,
0.007017255295068026,
-0.004775961861014366,
0.01721721887588501,
-0.08066060394048691,
-0.03481704741716385,
0.027889523655176163,
0.00588926300406456,
0.06435518711805344,
-0.003878690069541335,
-0.01579355075955391,
-0.0772671326994896,
-0.0261601060628891,
-0.06626742333173752,
-0.00886357482522726,
-0.019671257585287094,
0.11289733648300171,
0.02955961786210537,
-0.09006350487470627,
0.07058646529912949,
0.07129435986280441,
-0.06692656874656677,
0.011721821501851082,
0.10253795236349106,
-0.10937859117984772,
0.03205142915248871,
0.046923402696847916,
-0.031767088919878006,
-0.04724913835525513,
-0.0016126255504786968,
0.06948558241128922,
0.003819166449829936,
0.033427052199840546,
0.02298749051988125,
-0.032135266810655594,
-0.05003873631358147,
-0.05969463288784027,
0.04775330051779747,
0.012818057090044022,
-0.03879574313759804,
0.029366880655288696,
-0.03439227119088173,
0.013119114562869072,
-0.06632257997989655,
-0.007304692640900612,
-0.018493710085749626,
0.0623757466673851,
-0.08053753525018692,
-0.04634397104382515,
-0.00617317296564579,
0.032372988760471344,
-0.007533765863627195,
-0.08238716423511505,
-0.006155277602374554,
-0.050399478524923325,
0.05743321776390076,
-0.05308183282613754,
0.02205163612961769,
0.043067816644907,
-3.6333204279352385e-33,
-0.0628763884305954,
-0.04856894537806511,
0.06454214453697205,
0.08285023272037506,
-0.045955393463373184,
-0.04458329826593399,
-0.05889436975121498,
-0.013278060592710972,
0.038118235766887665,
-0.00747445784509182,
-0.07650269567966461,
-0.07547621428966522,
-0.02236870862543583,
0.011093098670244217,
-0.09331629425287247,
0.07591520249843597,
-0.07308264821767807,
-0.038132261484861374,
0.046473827213048935,
0.047622088342905045,
0.10947400331497192,
0.0453236922621727,
-0.03621961176395416,
-0.03273271024227142,
-0.09071488678455353,
0.012991756200790405,
-0.010558598674833775,
-0.08330640941858292,
0.042915958911180496,
-0.05715058743953705,
0.03570374473929405,
0.034853167831897736,
-0.07372622191905975,
0.10136507451534271,
0.08228573203086853,
-0.08909840881824493,
0.07868974655866623,
-0.06104136258363724,
0.033477894961833954,
0.08790486305952072,
0.10743030905723572,
0.07688672095537186,
-0.010219079442322254,
0.014657114632427692,
-0.017172884196043015,
-0.044037435203790665,
0.06284859031438828,
-0.049978144466876984,
0.004002286121249199,
-0.07715405523777008,
-0.01505934540182352,
0.030760515481233597,
0.022852491587400436,
0.00195926777087152,
-0.0044214422814548016,
0.08313871175050735,
-0.01299478579312563,
0.006834403611719608,
0.00525461882352829,
0.07448167353868484,
-0.011630329303443432,
0.003678195411339402,
0.04711899906396866,
-0.0015003182925283909,
-0.038854263722896576,
-0.0058545623905956745,
0.11951060593128204,
0.01822282187640667,
-0.028198665007948875,
0.012714959681034088,
-0.0044067925773561,
-0.003565598279237747,
-0.09212049096822739,
-0.07941699028015137,
-0.03539668023586273,
0.016332514584064484,
-0.0005394376930780709,
-0.07660660147666931,
-0.03929226100444794,
-0.02957128919661045,
0.023576347157359123,
-0.026369182392954826,
-0.010758643969893456,
0.056396208703517914,
-0.02791535295546055,
0.0692724660038948,
0.03988567367196083,
0.037427015602588654,
0.03948529064655304,
-0.02815920300781727,
-0.10080628842115402,
0.07373416423797607,
-0.08291767537593842,
-0.0794231966137886,
-0.04364675655961037,
-4.8343405723016986e-8,
-0.02088412642478943,
-0.009067787788808346,
-0.003314186818897724,
0.010223345831036568,
-0.0168536938726902,
-0.013943701982498169,
-0.09577365219593048,
0.121016725897789,
-0.03368201479315758,
0.041880473494529724,
-0.04296306520700455,
-0.02938941866159439,
-0.14048248529434204,
0.07137648016214371,
0.022780897095799446,
-0.010693928226828575,
-0.019316937774419785,
0.08521603792905807,
-0.056234996765851974,
0.02051360160112381,
0.015854237601161003,
0.0742429867386818,
0.08482630550861359,
-0.008885152637958527,
-0.07376620918512344,
-0.10517902672290802,
0.045737374573946,
0.10241325199604034,
0.03612390160560608,
-0.034041497856378555,
0.12295854836702347,
0.021069077774882317,
0.08688856661319733,
-0.03912728652358055,
0.020018024370074272,
-0.04459255933761597,
0.02583412453532219,
0.03287958726286888,
0.0027725340332835913,
0.0361444428563118,
-0.016510354354977608,
0.03263237327337265,
0.0376751683652401,
0.049228642135858536,
-0.04922572523355484,
-0.06104479730129242,
-0.04745553806424141,
-0.002300188411027193,
-0.02247525379061699,
-0.08720459789037704,
0.06247355416417122,
-0.04971504211425781,
-0.06669756025075912,
0.043129269033670425,
-0.029704978689551353,
0.05136755108833313,
0.00296477391384542,
0.012590487487614155,
0.0649944394826889,
0.008884837850928307,
0.02781769074499607,
0.019352266564965248,
0.029520487412810326,
0.008507505059242249
] |
1401.7765
|
Goulc'hen Loas
|
Goulc'hen Loas, Mehdi Alouini, and Marc Vallet
|
Optical fiber Sagnac interferometer for sensing scalar directional
refraction: application to magnetochiral birefringence
|
17 pages, 8 figures
| null |
10.1063/1.4871988
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a set-up dedicated to the measurement of the small scalar
directional anisotropies associated to the magnetochiral interaction. The
apparatus, based on a polarization-independent fiber Sagnac interferometer, is
optimized to be insensitive to circular anisotropies and to residual
absorption. It can thus characterize samples of biological interests, for which
the two enantiomers are not available and/or which present poor transmission.
The signal-to-noise ratio is shown to be limited only by the source intensity
noise, leading to a detection limit of Df = 500 nrad.Hz-1/2. It yields a limit
on the magnetochiral index nMC < 4 10-13 T-1 at 1550 nm for the organic
molecules tested.
|
[
{
"created": "Thu, 30 Jan 2014 08:59:09 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Loas",
"Goulc'hen",
""
],
[
"Alouini",
"Mehdi",
""
],
[
"Vallet",
"Marc",
""
]
] |
[
-0.019324688240885735,
-0.1167144775390625,
-0.03203552961349487,
-0.027075424790382385,
0.09756509214639664,
0.014928155578672886,
-0.045932359993457794,
0.00487616378813982,
-0.005664497148245573,
0.007540468126535416,
0.004926576744765043,
-0.009739809669554234,
-0.027201339602470398,
0.001952059450559318,
-0.0652436688542366,
0.0025203339755535126,
0.011458705179393291,
0.024810893461108208,
0.02706940844655037,
0.06174122914671898,
-0.04431864246726036,
-0.036803487688302994,
-0.008382830768823624,
-0.0013468944234773517,
-0.03822478652000427,
-0.004876708146184683,
0.010731411166489124,
0.03833829239010811,
-0.06575345247983932,
-0.0026223361492156982,
0.09770653396844864,
0.028690312057733536,
-0.01844196580350399,
0.006910425145179033,
-0.008207768201828003,
-0.019713692367076874,
0.026644369587302208,
-0.07773037999868393,
0.03908279910683632,
-0.0273257065564394,
0.0529516376554966,
-0.061888474971055984,
0.03773314878344536,
-0.05163852497935295,
-0.008418785408139229,
-0.06943792849779129,
0.03322688862681389,
-0.06333411484956741,
0.03740580007433891,
0.001516659394837916,
-0.010036331601440907,
0.02193859964609146,
-0.059892766177654266,
-0.014282547868788242,
-0.025420010089874268,
0.10123659670352936,
-0.026447106152772903,
-0.04856235906481743,
-0.08052477985620499,
0.01744835078716278,
0.0858469232916832,
-0.015977028757333755,
-0.06474511325359344,
0.005059023853391409,
-0.022716201841831207,
-0.00084045430412516,
0.0907542034983635,
0.011715583503246307,
0.035226404666900635,
-0.04935513809323311,
-0.031468674540519714,
-0.030546432361006737,
-0.03779320418834686,
0.052673228085041046,
0.017136694863438606,
0.0866018608212471,
-0.008616743609309196,
0.014907161705195904,
0.05960703268647194,
-0.03593278303742409,
-0.05527812987565994,
-0.0027019381523132324,
0.06021973118185997,
-0.0003230389265809208,
0.02976858988404274,
0.02119356021285057,
0.05282312631607056,
0.034865736961364746,
-0.04772346839308739,
0.030408721417188644,
0.016416413709521294,
0.011110429652035236,
-0.13893471658229828,
-0.0058205523528158665,
0.017880696803331375,
-0.01061110571026802,
0.04635962098836899,
0.025601869449019432,
0.02786729857325554,
0.00155403942335397,
0.04200522229075432,
-0.026279691606760025,
-0.1280762404203415,
-0.0205061212182045,
-0.03229273110628128,
0.032103531062603,
0.09978695958852768,
-0.02691039815545082,
-0.0027536307461559772,
0.054822586476802826,
-0.04531017318367958,
0.038813069462776184,
0.04890967905521393,
-0.0697280690073967,
0.0065071554854512215,
0.0659208744764328,
0.06875099241733551,
0.07481084764003754,
0.045118510723114014,
0.024281678721308708,
-0.025311561301350594,
0.020550986751914024,
-0.0033580802846699953,
0.045822594314813614,
0.018977465108036995,
0.034669484943151474,
0.025196516886353493,
8.555224926410569e-34,
0.03350032866001129,
0.011357440613210201,
0.08519050478935242,
0.05874957516789436,
-0.10239958763122559,
0.0401582308113575,
-0.04323618486523628,
-0.05257723852992058,
-0.044649895280599594,
0.03981143236160278,
-0.026587678119540215,
0.08789356052875519,
-0.053141601383686066,
-0.03260606527328491,
-0.02635420486330986,
0.011958219110965729,
-0.04867568984627724,
0.04250055178999901,
0.003053199267014861,
-0.05722472444176674,
-0.056012578308582306,
0.038335490971803665,
-0.013687393628060818,
0.035512540489435196,
-0.00033212912967428565,
-0.025681834667921066,
-0.06992687284946442,
-0.0021803774870932102,
0.007375869434326887,
0.004249056801199913,
0.03666054457426071,
0.020031504333019257,
-0.058547936379909515,
-0.018842119723558426,
0.02784452959895134,
-0.0327424518764019,
-0.012356368824839592,
0.048569001257419586,
-0.000018122462279279716,
0.012566841207444668,
0.0921800434589386,
-0.042871035635471344,
0.10941225290298462,
-0.04079116880893707,
-0.006167491897940636,
0.04017487168312073,
-0.0680081695318222,
-0.06664832681417465,
0.05010150372982025,
0.0035729017108678818,
0.013142961077392101,
-0.12715107202529907,
-0.02831762656569481,
0.030807219445705414,
-0.001657268381677568,
-0.04823685064911842,
-0.03035832569003105,
0.024094292894005775,
0.005018063820898533,
0.022940894588828087,
-0.040996767580509186,
0.004987494088709354,
0.09582756459712982,
-0.03207690268754959,
0.07701711356639862,
-0.010479911230504513,
-0.10713320970535278,
0.03078714944422245,
-0.01836635358631611,
0.02079332061111927,
0.025637993589043617,
0.05232907831668854,
0.015371322631835938,
-0.039352647960186005,
0.050089720636606216,
0.04055853188037872,
-0.13128186762332916,
-0.046353779733181,
0.08669210970401764,
-0.018831534311175346,
-0.04037522152066231,
0.014308984391391277,
0.04460477456450462,
-0.0045444355346262455,
-0.11999110132455826,
0.05087849497795105,
-0.0687856525182724,
-0.0533682145178318,
0.0035190186463296413,
-0.02836991660296917,
0.024059630930423737,
0.08393469452857971,
-0.0031860368326306343,
-0.0507780984044075,
-0.06901393085718155,
-4.107945373862938e-33,
-0.02574324980378151,
-0.061248455196619034,
0.038901131600141525,
0.02185468003153801,
-0.07698965072631836,
0.05885270982980728,
0.10386129468679428,
0.04977908730506897,
0.01675090752542019,
0.028564728796482086,
0.1366451531648636,
-0.005543026141822338,
0.00810573436319828,
-0.10496164113283157,
-0.019659535959362984,
0.012164764106273651,
-0.036012355238199234,
0.004160506650805473,
0.12091003358364105,
0.07444418221712112,
-0.056922197341918945,
-0.015943143516778946,
0.12622816860675812,
0.033251143991947174,
0.013892196118831635,
0.06604946404695511,
0.04632510989904404,
-0.025368966162204742,
-0.0244255643337965,
0.04148207604885101,
0.05658859759569168,
0.019348977133631706,
-0.018147999420762062,
-0.03848050907254219,
0.037685710936784744,
0.05065002664923668,
-0.05514581874012947,
-0.07113117724657059,
-0.040807005017995834,
0.009807872585952282,
-0.055431123822927475,
0.09752657264471054,
-0.023093819618225098,
-0.02046462893486023,
0.028516996651887894,
-0.03174471855163574,
-0.05000805854797363,
-0.004048650152981281,
0.017737453803420067,
-0.04574046656489372,
0.008338380604982376,
0.06387694180011749,
0.004076706245541573,
-0.015398400835692883,
-0.007374565117061138,
0.03111308068037033,
-0.026981083676218987,
-0.024899763986468315,
0.09582822024822235,
0.06768397241830826,
-0.06482219696044922,
0.030020788311958313,
-0.09699998795986176,
-0.08171571791172028,
-0.016556672751903534,
0.09403842687606812,
0.07222691178321838,
0.017252251505851746,
0.09566265344619751,
-0.07418572902679443,
0.11434056609869003,
0.0760546550154686,
0.05590684711933136,
0.02085958793759346,
0.037540171295404434,
-0.010620527900755405,
0.07504510879516602,
-0.08841222524642944,
-0.12536542117595673,
-0.002631539711728692,
-0.019538771361112595,
0.03488215059041977,
-0.03904908150434494,
-0.0738595500588417,
0.0005599111318588257,
-0.05857362225651741,
-0.007188925053924322,
-0.0993371531367302,
0.004935507196933031,
0.007729831617325544,
0.05171849578619003,
0.0655326396226883,
0.01084696501493454,
-0.024610577151179314,
0.06255659461021423,
-5.147180459630363e-8,
0.06999750435352325,
-0.024258315563201904,
-0.0024292070884257555,
-0.047022368758916855,
-0.0604560449719429,
0.02214793488383293,
-0.027907932177186012,
-0.06230729818344116,
0.04630232974886894,
-0.030665790662169456,
0.0609365813434124,
-0.01011829823255539,
-0.011685101315379143,
0.038413964211940765,
0.11652616411447525,
-0.03936191648244858,
-0.01996307633817196,
-0.03480561450123787,
-0.016342423856258392,
0.024682942777872086,
0.0016408127266913652,
-0.004261228255927563,
-0.09785696864128113,
-0.054430652409791946,
0.05533691868185997,
0.016862746328115463,
-0.033540308475494385,
0.01338694617152214,
0.012973719276487827,
0.012299763038754463,
0.07884682714939117,
-0.02415679208934307,
0.015886222943663597,
0.13814596831798553,
-0.0649772509932518,
0.05675957351922989,
-0.07367145270109177,
-0.011506696231663227,
-0.0826457068324089,
-0.019552044570446014,
-0.10994789004325867,
-0.04355030506849289,
-0.10091292858123779,
-0.05392709746956825,
-0.03681911155581474,
-0.0697145089507103,
0.04731305316090584,
0.0455487035214901,
-0.003110474906861782,
0.012580198235809803,
-0.01682506501674652,
-0.002605021931231022,
0.0012988324742764235,
-0.024563215672969818,
0.01064227893948555,
-0.04797350615262985,
-0.03131980448961258,
0.06363049149513245,
-0.035467442125082016,
-0.06736944615840912,
-0.026395978406071663,
-0.029556117951869965,
-0.11566430330276489,
-0.05941533297300339
] | null | null | null | null | null | null | null |
[
-0.019324688240885735,
-0.1167144775390625,
-0.03203552961349487,
-0.027075424790382385,
0.09756509214639664,
0.014928155578672886,
-0.045932359993457794,
0.00487616378813982,
-0.005664497148245573,
0.007540468126535416,
0.004926576744765043,
-0.009739809669554234,
-0.027201339602470398,
0.001952059450559318,
-0.0652436688542366,
0.0025203339755535126,
0.011458705179393291,
0.024810893461108208,
0.02706940844655037,
0.06174122914671898,
-0.04431864246726036,
-0.036803487688302994,
-0.008382830768823624,
-0.0013468944234773517,
-0.03822478652000427,
-0.004876708146184683,
0.010731411166489124,
0.03833829239010811,
-0.06575345247983932,
-0.0026223361492156982,
0.09770653396844864,
0.028690312057733536,
-0.01844196580350399,
0.006910425145179033,
-0.008207768201828003,
-0.019713692367076874,
0.026644369587302208,
-0.07773037999868393,
0.03908279910683632,
-0.0273257065564394,
0.0529516376554966,
-0.061888474971055984,
0.03773314878344536,
-0.05163852497935295,
-0.008418785408139229,
-0.06943792849779129,
0.03322688862681389,
-0.06333411484956741,
0.03740580007433891,
0.001516659394837916,
-0.010036331601440907,
0.02193859964609146,
-0.059892766177654266,
-0.014282547868788242,
-0.025420010089874268,
0.10123659670352936,
-0.026447106152772903,
-0.04856235906481743,
-0.08052477985620499,
0.01744835078716278,
0.0858469232916832,
-0.015977028757333755,
-0.06474511325359344,
0.005059023853391409,
-0.022716201841831207,
-0.00084045430412516,
0.0907542034983635,
0.011715583503246307,
0.035226404666900635,
-0.04935513809323311,
-0.031468674540519714,
-0.030546432361006737,
-0.03779320418834686,
0.052673228085041046,
0.017136694863438606,
0.0866018608212471,
-0.008616743609309196,
0.014907161705195904,
0.05960703268647194,
-0.03593278303742409,
-0.05527812987565994,
-0.0027019381523132324,
0.06021973118185997,
-0.0003230389265809208,
0.02976858988404274,
0.02119356021285057,
0.05282312631607056,
0.034865736961364746,
-0.04772346839308739,
0.030408721417188644,
0.016416413709521294,
0.011110429652035236,
-0.13893471658229828,
-0.0058205523528158665,
0.017880696803331375,
-0.01061110571026802,
0.04635962098836899,
0.025601869449019432,
0.02786729857325554,
0.00155403942335397,
0.04200522229075432,
-0.026279691606760025,
-0.1280762404203415,
-0.0205061212182045,
-0.03229273110628128,
0.032103531062603,
0.09978695958852768,
-0.02691039815545082,
-0.0027536307461559772,
0.054822586476802826,
-0.04531017318367958,
0.038813069462776184,
0.04890967905521393,
-0.0697280690073967,
0.0065071554854512215,
0.0659208744764328,
0.06875099241733551,
0.07481084764003754,
0.045118510723114014,
0.024281678721308708,
-0.025311561301350594,
0.020550986751914024,
-0.0033580802846699953,
0.045822594314813614,
0.018977465108036995,
0.034669484943151474,
0.025196516886353493,
8.555224926410569e-34,
0.03350032866001129,
0.011357440613210201,
0.08519050478935242,
0.05874957516789436,
-0.10239958763122559,
0.0401582308113575,
-0.04323618486523628,
-0.05257723852992058,
-0.044649895280599594,
0.03981143236160278,
-0.026587678119540215,
0.08789356052875519,
-0.053141601383686066,
-0.03260606527328491,
-0.02635420486330986,
0.011958219110965729,
-0.04867568984627724,
0.04250055178999901,
0.003053199267014861,
-0.05722472444176674,
-0.056012578308582306,
0.038335490971803665,
-0.013687393628060818,
0.035512540489435196,
-0.00033212912967428565,
-0.025681834667921066,
-0.06992687284946442,
-0.0021803774870932102,
0.007375869434326887,
0.004249056801199913,
0.03666054457426071,
0.020031504333019257,
-0.058547936379909515,
-0.018842119723558426,
0.02784452959895134,
-0.0327424518764019,
-0.012356368824839592,
0.048569001257419586,
-0.000018122462279279716,
0.012566841207444668,
0.0921800434589386,
-0.042871035635471344,
0.10941225290298462,
-0.04079116880893707,
-0.006167491897940636,
0.04017487168312073,
-0.0680081695318222,
-0.06664832681417465,
0.05010150372982025,
0.0035729017108678818,
0.013142961077392101,
-0.12715107202529907,
-0.02831762656569481,
0.030807219445705414,
-0.001657268381677568,
-0.04823685064911842,
-0.03035832569003105,
0.024094292894005775,
0.005018063820898533,
0.022940894588828087,
-0.040996767580509186,
0.004987494088709354,
0.09582756459712982,
-0.03207690268754959,
0.07701711356639862,
-0.010479911230504513,
-0.10713320970535278,
0.03078714944422245,
-0.01836635358631611,
0.02079332061111927,
0.025637993589043617,
0.05232907831668854,
0.015371322631835938,
-0.039352647960186005,
0.050089720636606216,
0.04055853188037872,
-0.13128186762332916,
-0.046353779733181,
0.08669210970401764,
-0.018831534311175346,
-0.04037522152066231,
0.014308984391391277,
0.04460477456450462,
-0.0045444355346262455,
-0.11999110132455826,
0.05087849497795105,
-0.0687856525182724,
-0.0533682145178318,
0.0035190186463296413,
-0.02836991660296917,
0.024059630930423737,
0.08393469452857971,
-0.0031860368326306343,
-0.0507780984044075,
-0.06901393085718155,
-4.107945373862938e-33,
-0.02574324980378151,
-0.061248455196619034,
0.038901131600141525,
0.02185468003153801,
-0.07698965072631836,
0.05885270982980728,
0.10386129468679428,
0.04977908730506897,
0.01675090752542019,
0.028564728796482086,
0.1366451531648636,
-0.005543026141822338,
0.00810573436319828,
-0.10496164113283157,
-0.019659535959362984,
0.012164764106273651,
-0.036012355238199234,
0.004160506650805473,
0.12091003358364105,
0.07444418221712112,
-0.056922197341918945,
-0.015943143516778946,
0.12622816860675812,
0.033251143991947174,
0.013892196118831635,
0.06604946404695511,
0.04632510989904404,
-0.025368966162204742,
-0.0244255643337965,
0.04148207604885101,
0.05658859759569168,
0.019348977133631706,
-0.018147999420762062,
-0.03848050907254219,
0.037685710936784744,
0.05065002664923668,
-0.05514581874012947,
-0.07113117724657059,
-0.040807005017995834,
0.009807872585952282,
-0.055431123822927475,
0.09752657264471054,
-0.023093819618225098,
-0.02046462893486023,
0.028516996651887894,
-0.03174471855163574,
-0.05000805854797363,
-0.004048650152981281,
0.017737453803420067,
-0.04574046656489372,
0.008338380604982376,
0.06387694180011749,
0.004076706245541573,
-0.015398400835692883,
-0.007374565117061138,
0.03111308068037033,
-0.026981083676218987,
-0.024899763986468315,
0.09582822024822235,
0.06768397241830826,
-0.06482219696044922,
0.030020788311958313,
-0.09699998795986176,
-0.08171571791172028,
-0.016556672751903534,
0.09403842687606812,
0.07222691178321838,
0.017252251505851746,
0.09566265344619751,
-0.07418572902679443,
0.11434056609869003,
0.0760546550154686,
0.05590684711933136,
0.02085958793759346,
0.037540171295404434,
-0.010620527900755405,
0.07504510879516602,
-0.08841222524642944,
-0.12536542117595673,
-0.002631539711728692,
-0.019538771361112595,
0.03488215059041977,
-0.03904908150434494,
-0.0738595500588417,
0.0005599111318588257,
-0.05857362225651741,
-0.007188925053924322,
-0.0993371531367302,
0.004935507196933031,
0.007729831617325544,
0.05171849578619003,
0.0655326396226883,
0.01084696501493454,
-0.024610577151179314,
0.06255659461021423,
-5.147180459630363e-8,
0.06999750435352325,
-0.024258315563201904,
-0.0024292070884257555,
-0.047022368758916855,
-0.0604560449719429,
0.02214793488383293,
-0.027907932177186012,
-0.06230729818344116,
0.04630232974886894,
-0.030665790662169456,
0.0609365813434124,
-0.01011829823255539,
-0.011685101315379143,
0.038413964211940765,
0.11652616411447525,
-0.03936191648244858,
-0.01996307633817196,
-0.03480561450123787,
-0.016342423856258392,
0.024682942777872086,
0.0016408127266913652,
-0.004261228255927563,
-0.09785696864128113,
-0.054430652409791946,
0.05533691868185997,
0.016862746328115463,
-0.033540308475494385,
0.01338694617152214,
0.012973719276487827,
0.012299763038754463,
0.07884682714939117,
-0.02415679208934307,
0.015886222943663597,
0.13814596831798553,
-0.0649772509932518,
0.05675957351922989,
-0.07367145270109177,
-0.011506696231663227,
-0.0826457068324089,
-0.019552044570446014,
-0.10994789004325867,
-0.04355030506849289,
-0.10091292858123779,
-0.05392709746956825,
-0.03681911155581474,
-0.0697145089507103,
0.04731305316090584,
0.0455487035214901,
-0.003110474906861782,
0.012580198235809803,
-0.01682506501674652,
-0.002605021931231022,
0.0012988324742764235,
-0.024563215672969818,
0.01064227893948555,
-0.04797350615262985,
-0.03131980448961258,
0.06363049149513245,
-0.035467442125082016,
-0.06736944615840912,
-0.026395978406071663,
-0.029556117951869965,
-0.11566430330276489,
-0.05941533297300339
] |
1401.7772
|
Ahmed Alaa
|
Ahmed M. Alaa, Mahmoud H. Ismail and Hazim Tawfik
|
Spectrum Sensing Via Reconfigurable Antennas: Is Cooperation of
Secondary Users Indispensable?
|
Accepted for IEEE WCNC 2014
| null |
10.1109/WCNC.2014.6952239
| null |
cs.NI cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work presents an analytical framework for characterizing the performance
of cooperative and noncooperative spectrum sensing schemes by figuring out the
tradeoff between the achieved diversity and coding gains in each scheme. Based
on this analysis, we try to answer the fundamental question: can we dispense
with SUs cooperation and still achieve an arbitrary diversity gain? It is shown
that this is indeed possible via a novel technique that can offer diversity
gain for a single SU using a single antenna. The technique is based on the
usage of a reconfigurable antenna that changes its propagation characteristics
over time, thus creating an artificial temporal diversity. It is shown that the
usage of reconfigurable antennas outperforms cooperative as well as
non-cooperative schemes at low and high Signal-to-Noise Ratios (SNRs).
Moreover, if the channel state information is available at the SU, an
additional SNR gain can also be achieved.
|
[
{
"created": "Thu, 30 Jan 2014 09:18:40 GMT",
"version": "v1"
}
] |
2016-11-15
|
[
[
"Alaa",
"Ahmed M.",
""
],
[
"Ismail",
"Mahmoud H.",
""
],
[
"Tawfik",
"Hazim",
""
]
] |
[
-0.03650679811835289,
-0.0394001230597496,
-0.09671513736248016,
-0.01608230732381344,
0.012103480286896229,
0.032647375017404556,
0.02993057668209076,
-0.1154915913939476,
-0.008725515566766262,
-0.009815940633416176,
-0.06916435062885284,
0.06030689552426338,
0.02754519134759903,
0.0002483343705534935,
0.002999176736921072,
-0.0346800833940506,
0.08572336286306381,
-0.0068086846731603146,
0.01661590300500393,
-0.009145778603851795,
0.005951052997261286,
-0.029256543144583702,
-0.05116911605000496,
0.013381377793848515,
0.08738644421100616,
-0.0714300125837326,
0.02231534942984581,
-0.03289288654923439,
-0.040997378528118134,
0.030506789684295654,
0.06374198943376541,
-0.014240427874028683,
-0.00237073702737689,
-0.1078132763504982,
-0.08566679805517197,
0.04692738503217697,
-0.041881248354911804,
-0.042697079479694366,
0.020471494644880295,
0.07428088039159775,
-0.040615905076265335,
0.07603873312473297,
-0.08628469705581665,
0.009596680290997028,
-0.09361972659826279,
-0.10296062380075455,
0.025162814185023308,
-0.028699209913611412,
0.03375457599759102,
-0.038140978664159775,
0.0813220962882042,
0.04516737535595894,
-0.025299150496721268,
0.011528822593390942,
0.06314970552921295,
0.01226796768605709,
-0.11611823737621307,
0.02839534915983677,
-0.04543659836053848,
-0.04753609746694565,
0.026010029017925262,
0.014286020770668983,
0.037089768797159195,
-0.003878403687849641,
0.008056899532675743,
0.014202877879142761,
0.03354800119996071,
0.07416804879903793,
0.03226473927497864,
-0.04900102689862251,
-0.057155150920152664,
0.0006592305726371706,
0.08595056086778641,
0.006967255845665932,
0.12507414817810059,
0.0900721549987793,
0.04586693271994591,
0.013422531075775623,
0.06797027587890625,
0.026446843519806862,
-0.02173691801726818,
0.11348097026348114,
-0.09866087138652802,
-0.024764826521277428,
0.0969868153333664,
-0.007978151552379131,
-0.06303416937589645,
0.05172593519091606,
0.022154424339532852,
-0.06536939740180969,
-0.10498553514480591,
0.005888091400265694,
-0.04806862026453018,
0.02035568654537201,
-0.06826933473348618,
0.02169729955494404,
-0.039502620697021484,
0.014020307920873165,
-0.038684260100126266,
0.08107906579971313,
0.005286125931888819,
-0.0015586293302476406,
0.0238899365067482,
-0.0463821142911911,
-0.06173432618379593,
-0.04503631591796875,
0.022510400041937828,
0.008537505753338337,
0.031276874244213104,
0.022433603182435036,
0.03173711895942688,
-0.02664044313132763,
-0.020161109045147896,
0.0278313085436821,
-0.07165167480707169,
0.08582036197185516,
0.039489634335041046,
0.041014689952135086,
0.005430664401501417,
0.0023399456404149532,
-0.014442523010075092,
-0.11586533486843109,
0.012076493352651596,
0.03589863330125809,
0.09217920154333115,
0.10309498757123947,
-0.022997841238975525,
2.2456976522605072e-33,
-0.09002454578876495,
0.026540562510490417,
-0.005130442325025797,
0.051084477454423904,
0.021266842260956764,
-0.00061859714332968,
-0.06166018545627594,
0.01971506141126156,
-0.04598710685968399,
0.04623832926154137,
0.01654796674847603,
0.07545383274555206,
-0.015395088121294975,
0.000596452213358134,
0.07568301260471344,
-0.0588020458817482,
-0.03485582396388054,
-0.013000303879380226,
0.04620227590203285,
-0.08900083601474762,
0.002613624557852745,
0.03647724539041519,
-0.013687564060091972,
-0.06505102664232254,
-0.0051222313195466995,
-0.07396722584962845,
0.01972958818078041,
-0.018615206703543663,
0.006535338703542948,
0.02135436423122883,
0.03916483744978905,
0.025257457047700882,
0.014034985564649105,
0.024241570383310318,
0.035919517278671265,
-0.013727526180446148,
0.009773539379239082,
0.020607320591807365,
-0.014049394056200981,
0.051568564027547836,
0.07863470166921616,
-0.02093021757900715,
-0.05417449399828911,
-0.046630486845970154,
0.08694396167993546,
-0.08719020336866379,
0.028676912188529968,
0.04386189579963684,
-0.041746560484170914,
-0.021439649164676666,
-0.010729656554758549,
-0.023897724226117134,
-0.057152159512043,
0.04545344412326813,
0.10400328040122986,
0.024497052654623985,
-0.04492634907364845,
0.06120401993393898,
0.0569077767431736,
0.020186083391308784,
-0.09181754291057587,
-0.06866974383592606,
-0.012859105132520199,
-0.009549540467560291,
0.0191615242511034,
0.05021616443991661,
-0.01939869113266468,
0.044435929507017136,
0.007821382954716682,
0.04783675819635391,
0.053982462733983994,
0.05854023993015289,
-0.050769101828336716,
-0.02757520042359829,
-0.0005850799498148263,
-0.014340173453092575,
0.0959773063659668,
0.0661366879940033,
0.07246288657188416,
0.051970046013593674,
-0.043448396027088165,
-0.0071274833753705025,
-0.04828295856714249,
0.07802367955446243,
-0.028131769970059395,
0.04007713869214058,
0.003797065932303667,
0.006410603877156973,
0.018808972090482712,
0.03438928723335266,
-0.0633017048239708,
0.09476269781589508,
0.03819815069437027,
-0.06970908492803574,
-0.004092568065971136,
-2.7382604583107625e-33,
-0.0317218080163002,
0.0704633891582489,
0.007649605628103018,
-0.110617995262146,
0.010118025355041027,
-0.00501564284786582,
-0.03117399848997593,
0.013195660896599293,
-0.07329178601503372,
-0.007273816037923098,
-0.07348067313432693,
-0.06637629121541977,
0.06829963624477386,
0.03736316040158272,
-0.061310723423957825,
0.044132497161626816,
0.02177928388118744,
0.007451546844094992,
0.011438648216426373,
-0.01928487792611122,
0.08796042948961258,
0.0574432909488678,
0.047270338982343674,
-0.02793705463409424,
0.02616429701447487,
0.022126415744423866,
-0.05771048739552498,
0.13330726325511932,
0.004199953284114599,
-0.005419327411800623,
-0.006850250065326691,
-0.029916564002633095,
-0.020623233169317245,
-0.07029709219932556,
0.04527895525097847,
-0.0028443222399801016,
-0.03205130621790886,
0.04134726524353027,
-0.05378285050392151,
0.11194442212581635,
0.02320578321814537,
-0.010313342325389385,
0.040437038987874985,
0.03045421652495861,
0.04816724732518196,
-0.06215985491871834,
-0.027234725654125214,
0.03132709115743637,
0.004735258407890797,
-0.03693637624382973,
0.07536717504262924,
-0.06852368265390396,
-0.010309278964996338,
-0.0013419665629044175,
-0.03786354139447212,
-0.01031691487878561,
0.07600607722997665,
0.05283670872449875,
-0.0046852086670696735,
0.04293566197156906,
0.008269422687590122,
-0.05634041875600815,
-0.05989828705787659,
0.09584811329841614,
0.037926748394966125,
-0.0024881521239876747,
0.0291772298514843,
-0.02411208115518093,
0.0003328978200443089,
0.06880579143762589,
0.016704954206943512,
-0.06115608289837837,
-0.03802735358476639,
-0.06661780923604965,
0.0954541265964508,
0.015939850360155106,
-0.06453054398298264,
-0.00093223643489182,
-0.05605720728635788,
0.023293737322092056,
-0.03873560205101967,
0.022847117856144905,
-0.016022779047489166,
-0.017122862860560417,
0.07916069775819778,
0.06880469620227814,
-0.0934150367975235,
-0.015941491350531578,
-0.009286023676395416,
-0.020946165546774864,
-0.0034171664156019688,
0.043786048889160156,
0.0021944688633084297,
0.028552714735269547,
0.09507239609956741,
-5.255987645114146e-8,
-0.0555068664252758,
0.061208948493003845,
0.00040179930510930717,
-0.030432963743805885,
-0.010932325385510921,
-0.04916898533701897,
-0.007646837737411261,
-0.15551455318927765,
0.04011474549770355,
-0.06566903740167618,
0.01559483353048563,
-0.08163660019636154,
-0.050445556640625,
0.09963171929121017,
0.07058656960725784,
-0.014516081660985947,
-0.0756235122680664,
-0.10686670988798141,
0.01993553340435028,
-0.011218802072107792,
-0.03955964744091034,
-0.006776717025786638,
0.010120321065187454,
0.044585227966308594,
-0.061152778565883636,
0.04028648883104324,
0.018419815227389336,
-0.04374823719263077,
0.004322775173932314,
0.06634373217821121,
0.028596263378858566,
0.006356236524879932,
0.012312854640185833,
0.04449152946472168,
-0.122013159096241,
-0.012187055312097073,
-0.03631976991891861,
0.03144073858857155,
-0.03818522393703461,
-0.028524817898869514,
-0.003848851192742586,
0.04689711332321167,
-0.07913034409284592,
0.03245460242033005,
-0.10534697026014328,
-0.022986821830272675,
0.06839796900749207,
0.008458000607788563,
-0.019436653703451157,
-0.051834020763635635,
0.06106959283351898,
-0.04177096113562584,
-0.03883085772395134,
-0.07890600711107254,
0.018642904236912727,
-0.026272721588611603,
0.005969285499304533,
-0.09445791691541672,
0.04893340542912483,
0.01579282432794571,
-0.05903361737728119,
0.08073414862155914,
-0.07225867360830307,
-0.03471885621547699
] | null | null | null | null | null | null | null |
[
-0.03650679811835289,
-0.0394001230597496,
-0.09671513736248016,
-0.01608230732381344,
0.012103480286896229,
0.032647375017404556,
0.02993057668209076,
-0.1154915913939476,
-0.008725515566766262,
-0.009815940633416176,
-0.06916435062885284,
0.06030689552426338,
0.02754519134759903,
0.0002483343705534935,
0.002999176736921072,
-0.0346800833940506,
0.08572336286306381,
-0.0068086846731603146,
0.01661590300500393,
-0.009145778603851795,
0.005951052997261286,
-0.029256543144583702,
-0.05116911605000496,
0.013381377793848515,
0.08738644421100616,
-0.0714300125837326,
0.02231534942984581,
-0.03289288654923439,
-0.040997378528118134,
0.030506789684295654,
0.06374198943376541,
-0.014240427874028683,
-0.00237073702737689,
-0.1078132763504982,
-0.08566679805517197,
0.04692738503217697,
-0.041881248354911804,
-0.042697079479694366,
0.020471494644880295,
0.07428088039159775,
-0.040615905076265335,
0.07603873312473297,
-0.08628469705581665,
0.009596680290997028,
-0.09361972659826279,
-0.10296062380075455,
0.025162814185023308,
-0.028699209913611412,
0.03375457599759102,
-0.038140978664159775,
0.0813220962882042,
0.04516737535595894,
-0.025299150496721268,
0.011528822593390942,
0.06314970552921295,
0.01226796768605709,
-0.11611823737621307,
0.02839534915983677,
-0.04543659836053848,
-0.04753609746694565,
0.026010029017925262,
0.014286020770668983,
0.037089768797159195,
-0.003878403687849641,
0.008056899532675743,
0.014202877879142761,
0.03354800119996071,
0.07416804879903793,
0.03226473927497864,
-0.04900102689862251,
-0.057155150920152664,
0.0006592305726371706,
0.08595056086778641,
0.006967255845665932,
0.12507414817810059,
0.0900721549987793,
0.04586693271994591,
0.013422531075775623,
0.06797027587890625,
0.026446843519806862,
-0.02173691801726818,
0.11348097026348114,
-0.09866087138652802,
-0.024764826521277428,
0.0969868153333664,
-0.007978151552379131,
-0.06303416937589645,
0.05172593519091606,
0.022154424339532852,
-0.06536939740180969,
-0.10498553514480591,
0.005888091400265694,
-0.04806862026453018,
0.02035568654537201,
-0.06826933473348618,
0.02169729955494404,
-0.039502620697021484,
0.014020307920873165,
-0.038684260100126266,
0.08107906579971313,
0.005286125931888819,
-0.0015586293302476406,
0.0238899365067482,
-0.0463821142911911,
-0.06173432618379593,
-0.04503631591796875,
0.022510400041937828,
0.008537505753338337,
0.031276874244213104,
0.022433603182435036,
0.03173711895942688,
-0.02664044313132763,
-0.020161109045147896,
0.0278313085436821,
-0.07165167480707169,
0.08582036197185516,
0.039489634335041046,
0.041014689952135086,
0.005430664401501417,
0.0023399456404149532,
-0.014442523010075092,
-0.11586533486843109,
0.012076493352651596,
0.03589863330125809,
0.09217920154333115,
0.10309498757123947,
-0.022997841238975525,
2.2456976522605072e-33,
-0.09002454578876495,
0.026540562510490417,
-0.005130442325025797,
0.051084477454423904,
0.021266842260956764,
-0.00061859714332968,
-0.06166018545627594,
0.01971506141126156,
-0.04598710685968399,
0.04623832926154137,
0.01654796674847603,
0.07545383274555206,
-0.015395088121294975,
0.000596452213358134,
0.07568301260471344,
-0.0588020458817482,
-0.03485582396388054,
-0.013000303879380226,
0.04620227590203285,
-0.08900083601474762,
0.002613624557852745,
0.03647724539041519,
-0.013687564060091972,
-0.06505102664232254,
-0.0051222313195466995,
-0.07396722584962845,
0.01972958818078041,
-0.018615206703543663,
0.006535338703542948,
0.02135436423122883,
0.03916483744978905,
0.025257457047700882,
0.014034985564649105,
0.024241570383310318,
0.035919517278671265,
-0.013727526180446148,
0.009773539379239082,
0.020607320591807365,
-0.014049394056200981,
0.051568564027547836,
0.07863470166921616,
-0.02093021757900715,
-0.05417449399828911,
-0.046630486845970154,
0.08694396167993546,
-0.08719020336866379,
0.028676912188529968,
0.04386189579963684,
-0.041746560484170914,
-0.021439649164676666,
-0.010729656554758549,
-0.023897724226117134,
-0.057152159512043,
0.04545344412326813,
0.10400328040122986,
0.024497052654623985,
-0.04492634907364845,
0.06120401993393898,
0.0569077767431736,
0.020186083391308784,
-0.09181754291057587,
-0.06866974383592606,
-0.012859105132520199,
-0.009549540467560291,
0.0191615242511034,
0.05021616443991661,
-0.01939869113266468,
0.044435929507017136,
0.007821382954716682,
0.04783675819635391,
0.053982462733983994,
0.05854023993015289,
-0.050769101828336716,
-0.02757520042359829,
-0.0005850799498148263,
-0.014340173453092575,
0.0959773063659668,
0.0661366879940033,
0.07246288657188416,
0.051970046013593674,
-0.043448396027088165,
-0.0071274833753705025,
-0.04828295856714249,
0.07802367955446243,
-0.028131769970059395,
0.04007713869214058,
0.003797065932303667,
0.006410603877156973,
0.018808972090482712,
0.03438928723335266,
-0.0633017048239708,
0.09476269781589508,
0.03819815069437027,
-0.06970908492803574,
-0.004092568065971136,
-2.7382604583107625e-33,
-0.0317218080163002,
0.0704633891582489,
0.007649605628103018,
-0.110617995262146,
0.010118025355041027,
-0.00501564284786582,
-0.03117399848997593,
0.013195660896599293,
-0.07329178601503372,
-0.007273816037923098,
-0.07348067313432693,
-0.06637629121541977,
0.06829963624477386,
0.03736316040158272,
-0.061310723423957825,
0.044132497161626816,
0.02177928388118744,
0.007451546844094992,
0.011438648216426373,
-0.01928487792611122,
0.08796042948961258,
0.0574432909488678,
0.047270338982343674,
-0.02793705463409424,
0.02616429701447487,
0.022126415744423866,
-0.05771048739552498,
0.13330726325511932,
0.004199953284114599,
-0.005419327411800623,
-0.006850250065326691,
-0.029916564002633095,
-0.020623233169317245,
-0.07029709219932556,
0.04527895525097847,
-0.0028443222399801016,
-0.03205130621790886,
0.04134726524353027,
-0.05378285050392151,
0.11194442212581635,
0.02320578321814537,
-0.010313342325389385,
0.040437038987874985,
0.03045421652495861,
0.04816724732518196,
-0.06215985491871834,
-0.027234725654125214,
0.03132709115743637,
0.004735258407890797,
-0.03693637624382973,
0.07536717504262924,
-0.06852368265390396,
-0.010309278964996338,
-0.0013419665629044175,
-0.03786354139447212,
-0.01031691487878561,
0.07600607722997665,
0.05283670872449875,
-0.0046852086670696735,
0.04293566197156906,
0.008269422687590122,
-0.05634041875600815,
-0.05989828705787659,
0.09584811329841614,
0.037926748394966125,
-0.0024881521239876747,
0.0291772298514843,
-0.02411208115518093,
0.0003328978200443089,
0.06880579143762589,
0.016704954206943512,
-0.06115608289837837,
-0.03802735358476639,
-0.06661780923604965,
0.0954541265964508,
0.015939850360155106,
-0.06453054398298264,
-0.00093223643489182,
-0.05605720728635788,
0.023293737322092056,
-0.03873560205101967,
0.022847117856144905,
-0.016022779047489166,
-0.017122862860560417,
0.07916069775819778,
0.06880469620227814,
-0.0934150367975235,
-0.015941491350531578,
-0.009286023676395416,
-0.020946165546774864,
-0.0034171664156019688,
0.043786048889160156,
0.0021944688633084297,
0.028552714735269547,
0.09507239609956741,
-5.255987645114146e-8,
-0.0555068664252758,
0.061208948493003845,
0.00040179930510930717,
-0.030432963743805885,
-0.010932325385510921,
-0.04916898533701897,
-0.007646837737411261,
-0.15551455318927765,
0.04011474549770355,
-0.06566903740167618,
0.01559483353048563,
-0.08163660019636154,
-0.050445556640625,
0.09963171929121017,
0.07058656960725784,
-0.014516081660985947,
-0.0756235122680664,
-0.10686670988798141,
0.01993553340435028,
-0.011218802072107792,
-0.03955964744091034,
-0.006776717025786638,
0.010120321065187454,
0.044585227966308594,
-0.061152778565883636,
0.04028648883104324,
0.018419815227389336,
-0.04374823719263077,
0.004322775173932314,
0.06634373217821121,
0.028596263378858566,
0.006356236524879932,
0.012312854640185833,
0.04449152946472168,
-0.122013159096241,
-0.012187055312097073,
-0.03631976991891861,
0.03144073858857155,
-0.03818522393703461,
-0.028524817898869514,
-0.003848851192742586,
0.04689711332321167,
-0.07913034409284592,
0.03245460242033005,
-0.10534697026014328,
-0.022986821830272675,
0.06839796900749207,
0.008458000607788563,
-0.019436653703451157,
-0.051834020763635635,
0.06106959283351898,
-0.04177096113562584,
-0.03883085772395134,
-0.07890600711107254,
0.018642904236912727,
-0.026272721588611603,
0.005969285499304533,
-0.09445791691541672,
0.04893340542912483,
0.01579282432794571,
-0.05903361737728119,
0.08073414862155914,
-0.07225867360830307,
-0.03471885621547699
] |
1401.7774
|
Michael Motsch
|
Michael Motsch, Paul Jansen, Josef A. Agner, Hansj\"urg Schmutz,
Fr\'ed\'eric Merkt
|
Slow and velocity-tunable beams of metastable He$_2$ by multistage
Zeeman deceleration
|
10 pages, 7 figures
|
Phys. Rev. A 89, 043420 (2014)
|
10.1103/PhysRevA.89.043420
| null |
physics.chem-ph physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Metastable helium molecules (He$_2^*$) have been generated by striking a
discharge in a supersonic expansion of helium gas from a pulsed valve. When
operating the pulsed valve at room temperature, 77K, and 10K, the mean velocity
of the supersonic beam was measured to be 1900m/s, 980m/s, and 530m/s,
respectively. A 55-stage Zeeman decelerator operated in a phase-stable manner
was then used to further reduce the beam velocity and tune it in the range
between 100 and 150m/s. The internal-state distribution of the decelerated
sample was established by photoionization spectroscopy.
|
[
{
"created": "Thu, 30 Jan 2014 09:30:26 GMT",
"version": "v1"
}
] |
2014-04-24
|
[
[
"Motsch",
"Michael",
""
],
[
"Jansen",
"Paul",
""
],
[
"Agner",
"Josef A.",
""
],
[
"Schmutz",
"Hansjürg",
""
],
[
"Merkt",
"Frédéric",
""
]
] |
[
-0.03362586349248886,
0.04087195545434952,
-0.05760929733514786,
-0.017223432660102844,
-0.03819398209452629,
-0.013299521058797836,
0.03396500647068024,
0.033501241356134415,
-0.1372561752796173,
0.06974579393863678,
0.024406256154179573,
-0.021018458530306816,
-0.03645886108279228,
0.0014846127014607191,
-0.033765457570552826,
-0.009950847364962101,
0.1254461705684662,
-0.04700605571269989,
-0.02341368794441223,
-0.024521060287952423,
0.05923556163907051,
-0.016355115920305252,
0.018568595871329308,
-0.022905142977833748,
0.07418704777956009,
0.05878251791000366,
-0.05107492953538895,
-0.03915426507592201,
0.018651524558663368,
0.008934310637414455,
0.06726831942796707,
-0.02431364543735981,
-0.04460270330309868,
-0.019394978880882263,
0.0885135680437088,
-0.06591186672449112,
0.0016426825895905495,
0.05641265586018562,
0.03161437436938286,
0.012087543494999409,
0.019087158143520355,
-0.013126049190759659,
-0.05862543731927872,
-0.03624748811125755,
0.022547516971826553,
0.017699897289276123,
-0.0034503238275647163,
-0.06227906048297882,
-0.02412605658173561,
0.07495013624429703,
-0.027331331744790077,
0.04729871824383736,
0.0323668047785759,
0.05050244927406311,
0.0004268437041901052,
0.0037774560041725636,
0.008594680577516556,
-0.01405785046517849,
-0.07048545032739639,
-0.13522537052631378,
-0.09250704199075699,
-0.0015847673639655113,
-0.01808827929198742,
-0.037915654480457306,
0.10685721784830093,
-0.01190817542374134,
0.03173566609621048,
-0.04923991858959198,
0.09839481115341187,
-0.006280914414674044,
0.03978732228279114,
0.06279569864273071,
0.05442836880683899,
0.02410874329507351,
-0.0837654173374176,
-0.040345512330532074,
-0.03616216778755188,
0.014331279322504997,
0.006786818616092205,
0.0412447452545166,
0.07018674165010452,
-0.05184606462717056,
-0.0000798148539615795,
-0.07235419005155563,
-0.09033889323472977,
0.10754196345806122,
0.00937383621931076,
0.026914604008197784,
-0.07026032358407974,
0.01148451492190361,
-0.038692113012075424,
-0.03377547860145569,
-0.0013375176349654794,
-0.046621523797512054,
0.005944206845015287,
0.004397643730044365,
0.04900376871228218,
-0.0050998954102396965,
0.1333579272031784,
-0.049954116344451904,
0.03501034155488014,
-0.029648544266819954,
-0.09849986433982849,
-0.011710545979440212,
-0.09896029531955719,
-0.0005830775480717421,
0.035264696925878525,
0.06687695533037186,
-0.0492524728178978,
0.10528738796710968,
-0.03016376681625843,
-0.022754216566681862,
0.043598722666502,
-0.10131560266017914,
0.0342419296503067,
0.017254693433642387,
-0.10696662962436676,
0.07891687750816345,
-0.018323777243494987,
-0.03922977298498154,
0.04433653503656387,
0.012475082650780678,
-0.022971605882048607,
0.011820624582469463,
-0.008306371979415417,
0.047798268496990204,
-0.01712431199848652,
-2.000469401486164e-35,
0.040179476141929626,
-0.001521219266578555,
0.03909061476588249,
0.013177518732845783,
-0.023975500836968422,
0.04360273480415344,
0.01217748038470745,
0.022641146555542946,
-0.04779515787959099,
0.0092508839443326,
0.07474574446678162,
0.013280268758535385,
0.03134286403656006,
-0.057261109352111816,
-0.027370139956474304,
-0.03334923833608627,
-0.015958871692419052,
0.02664226107299328,
-0.05292388051748276,
0.02138943038880825,
0.040681783109903336,
0.07744532823562622,
-0.010300296358764172,
0.03291122615337372,
-0.06740289181470871,
0.11052166670560837,
0.004882199689745903,
0.047171030193567276,
-0.05366120487451553,
0.020517507568001747,
0.06319938600063324,
-0.004146896302700043,
-0.0260319747030735,
-0.03524259850382805,
0.07135433703660965,
0.043687913566827774,
-0.09171611070632935,
0.03856312111020088,
-0.03959047421813011,
-0.034815121442079544,
0.05821055918931961,
-0.032684214413166046,
-0.06718306243419647,
0.030003530904650688,
-0.06606089323759079,
-0.028572503477334976,
-0.09580699354410172,
-0.05378272756934166,
0.057584576308727264,
-0.06772641092538834,
0.04384199529886246,
0.007118137553334236,
-0.037508510053157806,
0.0008194856927730143,
0.11237896978855133,
0.0697474330663681,
0.0607331357896328,
-0.021372115239501,
0.006446544546633959,
-0.018574731424450874,
-0.02043132856488228,
0.023616526275873184,
0.04252729192376137,
0.050428349524736404,
-0.01836264878511429,
0.02026776783168316,
-0.13784725964069366,
0.011882545426487923,
0.019159231334924698,
0.04049524664878845,
-0.008507187478244305,
0.017077598720788956,
0.047011010348796844,
-0.02350510284304619,
0.06007252261042595,
0.04758365452289581,
0.062138717621564865,
0.040505923330783844,
-0.028802940621972084,
-0.07607647776603699,
-0.028826413676142693,
-0.035212282091379166,
-0.08445563912391663,
-0.07299844175577164,
0.010504812002182007,
-0.06147447228431702,
-0.1246696412563324,
-0.04603169858455658,
-0.03565545752644539,
0.03781663253903389,
0.00016331796359736472,
-0.05647412687540054,
0.015128458850085735,
-0.04297922924160957,
-0.07441989332437515,
-3.438014245598023e-33,
0.049188096076250076,
0.09426574409008026,
-0.057217128574848175,
0.03252957761287689,
0.050134506076574326,
0.11533717066049576,
0.04686684161424637,
0.036836400628089905,
-0.04437645897269249,
-0.026940999552607536,
0.004916325211524963,
0.05831947177648544,
-0.017072785645723343,
0.056172169744968414,
-0.04755398631095886,
0.02251635491847992,
0.06736744195222855,
-0.05741381645202637,
0.12492570281028748,
-0.020483389496803284,
0.029635664075613022,
0.03607187420129776,
0.08216577768325806,
0.029194753617048264,
0.011977777816355228,
0.006624995730817318,
0.007097889203578234,
-0.020286861807107925,
0.08952996879816055,
-0.015584546141326427,
0.027973314747214317,
0.03895961120724678,
-0.006898421328514814,
-0.022493502125144005,
-0.0797906145453453,
-0.031989067792892456,
0.008007743395864964,
0.011834775097668171,
0.007794619537889957,
-0.04388601332902908,
-0.06484931707382202,
0.0043043941259384155,
0.01200619712471962,
-0.0013819513842463493,
0.046096619218587875,
0.04435586556792259,
-0.014363335445523262,
-0.0463014654815197,
0.0707719698548317,
-0.07014650851488113,
-0.0635300800204277,
-0.03985774144530296,
-0.036606863141059875,
0.049451377242803574,
0.056027546525001526,
0.022949019446969032,
-0.0182179044932127,
0.0004747833008877933,
0.07834483683109283,
-0.028360014781355858,
0.07513004541397095,
-0.03889484703540802,
0.044022396206855774,
0.004984662402421236,
-0.07131028920412064,
-0.059867069125175476,
0.04720326140522957,
0.003021914279088378,
0.004598021041601896,
-0.06931326538324356,
0.05799249932169914,
0.03359129652380943,
0.0812729075551033,
0.06096961721777916,
-0.036251723766326904,
-0.0680345818400383,
0.008909483440220356,
-0.02340603433549404,
0.009000208228826523,
-0.06742531061172485,
-0.05308201536536217,
0.0291662085801363,
-0.05279208719730377,
-0.11995440721511841,
0.08349665999412537,
-0.02341574989259243,
-0.0478626973927021,
-0.04355987533926964,
-0.05831493064761162,
-0.02293965592980385,
0.011418205685913563,
0.0415734238922596,
-0.0003117346786893904,
-0.07955680787563324,
0.0650637224316597,
-5.278175763123727e-8,
0.021291473880410194,
-0.0281431432813406,
-0.025071611627936363,
0.016118355095386505,
0.008695287629961967,
0.070984847843647,
-0.02434663102030754,
0.004174274392426014,
0.057172346860170364,
-0.1352306604385376,
0.07119433581829071,
-0.038686640560626984,
0.10778309404850006,
-0.008694196119904518,
0.0770583376288414,
-0.013522735796868801,
-0.063314288854599,
-0.012138495221734047,
-0.008358130231499672,
-0.025959933176636696,
0.02466506138443947,
0.006442771293222904,
0.025921767577528954,
-0.0548759400844574,
-0.07764862477779388,
0.08563780039548874,
0.0585821159183979,
-0.03121304325759411,
-0.02075948566198349,
-0.042316123843193054,
-0.09584719687700272,
0.022763844579458237,
0.10326318442821503,
-0.027862386777997017,
0.01209202315658331,
-0.042866386473178864,
-0.03237291797995567,
0.07454648613929749,
0.0005055086803622544,
-0.027002116665244102,
-0.04162699729204178,
0.03481321409344673,
-0.03518802672624588,
0.012488906271755695,
-0.03756685182452202,
-0.022588634863495827,
0.004510896280407906,
0.00907632615417242,
-0.10844791680574417,
0.02471768856048584,
-0.009243134409189224,
0.046532005071640015,
-0.037032295018434525,
-0.043093252927064896,
0.013406048528850079,
0.04544287919998169,
-0.08633153885602951,
0.0015792029444128275,
-0.07234369218349457,
-0.03342634439468384,
0.11056642234325409,
-0.034058474004268646,
-0.03623892366886139,
0.0062400284223258495
] | null | null | null | null | null | null | null |
[
-0.03362586349248886,
0.04087195545434952,
-0.05760929733514786,
-0.017223432660102844,
-0.03819398209452629,
-0.013299521058797836,
0.03396500647068024,
0.033501241356134415,
-0.1372561752796173,
0.06974579393863678,
0.024406256154179573,
-0.021018458530306816,
-0.03645886108279228,
0.0014846127014607191,
-0.033765457570552826,
-0.009950847364962101,
0.1254461705684662,
-0.04700605571269989,
-0.02341368794441223,
-0.024521060287952423,
0.05923556163907051,
-0.016355115920305252,
0.018568595871329308,
-0.022905142977833748,
0.07418704777956009,
0.05878251791000366,
-0.05107492953538895,
-0.03915426507592201,
0.018651524558663368,
0.008934310637414455,
0.06726831942796707,
-0.02431364543735981,
-0.04460270330309868,
-0.019394978880882263,
0.0885135680437088,
-0.06591186672449112,
0.0016426825895905495,
0.05641265586018562,
0.03161437436938286,
0.012087543494999409,
0.019087158143520355,
-0.013126049190759659,
-0.05862543731927872,
-0.03624748811125755,
0.022547516971826553,
0.017699897289276123,
-0.0034503238275647163,
-0.06227906048297882,
-0.02412605658173561,
0.07495013624429703,
-0.027331331744790077,
0.04729871824383736,
0.0323668047785759,
0.05050244927406311,
0.0004268437041901052,
0.0037774560041725636,
0.008594680577516556,
-0.01405785046517849,
-0.07048545032739639,
-0.13522537052631378,
-0.09250704199075699,
-0.0015847673639655113,
-0.01808827929198742,
-0.037915654480457306,
0.10685721784830093,
-0.01190817542374134,
0.03173566609621048,
-0.04923991858959198,
0.09839481115341187,
-0.006280914414674044,
0.03978732228279114,
0.06279569864273071,
0.05442836880683899,
0.02410874329507351,
-0.0837654173374176,
-0.040345512330532074,
-0.03616216778755188,
0.014331279322504997,
0.006786818616092205,
0.0412447452545166,
0.07018674165010452,
-0.05184606462717056,
-0.0000798148539615795,
-0.07235419005155563,
-0.09033889323472977,
0.10754196345806122,
0.00937383621931076,
0.026914604008197784,
-0.07026032358407974,
0.01148451492190361,
-0.038692113012075424,
-0.03377547860145569,
-0.0013375176349654794,
-0.046621523797512054,
0.005944206845015287,
0.004397643730044365,
0.04900376871228218,
-0.0050998954102396965,
0.1333579272031784,
-0.049954116344451904,
0.03501034155488014,
-0.029648544266819954,
-0.09849986433982849,
-0.011710545979440212,
-0.09896029531955719,
-0.0005830775480717421,
0.035264696925878525,
0.06687695533037186,
-0.0492524728178978,
0.10528738796710968,
-0.03016376681625843,
-0.022754216566681862,
0.043598722666502,
-0.10131560266017914,
0.0342419296503067,
0.017254693433642387,
-0.10696662962436676,
0.07891687750816345,
-0.018323777243494987,
-0.03922977298498154,
0.04433653503656387,
0.012475082650780678,
-0.022971605882048607,
0.011820624582469463,
-0.008306371979415417,
0.047798268496990204,
-0.01712431199848652,
-2.000469401486164e-35,
0.040179476141929626,
-0.001521219266578555,
0.03909061476588249,
0.013177518732845783,
-0.023975500836968422,
0.04360273480415344,
0.01217748038470745,
0.022641146555542946,
-0.04779515787959099,
0.0092508839443326,
0.07474574446678162,
0.013280268758535385,
0.03134286403656006,
-0.057261109352111816,
-0.027370139956474304,
-0.03334923833608627,
-0.015958871692419052,
0.02664226107299328,
-0.05292388051748276,
0.02138943038880825,
0.040681783109903336,
0.07744532823562622,
-0.010300296358764172,
0.03291122615337372,
-0.06740289181470871,
0.11052166670560837,
0.004882199689745903,
0.047171030193567276,
-0.05366120487451553,
0.020517507568001747,
0.06319938600063324,
-0.004146896302700043,
-0.0260319747030735,
-0.03524259850382805,
0.07135433703660965,
0.043687913566827774,
-0.09171611070632935,
0.03856312111020088,
-0.03959047421813011,
-0.034815121442079544,
0.05821055918931961,
-0.032684214413166046,
-0.06718306243419647,
0.030003530904650688,
-0.06606089323759079,
-0.028572503477334976,
-0.09580699354410172,
-0.05378272756934166,
0.057584576308727264,
-0.06772641092538834,
0.04384199529886246,
0.007118137553334236,
-0.037508510053157806,
0.0008194856927730143,
0.11237896978855133,
0.0697474330663681,
0.0607331357896328,
-0.021372115239501,
0.006446544546633959,
-0.018574731424450874,
-0.02043132856488228,
0.023616526275873184,
0.04252729192376137,
0.050428349524736404,
-0.01836264878511429,
0.02026776783168316,
-0.13784725964069366,
0.011882545426487923,
0.019159231334924698,
0.04049524664878845,
-0.008507187478244305,
0.017077598720788956,
0.047011010348796844,
-0.02350510284304619,
0.06007252261042595,
0.04758365452289581,
0.062138717621564865,
0.040505923330783844,
-0.028802940621972084,
-0.07607647776603699,
-0.028826413676142693,
-0.035212282091379166,
-0.08445563912391663,
-0.07299844175577164,
0.010504812002182007,
-0.06147447228431702,
-0.1246696412563324,
-0.04603169858455658,
-0.03565545752644539,
0.03781663253903389,
0.00016331796359736472,
-0.05647412687540054,
0.015128458850085735,
-0.04297922924160957,
-0.07441989332437515,
-3.438014245598023e-33,
0.049188096076250076,
0.09426574409008026,
-0.057217128574848175,
0.03252957761287689,
0.050134506076574326,
0.11533717066049576,
0.04686684161424637,
0.036836400628089905,
-0.04437645897269249,
-0.026940999552607536,
0.004916325211524963,
0.05831947177648544,
-0.017072785645723343,
0.056172169744968414,
-0.04755398631095886,
0.02251635491847992,
0.06736744195222855,
-0.05741381645202637,
0.12492570281028748,
-0.020483389496803284,
0.029635664075613022,
0.03607187420129776,
0.08216577768325806,
0.029194753617048264,
0.011977777816355228,
0.006624995730817318,
0.007097889203578234,
-0.020286861807107925,
0.08952996879816055,
-0.015584546141326427,
0.027973314747214317,
0.03895961120724678,
-0.006898421328514814,
-0.022493502125144005,
-0.0797906145453453,
-0.031989067792892456,
0.008007743395864964,
0.011834775097668171,
0.007794619537889957,
-0.04388601332902908,
-0.06484931707382202,
0.0043043941259384155,
0.01200619712471962,
-0.0013819513842463493,
0.046096619218587875,
0.04435586556792259,
-0.014363335445523262,
-0.0463014654815197,
0.0707719698548317,
-0.07014650851488113,
-0.0635300800204277,
-0.03985774144530296,
-0.036606863141059875,
0.049451377242803574,
0.056027546525001526,
0.022949019446969032,
-0.0182179044932127,
0.0004747833008877933,
0.07834483683109283,
-0.028360014781355858,
0.07513004541397095,
-0.03889484703540802,
0.044022396206855774,
0.004984662402421236,
-0.07131028920412064,
-0.059867069125175476,
0.04720326140522957,
0.003021914279088378,
0.004598021041601896,
-0.06931326538324356,
0.05799249932169914,
0.03359129652380943,
0.0812729075551033,
0.06096961721777916,
-0.036251723766326904,
-0.0680345818400383,
0.008909483440220356,
-0.02340603433549404,
0.009000208228826523,
-0.06742531061172485,
-0.05308201536536217,
0.0291662085801363,
-0.05279208719730377,
-0.11995440721511841,
0.08349665999412537,
-0.02341574989259243,
-0.0478626973927021,
-0.04355987533926964,
-0.05831493064761162,
-0.02293965592980385,
0.011418205685913563,
0.0415734238922596,
-0.0003117346786893904,
-0.07955680787563324,
0.0650637224316597,
-5.278175763123727e-8,
0.021291473880410194,
-0.0281431432813406,
-0.025071611627936363,
0.016118355095386505,
0.008695287629961967,
0.070984847843647,
-0.02434663102030754,
0.004174274392426014,
0.057172346860170364,
-0.1352306604385376,
0.07119433581829071,
-0.038686640560626984,
0.10778309404850006,
-0.008694196119904518,
0.0770583376288414,
-0.013522735796868801,
-0.063314288854599,
-0.012138495221734047,
-0.008358130231499672,
-0.025959933176636696,
0.02466506138443947,
0.006442771293222904,
0.025921767577528954,
-0.0548759400844574,
-0.07764862477779388,
0.08563780039548874,
0.0585821159183979,
-0.03121304325759411,
-0.02075948566198349,
-0.042316123843193054,
-0.09584719687700272,
0.022763844579458237,
0.10326318442821503,
-0.027862386777997017,
0.01209202315658331,
-0.042866386473178864,
-0.03237291797995567,
0.07454648613929749,
0.0005055086803622544,
-0.027002116665244102,
-0.04162699729204178,
0.03481321409344673,
-0.03518802672624588,
0.012488906271755695,
-0.03756685182452202,
-0.022588634863495827,
0.004510896280407906,
0.00907632615417242,
-0.10844791680574417,
0.02471768856048584,
-0.009243134409189224,
0.046532005071640015,
-0.037032295018434525,
-0.043093252927064896,
0.013406048528850079,
0.04544287919998169,
-0.08633153885602951,
0.0015792029444128275,
-0.07234369218349457,
-0.03342634439468384,
0.11056642234325409,
-0.034058474004268646,
-0.03623892366886139,
0.0062400284223258495
] |
1401.7776
|
Takuma Akimoto
|
Eiji Yamamoto, Takuma Akimoto, Masato Yasui, Kenji Yasuoka
|
Origin of subdiffusion of water molecules on cell membrane surfaces
|
6 pages, 4 figures
|
Sci. Rep. 4, 4720 (2014)
|
10.1038/srep04720
| null |
physics.bio-ph cond-mat.stat-mech physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Water molecules play an important role in providing unique environments for
biological reactions on cell membranes. It is widely believed that water
molecules form bridges that connect lipid molecules and stabilize cell
membranes. Using all-atom molecular dynamics simulations, we show that
translational and rotational diffusion of water molecules on lipid membrane
surfaces exhibit subdiffusion. Moreover, we provide evidence that both
divergent mean trapping time (continuous-time random walk) and long-correlated
noise (fractional Brownian motion) contribute to this subdiffusion. These
results suggest that subdiffusion on cell membranes causes the water
retardation, an enhancement of cell membrane stability, and a higher reaction
efficiency.
|
[
{
"created": "Thu, 30 Jan 2014 09:38:20 GMT",
"version": "v1"
}
] |
2014-08-04
|
[
[
"Yamamoto",
"Eiji",
""
],
[
"Akimoto",
"Takuma",
""
],
[
"Yasui",
"Masato",
""
],
[
"Yasuoka",
"Kenji",
""
]
] |
[
-0.03427702933549881,
-0.10196301341056824,
0.03665938228368759,
-0.0002646600769367069,
-0.01851584017276764,
-0.0027097889687865973,
0.005726286210119724,
-0.05114295706152916,
0.08510906994342804,
-0.019813867285847664,
-0.04862893000245094,
-0.017912521958351135,
-0.05117852985858917,
0.061239730566740036,
-0.032475776970386505,
0.0033503524027764797,
-0.014338611625134945,
0.06322453171014786,
-0.06391770392656326,
-0.004598384723067284,
-0.01078964676707983,
0.0013366012135520577,
0.026277106255292892,
0.011214617639780045,
0.013430449180305004,
0.06500585377216339,
0.08390893042087555,
-0.007971106097102165,
0.008173547685146332,
0.003248419612646103,
0.01179116778075695,
-0.04195278510451317,
-0.03724399209022522,
-0.10397183150053024,
0.04458761215209961,
-0.07068111002445221,
-0.038296930491924286,
0.016202541068196297,
-0.036386486142873764,
-0.0440511591732502,
-0.005655537359416485,
0.05579833313822746,
-0.0579025037586689,
0.05630447342991829,
0.02274506911635399,
-0.06164323166012764,
0.031139744445681572,
0.00815520714968443,
0.01162554882466793,
0.030969325453042984,
0.04978000372648239,
-0.024192115291953087,
-0.07559763640165329,
-0.01508565153926611,
-0.049679946154356,
0.06048770621418953,
-0.005661318078637123,
0.023274147883057594,
0.028940482065081596,
-0.05381060019135475,
0.06772783398628235,
-0.009515590034425259,
0.03021361492574215,
0.04839986190199852,
-0.002510390244424343,
-0.02247539721429348,
0.07603409141302109,
0.024242253974080086,
0.046205729246139526,
0.026990624144673347,
-0.09139716625213623,
0.05160113424062729,
0.0160385575145483,
0.0012565631186589599,
0.036442309617996216,
-0.08378510922193527,
-0.04534377530217171,
0.029397036880254745,
0.037002187222242355,
-0.0016071154968813062,
0.0204868596047163,
-0.08745711296796799,
0.0719563290476799,
0.050067394971847534,
-0.032446570694446564,
-0.012378562241792679,
0.09732741117477417,
-0.03555474802851677,
0.0030729772988706827,
-0.04815341904759407,
-0.005242072511464357,
0.057170189917087555,
-0.020270926877856255,
-0.03527367487549782,
-0.07255665957927704,
-0.0142003633081913,
0.05003253370523453,
-0.006839327048510313,
0.06993555277585983,
-0.04399996995925903,
-0.016945838928222656,
-0.030457573011517525,
0.008020064793527126,
0.043204415589571,
0.12061508744955063,
-0.05055732652544975,
0.10734835267066956,
0.06240830197930336,
-0.04661331698298454,
0.09075580537319183,
-0.012884617783129215,
-0.01572154089808464,
0.011469844728708267,
0.15445102751255035,
0.046409375965595245,
-0.06158844009041786,
-0.012448031455278397,
0.000009165499250229914,
0.0023855329491198063,
0.020821498706936836,
-0.04680686071515083,
-0.02176804095506668,
-0.07289567589759827,
-0.02918921411037445,
0.008768601343035698,
0.03489695116877556,
-0.021728238090872765,
-4.049266716250805e-34,
0.048521529883146286,
-0.0718313679099083,
0.0062033068388700485,
0.02711569331586361,
0.049250904470682144,
-0.13962773978710175,
-0.048760153353214264,
-0.11705854535102844,
-0.07678656280040741,
0.055424559861421585,
-0.03331710025668144,
-0.06752973049879074,
-0.010727767832577229,
-0.04391978681087494,
-0.06572172045707703,
-0.0026300139725208282,
0.008480595424771309,
0.034230560064315796,
0.03866678103804588,
0.006381359416991472,
0.0005118126864545047,
0.03654537349939346,
0.017663436010479927,
-0.06437365710735321,
0.026427041739225388,
-0.002028541872277856,
-0.07898174226284027,
-0.020954299718141556,
0.1383354365825653,
-0.015551191754639149,
-0.012974301353096962,
-0.021160002797842026,
-0.07318050414323807,
0.01835831254720688,
0.09100858867168427,
0.02673148550093174,
0.02879416011273861,
-0.03547867387533188,
-0.0019051848212257028,
-0.03297105431556702,
-0.09550238400697708,
0.010789809748530388,
-0.030238041654229164,
-0.08377528935670853,
0.01583324559032917,
0.03396234288811684,
0.010036638006567955,
0.009983807802200317,
-0.010083639062941074,
-0.03337715566158295,
0.005295530427247286,
0.0005737388273701072,
0.05483599752187729,
0.049372006207704544,
0.05338722839951515,
-0.06367148458957672,
0.0823703482747078,
-0.009007170796394348,
-0.08746831864118576,
0.01577506773173809,
-0.021095920354127884,
0.04619220271706581,
-0.05012185871601105,
0.0095015624538064,
0.09820601344108582,
0.03591404855251312,
-0.11621154844760895,
0.034104298800230026,
0.043906036764383316,
-0.01293245330452919,
-0.0012389591429382563,
0.05976749211549759,
0.030381126329302788,
0.018494246527552605,
0.010734758339822292,
0.04652320593595505,
0.046870969235897064,
-0.026714636012911797,
-0.021929675713181496,
0.04734423756599426,
0.03133971244096756,
-0.07395759224891663,
-0.00283330911770463,
-0.032826852053403854,
-0.04752126708626747,
0.010536831803619862,
-0.03627469018101692,
-0.08730112016201019,
-0.04379400238394737,
0.0403805710375309,
0.05456648766994476,
-0.045656751841306686,
0.09233306348323822,
-0.049272459000349045,
-0.02918306738138199,
-2.611946794488192e-33,
-0.02524084597826004,
-0.03717542439699173,
0.03852031007409096,
0.03858237341046333,
0.050279803574085236,
0.10742814093828201,
-0.013110502623021603,
0.06513995677232742,
0.11846990883350372,
-0.03875349089503288,
0.027966629713773727,
-0.0018365469295531511,
-0.11343967169523239,
0.05483812466263771,
0.0033242935314774513,
-0.04868794232606888,
0.08864418417215347,
-0.06661635637283325,
0.09841795265674591,
-0.04561375826597214,
-0.06255704164505005,
0.013781915418803692,
0.07280252128839493,
0.008861802518367767,
-0.009023803286254406,
0.007038398180156946,
-0.012701526284217834,
0.02270647883415222,
-0.0338880829513073,
0.01397563423961401,
-0.05535762012004852,
-0.0297747440636158,
-0.004474479705095291,
0.024885371327400208,
-0.0542178712785244,
0.049092233180999756,
-0.023686343804001808,
0.04314017295837402,
0.027089901268482208,
-0.028624825179576874,
-0.03666135296225548,
-0.1324421763420105,
0.03249872103333473,
-0.03428025543689728,
0.07942663133144379,
0.0331980362534523,
-0.059293482452631,
0.006684394087642431,
-0.09549258649349213,
-0.05902260169386864,
-0.07000148296356201,
0.03217581287026405,
0.016027210280299187,
0.05361904948949814,
0.029244981706142426,
0.09129802882671356,
0.018581781536340714,
-0.06271018087863922,
0.10443779826164246,
0.008637623861432076,
-0.0055945985950529575,
-0.018100125715136528,
-0.01667434722185135,
-0.06738480180501938,
-0.03299656882882118,
0.03271913528442383,
-0.05110692232847214,
-0.008301849476993084,
0.05257948487997055,
-0.05519585311412811,
0.011602507904171944,
0.039229027926921844,
-0.0017623938620090485,
0.06679821759462357,
0.02541952021420002,
-0.039296120405197144,
0.08096232265233994,
-0.1321488916873932,
-0.0490584634244442,
-0.004300592001527548,
0.014825421385467052,
0.1464073210954666,
-0.040068116039037704,
-0.1243872344493866,
0.02668020687997341,
-0.023600753396749496,
0.004692194517701864,
-0.07742255181074142,
0.017126714810729027,
0.03419937193393707,
0.11844295263290405,
-0.08632105588912964,
0.021294018253684044,
0.00698408717289567,
0.024215485900640488,
-3.578748675181487e-8,
0.10510697960853577,
0.06289245933294296,
0.0641319677233696,
-0.06493033468723297,
0.01829768717288971,
0.09919879585504532,
0.08649753779172897,
0.004131615627557039,
0.046762578189373016,
0.00786682590842247,
-0.029343442991375923,
0.012100343592464924,
0.010366961359977722,
0.007718992885202169,
-0.01524231769144535,
0.06815489381551743,
-0.01941097527742386,
-0.08546128123998642,
-0.04853630065917969,
-0.10689056664705276,
-0.0756908729672432,
-0.022642627358436584,
-0.06389478594064713,
0.05250027775764465,
0.0061398581601679325,
-0.005197002086788416,
-0.05682684853672981,
-0.06572769582271576,
-0.03084057755768299,
-0.07649374008178711,
-0.01435564924031496,
0.03768661990761757,
0.06570210307836533,
0.1036241352558136,
0.0008698207675479352,
-0.0311077032238245,
-0.0006734536727890372,
0.002677449258044362,
-0.04930242896080017,
0.011863869614899158,
-0.023874545469880104,
0.05319291725754738,
-0.02561737783253193,
-0.04773438721895218,
0.002383752027526498,
0.05392613634467125,
-0.041905492544174194,
0.0035373810678720474,
0.022120077162981033,
0.07723010331392288,
-0.003958078101277351,
0.027681132778525352,
-0.03308136388659477,
-0.011344085447490215,
0.010186023078858852,
0.029571514576673508,
-0.03266574442386627,
-0.04438367858529091,
0.035637419670820236,
0.012767337262630463,
-0.012073483318090439,
-0.03948798030614853,
0.007645139936357737,
0.0012957510771229863
] | null | null | null | null | null | null | null |
[
-0.03427702933549881,
-0.10196301341056824,
0.03665938228368759,
-0.0002646600769367069,
-0.01851584017276764,
-0.0027097889687865973,
0.005726286210119724,
-0.05114295706152916,
0.08510906994342804,
-0.019813867285847664,
-0.04862893000245094,
-0.017912521958351135,
-0.05117852985858917,
0.061239730566740036,
-0.032475776970386505,
0.0033503524027764797,
-0.014338611625134945,
0.06322453171014786,
-0.06391770392656326,
-0.004598384723067284,
-0.01078964676707983,
0.0013366012135520577,
0.026277106255292892,
0.011214617639780045,
0.013430449180305004,
0.06500585377216339,
0.08390893042087555,
-0.007971106097102165,
0.008173547685146332,
0.003248419612646103,
0.01179116778075695,
-0.04195278510451317,
-0.03724399209022522,
-0.10397183150053024,
0.04458761215209961,
-0.07068111002445221,
-0.038296930491924286,
0.016202541068196297,
-0.036386486142873764,
-0.0440511591732502,
-0.005655537359416485,
0.05579833313822746,
-0.0579025037586689,
0.05630447342991829,
0.02274506911635399,
-0.06164323166012764,
0.031139744445681572,
0.00815520714968443,
0.01162554882466793,
0.030969325453042984,
0.04978000372648239,
-0.024192115291953087,
-0.07559763640165329,
-0.01508565153926611,
-0.049679946154356,
0.06048770621418953,
-0.005661318078637123,
0.023274147883057594,
0.028940482065081596,
-0.05381060019135475,
0.06772783398628235,
-0.009515590034425259,
0.03021361492574215,
0.04839986190199852,
-0.002510390244424343,
-0.02247539721429348,
0.07603409141302109,
0.024242253974080086,
0.046205729246139526,
0.026990624144673347,
-0.09139716625213623,
0.05160113424062729,
0.0160385575145483,
0.0012565631186589599,
0.036442309617996216,
-0.08378510922193527,
-0.04534377530217171,
0.029397036880254745,
0.037002187222242355,
-0.0016071154968813062,
0.0204868596047163,
-0.08745711296796799,
0.0719563290476799,
0.050067394971847534,
-0.032446570694446564,
-0.012378562241792679,
0.09732741117477417,
-0.03555474802851677,
0.0030729772988706827,
-0.04815341904759407,
-0.005242072511464357,
0.057170189917087555,
-0.020270926877856255,
-0.03527367487549782,
-0.07255665957927704,
-0.0142003633081913,
0.05003253370523453,
-0.006839327048510313,
0.06993555277585983,
-0.04399996995925903,
-0.016945838928222656,
-0.030457573011517525,
0.008020064793527126,
0.043204415589571,
0.12061508744955063,
-0.05055732652544975,
0.10734835267066956,
0.06240830197930336,
-0.04661331698298454,
0.09075580537319183,
-0.012884617783129215,
-0.01572154089808464,
0.011469844728708267,
0.15445102751255035,
0.046409375965595245,
-0.06158844009041786,
-0.012448031455278397,
0.000009165499250229914,
0.0023855329491198063,
0.020821498706936836,
-0.04680686071515083,
-0.02176804095506668,
-0.07289567589759827,
-0.02918921411037445,
0.008768601343035698,
0.03489695116877556,
-0.021728238090872765,
-4.049266716250805e-34,
0.048521529883146286,
-0.0718313679099083,
0.0062033068388700485,
0.02711569331586361,
0.049250904470682144,
-0.13962773978710175,
-0.048760153353214264,
-0.11705854535102844,
-0.07678656280040741,
0.055424559861421585,
-0.03331710025668144,
-0.06752973049879074,
-0.010727767832577229,
-0.04391978681087494,
-0.06572172045707703,
-0.0026300139725208282,
0.008480595424771309,
0.034230560064315796,
0.03866678103804588,
0.006381359416991472,
0.0005118126864545047,
0.03654537349939346,
0.017663436010479927,
-0.06437365710735321,
0.026427041739225388,
-0.002028541872277856,
-0.07898174226284027,
-0.020954299718141556,
0.1383354365825653,
-0.015551191754639149,
-0.012974301353096962,
-0.021160002797842026,
-0.07318050414323807,
0.01835831254720688,
0.09100858867168427,
0.02673148550093174,
0.02879416011273861,
-0.03547867387533188,
-0.0019051848212257028,
-0.03297105431556702,
-0.09550238400697708,
0.010789809748530388,
-0.030238041654229164,
-0.08377528935670853,
0.01583324559032917,
0.03396234288811684,
0.010036638006567955,
0.009983807802200317,
-0.010083639062941074,
-0.03337715566158295,
0.005295530427247286,
0.0005737388273701072,
0.05483599752187729,
0.049372006207704544,
0.05338722839951515,
-0.06367148458957672,
0.0823703482747078,
-0.009007170796394348,
-0.08746831864118576,
0.01577506773173809,
-0.021095920354127884,
0.04619220271706581,
-0.05012185871601105,
0.0095015624538064,
0.09820601344108582,
0.03591404855251312,
-0.11621154844760895,
0.034104298800230026,
0.043906036764383316,
-0.01293245330452919,
-0.0012389591429382563,
0.05976749211549759,
0.030381126329302788,
0.018494246527552605,
0.010734758339822292,
0.04652320593595505,
0.046870969235897064,
-0.026714636012911797,
-0.021929675713181496,
0.04734423756599426,
0.03133971244096756,
-0.07395759224891663,
-0.00283330911770463,
-0.032826852053403854,
-0.04752126708626747,
0.010536831803619862,
-0.03627469018101692,
-0.08730112016201019,
-0.04379400238394737,
0.0403805710375309,
0.05456648766994476,
-0.045656751841306686,
0.09233306348323822,
-0.049272459000349045,
-0.02918306738138199,
-2.611946794488192e-33,
-0.02524084597826004,
-0.03717542439699173,
0.03852031007409096,
0.03858237341046333,
0.050279803574085236,
0.10742814093828201,
-0.013110502623021603,
0.06513995677232742,
0.11846990883350372,
-0.03875349089503288,
0.027966629713773727,
-0.0018365469295531511,
-0.11343967169523239,
0.05483812466263771,
0.0033242935314774513,
-0.04868794232606888,
0.08864418417215347,
-0.06661635637283325,
0.09841795265674591,
-0.04561375826597214,
-0.06255704164505005,
0.013781915418803692,
0.07280252128839493,
0.008861802518367767,
-0.009023803286254406,
0.007038398180156946,
-0.012701526284217834,
0.02270647883415222,
-0.0338880829513073,
0.01397563423961401,
-0.05535762012004852,
-0.0297747440636158,
-0.004474479705095291,
0.024885371327400208,
-0.0542178712785244,
0.049092233180999756,
-0.023686343804001808,
0.04314017295837402,
0.027089901268482208,
-0.028624825179576874,
-0.03666135296225548,
-0.1324421763420105,
0.03249872103333473,
-0.03428025543689728,
0.07942663133144379,
0.0331980362534523,
-0.059293482452631,
0.006684394087642431,
-0.09549258649349213,
-0.05902260169386864,
-0.07000148296356201,
0.03217581287026405,
0.016027210280299187,
0.05361904948949814,
0.029244981706142426,
0.09129802882671356,
0.018581781536340714,
-0.06271018087863922,
0.10443779826164246,
0.008637623861432076,
-0.0055945985950529575,
-0.018100125715136528,
-0.01667434722185135,
-0.06738480180501938,
-0.03299656882882118,
0.03271913528442383,
-0.05110692232847214,
-0.008301849476993084,
0.05257948487997055,
-0.05519585311412811,
0.011602507904171944,
0.039229027926921844,
-0.0017623938620090485,
0.06679821759462357,
0.02541952021420002,
-0.039296120405197144,
0.08096232265233994,
-0.1321488916873932,
-0.0490584634244442,
-0.004300592001527548,
0.014825421385467052,
0.1464073210954666,
-0.040068116039037704,
-0.1243872344493866,
0.02668020687997341,
-0.023600753396749496,
0.004692194517701864,
-0.07742255181074142,
0.017126714810729027,
0.03419937193393707,
0.11844295263290405,
-0.08632105588912964,
0.021294018253684044,
0.00698408717289567,
0.024215485900640488,
-3.578748675181487e-8,
0.10510697960853577,
0.06289245933294296,
0.0641319677233696,
-0.06493033468723297,
0.01829768717288971,
0.09919879585504532,
0.08649753779172897,
0.004131615627557039,
0.046762578189373016,
0.00786682590842247,
-0.029343442991375923,
0.012100343592464924,
0.010366961359977722,
0.007718992885202169,
-0.01524231769144535,
0.06815489381551743,
-0.01941097527742386,
-0.08546128123998642,
-0.04853630065917969,
-0.10689056664705276,
-0.0756908729672432,
-0.022642627358436584,
-0.06389478594064713,
0.05250027775764465,
0.0061398581601679325,
-0.005197002086788416,
-0.05682684853672981,
-0.06572769582271576,
-0.03084057755768299,
-0.07649374008178711,
-0.01435564924031496,
0.03768661990761757,
0.06570210307836533,
0.1036241352558136,
0.0008698207675479352,
-0.0311077032238245,
-0.0006734536727890372,
0.002677449258044362,
-0.04930242896080017,
0.011863869614899158,
-0.023874545469880104,
0.05319291725754738,
-0.02561737783253193,
-0.04773438721895218,
0.002383752027526498,
0.05392613634467125,
-0.041905492544174194,
0.0035373810678720474,
0.022120077162981033,
0.07723010331392288,
-0.003958078101277351,
0.027681132778525352,
-0.03308136388659477,
-0.011344085447490215,
0.010186023078858852,
0.029571514576673508,
-0.03266574442386627,
-0.04438367858529091,
0.035637419670820236,
0.012767337262630463,
-0.012073483318090439,
-0.03948798030614853,
0.007645139936357737,
0.0012957510771229863
] |
1401.7778
| null |
R McAdams
|
Control and calculation of the titanium sublimation pumping speed and
re-ionisation in the MAST Neutral Beam Injectors
|
24 pages, 13 figures
|
Fusion Engineering and Design, Vol.90, January 2015, pp.47-54
|
10.1016/j.fusengdes.2014.11.006
| null |
physics.acc-ph physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A high pumping speed is required in neutral beam injectors to minimise
re-ionisation of the neutral beams. The neutral beam injectors on MAST use
titanium sublimation pumps. These pumps do not have a constant pumping speed;
their pumping speed depends on the gettering surface history and on both the
integrated and applied gas load. In this paper we report a method of
maintaining a constant pumping speed,through different evaporation schemes,
suitable for operations of the MAST beamline for both short and relatively long
beam pulses by measurement of the pressure in the beamline. In addition the
MCNP code is then used to calculate the gas profile in the beamline by
adjusting the input pumping speed to match the measured pressure. This allows
the resulting gas profile to be used for calculation of the re-ionisation
levels and an example is given.
|
[
{
"created": "Thu, 30 Jan 2014 09:44:35 GMT",
"version": "v1"
}
] |
2015-10-29
|
[
[
"McAdams",
"R",
""
]
] |
[
-0.05927617847919464,
0.012653506360948086,
-0.006293000187724829,
-0.012699524872004986,
-0.08502660691738129,
-0.07765985280275345,
0.07999370247125626,
0.03478023409843445,
-0.17473746836185455,
-0.029679328203201294,
0.008026473224163055,
0.0071812947280704975,
-0.0006302656838670373,
0.02311587706208229,
-0.03992772847414017,
0.03729424253106117,
0.051445748656988144,
0.019651159644126892,
0.007928474806249142,
-0.034529536962509155,
0.03835437819361687,
-0.027241408824920654,
-0.058994460850954056,
-0.022972332313656807,
0.016886336728930473,
-0.02371881529688835,
-0.02183089405298233,
-0.04478524252772331,
-0.028471697121858597,
0.00729744229465723,
-0.08769750595092773,
-0.07853583246469498,
-0.034615468233823776,
-0.014033685438334942,
-0.0251254141330719,
-0.00674773333594203,
-0.008767101913690567,
-0.0018614194123074412,
-0.036705028265714645,
0.04653044417500496,
0.016979170963168144,
0.04043663665652275,
-0.0023595744278281927,
0.07797136157751083,
0.05761164426803589,
0.03570057079195976,
0.008355963975191116,
-0.11477714776992798,
0.027323000133037567,
0.07668988406658173,
-0.006089712493121624,
0.019944913685321808,
0.0073428102768957615,
-0.04140567034482956,
0.01243160106241703,
-0.06032811850309372,
0.028317052870988846,
-0.003532347735017538,
-0.02389630489051342,
0.06045925244688988,
-0.02970440685749054,
0.0025996374897658825,
0.023544853553175926,
-0.02934863604605198,
0.018954193219542503,
-0.029941610991954803,
0.0568191222846508,
0.11875370889902115,
0.032908424735069275,
-0.02705528773367405,
-0.015961207449436188,
0.010813509114086628,
0.014055649749934673,
0.016314882785081863,
-0.09068843722343445,
-0.02415301837027073,
0.06921665370464325,
0.0748080313205719,
-0.027804186567664146,
0.011068048886954784,
0.003922711126506329,
-0.021640393882989883,
-0.10196735709905624,
-0.10940667241811752,
-0.06967721879482269,
0.07879582047462463,
0.004522894509136677,
-0.008105631917715073,
0.01500631682574749,
0.012228135950863361,
-0.001573029556311667,
-0.005027339793741703,
0.016471996903419495,
0.013357095420360565,
0.08548977971076965,
-0.047658443450927734,
-0.05675562843680382,
0.0276601891964674,
-0.04526635259389877,
0.015672767534852028,
-0.026194563135504723,
0.04629535228013992,
-0.07896478474140167,
0.045945268124341965,
-0.11287383735179901,
-0.024934208020567894,
-0.017426926642656326,
0.10121161490678787,
-0.0905609279870987,
0.09219907224178314,
0.07144224643707275,
0.0039703575894236565,
0.0007680353010073304,
-0.05360877886414528,
0.0731978714466095,
0.03180738538503647,
-0.04747340455651283,
0.007669185753911734,
0.02590099722146988,
0.03321542218327522,
0.0016959495842456818,
-0.019924631342291832,
-0.007135276682674885,
0.026482053101062775,
0.02236640825867653,
0.01629054918885231,
0.014843025244772434,
2.1558801492950917e-33,
-0.07274530827999115,
0.05133192241191864,
0.04327794909477234,
-0.014822338707745075,
-0.1658734828233719,
0.0241021029651165,
0.003114590421319008,
0.0714779943227768,
-0.027970749884843826,
0.03517476096749306,
0.060577575117349625,
0.003651253180578351,
0.008413096889853477,
0.0208671223372221,
-0.07138922065496445,
-0.09180057048797607,
0.08330879360437393,
0.09489253908395767,
-0.012270883657038212,
0.01399259828031063,
0.006097213365137577,
-0.015112439170479774,
-0.021050339564681053,
-0.058608222752809525,
-0.00882707443088293,
0.07919370383024216,
0.03300972655415535,
-0.043313201516866684,
-0.08569541573524475,
-0.022716239094734192,
0.07470948249101639,
0.004823436960577965,
0.01856919564306736,
0.032799333333969116,
-0.013304635882377625,
-0.0513138622045517,
0.02159329131245613,
-0.004256664775311947,
0.022472232580184937,
0.01567872241139412,
-0.0007167367148213089,
0.0468023344874382,
0.007764503825455904,
0.044217780232429504,
-0.039480507373809814,
-0.07807391881942749,
-0.08428610861301422,
-0.019417941570281982,
0.05362929031252861,
-0.07539846748113632,
0.030723869800567627,
0.03655333071947098,
-0.06726805120706558,
0.012216590344905853,
0.0741107165813446,
0.030834149569272995,
-0.007841452024877071,
0.02296174317598343,
0.05484934523701668,
-0.010203337296843529,
-0.03791087865829468,
-0.06687282025814056,
-0.018827328458428383,
0.024995582178235054,
0.007246540393680334,
0.07915389537811279,
-0.12860500812530518,
-0.0863756537437439,
-0.0055586546659469604,
0.061894118785858154,
-0.008053765632212162,
-0.0759013369679451,
0.0058626942336559296,
0.010197671130299568,
-0.0018277328927069902,
0.07237277925014496,
0.030356023460626602,
0.08088210970163345,
-0.057614464312791824,
-0.047344714403152466,
-0.0501638799905777,
-0.01627163216471672,
-0.04097441956400871,
0.027180170640349388,
0.022935612127184868,
-0.0678618773818016,
-0.028456619009375572,
0.044480666518211365,
0.023424528539180756,
-0.009931967593729496,
0.018005013465881348,
0.040197499096393585,
-0.04112701490521431,
-0.09467663615942001,
-0.009821253828704357,
-1.896180570090824e-33,
0.05847438424825668,
0.11306856572628021,
-0.08923374861478806,
-0.001700419234111905,
0.042585715651512146,
0.0799216628074646,
0.052585721015930176,
0.00829074252396822,
-0.07214628905057907,
0.03597887605428696,
-0.04554888606071472,
0.004163493402302265,
-0.025602862238883972,
0.056604452431201935,
-0.06728727370500565,
0.11939319968223572,
-0.027318794280290604,
-0.03238232061266899,
-0.009892476722598076,
0.011580164544284344,
0.12917056679725647,
0.09465623646974564,
0.05085892975330353,
-0.0005670040845870972,
-0.01677454449236393,
-0.034280724823474884,
-0.015945158898830414,
-0.02947450615465641,
0.004724540747702122,
-0.05771629512310028,
0.009364894591271877,
0.04207665100693703,
-0.020871076732873917,
-0.028654098510742188,
-0.08428905159235,
0.001722179469652474,
0.03185372054576874,
0.0804206132888794,
0.018741052597761154,
-0.002698382828384638,
-0.013855510391294956,
0.049489546567201614,
0.005839386489242315,
-0.01705743558704853,
-0.10365688055753708,
0.06660448014736176,
0.01681802049279213,
-0.038471292704343796,
0.0770566314458847,
0.017234478145837784,
-0.07815418392419815,
-0.05957896634936333,
0.03889964148402214,
0.014299781993031502,
-0.0033747092820703983,
-0.10143302381038666,
0.023842468857765198,
-0.008117559365928173,
0.014239261858165264,
0.015273491851985455,
0.10537848621606827,
-0.055955369025468826,
0.13439249992370605,
-0.11085915565490723,
-0.07139216363430023,
-0.037411462515592575,
0.07721593976020813,
-0.016914812847971916,
-0.00585546949878335,
-0.0680670365691185,
0.03543665260076523,
-0.006168801337480545,
0.10738853365182877,
0.04008375480771065,
-0.11539371311664581,
-0.007322018500417471,
0.0653475895524025,
-0.0037796366959810257,
-0.04011356458067894,
0.02521679922938347,
0.04664158076047897,
0.04085962846875191,
-0.07249537855386734,
0.06474067270755768,
0.08173913508653641,
0.013742763549089432,
0.010333172045648098,
0.045728348195552826,
0.0650109127163887,
0.021115193143486977,
-0.02434512786567211,
-0.02761848457157612,
0.08351932466030121,
-0.037589870393276215,
0.027258116751909256,
-4.632189032349743e-8,
-0.006816329434514046,
-0.0002007668954320252,
-0.02154090628027916,
0.03441113606095314,
-0.07096479833126068,
0.10747550427913666,
-0.06854094564914703,
0.06889563798904419,
0.003934432752430439,
-0.12513025104999542,
0.04211922362446785,
-0.06687198579311371,
0.051979824900627136,
0.044167179614305496,
0.08679134398698807,
0.01067365799099207,
0.05484379082918167,
-0.006589489057660103,
0.010907015763223171,
0.003507415996864438,
0.016202116385102272,
-0.011834626086056232,
-0.003059505484998226,
0.023852666839957237,
-0.05381851643323898,
0.020607497543096542,
0.05004313588142395,
0.006132637150585651,
0.024828940629959106,
-0.02174374647438526,
-0.07433813810348511,
0.02199644036591053,
0.05385451391339302,
0.007078653667122126,
-0.01699051447212696,
0.04828917235136032,
0.031881142407655716,
0.06609787791967392,
-0.05495988205075264,
0.029376043006777763,
-0.061998654156923294,
-0.03572852164506912,
-0.04018322750926018,
-0.015646081417798996,
-0.028732741251587868,
0.04635488986968994,
-0.026340292766690254,
-0.031284552067518234,
-0.04780486226081848,
0.02169083245098591,
0.022090675309300423,
-0.013610048219561577,
0.001702256966382265,
-0.08089810609817505,
0.06577285379171371,
0.07239309698343277,
-0.06018075719475746,
0.02598075196146965,
0.07629231363534927,
0.055806342512369156,
0.04263020679354668,
-0.0012832429492846131,
-0.016874141991138458,
-0.059113673865795135
] | null | null | null | null | null | null | null |
[
-0.05927617847919464,
0.012653506360948086,
-0.006293000187724829,
-0.012699524872004986,
-0.08502660691738129,
-0.07765985280275345,
0.07999370247125626,
0.03478023409843445,
-0.17473746836185455,
-0.029679328203201294,
0.008026473224163055,
0.0071812947280704975,
-0.0006302656838670373,
0.02311587706208229,
-0.03992772847414017,
0.03729424253106117,
0.051445748656988144,
0.019651159644126892,
0.007928474806249142,
-0.034529536962509155,
0.03835437819361687,
-0.027241408824920654,
-0.058994460850954056,
-0.022972332313656807,
0.016886336728930473,
-0.02371881529688835,
-0.02183089405298233,
-0.04478524252772331,
-0.028471697121858597,
0.00729744229465723,
-0.08769750595092773,
-0.07853583246469498,
-0.034615468233823776,
-0.014033685438334942,
-0.0251254141330719,
-0.00674773333594203,
-0.008767101913690567,
-0.0018614194123074412,
-0.036705028265714645,
0.04653044417500496,
0.016979170963168144,
0.04043663665652275,
-0.0023595744278281927,
0.07797136157751083,
0.05761164426803589,
0.03570057079195976,
0.008355963975191116,
-0.11477714776992798,
0.027323000133037567,
0.07668988406658173,
-0.006089712493121624,
0.019944913685321808,
0.0073428102768957615,
-0.04140567034482956,
0.01243160106241703,
-0.06032811850309372,
0.028317052870988846,
-0.003532347735017538,
-0.02389630489051342,
0.06045925244688988,
-0.02970440685749054,
0.0025996374897658825,
0.023544853553175926,
-0.02934863604605198,
0.018954193219542503,
-0.029941610991954803,
0.0568191222846508,
0.11875370889902115,
0.032908424735069275,
-0.02705528773367405,
-0.015961207449436188,
0.010813509114086628,
0.014055649749934673,
0.016314882785081863,
-0.09068843722343445,
-0.02415301837027073,
0.06921665370464325,
0.0748080313205719,
-0.027804186567664146,
0.011068048886954784,
0.003922711126506329,
-0.021640393882989883,
-0.10196735709905624,
-0.10940667241811752,
-0.06967721879482269,
0.07879582047462463,
0.004522894509136677,
-0.008105631917715073,
0.01500631682574749,
0.012228135950863361,
-0.001573029556311667,
-0.005027339793741703,
0.016471996903419495,
0.013357095420360565,
0.08548977971076965,
-0.047658443450927734,
-0.05675562843680382,
0.0276601891964674,
-0.04526635259389877,
0.015672767534852028,
-0.026194563135504723,
0.04629535228013992,
-0.07896478474140167,
0.045945268124341965,
-0.11287383735179901,
-0.024934208020567894,
-0.017426926642656326,
0.10121161490678787,
-0.0905609279870987,
0.09219907224178314,
0.07144224643707275,
0.0039703575894236565,
0.0007680353010073304,
-0.05360877886414528,
0.0731978714466095,
0.03180738538503647,
-0.04747340455651283,
0.007669185753911734,
0.02590099722146988,
0.03321542218327522,
0.0016959495842456818,
-0.019924631342291832,
-0.007135276682674885,
0.026482053101062775,
0.02236640825867653,
0.01629054918885231,
0.014843025244772434,
2.1558801492950917e-33,
-0.07274530827999115,
0.05133192241191864,
0.04327794909477234,
-0.014822338707745075,
-0.1658734828233719,
0.0241021029651165,
0.003114590421319008,
0.0714779943227768,
-0.027970749884843826,
0.03517476096749306,
0.060577575117349625,
0.003651253180578351,
0.008413096889853477,
0.0208671223372221,
-0.07138922065496445,
-0.09180057048797607,
0.08330879360437393,
0.09489253908395767,
-0.012270883657038212,
0.01399259828031063,
0.006097213365137577,
-0.015112439170479774,
-0.021050339564681053,
-0.058608222752809525,
-0.00882707443088293,
0.07919370383024216,
0.03300972655415535,
-0.043313201516866684,
-0.08569541573524475,
-0.022716239094734192,
0.07470948249101639,
0.004823436960577965,
0.01856919564306736,
0.032799333333969116,
-0.013304635882377625,
-0.0513138622045517,
0.02159329131245613,
-0.004256664775311947,
0.022472232580184937,
0.01567872241139412,
-0.0007167367148213089,
0.0468023344874382,
0.007764503825455904,
0.044217780232429504,
-0.039480507373809814,
-0.07807391881942749,
-0.08428610861301422,
-0.019417941570281982,
0.05362929031252861,
-0.07539846748113632,
0.030723869800567627,
0.03655333071947098,
-0.06726805120706558,
0.012216590344905853,
0.0741107165813446,
0.030834149569272995,
-0.007841452024877071,
0.02296174317598343,
0.05484934523701668,
-0.010203337296843529,
-0.03791087865829468,
-0.06687282025814056,
-0.018827328458428383,
0.024995582178235054,
0.007246540393680334,
0.07915389537811279,
-0.12860500812530518,
-0.0863756537437439,
-0.0055586546659469604,
0.061894118785858154,
-0.008053765632212162,
-0.0759013369679451,
0.0058626942336559296,
0.010197671130299568,
-0.0018277328927069902,
0.07237277925014496,
0.030356023460626602,
0.08088210970163345,
-0.057614464312791824,
-0.047344714403152466,
-0.0501638799905777,
-0.01627163216471672,
-0.04097441956400871,
0.027180170640349388,
0.022935612127184868,
-0.0678618773818016,
-0.028456619009375572,
0.044480666518211365,
0.023424528539180756,
-0.009931967593729496,
0.018005013465881348,
0.040197499096393585,
-0.04112701490521431,
-0.09467663615942001,
-0.009821253828704357,
-1.896180570090824e-33,
0.05847438424825668,
0.11306856572628021,
-0.08923374861478806,
-0.001700419234111905,
0.042585715651512146,
0.0799216628074646,
0.052585721015930176,
0.00829074252396822,
-0.07214628905057907,
0.03597887605428696,
-0.04554888606071472,
0.004163493402302265,
-0.025602862238883972,
0.056604452431201935,
-0.06728727370500565,
0.11939319968223572,
-0.027318794280290604,
-0.03238232061266899,
-0.009892476722598076,
0.011580164544284344,
0.12917056679725647,
0.09465623646974564,
0.05085892975330353,
-0.0005670040845870972,
-0.01677454449236393,
-0.034280724823474884,
-0.015945158898830414,
-0.02947450615465641,
0.004724540747702122,
-0.05771629512310028,
0.009364894591271877,
0.04207665100693703,
-0.020871076732873917,
-0.028654098510742188,
-0.08428905159235,
0.001722179469652474,
0.03185372054576874,
0.0804206132888794,
0.018741052597761154,
-0.002698382828384638,
-0.013855510391294956,
0.049489546567201614,
0.005839386489242315,
-0.01705743558704853,
-0.10365688055753708,
0.06660448014736176,
0.01681802049279213,
-0.038471292704343796,
0.0770566314458847,
0.017234478145837784,
-0.07815418392419815,
-0.05957896634936333,
0.03889964148402214,
0.014299781993031502,
-0.0033747092820703983,
-0.10143302381038666,
0.023842468857765198,
-0.008117559365928173,
0.014239261858165264,
0.015273491851985455,
0.10537848621606827,
-0.055955369025468826,
0.13439249992370605,
-0.11085915565490723,
-0.07139216363430023,
-0.037411462515592575,
0.07721593976020813,
-0.016914812847971916,
-0.00585546949878335,
-0.0680670365691185,
0.03543665260076523,
-0.006168801337480545,
0.10738853365182877,
0.04008375480771065,
-0.11539371311664581,
-0.007322018500417471,
0.0653475895524025,
-0.0037796366959810257,
-0.04011356458067894,
0.02521679922938347,
0.04664158076047897,
0.04085962846875191,
-0.07249537855386734,
0.06474067270755768,
0.08173913508653641,
0.013742763549089432,
0.010333172045648098,
0.045728348195552826,
0.0650109127163887,
0.021115193143486977,
-0.02434512786567211,
-0.02761848457157612,
0.08351932466030121,
-0.037589870393276215,
0.027258116751909256,
-4.632189032349743e-8,
-0.006816329434514046,
-0.0002007668954320252,
-0.02154090628027916,
0.03441113606095314,
-0.07096479833126068,
0.10747550427913666,
-0.06854094564914703,
0.06889563798904419,
0.003934432752430439,
-0.12513025104999542,
0.04211922362446785,
-0.06687198579311371,
0.051979824900627136,
0.044167179614305496,
0.08679134398698807,
0.01067365799099207,
0.05484379082918167,
-0.006589489057660103,
0.010907015763223171,
0.003507415996864438,
0.016202116385102272,
-0.011834626086056232,
-0.003059505484998226,
0.023852666839957237,
-0.05381851643323898,
0.020607497543096542,
0.05004313588142395,
0.006132637150585651,
0.024828940629959106,
-0.02174374647438526,
-0.07433813810348511,
0.02199644036591053,
0.05385451391339302,
0.007078653667122126,
-0.01699051447212696,
0.04828917235136032,
0.031881142407655716,
0.06609787791967392,
-0.05495988205075264,
0.029376043006777763,
-0.061998654156923294,
-0.03572852164506912,
-0.04018322750926018,
-0.015646081417798996,
-0.028732741251587868,
0.04635488986968994,
-0.026340292766690254,
-0.031284552067518234,
-0.04780486226081848,
0.02169083245098591,
0.022090675309300423,
-0.013610048219561577,
0.001702256966382265,
-0.08089810609817505,
0.06577285379171371,
0.07239309698343277,
-0.06018075719475746,
0.02598075196146965,
0.07629231363534927,
0.055806342512369156,
0.04263020679354668,
-0.0012832429492846131,
-0.016874141991138458,
-0.059113673865795135
] |
1401.7796
|
Jarah Evslin
|
Marco Grassi, Jarah Evslin, Emilio Ciuffoli, Xinmin Zhang
|
Showering Cosmogenic Muons in A Large Liquid Scintillator
|
24 pages, 18 figures, v4: Improved precision of bundle rates
|
JHEP 1409 (2014) 049
|
10.1007/JHEP09(2014)049
| null |
physics.ins-det hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the results of FLUKA simulations of the propagation of cosmogenic
muons in a 20 kton spherical liquid scintillator detector underneath 700 to 900
meters of rock. A showering muon is one which deposits at least 3 GeV in the
detector in addition to ionization energy. We find that 20 percent of muons are
showering and a further 10 percent of muon events are muon bundles of which
more than one muon enters the detector. In this range the showering and bundle
fractions are robust against changes in the depth and topography, thus the
total shower and bundle rate for a given experiment can be obtained by
combining our results with an estimate for the total muon flux. One consequence
is that a straightforward adaptation of the full detector showering muon cuts
used by KamLAND to JUNO or RENO 50 would yield a nearly vanishing detector
efficiency.
|
[
{
"created": "Thu, 30 Jan 2014 11:09:57 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2014 15:42:24 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Jul 2014 05:32:33 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Sep 2014 10:20:16 GMT",
"version": "v4"
}
] |
2015-11-05
|
[
[
"Grassi",
"Marco",
""
],
[
"Evslin",
"Jarah",
""
],
[
"Ciuffoli",
"Emilio",
""
],
[
"Zhang",
"Xinmin",
""
]
] |
[
-0.06978622078895569,
0.03740336000919342,
0.1117933914065361,
-0.06176290288567543,
0.1069299727678299,
-0.09094858914613724,
-0.002810086589306593,
0.0020313560962677,
0.01583551988005638,
-0.03960777074098587,
-0.01214671041816473,
-0.1415490061044693,
-0.001863502198830247,
0.05742523446679115,
-0.04357985034584999,
0.003790033981204033,
0.0463835671544075,
0.060275543481111526,
-0.04919347167015076,
0.015082385390996933,
-0.005507080350071192,
0.021588679403066635,
0.05633247643709183,
0.06963557749986649,
0.03287333622574806,
-0.08616438508033752,
-0.015034149400889874,
-0.019474826753139496,
0.03555845469236374,
0.02783356048166752,
0.03332141041755676,
0.01510685682296753,
-0.028054755181074142,
-0.019553108140826225,
0.007606924045830965,
-0.015333912335336208,
-0.0004536413471214473,
-0.06296426057815552,
0.026239143684506416,
0.06958919763565063,
-0.002920880215242505,
0.006633664481341839,
0.045214273035526276,
-0.001818208023905754,
0.0688619390130043,
-0.016866417601704597,
0.055025044828653336,
-0.13636897504329681,
0.010666498914361,
0.016849450767040253,
0.006532955914735794,
-0.02569691650569439,
-0.06715229898691177,
-0.006134213414043188,
-0.05621194466948509,
-0.031461216509342194,
-0.07904211431741714,
-0.09265114367008209,
0.07250574976205826,
0.009193203411996365,
0.030231354758143425,
-0.005778644699603319,
-0.030700819566845894,
-0.015186895616352558,
0.032779112458229065,
-0.013546154834330082,
-0.06945206969976425,
0.00808520708233118,
0.05475090071558952,
-0.06910137087106705,
0.003479759441688657,
0.07291271537542343,
-0.016659041866660118,
-0.11086197942495346,
-0.0208202563226223,
0.01931593380868435,
0.019612617790699005,
0.0729902908205986,
-0.03032512031495571,
-0.0630725547671318,
-0.018765989691019058,
-0.038684479892253876,
-0.04051773622632027,
-0.0713229849934578,
-0.03186001256108284,
-0.0239629615098238,
0.005592023022472858,
0.06859200447797775,
-0.027232592925429344,
-0.0041135745123028755,
0.02534482069313526,
-0.08846238255500793,
-0.09443349391222,
-0.016930393874645233,
0.003174235811457038,
0.052742671221494675,
-0.020926635712385178,
-0.026385964825749397,
0.038319189101457596,
0.0641857162117958,
-0.0010133603354915977,
-0.03436768800020218,
0.07033980637788773,
0.01724674180150032,
0.02261476032435894,
-0.056403763592243195,
0.057585787028074265,
0.059420064091682434,
0.015729060396552086,
-0.011203416623175144,
0.041795771569013596,
-0.023464227095246315,
-0.0228494293987751,
0.018725497648119926,
0.042974621057510376,
0.061587635427713394,
-0.02435433864593506,
0.1257316917181015,
-0.021154744550585747,
0.024039732292294502,
0.025126777589321136,
0.004178643226623535,
-0.03523138538002968,
0.05631230026483536,
0.02450951375067234,
0.054474666714668274,
-0.015962772071361542,
3.998326484886929e-33,
0.05438871681690216,
-0.04915667325258255,
-0.06703177839517593,
0.09805113822221756,
-0.04807130619883537,
0.01752791553735733,
-0.06286801397800446,
0.009131459519267082,
-0.07383541017770767,
-0.031821295619010925,
-0.06064383685588837,
0.06797962635755539,
-0.03323528543114662,
0.005288785323500633,
-0.02638315223157406,
-0.04538503661751747,
0.04620680585503578,
-0.01630742847919464,
-0.05848691985011101,
0.027964822947978973,
0.027359990403056145,
-0.00009159355249721557,
-0.05801902711391449,
-0.05490458011627197,
0.04264553263783455,
0.05726338550448418,
-0.08890261501073837,
0.006791323889046907,
-0.07961061596870422,
0.030895709991455078,
-0.01534108817577362,
0.021848497912287712,
0.022424237802624702,
0.10595812648534775,
-0.06350941956043243,
0.028035588562488556,
-0.046638041734695435,
0.014482630416750908,
0.027965296059846878,
-0.05364624783396721,
0.0013538170605897903,
0.049365025013685226,
-0.04148353636264801,
-0.018106980249285698,
-0.011085215024650097,
0.018460022285580635,
0.06247277185320854,
-0.04893367737531662,
0.04573005810379982,
0.0019325069151818752,
-0.0048058838583528996,
-0.0388912595808506,
-0.074922576546669,
0.08181695640087128,
0.07219269126653671,
-0.012611757032573223,
0.058755021542310715,
-0.052164144814014435,
0.015541928820312023,
0.03590119257569313,
-0.030543912202119827,
0.03871595486998558,
0.006568428594619036,
0.03944386541843414,
-0.021536128595471382,
0.056746624410152435,
-0.027388524264097214,
0.033499933779239655,
0.01022422220557928,
0.06407652795314789,
-0.07495338469743729,
0.06823454797267914,
-0.05841456726193428,
-0.042435500770807266,
0.018015911802649498,
-0.04852249100804329,
0.07173557579517365,
-0.035807155072689056,
0.014258393086493015,
0.08799440413713455,
-0.03681248053908348,
-0.02830672822892666,
0.0328439325094223,
-0.04229067265987396,
-0.03921721875667572,
0.055331818759441376,
-0.030442355200648308,
0.019883204251527786,
0.029880838468670845,
-0.03928401693701744,
0.01014724187552929,
0.009452303871512413,
0.06558290868997574,
-0.08139042556285858,
-0.03639410808682442,
-4.132687693237824e-33,
0.03483603522181511,
-0.020888803526759148,
0.016547080129384995,
0.12751848995685577,
-0.03976370021700859,
0.09149977564811707,
0.060378700494766235,
0.024969596415758133,
-0.06752212345600128,
-0.049674469977617264,
-0.05365665256977081,
0.028356891125440598,
-0.06998024135828018,
-0.08696833997964859,
0.029696103185415268,
0.026126127690076828,
0.044953323900699615,
-0.019716084003448486,
0.002801167778670788,
0.007157881278544664,
0.009695779532194138,
0.03841353580355644,
-0.044275764375925064,
-0.0839618593454361,
-0.004201129544526339,
0.059081654995679855,
0.024967389181256294,
-0.04523183032870293,
-0.005922605749219656,
-0.047576241195201874,
-0.15965355932712555,
0.018429908901453018,
-0.01550386380404234,
-0.03390996530652046,
0.0030871836934238672,
-0.025279387831687927,
0.17085707187652588,
0.07803180068731308,
-0.12086009979248047,
-0.05146873742341995,
0.00590701075270772,
0.09122882038354874,
-0.010288691148161888,
0.09559740871191025,
-0.012448256835341454,
0.08244519680738449,
0.05781177058815956,
-0.01605328731238842,
-0.020358724519610405,
0.029388880357146263,
-0.028817802667617798,
-0.08574878424406052,
-0.009663430973887444,
0.041647523641586304,
-0.04805419594049454,
0.021305212751030922,
-0.015841936692595482,
0.0776580274105072,
-0.07794423401355743,
-0.03203277662396431,
-0.03472857177257538,
-0.07273447513580322,
-0.03325904533267021,
-0.040943119674921036,
-0.010374066419899464,
0.03171205893158913,
0.00973757915198803,
0.139064759016037,
-0.01912720873951912,
-0.030558906495571136,
0.06275741755962372,
-0.029050707817077637,
0.05608979985117912,
-0.07658786326646805,
0.040757279843091965,
0.060170918703079224,
0.002571580233052373,
-0.08281990140676498,
0.04825594648718834,
0.016428129747509956,
-0.01596892811357975,
0.09600894898176193,
-0.029239028692245483,
-0.038571346551179886,
0.1077282577753067,
-0.030039705336093903,
-0.01408291608095169,
-0.05447496846318245,
0.031208284199237823,
-0.08988359570503235,
0.023896878585219383,
-0.0028554622549563646,
0.043769471347332,
0.010933694429695606,
0.07609538733959198,
-4.3604185151480124e-8,
0.04614656791090965,
0.012227015569806099,
-0.08477997034788132,
-0.003157008206471801,
0.041749078780412674,
0.01932048797607422,
-0.017128152772784233,
0.10335149616003036,
-0.02423655241727829,
-0.043396271765232086,
-0.015483107417821884,
-0.027970867231488228,
-0.002049506874755025,
0.005974970292299986,
0.006310183554887772,
0.018026623874902725,
-0.028114916756749153,
-0.02413748763501644,
-0.016186658293008804,
0.08549826592206955,
0.062041446566581726,
0.053109973669052124,
0.042345743626356125,
0.022959323599934578,
-0.051087018102407455,
0.06326249986886978,
0.018549131229519844,
0.06035231426358223,
0.022982047870755196,
-0.08935651928186417,
-0.04040791839361191,
-0.08484044671058655,
-0.04689604789018631,
0.07804711908102036,
0.003231921698898077,
0.045374542474746704,
-0.05713163688778877,
0.008280527777969837,
0.004846417810767889,
0.06811133027076721,
-0.020041722804307938,
-0.06675780564546585,
0.0008126585744321346,
0.00830595288425684,
-0.04528862610459328,
0.061875179409980774,
-0.02690834179520607,
-0.07052451372146606,
-0.03950129449367523,
0.08070868998765945,
0.05284075438976288,
0.037632521241903305,
-0.0031831907108426094,
0.01433485560119152,
0.003867764724418521,
0.031776852905750275,
0.04235982149839401,
-0.0637417733669281,
-0.07986517250537872,
0.02379292994737625,
0.0390988327562809,
-0.0770779624581337,
-0.10662508010864258,
-0.06686998903751373
] | null | null | null | null | null | null | null |
[
-0.06978622078895569,
0.03740336000919342,
0.1117933914065361,
-0.06176290288567543,
0.1069299727678299,
-0.09094858914613724,
-0.002810086589306593,
0.0020313560962677,
0.01583551988005638,
-0.03960777074098587,
-0.01214671041816473,
-0.1415490061044693,
-0.001863502198830247,
0.05742523446679115,
-0.04357985034584999,
0.003790033981204033,
0.0463835671544075,
0.060275543481111526,
-0.04919347167015076,
0.015082385390996933,
-0.005507080350071192,
0.021588679403066635,
0.05633247643709183,
0.06963557749986649,
0.03287333622574806,
-0.08616438508033752,
-0.015034149400889874,
-0.019474826753139496,
0.03555845469236374,
0.02783356048166752,
0.03332141041755676,
0.01510685682296753,
-0.028054755181074142,
-0.019553108140826225,
0.007606924045830965,
-0.015333912335336208,
-0.0004536413471214473,
-0.06296426057815552,
0.026239143684506416,
0.06958919763565063,
-0.002920880215242505,
0.006633664481341839,
0.045214273035526276,
-0.001818208023905754,
0.0688619390130043,
-0.016866417601704597,
0.055025044828653336,
-0.13636897504329681,
0.010666498914361,
0.016849450767040253,
0.006532955914735794,
-0.02569691650569439,
-0.06715229898691177,
-0.006134213414043188,
-0.05621194466948509,
-0.031461216509342194,
-0.07904211431741714,
-0.09265114367008209,
0.07250574976205826,
0.009193203411996365,
0.030231354758143425,
-0.005778644699603319,
-0.030700819566845894,
-0.015186895616352558,
0.032779112458229065,
-0.013546154834330082,
-0.06945206969976425,
0.00808520708233118,
0.05475090071558952,
-0.06910137087106705,
0.003479759441688657,
0.07291271537542343,
-0.016659041866660118,
-0.11086197942495346,
-0.0208202563226223,
0.01931593380868435,
0.019612617790699005,
0.0729902908205986,
-0.03032512031495571,
-0.0630725547671318,
-0.018765989691019058,
-0.038684479892253876,
-0.04051773622632027,
-0.0713229849934578,
-0.03186001256108284,
-0.0239629615098238,
0.005592023022472858,
0.06859200447797775,
-0.027232592925429344,
-0.0041135745123028755,
0.02534482069313526,
-0.08846238255500793,
-0.09443349391222,
-0.016930393874645233,
0.003174235811457038,
0.052742671221494675,
-0.020926635712385178,
-0.026385964825749397,
0.038319189101457596,
0.0641857162117958,
-0.0010133603354915977,
-0.03436768800020218,
0.07033980637788773,
0.01724674180150032,
0.02261476032435894,
-0.056403763592243195,
0.057585787028074265,
0.059420064091682434,
0.015729060396552086,
-0.011203416623175144,
0.041795771569013596,
-0.023464227095246315,
-0.0228494293987751,
0.018725497648119926,
0.042974621057510376,
0.061587635427713394,
-0.02435433864593506,
0.1257316917181015,
-0.021154744550585747,
0.024039732292294502,
0.025126777589321136,
0.004178643226623535,
-0.03523138538002968,
0.05631230026483536,
0.02450951375067234,
0.054474666714668274,
-0.015962772071361542,
3.998326484886929e-33,
0.05438871681690216,
-0.04915667325258255,
-0.06703177839517593,
0.09805113822221756,
-0.04807130619883537,
0.01752791553735733,
-0.06286801397800446,
0.009131459519267082,
-0.07383541017770767,
-0.031821295619010925,
-0.06064383685588837,
0.06797962635755539,
-0.03323528543114662,
0.005288785323500633,
-0.02638315223157406,
-0.04538503661751747,
0.04620680585503578,
-0.01630742847919464,
-0.05848691985011101,
0.027964822947978973,
0.027359990403056145,
-0.00009159355249721557,
-0.05801902711391449,
-0.05490458011627197,
0.04264553263783455,
0.05726338550448418,
-0.08890261501073837,
0.006791323889046907,
-0.07961061596870422,
0.030895709991455078,
-0.01534108817577362,
0.021848497912287712,
0.022424237802624702,
0.10595812648534775,
-0.06350941956043243,
0.028035588562488556,
-0.046638041734695435,
0.014482630416750908,
0.027965296059846878,
-0.05364624783396721,
0.0013538170605897903,
0.049365025013685226,
-0.04148353636264801,
-0.018106980249285698,
-0.011085215024650097,
0.018460022285580635,
0.06247277185320854,
-0.04893367737531662,
0.04573005810379982,
0.0019325069151818752,
-0.0048058838583528996,
-0.0388912595808506,
-0.074922576546669,
0.08181695640087128,
0.07219269126653671,
-0.012611757032573223,
0.058755021542310715,
-0.052164144814014435,
0.015541928820312023,
0.03590119257569313,
-0.030543912202119827,
0.03871595486998558,
0.006568428594619036,
0.03944386541843414,
-0.021536128595471382,
0.056746624410152435,
-0.027388524264097214,
0.033499933779239655,
0.01022422220557928,
0.06407652795314789,
-0.07495338469743729,
0.06823454797267914,
-0.05841456726193428,
-0.042435500770807266,
0.018015911802649498,
-0.04852249100804329,
0.07173557579517365,
-0.035807155072689056,
0.014258393086493015,
0.08799440413713455,
-0.03681248053908348,
-0.02830672822892666,
0.0328439325094223,
-0.04229067265987396,
-0.03921721875667572,
0.055331818759441376,
-0.030442355200648308,
0.019883204251527786,
0.029880838468670845,
-0.03928401693701744,
0.01014724187552929,
0.009452303871512413,
0.06558290868997574,
-0.08139042556285858,
-0.03639410808682442,
-4.132687693237824e-33,
0.03483603522181511,
-0.020888803526759148,
0.016547080129384995,
0.12751848995685577,
-0.03976370021700859,
0.09149977564811707,
0.060378700494766235,
0.024969596415758133,
-0.06752212345600128,
-0.049674469977617264,
-0.05365665256977081,
0.028356891125440598,
-0.06998024135828018,
-0.08696833997964859,
0.029696103185415268,
0.026126127690076828,
0.044953323900699615,
-0.019716084003448486,
0.002801167778670788,
0.007157881278544664,
0.009695779532194138,
0.03841353580355644,
-0.044275764375925064,
-0.0839618593454361,
-0.004201129544526339,
0.059081654995679855,
0.024967389181256294,
-0.04523183032870293,
-0.005922605749219656,
-0.047576241195201874,
-0.15965355932712555,
0.018429908901453018,
-0.01550386380404234,
-0.03390996530652046,
0.0030871836934238672,
-0.025279387831687927,
0.17085707187652588,
0.07803180068731308,
-0.12086009979248047,
-0.05146873742341995,
0.00590701075270772,
0.09122882038354874,
-0.010288691148161888,
0.09559740871191025,
-0.012448256835341454,
0.08244519680738449,
0.05781177058815956,
-0.01605328731238842,
-0.020358724519610405,
0.029388880357146263,
-0.028817802667617798,
-0.08574878424406052,
-0.009663430973887444,
0.041647523641586304,
-0.04805419594049454,
0.021305212751030922,
-0.015841936692595482,
0.0776580274105072,
-0.07794423401355743,
-0.03203277662396431,
-0.03472857177257538,
-0.07273447513580322,
-0.03325904533267021,
-0.040943119674921036,
-0.010374066419899464,
0.03171205893158913,
0.00973757915198803,
0.139064759016037,
-0.01912720873951912,
-0.030558906495571136,
0.06275741755962372,
-0.029050707817077637,
0.05608979985117912,
-0.07658786326646805,
0.040757279843091965,
0.060170918703079224,
0.002571580233052373,
-0.08281990140676498,
0.04825594648718834,
0.016428129747509956,
-0.01596892811357975,
0.09600894898176193,
-0.029239028692245483,
-0.038571346551179886,
0.1077282577753067,
-0.030039705336093903,
-0.01408291608095169,
-0.05447496846318245,
0.031208284199237823,
-0.08988359570503235,
0.023896878585219383,
-0.0028554622549563646,
0.043769471347332,
0.010933694429695606,
0.07609538733959198,
-4.3604185151480124e-8,
0.04614656791090965,
0.012227015569806099,
-0.08477997034788132,
-0.003157008206471801,
0.041749078780412674,
0.01932048797607422,
-0.017128152772784233,
0.10335149616003036,
-0.02423655241727829,
-0.043396271765232086,
-0.015483107417821884,
-0.027970867231488228,
-0.002049506874755025,
0.005974970292299986,
0.006310183554887772,
0.018026623874902725,
-0.028114916756749153,
-0.02413748763501644,
-0.016186658293008804,
0.08549826592206955,
0.062041446566581726,
0.053109973669052124,
0.042345743626356125,
0.022959323599934578,
-0.051087018102407455,
0.06326249986886978,
0.018549131229519844,
0.06035231426358223,
0.022982047870755196,
-0.08935651928186417,
-0.04040791839361191,
-0.08484044671058655,
-0.04689604789018631,
0.07804711908102036,
0.003231921698898077,
0.045374542474746704,
-0.05713163688778877,
0.008280527777969837,
0.004846417810767889,
0.06811133027076721,
-0.020041722804307938,
-0.06675780564546585,
0.0008126585744321346,
0.00830595288425684,
-0.04528862610459328,
0.061875179409980774,
-0.02690834179520607,
-0.07052451372146606,
-0.03950129449367523,
0.08070868998765945,
0.05284075438976288,
0.037632521241903305,
-0.0031831907108426094,
0.01433485560119152,
0.003867764724418521,
0.031776852905750275,
0.04235982149839401,
-0.0637417733669281,
-0.07986517250537872,
0.02379292994737625,
0.0390988327562809,
-0.0770779624581337,
-0.10662508010864258,
-0.06686998903751373
] |
1401.7798
|
Lorenzo Pareschi
|
Giacomo Albi, Michael Herty, Lorenzo Pareschi
|
Kinetic description of optimal control problems and applications to
opinion consensus
|
25 pages, 18 figures
| null | null | null |
math.OC nlin.AO physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper an optimal control problem for a large system of interacting
agents is considered using a kinetic perspective. As a prototype model we
analyze a microscopic model of opinion formation under constraints. For this
problem a Boltzmann-type equation based on a model predictive control
formulation is introduced and discussed. In particular, the receding horizon
strategy permits to embed the minimization of suitable cost functional into
binary particle interactions. The corresponding Fokker-Planck asymptotic limit
is also derived and explicit expressions of stationary solutions are given.
Several numerical results showing the robustness of the present approach are
finally reported.
|
[
{
"created": "Thu, 30 Jan 2014 11:14:28 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Albi",
"Giacomo",
""
],
[
"Herty",
"Michael",
""
],
[
"Pareschi",
"Lorenzo",
""
]
] |
[
-0.0017517561791464686,
-0.022697191685438156,
-0.013992076739668846,
0.033414311707019806,
0.03477570042014122,
0.03142538294196129,
0.06142706796526909,
0.08484836667776108,
0.10902318358421326,
0.07567880302667618,
-0.02134735882282257,
-0.08089622110128403,
-0.0065555390901863575,
0.02525956556200981,
-0.06125670298933983,
0.010692929849028587,
0.07723670452833176,
-0.009416552260518074,
-0.04669632762670517,
-0.01224320288747549,
-0.1083320751786232,
0.014639917761087418,
-0.025033487007021904,
0.016957806423306465,
-0.025622641667723656,
-0.045291122049093246,
0.019908981397747993,
0.02218765579164028,
-0.014873022213578224,
-0.021356428042054176,
0.10436804592609406,
-0.033522963523864746,
0.0762719139456749,
0.01810244470834732,
-0.06221138685941696,
0.042387716472148895,
-0.11520117521286011,
-0.035427484661340714,
-0.10854105651378632,
0.02516605705022812,
-0.0391310378909111,
0.046836063265800476,
-0.07639719545841217,
-0.06411733478307724,
0.1119602769613266,
0.061357926577329636,
0.029342377558350563,
0.05341879650950432,
0.034441422671079636,
0.00340994237922132,
-0.06419229507446289,
-0.026432985439896584,
-0.04016295075416565,
0.0316610187292099,
0.03671233728528023,
-0.09716632962226868,
0.009621446020901203,
-0.014889055863022804,
0.04456717148423195,
-0.040616534650325775,
0.025798287242650986,
-0.08965825289487839,
-0.040637485682964325,
-0.031070778146386147,
-0.00713239936158061,
0.021275799721479416,
0.008355412632226944,
-0.019773006439208984,
-0.06780500710010529,
0.07256973534822464,
0.024198856204748154,
-0.024716611951589584,
-0.08337295800447464,
-0.06203818321228027,
0.03450411558151245,
-0.029601983726024628,
0.03942224383354187,
0.008007742464542389,
0.02961619384586811,
0.05021795257925987,
0.030867796391248703,
-0.000666155363433063,
-0.00018776535580400378,
-0.07136186957359314,
-0.031873274594545364,
-0.06253579258918762,
-0.006206362042576075,
0.057955268770456314,
0.14539320766925812,
0.02190990373492241,
-0.12348638474941254,
-0.018414104357361794,
0.06430195271968842,
-0.03414791077375412,
0.019978411495685577,
0.023570306599140167,
-0.0011467328295111656,
-0.020182913169264793,
0.027670959010720253,
0.05467412993311882,
-0.04596824571490288,
-0.04432171583175659,
-0.024160118773579597,
0.029013898223638535,
0.06482569128274918,
-0.06626778841018677,
0.012640547007322311,
0.03752536699175835,
0.012685527093708515,
0.00962204858660698,
-0.012134701013565063,
0.008565826341509819,
-0.005655497312545776,
0.0263688825070858,
0.0016555053880438209,
0.004619127605110407,
0.11339510977268219,
-0.010050559416413307,
-0.06404891610145569,
0.02664651721715927,
0.0266574714332819,
-0.08187447488307953,
-0.04610947147011757,
-0.007634017616510391,
0.026602623984217644,
-0.016241608187556267,
-0.017398761585354805,
2.212828396570868e-34,
-0.04402909427881241,
-0.035944245755672455,
0.04066748917102814,
-0.02075028419494629,
-0.009468450210988522,
0.05162423476576805,
-0.016441795974969864,
-0.07495282590389252,
-0.008319543674588203,
-0.06248610094189644,
0.04021121561527252,
0.005524629261344671,
-0.02997383289039135,
0.029122229665517807,
0.012754195369780064,
-0.04706820100545883,
-0.027805188670754433,
0.0734817311167717,
0.0047295838594436646,
-0.07446499913930893,
-0.024637453258037567,
-0.0202473234385252,
-0.04467343911528587,
-0.014453784562647343,
-0.016755854710936546,
-0.027204155921936035,
0.02941950224339962,
-0.03026707097887993,
0.031300581991672516,
-0.03842402249574661,
-0.016016658395528793,
0.028305931016802788,
-0.032762084156274796,
-0.016864009201526642,
0.003354785032570362,
0.04813608154654503,
-0.04279549419879913,
0.0013839207822456956,
-0.010390674695372581,
-0.01762452721595764,
0.025771163403987885,
0.08507417142391205,
-0.028710490092635155,
-0.06096530705690384,
-0.06004998832941055,
0.09361466765403748,
0.0011996774701401591,
0.011268981732428074,
-0.11295032501220703,
-0.030964726582169533,
-0.0008268964593298733,
-0.016515079885721207,
0.03219511732459068,
0.0226898193359375,
0.046396709978580475,
-0.0018841599812731147,
-0.00313958921469748,
0.003079577349126339,
-0.04049144685268402,
0.01109598483890295,
-0.034605950117111206,
0.04450788348913193,
0.09168429672718048,
0.01109623908996582,
0.08580856025218964,
0.038847148418426514,
-0.06973833590745926,
0.07375724613666534,
0.015906047075986862,
-0.06880597770214081,
0.05607089400291443,
0.07975135743618011,
0.04051325097680092,
-0.09010475128889084,
-0.024552710354328156,
-0.05234949290752411,
0.04394402727484703,
-0.041222166270017624,
-0.017475726082921028,
0.002230379031971097,
-0.04555896297097206,
-0.11477038264274597,
-0.07368258386850357,
-0.005923382472246885,
-0.060318898409605026,
-0.025848332792520523,
-0.003310740925371647,
0.020435895770788193,
-0.057429760694503784,
0.029913656413555145,
-0.13439765572547913,
0.01127411425113678,
-0.0032354143913835287,
0.08242835849523544,
-0.004443241748958826,
-3.331188257731171e-33,
-0.019896630197763443,
0.006882106885313988,
-0.03969353064894676,
-0.016532979905605316,
-0.00970449298620224,
0.06680232286453247,
-0.08886344730854034,
0.010234241373836994,
-0.0035408034455031157,
-0.018847187981009483,
-0.027246028184890747,
0.0005591601366177201,
0.04391579329967499,
0.004713954869657755,
0.01899266615509987,
-0.05628284066915512,
-0.007349043153226376,
-0.002522111404687166,
0.08523575961589813,
0.012229369953274727,
-0.10781855136156082,
-0.011346485465765,
0.004528663586825132,
0.027979498729109764,
0.00733928894624114,
0.015174036845564842,
0.021190037950873375,
0.10373537987470627,
-0.023353438824415207,
-0.005124300252646208,
-0.11726047843694687,
-0.006529076490551233,
-0.0493854358792305,
0.03612927347421646,
-0.015848323702812195,
0.017179248854517937,
0.029690982773900032,
0.04694359004497528,
0.08924487233161926,
0.061430010944604874,
-0.007472756318747997,
-0.0633082240819931,
-0.07371470332145691,
0.027223270386457443,
0.009819893166422844,
-0.01885434053838253,
0.006785703357309103,
0.06086654216051102,
0.09026574343442917,
-0.013767728582024574,
-0.018791576847434044,
0.0369279719889164,
-0.03594087064266205,
0.04991275072097778,
-0.09684999287128448,
0.045520566403865814,
-0.015194561332464218,
0.0036769541911780834,
0.09963703155517578,
-0.09299726784229279,
-0.035972531884908676,
0.022576605901122093,
0.03021829016506672,
0.06084081158041954,
-0.011690955609083176,
-0.04621695354580879,
-0.04846736416220665,
0.01768748089671135,
0.11781208217144012,
-0.03141004964709282,
0.011946158483624458,
0.03746752813458443,
0.13623540103435516,
0.04218151420354843,
0.08803243935108185,
-0.027010798454284668,
0.06309729069471359,
-0.040815647691488266,
0.03645973280072212,
-0.016727324575185776,
-0.09435723721981049,
0.16918650269508362,
0.07992568612098694,
-0.07168750464916229,
-0.013242571614682674,
-0.04417053982615471,
-0.014678285457193851,
0.028310080990195274,
0.013784213922917843,
-0.022743839770555496,
0.013427214697003365,
-0.0643988624215126,
0.18161937594413757,
-0.01852346397936344,
-0.11792489141225815,
-4.7164480321271185e-8,
0.03401914983987808,
-0.03977496549487114,
0.03731643036007881,
-0.005464730318635702,
0.015397683717310429,
0.04851364716887474,
0.024136360734701157,
-0.05417293682694435,
-0.013542016968131065,
0.10452397167682648,
0.06767816096544266,
0.09343232959508896,
0.010487478226423264,
0.0029721874743700027,
-0.02479560300707817,
0.0492309145629406,
-0.04255163297057152,
-0.06581457704305649,
0.013471431098878384,
-0.02294291742146015,
0.029048124328255653,
-0.014438861049711704,
-0.011975823901593685,
0.07536789029836655,
-0.011565129272639751,
0.07942121475934982,
0.00849790871143341,
-0.0572323240339756,
-0.09507288783788681,
0.08177215605974197,
-0.07238370180130005,
0.039993975311517715,
-0.01671864651143551,
0.0405285619199276,
0.026443779468536377,
-0.05695110186934471,
-0.020455963909626007,
-0.0031753340736031532,
-0.022104019299149513,
-0.07027554512023926,
-0.04209804907441139,
0.06114291772246361,
-0.08099271357059479,
-0.05632813274860382,
0.01843825913965702,
0.050550587475299835,
0.0026369555853307247,
-0.006671488750725985,
0.12596644461154938,
0.03280132636427879,
-0.006232059095054865,
0.0651528462767601,
-0.0340987965464592,
0.005852218717336655,
0.012919648550450802,
0.03416047245264053,
-0.007796206045895815,
-0.04395568370819092,
0.052193742245435715,
-0.03420548513531685,
-0.021153075620532036,
0.01432838011533022,
-0.060835450887680054,
0.013211910612881184
] | null | null | null | null | null | null | null |
[
-0.0017517561791464686,
-0.022697191685438156,
-0.013992076739668846,
0.033414311707019806,
0.03477570042014122,
0.03142538294196129,
0.06142706796526909,
0.08484836667776108,
0.10902318358421326,
0.07567880302667618,
-0.02134735882282257,
-0.08089622110128403,
-0.0065555390901863575,
0.02525956556200981,
-0.06125670298933983,
0.010692929849028587,
0.07723670452833176,
-0.009416552260518074,
-0.04669632762670517,
-0.01224320288747549,
-0.1083320751786232,
0.014639917761087418,
-0.025033487007021904,
0.016957806423306465,
-0.025622641667723656,
-0.045291122049093246,
0.019908981397747993,
0.02218765579164028,
-0.014873022213578224,
-0.021356428042054176,
0.10436804592609406,
-0.033522963523864746,
0.0762719139456749,
0.01810244470834732,
-0.06221138685941696,
0.042387716472148895,
-0.11520117521286011,
-0.035427484661340714,
-0.10854105651378632,
0.02516605705022812,
-0.0391310378909111,
0.046836063265800476,
-0.07639719545841217,
-0.06411733478307724,
0.1119602769613266,
0.061357926577329636,
0.029342377558350563,
0.05341879650950432,
0.034441422671079636,
0.00340994237922132,
-0.06419229507446289,
-0.026432985439896584,
-0.04016295075416565,
0.0316610187292099,
0.03671233728528023,
-0.09716632962226868,
0.009621446020901203,
-0.014889055863022804,
0.04456717148423195,
-0.040616534650325775,
0.025798287242650986,
-0.08965825289487839,
-0.040637485682964325,
-0.031070778146386147,
-0.00713239936158061,
0.021275799721479416,
0.008355412632226944,
-0.019773006439208984,
-0.06780500710010529,
0.07256973534822464,
0.024198856204748154,
-0.024716611951589584,
-0.08337295800447464,
-0.06203818321228027,
0.03450411558151245,
-0.029601983726024628,
0.03942224383354187,
0.008007742464542389,
0.02961619384586811,
0.05021795257925987,
0.030867796391248703,
-0.000666155363433063,
-0.00018776535580400378,
-0.07136186957359314,
-0.031873274594545364,
-0.06253579258918762,
-0.006206362042576075,
0.057955268770456314,
0.14539320766925812,
0.02190990373492241,
-0.12348638474941254,
-0.018414104357361794,
0.06430195271968842,
-0.03414791077375412,
0.019978411495685577,
0.023570306599140167,
-0.0011467328295111656,
-0.020182913169264793,
0.027670959010720253,
0.05467412993311882,
-0.04596824571490288,
-0.04432171583175659,
-0.024160118773579597,
0.029013898223638535,
0.06482569128274918,
-0.06626778841018677,
0.012640547007322311,
0.03752536699175835,
0.012685527093708515,
0.00962204858660698,
-0.012134701013565063,
0.008565826341509819,
-0.005655497312545776,
0.0263688825070858,
0.0016555053880438209,
0.004619127605110407,
0.11339510977268219,
-0.010050559416413307,
-0.06404891610145569,
0.02664651721715927,
0.0266574714332819,
-0.08187447488307953,
-0.04610947147011757,
-0.007634017616510391,
0.026602623984217644,
-0.016241608187556267,
-0.017398761585354805,
2.212828396570868e-34,
-0.04402909427881241,
-0.035944245755672455,
0.04066748917102814,
-0.02075028419494629,
-0.009468450210988522,
0.05162423476576805,
-0.016441795974969864,
-0.07495282590389252,
-0.008319543674588203,
-0.06248610094189644,
0.04021121561527252,
0.005524629261344671,
-0.02997383289039135,
0.029122229665517807,
0.012754195369780064,
-0.04706820100545883,
-0.027805188670754433,
0.0734817311167717,
0.0047295838594436646,
-0.07446499913930893,
-0.024637453258037567,
-0.0202473234385252,
-0.04467343911528587,
-0.014453784562647343,
-0.016755854710936546,
-0.027204155921936035,
0.02941950224339962,
-0.03026707097887993,
0.031300581991672516,
-0.03842402249574661,
-0.016016658395528793,
0.028305931016802788,
-0.032762084156274796,
-0.016864009201526642,
0.003354785032570362,
0.04813608154654503,
-0.04279549419879913,
0.0013839207822456956,
-0.010390674695372581,
-0.01762452721595764,
0.025771163403987885,
0.08507417142391205,
-0.028710490092635155,
-0.06096530705690384,
-0.06004998832941055,
0.09361466765403748,
0.0011996774701401591,
0.011268981732428074,
-0.11295032501220703,
-0.030964726582169533,
-0.0008268964593298733,
-0.016515079885721207,
0.03219511732459068,
0.0226898193359375,
0.046396709978580475,
-0.0018841599812731147,
-0.00313958921469748,
0.003079577349126339,
-0.04049144685268402,
0.01109598483890295,
-0.034605950117111206,
0.04450788348913193,
0.09168429672718048,
0.01109623908996582,
0.08580856025218964,
0.038847148418426514,
-0.06973833590745926,
0.07375724613666534,
0.015906047075986862,
-0.06880597770214081,
0.05607089400291443,
0.07975135743618011,
0.04051325097680092,
-0.09010475128889084,
-0.024552710354328156,
-0.05234949290752411,
0.04394402727484703,
-0.041222166270017624,
-0.017475726082921028,
0.002230379031971097,
-0.04555896297097206,
-0.11477038264274597,
-0.07368258386850357,
-0.005923382472246885,
-0.060318898409605026,
-0.025848332792520523,
-0.003310740925371647,
0.020435895770788193,
-0.057429760694503784,
0.029913656413555145,
-0.13439765572547913,
0.01127411425113678,
-0.0032354143913835287,
0.08242835849523544,
-0.004443241748958826,
-3.331188257731171e-33,
-0.019896630197763443,
0.006882106885313988,
-0.03969353064894676,
-0.016532979905605316,
-0.00970449298620224,
0.06680232286453247,
-0.08886344730854034,
0.010234241373836994,
-0.0035408034455031157,
-0.018847187981009483,
-0.027246028184890747,
0.0005591601366177201,
0.04391579329967499,
0.004713954869657755,
0.01899266615509987,
-0.05628284066915512,
-0.007349043153226376,
-0.002522111404687166,
0.08523575961589813,
0.012229369953274727,
-0.10781855136156082,
-0.011346485465765,
0.004528663586825132,
0.027979498729109764,
0.00733928894624114,
0.015174036845564842,
0.021190037950873375,
0.10373537987470627,
-0.023353438824415207,
-0.005124300252646208,
-0.11726047843694687,
-0.006529076490551233,
-0.0493854358792305,
0.03612927347421646,
-0.015848323702812195,
0.017179248854517937,
0.029690982773900032,
0.04694359004497528,
0.08924487233161926,
0.061430010944604874,
-0.007472756318747997,
-0.0633082240819931,
-0.07371470332145691,
0.027223270386457443,
0.009819893166422844,
-0.01885434053838253,
0.006785703357309103,
0.06086654216051102,
0.09026574343442917,
-0.013767728582024574,
-0.018791576847434044,
0.0369279719889164,
-0.03594087064266205,
0.04991275072097778,
-0.09684999287128448,
0.045520566403865814,
-0.015194561332464218,
0.0036769541911780834,
0.09963703155517578,
-0.09299726784229279,
-0.035972531884908676,
0.022576605901122093,
0.03021829016506672,
0.06084081158041954,
-0.011690955609083176,
-0.04621695354580879,
-0.04846736416220665,
0.01768748089671135,
0.11781208217144012,
-0.03141004964709282,
0.011946158483624458,
0.03746752813458443,
0.13623540103435516,
0.04218151420354843,
0.08803243935108185,
-0.027010798454284668,
0.06309729069471359,
-0.040815647691488266,
0.03645973280072212,
-0.016727324575185776,
-0.09435723721981049,
0.16918650269508362,
0.07992568612098694,
-0.07168750464916229,
-0.013242571614682674,
-0.04417053982615471,
-0.014678285457193851,
0.028310080990195274,
0.013784213922917843,
-0.022743839770555496,
0.013427214697003365,
-0.0643988624215126,
0.18161937594413757,
-0.01852346397936344,
-0.11792489141225815,
-4.7164480321271185e-8,
0.03401914983987808,
-0.03977496549487114,
0.03731643036007881,
-0.005464730318635702,
0.015397683717310429,
0.04851364716887474,
0.024136360734701157,
-0.05417293682694435,
-0.013542016968131065,
0.10452397167682648,
0.06767816096544266,
0.09343232959508896,
0.010487478226423264,
0.0029721874743700027,
-0.02479560300707817,
0.0492309145629406,
-0.04255163297057152,
-0.06581457704305649,
0.013471431098878384,
-0.02294291742146015,
0.029048124328255653,
-0.014438861049711704,
-0.011975823901593685,
0.07536789029836655,
-0.011565129272639751,
0.07942121475934982,
0.00849790871143341,
-0.0572323240339756,
-0.09507288783788681,
0.08177215605974197,
-0.07238370180130005,
0.039993975311517715,
-0.01671864651143551,
0.0405285619199276,
0.026443779468536377,
-0.05695110186934471,
-0.020455963909626007,
-0.0031753340736031532,
-0.022104019299149513,
-0.07027554512023926,
-0.04209804907441139,
0.06114291772246361,
-0.08099271357059479,
-0.05632813274860382,
0.01843825913965702,
0.050550587475299835,
0.0026369555853307247,
-0.006671488750725985,
0.12596644461154938,
0.03280132636427879,
-0.006232059095054865,
0.0651528462767601,
-0.0340987965464592,
0.005852218717336655,
0.012919648550450802,
0.03416047245264053,
-0.007796206045895815,
-0.04395568370819092,
0.052193742245435715,
-0.03420548513531685,
-0.021153075620532036,
0.01432838011533022,
-0.060835450887680054,
0.013211910612881184
] |
1401.7799
|
Ted Hawkins
|
Ted Hawkins, Andrew Lemon, Alec Gibson
|
Introducing Morphit, a new type of spreadsheet technology
|
6 Pages, 4 colour figures, Proc. European Spreadsheet Risks Int. Grp.
(EuSpRIG) 2013, ISBN: 978-1-9054045-1-3
| null | null | null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper describes a new type of spreadsheet which mitigates the errors
caused by incorrect range referencing in formulae. This spreadsheet is composed
of structured worksheets called tables which contain a hierarchical
organization of fields. Formulae are defined at the field-level removing the
need for positional references. In addition, relationships can be defined
between fields in tables, allowing data to be modeled rather than simply
processed and providing a re-usable framework for authoring spreadsheets. We
shall describe the key features of tables with an emphasis on error detection
and avoidance.
|
[
{
"created": "Thu, 30 Jan 2014 11:20:12 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Hawkins",
"Ted",
""
],
[
"Lemon",
"Andrew",
""
],
[
"Gibson",
"Alec",
""
]
] |
[
-0.0035510205198079348,
0.04673497751355171,
-0.046364519745111465,
-0.0041886502876877785,
-0.03448263183236122,
0.0568118579685688,
-0.0831226110458374,
0.10716179758310318,
0.028782015666365623,
-0.03178904205560684,
0.015074090100824833,
-0.043983496725559235,
0.08713333308696747,
-0.0006090723909437656,
-0.014498891308903694,
0.07721138000488281,
0.007462514564394951,
0.03265544772148132,
-0.027061190456151962,
-0.04143285006284714,
0.027284735813736916,
0.05920904502272606,
-0.06434112042188644,
0.051867734640836716,
0.055956535041332245,
0.0018430327763780951,
-0.04685721546411514,
0.0224208515137434,
-0.012852350249886513,
0.022177916020154953,
-0.12749947607517242,
0.07348755747079849,
-0.0005501199630089104,
0.013983706012368202,
-0.014132481068372726,
-0.04860606789588928,
-0.03414172679185867,
0.04831930994987488,
0.016205640509724617,
0.053371723741292953,
-0.03774520754814148,
-0.014608433470129967,
0.05529939383268356,
0.0306804608553648,
0.0036990134976804256,
0.014405833557248116,
-0.03518471121788025,
0.05200663581490517,
-0.028770556673407555,
0.06295818835496902,
-0.1511087417602539,
0.08195837587118149,
0.0016618914669379592,
-0.004644924309104681,
0.04117177054286003,
0.017536519095301628,
0.0020946841686964035,
-0.05111413449048996,
0.0674690380692482,
-0.00654727965593338,
-0.02992197684943676,
0.02173786051571369,
-0.024527907371520996,
-0.04699649289250374,
-0.047508105635643005,
0.017768707126379013,
-0.0940333902835846,
-0.016580641269683838,
-0.032384712249040604,
0.04385916516184807,
-0.050479866564273834,
0.07502147555351257,
-0.06812132894992828,
0.07655119895935059,
-0.040174782276153564,
0.06731779873371124,
-0.10622452199459076,
-0.05462625250220299,
0.013093158602714539,
-0.05111820623278618,
-0.058348800987005234,
-0.017861265689134598,
-0.029540253803133965,
0.013419056311249733,
0.04934033006429672,
-0.07966447621583939,
0.08400865644216537,
0.07860999554395676,
0.050813525915145874,
0.0339130163192749,
0.042381227016448975,
-0.019079716876149178,
0.13339118659496307,
0.0527791790664196,
-0.01473246980458498,
0.012594095431268215,
0.05719703063368797,
-0.05624775215983391,
0.04350733011960983,
-0.012437011115252972,
-0.01593421958386898,
0.05022889003157616,
0.023411491885781288,
-0.03786945715546608,
-0.13047586381435394,
-0.0032997659873217344,
0.04549171403050423,
-0.0023794621229171753,
0.012756976298987865,
-0.09571374207735062,
-0.022051692008972168,
-0.03926732391119003,
-0.0927673727273941,
-0.1176692470908165,
-0.0445491261780262,
-0.05746186897158623,
-0.01621648482978344,
-0.08696548640727997,
0.006180165335536003,
-0.02561129629611969,
-0.003306980710476637,
0.04577257111668587,
0.022841354832053185,
0.08071576803922653,
-0.0024650816339999437,
-0.07472516596317291,
-0.06593486666679382,
3.197174922239722e-33,
-0.02795497700572014,
-0.03295556828379631,
0.06413258612155914,
0.051501691341400146,
0.016915708780288696,
-0.025654403492808342,
-0.08543092757463455,
0.02246743254363537,
-0.03791011869907379,
0.04564977064728737,
-0.014382518827915192,
0.0748225525021553,
-0.03722558543086052,
-0.03377462923526764,
0.07121308147907257,
0.07126663625240326,
0.032719872891902924,
0.044651489704847336,
-0.03659866377711296,
0.00461692875251174,
-0.0013392611872404814,
-0.09336011111736298,
-0.008080958388745785,
0.0662120059132576,
0.047242119908332825,
0.1077759712934494,
-0.04926818981766701,
0.023772528395056725,
0.022720424458384514,
-0.006409873720258474,
0.013143125921487808,
-0.04228769615292549,
0.000024689761630725116,
-0.10773453861474991,
0.008388090878725052,
0.012170541100203991,
-0.016224989667534828,
-0.02690260298550129,
0.04852316156029701,
0.03556739166378975,
-0.03345150128006935,
0.02836957573890686,
0.0436270572245121,
0.057529084384441376,
0.06893900781869888,
0.014827893115580082,
-0.02904421091079712,
0.11130321025848389,
0.017326388508081436,
0.04004502668976784,
-0.05056154727935791,
0.023068878799676895,
0.04401927813887596,
0.03325153887271881,
0.03044259175658226,
0.031137123703956604,
-0.12516506016254425,
0.06964874267578125,
0.0006472904933616519,
0.06805291026830673,
0.034548401832580566,
0.03395267575979233,
-0.07887730002403259,
0.022463463246822357,
-0.05388703569769859,
0.01670185849070549,
-0.08165411651134491,
-0.02169639803469181,
0.09427852928638458,
-0.0025831942912191153,
0.008750012144446373,
-0.006990772671997547,
0.03804032504558563,
0.05595662444829941,
-0.004379254300147295,
-0.07395855337381363,
0.03602327033877373,
-0.05328141152858734,
0.011632704176008701,
-0.11406666785478592,
0.008758749812841415,
0.01849336363375187,
-0.001732684439048171,
0.025328995659947395,
-0.09054239839315414,
-0.08368327468633652,
-0.004824526142328978,
0.031552352011203766,
-0.11748035252094269,
0.018343104049563408,
0.013195553794503212,
-0.010023751296103,
-0.023800505325198174,
0.028431469574570656,
0.06312336772680283,
-4.63972469183754e-33,
-0.0036557528655976057,
0.026370199397206306,
0.022399233654141426,
-0.040694933384656906,
0.02687833644449711,
-0.0002971030480694026,
0.03952523320913315,
-0.03955245018005371,
0.07887917011976242,
-0.007230157498270273,
-0.07750281691551208,
-0.0649828314781189,
-0.005290860775858164,
-0.018507877364754677,
0.002916982164606452,
0.027440866455435753,
-0.038527507334947586,
-0.09410995990037918,
-0.12696710228919983,
-0.020782796666026115,
0.016205180436372757,
0.03557586297392845,
-0.008665072731673717,
0.03362513333559036,
-0.01672055944800377,
0.021803196519613266,
-0.051129672676324844,
-0.019315820187330246,
-0.048302654176950455,
-0.012657738290727139,
-0.03846248984336853,
-0.0423043929040432,
0.028018686920404434,
-0.04397863149642944,
0.04682057350873947,
-0.013253598473966122,
0.024457041174173355,
-0.04123079404234886,
0.03541558235883713,
-0.01450362615287304,
0.049770575016736984,
0.008339163847267628,
0.05740570276975632,
-0.020258357748389244,
0.06185577064752579,
0.08972857892513275,
-0.012681487016379833,
0.001467814319767058,
0.005605379585176706,
-0.07947607338428497,
-0.08803041279315948,
-0.009726890362799168,
-0.040068965405225754,
-0.04321768134832382,
0.02199362963438034,
0.027909452095627785,
-0.012550984509289265,
-0.006328647490590811,
0.002932514064013958,
-0.026767665520310402,
-0.06639645993709564,
0.004277015570551157,
0.09520679712295532,
0.08068394660949707,
0.029340725392103195,
-0.02045643888413906,
-0.07391330599784851,
-0.019251009449362755,
0.019315240904688835,
-0.009970210492610931,
0.0063762119971215725,
-0.01958109624683857,
-0.007892400957643986,
-0.03645893931388855,
-0.03645627573132515,
-0.0454130582511425,
-0.0412805937230587,
-0.023203296586871147,
0.009690544568002224,
-0.014624809846282005,
0.050092294812202454,
0.030918097123503685,
0.08205819129943848,
0.022940155118703842,
-0.031306296586990356,
0.023261619731783867,
0.051522206515073776,
0.00283299689181149,
-0.015279047191143036,
0.052201129496097565,
-0.07140529900789261,
-0.010444109328091145,
-0.031710006296634674,
0.05171932280063629,
-0.07309514284133911,
-3.7204674896429424e-8,
-0.03381954878568649,
0.05790882930159569,
0.00713422242552042,
0.05382481589913368,
0.024109380319714546,
-0.06728163361549377,
0.03728491812944412,
0.09998059272766113,
-0.0013171836035326123,
0.03763486444950104,
0.030304260551929474,
-0.03878994286060333,
-0.01211769599467516,
-0.023431522771716118,
0.059029366821050644,
0.07888410240411758,
0.016521846875548363,
-0.1112980842590332,
-0.033083632588386536,
0.007683435454964638,
0.017926324158906937,
0.05530405044555664,
-0.07824211567640305,
0.08272963762283325,
0.07990271598100662,
-0.09238491952419281,
-0.1081973984837532,
0.10292614996433258,
0.09836729615926743,
0.010577206499874592,
0.10427074879407883,
0.0046586948446929455,
0.039892178028821945,
-0.007895166985690594,
0.025868378579616547,
0.025103749707341194,
0.08441115915775299,
0.004611718934029341,
-0.058325666934251785,
-0.09320490807294846,
0.017923474311828613,
-0.02820114605128765,
-0.0950322225689888,
0.010106205008924007,
0.09111127257347107,
0.00262622581794858,
-0.01138964481651783,
0.0162960272282362,
0.010050047188997269,
-0.052510589361190796,
-0.06493283063173294,
-0.01954866759479046,
-0.06141428276896477,
0.0020973295904695988,
-0.031703900545835495,
-0.02482793852686882,
-0.011807984672486782,
-0.035951610654592514,
0.07682684808969498,
-0.12717434763908386,
0.004461335483938456,
0.04192245006561279,
0.052423153072595596,
0.06253664940595627
] | null | null | null | null | null | null | null |
[
-0.0035510205198079348,
0.04673497751355171,
-0.046364519745111465,
-0.0041886502876877785,
-0.03448263183236122,
0.0568118579685688,
-0.0831226110458374,
0.10716179758310318,
0.028782015666365623,
-0.03178904205560684,
0.015074090100824833,
-0.043983496725559235,
0.08713333308696747,
-0.0006090723909437656,
-0.014498891308903694,
0.07721138000488281,
0.007462514564394951,
0.03265544772148132,
-0.027061190456151962,
-0.04143285006284714,
0.027284735813736916,
0.05920904502272606,
-0.06434112042188644,
0.051867734640836716,
0.055956535041332245,
0.0018430327763780951,
-0.04685721546411514,
0.0224208515137434,
-0.012852350249886513,
0.022177916020154953,
-0.12749947607517242,
0.07348755747079849,
-0.0005501199630089104,
0.013983706012368202,
-0.014132481068372726,
-0.04860606789588928,
-0.03414172679185867,
0.04831930994987488,
0.016205640509724617,
0.053371723741292953,
-0.03774520754814148,
-0.014608433470129967,
0.05529939383268356,
0.0306804608553648,
0.0036990134976804256,
0.014405833557248116,
-0.03518471121788025,
0.05200663581490517,
-0.028770556673407555,
0.06295818835496902,
-0.1511087417602539,
0.08195837587118149,
0.0016618914669379592,
-0.004644924309104681,
0.04117177054286003,
0.017536519095301628,
0.0020946841686964035,
-0.05111413449048996,
0.0674690380692482,
-0.00654727965593338,
-0.02992197684943676,
0.02173786051571369,
-0.024527907371520996,
-0.04699649289250374,
-0.047508105635643005,
0.017768707126379013,
-0.0940333902835846,
-0.016580641269683838,
-0.032384712249040604,
0.04385916516184807,
-0.050479866564273834,
0.07502147555351257,
-0.06812132894992828,
0.07655119895935059,
-0.040174782276153564,
0.06731779873371124,
-0.10622452199459076,
-0.05462625250220299,
0.013093158602714539,
-0.05111820623278618,
-0.058348800987005234,
-0.017861265689134598,
-0.029540253803133965,
0.013419056311249733,
0.04934033006429672,
-0.07966447621583939,
0.08400865644216537,
0.07860999554395676,
0.050813525915145874,
0.0339130163192749,
0.042381227016448975,
-0.019079716876149178,
0.13339118659496307,
0.0527791790664196,
-0.01473246980458498,
0.012594095431268215,
0.05719703063368797,
-0.05624775215983391,
0.04350733011960983,
-0.012437011115252972,
-0.01593421958386898,
0.05022889003157616,
0.023411491885781288,
-0.03786945715546608,
-0.13047586381435394,
-0.0032997659873217344,
0.04549171403050423,
-0.0023794621229171753,
0.012756976298987865,
-0.09571374207735062,
-0.022051692008972168,
-0.03926732391119003,
-0.0927673727273941,
-0.1176692470908165,
-0.0445491261780262,
-0.05746186897158623,
-0.01621648482978344,
-0.08696548640727997,
0.006180165335536003,
-0.02561129629611969,
-0.003306980710476637,
0.04577257111668587,
0.022841354832053185,
0.08071576803922653,
-0.0024650816339999437,
-0.07472516596317291,
-0.06593486666679382,
3.197174922239722e-33,
-0.02795497700572014,
-0.03295556828379631,
0.06413258612155914,
0.051501691341400146,
0.016915708780288696,
-0.025654403492808342,
-0.08543092757463455,
0.02246743254363537,
-0.03791011869907379,
0.04564977064728737,
-0.014382518827915192,
0.0748225525021553,
-0.03722558543086052,
-0.03377462923526764,
0.07121308147907257,
0.07126663625240326,
0.032719872891902924,
0.044651489704847336,
-0.03659866377711296,
0.00461692875251174,
-0.0013392611872404814,
-0.09336011111736298,
-0.008080958388745785,
0.0662120059132576,
0.047242119908332825,
0.1077759712934494,
-0.04926818981766701,
0.023772528395056725,
0.022720424458384514,
-0.006409873720258474,
0.013143125921487808,
-0.04228769615292549,
0.000024689761630725116,
-0.10773453861474991,
0.008388090878725052,
0.012170541100203991,
-0.016224989667534828,
-0.02690260298550129,
0.04852316156029701,
0.03556739166378975,
-0.03345150128006935,
0.02836957573890686,
0.0436270572245121,
0.057529084384441376,
0.06893900781869888,
0.014827893115580082,
-0.02904421091079712,
0.11130321025848389,
0.017326388508081436,
0.04004502668976784,
-0.05056154727935791,
0.023068878799676895,
0.04401927813887596,
0.03325153887271881,
0.03044259175658226,
0.031137123703956604,
-0.12516506016254425,
0.06964874267578125,
0.0006472904933616519,
0.06805291026830673,
0.034548401832580566,
0.03395267575979233,
-0.07887730002403259,
0.022463463246822357,
-0.05388703569769859,
0.01670185849070549,
-0.08165411651134491,
-0.02169639803469181,
0.09427852928638458,
-0.0025831942912191153,
0.008750012144446373,
-0.006990772671997547,
0.03804032504558563,
0.05595662444829941,
-0.004379254300147295,
-0.07395855337381363,
0.03602327033877373,
-0.05328141152858734,
0.011632704176008701,
-0.11406666785478592,
0.008758749812841415,
0.01849336363375187,
-0.001732684439048171,
0.025328995659947395,
-0.09054239839315414,
-0.08368327468633652,
-0.004824526142328978,
0.031552352011203766,
-0.11748035252094269,
0.018343104049563408,
0.013195553794503212,
-0.010023751296103,
-0.023800505325198174,
0.028431469574570656,
0.06312336772680283,
-4.63972469183754e-33,
-0.0036557528655976057,
0.026370199397206306,
0.022399233654141426,
-0.040694933384656906,
0.02687833644449711,
-0.0002971030480694026,
0.03952523320913315,
-0.03955245018005371,
0.07887917011976242,
-0.007230157498270273,
-0.07750281691551208,
-0.0649828314781189,
-0.005290860775858164,
-0.018507877364754677,
0.002916982164606452,
0.027440866455435753,
-0.038527507334947586,
-0.09410995990037918,
-0.12696710228919983,
-0.020782796666026115,
0.016205180436372757,
0.03557586297392845,
-0.008665072731673717,
0.03362513333559036,
-0.01672055944800377,
0.021803196519613266,
-0.051129672676324844,
-0.019315820187330246,
-0.048302654176950455,
-0.012657738290727139,
-0.03846248984336853,
-0.0423043929040432,
0.028018686920404434,
-0.04397863149642944,
0.04682057350873947,
-0.013253598473966122,
0.024457041174173355,
-0.04123079404234886,
0.03541558235883713,
-0.01450362615287304,
0.049770575016736984,
0.008339163847267628,
0.05740570276975632,
-0.020258357748389244,
0.06185577064752579,
0.08972857892513275,
-0.012681487016379833,
0.001467814319767058,
0.005605379585176706,
-0.07947607338428497,
-0.08803041279315948,
-0.009726890362799168,
-0.040068965405225754,
-0.04321768134832382,
0.02199362963438034,
0.027909452095627785,
-0.012550984509289265,
-0.006328647490590811,
0.002932514064013958,
-0.026767665520310402,
-0.06639645993709564,
0.004277015570551157,
0.09520679712295532,
0.08068394660949707,
0.029340725392103195,
-0.02045643888413906,
-0.07391330599784851,
-0.019251009449362755,
0.019315240904688835,
-0.009970210492610931,
0.0063762119971215725,
-0.01958109624683857,
-0.007892400957643986,
-0.03645893931388855,
-0.03645627573132515,
-0.0454130582511425,
-0.0412805937230587,
-0.023203296586871147,
0.009690544568002224,
-0.014624809846282005,
0.050092294812202454,
0.030918097123503685,
0.08205819129943848,
0.022940155118703842,
-0.031306296586990356,
0.023261619731783867,
0.051522206515073776,
0.00283299689181149,
-0.015279047191143036,
0.052201129496097565,
-0.07140529900789261,
-0.010444109328091145,
-0.031710006296634674,
0.05171932280063629,
-0.07309514284133911,
-3.7204674896429424e-8,
-0.03381954878568649,
0.05790882930159569,
0.00713422242552042,
0.05382481589913368,
0.024109380319714546,
-0.06728163361549377,
0.03728491812944412,
0.09998059272766113,
-0.0013171836035326123,
0.03763486444950104,
0.030304260551929474,
-0.03878994286060333,
-0.01211769599467516,
-0.023431522771716118,
0.059029366821050644,
0.07888410240411758,
0.016521846875548363,
-0.1112980842590332,
-0.033083632588386536,
0.007683435454964638,
0.017926324158906937,
0.05530405044555664,
-0.07824211567640305,
0.08272963762283325,
0.07990271598100662,
-0.09238491952419281,
-0.1081973984837532,
0.10292614996433258,
0.09836729615926743,
0.010577206499874592,
0.10427074879407883,
0.0046586948446929455,
0.039892178028821945,
-0.007895166985690594,
0.025868378579616547,
0.025103749707341194,
0.08441115915775299,
0.004611718934029341,
-0.058325666934251785,
-0.09320490807294846,
0.017923474311828613,
-0.02820114605128765,
-0.0950322225689888,
0.010106205008924007,
0.09111127257347107,
0.00262622581794858,
-0.01138964481651783,
0.0162960272282362,
0.010050047188997269,
-0.052510589361190796,
-0.06493283063173294,
-0.01954866759479046,
-0.06141428276896477,
0.0020973295904695988,
-0.031703900545835495,
-0.02482793852686882,
-0.011807984672486782,
-0.035951610654592514,
0.07682684808969498,
-0.12717434763908386,
0.004461335483938456,
0.04192245006561279,
0.052423153072595596,
0.06253664940595627
] |
1401.7807
|
Andrew Pitts
|
Andrew M. Pitts
|
An Equivalent Presentation of the Bezem-Coquand-Huber Category of
Cubical Sets
|
10 pages
| null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Staton has shown that there is an equivalence between the category of
presheaves on (the opposite of) finite sets and partial bijections and the
category of nominal restriction sets: see [2, Exercise 9.7]. The aim here is to
see that this extends to an equivalence between the category of cubical sets
introduced in [1] and a category of nominal sets equipped with a
"01-substitution" operation. It seems to me that presenting the topos in
question equivalently as 01-substitution sets rather than cubical sets will
make it easier (and more elegant) to carry out the constructions and
calculations needed to build the intended univalent model of intentional
constructive type theory.
|
[
{
"created": "Thu, 30 Jan 2014 11:47:48 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Pitts",
"Andrew M.",
""
]
] |
[
0.004873818252235651,
0.01833842135965824,
0.011681423522531986,
-0.028559545055031776,
-0.00238653551787138,
0.011685381643474102,
0.014878915622830391,
0.022127188742160797,
-0.02325773611664772,
0.05478694289922714,
-0.05410025268793106,
-0.07306935638189316,
-0.06194533035159111,
0.02700122445821762,
0.09398352354764938,
0.004204345401376486,
0.05613287165760994,
-0.008304349146783352,
-0.020147524774074554,
0.08326998353004456,
0.0605977401137352,
0.022288618609309196,
-0.06882697343826294,
0.03773900493979454,
-0.008861519396305084,
-0.09876486659049988,
-0.07263563573360443,
-0.02507428079843521,
0.025815479457378387,
0.049763478338718414,
-0.1172691285610199,
0.09525397419929504,
-0.0002771023428067565,
0.04893333837389946,
0.048053987324237823,
0.043564774096012115,
-0.014761056751012802,
0.05151398107409477,
-0.0030453079380095005,
0.019566837698221207,
-0.012441332451999187,
0.02433719113469124,
0.03714407607913017,
-0.009084532037377357,
-0.052705734968185425,
0.07605532556772232,
-0.02841356210410595,
0.025284741073846817,
-0.07054994255304337,
-0.13070087134838104,
-0.026275837793946266,
-0.002870517084375024,
-0.038757745176553726,
0.044859629124403,
0.0038820654153823853,
-0.008843707852065563,
0.02790730446577072,
-0.04282452538609505,
-0.06491106003522873,
-0.05085273087024689,
-0.08113972097635269,
-0.021967420354485512,
-0.008757629431784153,
-0.030357051640748978,
0.02886906825006008,
0.016060229390859604,
-0.056595414876937866,
0.025131117552518845,
0.030477186664938927,
0.07386212050914764,
0.05783228948712349,
0.03144143894314766,
-0.08630324900150299,
-0.02320614457130432,
0.06514077633619308,
0.020334530621767044,
0.10746290534734726,
0.040923841297626495,
-0.021467657759785652,
-0.0861087217926979,
-0.062443654984235764,
-0.0034857741557061672,
0.02062392048537731,
0.014318618923425674,
0.0374850332736969,
-0.005002391524612904,
-0.0015184099320322275,
-0.04862096905708313,
-0.08657758682966232,
0.07702984660863876,
-0.04432327672839165,
-0.06641697138547897,
0.0631348043680191,
0.020653409883379936,
0.010628988966345787,
-0.015077671967446804,
0.021026432514190674,
0.0329795740544796,
0.04558674991130829,
0.023982441052794456,
0.07276386022567749,
0.1116451546549797,
0.009921652264893055,
-0.06065839156508446,
0.0161081925034523,
-0.035597968846559525,
0.056201815605163574,
-0.006799688562750816,
0.019943254068493843,
-0.0568888820707798,
-0.026846932247281075,
-0.05873534083366394,
0.04368439316749573,
-0.13020442426204681,
-0.11857515573501587,
0.005258048418909311,
-0.02355899289250374,
-0.027859877794981003,
0.039350565522909164,
-0.12766313552856445,
0.08603108674287796,
-0.017747769132256508,
0.08388451486825943,
0.026324043050408363,
0.03371376544237137,
0.008140205405652523,
-0.06265278160572052,
-7.424951751428919e-34,
0.044292744249105453,
0.02948513813316822,
-0.020216479897499084,
-0.009882639162242413,
0.034314751625061035,
-0.023220261558890343,
0.0034685705322772264,
-0.0713248997926712,
0.014196622185409069,
0.06894683837890625,
-0.03793773055076599,
0.04916421324014664,
-0.08641013503074646,
0.10485202819108963,
0.07031522691249847,
0.0006603815127164125,
0.03444230556488037,
-0.018666518852114677,
-0.0699196308851242,
0.004776300396770239,
0.029401222243905067,
0.1366444081068039,
-0.054688334465026855,
-0.03155708685517311,
0.02644842118024826,
0.035805050283670425,
-0.03734603151679039,
-0.03478674590587616,
-0.05931206792593002,
0.0315014123916626,
-0.03004593215882778,
0.056132592260837555,
-0.0035863255616277456,
0.05646511912345886,
-0.0658424124121666,
-0.029015328735113144,
-0.004779136274009943,
-0.08583515882492065,
-0.0019268288742750883,
-0.06109355762600899,
0.056729353964328766,
0.08644247055053711,
0.01086246594786644,
0.026938563212752342,
0.06916365772485733,
-0.0238313190639019,
0.01745745539665222,
0.07312890142202377,
-0.03236093372106552,
-0.00815154705196619,
0.022011885419487953,
0.019332876428961754,
0.023778757080435753,
-0.030200382694602013,
-0.035678401589393616,
-0.027288276702165604,
0.02660709246993065,
0.0349530354142189,
0.058248747140169144,
0.0558401383459568,
0.005262916907668114,
0.04036640375852585,
0.03875130042433739,
0.0056325774639844894,
-0.0625951886177063,
0.018518909811973572,
-0.0677516832947731,
-0.07935871928930283,
0.09245158731937408,
0.04334375634789467,
-0.038432974368333817,
0.10767088085412979,
-0.14280752837657928,
0.058231499046087265,
-0.00527259660884738,
-0.058563001453876495,
0.009901531971991062,
-0.07721788436174393,
0.006790511775761843,
-0.038638778030872345,
0.07218112796545029,
0.05071630701422691,
0.03797308728098869,
0.021419553086161613,
-0.04006359726190567,
-0.06550763547420502,
0.023517189547419548,
-0.008224179968237877,
0.008331678807735443,
-0.014422512613236904,
-0.059070613235235214,
0.01411743275821209,
0.04210176318883896,
-0.0331801176071167,
-0.026274658739566803,
-1.0928046598911745e-33,
-0.015296789817512035,
-0.019223807379603386,
-0.03535058721899986,
-0.028226839378476143,
-0.06320107728242874,
0.02474088780581951,
-0.03029394894838333,
-0.017907287925481796,
-0.008004512637853622,
-0.03028302825987339,
0.013822965323925018,
-0.04212251305580139,
0.033729299902915955,
-0.07858721166849136,
0.008680040016770363,
-0.11257016658782959,
-0.08408918976783752,
-0.0763324648141861,
-0.03357116878032684,
0.01808837428689003,
0.06489035487174988,
0.010936410166323185,
-0.060330431908369064,
0.027588151395320892,
0.019165432080626488,
0.028870463371276855,
-0.09221705049276352,
0.0796625018119812,
-0.010687712579965591,
0.007323520723730326,
-0.06662146747112274,
-0.03157716989517212,
-0.08137857168912888,
0.011359297670423985,
0.03892774134874344,
-0.027280064299702644,
0.034863051027059555,
0.0906781256198883,
-0.0007897184696048498,
-0.015178640373051167,
-0.04632383584976196,
-0.023488519713282585,
0.00007570840534754097,
0.06339552253484726,
-0.024756496772170067,
-0.002030783798545599,
-0.007178870495408773,
0.009327488020062447,
0.06233362853527069,
-0.03836863487958908,
0.01735168695449829,
-0.0798410177230835,
0.027882738038897514,
0.019723769277334213,
0.048399798572063446,
-0.04512062668800354,
-0.041178733110427856,
-0.10476107895374298,
-0.002958649303764105,
-0.011424328200519085,
-0.02766874060034752,
-0.03061816468834877,
0.01569819636642933,
-0.03848215937614441,
0.05829032137989998,
-0.0396549366414547,
-0.05626682564616203,
-0.08648177236318588,
-0.01665049046278,
-0.0902036651968956,
-0.0021912867669016123,
0.022309517487883568,
-0.0824008584022522,
-0.07471827417612076,
-0.012242407537996769,
-0.026783505454659462,
0.02319798246026039,
0.018316352739930153,
0.06295406073331833,
0.024491725489497185,
-0.021033920347690582,
-0.011931891553103924,
0.05483642965555191,
0.018081896007061005,
0.024564877152442932,
-0.0004692926013376564,
0.010928887873888016,
0.04730667546391487,
-0.025720663368701935,
0.007116676773875952,
-0.0288629699498415,
0.013896267861127853,
0.032505009323358536,
0.09378089755773544,
-0.05325199291110039,
-4.4689986822277206e-8,
0.02699580416083336,
-0.006347987800836563,
-0.04130087420344353,
0.0071594188921153545,
-0.04447310045361519,
-0.025811301544308662,
0.012263328768312931,
0.032710980623960495,
-0.06466425955295563,
0.0030677057802677155,
-0.028076382353901863,
0.10167194902896881,
0.027225222438573837,
-0.015070305205881596,
0.05768432840704918,
-0.0663234293460846,
0.051634613424539566,
0.04870731383562088,
-0.053993258625268936,
0.08237461000680923,
0.030968109145760536,
0.027656953781843185,
-0.033790864050388336,
-0.05582292005419731,
0.00853961892426014,
-0.005875452887266874,
-0.0047936211340129375,
0.0060635777190327644,
0.03145947679877281,
0.09943227469921112,
0.026669932529330254,
0.0291876420378685,
-0.019891003146767616,
0.07970529794692993,
0.043117329478263855,
0.059992607682943344,
-0.12683908641338348,
0.050096020102500916,
-0.04659390449523926,
-0.08805158734321594,
0.09190680831670761,
-0.07309000939130783,
-0.07715799659490585,
0.06098082661628723,
0.04595983028411865,
-0.09177067130804062,
-0.02493630349636078,
-0.0028949386905878782,
-0.02263280563056469,
0.14444397389888763,
-0.04376669600605965,
0.12877191603183746,
0.02785392478108406,
0.0050193918868899345,
-0.04041865095496178,
-0.0019813627004623413,
0.03562874346971512,
-0.020119426771998405,
-0.03317495808005333,
0.008686481043696404,
0.10966117680072784,
0.0002900169347412884,
0.07434778660535812,
0.08046600967645645
] |
An Equivalent Presentation of the Bezem-Coquand-Huber Category of Cubical Sets
|
http://arxiv.org/abs/1401.7807v1
|
http://arxiv.org/pdf/1401.7807v1.pdf
|
https://github.com/mortberg/cubicaltt
| false | false |
https://paperswithcode.com/paper/an-equivalent-presentation-of-the-bezem
|
[
0.004873818252235651,
0.01833842135965824,
0.011681423522531986,
-0.028559545055031776,
-0.00238653551787138,
0.011685381643474102,
0.014878915622830391,
0.022127188742160797,
-0.02325773611664772,
0.05478694289922714,
-0.05410025268793106,
-0.07306935638189316,
-0.06194533035159111,
0.02700122445821762,
0.09398352354764938,
0.004204345401376486,
0.05613287165760994,
-0.008304349146783352,
-0.020147524774074554,
0.08326998353004456,
0.0605977401137352,
0.022288618609309196,
-0.06882697343826294,
0.03773900493979454,
-0.008861519396305084,
-0.09876486659049988,
-0.07263563573360443,
-0.02507428079843521,
0.025815479457378387,
0.049763478338718414,
-0.1172691285610199,
0.09525397419929504,
-0.0002771023428067565,
0.04893333837389946,
0.048053987324237823,
0.043564774096012115,
-0.014761056751012802,
0.05151398107409477,
-0.0030453079380095005,
0.019566837698221207,
-0.012441332451999187,
0.02433719113469124,
0.03714407607913017,
-0.009084532037377357,
-0.052705734968185425,
0.07605532556772232,
-0.02841356210410595,
0.025284741073846817,
-0.07054994255304337,
-0.13070087134838104,
-0.026275837793946266,
-0.002870517084375024,
-0.038757745176553726,
0.044859629124403,
0.0038820654153823853,
-0.008843707852065563,
0.02790730446577072,
-0.04282452538609505,
-0.06491106003522873,
-0.05085273087024689,
-0.08113972097635269,
-0.021967420354485512,
-0.008757629431784153,
-0.030357051640748978,
0.02886906825006008,
0.016060229390859604,
-0.056595414876937866,
0.025131117552518845,
0.030477186664938927,
0.07386212050914764,
0.05783228948712349,
0.03144143894314766,
-0.08630324900150299,
-0.02320614457130432,
0.06514077633619308,
0.020334530621767044,
0.10746290534734726,
0.040923841297626495,
-0.021467657759785652,
-0.0861087217926979,
-0.062443654984235764,
-0.0034857741557061672,
0.02062392048537731,
0.014318618923425674,
0.0374850332736969,
-0.005002391524612904,
-0.0015184099320322275,
-0.04862096905708313,
-0.08657758682966232,
0.07702984660863876,
-0.04432327672839165,
-0.06641697138547897,
0.0631348043680191,
0.020653409883379936,
0.010628988966345787,
-0.015077671967446804,
0.021026432514190674,
0.0329795740544796,
0.04558674991130829,
0.023982441052794456,
0.07276386022567749,
0.1116451546549797,
0.009921652264893055,
-0.06065839156508446,
0.0161081925034523,
-0.035597968846559525,
0.056201815605163574,
-0.006799688562750816,
0.019943254068493843,
-0.0568888820707798,
-0.026846932247281075,
-0.05873534083366394,
0.04368439316749573,
-0.13020442426204681,
-0.11857515573501587,
0.005258048418909311,
-0.02355899289250374,
-0.027859877794981003,
0.039350565522909164,
-0.12766313552856445,
0.08603108674287796,
-0.017747769132256508,
0.08388451486825943,
0.026324043050408363,
0.03371376544237137,
0.008140205405652523,
-0.06265278160572052,
-7.424951751428919e-34,
0.044292744249105453,
0.02948513813316822,
-0.020216479897499084,
-0.009882639162242413,
0.034314751625061035,
-0.023220261558890343,
0.0034685705322772264,
-0.0713248997926712,
0.014196622185409069,
0.06894683837890625,
-0.03793773055076599,
0.04916421324014664,
-0.08641013503074646,
0.10485202819108963,
0.07031522691249847,
0.0006603815127164125,
0.03444230556488037,
-0.018666518852114677,
-0.0699196308851242,
0.004776300396770239,
0.029401222243905067,
0.1366444081068039,
-0.054688334465026855,
-0.03155708685517311,
0.02644842118024826,
0.035805050283670425,
-0.03734603151679039,
-0.03478674590587616,
-0.05931206792593002,
0.0315014123916626,
-0.03004593215882778,
0.056132592260837555,
-0.0035863255616277456,
0.05646511912345886,
-0.0658424124121666,
-0.029015328735113144,
-0.004779136274009943,
-0.08583515882492065,
-0.0019268288742750883,
-0.06109355762600899,
0.056729353964328766,
0.08644247055053711,
0.01086246594786644,
0.026938563212752342,
0.06916365772485733,
-0.0238313190639019,
0.01745745539665222,
0.07312890142202377,
-0.03236093372106552,
-0.00815154705196619,
0.022011885419487953,
0.019332876428961754,
0.023778757080435753,
-0.030200382694602013,
-0.035678401589393616,
-0.027288276702165604,
0.02660709246993065,
0.0349530354142189,
0.058248747140169144,
0.0558401383459568,
0.005262916907668114,
0.04036640375852585,
0.03875130042433739,
0.0056325774639844894,
-0.0625951886177063,
0.018518909811973572,
-0.0677516832947731,
-0.07935871928930283,
0.09245158731937408,
0.04334375634789467,
-0.038432974368333817,
0.10767088085412979,
-0.14280752837657928,
0.058231499046087265,
-0.00527259660884738,
-0.058563001453876495,
0.009901531971991062,
-0.07721788436174393,
0.006790511775761843,
-0.038638778030872345,
0.07218112796545029,
0.05071630701422691,
0.03797308728098869,
0.021419553086161613,
-0.04006359726190567,
-0.06550763547420502,
0.023517189547419548,
-0.008224179968237877,
0.008331678807735443,
-0.014422512613236904,
-0.059070613235235214,
0.01411743275821209,
0.04210176318883896,
-0.0331801176071167,
-0.026274658739566803,
-1.0928046598911745e-33,
-0.015296789817512035,
-0.019223807379603386,
-0.03535058721899986,
-0.028226839378476143,
-0.06320107728242874,
0.02474088780581951,
-0.03029394894838333,
-0.017907287925481796,
-0.008004512637853622,
-0.03028302825987339,
0.013822965323925018,
-0.04212251305580139,
0.033729299902915955,
-0.07858721166849136,
0.008680040016770363,
-0.11257016658782959,
-0.08408918976783752,
-0.0763324648141861,
-0.03357116878032684,
0.01808837428689003,
0.06489035487174988,
0.010936410166323185,
-0.060330431908369064,
0.027588151395320892,
0.019165432080626488,
0.028870463371276855,
-0.09221705049276352,
0.0796625018119812,
-0.010687712579965591,
0.007323520723730326,
-0.06662146747112274,
-0.03157716989517212,
-0.08137857168912888,
0.011359297670423985,
0.03892774134874344,
-0.027280064299702644,
0.034863051027059555,
0.0906781256198883,
-0.0007897184696048498,
-0.015178640373051167,
-0.04632383584976196,
-0.023488519713282585,
0.00007570840534754097,
0.06339552253484726,
-0.024756496772170067,
-0.002030783798545599,
-0.007178870495408773,
0.009327488020062447,
0.06233362853527069,
-0.03836863487958908,
0.01735168695449829,
-0.0798410177230835,
0.027882738038897514,
0.019723769277334213,
0.048399798572063446,
-0.04512062668800354,
-0.041178733110427856,
-0.10476107895374298,
-0.002958649303764105,
-0.011424328200519085,
-0.02766874060034752,
-0.03061816468834877,
0.01569819636642933,
-0.03848215937614441,
0.05829032137989998,
-0.0396549366414547,
-0.05626682564616203,
-0.08648177236318588,
-0.01665049046278,
-0.0902036651968956,
-0.0021912867669016123,
0.022309517487883568,
-0.0824008584022522,
-0.07471827417612076,
-0.012242407537996769,
-0.026783505454659462,
0.02319798246026039,
0.018316352739930153,
0.06295406073331833,
0.024491725489497185,
-0.021033920347690582,
-0.011931891553103924,
0.05483642965555191,
0.018081896007061005,
0.024564877152442932,
-0.0004692926013376564,
0.010928887873888016,
0.04730667546391487,
-0.025720663368701935,
0.007116676773875952,
-0.0288629699498415,
0.013896267861127853,
0.032505009323358536,
0.09378089755773544,
-0.05325199291110039,
-4.4689986822277206e-8,
0.02699580416083336,
-0.006347987800836563,
-0.04130087420344353,
0.0071594188921153545,
-0.04447310045361519,
-0.025811301544308662,
0.012263328768312931,
0.032710980623960495,
-0.06466425955295563,
0.0030677057802677155,
-0.028076382353901863,
0.10167194902896881,
0.027225222438573837,
-0.015070305205881596,
0.05768432840704918,
-0.0663234293460846,
0.051634613424539566,
0.04870731383562088,
-0.053993258625268936,
0.08237461000680923,
0.030968109145760536,
0.027656953781843185,
-0.033790864050388336,
-0.05582292005419731,
0.00853961892426014,
-0.005875452887266874,
-0.0047936211340129375,
0.0060635777190327644,
0.03145947679877281,
0.09943227469921112,
0.026669932529330254,
0.0291876420378685,
-0.019891003146767616,
0.07970529794692993,
0.043117329478263855,
0.059992607682943344,
-0.12683908641338348,
0.050096020102500916,
-0.04659390449523926,
-0.08805158734321594,
0.09190680831670761,
-0.07309000939130783,
-0.07715799659490585,
0.06098082661628723,
0.04595983028411865,
-0.09177067130804062,
-0.02493630349636078,
-0.0028949386905878782,
-0.02263280563056469,
0.14444397389888763,
-0.04376669600605965,
0.12877191603183746,
0.02785392478108406,
0.0050193918868899345,
-0.04041865095496178,
-0.0019813627004623413,
0.03562874346971512,
-0.020119426771998405,
-0.03317495808005333,
0.008686481043696404,
0.10966117680072784,
0.0002900169347412884,
0.07434778660535812,
0.08046600967645645
] |
1401.7814
|
Henk Vlootman
|
Henk Vlootman, Felienne Hermans
|
A Maintainability Checklist for Spreadsheets
|
10 pages, 2 tables, 1 colour figure, Proc. European Spreadsheet Risks
Int. Grp. (EuSpRIG) 2013, ISBN: 978-1-9054045-1-3
| null | null | null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spreadsheets are widely used in industry, because they are flexible and easy
to use. Often, they are even used for business-critical applications. It is
however difficult for spreadsheet users to correctly assess the maintainability
of spreadsheets. Maintainability of spreadsheets is important, since
spreadsheets often have a long lifespan, during which they are used by several
users. In this paper, we present a checklist aimed at measuring the
maintainability of a spreadsheet. This is achieved via asking several
questions, and can indicate whether the spreadsheet is safe to use now and in
the future. We demonstrate the applicability of our approach on 11 spreadsheets
from the EUSES corpus.
|
[
{
"created": "Thu, 30 Jan 2014 11:57:57 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Vlootman",
"Henk",
""
],
[
"Hermans",
"Felienne",
""
]
] |
[
-0.09074055403470993,
0.036830294877290726,
-0.050470415502786636,
-0.004640278406441212,
0.04857422783970833,
-0.002583790570497513,
0.0022863701451569796,
0.08179806917905807,
-0.02139371819794178,
0.004983861930668354,
-0.031668052077293396,
0.006139420438557863,
-0.021923530846834183,
-0.03527265787124634,
-0.04375937581062317,
0.0035781371407210827,
0.01902981474995613,
-0.04137267917394638,
-0.05386301875114441,
-0.022528480738401413,
-0.030695436522364616,
0.008067439310252666,
0.02244451455771923,
0.027213186025619507,
0.02566554956138134,
0.030864115804433823,
-0.07243520766496658,
-0.057273201644420624,
-0.028329888358712196,
0.021714776754379272,
-0.0892498642206192,
0.022938426584005356,
0.029023058712482452,
0.07365722954273224,
0.016254659742116928,
-0.05575627461075783,
0.024397440254688263,
-0.028269190341234207,
0.017701787874102592,
0.0333331860601902,
-0.08751519024372101,
-0.03671717643737793,
-0.0447828583419323,
-0.008949940092861652,
0.017167629674077034,
-0.03701375052332878,
-0.07853572070598602,
-0.018342461436986923,
-0.06875155121088028,
0.10873491317033768,
-0.083378367125988,
-0.02064959704875946,
0.010498592630028725,
-0.0019157635979354382,
0.006739804986864328,
0.004223925992846489,
-0.026736324653029442,
0.012643765658140182,
0.008401657454669476,
0.002460251795127988,
-0.031947020441293716,
0.02625887840986252,
-0.07983312755823135,
0.06421296298503876,
-0.0022169225849211216,
0.05046635493636131,
-0.0695183128118515,
0.012121262028813362,
-0.03143813833594322,
0.06764336675405502,
-0.1210637167096138,
0.034255076199769974,
-0.11064023524522781,
0.09470419585704803,
-0.03627149015665054,
0.025672653689980507,
-0.0671069547533989,
-0.06944194436073303,
-0.03675704076886177,
-0.048854950815439224,
-0.04428241029381752,
-0.016907470300793648,
-0.007583287078887224,
0.06508934497833252,
0.04840020835399628,
-0.07184742391109467,
0.08177898824214935,
0.06127678230404854,
0.03193606063723564,
0.01522257924079895,
0.04278605431318283,
0.06519521027803421,
0.16963499784469604,
0.014989228919148445,
0.019576290622353554,
0.03692460060119629,
0.0304325670003891,
-0.00809693057090044,
-0.011637158691883087,
0.043059803545475006,
0.003437954233959317,
0.02979438379406929,
0.08678525686264038,
-0.04771372303366661,
-0.0697983056306839,
0.02789752185344696,
0.06674858927726746,
-0.018145328387618065,
0.03395052254199982,
-0.05060311406850815,
0.0018449613125994802,
-0.03217931091785431,
-0.04677575081586838,
-0.08315707743167877,
0.027931444346904755,
-0.09757878631353378,
-0.08095376938581467,
-0.011684563010931015,
0.0734371468424797,
0.05858960747718811,
0.09912843257188797,
0.033508967608213425,
0.026863833889365196,
-0.029927125200629234,
0.024910999462008476,
0.023906046524643898,
-0.0068067400716245174,
4.687075716505074e-34,
-0.0640251636505127,
-0.009832128882408142,
0.022142605856060982,
0.10223263502120972,
-0.04230977222323418,
-0.019151471555233,
-0.07033518701791763,
0.03886466100811958,
-0.03191440552473068,
-0.02249031327664852,
0.006785644683986902,
0.19182172417640686,
-0.09610865265130997,
0.03394389525055885,
0.08784754574298859,
0.09700234979391098,
0.021036440506577492,
0.09173180162906647,
-0.01839803159236908,
-0.008425280451774597,
0.061614613980054855,
-0.0798439309000969,
0.028393616899847984,
-0.049597226083278656,
0.054061222821474075,
0.03556562215089798,
0.0018778281519189477,
0.01755620539188385,
0.03304106369614601,
0.02347227744758129,
0.02721364237368107,
-0.09049805253744125,
-0.032269492745399475,
-0.06608034670352936,
-0.053872592747211456,
0.03390124812722206,
-0.085970938205719,
-0.030073663219809532,
0.03941620886325836,
-0.05597620829939842,
-0.07563136518001556,
-0.030284550040960312,
0.07637841999530792,
0.07130282372236252,
0.03841281682252884,
0.021507522091269493,
-0.018279390409588814,
0.04170054942369461,
0.07354369759559631,
-0.032696254551410675,
0.0037329201586544514,
-0.024479450657963753,
0.03615069389343262,
0.007585642859339714,
-0.022416777908802032,
0.004723056685179472,
-0.003758206032216549,
0.009957677684724331,
-0.007682833354920149,
0.08550465106964111,
0.021450189873576164,
0.06891713291406631,
-0.03702579811215401,
-0.02579733356833458,
-0.09775985032320023,
0.015421162359416485,
-0.03122929111123085,
0.03353489935398102,
0.022920381277799606,
-0.06759421527385712,
-0.06134750694036484,
-0.0320819728076458,
0.04148092120885849,
-0.0005539436242543161,
0.00966692715883255,
-0.04815102741122246,
0.055953364819288254,
-0.0267682746052742,
-0.02724875882267952,
-0.09321658313274384,
0.034778892993927,
-0.1104082465171814,
0.006223444826900959,
-0.01504050474613905,
-0.04884198307991028,
-0.03291071951389313,
0.02353210560977459,
-0.008269456215202808,
-0.08045506477355957,
0.08788403123617172,
0.010412913747131824,
-0.002853587968274951,
-0.005159731954336166,
0.0047251982614398,
0.043183114379644394,
-3.2726181496754965e-33,
-0.06633578985929489,
-0.04257034510374069,
-0.05946604534983635,
0.10766930133104324,
-0.0030645804945379496,
0.0284885261207819,
-0.04693334922194481,
0.010848953388631344,
0.044816549867391586,
-0.0475025400519371,
-0.06717069447040558,
-0.025423845276236534,
0.005073819775134325,
-0.048119720071554184,
-0.004517701454460621,
0.020420745015144348,
-0.03692767769098282,
-0.048934709280729294,
-0.11156001687049866,
-0.031555816531181335,
-0.016248492524027824,
0.029809093102812767,
-0.0056695942766964436,
0.042067188769578934,
-0.0070356582291424274,
0.040245480835437775,
-0.13183480501174927,
-0.09523665904998779,
0.005251025315374136,
-0.0015677635092288256,
-0.04352598637342453,
-0.03185926750302315,
-0.0296874288469553,
-0.007097925525158644,
0.030751213431358337,
-0.040999576449394226,
0.03073272481560707,
-0.031200649216771126,
0.03731243684887886,
0.06369385123252869,
0.06994014978408813,
0.04875386133790016,
0.010517418384552002,
-0.021646250039339066,
0.07735388725996017,
0.05150427296757698,
-0.018347369506955147,
0.01107685174793005,
0.040609199553728104,
-0.023168468847870827,
-0.004400276578962803,
0.017596226185560226,
-0.006458772346377373,
-0.0522238090634346,
0.01271861046552658,
0.02561810240149498,
-0.037968967109918594,
-0.04405507072806358,
-0.029996829107403755,
-0.017578719183802605,
-0.13405050337314606,
-0.0008105903398245573,
0.07249818742275238,
0.02055331878364086,
0.05087023973464966,
-0.05562378466129303,
-0.031169842928647995,
0.011045098304748535,
-0.039473023265600204,
0.017343489453196526,
0.07812956720590591,
-0.07490865141153336,
-0.07805519551038742,
-0.07303303480148315,
-0.03730788454413414,
0.04176834598183632,
0.042482923716306686,
-0.05488061532378197,
-0.027538875117897987,
0.026468822732567787,
0.061406221240758896,
-0.014262937009334564,
0.01561017520725727,
-0.022574443370103836,
0.016758384183049202,
0.030616924166679382,
0.043745461851358414,
-0.025574561208486557,
0.02179567888379097,
0.10755375772714615,
-0.048285674303770065,
0.016325289383530617,
-0.08102016896009445,
0.0526643842458725,
-0.053088605403900146,
-3.351898314463142e-8,
-0.021368810907006264,
0.02127332054078579,
0.009197204373776913,
0.0027419973630458117,
0.06125745177268982,
-0.01743140257894993,
-0.020895209163427353,
0.08268564939498901,
0.010560452938079834,
0.016063639894127846,
0.08884447067975998,
-0.055225297808647156,
-0.11314605176448822,
0.015995806083083153,
-0.006902202498167753,
0.06586255878210068,
-0.07412517815828323,
0.009697699919342995,
-0.048524606972932816,
0.03512188047170639,
0.013788065873086452,
0.08577294647693634,
-0.014300667680799961,
0.08024203777313232,
-0.01723538339138031,
-0.04485762491822243,
-0.00027752851019613445,
0.06789717078208923,
0.028575439006090164,
0.04272383451461792,
0.06943484395742416,
0.059650298207998276,
0.017249414697289467,
-0.03129686415195465,
-0.030386384576559067,
0.060604277998209,
0.04108820855617523,
0.039778828620910645,
-0.00108281837310642,
-0.012072806246578693,
0.0018525266787037253,
0.027299528941512108,
-0.1028720811009407,
0.03211565688252449,
0.05975063145160675,
-0.05485193058848381,
0.022035544738173485,
-0.00947272963821888,
-0.05774976313114166,
-0.10323533415794373,
-0.07116113603115082,
-0.1094520092010498,
-0.008277550339698792,
0.0285298153758049,
-0.010764485225081444,
-0.04016157239675522,
-0.002516774693503976,
0.04193182662129402,
0.1300259232521057,
0.008846449665725231,
0.031040852889418602,
0.028666876256465912,
0.05690782517194748,
0.09000277519226074
] | null | null | null | null | null | null | null |
[
-0.09074055403470993,
0.036830294877290726,
-0.050470415502786636,
-0.004640278406441212,
0.04857422783970833,
-0.002583790570497513,
0.0022863701451569796,
0.08179806917905807,
-0.02139371819794178,
0.004983861930668354,
-0.031668052077293396,
0.006139420438557863,
-0.021923530846834183,
-0.03527265787124634,
-0.04375937581062317,
0.0035781371407210827,
0.01902981474995613,
-0.04137267917394638,
-0.05386301875114441,
-0.022528480738401413,
-0.030695436522364616,
0.008067439310252666,
0.02244451455771923,
0.027213186025619507,
0.02566554956138134,
0.030864115804433823,
-0.07243520766496658,
-0.057273201644420624,
-0.028329888358712196,
0.021714776754379272,
-0.0892498642206192,
0.022938426584005356,
0.029023058712482452,
0.07365722954273224,
0.016254659742116928,
-0.05575627461075783,
0.024397440254688263,
-0.028269190341234207,
0.017701787874102592,
0.0333331860601902,
-0.08751519024372101,
-0.03671717643737793,
-0.0447828583419323,
-0.008949940092861652,
0.017167629674077034,
-0.03701375052332878,
-0.07853572070598602,
-0.018342461436986923,
-0.06875155121088028,
0.10873491317033768,
-0.083378367125988,
-0.02064959704875946,
0.010498592630028725,
-0.0019157635979354382,
0.006739804986864328,
0.004223925992846489,
-0.026736324653029442,
0.012643765658140182,
0.008401657454669476,
0.002460251795127988,
-0.031947020441293716,
0.02625887840986252,
-0.07983312755823135,
0.06421296298503876,
-0.0022169225849211216,
0.05046635493636131,
-0.0695183128118515,
0.012121262028813362,
-0.03143813833594322,
0.06764336675405502,
-0.1210637167096138,
0.034255076199769974,
-0.11064023524522781,
0.09470419585704803,
-0.03627149015665054,
0.025672653689980507,
-0.0671069547533989,
-0.06944194436073303,
-0.03675704076886177,
-0.048854950815439224,
-0.04428241029381752,
-0.016907470300793648,
-0.007583287078887224,
0.06508934497833252,
0.04840020835399628,
-0.07184742391109467,
0.08177898824214935,
0.06127678230404854,
0.03193606063723564,
0.01522257924079895,
0.04278605431318283,
0.06519521027803421,
0.16963499784469604,
0.014989228919148445,
0.019576290622353554,
0.03692460060119629,
0.0304325670003891,
-0.00809693057090044,
-0.011637158691883087,
0.043059803545475006,
0.003437954233959317,
0.02979438379406929,
0.08678525686264038,
-0.04771372303366661,
-0.0697983056306839,
0.02789752185344696,
0.06674858927726746,
-0.018145328387618065,
0.03395052254199982,
-0.05060311406850815,
0.0018449613125994802,
-0.03217931091785431,
-0.04677575081586838,
-0.08315707743167877,
0.027931444346904755,
-0.09757878631353378,
-0.08095376938581467,
-0.011684563010931015,
0.0734371468424797,
0.05858960747718811,
0.09912843257188797,
0.033508967608213425,
0.026863833889365196,
-0.029927125200629234,
0.024910999462008476,
0.023906046524643898,
-0.0068067400716245174,
4.687075716505074e-34,
-0.0640251636505127,
-0.009832128882408142,
0.022142605856060982,
0.10223263502120972,
-0.04230977222323418,
-0.019151471555233,
-0.07033518701791763,
0.03886466100811958,
-0.03191440552473068,
-0.02249031327664852,
0.006785644683986902,
0.19182172417640686,
-0.09610865265130997,
0.03394389525055885,
0.08784754574298859,
0.09700234979391098,
0.021036440506577492,
0.09173180162906647,
-0.01839803159236908,
-0.008425280451774597,
0.061614613980054855,
-0.0798439309000969,
0.028393616899847984,
-0.049597226083278656,
0.054061222821474075,
0.03556562215089798,
0.0018778281519189477,
0.01755620539188385,
0.03304106369614601,
0.02347227744758129,
0.02721364237368107,
-0.09049805253744125,
-0.032269492745399475,
-0.06608034670352936,
-0.053872592747211456,
0.03390124812722206,
-0.085970938205719,
-0.030073663219809532,
0.03941620886325836,
-0.05597620829939842,
-0.07563136518001556,
-0.030284550040960312,
0.07637841999530792,
0.07130282372236252,
0.03841281682252884,
0.021507522091269493,
-0.018279390409588814,
0.04170054942369461,
0.07354369759559631,
-0.032696254551410675,
0.0037329201586544514,
-0.024479450657963753,
0.03615069389343262,
0.007585642859339714,
-0.022416777908802032,
0.004723056685179472,
-0.003758206032216549,
0.009957677684724331,
-0.007682833354920149,
0.08550465106964111,
0.021450189873576164,
0.06891713291406631,
-0.03702579811215401,
-0.02579733356833458,
-0.09775985032320023,
0.015421162359416485,
-0.03122929111123085,
0.03353489935398102,
0.022920381277799606,
-0.06759421527385712,
-0.06134750694036484,
-0.0320819728076458,
0.04148092120885849,
-0.0005539436242543161,
0.00966692715883255,
-0.04815102741122246,
0.055953364819288254,
-0.0267682746052742,
-0.02724875882267952,
-0.09321658313274384,
0.034778892993927,
-0.1104082465171814,
0.006223444826900959,
-0.01504050474613905,
-0.04884198307991028,
-0.03291071951389313,
0.02353210560977459,
-0.008269456215202808,
-0.08045506477355957,
0.08788403123617172,
0.010412913747131824,
-0.002853587968274951,
-0.005159731954336166,
0.0047251982614398,
0.043183114379644394,
-3.2726181496754965e-33,
-0.06633578985929489,
-0.04257034510374069,
-0.05946604534983635,
0.10766930133104324,
-0.0030645804945379496,
0.0284885261207819,
-0.04693334922194481,
0.010848953388631344,
0.044816549867391586,
-0.0475025400519371,
-0.06717069447040558,
-0.025423845276236534,
0.005073819775134325,
-0.048119720071554184,
-0.004517701454460621,
0.020420745015144348,
-0.03692767769098282,
-0.048934709280729294,
-0.11156001687049866,
-0.031555816531181335,
-0.016248492524027824,
0.029809093102812767,
-0.0056695942766964436,
0.042067188769578934,
-0.0070356582291424274,
0.040245480835437775,
-0.13183480501174927,
-0.09523665904998779,
0.005251025315374136,
-0.0015677635092288256,
-0.04352598637342453,
-0.03185926750302315,
-0.0296874288469553,
-0.007097925525158644,
0.030751213431358337,
-0.040999576449394226,
0.03073272481560707,
-0.031200649216771126,
0.03731243684887886,
0.06369385123252869,
0.06994014978408813,
0.04875386133790016,
0.010517418384552002,
-0.021646250039339066,
0.07735388725996017,
0.05150427296757698,
-0.018347369506955147,
0.01107685174793005,
0.040609199553728104,
-0.023168468847870827,
-0.004400276578962803,
0.017596226185560226,
-0.006458772346377373,
-0.0522238090634346,
0.01271861046552658,
0.02561810240149498,
-0.037968967109918594,
-0.04405507072806358,
-0.029996829107403755,
-0.017578719183802605,
-0.13405050337314606,
-0.0008105903398245573,
0.07249818742275238,
0.02055331878364086,
0.05087023973464966,
-0.05562378466129303,
-0.031169842928647995,
0.011045098304748535,
-0.039473023265600204,
0.017343489453196526,
0.07812956720590591,
-0.07490865141153336,
-0.07805519551038742,
-0.07303303480148315,
-0.03730788454413414,
0.04176834598183632,
0.042482923716306686,
-0.05488061532378197,
-0.027538875117897987,
0.026468822732567787,
0.061406221240758896,
-0.014262937009334564,
0.01561017520725727,
-0.022574443370103836,
0.016758384183049202,
0.030616924166679382,
0.043745461851358414,
-0.025574561208486557,
0.02179567888379097,
0.10755375772714615,
-0.048285674303770065,
0.016325289383530617,
-0.08102016896009445,
0.0526643842458725,
-0.053088605403900146,
-3.351898314463142e-8,
-0.021368810907006264,
0.02127332054078579,
0.009197204373776913,
0.0027419973630458117,
0.06125745177268982,
-0.01743140257894993,
-0.020895209163427353,
0.08268564939498901,
0.010560452938079834,
0.016063639894127846,
0.08884447067975998,
-0.055225297808647156,
-0.11314605176448822,
0.015995806083083153,
-0.006902202498167753,
0.06586255878210068,
-0.07412517815828323,
0.009697699919342995,
-0.048524606972932816,
0.03512188047170639,
0.013788065873086452,
0.08577294647693634,
-0.014300667680799961,
0.08024203777313232,
-0.01723538339138031,
-0.04485762491822243,
-0.00027752851019613445,
0.06789717078208923,
0.028575439006090164,
0.04272383451461792,
0.06943484395742416,
0.059650298207998276,
0.017249414697289467,
-0.03129686415195465,
-0.030386384576559067,
0.060604277998209,
0.04108820855617523,
0.039778828620910645,
-0.00108281837310642,
-0.012072806246578693,
0.0018525266787037253,
0.027299528941512108,
-0.1028720811009407,
0.03211565688252449,
0.05975063145160675,
-0.05485193058848381,
0.022035544738173485,
-0.00947272963821888,
-0.05774976313114166,
-0.10323533415794373,
-0.07116113603115082,
-0.1094520092010498,
-0.008277550339698792,
0.0285298153758049,
-0.010764485225081444,
-0.04016157239675522,
-0.002516774693503976,
0.04193182662129402,
0.1300259232521057,
0.008846449665725231,
0.031040852889418602,
0.028666876256465912,
0.05690782517194748,
0.09000277519226074
] |
1401.7815
|
Vyacheslav Sokolov
|
V. G. Plotnichenko, D. V. Philippovskiy, V. O. Sokolov, M. V.
Sukhanov, A. P. Velmuzhov, M. F. Churbanov, and E. M. Dianov
|
Infrared luminescence in Bi-doped Ge-S and As-Ge-S chalcogenide glasses
and fibers
|
7 pages, 4 figures
|
Optical Materials Express, 4 366 (2014)
|
10.1364/OME.4.000366
| null |
cond-mat.mtrl-sci physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Experimental and theoretical studies of spectral properties of chalcogenide
Ge-S and As-Ge-S glasses and fibers are performed. A broad infrared (IR)
luminescence band which covers the 1.2-2.3~$\mu$m range with a lifetime about
6~$\mu$s is discovered. Similar luminescence is also present in optical fibers
drawn from these glasses. Arsenic addition to Ge-S glass significantly enhances
both its resistance to crystallization and the intensity of the luminescence.
Computer modeling of Bi-related centers shows that interstitial Bi$^+$ ions
adjacent to negatively charged S vacancies are most likely responsible for the
IR luminescence.
|
[
{
"created": "Thu, 30 Jan 2014 12:06:19 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Plotnichenko",
"V. G.",
""
],
[
"Philippovskiy",
"D. V.",
""
],
[
"Sokolov",
"V. O.",
""
],
[
"Sukhanov",
"M. V.",
""
],
[
"Velmuzhov",
"A. P.",
""
],
[
"Churbanov",
"M. F.",
""
],
[
"Dianov",
"E. M.",
""
]
] |
[
0.012571915984153748,
-0.06437993794679642,
-0.012332938611507416,
0.03165915235877037,
0.05504956468939781,
-0.09679150581359863,
0.1448114812374115,
0.03376296907663345,
0.005133535247296095,
0.03334829583764076,
-0.016090406104922295,
0.03398287668824196,
0.03436340019106865,
0.009265975095331669,
0.015598850324749947,
-0.050265297293663025,
0.08001431822776794,
-0.07946182787418365,
-0.0033056610263884068,
0.06500224024057388,
0.05999290198087692,
-0.11402583867311478,
-0.016975145787000656,
-0.02380947396159172,
0.02406168356537819,
-0.019265951588749886,
0.050528790801763535,
0.010973307304084301,
-0.04772420600056648,
-0.02357381582260132,
0.09882839024066925,
-0.032201025635004044,
0.025834493339061737,
0.022919563576579094,
-0.053657278418540955,
-0.03816661238670349,
-0.0027171296533197165,
-0.031762562692165375,
-0.05443871021270752,
0.03015861101448536,
-0.04888692498207092,
0.002808348974213004,
0.02328398823738098,
0.03422282263636589,
0.039586469531059265,
-0.040663570165634155,
-0.0009835372911766171,
-0.08293379843235016,
-0.1390836089849472,
0.012624209746718407,
0.005974344909191132,
0.03442128375172615,
-0.022714685648679733,
0.023247964680194855,
-0.03924925625324249,
0.08972937613725662,
-0.045464638620615005,
0.03070823848247528,
-0.012511586770415306,
-0.03846470266580582,
0.018617821857333183,
-0.022199012339115143,
0.016665801405906677,
-0.050887756049633026,
0.015050912275910378,
0.02248404547572136,
0.06699922680854797,
-0.007295531220734119,
0.045390475541353226,
-0.05142878741025925,
-0.035061758011579514,
0.030062450096011162,
0.004982165526598692,
0.023633627220988274,
0.017208192497491837,
0.07717058062553406,
0.08780858665704727,
0.06304938346147537,
-0.040672846138477325,
0.007009617984294891,
-0.04775218293070793,
0.006996918004006147,
0.08307627588510513,
0.08944833278656006,
0.072936050593853,
0.04446231201291084,
-0.01957017369568348,
0.04036213457584381,
-0.05154109746217728,
-0.06571689248085022,
-0.01039575133472681,
0.031132178381085396,
-0.0268683023750782,
-0.06674681603908539,
0.032634004950523376,
0.1037200465798378,
-0.03973608464002609,
-0.03478817641735077,
-0.008648290298879147,
-0.04787810519337654,
0.07350597530603409,
0.005304738879203796,
-0.022237051278352737,
0.01100874226540327,
-0.032247114926576614,
-0.00854447204619646,
0.01830684021115303,
0.09853030741214752,
-0.06395848095417023,
0.0024203236680477858,
0.05131739005446434,
0.046963997185230255,
0.06511122733354568,
-0.021594040095806122,
0.003511762246489525,
0.043091971427202225,
0.03848155960440636,
0.05761188641190529,
-0.01943613775074482,
-0.01644737459719181,
0.0037438662257045507,
0.0863410085439682,
0.01814436912536621,
0.02431786246597767,
-0.05531839653849602,
-0.044147007167339325,
-0.0318700410425663,
3.206766588800447e-33,
0.00526970811188221,
0.021105196326971054,
-0.002776837907731533,
0.028249846771359444,
-0.09016460180282593,
-0.06930149346590042,
-0.06626425683498383,
0.000008844643161864951,
-0.07826957106590271,
-0.020766660571098328,
-0.012942209839820862,
0.010265571065247059,
0.05246441066265106,
-0.020878387615084648,
-0.051185350865125656,
0.040537089109420776,
0.026084287092089653,
-0.037616364657878876,
-0.001298723858781159,
-0.07714592665433884,
-0.058968544006347656,
0.020686697214841843,
0.0811002179980278,
0.06639250367879868,
0.014998516999185085,
0.02558572217822075,
0.003985571209341288,
0.0077242241241037846,
-0.02984655275940895,
-0.0013631146866828203,
0.08263803273439407,
0.025684617459774017,
0.0118950754404068,
0.05762811005115509,
-0.008310502395033836,
0.07400181889533997,
-0.0593918152153492,
0.038722310215234756,
0.04840988665819168,
-0.02447700873017311,
-0.06818416714668274,
0.07315266132354736,
0.12314031273126602,
0.07882191985845566,
0.04122006148099899,
-0.027767708525061607,
-0.055093180388212204,
0.006189944688230753,
0.027158696204423904,
-0.012504794634878635,
-0.10948267579078674,
-0.07918822765350342,
-0.08973459899425507,
0.06063934043049812,
-0.04981722682714462,
0.04497080296278,
0.014642114751040936,
0.05018918961286545,
0.06869309395551682,
-0.0656084418296814,
0.06768152862787247,
-0.06621916592121124,
-0.0510857030749321,
0.015564686618745327,
-0.03716978058218956,
0.06620610505342484,
-0.03132764622569084,
0.08108356595039368,
-0.05694440007209778,
0.030148550868034363,
0.06155867129564285,
-0.04851052165031433,
0.029354257509112358,
0.028126202523708344,
-0.0307471826672554,
0.015031957067549229,
-0.020749172195792198,
-0.06732138246297836,
0.03142888471484184,
0.09190153330564499,
-0.07065316289663315,
-0.01971052773296833,
-0.07035252451896667,
-0.09323444962501526,
-0.06840843707323074,
-0.036967746913433075,
-0.025808561593294144,
-0.003757910802960396,
0.0023847559932619333,
-0.016456738114356995,
0.07489099353551865,
-0.026709238067269325,
-0.01566210947930813,
-0.045080602169036865,
-0.10652674734592438,
-2.9217602692619064e-33,
0.061120521277189255,
-0.05838894098997116,
0.02094840072095394,
0.053930338472127914,
0.04451892152428627,
-0.045885633677244186,
0.05608181282877922,
0.04939456284046173,
-0.011785847134888172,
-0.058638740330934525,
0.12465021759271622,
0.06364302337169647,
-0.066106416285038,
-0.07224095612764359,
-0.05452054366469383,
-0.020624792203307152,
0.08967429399490356,
-0.02575947344303131,
0.12343477457761765,
0.03882851451635361,
0.019430020824074745,
0.050885580480098724,
0.033746395260095596,
-0.07472933083772659,
-0.02484201453626156,
-0.004232526291161776,
0.045333489775657654,
-0.0747644379734993,
-0.0762590691447258,
0.05426228046417236,
0.003095578635111451,
0.022087976336479187,
0.001900642178952694,
-0.019258130341768265,
-0.03631308674812317,
-0.020476803183555603,
0.006221260409802198,
-0.02771487645804882,
-0.12519970536231995,
-0.09182146936655045,
-0.0002196329878643155,
0.023494143038988113,
0.056417591869831085,
0.005396587308496237,
0.03897586837410927,
0.008012033067643642,
-0.10773292928934097,
0.006970757618546486,
0.004406159743666649,
0.000179904920514673,
0.003904500510543585,
-0.05620400980114937,
-0.016428839415311813,
-0.0607791543006897,
-0.009116902947425842,
-0.07005380094051361,
-0.02668638713657856,
0.07604896277189255,
-0.031155873090028763,
0.014592970721423626,
0.024619759991765022,
0.05353980511426926,
0.039552394300699234,
-0.08790192008018494,
-0.023581257089972496,
0.11453506350517273,
-0.009768499061465263,
0.08860532939434052,
0.09389173984527588,
-0.0674990862607956,
0.09331677854061127,
-0.01579945906996727,
-0.025114908814430237,
-0.020594552159309387,
-0.01654108613729477,
-0.06429458409547806,
-0.055274754762649536,
0.048715926706790924,
0.010576867498457432,
-0.008208573795855045,
-0.02311544306576252,
0.06620727479457855,
-0.005762843415141106,
0.06279055774211884,
0.013240589760243893,
-0.05391942709684372,
-0.04117660969495773,
0.0028999538626521826,
-0.031848300248384476,
-0.07472038269042969,
-0.031908050179481506,
-0.04673299938440323,
-0.0010996392229571939,
0.012278204783797264,
0.08930552005767822,
-4.0630119713114254e-8,
-0.0697178840637207,
0.060869522392749786,
-0.05613609775900841,
0.03873637318611145,
-0.035134457051754,
-0.03376122564077377,
0.00459580821916461,
-0.004172756336629391,
-0.03394070640206337,
-0.011300798505544662,
-0.007819985039532185,
0.05927794799208641,
-0.004334910772740841,
-0.004787937272340059,
0.03417539969086647,
-0.017382321879267693,
-0.004788745194673538,
0.03940145671367645,
-0.004198108334094286,
-0.023574545979499817,
0.07109089195728302,
-0.03281702101230621,
0.052802737802267075,
0.05479133874177933,
0.036389827728271484,
0.043809812515974045,
-0.08509942144155502,
-0.08158956468105316,
0.037276022136211395,
-0.029144445434212685,
0.008596855215728283,
-0.06341787427663803,
0.09201782196760178,
0.09765288233757019,
0.014750108122825623,
-0.0002818376524373889,
-0.11994040757417679,
0.01474642101675272,
-0.028490636497735977,
-0.03497682139277458,
0.014226045459508896,
-0.05847560986876488,
0.07907696813344955,
0.016255764290690422,
-0.06761319935321808,
-0.05164974182844162,
0.0317048653960228,
-0.0002491074556019157,
-0.04984094575047493,
0.018457258120179176,
0.07537999004125595,
-0.04502416029572487,
0.026780735701322556,
0.04366711154580116,
-0.07574761658906937,
-0.09284380078315735,
0.058609217405319214,
-0.008993458934128284,
0.03255574032664299,
-0.020063491538167,
0.08160456269979477,
-0.07396744936704636,
-0.018559597432613373,
-0.030639979988336563
] | null | null | null | null | null | null | null |
[
0.012571915984153748,
-0.06437993794679642,
-0.012332938611507416,
0.03165915235877037,
0.05504956468939781,
-0.09679150581359863,
0.1448114812374115,
0.03376296907663345,
0.005133535247296095,
0.03334829583764076,
-0.016090406104922295,
0.03398287668824196,
0.03436340019106865,
0.009265975095331669,
0.015598850324749947,
-0.050265297293663025,
0.08001431822776794,
-0.07946182787418365,
-0.0033056610263884068,
0.06500224024057388,
0.05999290198087692,
-0.11402583867311478,
-0.016975145787000656,
-0.02380947396159172,
0.02406168356537819,
-0.019265951588749886,
0.050528790801763535,
0.010973307304084301,
-0.04772420600056648,
-0.02357381582260132,
0.09882839024066925,
-0.032201025635004044,
0.025834493339061737,
0.022919563576579094,
-0.053657278418540955,
-0.03816661238670349,
-0.0027171296533197165,
-0.031762562692165375,
-0.05443871021270752,
0.03015861101448536,
-0.04888692498207092,
0.002808348974213004,
0.02328398823738098,
0.03422282263636589,
0.039586469531059265,
-0.040663570165634155,
-0.0009835372911766171,
-0.08293379843235016,
-0.1390836089849472,
0.012624209746718407,
0.005974344909191132,
0.03442128375172615,
-0.022714685648679733,
0.023247964680194855,
-0.03924925625324249,
0.08972937613725662,
-0.045464638620615005,
0.03070823848247528,
-0.012511586770415306,
-0.03846470266580582,
0.018617821857333183,
-0.022199012339115143,
0.016665801405906677,
-0.050887756049633026,
0.015050912275910378,
0.02248404547572136,
0.06699922680854797,
-0.007295531220734119,
0.045390475541353226,
-0.05142878741025925,
-0.035061758011579514,
0.030062450096011162,
0.004982165526598692,
0.023633627220988274,
0.017208192497491837,
0.07717058062553406,
0.08780858665704727,
0.06304938346147537,
-0.040672846138477325,
0.007009617984294891,
-0.04775218293070793,
0.006996918004006147,
0.08307627588510513,
0.08944833278656006,
0.072936050593853,
0.04446231201291084,
-0.01957017369568348,
0.04036213457584381,
-0.05154109746217728,
-0.06571689248085022,
-0.01039575133472681,
0.031132178381085396,
-0.0268683023750782,
-0.06674681603908539,
0.032634004950523376,
0.1037200465798378,
-0.03973608464002609,
-0.03478817641735077,
-0.008648290298879147,
-0.04787810519337654,
0.07350597530603409,
0.005304738879203796,
-0.022237051278352737,
0.01100874226540327,
-0.032247114926576614,
-0.00854447204619646,
0.01830684021115303,
0.09853030741214752,
-0.06395848095417023,
0.0024203236680477858,
0.05131739005446434,
0.046963997185230255,
0.06511122733354568,
-0.021594040095806122,
0.003511762246489525,
0.043091971427202225,
0.03848155960440636,
0.05761188641190529,
-0.01943613775074482,
-0.01644737459719181,
0.0037438662257045507,
0.0863410085439682,
0.01814436912536621,
0.02431786246597767,
-0.05531839653849602,
-0.044147007167339325,
-0.0318700410425663,
3.206766588800447e-33,
0.00526970811188221,
0.021105196326971054,
-0.002776837907731533,
0.028249846771359444,
-0.09016460180282593,
-0.06930149346590042,
-0.06626425683498383,
0.000008844643161864951,
-0.07826957106590271,
-0.020766660571098328,
-0.012942209839820862,
0.010265571065247059,
0.05246441066265106,
-0.020878387615084648,
-0.051185350865125656,
0.040537089109420776,
0.026084287092089653,
-0.037616364657878876,
-0.001298723858781159,
-0.07714592665433884,
-0.058968544006347656,
0.020686697214841843,
0.0811002179980278,
0.06639250367879868,
0.014998516999185085,
0.02558572217822075,
0.003985571209341288,
0.0077242241241037846,
-0.02984655275940895,
-0.0013631146866828203,
0.08263803273439407,
0.025684617459774017,
0.0118950754404068,
0.05762811005115509,
-0.008310502395033836,
0.07400181889533997,
-0.0593918152153492,
0.038722310215234756,
0.04840988665819168,
-0.02447700873017311,
-0.06818416714668274,
0.07315266132354736,
0.12314031273126602,
0.07882191985845566,
0.04122006148099899,
-0.027767708525061607,
-0.055093180388212204,
0.006189944688230753,
0.027158696204423904,
-0.012504794634878635,
-0.10948267579078674,
-0.07918822765350342,
-0.08973459899425507,
0.06063934043049812,
-0.04981722682714462,
0.04497080296278,
0.014642114751040936,
0.05018918961286545,
0.06869309395551682,
-0.0656084418296814,
0.06768152862787247,
-0.06621916592121124,
-0.0510857030749321,
0.015564686618745327,
-0.03716978058218956,
0.06620610505342484,
-0.03132764622569084,
0.08108356595039368,
-0.05694440007209778,
0.030148550868034363,
0.06155867129564285,
-0.04851052165031433,
0.029354257509112358,
0.028126202523708344,
-0.0307471826672554,
0.015031957067549229,
-0.020749172195792198,
-0.06732138246297836,
0.03142888471484184,
0.09190153330564499,
-0.07065316289663315,
-0.01971052773296833,
-0.07035252451896667,
-0.09323444962501526,
-0.06840843707323074,
-0.036967746913433075,
-0.025808561593294144,
-0.003757910802960396,
0.0023847559932619333,
-0.016456738114356995,
0.07489099353551865,
-0.026709238067269325,
-0.01566210947930813,
-0.045080602169036865,
-0.10652674734592438,
-2.9217602692619064e-33,
0.061120521277189255,
-0.05838894098997116,
0.02094840072095394,
0.053930338472127914,
0.04451892152428627,
-0.045885633677244186,
0.05608181282877922,
0.04939456284046173,
-0.011785847134888172,
-0.058638740330934525,
0.12465021759271622,
0.06364302337169647,
-0.066106416285038,
-0.07224095612764359,
-0.05452054366469383,
-0.020624792203307152,
0.08967429399490356,
-0.02575947344303131,
0.12343477457761765,
0.03882851451635361,
0.019430020824074745,
0.050885580480098724,
0.033746395260095596,
-0.07472933083772659,
-0.02484201453626156,
-0.004232526291161776,
0.045333489775657654,
-0.0747644379734993,
-0.0762590691447258,
0.05426228046417236,
0.003095578635111451,
0.022087976336479187,
0.001900642178952694,
-0.019258130341768265,
-0.03631308674812317,
-0.020476803183555603,
0.006221260409802198,
-0.02771487645804882,
-0.12519970536231995,
-0.09182146936655045,
-0.0002196329878643155,
0.023494143038988113,
0.056417591869831085,
0.005396587308496237,
0.03897586837410927,
0.008012033067643642,
-0.10773292928934097,
0.006970757618546486,
0.004406159743666649,
0.000179904920514673,
0.003904500510543585,
-0.05620400980114937,
-0.016428839415311813,
-0.0607791543006897,
-0.009116902947425842,
-0.07005380094051361,
-0.02668638713657856,
0.07604896277189255,
-0.031155873090028763,
0.014592970721423626,
0.024619759991765022,
0.05353980511426926,
0.039552394300699234,
-0.08790192008018494,
-0.023581257089972496,
0.11453506350517273,
-0.009768499061465263,
0.08860532939434052,
0.09389173984527588,
-0.0674990862607956,
0.09331677854061127,
-0.01579945906996727,
-0.025114908814430237,
-0.020594552159309387,
-0.01654108613729477,
-0.06429458409547806,
-0.055274754762649536,
0.048715926706790924,
0.010576867498457432,
-0.008208573795855045,
-0.02311544306576252,
0.06620727479457855,
-0.005762843415141106,
0.06279055774211884,
0.013240589760243893,
-0.05391942709684372,
-0.04117660969495773,
0.0028999538626521826,
-0.031848300248384476,
-0.07472038269042969,
-0.031908050179481506,
-0.04673299938440323,
-0.0010996392229571939,
0.012278204783797264,
0.08930552005767822,
-4.0630119713114254e-8,
-0.0697178840637207,
0.060869522392749786,
-0.05613609775900841,
0.03873637318611145,
-0.035134457051754,
-0.03376122564077377,
0.00459580821916461,
-0.004172756336629391,
-0.03394070640206337,
-0.011300798505544662,
-0.007819985039532185,
0.05927794799208641,
-0.004334910772740841,
-0.004787937272340059,
0.03417539969086647,
-0.017382321879267693,
-0.004788745194673538,
0.03940145671367645,
-0.004198108334094286,
-0.023574545979499817,
0.07109089195728302,
-0.03281702101230621,
0.052802737802267075,
0.05479133874177933,
0.036389827728271484,
0.043809812515974045,
-0.08509942144155502,
-0.08158956468105316,
0.037276022136211395,
-0.029144445434212685,
0.008596855215728283,
-0.06341787427663803,
0.09201782196760178,
0.09765288233757019,
0.014750108122825623,
-0.0002818376524373889,
-0.11994040757417679,
0.01474642101675272,
-0.028490636497735977,
-0.03497682139277458,
0.014226045459508896,
-0.05847560986876488,
0.07907696813344955,
0.016255764290690422,
-0.06761319935321808,
-0.05164974182844162,
0.0317048653960228,
-0.0002491074556019157,
-0.04984094575047493,
0.018457258120179176,
0.07537999004125595,
-0.04502416029572487,
0.026780735701322556,
0.04366711154580116,
-0.07574761658906937,
-0.09284380078315735,
0.058609217405319214,
-0.008993458934128284,
0.03255574032664299,
-0.020063491538167,
0.08160456269979477,
-0.07396744936704636,
-0.018559597432613373,
-0.030639979988336563
] |
1401.7816
|
Navid Constantinou
|
Navid C. Constantinou, Adrian Lozano-Dur\'an, Marios-Andreas
Nikolaidis, Brian F. Farrell, Petros J. Ioannou and Javier Jim\'enez
|
Turbulence in the highly restricted dynamics of a closure at second
order: comparison with DNS
|
18 pages, 14 figures
|
J. Phys.: Conf. Ser., 2014, 506, 012004
|
10.1088/1742-6596/506/1/012004
| null |
physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
S3T (Stochastic Structural Stability Theory) employs a closure at second
order to obtain the dynamics of the statistical mean turbulent state. When S3T
is implemented as a coupled set of equations for the streamwise mean and
perturbation states, nonlinearity in the dynamics is restricted to interaction
between the mean and perturbations. The S3T statistical mean state dynamics can
be approximately implemented by similarly restricting the dynamics used in a
direct numerical simulation (DNS) of the full Navier-Stokes equations (referred
to as the NS system). Although this restricted nonlinear system (referred to as
the RNL system) is greatly simplified in its dynamics in comparison to the
associated NS, it nevertheless self-sustains a turbulent state in wall-bounded
shear flow with structures and dynamics comparable to that in observed
turbulence. Moreover, RNL turbulence can be analyzed effectively using
theoretical methods developed to study the closely related S3T system. In order
to better understand RNL turbulence and its relation to NS turbulence, an
extensive comparison is made of diagnostics of structure and dynamics in these
systems. Although quantitative differences are found, the results show that
turbulence in the RNL system closely parallels that in NS and suggest that the
S3T/RNL system provides a promising reduced complexity model for studying
turbulence in wall-bounded shear flows.
|
[
{
"created": "Thu, 30 Jan 2014 12:10:58 GMT",
"version": "v1"
}
] |
2014-04-17
|
[
[
"Constantinou",
"Navid C.",
""
],
[
"Lozano-Durán",
"Adrian",
""
],
[
"Nikolaidis",
"Marios-Andreas",
""
],
[
"Farrell",
"Brian F.",
""
],
[
"Ioannou",
"Petros J.",
""
],
[
"Jiménez",
"Javier",
""
]
] |
[
-0.07024970650672913,
-0.11494874954223633,
0.013403592631220818,
-0.010783040896058083,
0.00755792111158371,
-0.011342578567564487,
-0.10022784769535065,
-0.039351627230644226,
0.11558843404054642,
-0.04593431577086449,
-0.08093686401844025,
0.02897440828382969,
0.030150633305311203,
-0.041612833738327026,
-0.0038433526642620564,
-0.05781705304980278,
-0.061491578817367554,
0.057188309729099274,
-0.06612792611122131,
0.031186077743768692,
0.0912722498178482,
0.05507225915789604,
-0.054709192365407944,
0.06259523332118988,
0.10680784285068512,
0.020722076296806335,
-0.10570365190505981,
-0.021756406873464584,
-0.020026419311761856,
-0.005747513379901648,
0.08996293693780899,
-0.06825123727321625,
-0.05777444690465927,
-0.012144588865339756,
-0.035897254943847656,
-0.10285411775112152,
-0.002029212424531579,
0.0767071396112442,
-0.16241660714149475,
0.05948678404092789,
-0.0894981250166893,
0.046603865921497345,
0.03345640003681183,
-0.002338005229830742,
0.06994180381298065,
0.04796094447374344,
-0.0007173730409704149,
-0.14144796133041382,
-0.021034657955169678,
0.003106458578258753,
-0.05216556042432785,
0.0119846286252141,
-0.07555166631937027,
-0.020706135779619217,
0.06501375883817673,
0.10191693156957626,
0.037331510335206985,
0.043852776288986206,
-0.07049962133169174,
-0.0667053684592247,
0.07516153156757355,
-0.04213668406009674,
0.034810446202754974,
0.024822862818837166,
0.06835443526506424,
0.04454810917377472,
-0.07376078516244888,
0.11690520495176315,
0.05851335823535919,
-0.007957274094223976,
-0.04281153529882431,
-0.018293902277946472,
-0.002555545885115862,
0.07606830447912216,
0.04628315940499306,
0.00476713664829731,
0.000655135721899569,
0.002220842754468322,
-0.006572043523192406,
0.018664132803678513,
0.0627141073346138,
0.045415010303258896,
0.007211096119135618,
0.04278592765331268,
-0.0421808585524559,
0.05918821692466736,
-0.017795715481042862,
-0.013199429027736187,
-0.0587521456182003,
0.019509335979819298,
-0.04337070509791374,
-0.013112962245941162,
-0.05410117283463478,
0.02147846855223179,
0.03862260654568672,
0.026236718520522118,
-0.00372193637304008,
-0.03583340719342232,
0.0729406476020813,
0.006220369134098291,
0.07067497819662094,
0.008479144424200058,
0.053313225507736206,
0.09670720994472504,
0.03549710661172867,
0.05262168496847153,
0.06927645951509476,
-0.03355502337217331,
-0.05231908708810806,
-0.0005200958694331348,
-0.021213233470916748,
0.010825357399880886,
-0.02336762472987175,
0.012744097039103508,
-0.05212170630693436,
-0.018805092200636864,
0.026790322735905647,
-0.06338070333003998,
0.004803912248462439,
-0.011163773946464062,
0.008396121673285961,
0.016759805381298065,
-0.004544905386865139,
-0.02006571553647518,
0.07087139785289764,
-0.0009723170078359544,
0.061688266694545746,
1.4097844257720816e-33,
-0.02896900102496147,
-0.05783408135175705,
-0.0628199651837349,
0.0503363162279129,
-0.005126175470650196,
-0.001589994877576828,
0.08176659792661667,
-0.03671758621931076,
-0.04628543183207512,
0.04119837284088135,
-0.05179924890398979,
0.0033735523466020823,
-0.0571666844189167,
-0.030036749318242073,
-0.09495529532432556,
-0.03001229278743267,
-0.023263586685061455,
-0.09560632705688477,
-0.0241610798984766,
-0.004480716772377491,
0.044472213834524155,
0.07489857822656631,
-0.020510494709014893,
-0.04057972878217697,
0.022352732717990875,
-0.08773048222064972,
0.0644528940320015,
-0.0006208904669620097,
0.006856301799416542,
0.04826986417174339,
0.022362250834703445,
0.06058370694518089,
-0.06791048496961594,
-0.027352280914783478,
-0.0178300179541111,
0.012106603011488914,
0.00974436104297638,
-0.008254206739366055,
0.010501468554139137,
0.04514008387923241,
-0.0032393429428339005,
0.024651862680912018,
-0.10557275265455246,
0.10497745871543884,
-0.06721317768096924,
-0.05455358698964119,
0.014055060222744942,
0.06885508447885513,
-0.04096898436546326,
-0.07404981553554535,
0.012197124771773815,
0.026231816038489342,
-0.023368531838059425,
0.06802179664373398,
0.04957825317978859,
-0.017388494685292244,
0.03782347962260246,
0.05501812323927879,
-0.04911527410149574,
0.01743435487151146,
-0.06271420419216156,
-0.048739150166511536,
-0.0034495426807552576,
0.006990717723965645,
0.07892624288797379,
0.11105233430862427,
-0.06003624200820923,
0.07345941662788391,
0.05636654049158096,
-0.08767545968294144,
0.051164157688617706,
0.011617480777204037,
0.009720340371131897,
0.06594452261924744,
-0.022888734936714172,
-0.028818508610129356,
-0.018816107884049416,
0.04035114496946335,
-0.04189492017030716,
0.030565189197659492,
-0.0812414363026619,
0.01264065969735384,
-0.021768152713775635,
0.016666550189256668,
-0.07853950560092926,
-0.043277908116579056,
0.0342475101351738,
-0.09023141115903854,
-0.08872456848621368,
0.005071911495178938,
0.00892343558371067,
-0.02783246897161007,
0.13658203184604645,
0.01589871570467949,
-0.0662553533911705,
-3.981441243221336e-33,
-0.024265078827738762,
0.06448334455490112,
-0.005031499546021223,
0.04753010347485542,
0.03965828940272331,
0.04894858971238136,
-0.025097638368606567,
0.045774079859256744,
0.026814822107553482,
-0.04028584435582161,
0.04683132842183113,
0.009055815637111664,
-0.0028937826864421368,
0.012398635037243366,
0.12332193553447723,
-0.07286413758993149,
-0.0021641217172145844,
-0.06674442440271378,
0.012230352498590946,
-0.014765970408916473,
-0.026270458474755287,
-0.031081225723028183,
-0.04644010215997696,
0.048613760620355606,
-0.029331279918551445,
0.024654697626829147,
-0.05737611651420593,
-0.04179659113287926,
-0.04374052211642265,
-0.02259991690516472,
0.029247773811221123,
-0.019392279908061028,
-0.017406601458787918,
0.09101484715938568,
-0.009580597281455994,
0.07439567148685455,
0.03362014889717102,
0.014383967034518719,
-0.0427686832845211,
-0.11390463262796402,
0.030291056260466576,
0.04365771636366844,
0.08547291904687881,
-0.07481928914785385,
0.07039854675531387,
0.06922617554664612,
-0.06840993463993073,
-0.005418463610112667,
0.08915621042251587,
-0.0697876513004303,
-0.03834337741136551,
-0.021290920674800873,
-0.018541699275374413,
0.056992433965206146,
0.05992487818002701,
0.02155875228345394,
0.06181979551911354,
-0.011420221999287605,
0.011044271290302277,
0.0039439150132238865,
-0.0072427550330758095,
-0.040197111666202545,
-0.025586698204278946,
-0.03627413511276245,
-0.01595977321267128,
-0.04897273704409599,
-0.08925031125545502,
-0.04775846004486084,
0.05711992084980011,
-0.02575605921447277,
-0.01811896450817585,
0.014374434016644955,
0.0047702970914542675,
0.06858726590871811,
0.0374564453959465,
-0.05616690218448639,
-0.013176663778722286,
-0.021967938169836998,
0.000416831171605736,
-0.01946968026459217,
-0.01091887429356575,
0.07993235439062119,
0.023342560976743698,
-0.06651993095874786,
0.043731607496738434,
-0.08890965580940247,
0.0432148352265358,
-0.024315176531672478,
0.04460572451353073,
-0.02251078188419342,
0.0623810850083828,
0.0013493973528966308,
-0.0769084095954895,
-0.031062962487339973,
0.025831883773207664,
-4.594238944832796e-8,
0.06570363789796829,
-0.07539388537406921,
-0.003319291863590479,
0.07070723176002502,
-0.04665832966566086,
0.07431868463754654,
0.041256941854953766,
0.04456157982349396,
0.08611989766359329,
-0.08100949972867966,
0.0743168443441391,
-0.07930577546358109,
-0.033266037702560425,
-0.11228492856025696,
0.006138703785836697,
-0.025039855390787125,
-0.010885367169976234,
-0.010550442151725292,
0.007150891236960888,
-0.0432782880961895,
0.02416563779115677,
0.0338447205722332,
-0.05669211223721504,
0.04232259467244148,
0.028843678534030914,
-0.0011996253160759807,
-0.1084730327129364,
0.006069160532206297,
-0.012608208693563938,
-0.03013254515826702,
-0.002133758272975683,
-0.02223246730864048,
0.006452268920838833,
0.08016320317983627,
-0.04307017847895622,
-0.01113073155283928,
0.033501408994197845,
0.06396987289190292,
0.04546033591032028,
-0.02399333566427231,
0.017485640943050385,
-0.007991106249392033,
0.043103862553834915,
0.01031217910349369,
0.0351903922855854,
0.030907105654478073,
-0.05906013026833534,
-0.05045270174741745,
-0.04659201577305794,
-0.010320024564862251,
0.03566133603453636,
0.001974589191377163,
0.007363506127148867,
0.08668578416109085,
-0.008974092081189156,
-0.0375734306871891,
-0.05716822296380997,
-0.024085011333227158,
-0.021848605945706367,
-0.04209190234541893,
-0.06697214394807816,
-0.007194850128144026,
-0.01403764821588993,
0.041984863579273224
] | null | null | null | null | null | null | null |
[
-0.07024970650672913,
-0.11494874954223633,
0.013403592631220818,
-0.010783040896058083,
0.00755792111158371,
-0.011342578567564487,
-0.10022784769535065,
-0.039351627230644226,
0.11558843404054642,
-0.04593431577086449,
-0.08093686401844025,
0.02897440828382969,
0.030150633305311203,
-0.041612833738327026,
-0.0038433526642620564,
-0.05781705304980278,
-0.061491578817367554,
0.057188309729099274,
-0.06612792611122131,
0.031186077743768692,
0.0912722498178482,
0.05507225915789604,
-0.054709192365407944,
0.06259523332118988,
0.10680784285068512,
0.020722076296806335,
-0.10570365190505981,
-0.021756406873464584,
-0.020026419311761856,
-0.005747513379901648,
0.08996293693780899,
-0.06825123727321625,
-0.05777444690465927,
-0.012144588865339756,
-0.035897254943847656,
-0.10285411775112152,
-0.002029212424531579,
0.0767071396112442,
-0.16241660714149475,
0.05948678404092789,
-0.0894981250166893,
0.046603865921497345,
0.03345640003681183,
-0.002338005229830742,
0.06994180381298065,
0.04796094447374344,
-0.0007173730409704149,
-0.14144796133041382,
-0.021034657955169678,
0.003106458578258753,
-0.05216556042432785,
0.0119846286252141,
-0.07555166631937027,
-0.020706135779619217,
0.06501375883817673,
0.10191693156957626,
0.037331510335206985,
0.043852776288986206,
-0.07049962133169174,
-0.0667053684592247,
0.07516153156757355,
-0.04213668406009674,
0.034810446202754974,
0.024822862818837166,
0.06835443526506424,
0.04454810917377472,
-0.07376078516244888,
0.11690520495176315,
0.05851335823535919,
-0.007957274094223976,
-0.04281153529882431,
-0.018293902277946472,
-0.002555545885115862,
0.07606830447912216,
0.04628315940499306,
0.00476713664829731,
0.000655135721899569,
0.002220842754468322,
-0.006572043523192406,
0.018664132803678513,
0.0627141073346138,
0.045415010303258896,
0.007211096119135618,
0.04278592765331268,
-0.0421808585524559,
0.05918821692466736,
-0.017795715481042862,
-0.013199429027736187,
-0.0587521456182003,
0.019509335979819298,
-0.04337070509791374,
-0.013112962245941162,
-0.05410117283463478,
0.02147846855223179,
0.03862260654568672,
0.026236718520522118,
-0.00372193637304008,
-0.03583340719342232,
0.0729406476020813,
0.006220369134098291,
0.07067497819662094,
0.008479144424200058,
0.053313225507736206,
0.09670720994472504,
0.03549710661172867,
0.05262168496847153,
0.06927645951509476,
-0.03355502337217331,
-0.05231908708810806,
-0.0005200958694331348,
-0.021213233470916748,
0.010825357399880886,
-0.02336762472987175,
0.012744097039103508,
-0.05212170630693436,
-0.018805092200636864,
0.026790322735905647,
-0.06338070333003998,
0.004803912248462439,
-0.011163773946464062,
0.008396121673285961,
0.016759805381298065,
-0.004544905386865139,
-0.02006571553647518,
0.07087139785289764,
-0.0009723170078359544,
0.061688266694545746,
1.4097844257720816e-33,
-0.02896900102496147,
-0.05783408135175705,
-0.0628199651837349,
0.0503363162279129,
-0.005126175470650196,
-0.001589994877576828,
0.08176659792661667,
-0.03671758621931076,
-0.04628543183207512,
0.04119837284088135,
-0.05179924890398979,
0.0033735523466020823,
-0.0571666844189167,
-0.030036749318242073,
-0.09495529532432556,
-0.03001229278743267,
-0.023263586685061455,
-0.09560632705688477,
-0.0241610798984766,
-0.004480716772377491,
0.044472213834524155,
0.07489857822656631,
-0.020510494709014893,
-0.04057972878217697,
0.022352732717990875,
-0.08773048222064972,
0.0644528940320015,
-0.0006208904669620097,
0.006856301799416542,
0.04826986417174339,
0.022362250834703445,
0.06058370694518089,
-0.06791048496961594,
-0.027352280914783478,
-0.0178300179541111,
0.012106603011488914,
0.00974436104297638,
-0.008254206739366055,
0.010501468554139137,
0.04514008387923241,
-0.0032393429428339005,
0.024651862680912018,
-0.10557275265455246,
0.10497745871543884,
-0.06721317768096924,
-0.05455358698964119,
0.014055060222744942,
0.06885508447885513,
-0.04096898436546326,
-0.07404981553554535,
0.012197124771773815,
0.026231816038489342,
-0.023368531838059425,
0.06802179664373398,
0.04957825317978859,
-0.017388494685292244,
0.03782347962260246,
0.05501812323927879,
-0.04911527410149574,
0.01743435487151146,
-0.06271420419216156,
-0.048739150166511536,
-0.0034495426807552576,
0.006990717723965645,
0.07892624288797379,
0.11105233430862427,
-0.06003624200820923,
0.07345941662788391,
0.05636654049158096,
-0.08767545968294144,
0.051164157688617706,
0.011617480777204037,
0.009720340371131897,
0.06594452261924744,
-0.022888734936714172,
-0.028818508610129356,
-0.018816107884049416,
0.04035114496946335,
-0.04189492017030716,
0.030565189197659492,
-0.0812414363026619,
0.01264065969735384,
-0.021768152713775635,
0.016666550189256668,
-0.07853950560092926,
-0.043277908116579056,
0.0342475101351738,
-0.09023141115903854,
-0.08872456848621368,
0.005071911495178938,
0.00892343558371067,
-0.02783246897161007,
0.13658203184604645,
0.01589871570467949,
-0.0662553533911705,
-3.981441243221336e-33,
-0.024265078827738762,
0.06448334455490112,
-0.005031499546021223,
0.04753010347485542,
0.03965828940272331,
0.04894858971238136,
-0.025097638368606567,
0.045774079859256744,
0.026814822107553482,
-0.04028584435582161,
0.04683132842183113,
0.009055815637111664,
-0.0028937826864421368,
0.012398635037243366,
0.12332193553447723,
-0.07286413758993149,
-0.0021641217172145844,
-0.06674442440271378,
0.012230352498590946,
-0.014765970408916473,
-0.026270458474755287,
-0.031081225723028183,
-0.04644010215997696,
0.048613760620355606,
-0.029331279918551445,
0.024654697626829147,
-0.05737611651420593,
-0.04179659113287926,
-0.04374052211642265,
-0.02259991690516472,
0.029247773811221123,
-0.019392279908061028,
-0.017406601458787918,
0.09101484715938568,
-0.009580597281455994,
0.07439567148685455,
0.03362014889717102,
0.014383967034518719,
-0.0427686832845211,
-0.11390463262796402,
0.030291056260466576,
0.04365771636366844,
0.08547291904687881,
-0.07481928914785385,
0.07039854675531387,
0.06922617554664612,
-0.06840993463993073,
-0.005418463610112667,
0.08915621042251587,
-0.0697876513004303,
-0.03834337741136551,
-0.021290920674800873,
-0.018541699275374413,
0.056992433965206146,
0.05992487818002701,
0.02155875228345394,
0.06181979551911354,
-0.011420221999287605,
0.011044271290302277,
0.0039439150132238865,
-0.0072427550330758095,
-0.040197111666202545,
-0.025586698204278946,
-0.03627413511276245,
-0.01595977321267128,
-0.04897273704409599,
-0.08925031125545502,
-0.04775846004486084,
0.05711992084980011,
-0.02575605921447277,
-0.01811896450817585,
0.014374434016644955,
0.0047702970914542675,
0.06858726590871811,
0.0374564453959465,
-0.05616690218448639,
-0.013176663778722286,
-0.021967938169836998,
0.000416831171605736,
-0.01946968026459217,
-0.01091887429356575,
0.07993235439062119,
0.023342560976743698,
-0.06651993095874786,
0.043731607496738434,
-0.08890965580940247,
0.0432148352265358,
-0.024315176531672478,
0.04460572451353073,
-0.02251078188419342,
0.0623810850083828,
0.0013493973528966308,
-0.0769084095954895,
-0.031062962487339973,
0.025831883773207664,
-4.594238944832796e-8,
0.06570363789796829,
-0.07539388537406921,
-0.003319291863590479,
0.07070723176002502,
-0.04665832966566086,
0.07431868463754654,
0.041256941854953766,
0.04456157982349396,
0.08611989766359329,
-0.08100949972867966,
0.0743168443441391,
-0.07930577546358109,
-0.033266037702560425,
-0.11228492856025696,
0.006138703785836697,
-0.025039855390787125,
-0.010885367169976234,
-0.010550442151725292,
0.007150891236960888,
-0.0432782880961895,
0.02416563779115677,
0.0338447205722332,
-0.05669211223721504,
0.04232259467244148,
0.028843678534030914,
-0.0011996253160759807,
-0.1084730327129364,
0.006069160532206297,
-0.012608208693563938,
-0.03013254515826702,
-0.002133758272975683,
-0.02223246730864048,
0.006452268920838833,
0.08016320317983627,
-0.04307017847895622,
-0.01113073155283928,
0.033501408994197845,
0.06396987289190292,
0.04546033591032028,
-0.02399333566427231,
0.017485640943050385,
-0.007991106249392033,
0.043103862553834915,
0.01031217910349369,
0.0351903922855854,
0.030907105654478073,
-0.05906013026833534,
-0.05045270174741745,
-0.04659201577305794,
-0.010320024564862251,
0.03566133603453636,
0.001974589191377163,
0.007363506127148867,
0.08668578416109085,
-0.008974092081189156,
-0.0375734306871891,
-0.05716822296380997,
-0.024085011333227158,
-0.021848605945706367,
-0.04209190234541893,
-0.06697214394807816,
-0.007194850128144026,
-0.01403764821588993,
0.041984863579273224
] |
1401.7821
|
Stephen Allen
|
Stephen Allen
|
Spatial Modelling Techniques in Microsoft Excel
|
9 pages, 5 colour figures, 1 table, Proc. European Spreadsheet Risks
Int. Grp. (EuSpRIG) 2013, ISBN: 978-1-9054045-1-3
| null | null | null |
cs.HC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We begin by considering the expectations of the creators of VisiCalc, the
first spreadsheet. The emphasis is on the nature of the spreadsheet grid. The
grid is taken as a presentational method for showing a solution to a Sudoku
puzzle. We consider methods or approaches for the solution. We look at the
relationship between this model and academic papers on the methods for
describing and categorising end-user models generally. We consider whether the
type of model described here should be categorised separately. The complexity
of the model is reviewed in the context of commendations to minimise overly
sophisticated presentational constructs and formulae.
|
[
{
"created": "Thu, 30 Jan 2014 12:29:46 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Allen",
"Stephen",
""
]
] |
[
-0.016612527891993523,
0.008383708074688911,
-0.09353353083133698,
-0.05742213875055313,
-0.007465173490345478,
0.03734512999653816,
-0.1003924086689949,
0.09902028739452362,
0.06810850650072098,
0.03353630006313324,
-0.06980468332767487,
-0.014176560565829277,
0.005240537691861391,
0.0423918254673481,
-0.054060958325862885,
-0.0017349508125334978,
0.04713798686861992,
-0.01853116787970066,
0.017180856317281723,
0.0009574893047101796,
0.05586758628487587,
-0.053964000195264816,
-0.022553734481334686,
-0.022174766287207603,
0.004552470985800028,
0.0594661720097065,
0.03395949304103851,
0.04441079869866371,
0.03869934007525444,
0.01667875424027443,
-0.06719970703125,
0.03445384278893471,
0.03649146109819412,
0.06964574009180069,
-0.041804928332567215,
0.02632392756640911,
-0.05648600682616234,
0.03763563930988312,
-0.022649593651294708,
0.013629136607050896,
-0.01614047773182392,
-0.0513426698744297,
-0.03168562799692154,
0.002962082391604781,
0.09399376064538956,
-0.06251519918441772,
-0.09496265649795532,
0.060297444462776184,
-0.03972012177109718,
-0.010700438171625137,
-0.12456078827381134,
-0.016933314502239227,
-0.050211913883686066,
-0.045818060636520386,
0.01840827241539955,
-0.06775294989347458,
-0.04146252200007439,
-0.06649718433618546,
0.043399590998888016,
-0.0111240828409791,
-0.03786558657884598,
0.02462933212518692,
-0.038451291620731354,
0.04127878695726395,
0.08858569711446762,
-0.017274919897317886,
-0.11963843554258347,
0.051731739193201065,
-0.039322175085544586,
0.07589543610811234,
-0.024824993684887886,
0.06067467853426933,
-0.006650667171925306,
0.024675240740180016,
0.017929093912243843,
-0.06724921613931656,
-0.056038741022348404,
-0.02573404274880886,
-0.04534158483147621,
-0.07209287583827972,
-0.04593925178050995,
0.04738030210137367,
-0.04397372156381607,
0.07463797181844711,
-0.05897809937596321,
-0.012312383390963078,
0.007116265129297972,
0.0922454223036766,
0.04072539135813713,
-0.03190826252102852,
-0.006411907263100147,
-0.00021567723888438195,
0.15371496975421906,
-0.04372197389602661,
0.02756611816585064,
0.029459036886692047,
0.1023893728852272,
-0.027074705809354782,
-0.0074799698777496815,
-0.006107644643634558,
-0.02665361762046814,
0.01575390435755253,
0.10259102284908295,
-0.0876195952296257,
0.021632492542266846,
-0.018168848007917404,
0.014073275029659271,
0.037916284054517746,
0.026538794860243797,
-0.10671648383140564,
-0.03243202343583107,
-0.010905914008617401,
-0.07200652360916138,
-0.06646442413330078,
-0.014436813071370125,
-0.08802099525928497,
-0.04060851037502289,
-0.045399852097034454,
0.06081615015864372,
0.024186715483665466,
0.08221211284399033,
0.02764727920293808,
0.037172239273786545,
0.02335386909544468,
0.053061824291944504,
0.024973731487989426,
-0.07314407080411911,
-7.970844440288577e-34,
-0.023563187569379807,
-0.02439647726714611,
0.016002057120203972,
0.10468754917383194,
0.060181908309459686,
0.05155227705836296,
-0.04499497637152672,
-0.007783594541251659,
0.013271628879010677,
0.07007201761007309,
-0.06591221690177917,
0.16377626359462738,
-0.045464541763067245,
0.10147552192211151,
0.07920525968074799,
0.04002358019351959,
-0.031024057418107986,
0.08665695786476135,
-0.10626561939716339,
-0.03365497663617134,
0.04912208393216133,
-0.041421785950660706,
0.03944264352321625,
-0.022463876754045486,
-0.03312629461288452,
0.0463392548263073,
0.012466463260352612,
-0.04560140520334244,
0.01082693412899971,
-0.0016945806564763188,
0.004957355558872223,
-0.02996809035539627,
-0.009789015166461468,
-0.0751534029841423,
0.027102846652269363,
0.030600639060139656,
0.014574702829122543,
-0.03254323452711105,
0.12290843576192856,
-0.005913912318646908,
-0.047167327255010605,
-0.033972449600696564,
-0.001365611213259399,
0.04812820255756378,
0.019461218267679214,
0.016371741890907288,
0.049375779926776886,
0.09232566505670547,
0.012967162765562534,
-0.020001593977212906,
0.053198374807834625,
-0.04804309830069542,
0.021183911710977554,
-0.029934054240584373,
-0.008050925098359585,
-0.017185579985380173,
-0.051141299307346344,
0.006984518375247717,
-0.02074853517115116,
0.10125406831502914,
-0.008386983536183834,
0.044629938900470734,
-0.014410286210477352,
0.041409846395254135,
-0.04816156253218651,
-0.0382433719933033,
-0.040369924157857895,
-0.016613759100437164,
0.09189487993717194,
-0.018568553030490875,
-0.04676445573568344,
-0.014392473734915257,
-0.024449726566672325,
-0.013785488903522491,
0.012124265544116497,
-0.015435525216162205,
0.024248909205198288,
0.009634085930883884,
-0.0019885448273271322,
-0.08962833136320114,
-0.0015165640506893396,
-0.06745165586471558,
-0.01299638394266367,
-0.05413047969341278,
-0.06023641675710678,
0.03924496844410896,
-0.014961805194616318,
-0.04505212604999542,
-0.09880319982767105,
0.012531501241028309,
-0.099138043820858,
-0.005393600091338158,
0.01383603923022747,
0.05232569947838783,
0.08408793807029724,
-3.278303134229661e-33,
-0.133267343044281,
-0.03289836272597313,
-0.07733295112848282,
0.0034369591157883406,
0.045488592237234116,
-0.0013245708541944623,
0.035460229963064194,
-0.04469640552997589,
-0.020997915416955948,
0.00011634186375886202,
0.010053446516394615,
0.0013400549069046974,
-0.0006956991855986416,
0.044801533222198486,
0.01450985949486494,
0.01720931939780712,
-0.00513737415894866,
-0.017149435356259346,
-0.08442322164773941,
-0.07209290564060211,
-0.06158352643251419,
0.03701987490057945,
-0.054518237709999084,
-0.03178149089217186,
0.04117804765701294,
0.056244857609272,
-0.007902564480900764,
-0.07221054285764694,
-0.05224232375621796,
0.06318934261798859,
-0.026013286784291267,
-0.05799681693315506,
-0.03654487431049347,
0.036046627908945084,
0.027117133140563965,
0.08174317330121994,
0.022167058661580086,
-0.03513901308178902,
0.014889894053339958,
0.058315493166446686,
0.006448536645621061,
-0.05220504850149155,
-0.04744446277618408,
-0.021625220775604248,
-0.014796694740653038,
0.024951688945293427,
-0.012992121279239655,
0.04483889043331146,
0.03343360498547554,
-0.024228688329458237,
-0.05165157467126846,
0.036017779260873795,
0.008790167048573494,
-0.05404531955718994,
-0.06940945237874985,
0.01084615383297205,
-0.04221537709236145,
-0.0356895811855793,
0.036745335906744,
-0.0027399298269301653,
-0.06034274026751518,
0.0011768742697313428,
0.09606699645519257,
0.04318225756287575,
0.039909329265356064,
-0.058768924325704575,
-0.012715586461126804,
0.004639551509171724,
-0.060189004987478256,
-0.04059382528066635,
0.0461340956389904,
-0.0253137294203043,
-0.07037002593278885,
-0.07087883353233337,
0.00347902555949986,
0.009929616004228592,
-0.04388062655925751,
0.039246175438165665,
-0.027642302215099335,
-0.04140344262123108,
-0.02934807352721691,
0.051167167723178864,
0.06794549524784088,
-0.08051743358373642,
-0.02310507372021675,
-0.019933851435780525,
0.10705941170454025,
0.01104138232767582,
-0.0635935589671135,
0.12240828573703766,
-0.01328299380838871,
-0.025706946849822998,
-0.027672700583934784,
0.08595076203346252,
-0.05275745689868927,
-4.188614965983106e-8,
-0.07777498662471771,
0.06133501976728439,
0.05072549358010292,
-0.05319231003522873,
0.06582126766443253,
0.0013960635988041759,
-0.014128818176686764,
0.062004562467336655,
-0.06464976072311401,
0.060260362923145294,
0.08362027257680893,
-0.005304987076669931,
-0.025498954579234123,
0.06103430688381195,
0.06224915385246277,
0.05222684517502785,
0.025824330747127533,
-0.015395799651741982,
-0.0399308018386364,
-0.034958191215991974,
0.052930254489183426,
-0.031252484768629074,
-0.06487889587879181,
0.06284260004758835,
0.023087605834007263,
-0.031591612845659256,
-0.1120413988828659,
0.015957700088620186,
0.05910411477088928,
0.07603608816862106,
0.08202558010816574,
0.060472916811704636,
0.009071880020201206,
0.010483010672032833,
0.06865174323320389,
0.06810623407363892,
-0.030334968119859695,
0.024694940075278282,
-0.02261110581457615,
-0.05699971690773964,
0.0051171742379665375,
0.0014827472623437643,
-0.0632861778140068,
0.0234384648501873,
0.06718611717224121,
0.030009470880031586,
0.0006920173764228821,
-0.05277265980839729,
-0.010944008827209473,
-0.03293069824576378,
-0.06320300698280334,
-0.08205478638410568,
-0.042869649827480316,
-0.008886396884918213,
0.02915651910007,
-0.04572071507573128,
-0.007756015285849571,
-0.009041152894496918,
0.08563727885484695,
-0.006894036196172237,
0.027914687991142273,
0.12234331667423248,
0.05757922679185867,
0.087513767182827
] | null | null | null | null | null | null | null |
[
-0.016612527891993523,
0.008383708074688911,
-0.09353353083133698,
-0.05742213875055313,
-0.007465173490345478,
0.03734512999653816,
-0.1003924086689949,
0.09902028739452362,
0.06810850650072098,
0.03353630006313324,
-0.06980468332767487,
-0.014176560565829277,
0.005240537691861391,
0.0423918254673481,
-0.054060958325862885,
-0.0017349508125334978,
0.04713798686861992,
-0.01853116787970066,
0.017180856317281723,
0.0009574893047101796,
0.05586758628487587,
-0.053964000195264816,
-0.022553734481334686,
-0.022174766287207603,
0.004552470985800028,
0.0594661720097065,
0.03395949304103851,
0.04441079869866371,
0.03869934007525444,
0.01667875424027443,
-0.06719970703125,
0.03445384278893471,
0.03649146109819412,
0.06964574009180069,
-0.041804928332567215,
0.02632392756640911,
-0.05648600682616234,
0.03763563930988312,
-0.022649593651294708,
0.013629136607050896,
-0.01614047773182392,
-0.0513426698744297,
-0.03168562799692154,
0.002962082391604781,
0.09399376064538956,
-0.06251519918441772,
-0.09496265649795532,
0.060297444462776184,
-0.03972012177109718,
-0.010700438171625137,
-0.12456078827381134,
-0.016933314502239227,
-0.050211913883686066,
-0.045818060636520386,
0.01840827241539955,
-0.06775294989347458,
-0.04146252200007439,
-0.06649718433618546,
0.043399590998888016,
-0.0111240828409791,
-0.03786558657884598,
0.02462933212518692,
-0.038451291620731354,
0.04127878695726395,
0.08858569711446762,
-0.017274919897317886,
-0.11963843554258347,
0.051731739193201065,
-0.039322175085544586,
0.07589543610811234,
-0.024824993684887886,
0.06067467853426933,
-0.006650667171925306,
0.024675240740180016,
0.017929093912243843,
-0.06724921613931656,
-0.056038741022348404,
-0.02573404274880886,
-0.04534158483147621,
-0.07209287583827972,
-0.04593925178050995,
0.04738030210137367,
-0.04397372156381607,
0.07463797181844711,
-0.05897809937596321,
-0.012312383390963078,
0.007116265129297972,
0.0922454223036766,
0.04072539135813713,
-0.03190826252102852,
-0.006411907263100147,
-0.00021567723888438195,
0.15371496975421906,
-0.04372197389602661,
0.02756611816585064,
0.029459036886692047,
0.1023893728852272,
-0.027074705809354782,
-0.0074799698777496815,
-0.006107644643634558,
-0.02665361762046814,
0.01575390435755253,
0.10259102284908295,
-0.0876195952296257,
0.021632492542266846,
-0.018168848007917404,
0.014073275029659271,
0.037916284054517746,
0.026538794860243797,
-0.10671648383140564,
-0.03243202343583107,
-0.010905914008617401,
-0.07200652360916138,
-0.06646442413330078,
-0.014436813071370125,
-0.08802099525928497,
-0.04060851037502289,
-0.045399852097034454,
0.06081615015864372,
0.024186715483665466,
0.08221211284399033,
0.02764727920293808,
0.037172239273786545,
0.02335386909544468,
0.053061824291944504,
0.024973731487989426,
-0.07314407080411911,
-7.970844440288577e-34,
-0.023563187569379807,
-0.02439647726714611,
0.016002057120203972,
0.10468754917383194,
0.060181908309459686,
0.05155227705836296,
-0.04499497637152672,
-0.007783594541251659,
0.013271628879010677,
0.07007201761007309,
-0.06591221690177917,
0.16377626359462738,
-0.045464541763067245,
0.10147552192211151,
0.07920525968074799,
0.04002358019351959,
-0.031024057418107986,
0.08665695786476135,
-0.10626561939716339,
-0.03365497663617134,
0.04912208393216133,
-0.041421785950660706,
0.03944264352321625,
-0.022463876754045486,
-0.03312629461288452,
0.0463392548263073,
0.012466463260352612,
-0.04560140520334244,
0.01082693412899971,
-0.0016945806564763188,
0.004957355558872223,
-0.02996809035539627,
-0.009789015166461468,
-0.0751534029841423,
0.027102846652269363,
0.030600639060139656,
0.014574702829122543,
-0.03254323452711105,
0.12290843576192856,
-0.005913912318646908,
-0.047167327255010605,
-0.033972449600696564,
-0.001365611213259399,
0.04812820255756378,
0.019461218267679214,
0.016371741890907288,
0.049375779926776886,
0.09232566505670547,
0.012967162765562534,
-0.020001593977212906,
0.053198374807834625,
-0.04804309830069542,
0.021183911710977554,
-0.029934054240584373,
-0.008050925098359585,
-0.017185579985380173,
-0.051141299307346344,
0.006984518375247717,
-0.02074853517115116,
0.10125406831502914,
-0.008386983536183834,
0.044629938900470734,
-0.014410286210477352,
0.041409846395254135,
-0.04816156253218651,
-0.0382433719933033,
-0.040369924157857895,
-0.016613759100437164,
0.09189487993717194,
-0.018568553030490875,
-0.04676445573568344,
-0.014392473734915257,
-0.024449726566672325,
-0.013785488903522491,
0.012124265544116497,
-0.015435525216162205,
0.024248909205198288,
0.009634085930883884,
-0.0019885448273271322,
-0.08962833136320114,
-0.0015165640506893396,
-0.06745165586471558,
-0.01299638394266367,
-0.05413047969341278,
-0.06023641675710678,
0.03924496844410896,
-0.014961805194616318,
-0.04505212604999542,
-0.09880319982767105,
0.012531501241028309,
-0.099138043820858,
-0.005393600091338158,
0.01383603923022747,
0.05232569947838783,
0.08408793807029724,
-3.278303134229661e-33,
-0.133267343044281,
-0.03289836272597313,
-0.07733295112848282,
0.0034369591157883406,
0.045488592237234116,
-0.0013245708541944623,
0.035460229963064194,
-0.04469640552997589,
-0.020997915416955948,
0.00011634186375886202,
0.010053446516394615,
0.0013400549069046974,
-0.0006956991855986416,
0.044801533222198486,
0.01450985949486494,
0.01720931939780712,
-0.00513737415894866,
-0.017149435356259346,
-0.08442322164773941,
-0.07209290564060211,
-0.06158352643251419,
0.03701987490057945,
-0.054518237709999084,
-0.03178149089217186,
0.04117804765701294,
0.056244857609272,
-0.007902564480900764,
-0.07221054285764694,
-0.05224232375621796,
0.06318934261798859,
-0.026013286784291267,
-0.05799681693315506,
-0.03654487431049347,
0.036046627908945084,
0.027117133140563965,
0.08174317330121994,
0.022167058661580086,
-0.03513901308178902,
0.014889894053339958,
0.058315493166446686,
0.006448536645621061,
-0.05220504850149155,
-0.04744446277618408,
-0.021625220775604248,
-0.014796694740653038,
0.024951688945293427,
-0.012992121279239655,
0.04483889043331146,
0.03343360498547554,
-0.024228688329458237,
-0.05165157467126846,
0.036017779260873795,
0.008790167048573494,
-0.05404531955718994,
-0.06940945237874985,
0.01084615383297205,
-0.04221537709236145,
-0.0356895811855793,
0.036745335906744,
-0.0027399298269301653,
-0.06034274026751518,
0.0011768742697313428,
0.09606699645519257,
0.04318225756287575,
0.039909329265356064,
-0.058768924325704575,
-0.012715586461126804,
0.004639551509171724,
-0.060189004987478256,
-0.04059382528066635,
0.0461340956389904,
-0.0253137294203043,
-0.07037002593278885,
-0.07087883353233337,
0.00347902555949986,
0.009929616004228592,
-0.04388062655925751,
0.039246175438165665,
-0.027642302215099335,
-0.04140344262123108,
-0.02934807352721691,
0.051167167723178864,
0.06794549524784088,
-0.08051743358373642,
-0.02310507372021675,
-0.019933851435780525,
0.10705941170454025,
0.01104138232767582,
-0.0635935589671135,
0.12240828573703766,
-0.01328299380838871,
-0.025706946849822998,
-0.027672700583934784,
0.08595076203346252,
-0.05275745689868927,
-4.188614965983106e-8,
-0.07777498662471771,
0.06133501976728439,
0.05072549358010292,
-0.05319231003522873,
0.06582126766443253,
0.0013960635988041759,
-0.014128818176686764,
0.062004562467336655,
-0.06464976072311401,
0.060260362923145294,
0.08362027257680893,
-0.005304987076669931,
-0.025498954579234123,
0.06103430688381195,
0.06224915385246277,
0.05222684517502785,
0.025824330747127533,
-0.015395799651741982,
-0.0399308018386364,
-0.034958191215991974,
0.052930254489183426,
-0.031252484768629074,
-0.06487889587879181,
0.06284260004758835,
0.023087605834007263,
-0.031591612845659256,
-0.1120413988828659,
0.015957700088620186,
0.05910411477088928,
0.07603608816862106,
0.08202558010816574,
0.060472916811704636,
0.009071880020201206,
0.010483010672032833,
0.06865174323320389,
0.06810623407363892,
-0.030334968119859695,
0.024694940075278282,
-0.02261110581457615,
-0.05699971690773964,
0.0051171742379665375,
0.0014827472623437643,
-0.0632861778140068,
0.0234384648501873,
0.06718611717224121,
0.030009470880031586,
0.0006920173764228821,
-0.05277265980839729,
-0.010944008827209473,
-0.03293069824576378,
-0.06320300698280334,
-0.08205478638410568,
-0.042869649827480316,
-0.008886396884918213,
0.02915651910007,
-0.04572071507573128,
-0.007756015285849571,
-0.009041152894496918,
0.08563727885484695,
-0.006894036196172237,
0.027914687991142273,
0.12234331667423248,
0.05757922679185867,
0.087513767182827
] |
1401.7822
|
Francesc Malet Giralt
|
Francesc Malet, Andre Mirtschink, Klaas J. H. Giesbertz, Lucas O.
Wagner, and Paola Gori-Giorgi
|
Exchange-correlation functionals from the strongly-interacting limit of
DFT: Applications to model chemical systems
|
9 pages, 6 figures. Submitted to PCCP's Themed Collection on Density
Functional Theory and its Applications
|
Phys. Chem. Chem. Phys., 2014, 16 (28), 14551 - 14558
|
10.1039/C4CP00407H
| null |
physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study model one-dimensional chemical systems (representative of their
three-dimensional counterparts) using the strictly-correlated electrons (SCE)
functional, which, by construction, becomes asymptotically exact in the limit
of infinite coupling strength. The SCE functional has a highly non-local
dependence on the density and is able to capture strong correlation within
Kohn- Sham theory without introducing any symmetry breaking. Chemical systems,
however, are not close enough to the strong-interaction limit so that, while
ionization energies and the stretched H2 molecule are accurately described,
total energies are in general way too low. A correction based on the exact next
leading order in the expansion at infinite coupling strength of the
Hohenberg-Kohn functional largely improves the results.
|
[
{
"created": "Thu, 30 Jan 2014 12:29:46 GMT",
"version": "v1"
}
] |
2017-09-13
|
[
[
"Malet",
"Francesc",
""
],
[
"Mirtschink",
"Andre",
""
],
[
"Giesbertz",
"Klaas J. H.",
""
],
[
"Wagner",
"Lucas O.",
""
],
[
"Gori-Giorgi",
"Paola",
""
]
] |
[
-0.01495660375803709,
0.00413076626136899,
-0.013955500908195972,
0.03961527720093727,
-0.002400873461738229,
0.03464491665363312,
-0.005105425138026476,
0.017088668420910835,
0.028947798535227776,
-0.04219069331884384,
0.013657686300575733,
0.03128671273589134,
-0.018699752166867256,
0.03855454921722412,
0.07325673848390579,
-0.029760928824543953,
0.027531493455171585,
-0.020549334585666656,
-0.05283351615071297,
0.02609170228242874,
0.024379700422286987,
-0.051201820373535156,
0.00706250686198473,
-0.027861930429935455,
0.0752263069152832,
-0.013920583762228489,
0.06977879256010056,
-0.007854117080569267,
-0.05665481835603714,
-0.024533584713935852,
0.0946831926703453,
-0.023037951439619064,
-0.11224967241287231,
-0.0016657172236591578,
-0.016621874645352364,
0.036339011043310165,
-0.006711956579238176,
0.003143858863040805,
0.03670720010995865,
0.006774151232093573,
0.00955039169639349,
0.12324540317058563,
0.0045440904796123505,
-0.0178409181535244,
-0.014979043044149876,
-0.11783277988433838,
0.06603088974952698,
-0.09284638613462448,
-0.01058105006814003,
-0.07021153718233109,
0.03962188959121704,
0.06465216726064682,
0.03043455071747303,
0.000631665694527328,
-0.012710115872323513,
-0.00827549397945404,
-0.02676297351717949,
0.03910926729440689,
-0.06061701849102974,
-0.011274885386228561,
0.04433523118495941,
-0.010693586431443691,
-0.02342667058110237,
0.021432975307106972,
0.09335118532180786,
-0.060497820377349854,
0.027607448399066925,
-0.05071182921528816,
0.0066871787421405315,
0.06446260213851929,
-0.0706854835152626,
0.011519145220518112,
-0.051235586404800415,
-0.01799260638654232,
0.10554879903793335,
0.0009651745785959065,
-0.018641840666532516,
0.02312774956226349,
0.07100514322519302,
-0.0763433426618576,
-0.044753074645996094,
0.020893020555377007,
0.03725500777363777,
-0.07045047730207443,
0.03649016097187996,
0.08349311351776123,
-0.11604559421539307,
-0.05799376219511032,
-0.044639915227890015,
-0.059451937675476074,
0.06457217037677765,
-0.01797250472009182,
-0.04974919185042381,
0.011090422980487347,
0.027482375502586365,
-0.035885315388441086,
0.1069319099187851,
0.054824039340019226,
-0.01312190294265747,
0.021143922582268715,
0.0882074385881424,
0.06515049189329147,
0.01732558198273182,
-0.023655595257878304,
0.07410962134599686,
-0.027442842721939087,
0.008866273798048496,
0.05995235592126846,
-0.028907179832458496,
0.05408002436161041,
0.02971525490283966,
-0.07940641790628433,
0.06727670133113861,
0.004205348435789347,
-0.08575086295604706,
0.06251340359449387,
0.011979999020695686,
-0.008360837586224079,
0.031018642708659172,
-0.009624895639717579,
0.007008501328527927,
-0.00955030508339405,
-0.06238522380590439,
0.07254766672849655,
-0.0604524165391922,
0.046641167253255844,
-0.07064247876405716,
9.183655226619703e-34,
0.03560127690434456,
-0.008437116630375385,
0.09929124265909195,
0.06964841485023499,
0.03052458167076111,
-0.05669860169291496,
-0.006810054648667574,
-0.05707501620054245,
-0.13586604595184326,
0.0680835172533989,
-0.010364671237766743,
0.08066139370203018,
0.013052334077656269,
-0.005156853701919317,
0.009896359406411648,
0.031808238476514816,
-0.007853839546442032,
0.01943661831319332,
0.058599166572093964,
-0.015097230672836304,
0.009060448966920376,
-0.010249998420476913,
-0.031547825783491135,
0.0844104215502739,
-0.027509847655892372,
-0.033063508570194244,
0.04241224005818367,
0.08235017210245132,
-0.10034015029668808,
0.002986477455124259,
0.01939130201935768,
0.05275159329175949,
-0.032022081315517426,
-0.006905502174049616,
-0.052690573036670685,
-0.08626864105463028,
-0.07765532284975052,
-0.01535416767001152,
0.003856936004012823,
-0.06436888873577118,
0.009181351400911808,
0.030436068773269653,
0.04428311064839363,
-0.01677463762462139,
-0.012993664480745792,
0.04773047938942909,
0.14452217519283295,
-0.0043026539497077465,
-0.002573257777839899,
-0.03436604142189026,
-0.0026458343490958214,
0.007847951725125313,
-0.004637973848730326,
0.10383686423301697,
-0.03036595694720745,
0.0034889657981693745,
0.09025111049413681,
0.009453068487346172,
0.058165065944194794,
0.04825615882873535,
-0.08316879719495773,
0.009903250262141228,
0.00023268420773092657,
0.0010075254831463099,
0.031338147819042206,
0.032504599541425705,
-0.06236560642719269,
-0.05856988579034805,
0.033027417957782745,
0.04787314310669899,
0.029135724529623985,
0.1015542522072792,
0.016425224021077156,
-0.09751532226800919,
0.04153771698474884,
-0.010271342471241951,
-0.09085240960121155,
-0.1638207584619522,
-0.0041441041976213455,
0.013739898800849915,
-0.0014185515465214849,
-0.06914777308702469,
0.017794843763113022,
0.08142946660518646,
-0.0935419574379921,
-0.08866666257381439,
-0.07565610110759735,
-0.049247484654188156,
-0.03390435874462128,
0.04003353789448738,
-0.014740406535565853,
-0.038347452878952026,
0.0630388930439949,
-0.10235089063644409,
-0.00874029565602541,
-3.0463567929773148e-33,
-0.010784031823277473,
-0.038831040263175964,
0.041383277624845505,
-0.09786954522132874,
0.03270154818892479,
0.050463154911994934,
-0.11644101142883301,
0.05649720877408981,
0.006575008388608694,
-0.05527359992265701,
0.14205287396907806,
-0.0027731324080377817,
-0.005461488384753466,
0.029176874086260796,
0.03495877608656883,
-0.003691180841997266,
-0.019502876326441765,
0.03460501506924629,
0.11650606244802475,
0.02746926061809063,
0.06954222917556763,
-0.04631464555859566,
0.007591760251671076,
0.030875222757458687,
0.04849552363157272,
-0.0153279397636652,
-0.02954387292265892,
-0.005901836324483156,
0.08318718522787094,
0.10202760994434357,
-0.010945742018520832,
0.015135884284973145,
-0.012540631927549839,
0.05375590920448303,
-0.07818876206874847,
-0.015462836250662804,
-0.0489761047065258,
0.08150053769350052,
0.02761947549879551,
-0.003884104313328862,
-0.029245097190141678,
-0.06776570528745651,
0.010625803843140602,
0.03377344459295273,
0.14239461719989777,
-0.06124424561858177,
-0.043501660227775574,
-0.03178827464580536,
-0.08869672566652298,
0.034623146057128906,
-0.03117922879755497,
0.021761983633041382,
-0.04541604593396187,
-0.03729601949453354,
-0.04254262149333954,
0.05469585955142975,
-0.02549082227051258,
-0.02535414509475231,
0.09171678125858307,
-0.1290876418352127,
-0.048090364784002304,
-0.028374483808875084,
0.047155048698186874,
0.012255560606718063,
-0.06850244104862213,
-0.007671250496059656,
-0.08989915251731873,
-0.018749529495835304,
0.07698428630828857,
-0.021811505779623985,
-0.026088103652000427,
0.013381590135395527,
0.0326184444129467,
0.024898359552025795,
0.004347233567386866,
-0.05322413891553879,
0.01068276260048151,
-0.10213767737150192,
0.01820525899529457,
0.05213824659585953,
-0.013427387923002243,
0.01962250843644142,
0.045982446521520615,
-0.0746731385588646,
0.05185077711939812,
-0.016220394521951675,
0.007957275956869125,
0.0698423758149147,
-0.007971536368131638,
-0.02340053953230381,
0.0577225536108017,
-0.009851828217506409,
0.01897297240793705,
-0.018677234649658203,
-0.03334919735789299,
-4.592088842514386e-8,
0.03464481979608536,
-0.07233931869268417,
-0.004140355624258518,
0.03548182174563408,
0.005095126572996378,
0.040427789092063904,
0.009715833701193333,
-0.02144339308142662,
0.039396364241838455,
0.031655505299568176,
-0.00020366649550851434,
0.026903465390205383,
-0.0011488383170217276,
-0.01801976189017296,
0.017535539343953133,
-0.017928345128893852,
-0.02654099650681019,
-0.03389853611588478,
-0.05056575685739517,
0.010844258591532707,
-0.04952480271458626,
0.02319643460214138,
-0.03387686610221863,
-0.0019252048805356026,
0.04505174979567528,
-0.016099795699119568,
-0.07749997079372406,
0.006115528754889965,
-0.012165497988462448,
0.02754228189587593,
-0.028075657784938812,
-0.011645002290606499,
0.026241600513458252,
0.12075387686491013,
-0.01304190419614315,
-0.06974125653505325,
-0.0574941523373127,
0.01413684245198965,
-0.08883436769247055,
-0.016338462010025978,
-0.020140698179602623,
-0.031894534826278687,
0.044022370129823685,
0.07662419229745865,
0.048572227358818054,
0.05646568536758423,
0.02480059675872326,
-0.014523341320455074,
0.05741257593035698,
-0.05613866075873375,
-0.04150275141000748,
0.018087830394506454,
-0.047571901232004166,
-0.06405504792928696,
-0.07075532525777817,
0.024832788854837418,
-0.09899035841226578,
0.044215910136699677,
-0.014968550764024258,
-0.009651166386902332,
0.0654936283826828,
-0.020491087809205055,
-0.046071819961071014,
-0.0010488805128261447
] | null | null | null | null | null | null | null |
[
-0.01495660375803709,
0.00413076626136899,
-0.013955500908195972,
0.03961527720093727,
-0.002400873461738229,
0.03464491665363312,
-0.005105425138026476,
0.017088668420910835,
0.028947798535227776,
-0.04219069331884384,
0.013657686300575733,
0.03128671273589134,
-0.018699752166867256,
0.03855454921722412,
0.07325673848390579,
-0.029760928824543953,
0.027531493455171585,
-0.020549334585666656,
-0.05283351615071297,
0.02609170228242874,
0.024379700422286987,
-0.051201820373535156,
0.00706250686198473,
-0.027861930429935455,
0.0752263069152832,
-0.013920583762228489,
0.06977879256010056,
-0.007854117080569267,
-0.05665481835603714,
-0.024533584713935852,
0.0946831926703453,
-0.023037951439619064,
-0.11224967241287231,
-0.0016657172236591578,
-0.016621874645352364,
0.036339011043310165,
-0.006711956579238176,
0.003143858863040805,
0.03670720010995865,
0.006774151232093573,
0.00955039169639349,
0.12324540317058563,
0.0045440904796123505,
-0.0178409181535244,
-0.014979043044149876,
-0.11783277988433838,
0.06603088974952698,
-0.09284638613462448,
-0.01058105006814003,
-0.07021153718233109,
0.03962188959121704,
0.06465216726064682,
0.03043455071747303,
0.000631665694527328,
-0.012710115872323513,
-0.00827549397945404,
-0.02676297351717949,
0.03910926729440689,
-0.06061701849102974,
-0.011274885386228561,
0.04433523118495941,
-0.010693586431443691,
-0.02342667058110237,
0.021432975307106972,
0.09335118532180786,
-0.060497820377349854,
0.027607448399066925,
-0.05071182921528816,
0.0066871787421405315,
0.06446260213851929,
-0.0706854835152626,
0.011519145220518112,
-0.051235586404800415,
-0.01799260638654232,
0.10554879903793335,
0.0009651745785959065,
-0.018641840666532516,
0.02312774956226349,
0.07100514322519302,
-0.0763433426618576,
-0.044753074645996094,
0.020893020555377007,
0.03725500777363777,
-0.07045047730207443,
0.03649016097187996,
0.08349311351776123,
-0.11604559421539307,
-0.05799376219511032,
-0.044639915227890015,
-0.059451937675476074,
0.06457217037677765,
-0.01797250472009182,
-0.04974919185042381,
0.011090422980487347,
0.027482375502586365,
-0.035885315388441086,
0.1069319099187851,
0.054824039340019226,
-0.01312190294265747,
0.021143922582268715,
0.0882074385881424,
0.06515049189329147,
0.01732558198273182,
-0.023655595257878304,
0.07410962134599686,
-0.027442842721939087,
0.008866273798048496,
0.05995235592126846,
-0.028907179832458496,
0.05408002436161041,
0.02971525490283966,
-0.07940641790628433,
0.06727670133113861,
0.004205348435789347,
-0.08575086295604706,
0.06251340359449387,
0.011979999020695686,
-0.008360837586224079,
0.031018642708659172,
-0.009624895639717579,
0.007008501328527927,
-0.00955030508339405,
-0.06238522380590439,
0.07254766672849655,
-0.0604524165391922,
0.046641167253255844,
-0.07064247876405716,
9.183655226619703e-34,
0.03560127690434456,
-0.008437116630375385,
0.09929124265909195,
0.06964841485023499,
0.03052458167076111,
-0.05669860169291496,
-0.006810054648667574,
-0.05707501620054245,
-0.13586604595184326,
0.0680835172533989,
-0.010364671237766743,
0.08066139370203018,
0.013052334077656269,
-0.005156853701919317,
0.009896359406411648,
0.031808238476514816,
-0.007853839546442032,
0.01943661831319332,
0.058599166572093964,
-0.015097230672836304,
0.009060448966920376,
-0.010249998420476913,
-0.031547825783491135,
0.0844104215502739,
-0.027509847655892372,
-0.033063508570194244,
0.04241224005818367,
0.08235017210245132,
-0.10034015029668808,
0.002986477455124259,
0.01939130201935768,
0.05275159329175949,
-0.032022081315517426,
-0.006905502174049616,
-0.052690573036670685,
-0.08626864105463028,
-0.07765532284975052,
-0.01535416767001152,
0.003856936004012823,
-0.06436888873577118,
0.009181351400911808,
0.030436068773269653,
0.04428311064839363,
-0.01677463762462139,
-0.012993664480745792,
0.04773047938942909,
0.14452217519283295,
-0.0043026539497077465,
-0.002573257777839899,
-0.03436604142189026,
-0.0026458343490958214,
0.007847951725125313,
-0.004637973848730326,
0.10383686423301697,
-0.03036595694720745,
0.0034889657981693745,
0.09025111049413681,
0.009453068487346172,
0.058165065944194794,
0.04825615882873535,
-0.08316879719495773,
0.009903250262141228,
0.00023268420773092657,
0.0010075254831463099,
0.031338147819042206,
0.032504599541425705,
-0.06236560642719269,
-0.05856988579034805,
0.033027417957782745,
0.04787314310669899,
0.029135724529623985,
0.1015542522072792,
0.016425224021077156,
-0.09751532226800919,
0.04153771698474884,
-0.010271342471241951,
-0.09085240960121155,
-0.1638207584619522,
-0.0041441041976213455,
0.013739898800849915,
-0.0014185515465214849,
-0.06914777308702469,
0.017794843763113022,
0.08142946660518646,
-0.0935419574379921,
-0.08866666257381439,
-0.07565610110759735,
-0.049247484654188156,
-0.03390435874462128,
0.04003353789448738,
-0.014740406535565853,
-0.038347452878952026,
0.0630388930439949,
-0.10235089063644409,
-0.00874029565602541,
-3.0463567929773148e-33,
-0.010784031823277473,
-0.038831040263175964,
0.041383277624845505,
-0.09786954522132874,
0.03270154818892479,
0.050463154911994934,
-0.11644101142883301,
0.05649720877408981,
0.006575008388608694,
-0.05527359992265701,
0.14205287396907806,
-0.0027731324080377817,
-0.005461488384753466,
0.029176874086260796,
0.03495877608656883,
-0.003691180841997266,
-0.019502876326441765,
0.03460501506924629,
0.11650606244802475,
0.02746926061809063,
0.06954222917556763,
-0.04631464555859566,
0.007591760251671076,
0.030875222757458687,
0.04849552363157272,
-0.0153279397636652,
-0.02954387292265892,
-0.005901836324483156,
0.08318718522787094,
0.10202760994434357,
-0.010945742018520832,
0.015135884284973145,
-0.012540631927549839,
0.05375590920448303,
-0.07818876206874847,
-0.015462836250662804,
-0.0489761047065258,
0.08150053769350052,
0.02761947549879551,
-0.003884104313328862,
-0.029245097190141678,
-0.06776570528745651,
0.010625803843140602,
0.03377344459295273,
0.14239461719989777,
-0.06124424561858177,
-0.043501660227775574,
-0.03178827464580536,
-0.08869672566652298,
0.034623146057128906,
-0.03117922879755497,
0.021761983633041382,
-0.04541604593396187,
-0.03729601949453354,
-0.04254262149333954,
0.05469585955142975,
-0.02549082227051258,
-0.02535414509475231,
0.09171678125858307,
-0.1290876418352127,
-0.048090364784002304,
-0.028374483808875084,
0.047155048698186874,
0.012255560606718063,
-0.06850244104862213,
-0.007671250496059656,
-0.08989915251731873,
-0.018749529495835304,
0.07698428630828857,
-0.021811505779623985,
-0.026088103652000427,
0.013381590135395527,
0.0326184444129467,
0.024898359552025795,
0.004347233567386866,
-0.05322413891553879,
0.01068276260048151,
-0.10213767737150192,
0.01820525899529457,
0.05213824659585953,
-0.013427387923002243,
0.01962250843644142,
0.045982446521520615,
-0.0746731385588646,
0.05185077711939812,
-0.016220394521951675,
0.007957275956869125,
0.0698423758149147,
-0.007971536368131638,
-0.02340053953230381,
0.0577225536108017,
-0.009851828217506409,
0.01897297240793705,
-0.018677234649658203,
-0.03334919735789299,
-4.592088842514386e-8,
0.03464481979608536,
-0.07233931869268417,
-0.004140355624258518,
0.03548182174563408,
0.005095126572996378,
0.040427789092063904,
0.009715833701193333,
-0.02144339308142662,
0.039396364241838455,
0.031655505299568176,
-0.00020366649550851434,
0.026903465390205383,
-0.0011488383170217276,
-0.01801976189017296,
0.017535539343953133,
-0.017928345128893852,
-0.02654099650681019,
-0.03389853611588478,
-0.05056575685739517,
0.010844258591532707,
-0.04952480271458626,
0.02319643460214138,
-0.03387686610221863,
-0.0019252048805356026,
0.04505174979567528,
-0.016099795699119568,
-0.07749997079372406,
0.006115528754889965,
-0.012165497988462448,
0.02754228189587593,
-0.028075657784938812,
-0.011645002290606499,
0.026241600513458252,
0.12075387686491013,
-0.01304190419614315,
-0.06974125653505325,
-0.0574941523373127,
0.01413684245198965,
-0.08883436769247055,
-0.016338462010025978,
-0.020140698179602623,
-0.031894534826278687,
0.044022370129823685,
0.07662419229745865,
0.048572227358818054,
0.05646568536758423,
0.02480059675872326,
-0.014523341320455074,
0.05741257593035698,
-0.05613866075873375,
-0.04150275141000748,
0.018087830394506454,
-0.047571901232004166,
-0.06405504792928696,
-0.07075532525777817,
0.024832788854837418,
-0.09899035841226578,
0.044215910136699677,
-0.014968550764024258,
-0.009651166386902332,
0.0654936283826828,
-0.020491087809205055,
-0.046071819961071014,
-0.0010488805128261447
] |
1401.7826
|
Ali Mansouri mr
|
Ali Mansouri and Mohamed Salim bouhlel
|
The result for the grundy number on p4 classes
|
5 pages
|
International Journal of Next-Generation Networks (IJNGN) Vol.5,
No.4, December 2013
| null | null |
cs.DM math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Our work becomes integrated into the general problem of the stability of the
network ad hoc. Some, works attacked (affected) this problem. Among these
works, we find the modelling of the network ad hoc in the form of a graph. We
can resume the problem of coherence of the network ad hoc of a problem of
allocation of frequency We study a new class of graphs, the fat-extended P4
graphs, and we give a polynomial time algorithm to calculate the Grundy number
of the graphs in this class. This result implies that the Grundy number can be
found in polynomial time for many graphs
|
[
{
"created": "Thu, 30 Jan 2014 12:35:32 GMT",
"version": "v1"
}
] |
2014-06-06
|
[
[
"Mansouri",
"Ali",
""
],
[
"bouhlel",
"Mohamed Salim",
""
]
] |
[
0.04026385396718979,
-0.0023020682856440544,
-0.08212684094905853,
-0.0046748211607337,
0.007235014345496893,
0.006004334427416325,
0.027418343350291252,
-0.03169890120625496,
-0.03415096178650856,
-0.03441496193408966,
0.019322868436574936,
0.0889926478266716,
0.03902208060026169,
-0.03551606833934784,
0.01122229266911745,
0.03121921233832836,
0.02944088540971279,
-0.08173834532499313,
0.022411877289414406,
-0.027636246755719185,
0.023773154243826866,
-0.02839243970811367,
-0.04016576707363129,
-0.029688697308301926,
-0.009984716773033142,
-0.0378069244325161,
-0.025109145790338516,
-0.04237641021609306,
0.018057599663734436,
-0.0046429880894720554,
0.04079963266849518,
0.022243795916438103,
0.0302894189953804,
0.007878405041992664,
0.009014683775603771,
-0.044806964695453644,
0.005506986286491156,
0.09517084807157516,
0.06768437474966049,
0.1610865294933319,
0.05615869164466858,
0.03273644670844078,
0.013950570486485958,
-0.008050385862588882,
-0.005930975545197725,
-0.022552145645022392,
-0.1138889342546463,
0.09451721608638763,
-0.06591442972421646,
-0.0484037883579731,
0.023447386920452118,
-0.029009977355599403,
-0.056079551577568054,
0.020123783499002457,
0.0675043985247612,
-0.07284406572580338,
-0.03543243184685707,
0.023761307820677757,
0.00032846539397723973,
0.043225761502981186,
0.16869093477725983,
-0.016134532168507576,
-0.06049356237053871,
-0.002800530754029751,
0.012627646327018738,
0.043458037078380585,
0.06169910356402397,
-0.014462477527558804,
-0.027232171967625618,
0.139229416847229,
0.03645854815840721,
0.045904114842414856,
-0.10761601477861404,
0.026973910629749298,
0.06079135462641716,
0.08612166345119476,
-0.024371914565563202,
-0.029919780790805817,
0.0036240830086171627,
0.030464336276054382,
0.005160978063941002,
0.013333098031580448,
-0.051857080310583115,
-0.06456336379051208,
0.06437516957521439,
-0.0627833679318428,
-0.05437721312046051,
-0.04326474666595459,
0.025479575619101524,
0.002599086845293641,
-0.12617993354797363,
0.054667163640260696,
0.011364521458745003,
0.06625480949878693,
-0.07328358292579651,
0.07380060851573944,
0.04233993589878082,
0.012058491818606853,
0.01763756386935711,
0.09765302389860153,
-0.05636177211999893,
-0.05357886478304863,
0.020778385922312737,
0.02071077562868595,
0.015298307873308659,
0.0710044801235199,
-0.002327549736946821,
0.03415701910853386,
0.0071390364319086075,
0.012887055054306984,
-0.05532320588827133,
0.02703768014907837,
0.053080327808856964,
0.03696282580494881,
-0.0148042943328619,
-0.009478490799665451,
-0.004725715145468712,
-0.0022986375261098146,
0.020603496581315994,
-0.022385668009519577,
0.03776269778609276,
0.0463007390499115,
0.049028608947992325,
-0.06797987967729568,
0.025912364944815636,
0.021404603496193886,
-0.0077167656272649765,
-1.3415119779033746e-35,
-0.0030473871156573296,
0.05764307826757431,
0.014459355734288692,
-0.01212222594767809,
0.08968248963356018,
-0.03249538317322731,
0.02039649523794651,
-0.06565605103969574,
0.021182561293244362,
-0.02194221504032612,
-0.07476430386304855,
0.04431205615401268,
0.06138039380311966,
0.004200035240501165,
0.05622151121497154,
-0.06682942062616348,
0.07233256846666336,
0.026010267436504364,
0.088199183344841,
-0.04387722536921501,
0.030672350898385048,
-0.06959395110607147,
-0.04184175282716751,
0.023883797228336334,
0.00696611450985074,
0.08317065984010696,
-0.027606306597590446,
-0.023229004815220833,
0.023243369534611702,
0.04208454117178917,
-0.06614448875188828,
0.022921284660696983,
0.026444487273693085,
-0.036851949989795685,
-0.04120370373129845,
-0.06651043146848679,
-0.008062786422669888,
-0.039333149790763855,
-0.017596909776329994,
-0.07172883301973343,
0.0004570193705148995,
-0.007110494188964367,
0.026576105505228043,
-0.08137233555316925,
-0.03066183067858219,
-0.000291164789814502,
-0.03890862688422203,
0.05764501914381981,
-0.08660870045423508,
0.039249736815690994,
-0.022677073255181313,
-0.0718686431646347,
-0.09844310581684113,
0.09582196921110153,
0.021767446771264076,
-0.053949277848005295,
-0.009086239151656628,
0.051559850573539734,
0.02497420273721218,
0.09795142710208893,
0.09389790147542953,
0.010758756659924984,
0.0283663272857666,
-0.04019379988312721,
0.03395908698439598,
0.04775891453027725,
-0.0840689018368721,
-0.0752880796790123,
0.0664142370223999,
0.0066871363669633865,
-0.011080393567681313,
0.039012741297483444,
-0.06229041889309883,
0.014501003548502922,
-0.028542866930365562,
-0.05772118270397186,
-0.030662227421998978,
-0.047699641436338425,
-0.07032294571399689,
0.06003314629197121,
-0.07290691882371902,
-0.04878195747733116,
-0.01852339133620262,
0.02689342200756073,
-0.046952322125434875,
-0.08308924734592438,
-0.015391862951219082,
0.035921644419431686,
0.020611539483070374,
-0.015497193671762943,
-0.035125721246004105,
0.027752019464969635,
0.02788388542830944,
-0.013890570029616356,
0.031638361513614655,
-5.917509734548918e-35,
0.00585306528955698,
0.10016994923353195,
0.00024230605049524456,
0.042029283940792084,
-0.000515481922775507,
0.01787390187382698,
0.006688216235488653,
-0.042100582271814346,
-0.023393431678414345,
0.04124648869037628,
-0.04330793023109436,
-0.08660518378019333,
0.04158598557114601,
0.017939094454050064,
0.05251055583357811,
-0.024816220626235008,
-0.02298418991267681,
-0.04174484312534332,
-0.014458351768553257,
-0.028237102553248405,
0.01442424301058054,
-0.014785385690629482,
-0.08973423391580582,
-0.04359876736998558,
0.11448970437049866,
-0.01277359388768673,
-0.012820792384445667,
-0.05189208686351776,
-0.02656158059835434,
0.07688862830400467,
-0.03950724005699158,
-0.12453020364046097,
-0.053308505564928055,
0.036238525062799454,
0.03909658268094063,
0.045624762773513794,
0.01553563866764307,
0.08460092544555664,
0.035760585218667984,
-0.008272958919405937,
0.00978085771203041,
-0.0023552675265818834,
-0.005384651478379965,
0.07111482322216034,
0.08115729689598083,
0.039439961314201355,
0.026165027171373367,
0.0383007749915123,
-0.04876760393381119,
-0.03458783030509949,
0.022840190678834915,
-0.02121179923415184,
0.03821967914700508,
-0.05654073506593704,
-0.028197091072797775,
0.05460488423705101,
0.0057921200059354305,
0.061911359429359436,
0.014765782281756401,
-0.023426711559295654,
-0.07259969413280487,
-0.08273395895957947,
-0.02497713826596737,
0.09933352470397949,
0.024979297071695328,
0.0030712878797203302,
-0.05078544840216637,
-0.041099339723587036,
-0.059499893337488174,
0.04415622353553772,
0.10005240887403488,
0.036728385835886,
-0.044811684638261795,
0.08631262928247452,
0.021820534020662308,
0.04355273023247719,
-0.017093142494559288,
0.12579017877578735,
-0.021395301446318626,
0.057548120617866516,
-0.13233178853988647,
0.06394533812999725,
-0.0038655658718198538,
-0.029142746701836586,
-0.07028331607580185,
-0.06718199700117111,
0.04959888011217117,
0.021415982395410538,
0.016956143081188202,
0.013720434159040451,
-0.0065015582367777824,
0.07437387853860855,
-0.010197353549301624,
-0.006295806262642145,
0.05642375349998474,
-4.1864637978505925e-8,
-0.07781079411506653,
0.014563648030161858,
-0.025665760040283203,
-0.009167623706161976,
0.05810856074094772,
0.01761808805167675,
0.09182164072990417,
-0.01666649430990219,
0.019329402595758438,
0.017258891835808754,
0.04770542308688164,
0.02926459349691868,
-0.026226257905364037,
0.040425579994916916,
-0.08215489983558655,
0.033966757357120514,
-0.07813218235969543,
-0.063447967171669,
-0.015050308778882027,
-0.06362146139144897,
-0.0899638682603836,
-0.019392505288124084,
-0.023454779759049416,
0.1139829158782959,
-0.00519955437630415,
-0.012074925936758518,
0.010370871983468533,
-0.019070792943239212,
-0.04213933274149895,
0.07218188047409058,
-0.04705923795700073,
0.011853020638227463,
0.0393296554684639,
0.009943502023816109,
0.007440238259732723,
0.074392169713974,
-0.058243535459041595,
0.041654568165540695,
-0.00811066385358572,
0.055961571633815765,
-0.07762239128351212,
0.03159129619598389,
-0.025436637923121452,
-0.04478156939148903,
0.09273555874824524,
0.04657099395990372,
-0.04928155615925789,
-0.02481372281908989,
-0.03265567123889923,
-0.01865595579147339,
-0.10085130482912064,
0.007164196576923132,
-0.02690717950463295,
-0.06572128087282181,
-0.07530449330806732,
0.05960617959499359,
-0.010792860761284828,
-0.1283307820558548,
0.017332838848233223,
-0.06348160654306412,
-0.09967896342277527,
0.09726639091968536,
0.0067561776377260685,
0.005597060080617666
] | null | null | null | null | null | null | null |
[
0.04026385396718979,
-0.0023020682856440544,
-0.08212684094905853,
-0.0046748211607337,
0.007235014345496893,
0.006004334427416325,
0.027418343350291252,
-0.03169890120625496,
-0.03415096178650856,
-0.03441496193408966,
0.019322868436574936,
0.0889926478266716,
0.03902208060026169,
-0.03551606833934784,
0.01122229266911745,
0.03121921233832836,
0.02944088540971279,
-0.08173834532499313,
0.022411877289414406,
-0.027636246755719185,
0.023773154243826866,
-0.02839243970811367,
-0.04016576707363129,
-0.029688697308301926,
-0.009984716773033142,
-0.0378069244325161,
-0.025109145790338516,
-0.04237641021609306,
0.018057599663734436,
-0.0046429880894720554,
0.04079963266849518,
0.022243795916438103,
0.0302894189953804,
0.007878405041992664,
0.009014683775603771,
-0.044806964695453644,
0.005506986286491156,
0.09517084807157516,
0.06768437474966049,
0.1610865294933319,
0.05615869164466858,
0.03273644670844078,
0.013950570486485958,
-0.008050385862588882,
-0.005930975545197725,
-0.022552145645022392,
-0.1138889342546463,
0.09451721608638763,
-0.06591442972421646,
-0.0484037883579731,
0.023447386920452118,
-0.029009977355599403,
-0.056079551577568054,
0.020123783499002457,
0.0675043985247612,
-0.07284406572580338,
-0.03543243184685707,
0.023761307820677757,
0.00032846539397723973,
0.043225761502981186,
0.16869093477725983,
-0.016134532168507576,
-0.06049356237053871,
-0.002800530754029751,
0.012627646327018738,
0.043458037078380585,
0.06169910356402397,
-0.014462477527558804,
-0.027232171967625618,
0.139229416847229,
0.03645854815840721,
0.045904114842414856,
-0.10761601477861404,
0.026973910629749298,
0.06079135462641716,
0.08612166345119476,
-0.024371914565563202,
-0.029919780790805817,
0.0036240830086171627,
0.030464336276054382,
0.005160978063941002,
0.013333098031580448,
-0.051857080310583115,
-0.06456336379051208,
0.06437516957521439,
-0.0627833679318428,
-0.05437721312046051,
-0.04326474666595459,
0.025479575619101524,
0.002599086845293641,
-0.12617993354797363,
0.054667163640260696,
0.011364521458745003,
0.06625480949878693,
-0.07328358292579651,
0.07380060851573944,
0.04233993589878082,
0.012058491818606853,
0.01763756386935711,
0.09765302389860153,
-0.05636177211999893,
-0.05357886478304863,
0.020778385922312737,
0.02071077562868595,
0.015298307873308659,
0.0710044801235199,
-0.002327549736946821,
0.03415701910853386,
0.0071390364319086075,
0.012887055054306984,
-0.05532320588827133,
0.02703768014907837,
0.053080327808856964,
0.03696282580494881,
-0.0148042943328619,
-0.009478490799665451,
-0.004725715145468712,
-0.0022986375261098146,
0.020603496581315994,
-0.022385668009519577,
0.03776269778609276,
0.0463007390499115,
0.049028608947992325,
-0.06797987967729568,
0.025912364944815636,
0.021404603496193886,
-0.0077167656272649765,
-1.3415119779033746e-35,
-0.0030473871156573296,
0.05764307826757431,
0.014459355734288692,
-0.01212222594767809,
0.08968248963356018,
-0.03249538317322731,
0.02039649523794651,
-0.06565605103969574,
0.021182561293244362,
-0.02194221504032612,
-0.07476430386304855,
0.04431205615401268,
0.06138039380311966,
0.004200035240501165,
0.05622151121497154,
-0.06682942062616348,
0.07233256846666336,
0.026010267436504364,
0.088199183344841,
-0.04387722536921501,
0.030672350898385048,
-0.06959395110607147,
-0.04184175282716751,
0.023883797228336334,
0.00696611450985074,
0.08317065984010696,
-0.027606306597590446,
-0.023229004815220833,
0.023243369534611702,
0.04208454117178917,
-0.06614448875188828,
0.022921284660696983,
0.026444487273693085,
-0.036851949989795685,
-0.04120370373129845,
-0.06651043146848679,
-0.008062786422669888,
-0.039333149790763855,
-0.017596909776329994,
-0.07172883301973343,
0.0004570193705148995,
-0.007110494188964367,
0.026576105505228043,
-0.08137233555316925,
-0.03066183067858219,
-0.000291164789814502,
-0.03890862688422203,
0.05764501914381981,
-0.08660870045423508,
0.039249736815690994,
-0.022677073255181313,
-0.0718686431646347,
-0.09844310581684113,
0.09582196921110153,
0.021767446771264076,
-0.053949277848005295,
-0.009086239151656628,
0.051559850573539734,
0.02497420273721218,
0.09795142710208893,
0.09389790147542953,
0.010758756659924984,
0.0283663272857666,
-0.04019379988312721,
0.03395908698439598,
0.04775891453027725,
-0.0840689018368721,
-0.0752880796790123,
0.0664142370223999,
0.0066871363669633865,
-0.011080393567681313,
0.039012741297483444,
-0.06229041889309883,
0.014501003548502922,
-0.028542866930365562,
-0.05772118270397186,
-0.030662227421998978,
-0.047699641436338425,
-0.07032294571399689,
0.06003314629197121,
-0.07290691882371902,
-0.04878195747733116,
-0.01852339133620262,
0.02689342200756073,
-0.046952322125434875,
-0.08308924734592438,
-0.015391862951219082,
0.035921644419431686,
0.020611539483070374,
-0.015497193671762943,
-0.035125721246004105,
0.027752019464969635,
0.02788388542830944,
-0.013890570029616356,
0.031638361513614655,
-5.917509734548918e-35,
0.00585306528955698,
0.10016994923353195,
0.00024230605049524456,
0.042029283940792084,
-0.000515481922775507,
0.01787390187382698,
0.006688216235488653,
-0.042100582271814346,
-0.023393431678414345,
0.04124648869037628,
-0.04330793023109436,
-0.08660518378019333,
0.04158598557114601,
0.017939094454050064,
0.05251055583357811,
-0.024816220626235008,
-0.02298418991267681,
-0.04174484312534332,
-0.014458351768553257,
-0.028237102553248405,
0.01442424301058054,
-0.014785385690629482,
-0.08973423391580582,
-0.04359876736998558,
0.11448970437049866,
-0.01277359388768673,
-0.012820792384445667,
-0.05189208686351776,
-0.02656158059835434,
0.07688862830400467,
-0.03950724005699158,
-0.12453020364046097,
-0.053308505564928055,
0.036238525062799454,
0.03909658268094063,
0.045624762773513794,
0.01553563866764307,
0.08460092544555664,
0.035760585218667984,
-0.008272958919405937,
0.00978085771203041,
-0.0023552675265818834,
-0.005384651478379965,
0.07111482322216034,
0.08115729689598083,
0.039439961314201355,
0.026165027171373367,
0.0383007749915123,
-0.04876760393381119,
-0.03458783030509949,
0.022840190678834915,
-0.02121179923415184,
0.03821967914700508,
-0.05654073506593704,
-0.028197091072797775,
0.05460488423705101,
0.0057921200059354305,
0.061911359429359436,
0.014765782281756401,
-0.023426711559295654,
-0.07259969413280487,
-0.08273395895957947,
-0.02497713826596737,
0.09933352470397949,
0.024979297071695328,
0.0030712878797203302,
-0.05078544840216637,
-0.041099339723587036,
-0.059499893337488174,
0.04415622353553772,
0.10005240887403488,
0.036728385835886,
-0.044811684638261795,
0.08631262928247452,
0.021820534020662308,
0.04355273023247719,
-0.017093142494559288,
0.12579017877578735,
-0.021395301446318626,
0.057548120617866516,
-0.13233178853988647,
0.06394533812999725,
-0.0038655658718198538,
-0.029142746701836586,
-0.07028331607580185,
-0.06718199700117111,
0.04959888011217117,
0.021415982395410538,
0.016956143081188202,
0.013720434159040451,
-0.0065015582367777824,
0.07437387853860855,
-0.010197353549301624,
-0.006295806262642145,
0.05642375349998474,
-4.1864637978505925e-8,
-0.07781079411506653,
0.014563648030161858,
-0.025665760040283203,
-0.009167623706161976,
0.05810856074094772,
0.01761808805167675,
0.09182164072990417,
-0.01666649430990219,
0.019329402595758438,
0.017258891835808754,
0.04770542308688164,
0.02926459349691868,
-0.026226257905364037,
0.040425579994916916,
-0.08215489983558655,
0.033966757357120514,
-0.07813218235969543,
-0.063447967171669,
-0.015050308778882027,
-0.06362146139144897,
-0.0899638682603836,
-0.019392505288124084,
-0.023454779759049416,
0.1139829158782959,
-0.00519955437630415,
-0.012074925936758518,
0.010370871983468533,
-0.019070792943239212,
-0.04213933274149895,
0.07218188047409058,
-0.04705923795700073,
0.011853020638227463,
0.0393296554684639,
0.009943502023816109,
0.007440238259732723,
0.074392169713974,
-0.058243535459041595,
0.041654568165540695,
-0.00811066385358572,
0.055961571633815765,
-0.07762239128351212,
0.03159129619598389,
-0.025436637923121452,
-0.04478156939148903,
0.09273555874824524,
0.04657099395990372,
-0.04928155615925789,
-0.02481372281908989,
-0.03265567123889923,
-0.01865595579147339,
-0.10085130482912064,
0.007164196576923132,
-0.02690717950463295,
-0.06572128087282181,
-0.07530449330806732,
0.05960617959499359,
-0.010792860761284828,
-0.1283307820558548,
0.017332838848233223,
-0.06348160654306412,
-0.09967896342277527,
0.09726639091968536,
0.0067561776377260685,
0.005597060080617666
] |
1401.7828
|
Cristina Flaut
|
Cristina Flaut
|
Codes over a subset of Octonion Integers
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we define codes over some Octonion integers. We prove that in
some conditions these codes can correct up to two errors for a transmitted
vector and the code rate of the codes is grater than the code rate of the codes
defined on some subset of Quaternion integers.
|
[
{
"created": "Thu, 30 Jan 2014 12:38:13 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Flaut",
"Cristina",
""
]
] |
[
-0.060560811311006546,
0.06319206207990646,
-0.09004459530115128,
-0.03428623825311661,
-0.0894683375954628,
0.0037024347111582756,
0.03615693375468254,
-0.04527254402637482,
-0.001723982859402895,
-0.061972618103027344,
0.0866379588842392,
0.04070146754384041,
0.04380546510219574,
-0.06343463808298111,
-0.07971701771020889,
0.00021617018501274288,
-0.07460051774978638,
0.07985786348581314,
-0.021780118346214294,
0.07603094726800919,
-0.034146301448345184,
-0.0485030934214592,
-0.047284018248319626,
0.023614194244146347,
0.050993435084819794,
0.049047574400901794,
-0.00521697336807847,
0.027521658688783646,
0.019352031871676445,
-0.014566764235496521,
0.030072055757045746,
0.06599964946508408,
0.09819656610488892,
0.06117720529437065,
-0.012225939892232418,
0.03976678475737572,
0.012156349606812,
-0.019799500703811646,
-0.025000208988785744,
0.12264060229063034,
-0.00800862442702055,
0.03462965786457062,
0.002871381351724267,
0.04076904058456421,
0.015330147929489613,
0.07212113589048386,
0.05160492658615112,
0.05734540894627571,
-0.14215444028377533,
-0.1159488707780838,
0.008192176930606365,
0.06983909010887146,
-0.015696192160248756,
0.04057794436812401,
-0.011096833273768425,
-0.14518199861049652,
0.0008481526165269315,
-0.004121944308280945,
-0.017496656626462936,
-0.00025290483608841896,
0.046371400356292725,
0.03571880981326103,
0.05419561639428139,
-0.0608338788151741,
-0.017516370862722397,
0.009894817136228085,
-0.06984010338783264,
-0.019701972603797913,
-0.08826923370361328,
0.04778994619846344,
-0.0015141380717977881,
0.0008926146547310054,
-0.037932854145765305,
0.05307995155453682,
0.023928355425596237,
-0.0020770695991814137,
-0.03532565385103226,
-0.003002447308972478,
0.03994417563080788,
-0.04952986538410187,
-0.03431335464119911,
-0.13266466557979584,
-0.024587955325841904,
0.040634118020534515,
0.07137205451726913,
0.0032299556769430637,
0.017198357731103897,
0.0754925087094307,
-0.003732439363375306,
0.022815151140093803,
-0.021273769438266754,
-0.01810021512210369,
0.0656198263168335,
-0.010616067796945572,
0.020462140440940857,
-0.01779738999903202,
0.03192281350493431,
-0.02526608109474182,
0.016444910317659378,
-0.00004195596193312667,
0.05576012656092644,
-0.0998557060956955,
-0.03895367681980133,
0.04972411319613457,
0.0031132595613598824,
0.10017389804124832,
0.08712159842252731,
0.047507062554359436,
-0.0007149559096433222,
-0.023793669417500496,
-0.007145335897803307,
-0.021571587771177292,
-0.024744821712374687,
-0.06027715653181076,
-0.014308523386716843,
0.02860080637037754,
0.02789234183728695,
0.131266251206398,
0.039289046078920364,
0.024085883051156998,
-0.02476588264107704,
-0.013927183113992214,
0.003198627382516861,
-0.00019111337314825505,
0.006050762254744768,
0.02127722278237343,
-0.018773334100842476,
1.2335970162025177e-33,
-0.055736321955919266,
0.09984339773654938,
-0.08365602791309357,
-0.00904944259673357,
-0.04921407625079155,
0.0350172258913517,
-0.02437613531947136,
0.006006921641528606,
0.05279318988323212,
-0.026906007900834084,
-0.063392773270607,
-0.03259817138314247,
0.07317209243774414,
0.03272227570414543,
0.03395462408661842,
0.03832561522722244,
-0.03337244689464569,
-0.07299362123012543,
0.03500087186694145,
-0.04517774656414986,
0.06753268837928772,
-0.11857564747333527,
-0.0757976770401001,
0.018227433785796165,
0.015021833591163158,
0.020904075354337692,
0.02740703523159027,
-0.11981108784675598,
0.035752322524785995,
0.00063483533449471,
-0.02865304797887802,
0.011738484725356102,
0.030972639098763466,
0.0027660962659865618,
0.04279186204075813,
0.03577788546681404,
0.013685661368072033,
0.018089398741722107,
-0.09773310273885727,
-0.00574757345020771,
0.01705833151936531,
-0.06018463522195816,
-0.06232607364654541,
-0.09046216309070587,
0.07378607243299484,
-0.016263283789157867,
0.03414054960012436,
0.031123433262109756,
-0.004753930494189262,
-0.03269767016172409,
-0.0014769891276955605,
-0.0020703664049506187,
-0.09612274169921875,
0.00010658272367436439,
0.07440029829740524,
-0.03157636150717735,
-0.04559953883290291,
0.04408464953303337,
0.006852750200778246,
0.08741242438554764,
0.0043874336406588554,
0.009090716950595379,
0.061128757894039154,
-0.1105949804186821,
-0.047507066279649734,
-0.0275950338691473,
-0.009722250513732433,
-0.04301635921001434,
0.01471842173486948,
0.05358172953128815,
-0.04693228006362915,
0.007121171336621046,
-0.05430905148386955,
0.00750131206586957,
0.0008633196703158319,
0.02326742745935917,
0.012624255381524563,
-0.09376828372478485,
0.01007894054055214,
-0.008083921857178211,
0.0016510167624801397,
-0.040777307003736496,
-0.012956936843693256,
-0.012764655984938145,
-0.02068234607577324,
-0.0408194363117218,
-0.059583939611911774,
-0.04720117524266243,
-0.05163690820336342,
0.05914141982793808,
-0.010749485343694687,
-0.08718778938055038,
0.023116551339626312,
-0.05419230833649635,
0.024287056177854538,
-2.697900227117264e-33,
-0.05880214273929596,
0.03437269851565361,
-0.004405702464282513,
0.035899098962545395,
-0.10113406181335449,
-0.06472156941890717,
0.005230403505265713,
0.041418127715587616,
-0.024044619873166084,
0.029332542791962624,
-0.037160370498895645,
-0.06391514837741852,
0.01862933300435543,
0.04222284257411957,
0.08345446735620499,
-0.012987995520234108,
-0.05912189185619354,
0.06341195106506348,
0.05315415561199188,
0.013136926107108593,
0.04070276394486427,
-0.014919348061084747,
-0.006642814725637436,
0.00970433373004198,
-0.022296683862805367,
0.0746409073472023,
-0.04624995216727257,
0.054830946028232574,
0.07172534614801407,
-0.026004726067185402,
0.0451991967856884,
-0.08899832516908646,
-0.044716667383909225,
0.030123582109808922,
0.050314608961343765,
-0.026284581050276756,
0.05764666944742203,
0.005562635138630867,
-0.011425920762121677,
0.025349415838718414,
-0.018496820703148842,
-0.05121864750981331,
0.04124407097697258,
0.09134247153997421,
0.0320822037756443,
-0.009405751712620258,
0.0371251180768013,
0.04766801372170448,
-0.02376353181898594,
-0.06810911744832993,
0.035109926015138626,
-0.0007759891450405121,
-0.015769928693771362,
0.10424752533435822,
0.008428997360169888,
0.06676022708415985,
-0.07200981676578522,
0.017448078840970993,
0.046040430665016174,
0.05250309035181999,
-0.029720034450292587,
-0.09865669161081314,
0.04843985661864281,
0.004128310363739729,
0.027679171413183212,
-0.05731255188584328,
0.03344866633415222,
0.0814046561717987,
-0.0540899820625782,
0.0029431486036628485,
0.0829959586262703,
-0.08016817271709442,
-0.048297181725502014,
0.011155275627970695,
-0.025936532765626907,
-0.019355926662683487,
0.008461370132863522,
0.05513787642121315,
0.018583040684461594,
0.04179968312382698,
-0.027720239013433456,
0.008197564631700516,
-0.024586280807852745,
0.07200173288583755,
-0.01422769483178854,
-0.032486628741025925,
0.10189453512430191,
-0.05406665429472923,
-0.045707859098911285,
-0.03046405129134655,
-0.030788607895374298,
0.09802641719579697,
0.0649908110499382,
0.02324862964451313,
0.016155363991856575,
-2.9930145473144876e-8,
-0.01270076259970665,
-0.09637555480003357,
-0.05554080754518509,
-0.06559012830257416,
0.08274337649345398,
-0.02766108326613903,
-0.0558789037168026,
0.00023167965991888195,
-0.04433161020278931,
-0.04062515124678612,
0.03897430747747421,
0.03876331076025963,
-0.0597982294857502,
-0.005791055038571358,
0.065323606133461,
0.019145529717206955,
-0.058586448431015015,
-0.08502966910600662,
0.04007495567202568,
0.06113956868648529,
0.015198162756860256,
0.03491773456335068,
0.03174908459186554,
0.023937340825796127,
-0.12280216813087463,
0.0022855426650494337,
0.05241607129573822,
0.012830219231545925,
0.012525816448032856,
0.023771734908223152,
0.07660488039255142,
0.06477134674787521,
0.08987049758434296,
-0.060489073395729065,
-0.0727979987859726,
-0.052714020013809204,
0.004004915710538626,
-0.038531698286533356,
0.017126310616731644,
-0.07243692129850388,
0.014303824864327908,
-0.013079535216093063,
-0.05818710848689079,
-0.03018304891884327,
0.0782114639878273,
-0.03523564711213112,
0.004507535137236118,
-0.06727476418018341,
-0.1338004320859909,
0.025539925321936607,
-0.05983886495232582,
0.06183499097824097,
-0.04443466290831566,
0.060055553913116455,
0.014810272492468357,
-0.05331190675497055,
-0.03847184777259827,
-0.12074313312768936,
0.03782392665743828,
0.050192538648843765,
-0.04742228984832764,
0.1096203550696373,
0.03744130954146385,
-0.0356936939060688
] | null | null | null | null | null | null | null |
[
-0.060560811311006546,
0.06319206207990646,
-0.09004459530115128,
-0.03428623825311661,
-0.0894683375954628,
0.0037024347111582756,
0.03615693375468254,
-0.04527254402637482,
-0.001723982859402895,
-0.061972618103027344,
0.0866379588842392,
0.04070146754384041,
0.04380546510219574,
-0.06343463808298111,
-0.07971701771020889,
0.00021617018501274288,
-0.07460051774978638,
0.07985786348581314,
-0.021780118346214294,
0.07603094726800919,
-0.034146301448345184,
-0.0485030934214592,
-0.047284018248319626,
0.023614194244146347,
0.050993435084819794,
0.049047574400901794,
-0.00521697336807847,
0.027521658688783646,
0.019352031871676445,
-0.014566764235496521,
0.030072055757045746,
0.06599964946508408,
0.09819656610488892,
0.06117720529437065,
-0.012225939892232418,
0.03976678475737572,
0.012156349606812,
-0.019799500703811646,
-0.025000208988785744,
0.12264060229063034,
-0.00800862442702055,
0.03462965786457062,
0.002871381351724267,
0.04076904058456421,
0.015330147929489613,
0.07212113589048386,
0.05160492658615112,
0.05734540894627571,
-0.14215444028377533,
-0.1159488707780838,
0.008192176930606365,
0.06983909010887146,
-0.015696192160248756,
0.04057794436812401,
-0.011096833273768425,
-0.14518199861049652,
0.0008481526165269315,
-0.004121944308280945,
-0.017496656626462936,
-0.00025290483608841896,
0.046371400356292725,
0.03571880981326103,
0.05419561639428139,
-0.0608338788151741,
-0.017516370862722397,
0.009894817136228085,
-0.06984010338783264,
-0.019701972603797913,
-0.08826923370361328,
0.04778994619846344,
-0.0015141380717977881,
0.0008926146547310054,
-0.037932854145765305,
0.05307995155453682,
0.023928355425596237,
-0.0020770695991814137,
-0.03532565385103226,
-0.003002447308972478,
0.03994417563080788,
-0.04952986538410187,
-0.03431335464119911,
-0.13266466557979584,
-0.024587955325841904,
0.040634118020534515,
0.07137205451726913,
0.0032299556769430637,
0.017198357731103897,
0.0754925087094307,
-0.003732439363375306,
0.022815151140093803,
-0.021273769438266754,
-0.01810021512210369,
0.0656198263168335,
-0.010616067796945572,
0.020462140440940857,
-0.01779738999903202,
0.03192281350493431,
-0.02526608109474182,
0.016444910317659378,
-0.00004195596193312667,
0.05576012656092644,
-0.0998557060956955,
-0.03895367681980133,
0.04972411319613457,
0.0031132595613598824,
0.10017389804124832,
0.08712159842252731,
0.047507062554359436,
-0.0007149559096433222,
-0.023793669417500496,
-0.007145335897803307,
-0.021571587771177292,
-0.024744821712374687,
-0.06027715653181076,
-0.014308523386716843,
0.02860080637037754,
0.02789234183728695,
0.131266251206398,
0.039289046078920364,
0.024085883051156998,
-0.02476588264107704,
-0.013927183113992214,
0.003198627382516861,
-0.00019111337314825505,
0.006050762254744768,
0.02127722278237343,
-0.018773334100842476,
1.2335970162025177e-33,
-0.055736321955919266,
0.09984339773654938,
-0.08365602791309357,
-0.00904944259673357,
-0.04921407625079155,
0.0350172258913517,
-0.02437613531947136,
0.006006921641528606,
0.05279318988323212,
-0.026906007900834084,
-0.063392773270607,
-0.03259817138314247,
0.07317209243774414,
0.03272227570414543,
0.03395462408661842,
0.03832561522722244,
-0.03337244689464569,
-0.07299362123012543,
0.03500087186694145,
-0.04517774656414986,
0.06753268837928772,
-0.11857564747333527,
-0.0757976770401001,
0.018227433785796165,
0.015021833591163158,
0.020904075354337692,
0.02740703523159027,
-0.11981108784675598,
0.035752322524785995,
0.00063483533449471,
-0.02865304797887802,
0.011738484725356102,
0.030972639098763466,
0.0027660962659865618,
0.04279186204075813,
0.03577788546681404,
0.013685661368072033,
0.018089398741722107,
-0.09773310273885727,
-0.00574757345020771,
0.01705833151936531,
-0.06018463522195816,
-0.06232607364654541,
-0.09046216309070587,
0.07378607243299484,
-0.016263283789157867,
0.03414054960012436,
0.031123433262109756,
-0.004753930494189262,
-0.03269767016172409,
-0.0014769891276955605,
-0.0020703664049506187,
-0.09612274169921875,
0.00010658272367436439,
0.07440029829740524,
-0.03157636150717735,
-0.04559953883290291,
0.04408464953303337,
0.006852750200778246,
0.08741242438554764,
0.0043874336406588554,
0.009090716950595379,
0.061128757894039154,
-0.1105949804186821,
-0.047507066279649734,
-0.0275950338691473,
-0.009722250513732433,
-0.04301635921001434,
0.01471842173486948,
0.05358172953128815,
-0.04693228006362915,
0.007121171336621046,
-0.05430905148386955,
0.00750131206586957,
0.0008633196703158319,
0.02326742745935917,
0.012624255381524563,
-0.09376828372478485,
0.01007894054055214,
-0.008083921857178211,
0.0016510167624801397,
-0.040777307003736496,
-0.012956936843693256,
-0.012764655984938145,
-0.02068234607577324,
-0.0408194363117218,
-0.059583939611911774,
-0.04720117524266243,
-0.05163690820336342,
0.05914141982793808,
-0.010749485343694687,
-0.08718778938055038,
0.023116551339626312,
-0.05419230833649635,
0.024287056177854538,
-2.697900227117264e-33,
-0.05880214273929596,
0.03437269851565361,
-0.004405702464282513,
0.035899098962545395,
-0.10113406181335449,
-0.06472156941890717,
0.005230403505265713,
0.041418127715587616,
-0.024044619873166084,
0.029332542791962624,
-0.037160370498895645,
-0.06391514837741852,
0.01862933300435543,
0.04222284257411957,
0.08345446735620499,
-0.012987995520234108,
-0.05912189185619354,
0.06341195106506348,
0.05315415561199188,
0.013136926107108593,
0.04070276394486427,
-0.014919348061084747,
-0.006642814725637436,
0.00970433373004198,
-0.022296683862805367,
0.0746409073472023,
-0.04624995216727257,
0.054830946028232574,
0.07172534614801407,
-0.026004726067185402,
0.0451991967856884,
-0.08899832516908646,
-0.044716667383909225,
0.030123582109808922,
0.050314608961343765,
-0.026284581050276756,
0.05764666944742203,
0.005562635138630867,
-0.011425920762121677,
0.025349415838718414,
-0.018496820703148842,
-0.05121864750981331,
0.04124407097697258,
0.09134247153997421,
0.0320822037756443,
-0.009405751712620258,
0.0371251180768013,
0.04766801372170448,
-0.02376353181898594,
-0.06810911744832993,
0.035109926015138626,
-0.0007759891450405121,
-0.015769928693771362,
0.10424752533435822,
0.008428997360169888,
0.06676022708415985,
-0.07200981676578522,
0.017448078840970993,
0.046040430665016174,
0.05250309035181999,
-0.029720034450292587,
-0.09865669161081314,
0.04843985661864281,
0.004128310363739729,
0.027679171413183212,
-0.05731255188584328,
0.03344866633415222,
0.0814046561717987,
-0.0540899820625782,
0.0029431486036628485,
0.0829959586262703,
-0.08016817271709442,
-0.048297181725502014,
0.011155275627970695,
-0.025936532765626907,
-0.019355926662683487,
0.008461370132863522,
0.05513787642121315,
0.018583040684461594,
0.04179968312382698,
-0.027720239013433456,
0.008197564631700516,
-0.024586280807852745,
0.07200173288583755,
-0.01422769483178854,
-0.032486628741025925,
0.10189453512430191,
-0.05406665429472923,
-0.045707859098911285,
-0.03046405129134655,
-0.030788607895374298,
0.09802641719579697,
0.0649908110499382,
0.02324862964451313,
0.016155363991856575,
-2.9930145473144876e-8,
-0.01270076259970665,
-0.09637555480003357,
-0.05554080754518509,
-0.06559012830257416,
0.08274337649345398,
-0.02766108326613903,
-0.0558789037168026,
0.00023167965991888195,
-0.04433161020278931,
-0.04062515124678612,
0.03897430747747421,
0.03876331076025963,
-0.0597982294857502,
-0.005791055038571358,
0.065323606133461,
0.019145529717206955,
-0.058586448431015015,
-0.08502966910600662,
0.04007495567202568,
0.06113956868648529,
0.015198162756860256,
0.03491773456335068,
0.03174908459186554,
0.023937340825796127,
-0.12280216813087463,
0.0022855426650494337,
0.05241607129573822,
0.012830219231545925,
0.012525816448032856,
0.023771734908223152,
0.07660488039255142,
0.06477134674787521,
0.08987049758434296,
-0.060489073395729065,
-0.0727979987859726,
-0.052714020013809204,
0.004004915710538626,
-0.038531698286533356,
0.017126310616731644,
-0.07243692129850388,
0.014303824864327908,
-0.013079535216093063,
-0.05818710848689079,
-0.03018304891884327,
0.0782114639878273,
-0.03523564711213112,
0.004507535137236118,
-0.06727476418018341,
-0.1338004320859909,
0.025539925321936607,
-0.05983886495232582,
0.06183499097824097,
-0.04443466290831566,
0.060055553913116455,
0.014810272492468357,
-0.05331190675497055,
-0.03847184777259827,
-0.12074313312768936,
0.03782392665743828,
0.050192538648843765,
-0.04742228984832764,
0.1096203550696373,
0.03744130954146385,
-0.0356936939060688
] |
1401.7831
|
Garreth Ruane
|
Garreth J. Ruane, Prachyathit Kanburapa, Jiaxuan Han, and Grover A.
Swartzlander Jr
|
Vortex-phase filtering technique for extracting spatial information from
unresolved sources
|
7 pages, 8 figures
|
Appl. Opt. 53, 4503-4508 (2014)
|
10.1364/AO.53.004503
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A white light vortex coronagraph was used to experimentally achieve
sub-resolution detection. The angular location of the centroid, $\gamma$, and
the angular extent of circular pinhole sources, $\Theta$, were measured to
within errors of $\delta\gamma = \pm0.015\,\lambda/D$ and $\delta\Theta =
\pm0.026\,\lambda/D$. This technique has two advantages over conventional
imaging: simple power measurements are made and shorter exposure times may be
required to achieve a sufficient signal-to-noise ratio.
|
[
{
"created": "Thu, 30 Jan 2014 12:52:19 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 2014 14:30:40 GMT",
"version": "v2"
},
{
"created": "Sat, 31 May 2014 20:43:31 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Jul 2014 01:23:10 GMT",
"version": "v4"
}
] |
2014-07-16
|
[
[
"Ruane",
"Garreth J.",
""
],
[
"Kanburapa",
"Prachyathit",
""
],
[
"Han",
"Jiaxuan",
""
],
[
"Swartzlander",
"Grover A.",
"Jr"
]
] |
[
0.01249108836054802,
0.06349150836467743,
0.024607045575976372,
0.02146342396736145,
0.0025286059826612473,
-0.12276066839694977,
-0.08347920328378677,
-0.0006245089462026954,
0.10930755734443665,
-0.05833493173122406,
-0.05730424076318741,
0.031099898740649223,
-0.01069864071905613,
0.018377576023340225,
-0.026837553828954697,
-0.017759138718247414,
0.004972352180629969,
-0.028545357286930084,
0.030662434175610542,
0.006737956311553717,
0.02353682927787304,
-0.06029416620731354,
-0.06947986036539078,
-0.001996259903535247,
0.015471115708351135,
0.03006706014275551,
-0.03762523829936981,
-0.08762261271476746,
0.011859252117574215,
0.07966280728578568,
-0.0032646164763718843,
0.05289866030216217,
-0.042541928589344025,
0.030706215649843216,
0.050956420600414276,
-0.1256878525018692,
0.0757124125957489,
0.007340031210333109,
0.03242526575922966,
0.03462362289428711,
0.05228916183114052,
0.0767640620470047,
0.049993738532066345,
-0.06941065192222595,
0.019929684698581696,
0.11303362250328064,
0.004693737253546715,
0.028461942449212074,
-0.047481562942266464,
-0.011305821128189564,
0.03771773725748062,
-0.06494024395942688,
-0.06710433959960938,
-0.006553157232701778,
0.04587705433368683,
0.08554603904485703,
-0.02377074584364891,
-0.11579782515764236,
0.11389981210231781,
0.024856962263584137,
0.03339483216404915,
0.010621312074363232,
-0.06862598657608032,
0.010638109408318996,
-0.005936093628406525,
0.00044249187340028584,
-0.049425411969423294,
-0.03138957545161247,
0.04930536448955536,
-0.014880003407597542,
0.04910549148917198,
0.08184939622879028,
0.003176093101501465,
-0.016976969316601753,
-0.018520032986998558,
0.03867717087268829,
0.008870439603924751,
-0.019366418942809105,
0.029142385348677635,
-0.05722261592745781,
0.03791201487183571,
0.04801603779196739,
-0.03509670868515968,
0.04657848924398422,
0.06499304622411728,
0.09087105095386505,
0.06284130364656448,
0.02233121544122696,
-0.0513363815844059,
-0.0919957235455513,
-0.03747601434588432,
-0.11611216515302658,
-0.19097614288330078,
-0.05501028522849083,
-0.0033889547921717167,
-0.06012400612235069,
0.10401798039674759,
-0.028067460283637047,
-0.019379310309886932,
0.04085516929626465,
0.05936317890882492,
-0.04894908890128136,
0.009598423726856709,
0.0038030471187084913,
-0.023120008409023285,
0.0584610216319561,
0.08299277722835541,
0.07381827384233475,
0.03295370936393738,
-0.020745329558849335,
0.0617578849196434,
0.04285626485943794,
-0.010025830939412117,
-0.07524073868989944,
0.0821460410952568,
-0.0519365519285202,
-0.05513918772339821,
0.03543169051408768,
-0.07726935297250748,
-0.023800738155841827,
-0.013692699372768402,
-0.05263514444231987,
-0.016391117125749588,
-0.014325873926281929,
0.08862069249153137,
0.03046572580933571,
-0.005794096738100052,
-2.10503542684722e-33,
0.012199345976114273,
0.05904693901538849,
-0.020817315205931664,
0.037476569414138794,
0.007515059318393469,
0.041660480201244354,
0.0051023950800299644,
-0.0024190391413867474,
0.07995333522558212,
0.033924203366041183,
-0.0015483404276892543,
0.022962229326367378,
-0.01490436214953661,
-0.023382341489195824,
0.0462554469704628,
-0.002458022441715002,
0.0639931783080101,
0.050071872770786285,
-0.14630407094955444,
0.03550275042653084,
-0.007863289676606655,
-0.08374999463558197,
0.04144759476184845,
-0.00912344828248024,
0.007010833825916052,
0.02229594625532627,
-0.0027607569936662912,
-0.039655040949583054,
-0.01897195354104042,
0.011980880983173847,
0.016915131360292435,
0.034223441034555435,
0.060358308255672455,
0.05233052745461464,
-0.061205558478832245,
-0.01465532835572958,
0.011619381606578827,
-0.027796819806098938,
-0.058315277099609375,
0.041869308799505234,
0.055958427488803864,
0.07557804137468338,
-0.05512301251292229,
-0.0027643463108688593,
0.04242516681551933,
-0.02791634015738964,
-0.041797392070293427,
0.02443910576403141,
0.03597227483987808,
0.04479466751217842,
-0.040829237550497055,
-0.017169799655675888,
-0.06469599902629852,
-0.06023790314793587,
0.08072146028280258,
0.050123557448387146,
-0.016359182074666023,
-0.13118557631969452,
0.026314375922083855,
-0.03982507064938545,
-0.040793612599372864,
-0.08880781382322311,
-0.08032510429620743,
0.02117578126490116,
-0.02695121429860592,
0.050260867923498154,
-0.060547467321157455,
0.011048074811697006,
-0.05547446385025978,
-0.02251492626965046,
-0.018710698932409286,
-0.019211197271943092,
-0.020322160795331,
-0.001630879589356482,
0.0044118184596300125,
0.05664326995611191,
0.02177652344107628,
0.153343066573143,
0.0032203439623117447,
0.06153953820466995,
-0.08222629129886627,
-0.04519377648830414,
0.048253919929265976,
-0.015622754581272602,
-0.00807096529752016,
0.08477356284856796,
0.0034709221217781305,
-0.03244130685925484,
-0.08104102313518524,
-0.04187214374542236,
-0.008799285627901554,
0.10627084225416183,
0.030337277799844742,
-0.0500950887799263,
-0.06685619801282883,
9.460975466142797e-34,
-0.025307966396212578,
-0.025080904364585876,
-0.01895401068031788,
-0.016907095909118652,
0.015225726179778576,
0.056055858731269836,
0.05998664349317551,
0.002712984336540103,
-0.013851366005837917,
-0.04002675041556358,
-0.03486667573451996,
0.07850783318281174,
-0.07343585789203644,
-0.02046569064259529,
0.022840680554509163,
0.022598732262849808,
-0.003625293495133519,
-0.03614385798573494,
-0.05643799528479576,
0.053163327276706696,
0.052485495805740356,
0.0012215361930429935,
0.04188975319266319,
-0.05346732214093208,
0.04852120950818062,
0.07591729611158371,
0.05993851646780968,
-0.08160773664712906,
0.0010477635078132153,
-0.02112235501408577,
-0.050278760492801666,
0.051700662821531296,
0.04226274788379669,
0.03811289370059967,
0.023429444059729576,
0.005335971247404814,
0.04594609513878822,
-0.018234148621559143,
-0.06291940063238144,
-0.015371300280094147,
-0.04831576347351074,
0.1450076401233673,
-0.043976470828056335,
-0.030851460993289948,
-0.025725677609443665,
-0.024931803345680237,
0.039165664464235306,
0.005893258843570948,
0.028770718723535538,
0.03861568868160248,
-0.03101220354437828,
-0.08538803458213806,
0.03742949292063713,
0.11232295632362366,
-0.018831390887498856,
0.00015128111408557743,
-0.0015802104026079178,
0.028587639331817627,
0.025929637253284454,
-0.009886658750474453,
-0.07471701502799988,
0.0071192774921655655,
-0.06069592013955116,
-0.01827082596719265,
0.016415121033787727,
0.025977779179811478,
0.054141268134117126,
0.046518366783857346,
-0.04114414379000664,
0.033535186201334,
0.026421144604682922,
-0.016065649688243866,
0.024787412956357002,
-0.007519981358200312,
0.061246469616889954,
0.058299124240875244,
-0.029184581711888313,
-0.0315292589366436,
-0.0382588654756546,
0.035700131207704544,
-0.01756555400788784,
-0.03313932940363884,
-0.03541797026991844,
0.030801430344581604,
0.08313159644603729,
-0.026859145611524582,
-0.053816188126802444,
-0.12368526309728622,
-0.025076087564229965,
0.00047633337089791894,
-0.03399189934134483,
0.0014624170726165175,
0.024629393592476845,
-0.12416395545005798,
0.12021352350711823,
-5.120369195310559e-8,
-0.06300026178359985,
0.0344463549554348,
-0.04637223482131958,
-0.047503501176834106,
0.0022545938845723867,
-0.06023626774549484,
-0.015361335128545761,
0.038368381559848785,
0.032764602452516556,
-0.04801363870501518,
0.016013551503419876,
-0.09802215546369553,
-0.008310643024742603,
-0.057128049433231354,
0.013559061102569103,
-0.05035386607050896,
0.007145283278077841,
-0.0946439653635025,
-0.027256492525339127,
0.050372932106256485,
-0.044022273272275925,
0.019854765385389328,
0.0567789264023304,
-0.028861431404948235,
-0.027234017848968506,
0.007284109015017748,
0.03966209664940834,
0.032145991921424866,
-0.024173451587557793,
-0.06123953312635422,
-0.019866634160280228,
0.04151183366775513,
0.0550532266497612,
0.024833815172314644,
0.026825491338968277,
0.04492504522204399,
-0.005726502276957035,
0.09305031597614288,
-0.02796279825270176,
0.03241351246833801,
-0.08523373305797577,
-0.007269212510436773,
0.012292240746319294,
-0.021077057346701622,
0.017351314425468445,
0.046632323414087296,
0.09476755559444427,
-0.00703114178031683,
-0.08623199164867401,
0.019279586151242256,
0.01023346558213234,
0.07216755300760269,
0.021983692422509193,
-0.0834934264421463,
-0.05099838972091675,
0.020806092768907547,
0.0833093672990799,
-0.06402193754911423,
-0.05908738076686859,
-0.013691055588424206,
0.033515870571136475,
0.06117267534136772,
-0.044174984097480774,
-0.018819060176610947
] | null | null | null | null | null | null | null |
[
0.01249108836054802,
0.06349150836467743,
0.024607045575976372,
0.02146342396736145,
0.0025286059826612473,
-0.12276066839694977,
-0.08347920328378677,
-0.0006245089462026954,
0.10930755734443665,
-0.05833493173122406,
-0.05730424076318741,
0.031099898740649223,
-0.01069864071905613,
0.018377576023340225,
-0.026837553828954697,
-0.017759138718247414,
0.004972352180629969,
-0.028545357286930084,
0.030662434175610542,
0.006737956311553717,
0.02353682927787304,
-0.06029416620731354,
-0.06947986036539078,
-0.001996259903535247,
0.015471115708351135,
0.03006706014275551,
-0.03762523829936981,
-0.08762261271476746,
0.011859252117574215,
0.07966280728578568,
-0.0032646164763718843,
0.05289866030216217,
-0.042541928589344025,
0.030706215649843216,
0.050956420600414276,
-0.1256878525018692,
0.0757124125957489,
0.007340031210333109,
0.03242526575922966,
0.03462362289428711,
0.05228916183114052,
0.0767640620470047,
0.049993738532066345,
-0.06941065192222595,
0.019929684698581696,
0.11303362250328064,
0.004693737253546715,
0.028461942449212074,
-0.047481562942266464,
-0.011305821128189564,
0.03771773725748062,
-0.06494024395942688,
-0.06710433959960938,
-0.006553157232701778,
0.04587705433368683,
0.08554603904485703,
-0.02377074584364891,
-0.11579782515764236,
0.11389981210231781,
0.024856962263584137,
0.03339483216404915,
0.010621312074363232,
-0.06862598657608032,
0.010638109408318996,
-0.005936093628406525,
0.00044249187340028584,
-0.049425411969423294,
-0.03138957545161247,
0.04930536448955536,
-0.014880003407597542,
0.04910549148917198,
0.08184939622879028,
0.003176093101501465,
-0.016976969316601753,
-0.018520032986998558,
0.03867717087268829,
0.008870439603924751,
-0.019366418942809105,
0.029142385348677635,
-0.05722261592745781,
0.03791201487183571,
0.04801603779196739,
-0.03509670868515968,
0.04657848924398422,
0.06499304622411728,
0.09087105095386505,
0.06284130364656448,
0.02233121544122696,
-0.0513363815844059,
-0.0919957235455513,
-0.03747601434588432,
-0.11611216515302658,
-0.19097614288330078,
-0.05501028522849083,
-0.0033889547921717167,
-0.06012400612235069,
0.10401798039674759,
-0.028067460283637047,
-0.019379310309886932,
0.04085516929626465,
0.05936317890882492,
-0.04894908890128136,
0.009598423726856709,
0.0038030471187084913,
-0.023120008409023285,
0.0584610216319561,
0.08299277722835541,
0.07381827384233475,
0.03295370936393738,
-0.020745329558849335,
0.0617578849196434,
0.04285626485943794,
-0.010025830939412117,
-0.07524073868989944,
0.0821460410952568,
-0.0519365519285202,
-0.05513918772339821,
0.03543169051408768,
-0.07726935297250748,
-0.023800738155841827,
-0.013692699372768402,
-0.05263514444231987,
-0.016391117125749588,
-0.014325873926281929,
0.08862069249153137,
0.03046572580933571,
-0.005794096738100052,
-2.10503542684722e-33,
0.012199345976114273,
0.05904693901538849,
-0.020817315205931664,
0.037476569414138794,
0.007515059318393469,
0.041660480201244354,
0.0051023950800299644,
-0.0024190391413867474,
0.07995333522558212,
0.033924203366041183,
-0.0015483404276892543,
0.022962229326367378,
-0.01490436214953661,
-0.023382341489195824,
0.0462554469704628,
-0.002458022441715002,
0.0639931783080101,
0.050071872770786285,
-0.14630407094955444,
0.03550275042653084,
-0.007863289676606655,
-0.08374999463558197,
0.04144759476184845,
-0.00912344828248024,
0.007010833825916052,
0.02229594625532627,
-0.0027607569936662912,
-0.039655040949583054,
-0.01897195354104042,
0.011980880983173847,
0.016915131360292435,
0.034223441034555435,
0.060358308255672455,
0.05233052745461464,
-0.061205558478832245,
-0.01465532835572958,
0.011619381606578827,
-0.027796819806098938,
-0.058315277099609375,
0.041869308799505234,
0.055958427488803864,
0.07557804137468338,
-0.05512301251292229,
-0.0027643463108688593,
0.04242516681551933,
-0.02791634015738964,
-0.041797392070293427,
0.02443910576403141,
0.03597227483987808,
0.04479466751217842,
-0.040829237550497055,
-0.017169799655675888,
-0.06469599902629852,
-0.06023790314793587,
0.08072146028280258,
0.050123557448387146,
-0.016359182074666023,
-0.13118557631969452,
0.026314375922083855,
-0.03982507064938545,
-0.040793612599372864,
-0.08880781382322311,
-0.08032510429620743,
0.02117578126490116,
-0.02695121429860592,
0.050260867923498154,
-0.060547467321157455,
0.011048074811697006,
-0.05547446385025978,
-0.02251492626965046,
-0.018710698932409286,
-0.019211197271943092,
-0.020322160795331,
-0.001630879589356482,
0.0044118184596300125,
0.05664326995611191,
0.02177652344107628,
0.153343066573143,
0.0032203439623117447,
0.06153953820466995,
-0.08222629129886627,
-0.04519377648830414,
0.048253919929265976,
-0.015622754581272602,
-0.00807096529752016,
0.08477356284856796,
0.0034709221217781305,
-0.03244130685925484,
-0.08104102313518524,
-0.04187214374542236,
-0.008799285627901554,
0.10627084225416183,
0.030337277799844742,
-0.0500950887799263,
-0.06685619801282883,
9.460975466142797e-34,
-0.025307966396212578,
-0.025080904364585876,
-0.01895401068031788,
-0.016907095909118652,
0.015225726179778576,
0.056055858731269836,
0.05998664349317551,
0.002712984336540103,
-0.013851366005837917,
-0.04002675041556358,
-0.03486667573451996,
0.07850783318281174,
-0.07343585789203644,
-0.02046569064259529,
0.022840680554509163,
0.022598732262849808,
-0.003625293495133519,
-0.03614385798573494,
-0.05643799528479576,
0.053163327276706696,
0.052485495805740356,
0.0012215361930429935,
0.04188975319266319,
-0.05346732214093208,
0.04852120950818062,
0.07591729611158371,
0.05993851646780968,
-0.08160773664712906,
0.0010477635078132153,
-0.02112235501408577,
-0.050278760492801666,
0.051700662821531296,
0.04226274788379669,
0.03811289370059967,
0.023429444059729576,
0.005335971247404814,
0.04594609513878822,
-0.018234148621559143,
-0.06291940063238144,
-0.015371300280094147,
-0.04831576347351074,
0.1450076401233673,
-0.043976470828056335,
-0.030851460993289948,
-0.025725677609443665,
-0.024931803345680237,
0.039165664464235306,
0.005893258843570948,
0.028770718723535538,
0.03861568868160248,
-0.03101220354437828,
-0.08538803458213806,
0.03742949292063713,
0.11232295632362366,
-0.018831390887498856,
0.00015128111408557743,
-0.0015802104026079178,
0.028587639331817627,
0.025929637253284454,
-0.009886658750474453,
-0.07471701502799988,
0.0071192774921655655,
-0.06069592013955116,
-0.01827082596719265,
0.016415121033787727,
0.025977779179811478,
0.054141268134117126,
0.046518366783857346,
-0.04114414379000664,
0.033535186201334,
0.026421144604682922,
-0.016065649688243866,
0.024787412956357002,
-0.007519981358200312,
0.061246469616889954,
0.058299124240875244,
-0.029184581711888313,
-0.0315292589366436,
-0.0382588654756546,
0.035700131207704544,
-0.01756555400788784,
-0.03313932940363884,
-0.03541797026991844,
0.030801430344581604,
0.08313159644603729,
-0.026859145611524582,
-0.053816188126802444,
-0.12368526309728622,
-0.025076087564229965,
0.00047633337089791894,
-0.03399189934134483,
0.0014624170726165175,
0.024629393592476845,
-0.12416395545005798,
0.12021352350711823,
-5.120369195310559e-8,
-0.06300026178359985,
0.0344463549554348,
-0.04637223482131958,
-0.047503501176834106,
0.0022545938845723867,
-0.06023626774549484,
-0.015361335128545761,
0.038368381559848785,
0.032764602452516556,
-0.04801363870501518,
0.016013551503419876,
-0.09802215546369553,
-0.008310643024742603,
-0.057128049433231354,
0.013559061102569103,
-0.05035386607050896,
0.007145283278077841,
-0.0946439653635025,
-0.027256492525339127,
0.050372932106256485,
-0.044022273272275925,
0.019854765385389328,
0.0567789264023304,
-0.028861431404948235,
-0.027234017848968506,
0.007284109015017748,
0.03966209664940834,
0.032145991921424866,
-0.024173451587557793,
-0.06123953312635422,
-0.019866634160280228,
0.04151183366775513,
0.0550532266497612,
0.024833815172314644,
0.026825491338968277,
0.04492504522204399,
-0.005726502276957035,
0.09305031597614288,
-0.02796279825270176,
0.03241351246833801,
-0.08523373305797577,
-0.007269212510436773,
0.012292240746319294,
-0.021077057346701622,
0.017351314425468445,
0.046632323414087296,
0.09476755559444427,
-0.00703114178031683,
-0.08623199164867401,
0.019279586151242256,
0.01023346558213234,
0.07216755300760269,
0.021983692422509193,
-0.0834934264421463,
-0.05099838972091675,
0.020806092768907547,
0.0833093672990799,
-0.06402193754911423,
-0.05908738076686859,
-0.013691055588424206,
0.033515870571136475,
0.06117267534136772,
-0.044174984097480774,
-0.018819060176610947
] |
1401.7837
|
Andrea Andrisani
|
Antonio Dumas, Andrea Andrisani, Maurizio Bonnici, Mauro Madonia,
Michele Trancossi
|
A new correlation between solar energy radiation and some atmospheric
parameters
|
23 pages, 3 figures, 4 tables
| null | null | null |
physics.ao-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The energy balance for an atmospheric layer near the soil is evaluated. By
integrating it over the whole day period a linear relationship between the
global daily solar radiation incident on a horizontal surface and the product
of the sunshine hours at clear sky with the maximum temperature variation in
the day is achieved. The results show a comparable accuracy with some well
recognized solar energy models such as the \ang-Prescott one, at least for
Mediterranean climatic area. Validation of the result has been performed using
old dataset which are almost contemporary and relative to the same sites with
the ones used for comparison.
|
[
{
"created": "Thu, 30 Jan 2014 13:27:50 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Dumas",
"Antonio",
""
],
[
"Andrisani",
"Andrea",
""
],
[
"Bonnici",
"Maurizio",
""
],
[
"Madonia",
"Mauro",
""
],
[
"Trancossi",
"Michele",
""
]
] |
[
-0.02457624301314354,
0.08379550278186798,
0.07931915670633316,
-0.0009484433103352785,
0.021964361891150475,
-0.08126025646924973,
0.03640643134713173,
-0.01708902418613434,
0.029850592836737633,
-0.01202689204365015,
-0.008685997687280178,
-0.06021026521921158,
0.03252945467829704,
0.019757047295570374,
0.07411211729049683,
0.0015570023097097874,
-0.03626561909914017,
0.05657724663615227,
-0.04449640214443207,
-0.050092533230781555,
-0.021785426884889603,
0.06142306327819824,
-0.05097656324505806,
-0.005245828069746494,
0.0232111643999815,
0.010518478229641914,
-0.08432789891958237,
0.06505927443504333,
-0.008797215297818184,
0.050045743584632874,
-0.01118205115199089,
0.07195382565259933,
0.008232653141021729,
0.0452096126973629,
-0.035362087190151215,
0.04540377855300903,
-0.07237640768289566,
-0.05096079781651497,
-0.04660458490252495,
0.07253590226173401,
-0.08595573157072067,
-0.06818755716085434,
0.05510283261537552,
0.05303870886564255,
-0.09463638067245483,
-0.042660653591156006,
0.0006653908640146255,
-0.005565868690609932,
0.0361282043159008,
0.0494115836918354,
0.058781713247299194,
0.05346866324543953,
-0.052110303193330765,
0.08208371698856354,
-0.11162850260734558,
0.04322723299264908,
0.050296179950237274,
-0.006226178724318743,
0.0013929266715422273,
0.018582304939627647,
-0.028347807005047798,
-0.041428204625844955,
-0.08545249700546265,
0.01532476581633091,
0.08266855776309967,
-0.04117971658706665,
-0.06588640064001083,
0.02061358653008938,
-0.08198629319667816,
-0.05205225571990013,
-0.08040206879377365,
0.005505310837179422,
-0.07731073349714279,
-0.09114805608987808,
-0.04478735476732254,
0.039107806980609894,
0.0053642927668988705,
0.011949150823056698,
0.07502759993076324,
-0.09584008902311325,
0.04228454455733299,
0.044424522668123245,
-0.05994511395692825,
0.03623044118285179,
0.030358877032995224,
-0.006932433694601059,
-0.013908741995692253,
0.1357293725013733,
0.10180148482322693,
0.013739893212914467,
-0.0028811991214752197,
0.04380224645137787,
-0.017932146787643433,
0.037229735404253006,
-0.02788863703608513,
0.09682372212409973,
0.013797352090477943,
-0.07066488265991211,
-0.07084531337022781,
0.025934938341379166,
-0.01090959645807743,
0.020966604351997375,
-0.056414391845464706,
0.022954337298870087,
0.05015193670988083,
0.02515745721757412,
-0.016316557303071022,
-0.046254951506853104,
-0.017526887357234955,
-0.07537420839071274,
-0.12281978130340576,
0.009003627113997936,
-0.006772160064429045,
-0.02179799973964691,
0.05973907560110092,
0.026984864845871925,
0.11790774762630463,
-0.006155439652502537,
-0.11667965352535248,
-0.07220899313688278,
-0.022367561236023903,
0.015496957115828991,
0.08118186146020889,
0.07147248834371567,
0.031394582241773605,
0.009979850612580776,
0.05371638014912605,
-3.169218636005795e-34,
-0.024139320477843285,
0.019471295177936554,
0.028492474928498268,
-0.03204189985990524,
-0.03157709166407585,
-0.018213998526334763,
-0.037879347801208496,
0.05557488277554512,
-0.06320848315954208,
-0.07675053924322128,
-0.032051824033260345,
0.007669711485505104,
0.02527393214404583,
0.04102544113993645,
0.006790007930248976,
0.0334516242146492,
0.060432035475969315,
0.03427569940686226,
0.013371411710977554,
0.0372750498354435,
-0.07338255643844604,
-0.01744653470814228,
0.08361418545246124,
0.028954174369573593,
0.04098193719983101,
-0.039654191583395004,
0.05208918824791908,
0.05054611712694168,
-0.013571703806519508,
0.0168882068246603,
0.08545039594173431,
-0.08450058102607727,
-0.005758736282587051,
-0.004445725120604038,
0.03241896256804466,
-0.017392322421073914,
0.0042060730047523975,
0.06550904363393784,
0.03921431675553322,
0.030781371518969536,
-0.03377491980791092,
0.0570296049118042,
0.10178986936807632,
-0.011500331573188305,
-0.0068136719055473804,
0.014998785220086575,
0.0524529293179512,
-0.03539717569947243,
0.0002345814136788249,
0.08054276555776596,
-0.056113101541996,
0.028964553028345108,
-0.027895450592041016,
-0.04309970885515213,
0.009434280917048454,
0.07898850739002228,
-0.037535324692726135,
0.03717087581753731,
-0.07807033509016037,
0.008955906145274639,
-0.008985021151602268,
-0.02412295527756214,
0.017374929040670395,
-0.04443861171603203,
0.03444019332528114,
0.0700090229511261,
0.014531769789755344,
0.0496009960770607,
-0.07733727246522903,
0.024996690452098846,
0.034892488270998,
-0.04156607389450073,
0.03329647704958916,
0.06488200277090073,
0.021150270476937294,
0.009996610693633556,
0.029262887313961983,
-0.0007077373447827995,
-0.057088933885097504,
0.05951783061027527,
-0.019837990403175354,
0.0766041949391365,
0.0705406591296196,
-0.12392418831586838,
-0.08903621882200241,
-0.08632539957761765,
0.026219569146633148,
0.06554446369409561,
-0.007858778350055218,
0.001924659707583487,
0.0003413699159864336,
-0.015772970393300056,
0.05644777789711952,
-0.025488460436463356,
-0.0053979745134711266,
-1.1145016223779653e-33,
-0.008789042942225933,
0.0802469402551651,
-0.09053590148687363,
-0.0068569667637348175,
-0.03630559518933296,
-0.03308742120862007,
-0.05796134099364281,
-0.004928452894091606,
-0.11363641172647476,
0.08385584503412247,
0.017903661355376244,
0.061732418835163116,
-0.060228411108255386,
-0.10108932852745056,
0.021025558933615685,
0.007953518070280552,
-0.03858107328414917,
0.0327383428812027,
-0.05862171947956085,
0.05903838947415352,
-0.03485085070133209,
-0.018058445304632187,
0.003910016734153032,
-0.03409033268690109,
-0.02052287571132183,
-0.032357119023799896,
0.0468510277569294,
-0.012416759505867958,
-0.0019143562531098723,
0.0015624476363882422,
-0.07252421975135803,
0.003367724595591426,
-0.03935033828020096,
0.004623281769454479,
-0.002993060275912285,
0.01842312701046467,
0.026876484975218773,
-0.07743367552757263,
0.041239649057388306,
0.05767254903912544,
0.021579094231128693,
-0.043365076184272766,
0.0314808264374733,
-0.10608498752117157,
-0.051850371062755585,
-0.01648857444524765,
-0.061214204877614975,
0.08917177468538284,
0.012622221373021603,
-0.051105476915836334,
0.035848937928676605,
-0.0013127425918355584,
-0.09360805153846741,
0.037498876452445984,
0.07329685986042023,
-0.014822923578321934,
0.022103173658251762,
0.08786167949438095,
-0.11654247343540192,
-0.07310623675584793,
0.019331201910972595,
-0.062067966908216476,
0.0024398525711148977,
-0.020897183567285538,
-0.03922984376549721,
0.0025415862910449505,
-0.03029603511095047,
0.010616146959364414,
-0.01640167273581028,
0.06346455216407776,
-0.007909883745014668,
-0.06486016511917114,
-0.008817271329462528,
0.04189799726009369,
-0.022809218615293503,
0.06508021056652069,
0.07534610480070114,
0.000653922266792506,
-0.02012539654970169,
0.03745124861598015,
-0.11405542492866516,
-0.04034567251801491,
0.03181730955839157,
-0.025908786803483963,
0.007978755980730057,
-0.09446027129888535,
-0.00596867548301816,
-0.1009272038936615,
-0.03638850897550583,
0.08318604528903961,
-0.05301410332322121,
0.0007184124551713467,
0.0004028398834634572,
0.06550838053226471,
-0.0008843569085001945,
-4.572115841483537e-8,
0.014483505859971046,
-0.046428438276052475,
0.10294584184885025,
-0.0194142647087574,
-0.07155146449804306,
0.003822453087195754,
0.04437151178717613,
-0.04547543078660965,
-0.020349249243736267,
0.07444046437740326,
0.05154205858707428,
0.020828571170568466,
0.08353815972805023,
0.002640495076775551,
-0.11925865709781647,
-0.03449356555938721,
0.03748498111963272,
-0.0047119176015257835,
0.012366482987999916,
-0.040072426199913025,
0.035279080271720886,
0.02245991677045822,
-0.06837742775678635,
0.011322623118758202,
0.07767908275127411,
0.011362394317984581,
-0.012206228449940681,
0.06431818008422852,
0.0029897834174335003,
0.013901730999350548,
0.07381889224052429,
-0.03306303545832634,
0.04042777419090271,
-0.13306289911270142,
-0.010773350484669209,
0.03805588558316231,
-0.031947556883096695,
0.015239588916301727,
0.04478703439235687,
0.08796851336956024,
0.017580529674887657,
0.023303426802158356,
-0.027727389708161354,
0.00508078932762146,
0.10439074039459229,
0.06534797698259354,
0.01745682954788208,
-0.020820772275328636,
0.0024982010945677757,
0.061455145478248596,
0.042603444308042526,
0.01860499009490013,
0.004923008847981691,
-0.016343144699931145,
0.022488581016659737,
-0.021002892404794693,
-0.03552955761551857,
-0.03943092003464699,
0.024018581956624985,
0.014752089977264404,
-0.015425402671098709,
0.02491472102701664,
-0.1469833105802536,
-0.02503780648112297
] | null | null | null | null | null | null | null |
[
-0.02457624301314354,
0.08379550278186798,
0.07931915670633316,
-0.0009484433103352785,
0.021964361891150475,
-0.08126025646924973,
0.03640643134713173,
-0.01708902418613434,
0.029850592836737633,
-0.01202689204365015,
-0.008685997687280178,
-0.06021026521921158,
0.03252945467829704,
0.019757047295570374,
0.07411211729049683,
0.0015570023097097874,
-0.03626561909914017,
0.05657724663615227,
-0.04449640214443207,
-0.050092533230781555,
-0.021785426884889603,
0.06142306327819824,
-0.05097656324505806,
-0.005245828069746494,
0.0232111643999815,
0.010518478229641914,
-0.08432789891958237,
0.06505927443504333,
-0.008797215297818184,
0.050045743584632874,
-0.01118205115199089,
0.07195382565259933,
0.008232653141021729,
0.0452096126973629,
-0.035362087190151215,
0.04540377855300903,
-0.07237640768289566,
-0.05096079781651497,
-0.04660458490252495,
0.07253590226173401,
-0.08595573157072067,
-0.06818755716085434,
0.05510283261537552,
0.05303870886564255,
-0.09463638067245483,
-0.042660653591156006,
0.0006653908640146255,
-0.005565868690609932,
0.0361282043159008,
0.0494115836918354,
0.058781713247299194,
0.05346866324543953,
-0.052110303193330765,
0.08208371698856354,
-0.11162850260734558,
0.04322723299264908,
0.050296179950237274,
-0.006226178724318743,
0.0013929266715422273,
0.018582304939627647,
-0.028347807005047798,
-0.041428204625844955,
-0.08545249700546265,
0.01532476581633091,
0.08266855776309967,
-0.04117971658706665,
-0.06588640064001083,
0.02061358653008938,
-0.08198629319667816,
-0.05205225571990013,
-0.08040206879377365,
0.005505310837179422,
-0.07731073349714279,
-0.09114805608987808,
-0.04478735476732254,
0.039107806980609894,
0.0053642927668988705,
0.011949150823056698,
0.07502759993076324,
-0.09584008902311325,
0.04228454455733299,
0.044424522668123245,
-0.05994511395692825,
0.03623044118285179,
0.030358877032995224,
-0.006932433694601059,
-0.013908741995692253,
0.1357293725013733,
0.10180148482322693,
0.013739893212914467,
-0.0028811991214752197,
0.04380224645137787,
-0.017932146787643433,
0.037229735404253006,
-0.02788863703608513,
0.09682372212409973,
0.013797352090477943,
-0.07066488265991211,
-0.07084531337022781,
0.025934938341379166,
-0.01090959645807743,
0.020966604351997375,
-0.056414391845464706,
0.022954337298870087,
0.05015193670988083,
0.02515745721757412,
-0.016316557303071022,
-0.046254951506853104,
-0.017526887357234955,
-0.07537420839071274,
-0.12281978130340576,
0.009003627113997936,
-0.006772160064429045,
-0.02179799973964691,
0.05973907560110092,
0.026984864845871925,
0.11790774762630463,
-0.006155439652502537,
-0.11667965352535248,
-0.07220899313688278,
-0.022367561236023903,
0.015496957115828991,
0.08118186146020889,
0.07147248834371567,
0.031394582241773605,
0.009979850612580776,
0.05371638014912605,
-3.169218636005795e-34,
-0.024139320477843285,
0.019471295177936554,
0.028492474928498268,
-0.03204189985990524,
-0.03157709166407585,
-0.018213998526334763,
-0.037879347801208496,
0.05557488277554512,
-0.06320848315954208,
-0.07675053924322128,
-0.032051824033260345,
0.007669711485505104,
0.02527393214404583,
0.04102544113993645,
0.006790007930248976,
0.0334516242146492,
0.060432035475969315,
0.03427569940686226,
0.013371411710977554,
0.0372750498354435,
-0.07338255643844604,
-0.01744653470814228,
0.08361418545246124,
0.028954174369573593,
0.04098193719983101,
-0.039654191583395004,
0.05208918824791908,
0.05054611712694168,
-0.013571703806519508,
0.0168882068246603,
0.08545039594173431,
-0.08450058102607727,
-0.005758736282587051,
-0.004445725120604038,
0.03241896256804466,
-0.017392322421073914,
0.0042060730047523975,
0.06550904363393784,
0.03921431675553322,
0.030781371518969536,
-0.03377491980791092,
0.0570296049118042,
0.10178986936807632,
-0.011500331573188305,
-0.0068136719055473804,
0.014998785220086575,
0.0524529293179512,
-0.03539717569947243,
0.0002345814136788249,
0.08054276555776596,
-0.056113101541996,
0.028964553028345108,
-0.027895450592041016,
-0.04309970885515213,
0.009434280917048454,
0.07898850739002228,
-0.037535324692726135,
0.03717087581753731,
-0.07807033509016037,
0.008955906145274639,
-0.008985021151602268,
-0.02412295527756214,
0.017374929040670395,
-0.04443861171603203,
0.03444019332528114,
0.0700090229511261,
0.014531769789755344,
0.0496009960770607,
-0.07733727246522903,
0.024996690452098846,
0.034892488270998,
-0.04156607389450073,
0.03329647704958916,
0.06488200277090073,
0.021150270476937294,
0.009996610693633556,
0.029262887313961983,
-0.0007077373447827995,
-0.057088933885097504,
0.05951783061027527,
-0.019837990403175354,
0.0766041949391365,
0.0705406591296196,
-0.12392418831586838,
-0.08903621882200241,
-0.08632539957761765,
0.026219569146633148,
0.06554446369409561,
-0.007858778350055218,
0.001924659707583487,
0.0003413699159864336,
-0.015772970393300056,
0.05644777789711952,
-0.025488460436463356,
-0.0053979745134711266,
-1.1145016223779653e-33,
-0.008789042942225933,
0.0802469402551651,
-0.09053590148687363,
-0.0068569667637348175,
-0.03630559518933296,
-0.03308742120862007,
-0.05796134099364281,
-0.004928452894091606,
-0.11363641172647476,
0.08385584503412247,
0.017903661355376244,
0.061732418835163116,
-0.060228411108255386,
-0.10108932852745056,
0.021025558933615685,
0.007953518070280552,
-0.03858107328414917,
0.0327383428812027,
-0.05862171947956085,
0.05903838947415352,
-0.03485085070133209,
-0.018058445304632187,
0.003910016734153032,
-0.03409033268690109,
-0.02052287571132183,
-0.032357119023799896,
0.0468510277569294,
-0.012416759505867958,
-0.0019143562531098723,
0.0015624476363882422,
-0.07252421975135803,
0.003367724595591426,
-0.03935033828020096,
0.004623281769454479,
-0.002993060275912285,
0.01842312701046467,
0.026876484975218773,
-0.07743367552757263,
0.041239649057388306,
0.05767254903912544,
0.021579094231128693,
-0.043365076184272766,
0.0314808264374733,
-0.10608498752117157,
-0.051850371062755585,
-0.01648857444524765,
-0.061214204877614975,
0.08917177468538284,
0.012622221373021603,
-0.051105476915836334,
0.035848937928676605,
-0.0013127425918355584,
-0.09360805153846741,
0.037498876452445984,
0.07329685986042023,
-0.014822923578321934,
0.022103173658251762,
0.08786167949438095,
-0.11654247343540192,
-0.07310623675584793,
0.019331201910972595,
-0.062067966908216476,
0.0024398525711148977,
-0.020897183567285538,
-0.03922984376549721,
0.0025415862910449505,
-0.03029603511095047,
0.010616146959364414,
-0.01640167273581028,
0.06346455216407776,
-0.007909883745014668,
-0.06486016511917114,
-0.008817271329462528,
0.04189799726009369,
-0.022809218615293503,
0.06508021056652069,
0.07534610480070114,
0.000653922266792506,
-0.02012539654970169,
0.03745124861598015,
-0.11405542492866516,
-0.04034567251801491,
0.03181730955839157,
-0.025908786803483963,
0.007978755980730057,
-0.09446027129888535,
-0.00596867548301816,
-0.1009272038936615,
-0.03638850897550583,
0.08318604528903961,
-0.05301410332322121,
0.0007184124551713467,
0.0004028398834634572,
0.06550838053226471,
-0.0008843569085001945,
-4.572115841483537e-8,
0.014483505859971046,
-0.046428438276052475,
0.10294584184885025,
-0.0194142647087574,
-0.07155146449804306,
0.003822453087195754,
0.04437151178717613,
-0.04547543078660965,
-0.020349249243736267,
0.07444046437740326,
0.05154205858707428,
0.020828571170568466,
0.08353815972805023,
0.002640495076775551,
-0.11925865709781647,
-0.03449356555938721,
0.03748498111963272,
-0.0047119176015257835,
0.012366482987999916,
-0.040072426199913025,
0.035279080271720886,
0.02245991677045822,
-0.06837742775678635,
0.011322623118758202,
0.07767908275127411,
0.011362394317984581,
-0.012206228449940681,
0.06431818008422852,
0.0029897834174335003,
0.013901730999350548,
0.07381889224052429,
-0.03306303545832634,
0.04042777419090271,
-0.13306289911270142,
-0.010773350484669209,
0.03805588558316231,
-0.031947556883096695,
0.015239588916301727,
0.04478703439235687,
0.08796851336956024,
0.017580529674887657,
0.023303426802158356,
-0.027727389708161354,
0.00508078932762146,
0.10439074039459229,
0.06534797698259354,
0.01745682954788208,
-0.020820772275328636,
0.0024982010945677757,
0.061455145478248596,
0.042603444308042526,
0.01860499009490013,
0.004923008847981691,
-0.016343144699931145,
0.022488581016659737,
-0.021002892404794693,
-0.03552955761551857,
-0.03943092003464699,
0.024018581956624985,
0.014752089977264404,
-0.015425402671098709,
0.02491472102701664,
-0.1469833105802536,
-0.02503780648112297
] |
1401.7838
|
Isabella von Sivers
|
Isabella von Sivers and Gerta K\"oster
|
Dynamic Stride Length Adaptation According to Utility And Personal Space
|
Authors version, 30 Pages, accepted for publication in Transportation
Research Part B: Methodological. Changes resulting from the publishing
process, such as peer review, editing, corrections, structural formatting,
and other quality control mechanisms may not be reflected in this document
|
Transportation Research Part B: Methodological, 2015, Vol. 74,
pages 104 - 117
|
10.1016/j.trb.2015.01.009
| null |
physics.soc-ph cs.MA math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Pedestrians adjust both speed and stride length when they navigate difficult
situations such as tight corners or dense crowds. They try to avoid collisions
and to preserve their personal space. State-of-the-art pedestrian motion models
automatically reduce speed in dense crowds simply because there is no space
where the pedestrians could go. The stride length and its correct adaptation,
however, are rarely considered. This leads to artefacts that impact macroscopic
observation parameters such as densities in front of bottlenecks and, through
this, flow. Hence modelling stride adaptation is important to increase the
predictive power of pedestrian models. To achieve this we reformulate the
problem as an optimisation problem on a disk around the pedestrian. Each
pedestrian seeks the position that is most attractive in a sense of balanced
goals between the search for targets, the need for individual space and the
need to keep a distance from obstacles. The need for space is modelled
according to findings from psychology defining zones around a person that, when
invaded, cause unease. The result is a fully automatic adjustment that allows
calibration through meaningful social parameters and that gives visually
natural results with an excellent fit to measured experimental data.
|
[
{
"created": "Thu, 30 Jan 2014 13:32:16 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2014 14:28:48 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Mar 2015 13:43:11 GMT",
"version": "v3"
}
] |
2015-03-03
|
[
[
"von Sivers",
"Isabella",
""
],
[
"Köster",
"Gerta",
""
]
] |
[
0.018930308520793915,
-0.030199266970157623,
0.0038177601527422667,
0.025828642770648003,
0.09838145971298218,
0.030679529532790184,
0.03442886471748352,
0.0039247870445251465,
-0.022157220169901848,
-0.033428534865379333,
-0.007013196591287851,
-0.09294649213552475,
-0.002855479484423995,
0.0699026882648468,
-0.025023411959409714,
-0.039919499307870865,
0.11920129507780075,
0.1004256010055542,
-0.05343789607286453,
0.05405566841363907,
-0.027412453666329384,
0.002050213748589158,
0.0190730020403862,
0.03347137197852135,
-0.08537257462739944,
0.0011072740890085697,
0.05939196050167084,
-0.08051252365112305,
-0.004672402050346136,
-0.040383148938417435,
0.1068931445479393,
0.0024068288039416075,
0.003649091348052025,
-0.008737357333302498,
-0.057301051914691925,
-0.029446013271808624,
-0.03445902094244957,
0.03817431628704071,
-0.010451344773173332,
0.02788151614367962,
-0.04308440536260605,
-0.010161489248275757,
-0.006856093183159828,
0.01968321017920971,
0.05106062442064285,
0.026364071294665337,
0.02065446227788925,
-0.027352679520845413,
-0.028608962893486023,
-0.01229574903845787,
-0.04945024102926254,
-0.01874336041510105,
-0.0062023610807955265,
0.004412330221384764,
0.0004774642293341458,
-0.03880516067147255,
0.07013439387083054,
0.04862832650542259,
0.07161315530538559,
-0.08399522304534912,
0.03023904748260975,
-0.08511107414960861,
-0.00014605847536586225,
-0.013363526202738285,
-0.06026724725961685,
-0.07031813263893127,
-0.02565189078450203,
0.06555519998073578,
0.07633699476718903,
0.10557825863361359,
-0.014855729416012764,
0.0996289774775505,
0.005905026104301214,
-0.01836319826543331,
0.06974457949399948,
0.00048738569603301585,
0.005589537788182497,
0.002483158139511943,
0.030163045972585678,
-0.06141263619065285,
0.021910129114985466,
-0.045574743300676346,
-0.009201251901686192,
0.028655346482992172,
0.09009246528148651,
0.01651090942323208,
-0.04886731877923012,
0.08945282548666,
0.00659316498786211,
-0.034932155162096024,
-0.07272079586982727,
0.045221928507089615,
-0.033728476613759995,
-0.07757118344306946,
-0.0036343864630907774,
-0.00890252087265253,
-0.06407582759857178,
-0.1212092712521553,
0.007130275014787912,
0.07348690927028656,
0.011731887236237526,
0.04131234064698219,
0.028663184493780136,
0.07901998609304428,
0.02266106568276882,
-0.041378144174814224,
0.026071768254041672,
0.006770981941372156,
-0.017961563542485237,
0.09733869135379791,
0.05651456117630005,
-0.0322570763528347,
0.04100770503282547,
0.01436624489724636,
-0.0024600725155323744,
-0.04884195700287819,
-0.030651651322841644,
0.004941603634506464,
0.0034783927258104086,
0.0753609910607338,
-0.03345134109258652,
-0.01690649800002575,
-0.022328859195113182,
-0.001521946513094008,
0.08074083179235458,
-0.006497730500996113,
-0.054003357887268066,
5.183653432694112e-35,
-0.08036388456821442,
0.013528074137866497,
0.02974538318812847,
0.034140437841415405,
0.005063777323812246,
-0.06651850044727325,
-0.02874784730374813,
-0.07218670845031738,
0.04363051801919937,
0.0016715568490326405,
-0.008324670605361462,
-0.056148070842027664,
-0.006953548640012741,
0.12489600479602814,
0.028431126847863197,
-0.012944093905389309,
-0.05282467231154442,
0.05003422871232033,
-0.0847649797797203,
0.0986025258898735,
0.05583576112985611,
-0.05328850448131561,
-0.08299435675144196,
-0.04575592651963234,
-0.0123892305418849,
0.04849742352962494,
0.003985115326941013,
0.008040900342166424,
-0.022510183975100517,
0.025222646072506905,
-0.0915314182639122,
0.058609649538993835,
-0.04092550650238991,
0.037358302623033524,
0.005690094083547592,
-0.01792297139763832,
-0.027085930109024048,
-0.03498018905520439,
0.02719181403517723,
-0.013368485495448112,
-0.03506789356470108,
0.028379159048199654,
0.016942422837018967,
-0.00573413772508502,
-0.04717379808425903,
0.041885796934366226,
0.056180890649557114,
0.01975371688604355,
-0.11116126924753189,
0.039385970681905746,
-0.011241060681641102,
0.021826623007655144,
-0.008851475082337856,
-0.021193282678723335,
-0.1015734076499939,
-0.0618920624256134,
-0.0009056174894794822,
-0.03210565820336342,
-0.03847739100456238,
0.02224132791161537,
0.052547942847013474,
0.06836435198783875,
0.006023785565048456,
-0.015757577493786812,
0.0780179426074028,
-0.12731844186782837,
-0.01077575609087944,
0.06216643750667572,
0.03544507548213005,
0.0012992819538339972,
-0.019949447363615036,
0.029302500188350677,
0.062071286141872406,
0.013667842373251915,
-0.02338038571178913,
-0.042526401579380035,
0.07247243821620941,
-0.0021632928401231766,
-0.02098873071372509,
-0.11463124305009842,
-0.07098527252674103,
-0.003584380494430661,
-0.031579479575157166,
-0.1270158886909485,
0.02841521054506302,
-0.04712782800197601,
0.013035903684794903,
-0.06900321692228317,
-0.11049666255712509,
-0.06059453263878822,
0.02381242997944355,
-0.019304603338241577,
-0.03754597157239914,
0.056729771196842194,
-0.06568346917629242,
-1.588522841753922e-33,
-0.020372435450553894,
0.02697029337286949,
0.03983015939593315,
0.016143830493092537,
-0.019419055432081223,
-0.011346302926540375,
0.030810672789812088,
-0.02879376709461212,
0.03620853275060654,
-0.024303359910845757,
-0.18185079097747803,
-0.022464947775006294,
0.12447366863489151,
0.025016888976097107,
0.08844777196645737,
-0.033726781606674194,
0.060689643025398254,
-0.043213095515966415,
-0.007350560277700424,
-0.0032569151371717453,
0.003504279302433133,
0.04348963871598244,
-0.08533928543329239,
-0.0523771196603775,
-0.0771690160036087,
0.04225432872772217,
0.049076225608587265,
0.004410183988511562,
-0.033202819526195526,
-0.02739974670112133,
-0.055353131145238876,
-0.07025385648012161,
-0.09927047789096832,
-0.10145145654678345,
-0.002966654719784856,
0.011964086443185806,
-0.0043918536975979805,
0.004739449825137854,
-0.05863244831562042,
0.06386727839708328,
-0.025796134024858475,
0.025763999670743942,
0.02279752679169178,
-0.009164290502667427,
0.0074929045513272285,
0.03039047308266163,
-0.021238239482045174,
-0.009044059552252293,
-0.0970599353313446,
-0.005215299781411886,
-0.01881229132413864,
0.0997401550412178,
-0.047415390610694885,
-0.0033795072231441736,
-0.011854355223476887,
0.0017919853562489152,
-0.03087407723069191,
-0.009620052762329578,
0.11478777229785919,
-0.004819339141249657,
-0.06496545672416687,
0.025580717250704765,
-0.0804770216345787,
0.09208058565855026,
-0.036668241024017334,
0.010089649818837643,
-0.1111067682504654,
0.00011582710430957377,
0.01861337013542652,
0.008952776901423931,
0.0030055611860007048,
0.018156377598643303,
-0.0024289346765726805,
0.041328758001327515,
0.005241116043180227,
-0.07240065932273865,
0.07404602319002151,
0.035732150077819824,
0.07668399810791016,
-0.013836557976901531,
-0.03662019968032837,
0.011717226356267929,
0.01776851713657379,
0.019901420921087265,
-0.036257054656744,
0.09629432111978531,
-0.0376117117702961,
0.0549560971558094,
-0.0594036690890789,
-0.007378199137747288,
-0.0023118099197745323,
0.047169577330350876,
-0.015374795533716679,
0.02934138849377632,
-0.09156174957752228,
-5.069261987955542e-8,
-0.10681662708520889,
0.05432083457708359,
-0.017532475292682648,
0.0037365101743489504,
0.023559672757983208,
0.014586839824914932,
-0.0063810753636062145,
0.062155261635780334,
-0.05408267676830292,
0.009937205351889133,
0.07045024633407593,
0.03651764616370201,
0.07786540687084198,
0.08427128195762634,
-0.018767807632684708,
0.0683380663394928,
-0.0030933378729969263,
0.01582218147814274,
-0.09806989133358002,
0.06605187058448792,
0.0025751220528036356,
0.07133390009403229,
-0.08872455358505249,
0.01692710630595684,
0.10492631047964096,
-0.03451092541217804,
-0.024428268894553185,
0.02188888005912304,
0.02070133574306965,
0.009646174497902393,
0.009866641834378242,
0.06226963922381401,
-0.02689977176487446,
0.03161400929093361,
0.09891963005065918,
0.06862417608499527,
0.03907252475619316,
0.03546910360455513,
0.06377819925546646,
0.011881956830620766,
0.007163587026298046,
0.07722756266593933,
-0.03166944161057472,
0.06411244720220566,
0.052195411175489426,
-0.0019224889110773802,
0.03525640442967415,
-0.09329841285943985,
-0.00941269751638174,
-0.01876794919371605,
0.007971582002937794,
-0.030494650825858116,
-0.05942898988723755,
0.08969499170780182,
0.04612097889184952,
-0.006591774523258209,
-0.08695501834154129,
-0.027226461097598076,
0.0459989458322525,
0.018610334023833275,
-0.018640650436282158,
0.08059162646532059,
-0.08838904649019241,
-0.0012435636017471552
] | null | null | null | null | null | null | null |
[
0.018930308520793915,
-0.030199266970157623,
0.0038177601527422667,
0.025828642770648003,
0.09838145971298218,
0.030679529532790184,
0.03442886471748352,
0.0039247870445251465,
-0.022157220169901848,
-0.033428534865379333,
-0.007013196591287851,
-0.09294649213552475,
-0.002855479484423995,
0.0699026882648468,
-0.025023411959409714,
-0.039919499307870865,
0.11920129507780075,
0.1004256010055542,
-0.05343789607286453,
0.05405566841363907,
-0.027412453666329384,
0.002050213748589158,
0.0190730020403862,
0.03347137197852135,
-0.08537257462739944,
0.0011072740890085697,
0.05939196050167084,
-0.08051252365112305,
-0.004672402050346136,
-0.040383148938417435,
0.1068931445479393,
0.0024068288039416075,
0.003649091348052025,
-0.008737357333302498,
-0.057301051914691925,
-0.029446013271808624,
-0.03445902094244957,
0.03817431628704071,
-0.010451344773173332,
0.02788151614367962,
-0.04308440536260605,
-0.010161489248275757,
-0.006856093183159828,
0.01968321017920971,
0.05106062442064285,
0.026364071294665337,
0.02065446227788925,
-0.027352679520845413,
-0.028608962893486023,
-0.01229574903845787,
-0.04945024102926254,
-0.01874336041510105,
-0.0062023610807955265,
0.004412330221384764,
0.0004774642293341458,
-0.03880516067147255,
0.07013439387083054,
0.04862832650542259,
0.07161315530538559,
-0.08399522304534912,
0.03023904748260975,
-0.08511107414960861,
-0.00014605847536586225,
-0.013363526202738285,
-0.06026724725961685,
-0.07031813263893127,
-0.02565189078450203,
0.06555519998073578,
0.07633699476718903,
0.10557825863361359,
-0.014855729416012764,
0.0996289774775505,
0.005905026104301214,
-0.01836319826543331,
0.06974457949399948,
0.00048738569603301585,
0.005589537788182497,
0.002483158139511943,
0.030163045972585678,
-0.06141263619065285,
0.021910129114985466,
-0.045574743300676346,
-0.009201251901686192,
0.028655346482992172,
0.09009246528148651,
0.01651090942323208,
-0.04886731877923012,
0.08945282548666,
0.00659316498786211,
-0.034932155162096024,
-0.07272079586982727,
0.045221928507089615,
-0.033728476613759995,
-0.07757118344306946,
-0.0036343864630907774,
-0.00890252087265253,
-0.06407582759857178,
-0.1212092712521553,
0.007130275014787912,
0.07348690927028656,
0.011731887236237526,
0.04131234064698219,
0.028663184493780136,
0.07901998609304428,
0.02266106568276882,
-0.041378144174814224,
0.026071768254041672,
0.006770981941372156,
-0.017961563542485237,
0.09733869135379791,
0.05651456117630005,
-0.0322570763528347,
0.04100770503282547,
0.01436624489724636,
-0.0024600725155323744,
-0.04884195700287819,
-0.030651651322841644,
0.004941603634506464,
0.0034783927258104086,
0.0753609910607338,
-0.03345134109258652,
-0.01690649800002575,
-0.022328859195113182,
-0.001521946513094008,
0.08074083179235458,
-0.006497730500996113,
-0.054003357887268066,
5.183653432694112e-35,
-0.08036388456821442,
0.013528074137866497,
0.02974538318812847,
0.034140437841415405,
0.005063777323812246,
-0.06651850044727325,
-0.02874784730374813,
-0.07218670845031738,
0.04363051801919937,
0.0016715568490326405,
-0.008324670605361462,
-0.056148070842027664,
-0.006953548640012741,
0.12489600479602814,
0.028431126847863197,
-0.012944093905389309,
-0.05282467231154442,
0.05003422871232033,
-0.0847649797797203,
0.0986025258898735,
0.05583576112985611,
-0.05328850448131561,
-0.08299435675144196,
-0.04575592651963234,
-0.0123892305418849,
0.04849742352962494,
0.003985115326941013,
0.008040900342166424,
-0.022510183975100517,
0.025222646072506905,
-0.0915314182639122,
0.058609649538993835,
-0.04092550650238991,
0.037358302623033524,
0.005690094083547592,
-0.01792297139763832,
-0.027085930109024048,
-0.03498018905520439,
0.02719181403517723,
-0.013368485495448112,
-0.03506789356470108,
0.028379159048199654,
0.016942422837018967,
-0.00573413772508502,
-0.04717379808425903,
0.041885796934366226,
0.056180890649557114,
0.01975371688604355,
-0.11116126924753189,
0.039385970681905746,
-0.011241060681641102,
0.021826623007655144,
-0.008851475082337856,
-0.021193282678723335,
-0.1015734076499939,
-0.0618920624256134,
-0.0009056174894794822,
-0.03210565820336342,
-0.03847739100456238,
0.02224132791161537,
0.052547942847013474,
0.06836435198783875,
0.006023785565048456,
-0.015757577493786812,
0.0780179426074028,
-0.12731844186782837,
-0.01077575609087944,
0.06216643750667572,
0.03544507548213005,
0.0012992819538339972,
-0.019949447363615036,
0.029302500188350677,
0.062071286141872406,
0.013667842373251915,
-0.02338038571178913,
-0.042526401579380035,
0.07247243821620941,
-0.0021632928401231766,
-0.02098873071372509,
-0.11463124305009842,
-0.07098527252674103,
-0.003584380494430661,
-0.031579479575157166,
-0.1270158886909485,
0.02841521054506302,
-0.04712782800197601,
0.013035903684794903,
-0.06900321692228317,
-0.11049666255712509,
-0.06059453263878822,
0.02381242997944355,
-0.019304603338241577,
-0.03754597157239914,
0.056729771196842194,
-0.06568346917629242,
-1.588522841753922e-33,
-0.020372435450553894,
0.02697029337286949,
0.03983015939593315,
0.016143830493092537,
-0.019419055432081223,
-0.011346302926540375,
0.030810672789812088,
-0.02879376709461212,
0.03620853275060654,
-0.024303359910845757,
-0.18185079097747803,
-0.022464947775006294,
0.12447366863489151,
0.025016888976097107,
0.08844777196645737,
-0.033726781606674194,
0.060689643025398254,
-0.043213095515966415,
-0.007350560277700424,
-0.0032569151371717453,
0.003504279302433133,
0.04348963871598244,
-0.08533928543329239,
-0.0523771196603775,
-0.0771690160036087,
0.04225432872772217,
0.049076225608587265,
0.004410183988511562,
-0.033202819526195526,
-0.02739974670112133,
-0.055353131145238876,
-0.07025385648012161,
-0.09927047789096832,
-0.10145145654678345,
-0.002966654719784856,
0.011964086443185806,
-0.0043918536975979805,
0.004739449825137854,
-0.05863244831562042,
0.06386727839708328,
-0.025796134024858475,
0.025763999670743942,
0.02279752679169178,
-0.009164290502667427,
0.0074929045513272285,
0.03039047308266163,
-0.021238239482045174,
-0.009044059552252293,
-0.0970599353313446,
-0.005215299781411886,
-0.01881229132413864,
0.0997401550412178,
-0.047415390610694885,
-0.0033795072231441736,
-0.011854355223476887,
0.0017919853562489152,
-0.03087407723069191,
-0.009620052762329578,
0.11478777229785919,
-0.004819339141249657,
-0.06496545672416687,
0.025580717250704765,
-0.0804770216345787,
0.09208058565855026,
-0.036668241024017334,
0.010089649818837643,
-0.1111067682504654,
0.00011582710430957377,
0.01861337013542652,
0.008952776901423931,
0.0030055611860007048,
0.018156377598643303,
-0.0024289346765726805,
0.041328758001327515,
0.005241116043180227,
-0.07240065932273865,
0.07404602319002151,
0.035732150077819824,
0.07668399810791016,
-0.013836557976901531,
-0.03662019968032837,
0.011717226356267929,
0.01776851713657379,
0.019901420921087265,
-0.036257054656744,
0.09629432111978531,
-0.0376117117702961,
0.0549560971558094,
-0.0594036690890789,
-0.007378199137747288,
-0.0023118099197745323,
0.047169577330350876,
-0.015374795533716679,
0.02934138849377632,
-0.09156174957752228,
-5.069261987955542e-8,
-0.10681662708520889,
0.05432083457708359,
-0.017532475292682648,
0.0037365101743489504,
0.023559672757983208,
0.014586839824914932,
-0.0063810753636062145,
0.062155261635780334,
-0.05408267676830292,
0.009937205351889133,
0.07045024633407593,
0.03651764616370201,
0.07786540687084198,
0.08427128195762634,
-0.018767807632684708,
0.0683380663394928,
-0.0030933378729969263,
0.01582218147814274,
-0.09806989133358002,
0.06605187058448792,
0.0025751220528036356,
0.07133390009403229,
-0.08872455358505249,
0.01692710630595684,
0.10492631047964096,
-0.03451092541217804,
-0.024428268894553185,
0.02188888005912304,
0.02070133574306965,
0.009646174497902393,
0.009866641834378242,
0.06226963922381401,
-0.02689977176487446,
0.03161400929093361,
0.09891963005065918,
0.06862417608499527,
0.03907252475619316,
0.03546910360455513,
0.06377819925546646,
0.011881956830620766,
0.007163587026298046,
0.07722756266593933,
-0.03166944161057472,
0.06411244720220566,
0.052195411175489426,
-0.0019224889110773802,
0.03525640442967415,
-0.09329841285943985,
-0.00941269751638174,
-0.01876794919371605,
0.007971582002937794,
-0.030494650825858116,
-0.05942898988723755,
0.08969499170780182,
0.04612097889184952,
-0.006591774523258209,
-0.08695501834154129,
-0.027226461097598076,
0.0459989458322525,
0.018610334023833275,
-0.018640650436282158,
0.08059162646532059,
-0.08838904649019241,
-0.0012435636017471552
] |
1401.7842
|
J\'er\^ome Bonelle
|
Jerome Bonelle and Alexandre Ern
|
Analysis of Compatible Discrete Operator Schemes for the Stokes
Equations on Polyhedral Meshes
| null | null | null | null |
math.NA cs.CE cs.NA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compatible Discrete Operator schemes preserve basic properties of the
continuous model at the discrete level. They combine discrete differential
operators that discretize exactly topological laws and discrete Hodge operators
that approximate constitutive relations. We devise and analyze two families of
such schemes for the Stokes equations in curl formulation, with the pressure
degrees of freedom located at either mesh vertices or cells. The schemes ensure
local mass and momentum conservation. We prove discrete stability by
establishing novel discrete Poincar\'e inequalities. Using commutators related
to the consistency error, we derive error estimates with first-order
convergence rates for smooth solutions. We analyze two strategies for
discretizing the external load, so as to deliver tight error estimates when the
external load has a large irrotational or divergence-free part. Finally,
numerical results are presented on three-dimensional polyhedral meshes.
|
[
{
"created": "Thu, 30 Jan 2014 13:43:11 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Bonelle",
"Jerome",
""
],
[
"Ern",
"Alexandre",
""
]
] |
[
-0.052561793476343155,
0.053568195551633835,
0.03423862159252167,
-0.05911736562848091,
-0.034780021756887436,
-0.06380146741867065,
-0.03392067551612854,
0.005004309583455324,
0.05259906128048897,
-0.008155452087521553,
-0.027788737788796425,
0.00910276547074318,
-0.02964206412434578,
-0.020000487565994263,
0.018412312492728233,
-0.024377716705203056,
-0.026814520359039307,
0.07876209914684296,
-0.014906688593327999,
0.06333635002374649,
0.02884439192712307,
0.04504261538386345,
-0.03703111410140991,
0.022406848147511482,
0.057555198669433594,
0.022545326501131058,
0.04741951450705528,
0.05558737367391586,
0.07771502435207367,
-0.05104108527302742,
-0.04213113710284233,
-0.10233025252819061,
-0.13164199888706207,
-0.009944419376552105,
0.0017411959124729037,
0.013440797105431557,
-0.001657203771173954,
0.06553415209054947,
-0.09861018508672714,
0.04455497860908508,
0.010104629211127758,
0.029419219121336937,
0.037475429475307465,
-0.005824245046824217,
-0.0005705715157091618,
-0.06048163026571274,
-0.015233009122312069,
-0.014088586904108524,
-0.04416843131184578,
-0.052459411323070526,
0.035191964358091354,
0.012041214853525162,
0.019814401865005493,
-0.02653278224170208,
-0.04043269529938698,
-0.11941829323768616,
0.10163644701242447,
0.02081133984029293,
0.016445394605398178,
-0.053716231137514114,
0.04826939105987549,
-0.03928360715508461,
-0.0059273215010762215,
-0.006930108647793531,
-0.05585447698831558,
-0.03398925065994263,
0.01029608678072691,
0.051850225776433945,
-0.021006949245929718,
0.0936894342303276,
-0.05399727448821068,
-0.006675794254988432,
-0.09202821552753448,
-0.054042790085077286,
0.02575097605586052,
-0.037190452218055725,
0.0577009953558445,
-0.006354389246553183,
-0.08382485061883926,
0.008056044578552246,
0.010288750752806664,
0.06625744700431824,
0.014489354565739632,
-0.05583251640200615,
-0.0027812093030661345,
0.0034234721679240465,
-0.09589046239852905,
-0.0026877340860664845,
-0.013751069083809853,
-0.03802962973713875,
0.027630817145109177,
0.09701275080442429,
-0.0502895712852478,
0.08136455714702606,
0.057034969329833984,
0.039764653891325,
-0.025928901508450508,
0.018005691468715668,
-0.01789397932589054,
0.0387590266764164,
0.018574943765997887,
-0.06205546483397484,
-0.017683373764157295,
0.045141324400901794,
-0.020442580804228783,
0.03070739470422268,
0.04720364883542061,
-0.01940654218196869,
-0.001574257854372263,
-0.04849351570010185,
0.02178848534822464,
-0.0770762637257576,
-0.044333528727293015,
-0.011530582793056965,
-0.11803513765335083,
-0.12091309577226639,
-0.03009520098567009,
-0.0344848595559597,
0.09505103528499603,
-0.011944998055696487,
0.023433329537510872,
0.013633357360959053,
0.049628790467977524,
0.0009533412521705031,
0.06354043632745743,
-0.03764234855771065,
0.03365377336740494,
2.62027296791186e-33,
0.00043515890138223767,
-0.033121149986982346,
0.015187176875770092,
0.11333713680505753,
-0.006027718540281057,
0.03918132185935974,
0.04053790122270584,
0.036607835441827774,
0.02247881144285202,
0.07009373605251312,
-0.07147307693958282,
0.04696682468056679,
-0.0912621021270752,
-0.0529230497777462,
0.02185819484293461,
-0.015112608671188354,
-0.0030808416195213795,
0.0356597900390625,
0.03934567794203758,
-0.014303074218332767,
0.15256093442440033,
-0.0614885650575161,
-0.02493155561387539,
0.01992545835673809,
-0.04359090328216553,
0.023027639836072922,
0.022807171568274498,
0.06331583857536316,
0.0365939661860466,
0.04048087075352669,
-0.029843520373106003,
-0.04458172246813774,
-0.008397513069212437,
-0.01649954915046692,
0.052849020808935165,
0.11435478180646896,
-0.008816245943307877,
-0.02755156345665455,
-0.071894571185112,
-0.01587984338402748,
-0.05024066939949989,
0.04143455997109413,
0.05408051982522011,
0.03296995908021927,
-0.0654638409614563,
0.015511884354054928,
-0.03896928206086159,
0.03227252513170242,
-0.044438328593969345,
-0.0313720703125,
-0.010345326736569405,
0.04406043887138367,
-0.02384786494076252,
0.018890388309955597,
0.021120963618159294,
-0.06813544034957886,
-0.10202701389789581,
0.01804429478943348,
-0.0026797528844326735,
0.020686771720647812,
0.024062570184469223,
0.0491563081741333,
0.0006546236691065133,
-0.04033739119768143,
-0.0301982332020998,
0.003410495351999998,
0.0009929710067808628,
0.041276346892118454,
0.0005649321246892214,
-0.007325789891183376,
-0.035636525601148605,
0.07295005768537521,
-0.0055343336425721645,
-0.06964225322008133,
-0.00409176480025053,
-0.05106246843934059,
0.007067395839840174,
-0.06298620998859406,
0.017498066648840904,
-0.022980114445090294,
-0.029470384120941162,
-0.012293498031795025,
-0.0007027076208032668,
-0.02674676477909088,
-0.0245334655046463,
-0.08251472562551498,
-0.01046736165881157,
0.04127916693687439,
0.021531065925955772,
-0.024289632216095924,
-0.0566798597574234,
0.013724912889301777,
0.06587419658899307,
-0.02766943909227848,
-0.03727831318974495,
-4.9994575545998385e-33,
-0.021003663539886475,
0.04865602031350136,
0.030006401240825653,
0.0035295947454869747,
0.06349630653858185,
0.02428482100367546,
0.07515924423933029,
0.02420089580118656,
-0.008132534101605415,
-0.1463400274515152,
-0.0399865098297596,
0.04297361522912979,
-0.012963664717972279,
0.07944020628929138,
0.06348526477813721,
-0.04638175293803215,
-0.12420695275068283,
-0.09699905663728714,
-0.06527063995599747,
0.005879235919564962,
-0.03676649555563927,
-0.06282442063093185,
-0.05633872002363205,
0.02954944595694542,
-0.04099234566092491,
0.04152402654290199,
-0.14572429656982422,
0.019694408401846886,
0.019383104518055916,
0.075926274061203,
0.05635501816868782,
-0.011023402214050293,
-0.08353128284215927,
0.061396948993206024,
-0.09196531772613525,
0.037762586027383804,
-0.06760857254266739,
0.14613108336925507,
0.024093039333820343,
0.04769844934344292,
-0.01591258868575096,
-0.04749753698706627,
0.01669241301715374,
0.022140871733427048,
-0.005790621507912874,
0.01571851782500744,
-0.00575617142021656,
-0.06384353339672089,
-0.041179586201906204,
0.02770289219915867,
0.02064250223338604,
0.020648399367928505,
0.010658289305865765,
0.04188996180891991,
-0.011718633584678173,
-0.006761933211237192,
-0.003472772892564535,
0.0326731875538826,
-0.012855504639446735,
0.016887489706277847,
-0.06201724708080292,
-0.05225590616464615,
0.0421602763235569,
0.09540820121765137,
-0.042810577899217606,
0.032146356999874115,
0.017315657809376717,
-0.0781390517950058,
-0.03241037204861641,
0.06122651696205139,
-0.09720318019390106,
-0.0045912256464362144,
-0.049277160316705704,
0.019865041598677635,
0.061412762850522995,
-0.09499259293079376,
0.10929031670093536,
-0.0013876758748665452,
0.018650831654667854,
0.06019022688269615,
0.02806352823972702,
0.06098038703203201,
0.021121671423316002,
0.032541558146476746,
0.0010604711715131998,
-0.0689905434846878,
0.04621874913573265,
0.03810438513755798,
0.0015570324612781405,
0.030672268941998482,
0.0792924240231514,
0.014544697478413582,
0.05941060557961464,
0.016016703099012375,
0.01570596732199192,
-4.770850026147855e-8,
-0.019992241635918617,
-0.06943279504776001,
0.030528154224157333,
-0.05991315841674805,
-0.11758868396282196,
0.01262223906815052,
-0.04348710551857948,
-0.046201013028621674,
0.05909765884280205,
-0.018764039501547813,
0.068941630423069,
0.01828419230878353,
-0.016014093533158302,
-0.04303466156125069,
-0.014268317259848118,
0.05844123288989067,
0.0009186845272779465,
-0.02510097809135914,
0.040091998875141144,
-0.08644897490739822,
-0.08253693580627441,
0.08697470277547836,
-0.07089563459157944,
0.016172774136066437,
0.07035776227712631,
-0.008146170526742935,
-0.06569653004407883,
-0.026405947282910347,
0.08447510004043579,
0.04282103478908539,
-0.010436468757689,
0.03818462789058685,
0.0431877076625824,
-0.002012592740356922,
-0.039038486778736115,
0.07581960409879684,
0.017653390765190125,
0.060483504086732864,
0.015940507873892784,
-0.03693503141403198,
0.014223642647266388,
0.10555784404277802,
0.016134170815348625,
-0.09508945792913437,
0.051769111305475235,
0.08299581706523895,
-0.023762254044413567,
0.08446215093135834,
-0.015689924359321594,
0.07705526053905487,
-0.1306220144033432,
0.09266074746847153,
-0.016454964876174927,
0.09523787349462509,
0.027257390320301056,
-0.03159482404589653,
-0.1034572422504425,
-0.052020058035850525,
-0.013355783186852932,
-0.06822595745325089,
0.007225009612739086,
-0.015503857284784317,
-0.024208512157201767,
0.025904985144734383
] | null | null | null | null | null | null | null |
[
-0.052561793476343155,
0.053568195551633835,
0.03423862159252167,
-0.05911736562848091,
-0.034780021756887436,
-0.06380146741867065,
-0.03392067551612854,
0.005004309583455324,
0.05259906128048897,
-0.008155452087521553,
-0.027788737788796425,
0.00910276547074318,
-0.02964206412434578,
-0.020000487565994263,
0.018412312492728233,
-0.024377716705203056,
-0.026814520359039307,
0.07876209914684296,
-0.014906688593327999,
0.06333635002374649,
0.02884439192712307,
0.04504261538386345,
-0.03703111410140991,
0.022406848147511482,
0.057555198669433594,
0.022545326501131058,
0.04741951450705528,
0.05558737367391586,
0.07771502435207367,
-0.05104108527302742,
-0.04213113710284233,
-0.10233025252819061,
-0.13164199888706207,
-0.009944419376552105,
0.0017411959124729037,
0.013440797105431557,
-0.001657203771173954,
0.06553415209054947,
-0.09861018508672714,
0.04455497860908508,
0.010104629211127758,
0.029419219121336937,
0.037475429475307465,
-0.005824245046824217,
-0.0005705715157091618,
-0.06048163026571274,
-0.015233009122312069,
-0.014088586904108524,
-0.04416843131184578,
-0.052459411323070526,
0.035191964358091354,
0.012041214853525162,
0.019814401865005493,
-0.02653278224170208,
-0.04043269529938698,
-0.11941829323768616,
0.10163644701242447,
0.02081133984029293,
0.016445394605398178,
-0.053716231137514114,
0.04826939105987549,
-0.03928360715508461,
-0.0059273215010762215,
-0.006930108647793531,
-0.05585447698831558,
-0.03398925065994263,
0.01029608678072691,
0.051850225776433945,
-0.021006949245929718,
0.0936894342303276,
-0.05399727448821068,
-0.006675794254988432,
-0.09202821552753448,
-0.054042790085077286,
0.02575097605586052,
-0.037190452218055725,
0.0577009953558445,
-0.006354389246553183,
-0.08382485061883926,
0.008056044578552246,
0.010288750752806664,
0.06625744700431824,
0.014489354565739632,
-0.05583251640200615,
-0.0027812093030661345,
0.0034234721679240465,
-0.09589046239852905,
-0.0026877340860664845,
-0.013751069083809853,
-0.03802962973713875,
0.027630817145109177,
0.09701275080442429,
-0.0502895712852478,
0.08136455714702606,
0.057034969329833984,
0.039764653891325,
-0.025928901508450508,
0.018005691468715668,
-0.01789397932589054,
0.0387590266764164,
0.018574943765997887,
-0.06205546483397484,
-0.017683373764157295,
0.045141324400901794,
-0.020442580804228783,
0.03070739470422268,
0.04720364883542061,
-0.01940654218196869,
-0.001574257854372263,
-0.04849351570010185,
0.02178848534822464,
-0.0770762637257576,
-0.044333528727293015,
-0.011530582793056965,
-0.11803513765335083,
-0.12091309577226639,
-0.03009520098567009,
-0.0344848595559597,
0.09505103528499603,
-0.011944998055696487,
0.023433329537510872,
0.013633357360959053,
0.049628790467977524,
0.0009533412521705031,
0.06354043632745743,
-0.03764234855771065,
0.03365377336740494,
2.62027296791186e-33,
0.00043515890138223767,
-0.033121149986982346,
0.015187176875770092,
0.11333713680505753,
-0.006027718540281057,
0.03918132185935974,
0.04053790122270584,
0.036607835441827774,
0.02247881144285202,
0.07009373605251312,
-0.07147307693958282,
0.04696682468056679,
-0.0912621021270752,
-0.0529230497777462,
0.02185819484293461,
-0.015112608671188354,
-0.0030808416195213795,
0.0356597900390625,
0.03934567794203758,
-0.014303074218332767,
0.15256093442440033,
-0.0614885650575161,
-0.02493155561387539,
0.01992545835673809,
-0.04359090328216553,
0.023027639836072922,
0.022807171568274498,
0.06331583857536316,
0.0365939661860466,
0.04048087075352669,
-0.029843520373106003,
-0.04458172246813774,
-0.008397513069212437,
-0.01649954915046692,
0.052849020808935165,
0.11435478180646896,
-0.008816245943307877,
-0.02755156345665455,
-0.071894571185112,
-0.01587984338402748,
-0.05024066939949989,
0.04143455997109413,
0.05408051982522011,
0.03296995908021927,
-0.0654638409614563,
0.015511884354054928,
-0.03896928206086159,
0.03227252513170242,
-0.044438328593969345,
-0.0313720703125,
-0.010345326736569405,
0.04406043887138367,
-0.02384786494076252,
0.018890388309955597,
0.021120963618159294,
-0.06813544034957886,
-0.10202701389789581,
0.01804429478943348,
-0.0026797528844326735,
0.020686771720647812,
0.024062570184469223,
0.0491563081741333,
0.0006546236691065133,
-0.04033739119768143,
-0.0301982332020998,
0.003410495351999998,
0.0009929710067808628,
0.041276346892118454,
0.0005649321246892214,
-0.007325789891183376,
-0.035636525601148605,
0.07295005768537521,
-0.0055343336425721645,
-0.06964225322008133,
-0.00409176480025053,
-0.05106246843934059,
0.007067395839840174,
-0.06298620998859406,
0.017498066648840904,
-0.022980114445090294,
-0.029470384120941162,
-0.012293498031795025,
-0.0007027076208032668,
-0.02674676477909088,
-0.0245334655046463,
-0.08251472562551498,
-0.01046736165881157,
0.04127916693687439,
0.021531065925955772,
-0.024289632216095924,
-0.0566798597574234,
0.013724912889301777,
0.06587419658899307,
-0.02766943909227848,
-0.03727831318974495,
-4.9994575545998385e-33,
-0.021003663539886475,
0.04865602031350136,
0.030006401240825653,
0.0035295947454869747,
0.06349630653858185,
0.02428482100367546,
0.07515924423933029,
0.02420089580118656,
-0.008132534101605415,
-0.1463400274515152,
-0.0399865098297596,
0.04297361522912979,
-0.012963664717972279,
0.07944020628929138,
0.06348526477813721,
-0.04638175293803215,
-0.12420695275068283,
-0.09699905663728714,
-0.06527063995599747,
0.005879235919564962,
-0.03676649555563927,
-0.06282442063093185,
-0.05633872002363205,
0.02954944595694542,
-0.04099234566092491,
0.04152402654290199,
-0.14572429656982422,
0.019694408401846886,
0.019383104518055916,
0.075926274061203,
0.05635501816868782,
-0.011023402214050293,
-0.08353128284215927,
0.061396948993206024,
-0.09196531772613525,
0.037762586027383804,
-0.06760857254266739,
0.14613108336925507,
0.024093039333820343,
0.04769844934344292,
-0.01591258868575096,
-0.04749753698706627,
0.01669241301715374,
0.022140871733427048,
-0.005790621507912874,
0.01571851782500744,
-0.00575617142021656,
-0.06384353339672089,
-0.041179586201906204,
0.02770289219915867,
0.02064250223338604,
0.020648399367928505,
0.010658289305865765,
0.04188996180891991,
-0.011718633584678173,
-0.006761933211237192,
-0.003472772892564535,
0.0326731875538826,
-0.012855504639446735,
0.016887489706277847,
-0.06201724708080292,
-0.05225590616464615,
0.0421602763235569,
0.09540820121765137,
-0.042810577899217606,
0.032146356999874115,
0.017315657809376717,
-0.0781390517950058,
-0.03241037204861641,
0.06122651696205139,
-0.09720318019390106,
-0.0045912256464362144,
-0.049277160316705704,
0.019865041598677635,
0.061412762850522995,
-0.09499259293079376,
0.10929031670093536,
-0.0013876758748665452,
0.018650831654667854,
0.06019022688269615,
0.02806352823972702,
0.06098038703203201,
0.021121671423316002,
0.032541558146476746,
0.0010604711715131998,
-0.0689905434846878,
0.04621874913573265,
0.03810438513755798,
0.0015570324612781405,
0.030672268941998482,
0.0792924240231514,
0.014544697478413582,
0.05941060557961464,
0.016016703099012375,
0.01570596732199192,
-4.770850026147855e-8,
-0.019992241635918617,
-0.06943279504776001,
0.030528154224157333,
-0.05991315841674805,
-0.11758868396282196,
0.01262223906815052,
-0.04348710551857948,
-0.046201013028621674,
0.05909765884280205,
-0.018764039501547813,
0.068941630423069,
0.01828419230878353,
-0.016014093533158302,
-0.04303466156125069,
-0.014268317259848118,
0.05844123288989067,
0.0009186845272779465,
-0.02510097809135914,
0.040091998875141144,
-0.08644897490739822,
-0.08253693580627441,
0.08697470277547836,
-0.07089563459157944,
0.016172774136066437,
0.07035776227712631,
-0.008146170526742935,
-0.06569653004407883,
-0.026405947282910347,
0.08447510004043579,
0.04282103478908539,
-0.010436468757689,
0.03818462789058685,
0.0431877076625824,
-0.002012592740356922,
-0.039038486778736115,
0.07581960409879684,
0.017653390765190125,
0.060483504086732864,
0.015940507873892784,
-0.03693503141403198,
0.014223642647266388,
0.10555784404277802,
0.016134170815348625,
-0.09508945792913437,
0.051769111305475235,
0.08299581706523895,
-0.023762254044413567,
0.08446215093135834,
-0.015689924359321594,
0.07705526053905487,
-0.1306220144033432,
0.09266074746847153,
-0.016454964876174927,
0.09523787349462509,
0.027257390320301056,
-0.03159482404589653,
-0.1034572422504425,
-0.052020058035850525,
-0.013355783186852932,
-0.06822595745325089,
0.007225009612739086,
-0.015503857284784317,
-0.024208512157201767,
0.025904985144734383
] |
1401.7846
|
Georgios Ropokis
|
George A. Ropokis, David Gesbert, Kostas Berberidis
|
Optimal power control in Cognitive MIMO systems with limited feedback
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, the problem of optimal power allocation in Cognitive Radio
(CR) Multiple Input Multiple Output (MIMO) systems is treated. The focus is on
providing limited feedback solutions aiming at maximizing the secondary system
rate subject to a constraint on the average interference caused to primary
communication. The limited feedback solutions are obtained by reducing the
information available at secondary transmitter (STx) for the link between STx
and the secondary receiver (SRx) as well as by limiting the level of available
information at STx that corresponds to the link between the STx and the primary
receiver PRx. Monte Carlo simulation results are given that allow to quanitfy
the performance achieved by the proposed algorithms.
|
[
{
"created": "Thu, 30 Jan 2014 14:11:09 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Ropokis",
"George A.",
""
],
[
"Gesbert",
"David",
""
],
[
"Berberidis",
"Kostas",
""
]
] |
[
0.0838378295302391,
0.05361918359994888,
-0.07754599303007126,
-0.015023472718894482,
-0.0194538664072752,
0.010427918285131454,
0.057460855692625046,
0.02911916933953762,
0.033750247210264206,
0.07891180366277695,
-0.01906282640993595,
0.051823023706674576,
0.11568614095449448,
0.014957650564610958,
-0.01992829702794552,
0.061480969190597534,
0.037928853183984756,
0.03242843225598335,
0.021185999736189842,
-0.018721526488661766,
0.11929885298013687,
-0.01645197905600071,
0.049608830362558365,
-0.0053371042013168335,
0.04895901307463646,
-0.05241144448518753,
0.0138355428352952,
-0.008246161043643951,
-0.010982614010572433,
0.011717770248651505,
-0.03366328030824661,
-0.016233960166573524,
0.11186036467552185,
-0.10941687226295471,
-0.030535345897078514,
-0.07737401127815247,
-0.018259145319461823,
0.018949275836348534,
0.03453175723552704,
0.021298840641975403,
-0.14000292122364044,
0.05984676256775856,
-0.0017418209463357925,
-0.00391132989898324,
-0.10857658088207245,
0.0054360004141926765,
-0.022664576768875122,
-0.0037911604158580303,
-0.038095369935035706,
-0.05656924471259117,
0.0518454909324646,
0.007615348789840937,
0.009450753219425678,
0.07988287508487701,
0.007338530384004116,
-0.04153382405638695,
-0.10224924981594086,
-0.019713019952178,
-0.012328572571277618,
0.0033245303202420473,
-0.06423819065093994,
-0.018539227545261383,
-0.0016915745800361037,
-0.054273709654808044,
0.010637225583195686,
0.04447479918599129,
-0.01866888999938965,
0.07462619990110397,
-0.12472396343946457,
-0.011408497579395771,
-0.03606366738677025,
-0.0021563495974987745,
0.03517647832632065,
-0.08339568972587585,
0.07201559096574783,
0.047422103583812714,
-0.08720890432596207,
0.012592385523021221,
0.04536821320652962,
0.008338394574820995,
0.0507487952709198,
0.051325686275959015,
-0.04924260079860687,
-0.07842281460762024,
0.08375348895788193,
-0.056486766785383224,
-0.08030100911855698,
0.026821937412023544,
0.1045793741941452,
-0.02484506368637085,
-0.043920088559389114,
-0.022738710045814514,
-0.002277553780004382,
0.07046006619930267,
-0.0417623445391655,
-0.021617531776428223,
0.027691414579749107,
-0.0239736158400774,
0.03355875611305237,
-0.0024989559315145016,
0.05500490963459015,
-0.07323695719242096,
0.0487365685403347,
-0.03562794253230095,
0.03239792212843895,
-0.052928801625967026,
0.013469462282955647,
0.06874918937683105,
0.05038519576191902,
-0.09308861196041107,
-0.01920505426824093,
0.06857062131166458,
-0.04493003338575363,
-0.00936761125922203,
-0.05370593070983887,
0.1469004601240158,
0.1349622756242752,
0.11782492697238922,
0.02771747298538685,
-0.019830752164125443,
-0.042966753244400024,
-0.09398843348026276,
0.029130462557077408,
0.06073305010795593,
0.09649869054555893,
-0.05404985696077347,
-0.04332888126373291,
2.6221908604136236e-33,
-0.11345224827528,
0.020607957616448402,
-0.024650830775499344,
0.04709118604660034,
-0.009141416288912296,
0.027874503284692764,
-0.07030637562274933,
-0.029061852023005486,
0.05520418658852577,
-0.050441350787878036,
0.0053666941821575165,
0.007179817650467157,
-0.012355971150100231,
0.011048885993659496,
0.015032865107059479,
0.02072056755423546,
-0.03809722140431404,
0.06419539451599121,
0.060598164796829224,
-0.023614367470145226,
-0.0011420471128076315,
0.04188162833452225,
-0.0338713601231575,
-0.02751127816736698,
0.05593068525195122,
0.04928673431277275,
-0.011446678079664707,
-0.050164226442575455,
0.01613295078277588,
-0.0008218763978220522,
0.03811962530016899,
-0.04189043492078781,
0.05865008756518364,
0.010801803320646286,
-0.07110101729631424,
0.01809694990515709,
0.05210106074810028,
0.007086272817105055,
-0.04591034725308418,
0.010850917547941208,
0.0375952310860157,
-0.029765570536255836,
0.029468119144439697,
0.01008483674377203,
-0.009683173149824142,
-0.07406754791736603,
0.06467148661613464,
-0.0022463242057710886,
-0.06892702728509903,
0.000581661646720022,
-0.04980309680104256,
0.004033650737255812,
-0.05675787106156349,
0.09356383234262466,
0.07011948525905609,
-0.03845065087080002,
-0.046409670263528824,
0.02152170054614544,
0.036148134618997574,
0.08097419887781143,
-0.08614689111709595,
-0.04601238667964935,
-0.015973133966326714,
-0.02449761889874935,
0.062082577496767044,
0.022134801372885704,
-0.010018611326813698,
-0.011460928246378899,
0.03308665752410889,
0.06260055303573608,
0.025901658460497856,
0.009803049266338348,
0.0176780354231596,
-0.05902634188532829,
-0.01918656751513481,
0.012545245699584484,
0.008469894528388977,
0.009068812243640423,
-0.07692354172468185,
0.02093455195426941,
0.008054967038333416,
0.050601113587617874,
-0.06874506175518036,
0.05162226781249046,
0.00855355616658926,
0.03496221825480461,
0.009705194272100925,
-0.002354394644498825,
-0.07670830935239792,
0.0950755700469017,
-0.07728555053472519,
0.05923845246434212,
-0.041317909955978394,
0.012025505304336548,
-0.008392763324081898,
-2.584211556293517e-33,
-0.06752084940671921,
0.0623922273516655,
0.0647955909371376,
-0.024227546527981758,
0.013849928043782711,
-0.020088614895939827,
-0.005614814348518848,
-0.0757618322968483,
0.011993437074124813,
-0.051177866756916046,
-0.0719762071967125,
-0.09059914946556091,
-0.011860068887472153,
0.06935035437345505,
-0.031149964779615402,
0.05417012423276901,
0.04133761674165726,
0.05078689381480217,
0.03835442289710045,
-0.034242819994688034,
0.05361999198794365,
0.08520469069480896,
0.045565493404865265,
-0.04096349701285362,
0.030233779922127724,
0.0013805084163323045,
-0.06628891080617905,
0.06301455199718475,
0.03690009191632271,
0.05388814955949783,
-0.07072018086910248,
-0.041134875267744064,
-0.02500290609896183,
0.040474917739629745,
0.04881361126899719,
-0.0013732900843024254,
-0.032360516488552094,
0.11000652611255646,
0.022532610222697258,
0.11081251502037048,
-0.007060586009174585,
-0.04618265479803085,
0.005058275535702705,
-0.04260062426328659,
0.06263670325279236,
-0.032411523163318634,
0.005471627227962017,
0.05526008829474449,
0.01641354151070118,
0.009017884731292725,
0.005592158064246178,
-0.119663767516613,
-0.08657700568437576,
-0.013164755888283253,
-0.08077719807624817,
-0.037580229341983795,
-0.0142622459679842,
0.06233193352818489,
0.0486115999519825,
0.024415986612439156,
0.05798681825399399,
0.04156119376420975,
-0.0705593004822731,
-0.01199500635266304,
0.05557660385966301,
0.02994707226753235,
0.02725943736732006,
0.02282474935054779,
-0.011535159312188625,
0.09841855615377426,
-0.06780174374580383,
0.009744185954332352,
0.023630963638424873,
-0.01113878283649683,
0.047460101544857025,
0.14583326876163483,
-0.05297160893678665,
-0.04534557834267616,
-0.0038447370752692223,
-0.036180660128593445,
-0.093912772834301,
0.04785791411995888,
-0.03453964740037918,
-0.03474705293774605,
-0.029847003519535065,
0.018859785050153732,
0.011103914119303226,
-0.0060456255450844765,
0.01661999523639679,
-0.12961356341838837,
-0.02881099283695221,
0.004185867961496115,
0.02027139998972416,
0.014123770408332348,
-0.07211773842573166,
-4.360783023571457e-8,
-0.020180614665150642,
-0.08481048792600632,
0.009098643437027931,
0.0035769660025835037,
0.11155131459236145,
-0.02554897405207157,
-0.00866442546248436,
-0.08227812498807907,
0.02527615800499916,
-0.025810355320572853,
-0.016390692442655563,
-0.022993510589003563,
0.03257374465465546,
0.06423227488994598,
-0.04746510088443756,
-0.05600351840257645,
-0.06840454787015915,
-0.0654010996222496,
0.0027624168433248997,
-0.0604206882417202,
-0.02102792076766491,
0.003659577341750264,
0.010597476735711098,
0.03536676988005638,
-0.028611158952116966,
0.030962899327278137,
0.09943827241659164,
-0.02640150673687458,
0.00809871032834053,
-0.01561752613633871,
-0.0008320700726471841,
0.016542326658964157,
-0.049430523067712784,
0.0825754851102829,
0.0030290710274130106,
-0.03745787590742111,
-0.022363534197211266,
0.0165402851998806,
-0.028892287984490395,
-0.0017007692949846387,
0.022744931280612946,
-0.06280754506587982,
0.009160852991044521,
0.008487344719469547,
0.027437154203653336,
0.06320714950561523,
-0.03396464139223099,
-0.05727546289563179,
0.02267102338373661,
-0.013943750411272049,
0.05445822700858116,
0.08633548021316528,
-0.009005304425954819,
-0.02466120384633541,
-0.030713872984051704,
-0.04024861380457878,
0.0965324193239212,
-0.028424272313714027,
-0.0076148128136992455,
-0.04992896690964699,
-0.0648350715637207,
0.08832595497369766,
-0.06489906460046768,
0.010373272933065891
] | null | null | null | null | null | null | null |
[
0.0838378295302391,
0.05361918359994888,
-0.07754599303007126,
-0.015023472718894482,
-0.0194538664072752,
0.010427918285131454,
0.057460855692625046,
0.02911916933953762,
0.033750247210264206,
0.07891180366277695,
-0.01906282640993595,
0.051823023706674576,
0.11568614095449448,
0.014957650564610958,
-0.01992829702794552,
0.061480969190597534,
0.037928853183984756,
0.03242843225598335,
0.021185999736189842,
-0.018721526488661766,
0.11929885298013687,
-0.01645197905600071,
0.049608830362558365,
-0.0053371042013168335,
0.04895901307463646,
-0.05241144448518753,
0.0138355428352952,
-0.008246161043643951,
-0.010982614010572433,
0.011717770248651505,
-0.03366328030824661,
-0.016233960166573524,
0.11186036467552185,
-0.10941687226295471,
-0.030535345897078514,
-0.07737401127815247,
-0.018259145319461823,
0.018949275836348534,
0.03453175723552704,
0.021298840641975403,
-0.14000292122364044,
0.05984676256775856,
-0.0017418209463357925,
-0.00391132989898324,
-0.10857658088207245,
0.0054360004141926765,
-0.022664576768875122,
-0.0037911604158580303,
-0.038095369935035706,
-0.05656924471259117,
0.0518454909324646,
0.007615348789840937,
0.009450753219425678,
0.07988287508487701,
0.007338530384004116,
-0.04153382405638695,
-0.10224924981594086,
-0.019713019952178,
-0.012328572571277618,
0.0033245303202420473,
-0.06423819065093994,
-0.018539227545261383,
-0.0016915745800361037,
-0.054273709654808044,
0.010637225583195686,
0.04447479918599129,
-0.01866888999938965,
0.07462619990110397,
-0.12472396343946457,
-0.011408497579395771,
-0.03606366738677025,
-0.0021563495974987745,
0.03517647832632065,
-0.08339568972587585,
0.07201559096574783,
0.047422103583812714,
-0.08720890432596207,
0.012592385523021221,
0.04536821320652962,
0.008338394574820995,
0.0507487952709198,
0.051325686275959015,
-0.04924260079860687,
-0.07842281460762024,
0.08375348895788193,
-0.056486766785383224,
-0.08030100911855698,
0.026821937412023544,
0.1045793741941452,
-0.02484506368637085,
-0.043920088559389114,
-0.022738710045814514,
-0.002277553780004382,
0.07046006619930267,
-0.0417623445391655,
-0.021617531776428223,
0.027691414579749107,
-0.0239736158400774,
0.03355875611305237,
-0.0024989559315145016,
0.05500490963459015,
-0.07323695719242096,
0.0487365685403347,
-0.03562794253230095,
0.03239792212843895,
-0.052928801625967026,
0.013469462282955647,
0.06874918937683105,
0.05038519576191902,
-0.09308861196041107,
-0.01920505426824093,
0.06857062131166458,
-0.04493003338575363,
-0.00936761125922203,
-0.05370593070983887,
0.1469004601240158,
0.1349622756242752,
0.11782492697238922,
0.02771747298538685,
-0.019830752164125443,
-0.042966753244400024,
-0.09398843348026276,
0.029130462557077408,
0.06073305010795593,
0.09649869054555893,
-0.05404985696077347,
-0.04332888126373291,
2.6221908604136236e-33,
-0.11345224827528,
0.020607957616448402,
-0.024650830775499344,
0.04709118604660034,
-0.009141416288912296,
0.027874503284692764,
-0.07030637562274933,
-0.029061852023005486,
0.05520418658852577,
-0.050441350787878036,
0.0053666941821575165,
0.007179817650467157,
-0.012355971150100231,
0.011048885993659496,
0.015032865107059479,
0.02072056755423546,
-0.03809722140431404,
0.06419539451599121,
0.060598164796829224,
-0.023614367470145226,
-0.0011420471128076315,
0.04188162833452225,
-0.0338713601231575,
-0.02751127816736698,
0.05593068525195122,
0.04928673431277275,
-0.011446678079664707,
-0.050164226442575455,
0.01613295078277588,
-0.0008218763978220522,
0.03811962530016899,
-0.04189043492078781,
0.05865008756518364,
0.010801803320646286,
-0.07110101729631424,
0.01809694990515709,
0.05210106074810028,
0.007086272817105055,
-0.04591034725308418,
0.010850917547941208,
0.0375952310860157,
-0.029765570536255836,
0.029468119144439697,
0.01008483674377203,
-0.009683173149824142,
-0.07406754791736603,
0.06467148661613464,
-0.0022463242057710886,
-0.06892702728509903,
0.000581661646720022,
-0.04980309680104256,
0.004033650737255812,
-0.05675787106156349,
0.09356383234262466,
0.07011948525905609,
-0.03845065087080002,
-0.046409670263528824,
0.02152170054614544,
0.036148134618997574,
0.08097419887781143,
-0.08614689111709595,
-0.04601238667964935,
-0.015973133966326714,
-0.02449761889874935,
0.062082577496767044,
0.022134801372885704,
-0.010018611326813698,
-0.011460928246378899,
0.03308665752410889,
0.06260055303573608,
0.025901658460497856,
0.009803049266338348,
0.0176780354231596,
-0.05902634188532829,
-0.01918656751513481,
0.012545245699584484,
0.008469894528388977,
0.009068812243640423,
-0.07692354172468185,
0.02093455195426941,
0.008054967038333416,
0.050601113587617874,
-0.06874506175518036,
0.05162226781249046,
0.00855355616658926,
0.03496221825480461,
0.009705194272100925,
-0.002354394644498825,
-0.07670830935239792,
0.0950755700469017,
-0.07728555053472519,
0.05923845246434212,
-0.041317909955978394,
0.012025505304336548,
-0.008392763324081898,
-2.584211556293517e-33,
-0.06752084940671921,
0.0623922273516655,
0.0647955909371376,
-0.024227546527981758,
0.013849928043782711,
-0.020088614895939827,
-0.005614814348518848,
-0.0757618322968483,
0.011993437074124813,
-0.051177866756916046,
-0.0719762071967125,
-0.09059914946556091,
-0.011860068887472153,
0.06935035437345505,
-0.031149964779615402,
0.05417012423276901,
0.04133761674165726,
0.05078689381480217,
0.03835442289710045,
-0.034242819994688034,
0.05361999198794365,
0.08520469069480896,
0.045565493404865265,
-0.04096349701285362,
0.030233779922127724,
0.0013805084163323045,
-0.06628891080617905,
0.06301455199718475,
0.03690009191632271,
0.05388814955949783,
-0.07072018086910248,
-0.041134875267744064,
-0.02500290609896183,
0.040474917739629745,
0.04881361126899719,
-0.0013732900843024254,
-0.032360516488552094,
0.11000652611255646,
0.022532610222697258,
0.11081251502037048,
-0.007060586009174585,
-0.04618265479803085,
0.005058275535702705,
-0.04260062426328659,
0.06263670325279236,
-0.032411523163318634,
0.005471627227962017,
0.05526008829474449,
0.01641354151070118,
0.009017884731292725,
0.005592158064246178,
-0.119663767516613,
-0.08657700568437576,
-0.013164755888283253,
-0.08077719807624817,
-0.037580229341983795,
-0.0142622459679842,
0.06233193352818489,
0.0486115999519825,
0.024415986612439156,
0.05798681825399399,
0.04156119376420975,
-0.0705593004822731,
-0.01199500635266304,
0.05557660385966301,
0.02994707226753235,
0.02725943736732006,
0.02282474935054779,
-0.011535159312188625,
0.09841855615377426,
-0.06780174374580383,
0.009744185954332352,
0.023630963638424873,
-0.01113878283649683,
0.047460101544857025,
0.14583326876163483,
-0.05297160893678665,
-0.04534557834267616,
-0.0038447370752692223,
-0.036180660128593445,
-0.093912772834301,
0.04785791411995888,
-0.03453964740037918,
-0.03474705293774605,
-0.029847003519535065,
0.018859785050153732,
0.011103914119303226,
-0.0060456255450844765,
0.01661999523639679,
-0.12961356341838837,
-0.02881099283695221,
0.004185867961496115,
0.02027139998972416,
0.014123770408332348,
-0.07211773842573166,
-4.360783023571457e-8,
-0.020180614665150642,
-0.08481048792600632,
0.009098643437027931,
0.0035769660025835037,
0.11155131459236145,
-0.02554897405207157,
-0.00866442546248436,
-0.08227812498807907,
0.02527615800499916,
-0.025810355320572853,
-0.016390692442655563,
-0.022993510589003563,
0.03257374465465546,
0.06423227488994598,
-0.04746510088443756,
-0.05600351840257645,
-0.06840454787015915,
-0.0654010996222496,
0.0027624168433248997,
-0.0604206882417202,
-0.02102792076766491,
0.003659577341750264,
0.010597476735711098,
0.03536676988005638,
-0.028611158952116966,
0.030962899327278137,
0.09943827241659164,
-0.02640150673687458,
0.00809871032834053,
-0.01561752613633871,
-0.0008320700726471841,
0.016542326658964157,
-0.049430523067712784,
0.0825754851102829,
0.0030290710274130106,
-0.03745787590742111,
-0.022363534197211266,
0.0165402851998806,
-0.028892287984490395,
-0.0017007692949846387,
0.022744931280612946,
-0.06280754506587982,
0.009160852991044521,
0.008487344719469547,
0.027437154203653336,
0.06320714950561523,
-0.03396464139223099,
-0.05727546289563179,
0.02267102338373661,
-0.013943750411272049,
0.05445822700858116,
0.08633548021316528,
-0.009005304425954819,
-0.02466120384633541,
-0.030713872984051704,
-0.04024861380457878,
0.0965324193239212,
-0.028424272313714027,
-0.0076148128136992455,
-0.04992896690964699,
-0.0648350715637207,
0.08832595497369766,
-0.06489906460046768,
0.010373272933065891
] |
1401.7860
|
Gayane Panina Mrs
|
Gaiane Panina, Dirk Siersma
|
Motion planning and control of a planar polygonal linkage
|
to appear in J. Symb. Comp
|
Journal of Synbolic Computation 88 (2018) 5-20
|
10.1016/j.jsc.2018.02.002
| null |
math.MG cs.RO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a polygonal linkage, we produce a fast navigation algorithm on its
configuration space. The basic idea is to approximate the configuration space
by the vertex-edge graph of its cell decomposition discovered by the first
author. The algorithm has three aspects: (1) the number of navigation steps
does not exceed 15 (independent of the linkage), (2) each step is a disguised
flex of a quadrilateral from one triangular configuration to another, which is
a well understood type of flex, and (3) each step can be performed explicitly
by adding some extra bars and obtaining a mechanism with one degree of freedom.
|
[
{
"created": "Thu, 30 Jan 2014 14:35:43 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Mar 2016 13:24:14 GMT",
"version": "v2"
}
] |
2018-04-05
|
[
[
"Panina",
"Gaiane",
""
],
[
"Siersma",
"Dirk",
""
]
] |
[
0.04402780532836914,
-0.0005519259138964117,
-0.033357810229063034,
-0.07702121883630753,
-0.025449296459555626,
-0.05464238300919533,
-0.058477986603975296,
-0.007988231256604195,
-0.03604872152209282,
0.029434071853756905,
0.01626334711909294,
0.04217943176627159,
0.017343981191515923,
-0.013803337700664997,
-0.06173839420080185,
0.05146017298102379,
-0.03903357684612274,
0.06004135683178902,
-0.01669255457818508,
-0.0075964005663990974,
-0.0028258247766643763,
-0.09595155715942383,
-0.009896397590637207,
-0.11063524335622787,
0.00674727838486433,
0.02611359767615795,
0.03974077105522156,
0.010739427991211414,
0.029119011014699936,
-0.07076006382703781,
0.02649187669157982,
0.0713403970003128,
-0.055543407797813416,
-0.04256708547472954,
-0.018602143973112106,
-0.008106261491775513,
-0.01070605032145977,
-0.010585150681436062,
0.05081940069794655,
0.07736633718013763,
0.024143246933817863,
0.10079130530357361,
0.07542078197002411,
0.03226383030414581,
0.005796217825263739,
0.07831792533397675,
-0.06678958982229233,
0.03557059168815613,
0.02411116473376751,
-0.014455287717282772,
-0.10409178584814072,
-0.018184656277298927,
0.01050175167620182,
-0.03912825137376785,
-0.005130390170961618,
0.02261567860841751,
-0.046299777925014496,
-0.029258156195282936,
0.07942087203264236,
0.02276337519288063,
0.18504613637924194,
0.0006418463890440762,
0.014930110424757004,
-0.02768673002719879,
-0.03968070447444916,
0.028556881472468376,
-0.017901651561260223,
0.00401287991553545,
-0.018861249089241028,
0.03389311954379082,
-0.0237102247774601,
-0.016754116863012314,
0.047261398285627365,
0.033003561198711395,
-0.0031263106502592564,
-0.04121871665120125,
0.02678845264017582,
0.027282411232590675,
-0.01348238717764616,
-0.05342785641551018,
-0.024112118408083916,
0.028273317962884903,
-0.015290413983166218,
0.04146309942007065,
-0.011990844272077084,
0.02365666814148426,
-0.08766217529773712,
0.021933916956186295,
0.03428606688976288,
0.022428926080465317,
0.026730526238679886,
-0.03300648182630539,
-0.013298003934323788,
-0.10171663016080856,
-0.038194168359041214,
-0.013783985748887062,
-0.0035928678698837757,
-0.03412384167313576,
0.019694341346621513,
0.012859153561294079,
0.01854311116039753,
-0.006924111861735582,
0.08296775072813034,
-0.003465361660346389,
0.019129378721117973,
0.0029240697622299194,
0.03361126035451889,
0.06715243309736252,
0.013909178785979748,
0.017576290294528008,
-0.04714181646704674,
0.011944388039410114,
0.0028162922244518995,
0.009510383009910583,
-0.0852760300040245,
-0.030372971668839455,
-0.05002202093601227,
-0.03292876482009888,
0.1620180904865265,
0.08792230486869812,
-0.01283071655780077,
-0.011807580478489399,
0.08093557506799698,
0.06381497532129288,
0.034999605268239975,
0.007530585862696171,
-0.06237724423408508,
2.1703774843895845e-33,
-0.028326325118541718,
0.08108864724636078,
-0.0071069709956645966,
-0.03893928602337837,
0.05517816171050072,
-0.002825002884492278,
-0.004123913124203682,
-0.09055083245038986,
0.0431271530687809,
0.06890803575515747,
-0.11783807724714279,
-0.00884093064814806,
0.005990713834762573,
0.05761743709445,
0.09966512024402618,
-0.058181870728731155,
-0.01994219422340393,
-0.012237749062478542,
-0.11798363924026489,
-0.07361598312854767,
0.04385435953736305,
0.018375778570771217,
0.04513663798570633,
-0.05280717462301254,
0.038677774369716644,
0.02972763031721115,
-0.0140429912135005,
-0.014234577305614948,
0.010526242665946484,
0.02036794275045395,
-0.09015369415283203,
0.016735155135393143,
-0.1134781464934349,
0.05495075881481171,
0.0207215603441,
0.012809807434678078,
-0.016280630603432655,
-0.06496837735176086,
-0.00676927762106061,
0.020433491095900536,
-0.015389963053166866,
-0.030099866911768913,
0.04223249852657318,
-0.06428354978561401,
-0.033511992543935776,
0.048009298741817474,
0.007272445596754551,
0.051281388849020004,
0.012423313222825527,
-0.005600797012448311,
0.0022847263608127832,
0.05700519308447838,
-0.044536035507917404,
-0.05198592692613602,
-0.025147072970867157,
-0.06448104232549667,
-0.08390489220619202,
-0.012741882354021072,
0.02076384611427784,
0.1611594706773758,
-0.00515793077647686,
-0.07791877537965775,
0.007198922336101532,
0.03791258856654167,
-0.004910866264253855,
-0.013812808319926262,
-0.017700130119919777,
-0.016575681045651436,
0.11860846728086472,
-0.046636223793029785,
-0.08060560375452042,
-0.07004720717668533,
0.07224944978952408,
-0.03611117973923683,
0.023246686905622482,
0.018004966899752617,
-0.10361303389072418,
-0.07319992035627365,
-0.007747646886855364,
-0.05480146035552025,
-0.09128762781620026,
0.011894955299794674,
0.0005129887722432613,
-0.011462396942079067,
0.10210653394460678,
-0.0686941146850586,
0.010382217355072498,
0.026048414409160614,
-0.0724843442440033,
-0.0369693860411644,
-0.08061361312866211,
-0.05482257157564163,
0.0072330450639128685,
0.06171214208006859,
0.07195650786161423,
-3.319636821682434e-33,
0.03162022680044174,
-0.018414344638586044,
0.10886333882808685,
-0.00227567320689559,
-0.029327303171157837,
-0.06773732602596283,
0.007467636838555336,
-0.052886225283145905,
-0.014076070860028267,
0.02494637481868267,
-0.038935109972953796,
0.08368413150310516,
0.06105223670601845,
0.016219431534409523,
0.016426891088485718,
0.01329146046191454,
0.06643708050251007,
-0.0327519066631794,
-0.061540525406599045,
-0.05026889592409134,
0.015032153576612473,
0.005107422359287739,
0.0073752254247665405,
-0.0072487429715693,
0.03882533684372902,
0.03476512059569359,
0.06375250220298767,
-0.01853214018046856,
-0.0006778997485525906,
0.08387823402881622,
-0.06294596195220947,
0.01610971800982952,
-0.00469884742051363,
-0.001133051817305386,
0.04246702417731285,
-0.029643237590789795,
-0.04670911654829979,
0.051940761506557465,
0.06401941180229187,
-0.027145905420184135,
0.04785116761922836,
0.03217807039618492,
-0.04392880201339722,
0.0064095971174538136,
0.08280189335346222,
0.12263098359107971,
-0.02346540428698063,
0.005410806741565466,
-0.13532549142837524,
0.02536010928452015,
-0.04468962550163269,
0.04069342836737633,
0.021269390359520912,
-0.08532059192657471,
0.05837772414088249,
0.012439570389688015,
-0.08020149171352386,
0.04818854480981827,
-0.020520545542240143,
-0.03957228735089302,
-0.01740654557943344,
-0.06351502239704132,
0.0057317460887134075,
0.0735723227262497,
0.05769037827849388,
0.06194129213690758,
0.04211015999317169,
-0.08263355493545532,
-0.09137297421693802,
0.10219888389110565,
0.04234940558671951,
-0.007219639141112566,
-0.030691063031554222,
0.03289126604795456,
-0.007773797959089279,
-0.04228232800960541,
0.04525930434465408,
0.05089951679110527,
0.04648689925670624,
-0.01511760801076889,
-0.029318280518054962,
-0.05877212435007095,
-0.021033288910984993,
-0.033301807940006256,
-0.015201134607195854,
0.004135532770305872,
-0.015870198607444763,
0.03978030011057854,
0.04211676865816116,
0.029482489451766014,
0.08018343895673752,
-0.04489346221089363,
0.04180780053138733,
0.030484065413475037,
-0.03819272667169571,
-5.011996506709693e-8,
-0.02678689733147621,
0.015033295378088951,
-0.027943741530179977,
-0.07402822375297546,
0.053430236876010895,
0.05471998080611229,
0.04754997417330742,
0.099726602435112,
-0.04398607090115547,
-0.005872288718819618,
0.05842483043670654,
0.01591629348695278,
-0.06242479383945465,
0.09787791222333908,
-0.04306747391819954,
0.01604323834180832,
0.006121211219578981,
-0.06206352636218071,
-0.00971906166523695,
-0.044331662356853485,
-0.0853000357747078,
0.0016496331663802266,
0.029909491539001465,
0.1384192705154419,
-0.002011036965996027,
-0.008689687587320805,
-0.07649976760149002,
-0.050572317093610764,
0.08547330647706985,
-0.02016950584948063,
-0.016477782279253006,
0.03541325032711029,
0.04492232948541641,
0.06765826046466827,
-0.07508701831102371,
0.06196906790137291,
0.014339684508740902,
0.018745411187410355,
0.0159167367964983,
-0.04492735117673874,
0.018546856939792633,
0.05002282187342644,
0.0477733351290226,
-0.07221175730228424,
0.05464259907603264,
0.046114757657051086,
0.0755128264427185,
0.016794217750430107,
-0.016333341598510742,
-0.06520181894302368,
-0.08290041983127594,
0.0502181276679039,
-0.0483684316277504,
-0.06741700321435928,
-0.03556210920214653,
0.04258261248469353,
-0.051296260207891464,
-0.09095840156078339,
0.0608685240149498,
-0.029421092942357063,
-0.022973239421844482,
0.027454786002635956,
-0.04642001539468765,
-0.07467129826545715
] | null | null | null | null | null | null | null |
[
0.04402780532836914,
-0.0005519259138964117,
-0.033357810229063034,
-0.07702121883630753,
-0.025449296459555626,
-0.05464238300919533,
-0.058477986603975296,
-0.007988231256604195,
-0.03604872152209282,
0.029434071853756905,
0.01626334711909294,
0.04217943176627159,
0.017343981191515923,
-0.013803337700664997,
-0.06173839420080185,
0.05146017298102379,
-0.03903357684612274,
0.06004135683178902,
-0.01669255457818508,
-0.0075964005663990974,
-0.0028258247766643763,
-0.09595155715942383,
-0.009896397590637207,
-0.11063524335622787,
0.00674727838486433,
0.02611359767615795,
0.03974077105522156,
0.010739427991211414,
0.029119011014699936,
-0.07076006382703781,
0.02649187669157982,
0.0713403970003128,
-0.055543407797813416,
-0.04256708547472954,
-0.018602143973112106,
-0.008106261491775513,
-0.01070605032145977,
-0.010585150681436062,
0.05081940069794655,
0.07736633718013763,
0.024143246933817863,
0.10079130530357361,
0.07542078197002411,
0.03226383030414581,
0.005796217825263739,
0.07831792533397675,
-0.06678958982229233,
0.03557059168815613,
0.02411116473376751,
-0.014455287717282772,
-0.10409178584814072,
-0.018184656277298927,
0.01050175167620182,
-0.03912825137376785,
-0.005130390170961618,
0.02261567860841751,
-0.046299777925014496,
-0.029258156195282936,
0.07942087203264236,
0.02276337519288063,
0.18504613637924194,
0.0006418463890440762,
0.014930110424757004,
-0.02768673002719879,
-0.03968070447444916,
0.028556881472468376,
-0.017901651561260223,
0.00401287991553545,
-0.018861249089241028,
0.03389311954379082,
-0.0237102247774601,
-0.016754116863012314,
0.047261398285627365,
0.033003561198711395,
-0.0031263106502592564,
-0.04121871665120125,
0.02678845264017582,
0.027282411232590675,
-0.01348238717764616,
-0.05342785641551018,
-0.024112118408083916,
0.028273317962884903,
-0.015290413983166218,
0.04146309942007065,
-0.011990844272077084,
0.02365666814148426,
-0.08766217529773712,
0.021933916956186295,
0.03428606688976288,
0.022428926080465317,
0.026730526238679886,
-0.03300648182630539,
-0.013298003934323788,
-0.10171663016080856,
-0.038194168359041214,
-0.013783985748887062,
-0.0035928678698837757,
-0.03412384167313576,
0.019694341346621513,
0.012859153561294079,
0.01854311116039753,
-0.006924111861735582,
0.08296775072813034,
-0.003465361660346389,
0.019129378721117973,
0.0029240697622299194,
0.03361126035451889,
0.06715243309736252,
0.013909178785979748,
0.017576290294528008,
-0.04714181646704674,
0.011944388039410114,
0.0028162922244518995,
0.009510383009910583,
-0.0852760300040245,
-0.030372971668839455,
-0.05002202093601227,
-0.03292876482009888,
0.1620180904865265,
0.08792230486869812,
-0.01283071655780077,
-0.011807580478489399,
0.08093557506799698,
0.06381497532129288,
0.034999605268239975,
0.007530585862696171,
-0.06237724423408508,
2.1703774843895845e-33,
-0.028326325118541718,
0.08108864724636078,
-0.0071069709956645966,
-0.03893928602337837,
0.05517816171050072,
-0.002825002884492278,
-0.004123913124203682,
-0.09055083245038986,
0.0431271530687809,
0.06890803575515747,
-0.11783807724714279,
-0.00884093064814806,
0.005990713834762573,
0.05761743709445,
0.09966512024402618,
-0.058181870728731155,
-0.01994219422340393,
-0.012237749062478542,
-0.11798363924026489,
-0.07361598312854767,
0.04385435953736305,
0.018375778570771217,
0.04513663798570633,
-0.05280717462301254,
0.038677774369716644,
0.02972763031721115,
-0.0140429912135005,
-0.014234577305614948,
0.010526242665946484,
0.02036794275045395,
-0.09015369415283203,
0.016735155135393143,
-0.1134781464934349,
0.05495075881481171,
0.0207215603441,
0.012809807434678078,
-0.016280630603432655,
-0.06496837735176086,
-0.00676927762106061,
0.020433491095900536,
-0.015389963053166866,
-0.030099866911768913,
0.04223249852657318,
-0.06428354978561401,
-0.033511992543935776,
0.048009298741817474,
0.007272445596754551,
0.051281388849020004,
0.012423313222825527,
-0.005600797012448311,
0.0022847263608127832,
0.05700519308447838,
-0.044536035507917404,
-0.05198592692613602,
-0.025147072970867157,
-0.06448104232549667,
-0.08390489220619202,
-0.012741882354021072,
0.02076384611427784,
0.1611594706773758,
-0.00515793077647686,
-0.07791877537965775,
0.007198922336101532,
0.03791258856654167,
-0.004910866264253855,
-0.013812808319926262,
-0.017700130119919777,
-0.016575681045651436,
0.11860846728086472,
-0.046636223793029785,
-0.08060560375452042,
-0.07004720717668533,
0.07224944978952408,
-0.03611117973923683,
0.023246686905622482,
0.018004966899752617,
-0.10361303389072418,
-0.07319992035627365,
-0.007747646886855364,
-0.05480146035552025,
-0.09128762781620026,
0.011894955299794674,
0.0005129887722432613,
-0.011462396942079067,
0.10210653394460678,
-0.0686941146850586,
0.010382217355072498,
0.026048414409160614,
-0.0724843442440033,
-0.0369693860411644,
-0.08061361312866211,
-0.05482257157564163,
0.0072330450639128685,
0.06171214208006859,
0.07195650786161423,
-3.319636821682434e-33,
0.03162022680044174,
-0.018414344638586044,
0.10886333882808685,
-0.00227567320689559,
-0.029327303171157837,
-0.06773732602596283,
0.007467636838555336,
-0.052886225283145905,
-0.014076070860028267,
0.02494637481868267,
-0.038935109972953796,
0.08368413150310516,
0.06105223670601845,
0.016219431534409523,
0.016426891088485718,
0.01329146046191454,
0.06643708050251007,
-0.0327519066631794,
-0.061540525406599045,
-0.05026889592409134,
0.015032153576612473,
0.005107422359287739,
0.0073752254247665405,
-0.0072487429715693,
0.03882533684372902,
0.03476512059569359,
0.06375250220298767,
-0.01853214018046856,
-0.0006778997485525906,
0.08387823402881622,
-0.06294596195220947,
0.01610971800982952,
-0.00469884742051363,
-0.001133051817305386,
0.04246702417731285,
-0.029643237590789795,
-0.04670911654829979,
0.051940761506557465,
0.06401941180229187,
-0.027145905420184135,
0.04785116761922836,
0.03217807039618492,
-0.04392880201339722,
0.0064095971174538136,
0.08280189335346222,
0.12263098359107971,
-0.02346540428698063,
0.005410806741565466,
-0.13532549142837524,
0.02536010928452015,
-0.04468962550163269,
0.04069342836737633,
0.021269390359520912,
-0.08532059192657471,
0.05837772414088249,
0.012439570389688015,
-0.08020149171352386,
0.04818854480981827,
-0.020520545542240143,
-0.03957228735089302,
-0.01740654557943344,
-0.06351502239704132,
0.0057317460887134075,
0.0735723227262497,
0.05769037827849388,
0.06194129213690758,
0.04211015999317169,
-0.08263355493545532,
-0.09137297421693802,
0.10219888389110565,
0.04234940558671951,
-0.007219639141112566,
-0.030691063031554222,
0.03289126604795456,
-0.007773797959089279,
-0.04228232800960541,
0.04525930434465408,
0.05089951679110527,
0.04648689925670624,
-0.01511760801076889,
-0.029318280518054962,
-0.05877212435007095,
-0.021033288910984993,
-0.033301807940006256,
-0.015201134607195854,
0.004135532770305872,
-0.015870198607444763,
0.03978030011057854,
0.04211676865816116,
0.029482489451766014,
0.08018343895673752,
-0.04489346221089363,
0.04180780053138733,
0.030484065413475037,
-0.03819272667169571,
-5.011996506709693e-8,
-0.02678689733147621,
0.015033295378088951,
-0.027943741530179977,
-0.07402822375297546,
0.053430236876010895,
0.05471998080611229,
0.04754997417330742,
0.099726602435112,
-0.04398607090115547,
-0.005872288718819618,
0.05842483043670654,
0.01591629348695278,
-0.06242479383945465,
0.09787791222333908,
-0.04306747391819954,
0.01604323834180832,
0.006121211219578981,
-0.06206352636218071,
-0.00971906166523695,
-0.044331662356853485,
-0.0853000357747078,
0.0016496331663802266,
0.029909491539001465,
0.1384192705154419,
-0.002011036965996027,
-0.008689687587320805,
-0.07649976760149002,
-0.050572317093610764,
0.08547330647706985,
-0.02016950584948063,
-0.016477782279253006,
0.03541325032711029,
0.04492232948541641,
0.06765826046466827,
-0.07508701831102371,
0.06196906790137291,
0.014339684508740902,
0.018745411187410355,
0.0159167367964983,
-0.04492735117673874,
0.018546856939792633,
0.05002282187342644,
0.0477733351290226,
-0.07221175730228424,
0.05464259907603264,
0.046114757657051086,
0.0755128264427185,
0.016794217750430107,
-0.016333341598510742,
-0.06520181894302368,
-0.08290041983127594,
0.0502181276679039,
-0.0483684316277504,
-0.06741700321435928,
-0.03556210920214653,
0.04258261248469353,
-0.051296260207891464,
-0.09095840156078339,
0.0608685240149498,
-0.029421092942357063,
-0.022973239421844482,
0.027454786002635956,
-0.04642001539468765,
-0.07467129826545715
] |
1401.7872
|
Ismael Rafols
|
Ismael Rafols, Harry K. MacWilliams, Yasuo Maeda and Yasuji Sawada
|
On the conflict between precision and robustness in the proportion
regulation of cell types
|
This was a pre-print of January 2001 that was never published. The
study was part of the PhD thesis of Ismael Rafols
| null | null | null |
physics.bio-ph q-bio.CB
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Dictyostelium discoideum the proportion of cell types is known to be
actively regulated, recovering, for example, after the removal of a given cell
type. However, we have recently shown that regulation is intrinsically
imprecise: it controls the proportion above/below certain upper and lower
thresholds, but not within an allowed range of values that these thresholds
define. To explain this finding we present a model based on (i) a global
negative feedback, and (ii) a cell-autonomous positive feedback leading to a
hysteresis-like behaviour (i.e, a bistability of cell type). The simulated
cell-type proportion is indeed found to span a range of values as a consequence
of the bistability. We conclude that there is a general conflict between the
precision of proportion regulation and the robustness of the differentiation of
cell types.
|
[
{
"created": "Thu, 30 Jan 2014 15:02:42 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Rafols",
"Ismael",
""
],
[
"MacWilliams",
"Harry K.",
""
],
[
"Maeda",
"Yasuo",
""
],
[
"Sawada",
"Yasuji",
""
]
] |
[
0.013400656171143055,
-0.06042058765888214,
-0.03314987197518349,
0.010127946734428406,
-0.00689732888713479,
-0.07342078536748886,
0.020921839401125908,
0.06100082769989967,
0.06545611470937729,
-0.011966790072619915,
0.02802058681845665,
-0.010812991298735142,
-0.002746831625699997,
0.05356240272521973,
-0.0370466411113739,
-0.046052753925323486,
0.040734343230724335,
0.058893926441669464,
-0.09247281402349472,
0.01891201362013817,
0.05750394985079765,
-0.01633334904909134,
0.028253620490431786,
0.04868665337562561,
-0.022691426798701286,
-0.07835552841424942,
-0.0651295855641365,
0.05878924950957298,
-0.03882946819067001,
-0.1322954297065735,
-0.06158481910824776,
0.04376522824168205,
0.06219979003071785,
-0.04341070353984833,
-0.021560216322541237,
0.017650574445724487,
-0.09876172244548798,
-0.05422856658697128,
0.011697239242494106,
-0.02719479613006115,
0.05986562743782997,
0.08870168030261993,
-0.05152197927236557,
0.029886899515986443,
0.018730800598859787,
-0.008511529304087162,
0.03434915840625763,
-0.03733282536268234,
-0.06632563471794128,
-0.01006468664854765,
-0.0005113933584652841,
0.017406711354851723,
0.0240362249314785,
0.10181977599859238,
-0.04045335203409195,
0.04659389331936836,
0.0013673114590346813,
0.09505773335695267,
0.09243661910295486,
-0.10330069065093994,
0.023716729134321213,
-0.027370072901248932,
-0.0185861736536026,
-0.060694754123687744,
0.03682713583111763,
0.02161550149321556,
-0.07946484535932541,
-0.08253289759159088,
-0.022959228605031967,
0.038932640105485916,
0.02920890972018242,
-0.016235075891017914,
0.0479404516518116,
-0.03495163097977638,
0.10679582506418228,
0.04767410457134247,
-0.05694642290472984,
0.1327843964099884,
0.021847978234291077,
0.04905823618173599,
0.01625222899019718,
-0.04161328077316284,
0.03177913650870323,
0.003396842861548066,
-0.023489341139793396,
-0.03189407289028168,
0.04568704590201378,
0.006309842225164175,
0.07569006830453873,
-0.03849177062511444,
0.03606971353292465,
0.09483668953180313,
0.02296881191432476,
-0.022999469190835953,
-0.06502985209226608,
-0.04541619494557381,
0.06054818630218506,
-0.026043105870485306,
0.02407706342637539,
0.014141172170639038,
0.024688368663191795,
0.021873723715543747,
-0.005445039365440607,
0.05800113454461098,
0.005038474686443806,
-0.044516947120428085,
0.05446517840027809,
0.009415976703166962,
-0.014889461919665337,
0.05025835335254669,
-0.014717069454491138,
-0.00007985269621713087,
0.04553987830877304,
0.11611742526292801,
0.009508691728115082,
-0.011237561702728271,
0.0021061706356704235,
-0.031527332961559296,
0.10572458803653717,
-0.052636124193668365,
0.027172889560461044,
-0.09309470653533936,
-0.03132142871618271,
-0.009985179640352726,
0.028416603803634644,
0.11359982937574387,
-0.09418053925037384,
-1.2427714741041972e-33,
0.0003128636453766376,
-0.05900365486741066,
0.0006485065678134561,
0.06301382929086685,
0.02945362962782383,
-0.06867870688438416,
-0.04407401755452156,
-0.08564385026693344,
-0.02272813208401203,
-0.019922954961657524,
-0.08335192501544952,
0.031201161444187164,
-0.0265277698636055,
0.058140479028224945,
0.007834373973309994,
-0.0329725481569767,
0.0020418441854417324,
-0.044354889541864395,
-0.008670693263411522,
0.03211450204253197,
-0.010541821829974651,
0.026146844029426575,
-0.08170776069164276,
-0.05536017566919327,
0.01679381914436817,
-0.014415967278182507,
-0.026705637574195862,
0.051445454359054565,
-0.030397579073905945,
-0.005841681733727455,
-0.045725930482149124,
0.01140117272734642,
-0.020348815247416496,
0.02606884576380253,
-0.027445165440440178,
0.08909661322832108,
0.02254672534763813,
-0.03568153828382492,
0.01217211689800024,
-0.03979136049747467,
-0.05652444064617157,
0.051245927810668945,
0.043814767152071,
-0.05903100594878197,
0.04369615763425827,
-0.006234057247638702,
0.11914532631635666,
0.019609913229942322,
-0.1105990931391716,
-0.003341466886922717,
0.03860324248671532,
0.004235359374433756,
0.037816472351551056,
-0.11199311167001724,
-0.026880891993641853,
0.0313028022646904,
0.0033035024534910917,
0.018815822899341583,
-0.04174649342894554,
0.1075335443019867,
-0.011114411056041718,
0.023101259022951126,
0.01939738728106022,
0.010434219613671303,
-0.03808547556400299,
0.17037691175937653,
-0.16584987938404083,
-0.047930922359228134,
0.014107441529631615,
0.00870753638446331,
-0.056728143244981766,
0.009223079308867455,
-0.02829260565340519,
-0.06207149103283882,
-0.007283839862793684,
0.013208144344389439,
0.02942599728703499,
-0.044016432017087936,
-0.04223625734448433,
-0.038827937096357346,
0.09401867538690567,
-0.06189626082777977,
-0.04763521999120712,
0.016165927052497864,
-0.07852891087532043,
-0.08683756738901138,
-0.0018006650498136878,
-0.037282418459653854,
-0.06106986477971077,
0.012008673511445522,
0.050797950476408005,
-0.03390597552061081,
0.0566786527633667,
0.07443387806415558,
0.009261861443519592,
-1.9457122286146287e-34,
-0.002461825730279088,
-0.05181993916630745,
0.012405699118971825,
-0.01184250321239233,
-0.03677845746278763,
0.10089003294706345,
-0.033332210034132004,
0.011684373021125793,
0.0701485127210617,
-0.038746509701013565,
0.049869026988744736,
0.03730813041329384,
-0.024596238508820534,
0.039222896099090576,
-0.08792328089475632,
0.013986015692353249,
-0.03283785656094551,
0.009631919674575329,
0.031460538506507874,
0.0025574464816600084,
-0.04066379740834236,
0.0687406063079834,
-0.018134156242012978,
0.008893138729035854,
-0.0778965875506401,
0.070437952876091,
-0.07803937047719955,
0.058742012828588486,
0.03328399732708931,
-0.025760499760508537,
-0.12346988916397095,
0.011002054437994957,
-0.02694855071604252,
0.02811744436621666,
0.038043588399887085,
-0.07042032480239868,
-0.06794273108243942,
0.016982894390821457,
0.05530349165201187,
-0.026500675827264786,
-0.045300863683223724,
0.0013546558329835534,
0.0012148572131991386,
0.09603293240070343,
0.10587235540151596,
0.013622657395899296,
0.08911258727312088,
0.085691437125206,
-0.016735559329390526,
0.0809633657336235,
-0.05912856385111809,
-0.03976811468601227,
0.011343056336045265,
0.06463345885276794,
-0.02192581444978714,
0.04472348093986511,
0.04726867005228996,
-0.039320241659879684,
-0.01789081282913685,
0.00905593577772379,
-0.11375138908624649,
-0.044124115258455276,
-0.014567303471267223,
-0.018798919394612312,
-0.001452383236028254,
0.019101884216070175,
-0.0818934291601181,
-0.023451965302228928,
0.083552286028862,
0.04694702476263046,
0.08547207713127136,
0.08155351877212524,
0.03432731330394745,
-0.0799638032913208,
-0.010418609715998173,
0.0024977591820061207,
-0.050487350672483444,
-0.08938129991292953,
-0.015351474285125732,
0.0215434767305851,
-0.04586617276072502,
0.0953005701303482,
-0.013330699875950813,
-0.08172386884689331,
0.004762841388583183,
-0.022285334765911102,
-0.055617477744817734,
0.007241200190037489,
0.003994156140834093,
-0.005127567332237959,
0.05320274084806442,
-0.11620543152093887,
0.031202608719468117,
-0.007003515027463436,
0.043530020862817764,
-4.7846327788647613e-8,
0.03992101550102234,
0.04379506781697273,
-0.05657121166586876,
-0.016932429745793343,
0.0022879289463162422,
0.00425059674307704,
0.05178733915090561,
-0.04799935594201088,
0.04981550574302673,
0.033404819667339325,
0.024662934243679047,
0.05548268184065819,
-0.01902085728943348,
-0.021486937999725342,
0.019100306555628777,
0.13692498207092285,
0.04929381608963013,
0.027259239926934242,
0.026953227818012238,
0.04455968365073204,
0.007651281543076038,
-0.11669813841581345,
-0.02121344581246376,
0.06446702033281326,
0.034397225826978683,
-0.07458298653364182,
-0.021700957790017128,
0.0008341848151758313,
-0.04649608954787254,
-0.016136709600687027,
0.07190772891044617,
-0.02899499051272869,
0.08439725637435913,
0.06161633878946304,
-0.013953844085335732,
0.06939039379358292,
-0.03569630905985832,
0.008834213018417358,
0.03139881417155266,
0.0009352083434350789,
0.014722965657711029,
0.03086264804005623,
-0.05774785578250885,
-0.0065053654834628105,
-0.029647765681147575,
0.011158308945596218,
0.0017305437941104174,
-0.03250409662723541,
0.01563383638858795,
0.03925379738211632,
0.012254432775080204,
0.014258939772844315,
-0.026136623695492744,
-0.020948445424437523,
-0.025004630908370018,
0.01628575660288334,
-0.015267676673829556,
0.015568518079817295,
-0.02642649970948696,
0.060057494789361954,
0.023362377658486366,
0.019437162205576897,
0.018168332055211067,
-0.0783957988023758
] | null | null | null | null | null | null | null |
[
0.013400656171143055,
-0.06042058765888214,
-0.03314987197518349,
0.010127946734428406,
-0.00689732888713479,
-0.07342078536748886,
0.020921839401125908,
0.06100082769989967,
0.06545611470937729,
-0.011966790072619915,
0.02802058681845665,
-0.010812991298735142,
-0.002746831625699997,
0.05356240272521973,
-0.0370466411113739,
-0.046052753925323486,
0.040734343230724335,
0.058893926441669464,
-0.09247281402349472,
0.01891201362013817,
0.05750394985079765,
-0.01633334904909134,
0.028253620490431786,
0.04868665337562561,
-0.022691426798701286,
-0.07835552841424942,
-0.0651295855641365,
0.05878924950957298,
-0.03882946819067001,
-0.1322954297065735,
-0.06158481910824776,
0.04376522824168205,
0.06219979003071785,
-0.04341070353984833,
-0.021560216322541237,
0.017650574445724487,
-0.09876172244548798,
-0.05422856658697128,
0.011697239242494106,
-0.02719479613006115,
0.05986562743782997,
0.08870168030261993,
-0.05152197927236557,
0.029886899515986443,
0.018730800598859787,
-0.008511529304087162,
0.03434915840625763,
-0.03733282536268234,
-0.06632563471794128,
-0.01006468664854765,
-0.0005113933584652841,
0.017406711354851723,
0.0240362249314785,
0.10181977599859238,
-0.04045335203409195,
0.04659389331936836,
0.0013673114590346813,
0.09505773335695267,
0.09243661910295486,
-0.10330069065093994,
0.023716729134321213,
-0.027370072901248932,
-0.0185861736536026,
-0.060694754123687744,
0.03682713583111763,
0.02161550149321556,
-0.07946484535932541,
-0.08253289759159088,
-0.022959228605031967,
0.038932640105485916,
0.02920890972018242,
-0.016235075891017914,
0.0479404516518116,
-0.03495163097977638,
0.10679582506418228,
0.04767410457134247,
-0.05694642290472984,
0.1327843964099884,
0.021847978234291077,
0.04905823618173599,
0.01625222899019718,
-0.04161328077316284,
0.03177913650870323,
0.003396842861548066,
-0.023489341139793396,
-0.03189407289028168,
0.04568704590201378,
0.006309842225164175,
0.07569006830453873,
-0.03849177062511444,
0.03606971353292465,
0.09483668953180313,
0.02296881191432476,
-0.022999469190835953,
-0.06502985209226608,
-0.04541619494557381,
0.06054818630218506,
-0.026043105870485306,
0.02407706342637539,
0.014141172170639038,
0.024688368663191795,
0.021873723715543747,
-0.005445039365440607,
0.05800113454461098,
0.005038474686443806,
-0.044516947120428085,
0.05446517840027809,
0.009415976703166962,
-0.014889461919665337,
0.05025835335254669,
-0.014717069454491138,
-0.00007985269621713087,
0.04553987830877304,
0.11611742526292801,
0.009508691728115082,
-0.011237561702728271,
0.0021061706356704235,
-0.031527332961559296,
0.10572458803653717,
-0.052636124193668365,
0.027172889560461044,
-0.09309470653533936,
-0.03132142871618271,
-0.009985179640352726,
0.028416603803634644,
0.11359982937574387,
-0.09418053925037384,
-1.2427714741041972e-33,
0.0003128636453766376,
-0.05900365486741066,
0.0006485065678134561,
0.06301382929086685,
0.02945362962782383,
-0.06867870688438416,
-0.04407401755452156,
-0.08564385026693344,
-0.02272813208401203,
-0.019922954961657524,
-0.08335192501544952,
0.031201161444187164,
-0.0265277698636055,
0.058140479028224945,
0.007834373973309994,
-0.0329725481569767,
0.0020418441854417324,
-0.044354889541864395,
-0.008670693263411522,
0.03211450204253197,
-0.010541821829974651,
0.026146844029426575,
-0.08170776069164276,
-0.05536017566919327,
0.01679381914436817,
-0.014415967278182507,
-0.026705637574195862,
0.051445454359054565,
-0.030397579073905945,
-0.005841681733727455,
-0.045725930482149124,
0.01140117272734642,
-0.020348815247416496,
0.02606884576380253,
-0.027445165440440178,
0.08909661322832108,
0.02254672534763813,
-0.03568153828382492,
0.01217211689800024,
-0.03979136049747467,
-0.05652444064617157,
0.051245927810668945,
0.043814767152071,
-0.05903100594878197,
0.04369615763425827,
-0.006234057247638702,
0.11914532631635666,
0.019609913229942322,
-0.1105990931391716,
-0.003341466886922717,
0.03860324248671532,
0.004235359374433756,
0.037816472351551056,
-0.11199311167001724,
-0.026880891993641853,
0.0313028022646904,
0.0033035024534910917,
0.018815822899341583,
-0.04174649342894554,
0.1075335443019867,
-0.011114411056041718,
0.023101259022951126,
0.01939738728106022,
0.010434219613671303,
-0.03808547556400299,
0.17037691175937653,
-0.16584987938404083,
-0.047930922359228134,
0.014107441529631615,
0.00870753638446331,
-0.056728143244981766,
0.009223079308867455,
-0.02829260565340519,
-0.06207149103283882,
-0.007283839862793684,
0.013208144344389439,
0.02942599728703499,
-0.044016432017087936,
-0.04223625734448433,
-0.038827937096357346,
0.09401867538690567,
-0.06189626082777977,
-0.04763521999120712,
0.016165927052497864,
-0.07852891087532043,
-0.08683756738901138,
-0.0018006650498136878,
-0.037282418459653854,
-0.06106986477971077,
0.012008673511445522,
0.050797950476408005,
-0.03390597552061081,
0.0566786527633667,
0.07443387806415558,
0.009261861443519592,
-1.9457122286146287e-34,
-0.002461825730279088,
-0.05181993916630745,
0.012405699118971825,
-0.01184250321239233,
-0.03677845746278763,
0.10089003294706345,
-0.033332210034132004,
0.011684373021125793,
0.0701485127210617,
-0.038746509701013565,
0.049869026988744736,
0.03730813041329384,
-0.024596238508820534,
0.039222896099090576,
-0.08792328089475632,
0.013986015692353249,
-0.03283785656094551,
0.009631919674575329,
0.031460538506507874,
0.0025574464816600084,
-0.04066379740834236,
0.0687406063079834,
-0.018134156242012978,
0.008893138729035854,
-0.0778965875506401,
0.070437952876091,
-0.07803937047719955,
0.058742012828588486,
0.03328399732708931,
-0.025760499760508537,
-0.12346988916397095,
0.011002054437994957,
-0.02694855071604252,
0.02811744436621666,
0.038043588399887085,
-0.07042032480239868,
-0.06794273108243942,
0.016982894390821457,
0.05530349165201187,
-0.026500675827264786,
-0.045300863683223724,
0.0013546558329835534,
0.0012148572131991386,
0.09603293240070343,
0.10587235540151596,
0.013622657395899296,
0.08911258727312088,
0.085691437125206,
-0.016735559329390526,
0.0809633657336235,
-0.05912856385111809,
-0.03976811468601227,
0.011343056336045265,
0.06463345885276794,
-0.02192581444978714,
0.04472348093986511,
0.04726867005228996,
-0.039320241659879684,
-0.01789081282913685,
0.00905593577772379,
-0.11375138908624649,
-0.044124115258455276,
-0.014567303471267223,
-0.018798919394612312,
-0.001452383236028254,
0.019101884216070175,
-0.0818934291601181,
-0.023451965302228928,
0.083552286028862,
0.04694702476263046,
0.08547207713127136,
0.08155351877212524,
0.03432731330394745,
-0.0799638032913208,
-0.010418609715998173,
0.0024977591820061207,
-0.050487350672483444,
-0.08938129991292953,
-0.015351474285125732,
0.0215434767305851,
-0.04586617276072502,
0.0953005701303482,
-0.013330699875950813,
-0.08172386884689331,
0.004762841388583183,
-0.022285334765911102,
-0.055617477744817734,
0.007241200190037489,
0.003994156140834093,
-0.005127567332237959,
0.05320274084806442,
-0.11620543152093887,
0.031202608719468117,
-0.007003515027463436,
0.043530020862817764,
-4.7846327788647613e-8,
0.03992101550102234,
0.04379506781697273,
-0.05657121166586876,
-0.016932429745793343,
0.0022879289463162422,
0.00425059674307704,
0.05178733915090561,
-0.04799935594201088,
0.04981550574302673,
0.033404819667339325,
0.024662934243679047,
0.05548268184065819,
-0.01902085728943348,
-0.021486937999725342,
0.019100306555628777,
0.13692498207092285,
0.04929381608963013,
0.027259239926934242,
0.026953227818012238,
0.04455968365073204,
0.007651281543076038,
-0.11669813841581345,
-0.02121344581246376,
0.06446702033281326,
0.034397225826978683,
-0.07458298653364182,
-0.021700957790017128,
0.0008341848151758313,
-0.04649608954787254,
-0.016136709600687027,
0.07190772891044617,
-0.02899499051272869,
0.08439725637435913,
0.06161633878946304,
-0.013953844085335732,
0.06939039379358292,
-0.03569630905985832,
0.008834213018417358,
0.03139881417155266,
0.0009352083434350789,
0.014722965657711029,
0.03086264804005623,
-0.05774785578250885,
-0.0065053654834628105,
-0.029647765681147575,
0.011158308945596218,
0.0017305437941104174,
-0.03250409662723541,
0.01563383638858795,
0.03925379738211632,
0.012254432775080204,
0.014258939772844315,
-0.026136623695492744,
-0.020948445424437523,
-0.025004630908370018,
0.01628575660288334,
-0.015267676673829556,
0.015568518079817295,
-0.02642649970948696,
0.060057494789361954,
0.023362377658486366,
0.019437162205576897,
0.018168332055211067,
-0.0783957988023758
] |
1401.7874
|
Stuart Mangles
|
S. M. Hooker, R. Bartolini, S. P. D. Mangles, A. T\"unnermann, L.
Corner, J. Limpert, A. Seryi, R. Walczak
|
Multi-Pulse Laser Wakefield Acceleration: A New Route to Efficient,
High-Repetition-Rate Plasma Accelerators and High Flux Radiation Sources
| null | null |
10.1088/0953-4075/47/23/234003
| null |
physics.acc-ph physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Laser-driven plasma accelerators can generate accelerating gradients three
orders of magnitude larger than radio-frequency accelerators and have achieved
beam energies above 1 GeV in centimetre long stages. However, the pulse
repetition rate and wall-plug efficiency of plasma accelerators is limited by
the driving laser to less than approximately 1 Hz and 0.1% respectively. Here
we investigate the prospects for exciting the plasma wave with trains of
low-energy laser pulses rather than a single high-energy pulse. Resonantly
exciting the wakefield in this way would enable the use of different
technologies, such as fibre or thin-disc lasers, which are able to operate at
multi-kilohertz pulse repetition rates and with wall-plug efficiencies two
orders of magnitude higher than current laser systems. We outline the
parameters of efficient, GeV-scale, 10-kHz plasma accelerators and show that
they could drive compact X-ray sources with average photon fluxes comparable to
those of third-generation light source but with significantly improved temporal
resolution. Likewise FEL operation could be driven with comparable peak power
but with significantly larger repetition rates than extant FELs.
|
[
{
"created": "Thu, 30 Jan 2014 15:13:01 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Hooker",
"S. M.",
""
],
[
"Bartolini",
"R.",
""
],
[
"Mangles",
"S. P. D.",
""
],
[
"Tünnermann",
"A.",
""
],
[
"Corner",
"L.",
""
],
[
"Limpert",
"J.",
""
],
[
"Seryi",
"A.",
""
],
[
"Walczak",
"R.",
""
]
] |
[
-0.040050867944955826,
-0.017184320837259293,
-0.06327193975448608,
0.04572136327624321,
-0.10108112543821335,
-0.06063340604305267,
-0.03966185823082924,
-0.04213929548859596,
-0.06233304738998413,
-0.07481807470321655,
-0.03913823515176773,
0.005719154141843319,
0.03219186142086983,
0.018487775698304176,
0.07769785076379776,
0.014930343255400658,
0.07270931452512741,
-0.04149763658642769,
0.00863904319703579,
0.006478290073573589,
0.021567588672041893,
-0.08833672851324081,
0.054297834634780884,
-0.015999943017959595,
0.04086535423994064,
-0.06187303364276886,
-0.05061905086040497,
-0.09004459530115128,
-0.029780717566609383,
0.00015505119517911226,
0.04156264290213585,
-0.05413789674639702,
-0.04036465287208557,
0.03628390282392502,
0.00526108592748642,
-0.024485796689987183,
0.05705518275499344,
0.008547627367079258,
-0.01741662435233593,
0.06237620860338211,
0.0015856327954679728,
-0.07957901060581207,
-0.020972872152924538,
0.03430137783288956,
0.004021469037979841,
-0.035052694380283356,
0.023925315588712692,
-0.146395742893219,
-0.07024383544921875,
0.07200668752193451,
-0.033938217908144,
-0.0048471963964402676,
-0.01344284787774086,
-0.04109871760010719,
0.0420587882399559,
0.02277832105755806,
-0.05135289952158928,
0.031284380704164505,
-0.012843811884522438,
-0.005421730224043131,
-0.0260850228369236,
-0.06112994998693466,
0.003184761619195342,
-0.032329853624105453,
-0.049051135778427124,
-0.08817242830991745,
0.018371619284152985,
-0.0041147395968437195,
-0.0055810860358178616,
0.02473403327167034,
-0.01150989718735218,
-0.03433448448777199,
-0.010921573266386986,
0.018073461949825287,
-0.03777817264199257,
-0.026723206043243408,
0.06625311076641083,
0.04207704961299896,
-0.0022192473988980055,
0.05826408416032791,
-0.01338579785078764,
0.03463020548224449,
-0.09997349232435226,
0.03304428979754448,
-0.05228622257709503,
0.057216059416532516,
0.023804621770977974,
0.028254540637135506,
-0.060216329991817474,
-0.008667363785207272,
-0.0017833724850788713,
-0.0458126962184906,
0.032962121069431305,
-0.019613979384303093,
0.034541238099336624,
0.014759712852537632,
0.0016489551635459065,
-0.048556774854660034,
0.008238778449594975,
-0.023231158033013344,
0.055840205401182175,
-0.019856112077832222,
0.04169531166553497,
0.067143015563488,
-0.12704113125801086,
-0.05730568617582321,
-0.02062803879380226,
0.184711292386055,
-0.14272692799568176,
0.0579264797270298,
0.07905213534832001,
0.0043088942766189575,
-0.006821044255048037,
-0.06033322587609291,
0.06912930309772491,
0.01143652107566595,
-0.0041942535899579525,
-0.018460433930158615,
0.0040404279716312885,
-0.0016418250743299723,
-0.03479690104722977,
-0.07164968550205231,
0.0057390485890209675,
0.0723329409956932,
-0.01797383278608322,
-0.012341944500803947,
0.03792039677500725,
2.2461283607374882e-33,
-0.015634071081876755,
0.08855842798948288,
-0.039074309170246124,
-0.0266334917396307,
-0.03936881199479103,
0.016814544796943665,
0.05276248976588249,
0.09718915820121765,
-0.06429111957550049,
0.014380242675542831,
0.017501920461654663,
0.06836589425802231,
-0.0011380519717931747,
0.05848552659153938,
-0.043165698647499084,
-0.07597081363201141,
0.04172041267156601,
0.04002328962087631,
-0.044550903141498566,
0.04273221641778946,
0.07561951130628586,
0.03387824073433876,
0.04551154002547264,
0.033718109130859375,
0.012467680498957634,
0.030756056308746338,
-0.0426899716258049,
-0.02970762550830841,
-0.08126217126846313,
-0.018024640157818794,
0.016274813562631607,
0.03427968546748161,
0.02772078849375248,
0.04728110879659653,
-0.033429842442274094,
0.02977052703499794,
-0.026863880455493927,
0.04214762523770332,
-0.018488314002752304,
0.041072871536016464,
-0.0017299543833360076,
0.08155960589647293,
0.0006131448899395764,
-0.06425784528255463,
0.04126366600394249,
-0.023101093247532845,
-0.0074368370696902275,
0.0004075410251971334,
-0.06899642199277878,
-0.026826728135347366,
0.041115447878837585,
0.08439505845308304,
-0.09957583248615265,
0.11114518344402313,
0.13405470550060272,
0.026738479733467102,
0.08319806307554245,
0.07327844202518463,
0.053448230028152466,
0.01472773402929306,
0.04200443997979164,
-0.04447208717465401,
-0.023907873779535294,
0.042262062430381775,
-0.09728912264108658,
0.030465444549918175,
0.012698780745267868,
0.05713885277509689,
-0.06325976550579071,
0.07970681041479111,
0.008245134726166725,
0.045935891568660736,
0.027653733268380165,
-0.11734938621520996,
0.17516213655471802,
0.0007421443588100374,
-0.0012162805069237947,
0.08668214827775955,
-0.021398350596427917,
-0.010051841847598553,
-0.05788376182317734,
-0.04395529627799988,
-0.043338384479284286,
0.02252981811761856,
0.032978009432554245,
0.0619945265352726,
-0.07529141008853912,
0.027604660019278526,
-0.08597593754529953,
-0.06750961393117905,
-0.01794939488172531,
-0.023286012932658195,
0.05740591511130333,
-0.028134731575846672,
-0.0871380940079689,
-3.164885929132557e-33,
0.13531608879566193,
-0.04066353663802147,
0.06347329169511795,
0.00841634813696146,
0.059817809611558914,
0.059523001313209534,
0.027561204507946968,
-0.056854456663131714,
-0.07808677107095718,
-0.014168486930429935,
-0.0028373959939926863,
0.003006950719282031,
0.06750160455703735,
0.0547921247780323,
-0.028546355664730072,
-0.057951878756284714,
0.030034778639674187,
-0.016629958525300026,
-0.006935875862836838,
-0.028256984427571297,
0.06951075047254562,
0.0687876045703888,
0.026859495788812637,
-0.007354493718594313,
0.04945623129606247,
-0.03335137292742729,
-0.01466321386396885,
-0.04410732910037041,
-0.0033222336787730455,
0.0011010223533958197,
-0.08271344751119614,
-0.020079124718904495,
0.06640522181987762,
-0.06408971548080444,
0.02006576396524906,
0.015782104805111885,
0.01863260380923748,
0.043688420206308365,
-0.054593440145254135,
-0.059820543974637985,
0.013297717086970806,
0.059411004185676575,
0.017203273251652718,
0.03921285644173622,
-0.007834166288375854,
0.05503176152706146,
-0.04472893849015236,
-0.01274055428802967,
0.059026822447776794,
0.06746241450309753,
0.0027382606640458107,
-0.04022044688463211,
-0.017146877944469452,
0.04464618116617203,
-0.06376533210277557,
-0.033723942935466766,
-0.013498377986252308,
0.028619928285479546,
0.019226040691137314,
-0.0013918326003476977,
-0.07729216665029526,
-0.005174465477466583,
0.047862790524959564,
-0.025939062237739563,
0.026710985228419304,
0.005881769582629204,
-0.03752840310335159,
0.08678515255451202,
-0.04040033742785454,
-0.003736578393727541,
0.05906998738646507,
-0.02203953266143799,
0.045497409999370575,
-0.007582600228488445,
-0.05516326427459717,
0.002324965549632907,
0.057434070855379105,
-0.017101136967539787,
0.024501269683241844,
-0.0022765747271478176,
0.025669805705547333,
0.029870735481381416,
-0.028696762397885323,
-0.03448909521102905,
0.07217398285865784,
0.009154876694083214,
-0.009265308268368244,
-0.05766613036394119,
-0.03609295189380646,
-0.008498694747686386,
0.04365542158484459,
-0.0013023350620642304,
0.04459394887089729,
-0.04324246570467949,
0.06947951018810272,
-4.1829689934047565e-8,
-0.03334333002567291,
0.021740559488534927,
-0.07030364871025085,
0.0847650095820427,
0.08012676984071732,
-0.0517134964466095,
-0.04316013306379318,
0.015816157683730125,
0.0433654822409153,
-0.04652048647403717,
0.11207196116447449,
-0.009092175401747227,
0.01795697584748268,
0.026197373867034912,
0.027744458988308907,
-0.04120825603604317,
0.012073451653122902,
-0.03829897567629814,
0.05607914179563522,
0.03260963037610054,
-0.01332202460616827,
-0.026376822963356972,
0.08178647607564926,
-0.008057420141994953,
-0.07121030986309052,
-0.009773469530045986,
-0.02333644963800907,
0.012712433002889156,
0.06590025871992111,
-0.060874368995428085,
-0.13076362013816833,
-0.05534947291016579,
0.041073139756917953,
0.0475122407078743,
-0.03263583406805992,
-0.08285852521657944,
-0.04421613737940788,
0.005863271653652191,
0.03203123062849045,
-0.030602149665355682,
0.04032597690820694,
-0.07326113432645798,
0.03559503331780434,
-0.023176832124590874,
-0.08884838968515396,
0.004898169543594122,
-0.07726668566465378,
-0.1414099782705307,
-0.06237204745411873,
0.035489536821842194,
-0.02053552307188511,
0.018882250413298607,
0.0582168847322464,
-0.10688504576683044,
0.018393564969301224,
0.08034297823905945,
-0.012363724410533905,
-0.035134535282850266,
0.009008979424834251,
0.01152669545263052,
0.09798261523246765,
-0.060453012585639954,
0.038340192288160324,
0.03163331747055054
] | null | null | null | null | null | null | null |
[
-0.040050867944955826,
-0.017184320837259293,
-0.06327193975448608,
0.04572136327624321,
-0.10108112543821335,
-0.06063340604305267,
-0.03966185823082924,
-0.04213929548859596,
-0.06233304738998413,
-0.07481807470321655,
-0.03913823515176773,
0.005719154141843319,
0.03219186142086983,
0.018487775698304176,
0.07769785076379776,
0.014930343255400658,
0.07270931452512741,
-0.04149763658642769,
0.00863904319703579,
0.006478290073573589,
0.021567588672041893,
-0.08833672851324081,
0.054297834634780884,
-0.015999943017959595,
0.04086535423994064,
-0.06187303364276886,
-0.05061905086040497,
-0.09004459530115128,
-0.029780717566609383,
0.00015505119517911226,
0.04156264290213585,
-0.05413789674639702,
-0.04036465287208557,
0.03628390282392502,
0.00526108592748642,
-0.024485796689987183,
0.05705518275499344,
0.008547627367079258,
-0.01741662435233593,
0.06237620860338211,
0.0015856327954679728,
-0.07957901060581207,
-0.020972872152924538,
0.03430137783288956,
0.004021469037979841,
-0.035052694380283356,
0.023925315588712692,
-0.146395742893219,
-0.07024383544921875,
0.07200668752193451,
-0.033938217908144,
-0.0048471963964402676,
-0.01344284787774086,
-0.04109871760010719,
0.0420587882399559,
0.02277832105755806,
-0.05135289952158928,
0.031284380704164505,
-0.012843811884522438,
-0.005421730224043131,
-0.0260850228369236,
-0.06112994998693466,
0.003184761619195342,
-0.032329853624105453,
-0.049051135778427124,
-0.08817242830991745,
0.018371619284152985,
-0.0041147395968437195,
-0.0055810860358178616,
0.02473403327167034,
-0.01150989718735218,
-0.03433448448777199,
-0.010921573266386986,
0.018073461949825287,
-0.03777817264199257,
-0.026723206043243408,
0.06625311076641083,
0.04207704961299896,
-0.0022192473988980055,
0.05826408416032791,
-0.01338579785078764,
0.03463020548224449,
-0.09997349232435226,
0.03304428979754448,
-0.05228622257709503,
0.057216059416532516,
0.023804621770977974,
0.028254540637135506,
-0.060216329991817474,
-0.008667363785207272,
-0.0017833724850788713,
-0.0458126962184906,
0.032962121069431305,
-0.019613979384303093,
0.034541238099336624,
0.014759712852537632,
0.0016489551635459065,
-0.048556774854660034,
0.008238778449594975,
-0.023231158033013344,
0.055840205401182175,
-0.019856112077832222,
0.04169531166553497,
0.067143015563488,
-0.12704113125801086,
-0.05730568617582321,
-0.02062803879380226,
0.184711292386055,
-0.14272692799568176,
0.0579264797270298,
0.07905213534832001,
0.0043088942766189575,
-0.006821044255048037,
-0.06033322587609291,
0.06912930309772491,
0.01143652107566595,
-0.0041942535899579525,
-0.018460433930158615,
0.0040404279716312885,
-0.0016418250743299723,
-0.03479690104722977,
-0.07164968550205231,
0.0057390485890209675,
0.0723329409956932,
-0.01797383278608322,
-0.012341944500803947,
0.03792039677500725,
2.2461283607374882e-33,
-0.015634071081876755,
0.08855842798948288,
-0.039074309170246124,
-0.0266334917396307,
-0.03936881199479103,
0.016814544796943665,
0.05276248976588249,
0.09718915820121765,
-0.06429111957550049,
0.014380242675542831,
0.017501920461654663,
0.06836589425802231,
-0.0011380519717931747,
0.05848552659153938,
-0.043165698647499084,
-0.07597081363201141,
0.04172041267156601,
0.04002328962087631,
-0.044550903141498566,
0.04273221641778946,
0.07561951130628586,
0.03387824073433876,
0.04551154002547264,
0.033718109130859375,
0.012467680498957634,
0.030756056308746338,
-0.0426899716258049,
-0.02970762550830841,
-0.08126217126846313,
-0.018024640157818794,
0.016274813562631607,
0.03427968546748161,
0.02772078849375248,
0.04728110879659653,
-0.033429842442274094,
0.02977052703499794,
-0.026863880455493927,
0.04214762523770332,
-0.018488314002752304,
0.041072871536016464,
-0.0017299543833360076,
0.08155960589647293,
0.0006131448899395764,
-0.06425784528255463,
0.04126366600394249,
-0.023101093247532845,
-0.0074368370696902275,
0.0004075410251971334,
-0.06899642199277878,
-0.026826728135347366,
0.041115447878837585,
0.08439505845308304,
-0.09957583248615265,
0.11114518344402313,
0.13405470550060272,
0.026738479733467102,
0.08319806307554245,
0.07327844202518463,
0.053448230028152466,
0.01472773402929306,
0.04200443997979164,
-0.04447208717465401,
-0.023907873779535294,
0.042262062430381775,
-0.09728912264108658,
0.030465444549918175,
0.012698780745267868,
0.05713885277509689,
-0.06325976550579071,
0.07970681041479111,
0.008245134726166725,
0.045935891568660736,
0.027653733268380165,
-0.11734938621520996,
0.17516213655471802,
0.0007421443588100374,
-0.0012162805069237947,
0.08668214827775955,
-0.021398350596427917,
-0.010051841847598553,
-0.05788376182317734,
-0.04395529627799988,
-0.043338384479284286,
0.02252981811761856,
0.032978009432554245,
0.0619945265352726,
-0.07529141008853912,
0.027604660019278526,
-0.08597593754529953,
-0.06750961393117905,
-0.01794939488172531,
-0.023286012932658195,
0.05740591511130333,
-0.028134731575846672,
-0.0871380940079689,
-3.164885929132557e-33,
0.13531608879566193,
-0.04066353663802147,
0.06347329169511795,
0.00841634813696146,
0.059817809611558914,
0.059523001313209534,
0.027561204507946968,
-0.056854456663131714,
-0.07808677107095718,
-0.014168486930429935,
-0.0028373959939926863,
0.003006950719282031,
0.06750160455703735,
0.0547921247780323,
-0.028546355664730072,
-0.057951878756284714,
0.030034778639674187,
-0.016629958525300026,
-0.006935875862836838,
-0.028256984427571297,
0.06951075047254562,
0.0687876045703888,
0.026859495788812637,
-0.007354493718594313,
0.04945623129606247,
-0.03335137292742729,
-0.01466321386396885,
-0.04410732910037041,
-0.0033222336787730455,
0.0011010223533958197,
-0.08271344751119614,
-0.020079124718904495,
0.06640522181987762,
-0.06408971548080444,
0.02006576396524906,
0.015782104805111885,
0.01863260380923748,
0.043688420206308365,
-0.054593440145254135,
-0.059820543974637985,
0.013297717086970806,
0.059411004185676575,
0.017203273251652718,
0.03921285644173622,
-0.007834166288375854,
0.05503176152706146,
-0.04472893849015236,
-0.01274055428802967,
0.059026822447776794,
0.06746241450309753,
0.0027382606640458107,
-0.04022044688463211,
-0.017146877944469452,
0.04464618116617203,
-0.06376533210277557,
-0.033723942935466766,
-0.013498377986252308,
0.028619928285479546,
0.019226040691137314,
-0.0013918326003476977,
-0.07729216665029526,
-0.005174465477466583,
0.047862790524959564,
-0.025939062237739563,
0.026710985228419304,
0.005881769582629204,
-0.03752840310335159,
0.08678515255451202,
-0.04040033742785454,
-0.003736578393727541,
0.05906998738646507,
-0.02203953266143799,
0.045497409999370575,
-0.007582600228488445,
-0.05516326427459717,
0.002324965549632907,
0.057434070855379105,
-0.017101136967539787,
0.024501269683241844,
-0.0022765747271478176,
0.025669805705547333,
0.029870735481381416,
-0.028696762397885323,
-0.03448909521102905,
0.07217398285865784,
0.009154876694083214,
-0.009265308268368244,
-0.05766613036394119,
-0.03609295189380646,
-0.008498694747686386,
0.04365542158484459,
-0.0013023350620642304,
0.04459394887089729,
-0.04324246570467949,
0.06947951018810272,
-4.1829689934047565e-8,
-0.03334333002567291,
0.021740559488534927,
-0.07030364871025085,
0.0847650095820427,
0.08012676984071732,
-0.0517134964466095,
-0.04316013306379318,
0.015816157683730125,
0.0433654822409153,
-0.04652048647403717,
0.11207196116447449,
-0.009092175401747227,
0.01795697584748268,
0.026197373867034912,
0.027744458988308907,
-0.04120825603604317,
0.012073451653122902,
-0.03829897567629814,
0.05607914179563522,
0.03260963037610054,
-0.01332202460616827,
-0.026376822963356972,
0.08178647607564926,
-0.008057420141994953,
-0.07121030986309052,
-0.009773469530045986,
-0.02333644963800907,
0.012712433002889156,
0.06590025871992111,
-0.060874368995428085,
-0.13076362013816833,
-0.05534947291016579,
0.041073139756917953,
0.0475122407078743,
-0.03263583406805992,
-0.08285852521657944,
-0.04421613737940788,
0.005863271653652191,
0.03203123062849045,
-0.030602149665355682,
0.04032597690820694,
-0.07326113432645798,
0.03559503331780434,
-0.023176832124590874,
-0.08884838968515396,
0.004898169543594122,
-0.07726668566465378,
-0.1414099782705307,
-0.06237204745411873,
0.035489536821842194,
-0.02053552307188511,
0.018882250413298607,
0.0582168847322464,
-0.10688504576683044,
0.018393564969301224,
0.08034297823905945,
-0.012363724410533905,
-0.035134535282850266,
0.009008979424834251,
0.01152669545263052,
0.09798261523246765,
-0.060453012585639954,
0.038340192288160324,
0.03163331747055054
] |
1401.7881
|
A. M. Fedotov
|
N.V. Elkina, A.M. Fedotov, C. Herzing, H. Ruhl
|
Accurate numerical simulation of radiation reaction effects in strong
electromagnetic fields
|
16 pages, 13 figures
| null | null | null |
physics.plasm-ph physics.acc-ph physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Landau-Lifshitz equation provides an efficient way to account for the
effects of radiation reaction without acquiring the non-physical solutions
typical for the Lorentz-Abraham-Dirac equation. We solve the Landau-Lifshitz
equation in its covariant four-vector form in order to control both the energy
and momentum of radiating particle. Our study reveals that implicit
time-symmetric collocation methods of the Runge-Kutta-Nystr\"om type are
superior in both accuracy and better maintaining the mass-shell condition than
their explicit counterparts. We carry out an extensive study of numerical
accuracy by comparing the analytical and numerical solutions of the
Landau-Lifshitz equation. Finally, we present the results of simulation of
particles scattering by a focused laser pulse. Due to radiation reaction,
particles are less capable for penetration into the focal region, as compared
to the case of radiation reaction neglected. Our results are important for
designing the forthcoming experiments with high intensity laser fields.
|
[
{
"created": "Thu, 30 Jan 2014 15:24:44 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Elkina",
"N. V.",
""
],
[
"Fedotov",
"A. M.",
""
],
[
"Herzing",
"C.",
""
],
[
"Ruhl",
"H.",
""
]
] |
[
-0.04366442933678627,
-0.019735505804419518,
0.018261870369315147,
0.056804001331329346,
0.000032143267162609845,
-0.02281770296394825,
-0.016985610127449036,
-0.014089693315327168,
-0.05191246420145035,
-0.01589817926287651,
-0.019305262714624405,
0.007911617867648602,
-0.030087212100625038,
-0.03907781466841698,
0.0111215366050601,
0.0258717630058527,
-0.017947247251868248,
0.028934119269251823,
-0.02684336155653,
0.01181015744805336,
-0.08004341274499893,
-0.0908925011754036,
0.03945967182517052,
-0.015141621232032776,
0.020947188138961792,
-0.04373921826481819,
0.08013921231031418,
-0.06776320934295654,
-0.013877751305699348,
0.04288369417190552,
0.2000085711479187,
-0.004711939487606287,
-0.054549869149923325,
0.019373856484889984,
-0.050685521215200424,
-0.051666341722011566,
0.006647198460996151,
-0.022343633696436882,
-0.0583462193608284,
0.007663174998015165,
0.02768208459019661,
-0.0007484607049264014,
-0.02553865686058998,
0.059482015669345856,
0.09159378707408905,
-0.03664888069033623,
0.02334313653409481,
-0.08542966842651367,
0.023067910224199295,
0.042623456567525864,
0.029039964079856873,
0.04273560643196106,
-0.06937291473150253,
-0.011091933585703373,
-0.01372615061700344,
-0.01851339265704155,
0.00022759960847906768,
0.013629144988954067,
0.027022678405046463,
0.025281962007284164,
-0.04380449652671814,
0.03919631615281105,
-0.09969485551118851,
-0.004043945576995611,
0.09504476934671402,
-0.050161488354206085,
0.03472982347011566,
-0.023109834641218185,
-0.015636054798960686,
0.09778880327939987,
0.039743538945913315,
0.031780682504177094,
-0.04673830792307854,
-0.03383493423461914,
-0.0632486492395401,
-0.021473737433552742,
0.026215555146336555,
0.023928891867399216,
-0.03670436143875122,
0.01546152587980032,
-0.014043550007045269,
-0.008289587683975697,
-0.11595191061496735,
-0.030646542087197304,
-0.12199802696704865,
0.07646749168634415,
-0.05718323960900307,
0.04768973961472511,
0.05210314691066742,
-0.0731661319732666,
0.01988404244184494,
-0.08417440205812454,
-0.07238081097602844,
0.007962861098349094,
0.04101139307022095,
-0.003452976467087865,
0.1257302314043045,
0.03556283190846443,
0.023992618545889854,
0.009124472737312317,
0.00019600294763222337,
-0.10367871820926666,
-0.021814551204442978,
0.035400256514549255,
-0.058395542204380035,
-0.05105157569050789,
0.046558745205402374,
0.045038945972919464,
-0.12305168062448502,
0.02813972346484661,
0.0627821758389473,
0.03870511054992676,
-0.025179171934723854,
0.013057710602879524,
0.02390969730913639,
0.008239645510911942,
0.059873487800359726,
-0.05428984761238098,
0.09016428887844086,
-0.006180737167596817,
-0.010882190428674221,
0.06344517320394516,
0.02984970435500145,
0.015212190337479115,
-0.04859554395079613,
-0.012991244904696941,
0.002503538504242897,
-9.979705511126325e-34,
-0.020284701138734818,
0.08288471400737762,
0.005401006434112787,
-0.026996374130249023,
-0.044734224677085876,
0.019246244803071022,
0.08530837297439575,
-0.0022371308878064156,
-0.06584741920232773,
0.04839317128062248,
0.02267446368932724,
0.04878634959459305,
0.04446936771273613,
-0.06345256417989731,
-0.06814898550510406,
-0.04749368131160736,
0.03440107777714729,
0.06999847292900085,
-0.022120008245110512,
0.09975241124629974,
0.07919320464134216,
0.039642348885536194,
-0.04257111996412277,
0.04514201357960701,
-0.014823943376541138,
0.01897476613521576,
-0.004646418150514364,
-0.00984556507319212,
-0.024492530152201653,
0.03414040803909302,
-0.04908868670463562,
0.0395289845764637,
-0.04049001634120941,
0.014375521801412106,
0.03105298988521099,
0.015557481907308102,
-0.09305518120527267,
-0.0044649443589150906,
0.009325103834271431,
-0.08601225912570953,
0.006147938780486584,
-0.03220062330365181,
-0.010894524864852428,
-0.006248939782381058,
0.019887443631887436,
0.033790573477745056,
-0.03090623952448368,
-0.02282099612057209,
0.037522148340940475,
-0.00550477672368288,
-0.012188115157186985,
-0.03764710947871208,
-0.04164138436317444,
0.03824677690863609,
0.05616220459342003,
-0.020432010293006897,
0.04781978949904442,
-0.05697611719369888,
0.0006027863710187376,
-0.03744441643357277,
0.09790221601724625,
0.03782111033797264,
0.032974179834127426,
-0.029369240626692772,
0.03290694206953049,
-0.10777078568935394,
-0.05966586992144585,
0.012669024989008904,
-0.0011477189837023616,
0.06635132431983948,
-0.025457745417952538,
0.08376271277666092,
-0.018111564218997955,
-0.008902652189135551,
0.10004912316799164,
-0.06068802252411842,
0.053462933748960495,
0.12533976137638092,
-0.025408515706658363,
-0.006428101100027561,
0.02049870230257511,
0.0033210923429578543,
-0.013556286692619324,
0.01613950915634632,
-0.025963595137000084,
0.02203647419810295,
-0.06762063503265381,
0.005007370375096798,
-0.11865203827619553,
-0.09499640017747879,
0.006412317045032978,
-0.04389425367116928,
-0.022607319056987762,
-0.05849967524409294,
-0.06107905134558678,
-2.2184388566199e-33,
0.025405174121260643,
-0.016647223383188248,
0.03534289821982384,
0.06504322588443756,
-0.005510370247066021,
0.04181733727455139,
0.02042059600353241,
-0.03753545135259628,
0.02268962934613228,
-0.0005642470205202699,
-0.010585969313979149,
-0.015314252115786076,
-0.09705899655818939,
-0.04081209376454353,
0.051288947463035583,
-0.007139614783227444,
0.04196777939796448,
-0.004339130129665136,
-0.013455035164952278,
-0.010190922766923904,
-0.06568912416696548,
0.061447810381650925,
0.04836969077587128,
-0.08098199963569641,
-0.016082486137747765,
-0.07697982341051102,
0.11286862194538116,
-0.015882013365626335,
-0.02746071293950081,
0.01953459158539772,
-0.007211406249552965,
-0.0667552575469017,
-0.011171740479767323,
0.0476415641605854,
-0.01085762120783329,
0.02663610503077507,
0.05241765081882477,
0.07509176433086395,
0.09152545034885406,
-0.12973913550376892,
-0.04778091982007027,
0.037927910685539246,
0.06942597031593323,
-0.013373935595154762,
0.010347365401685238,
0.07668248564004898,
-0.009891953319311142,
-0.00642686802893877,
-0.010498560033738613,
0.06011421978473663,
0.0025977196637541056,
-0.093960240483284,
-0.016161572188138962,
0.030440809205174446,
-0.057965073734521866,
0.032450489699840546,
-0.022527262568473816,
-0.06440240144729614,
0.054556190967559814,
-0.04175540432333946,
-0.06993778795003891,
0.0161895714700222,
0.1349078118801117,
0.044598791748285294,
-0.05867455154657364,
-0.024100642651319504,
-0.11523806303739548,
0.048190951347351074,
0.003707901807501912,
-0.008917560800909996,
0.0025359035935252905,
-0.011842327192425728,
0.023348072543740273,
0.04720276966691017,
-0.07737519592046738,
0.037693675607442856,
0.08581549674272537,
-0.016792889684438705,
-0.035102613270282745,
-0.03827403858304024,
0.009205146692693233,
0.05668563023209572,
0.06211324781179428,
-0.04078267142176628,
0.02053789235651493,
0.017773481085896492,
-0.012630514800548553,
0.017653560265898705,
-0.02546263113617897,
-0.05176892504096031,
0.029581213369965553,
0.007147845812141895,
0.10009510070085526,
-0.03233994543552399,
0.07125493884086609,
-4.793157515337043e-8,
-0.06131424382328987,
-0.0034779475536197424,
-0.08862634748220444,
0.06279221922159195,
-0.017134297639131546,
0.03882701322436333,
-0.05354094132781029,
-0.050406306982040405,
0.03281156346201897,
-0.003913349471986294,
0.042387817054986954,
-0.01809399574995041,
-0.030796680599451065,
0.008199399337172508,
-0.05326257273554802,
0.03100467100739479,
0.011303156614303589,
-0.10369973629713058,
-0.008524684235453606,
0.07045964151620865,
-0.02324530854821205,
0.02782084420323372,
0.06138027459383011,
-0.004592931363731623,
-0.038306862115859985,
0.10854969918727875,
-0.10142597556114197,
-0.02742493897676468,
0.09168345481157303,
0.0040975227020680904,
-0.0038489385042339563,
-0.00635944027453661,
-0.018135342746973038,
0.018672138452529907,
0.008238001726567745,
-0.07760842144489288,
0.01770319603383541,
0.013018758967518806,
0.04970798268914223,
0.0539364330470562,
0.009001165628433228,
0.06310559064149857,
0.03766133636236191,
0.026681726798415184,
-0.014533404260873795,
0.08381389081478119,
-0.10881732404232025,
-0.08621697872877121,
-0.02152392826974392,
0.1130308136343956,
-0.014825466088950634,
0.08779929578304291,
-0.07877855002880096,
-0.04330984503030777,
0.024059947580099106,
-0.0012945323251187801,
-0.060909684747457504,
-0.07343465089797974,
0.04504963383078575,
-0.0486743226647377,
0.012147576548159122,
0.06371290981769562,
-0.04622714966535568,
0.11778892576694489
] | null | null | null | null | null | null | null |
[
-0.04366442933678627,
-0.019735505804419518,
0.018261870369315147,
0.056804001331329346,
0.000032143267162609845,
-0.02281770296394825,
-0.016985610127449036,
-0.014089693315327168,
-0.05191246420145035,
-0.01589817926287651,
-0.019305262714624405,
0.007911617867648602,
-0.030087212100625038,
-0.03907781466841698,
0.0111215366050601,
0.0258717630058527,
-0.017947247251868248,
0.028934119269251823,
-0.02684336155653,
0.01181015744805336,
-0.08004341274499893,
-0.0908925011754036,
0.03945967182517052,
-0.015141621232032776,
0.020947188138961792,
-0.04373921826481819,
0.08013921231031418,
-0.06776320934295654,
-0.013877751305699348,
0.04288369417190552,
0.2000085711479187,
-0.004711939487606287,
-0.054549869149923325,
0.019373856484889984,
-0.050685521215200424,
-0.051666341722011566,
0.006647198460996151,
-0.022343633696436882,
-0.0583462193608284,
0.007663174998015165,
0.02768208459019661,
-0.0007484607049264014,
-0.02553865686058998,
0.059482015669345856,
0.09159378707408905,
-0.03664888069033623,
0.02334313653409481,
-0.08542966842651367,
0.023067910224199295,
0.042623456567525864,
0.029039964079856873,
0.04273560643196106,
-0.06937291473150253,
-0.011091933585703373,
-0.01372615061700344,
-0.01851339265704155,
0.00022759960847906768,
0.013629144988954067,
0.027022678405046463,
0.025281962007284164,
-0.04380449652671814,
0.03919631615281105,
-0.09969485551118851,
-0.004043945576995611,
0.09504476934671402,
-0.050161488354206085,
0.03472982347011566,
-0.023109834641218185,
-0.015636054798960686,
0.09778880327939987,
0.039743538945913315,
0.031780682504177094,
-0.04673830792307854,
-0.03383493423461914,
-0.0632486492395401,
-0.021473737433552742,
0.026215555146336555,
0.023928891867399216,
-0.03670436143875122,
0.01546152587980032,
-0.014043550007045269,
-0.008289587683975697,
-0.11595191061496735,
-0.030646542087197304,
-0.12199802696704865,
0.07646749168634415,
-0.05718323960900307,
0.04768973961472511,
0.05210314691066742,
-0.0731661319732666,
0.01988404244184494,
-0.08417440205812454,
-0.07238081097602844,
0.007962861098349094,
0.04101139307022095,
-0.003452976467087865,
0.1257302314043045,
0.03556283190846443,
0.023992618545889854,
0.009124472737312317,
0.00019600294763222337,
-0.10367871820926666,
-0.021814551204442978,
0.035400256514549255,
-0.058395542204380035,
-0.05105157569050789,
0.046558745205402374,
0.045038945972919464,
-0.12305168062448502,
0.02813972346484661,
0.0627821758389473,
0.03870511054992676,
-0.025179171934723854,
0.013057710602879524,
0.02390969730913639,
0.008239645510911942,
0.059873487800359726,
-0.05428984761238098,
0.09016428887844086,
-0.006180737167596817,
-0.010882190428674221,
0.06344517320394516,
0.02984970435500145,
0.015212190337479115,
-0.04859554395079613,
-0.012991244904696941,
0.002503538504242897,
-9.979705511126325e-34,
-0.020284701138734818,
0.08288471400737762,
0.005401006434112787,
-0.026996374130249023,
-0.044734224677085876,
0.019246244803071022,
0.08530837297439575,
-0.0022371308878064156,
-0.06584741920232773,
0.04839317128062248,
0.02267446368932724,
0.04878634959459305,
0.04446936771273613,
-0.06345256417989731,
-0.06814898550510406,
-0.04749368131160736,
0.03440107777714729,
0.06999847292900085,
-0.022120008245110512,
0.09975241124629974,
0.07919320464134216,
0.039642348885536194,
-0.04257111996412277,
0.04514201357960701,
-0.014823943376541138,
0.01897476613521576,
-0.004646418150514364,
-0.00984556507319212,
-0.024492530152201653,
0.03414040803909302,
-0.04908868670463562,
0.0395289845764637,
-0.04049001634120941,
0.014375521801412106,
0.03105298988521099,
0.015557481907308102,
-0.09305518120527267,
-0.0044649443589150906,
0.009325103834271431,
-0.08601225912570953,
0.006147938780486584,
-0.03220062330365181,
-0.010894524864852428,
-0.006248939782381058,
0.019887443631887436,
0.033790573477745056,
-0.03090623952448368,
-0.02282099612057209,
0.037522148340940475,
-0.00550477672368288,
-0.012188115157186985,
-0.03764710947871208,
-0.04164138436317444,
0.03824677690863609,
0.05616220459342003,
-0.020432010293006897,
0.04781978949904442,
-0.05697611719369888,
0.0006027863710187376,
-0.03744441643357277,
0.09790221601724625,
0.03782111033797264,
0.032974179834127426,
-0.029369240626692772,
0.03290694206953049,
-0.10777078568935394,
-0.05966586992144585,
0.012669024989008904,
-0.0011477189837023616,
0.06635132431983948,
-0.025457745417952538,
0.08376271277666092,
-0.018111564218997955,
-0.008902652189135551,
0.10004912316799164,
-0.06068802252411842,
0.053462933748960495,
0.12533976137638092,
-0.025408515706658363,
-0.006428101100027561,
0.02049870230257511,
0.0033210923429578543,
-0.013556286692619324,
0.01613950915634632,
-0.025963595137000084,
0.02203647419810295,
-0.06762063503265381,
0.005007370375096798,
-0.11865203827619553,
-0.09499640017747879,
0.006412317045032978,
-0.04389425367116928,
-0.022607319056987762,
-0.05849967524409294,
-0.06107905134558678,
-2.2184388566199e-33,
0.025405174121260643,
-0.016647223383188248,
0.03534289821982384,
0.06504322588443756,
-0.005510370247066021,
0.04181733727455139,
0.02042059600353241,
-0.03753545135259628,
0.02268962934613228,
-0.0005642470205202699,
-0.010585969313979149,
-0.015314252115786076,
-0.09705899655818939,
-0.04081209376454353,
0.051288947463035583,
-0.007139614783227444,
0.04196777939796448,
-0.004339130129665136,
-0.013455035164952278,
-0.010190922766923904,
-0.06568912416696548,
0.061447810381650925,
0.04836969077587128,
-0.08098199963569641,
-0.016082486137747765,
-0.07697982341051102,
0.11286862194538116,
-0.015882013365626335,
-0.02746071293950081,
0.01953459158539772,
-0.007211406249552965,
-0.0667552575469017,
-0.011171740479767323,
0.0476415641605854,
-0.01085762120783329,
0.02663610503077507,
0.05241765081882477,
0.07509176433086395,
0.09152545034885406,
-0.12973913550376892,
-0.04778091982007027,
0.037927910685539246,
0.06942597031593323,
-0.013373935595154762,
0.010347365401685238,
0.07668248564004898,
-0.009891953319311142,
-0.00642686802893877,
-0.010498560033738613,
0.06011421978473663,
0.0025977196637541056,
-0.093960240483284,
-0.016161572188138962,
0.030440809205174446,
-0.057965073734521866,
0.032450489699840546,
-0.022527262568473816,
-0.06440240144729614,
0.054556190967559814,
-0.04175540432333946,
-0.06993778795003891,
0.0161895714700222,
0.1349078118801117,
0.044598791748285294,
-0.05867455154657364,
-0.024100642651319504,
-0.11523806303739548,
0.048190951347351074,
0.003707901807501912,
-0.008917560800909996,
0.0025359035935252905,
-0.011842327192425728,
0.023348072543740273,
0.04720276966691017,
-0.07737519592046738,
0.037693675607442856,
0.08581549674272537,
-0.016792889684438705,
-0.035102613270282745,
-0.03827403858304024,
0.009205146692693233,
0.05668563023209572,
0.06211324781179428,
-0.04078267142176628,
0.02053789235651493,
0.017773481085896492,
-0.012630514800548553,
0.017653560265898705,
-0.02546263113617897,
-0.05176892504096031,
0.029581213369965553,
0.007147845812141895,
0.10009510070085526,
-0.03233994543552399,
0.07125493884086609,
-4.793157515337043e-8,
-0.06131424382328987,
-0.0034779475536197424,
-0.08862634748220444,
0.06279221922159195,
-0.017134297639131546,
0.03882701322436333,
-0.05354094132781029,
-0.050406306982040405,
0.03281156346201897,
-0.003913349471986294,
0.042387817054986954,
-0.01809399574995041,
-0.030796680599451065,
0.008199399337172508,
-0.05326257273554802,
0.03100467100739479,
0.011303156614303589,
-0.10369973629713058,
-0.008524684235453606,
0.07045964151620865,
-0.02324530854821205,
0.02782084420323372,
0.06138027459383011,
-0.004592931363731623,
-0.038306862115859985,
0.10854969918727875,
-0.10142597556114197,
-0.02742493897676468,
0.09168345481157303,
0.0040975227020680904,
-0.0038489385042339563,
-0.00635944027453661,
-0.018135342746973038,
0.018672138452529907,
0.008238001726567745,
-0.07760842144489288,
0.01770319603383541,
0.013018758967518806,
0.04970798268914223,
0.0539364330470562,
0.009001165628433228,
0.06310559064149857,
0.03766133636236191,
0.026681726798415184,
-0.014533404260873795,
0.08381389081478119,
-0.10881732404232025,
-0.08621697872877121,
-0.02152392826974392,
0.1130308136343956,
-0.014825466088950634,
0.08779929578304291,
-0.07877855002880096,
-0.04330984503030777,
0.024059947580099106,
-0.0012945323251187801,
-0.060909684747457504,
-0.07343465089797974,
0.04504963383078575,
-0.0486743226647377,
0.012147576548159122,
0.06371290981769562,
-0.04622714966535568,
0.11778892576694489
] |
1401.7886
|
Arnaud Spiwack
|
Guyslain Naves and Arnaud Spiwack
|
Balancing lists: a proof pearl
|
To appear in proceedings of Interactive Theorem Proving (2014)
| null | null | null |
cs.DS cs.LO
|
http://creativecommons.org/licenses/by/3.0/
|
Starting with an algorithm to turn lists into full trees which uses
non-obvious invariants and partial functions, we progressively encode the
invariants in the types of the data, removing most of the burden of a
correctness proof.
The invariants are encoded using non-uniform inductive types which parallel
numerical representations in a style advertised by Okasaki, and a small amount
of dependent types.
|
[
{
"created": "Thu, 30 Jan 2014 15:40:18 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2014 12:32:39 GMT",
"version": "v2"
}
] |
2014-06-16
|
[
[
"Naves",
"Guyslain",
""
],
[
"Spiwack",
"Arnaud",
""
]
] |
[
-0.07084644585847855,
0.07367203384637833,
0.0410914346575737,
-0.0025503006763756275,
0.049030326306819916,
-0.03600596636533737,
-0.06417445838451385,
-0.06606459617614746,
-0.030837390571832657,
-0.005333310924470425,
-0.05313636362552643,
-0.0009582752245478332,
0.034173380583524704,
0.02130863256752491,
-0.03922615945339203,
0.030856546014547348,
-0.056017328053712845,
0.16367673873901367,
0.0370863676071167,
-0.1212523952126503,
-0.048674583435058594,
0.00994250737130642,
-0.10732153058052063,
0.07468950003385544,
0.06013559550046921,
-0.024407239630818367,
-0.014435922726988792,
-0.0004439274489413947,
0.013316594064235687,
-0.052070070058107376,
-0.04018161818385124,
0.0037673641927540302,
0.05584258586168289,
-0.014291347935795784,
-0.027833808213472366,
0.01494672056287527,
0.0023461508098989725,
-0.012830874882638454,
-0.006760132033377886,
0.043324925005435944,
-0.008172407746315002,
0.04758579283952713,
-0.0037609904538840055,
0.025621958076953888,
-0.03973919153213501,
0.0685136616230011,
-0.018981697037816048,
0.0008714383584447205,
-0.0777185708284378,
-0.027461405843496323,
-0.0024289744906127453,
0.03798943758010864,
-0.10616759955883026,
0.01005763839930296,
-0.022762998938560486,
-0.10920052975416183,
-0.016787078231573105,
-0.04064710810780525,
-0.02223171293735504,
-0.021176667883992195,
0.025988813489675522,
0.017311707139015198,
-0.04620963707566261,
0.03538094460964203,
-0.0015428285114467144,
0.07949993759393692,
0.029289035126566887,
0.029281480237841606,
0.02199641801416874,
0.005439066328108311,
0.017981138080358505,
0.04206828027963638,
-0.11266634613275528,
0.031077291816473007,
0.05246396362781525,
0.0020090716425329447,
0.0573449470102787,
0.022730598226189613,
-0.04368721693754196,
-0.04290562495589256,
-0.053085148334503174,
0.01837312802672386,
-0.01568599045276642,
-0.02224525809288025,
0.05881030112504959,
-0.04873808100819588,
-0.04271309822797775,
0.01838940568268299,
0.010111323557794094,
0.043877799063920975,
0.017252884805202484,
-0.012941597029566765,
0.045697636902332306,
0.009390769526362419,
-0.0050815073773264885,
0.014786927960813046,
0.03563341870903969,
0.0433674082159996,
0.0035518796648830175,
0.0797041580080986,
-0.08018912374973297,
0.017686989158391953,
0.07863866537809372,
-0.052027538418769836,
0.03250041604042053,
-0.0339425690472126,
0.03953448683023453,
-0.07762227952480316,
-0.020679213106632233,
-0.1315174251794815,
0.03471792861819267,
-0.034965429455041885,
-0.07083084434270859,
0.008961877785623074,
-0.023531712591648102,
-0.06563884019851685,
-0.07660160958766937,
-0.007369892671704292,
0.0023085123393684626,
-0.01684199646115303,
0.06002895534038544,
-0.07661405205726624,
0.04465117305517197,
0.08681157231330872,
0.01266186311841011,
-0.027112940326333046,
-0.0682380273938179,
6.651732689622134e-34,
-0.0047989762388169765,
0.05826156213879585,
0.048406217247247696,
-0.03398839756846428,
0.045696478337049484,
0.0032498862128704786,
-0.014188907109200954,
-0.06255371123552322,
-0.010274741798639297,
0.08806765079498291,
-0.023391608148813248,
0.08540649712085724,
-0.007904116064310074,
0.050887271761894226,
0.053634367883205414,
0.04428848996758461,
0.007199827581644058,
0.03384000062942505,
-0.040192585438489914,
-0.05825737863779068,
0.11197877675294876,
0.012180419638752937,
-0.044274743646383286,
-0.03421777859330177,
0.03021920844912529,
0.03952467069029808,
-0.005982534494251013,
-0.04184728488326073,
0.0026523021515458822,
0.014043901115655899,
-0.037871118634939194,
-0.06529830396175385,
0.047417156398296356,
0.03408052399754524,
0.0025080787017941475,
0.014903116971254349,
0.06087995693087578,
-0.036547526717185974,
0.04714856296777725,
-0.020320434123277664,
0.08384636789560318,
0.05957319959998131,
-0.01725148595869541,
0.011450338177382946,
0.01569903828203678,
0.005444628186523914,
-0.01946277730166912,
0.06576912105083466,
0.021140597760677338,
0.011810427531599998,
-0.008053606376051903,
0.012371470220386982,
-0.09903611987829208,
-0.034951671957969666,
-0.02907552197575569,
0.0026966091245412827,
0.011589123867452145,
0.039946842938661575,
0.04230071231722832,
0.14014530181884766,
0.010366435162723064,
0.043716635555028915,
0.012043001130223274,
-0.058253783732652664,
-0.1262209713459015,
-0.02091059461236,
-0.0621517151594162,
-0.061032868921756744,
0.09204781800508499,
0.05096157267689705,
-0.06018774211406708,
0.052704550325870514,
-0.09415359795093536,
-0.016115181148052216,
0.002298897597938776,
-0.019292861223220825,
0.0014151447685435414,
-0.1350785344839096,
-0.031252071261405945,
0.016285862773656845,
-0.046590935438871384,
0.020176028832793236,
0.06464806199073792,
0.04171374440193176,
0.0111568383872509,
-0.11632689088582993,
-0.018432438373565674,
0.0033469018526375294,
-0.024526413530111313,
-0.04227381944656372,
-0.035545896738767624,
-0.002606843365356326,
0.07141366600990295,
-0.015666315332055092,
0.03418102487921715,
-2.947377229902201e-33,
-0.07481779158115387,
-0.0034083276987075806,
0.03013216145336628,
0.07060515135526657,
-0.08055773377418518,
-0.017510568723082542,
-0.037008628249168396,
-0.00504309730604291,
-0.015312567353248596,
0.040014106780290604,
-0.0065965973772108555,
0.01972484588623047,
-0.03901622071862221,
-0.04036913439631462,
0.04283282905817032,
-0.0581681914627552,
-0.027695104479789734,
0.05215122178196907,
-0.024922197684645653,
0.03444860503077507,
0.047586288303136826,
0.10307322442531586,
-0.06070255860686302,
0.025903552770614624,
0.03228151425719261,
0.0328722707927227,
-0.037754278630018234,
0.02620801143348217,
0.08666026592254639,
0.0640699714422226,
-0.04062426835298538,
-0.061026230454444885,
0.0004416289448272437,
-0.060990992933511734,
-0.04005630686879158,
-0.07774487137794495,
0.07713749259710312,
0.037794724106788635,
-0.011101335287094116,
0.08313984423875809,
0.03703929856419563,
0.014272404834628105,
-0.04259635508060455,
0.007748957723379135,
0.013273528777062893,
-0.009569337591528893,
-0.04327080026268959,
0.05644688010215759,
0.039024922996759415,
0.001111565507017076,
0.0672612115740776,
0.022476349025964737,
-0.03847971931099892,
0.04371322691440582,
-0.0019014617428183556,
0.0190940722823143,
-0.08443017303943634,
0.04093967378139496,
0.06272494792938232,
-0.034971967339515686,
-0.11219863593578339,
-0.10202400386333466,
0.029658645391464233,
-0.04204315319657326,
0.06020679697394371,
-0.11337174475193024,
-0.033304277807474136,
-0.10611848533153534,
-0.02800760604441166,
0.002672906732186675,
0.013602560386061668,
0.019756542518734932,
-0.1443391889333725,
-0.02231184020638466,
-0.0248581413179636,
-0.10398232936859131,
0.04131364822387695,
-0.003508919384330511,
0.011803575791418552,
0.02893262542784214,
-0.006279550958424807,
0.012555685825645924,
0.08761940151453018,
0.03574448078870773,
-0.021031882613897324,
-0.01673341542482376,
0.051757536828517914,
-0.012852227315306664,
0.005599325988441706,
0.02321472391486168,
0.005124931689351797,
0.0718623474240303,
0.010943643748760223,
0.10792968422174454,
-0.022700605913996696,
-4.0024005443228816e-8,
-0.10172618180513382,
-0.08046679943799973,
-0.01780756190419197,
0.013446331955492496,
0.07394207268953323,
-0.052815478295087814,
-0.05796674266457558,
0.06659892946481705,
0.008682726882398129,
-0.06087150052189827,
0.07245365530252457,
0.03867184743285179,
-0.01803164929151535,
-0.024935903027653694,
0.12450961023569107,
0.05852186307311058,
0.03802214935421944,
0.00006016905535943806,
-0.053744129836559296,
0.08946555107831955,
-0.0677308589220047,
0.058344557881355286,
-0.10038115084171295,
-0.009220056235790253,
-0.023943651467561722,
-0.02403319627046585,
0.0005281150224618614,
0.039315905421972275,
0.0693286806344986,
0.08625544607639313,
0.024633415043354034,
0.00641968846321106,
0.0704878717660904,
-0.05293482169508934,
-0.00897993240505457,
0.04583420604467392,
-0.0008682417101226747,
0.06911866366863251,
-0.08254224807024002,
-0.09143400937318802,
-0.040144119411706924,
-0.000611639057751745,
-0.05017605796456337,
0.024849342182278633,
0.06503958255052567,
-0.07510269433259964,
0.03969605267047882,
-0.016521384939551353,
-0.09062135219573975,
0.07499720901250839,
-0.016891460865736008,
-0.033584222197532654,
0.010067366063594818,
-0.04253234341740608,
-0.032000113278627396,
0.013551192358136177,
-0.012888849712908268,
-0.05969587340950966,
0.05727417767047882,
-0.004661313258111477,
0.045439641922712326,
0.006069675553590059,
0.1037207543849945,
0.029049789533019066
] | null | null | null | null | null | null | null |
[
-0.07084644585847855,
0.07367203384637833,
0.0410914346575737,
-0.0025503006763756275,
0.049030326306819916,
-0.03600596636533737,
-0.06417445838451385,
-0.06606459617614746,
-0.030837390571832657,
-0.005333310924470425,
-0.05313636362552643,
-0.0009582752245478332,
0.034173380583524704,
0.02130863256752491,
-0.03922615945339203,
0.030856546014547348,
-0.056017328053712845,
0.16367673873901367,
0.0370863676071167,
-0.1212523952126503,
-0.048674583435058594,
0.00994250737130642,
-0.10732153058052063,
0.07468950003385544,
0.06013559550046921,
-0.024407239630818367,
-0.014435922726988792,
-0.0004439274489413947,
0.013316594064235687,
-0.052070070058107376,
-0.04018161818385124,
0.0037673641927540302,
0.05584258586168289,
-0.014291347935795784,
-0.027833808213472366,
0.01494672056287527,
0.0023461508098989725,
-0.012830874882638454,
-0.006760132033377886,
0.043324925005435944,
-0.008172407746315002,
0.04758579283952713,
-0.0037609904538840055,
0.025621958076953888,
-0.03973919153213501,
0.0685136616230011,
-0.018981697037816048,
0.0008714383584447205,
-0.0777185708284378,
-0.027461405843496323,
-0.0024289744906127453,
0.03798943758010864,
-0.10616759955883026,
0.01005763839930296,
-0.022762998938560486,
-0.10920052975416183,
-0.016787078231573105,
-0.04064710810780525,
-0.02223171293735504,
-0.021176667883992195,
0.025988813489675522,
0.017311707139015198,
-0.04620963707566261,
0.03538094460964203,
-0.0015428285114467144,
0.07949993759393692,
0.029289035126566887,
0.029281480237841606,
0.02199641801416874,
0.005439066328108311,
0.017981138080358505,
0.04206828027963638,
-0.11266634613275528,
0.031077291816473007,
0.05246396362781525,
0.0020090716425329447,
0.0573449470102787,
0.022730598226189613,
-0.04368721693754196,
-0.04290562495589256,
-0.053085148334503174,
0.01837312802672386,
-0.01568599045276642,
-0.02224525809288025,
0.05881030112504959,
-0.04873808100819588,
-0.04271309822797775,
0.01838940568268299,
0.010111323557794094,
0.043877799063920975,
0.017252884805202484,
-0.012941597029566765,
0.045697636902332306,
0.009390769526362419,
-0.0050815073773264885,
0.014786927960813046,
0.03563341870903969,
0.0433674082159996,
0.0035518796648830175,
0.0797041580080986,
-0.08018912374973297,
0.017686989158391953,
0.07863866537809372,
-0.052027538418769836,
0.03250041604042053,
-0.0339425690472126,
0.03953448683023453,
-0.07762227952480316,
-0.020679213106632233,
-0.1315174251794815,
0.03471792861819267,
-0.034965429455041885,
-0.07083084434270859,
0.008961877785623074,
-0.023531712591648102,
-0.06563884019851685,
-0.07660160958766937,
-0.007369892671704292,
0.0023085123393684626,
-0.01684199646115303,
0.06002895534038544,
-0.07661405205726624,
0.04465117305517197,
0.08681157231330872,
0.01266186311841011,
-0.027112940326333046,
-0.0682380273938179,
6.651732689622134e-34,
-0.0047989762388169765,
0.05826156213879585,
0.048406217247247696,
-0.03398839756846428,
0.045696478337049484,
0.0032498862128704786,
-0.014188907109200954,
-0.06255371123552322,
-0.010274741798639297,
0.08806765079498291,
-0.023391608148813248,
0.08540649712085724,
-0.007904116064310074,
0.050887271761894226,
0.053634367883205414,
0.04428848996758461,
0.007199827581644058,
0.03384000062942505,
-0.040192585438489914,
-0.05825737863779068,
0.11197877675294876,
0.012180419638752937,
-0.044274743646383286,
-0.03421777859330177,
0.03021920844912529,
0.03952467069029808,
-0.005982534494251013,
-0.04184728488326073,
0.0026523021515458822,
0.014043901115655899,
-0.037871118634939194,
-0.06529830396175385,
0.047417156398296356,
0.03408052399754524,
0.0025080787017941475,
0.014903116971254349,
0.06087995693087578,
-0.036547526717185974,
0.04714856296777725,
-0.020320434123277664,
0.08384636789560318,
0.05957319959998131,
-0.01725148595869541,
0.011450338177382946,
0.01569903828203678,
0.005444628186523914,
-0.01946277730166912,
0.06576912105083466,
0.021140597760677338,
0.011810427531599998,
-0.008053606376051903,
0.012371470220386982,
-0.09903611987829208,
-0.034951671957969666,
-0.02907552197575569,
0.0026966091245412827,
0.011589123867452145,
0.039946842938661575,
0.04230071231722832,
0.14014530181884766,
0.010366435162723064,
0.043716635555028915,
0.012043001130223274,
-0.058253783732652664,
-0.1262209713459015,
-0.02091059461236,
-0.0621517151594162,
-0.061032868921756744,
0.09204781800508499,
0.05096157267689705,
-0.06018774211406708,
0.052704550325870514,
-0.09415359795093536,
-0.016115181148052216,
0.002298897597938776,
-0.019292861223220825,
0.0014151447685435414,
-0.1350785344839096,
-0.031252071261405945,
0.016285862773656845,
-0.046590935438871384,
0.020176028832793236,
0.06464806199073792,
0.04171374440193176,
0.0111568383872509,
-0.11632689088582993,
-0.018432438373565674,
0.0033469018526375294,
-0.024526413530111313,
-0.04227381944656372,
-0.035545896738767624,
-0.002606843365356326,
0.07141366600990295,
-0.015666315332055092,
0.03418102487921715,
-2.947377229902201e-33,
-0.07481779158115387,
-0.0034083276987075806,
0.03013216145336628,
0.07060515135526657,
-0.08055773377418518,
-0.017510568723082542,
-0.037008628249168396,
-0.00504309730604291,
-0.015312567353248596,
0.040014106780290604,
-0.0065965973772108555,
0.01972484588623047,
-0.03901622071862221,
-0.04036913439631462,
0.04283282905817032,
-0.0581681914627552,
-0.027695104479789734,
0.05215122178196907,
-0.024922197684645653,
0.03444860503077507,
0.047586288303136826,
0.10307322442531586,
-0.06070255860686302,
0.025903552770614624,
0.03228151425719261,
0.0328722707927227,
-0.037754278630018234,
0.02620801143348217,
0.08666026592254639,
0.0640699714422226,
-0.04062426835298538,
-0.061026230454444885,
0.0004416289448272437,
-0.060990992933511734,
-0.04005630686879158,
-0.07774487137794495,
0.07713749259710312,
0.037794724106788635,
-0.011101335287094116,
0.08313984423875809,
0.03703929856419563,
0.014272404834628105,
-0.04259635508060455,
0.007748957723379135,
0.013273528777062893,
-0.009569337591528893,
-0.04327080026268959,
0.05644688010215759,
0.039024922996759415,
0.001111565507017076,
0.0672612115740776,
0.022476349025964737,
-0.03847971931099892,
0.04371322691440582,
-0.0019014617428183556,
0.0190940722823143,
-0.08443017303943634,
0.04093967378139496,
0.06272494792938232,
-0.034971967339515686,
-0.11219863593578339,
-0.10202400386333466,
0.029658645391464233,
-0.04204315319657326,
0.06020679697394371,
-0.11337174475193024,
-0.033304277807474136,
-0.10611848533153534,
-0.02800760604441166,
0.002672906732186675,
0.013602560386061668,
0.019756542518734932,
-0.1443391889333725,
-0.02231184020638466,
-0.0248581413179636,
-0.10398232936859131,
0.04131364822387695,
-0.003508919384330511,
0.011803575791418552,
0.02893262542784214,
-0.006279550958424807,
0.012555685825645924,
0.08761940151453018,
0.03574448078870773,
-0.021031882613897324,
-0.01673341542482376,
0.051757536828517914,
-0.012852227315306664,
0.005599325988441706,
0.02321472391486168,
0.005124931689351797,
0.0718623474240303,
0.010943643748760223,
0.10792968422174454,
-0.022700605913996696,
-4.0024005443228816e-8,
-0.10172618180513382,
-0.08046679943799973,
-0.01780756190419197,
0.013446331955492496,
0.07394207268953323,
-0.052815478295087814,
-0.05796674266457558,
0.06659892946481705,
0.008682726882398129,
-0.06087150052189827,
0.07245365530252457,
0.03867184743285179,
-0.01803164929151535,
-0.024935903027653694,
0.12450961023569107,
0.05852186307311058,
0.03802214935421944,
0.00006016905535943806,
-0.053744129836559296,
0.08946555107831955,
-0.0677308589220047,
0.058344557881355286,
-0.10038115084171295,
-0.009220056235790253,
-0.023943651467561722,
-0.02403319627046585,
0.0005281150224618614,
0.039315905421972275,
0.0693286806344986,
0.08625544607639313,
0.024633415043354034,
0.00641968846321106,
0.0704878717660904,
-0.05293482169508934,
-0.00897993240505457,
0.04583420604467392,
-0.0008682417101226747,
0.06911866366863251,
-0.08254224807024002,
-0.09143400937318802,
-0.040144119411706924,
-0.000611639057751745,
-0.05017605796456337,
0.024849342182278633,
0.06503958255052567,
-0.07510269433259964,
0.03969605267047882,
-0.016521384939551353,
-0.09062135219573975,
0.07499720901250839,
-0.016891460865736008,
-0.033584222197532654,
0.010067366063594818,
-0.04253234341740608,
-0.032000113278627396,
0.013551192358136177,
-0.012888849712908268,
-0.05969587340950966,
0.05727417767047882,
-0.004661313258111477,
0.045439641922712326,
0.006069675553590059,
0.1037207543849945,
0.029049789533019066
] |
1401.7890
|
Xiangju Qin
|
Xiangju Qin, Michael Salter-Townshend, P\'adraig Cunningham
|
Exploring the Relationship between Membership Turnover and Productivity
in Online Communities
| null | null | null | null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the more disruptive reforms associated with the modern Internet is the
emergence of online communities working together on knowledge artefacts such as
Wikipedia and OpenStreetMap. Recently it has become clear that these
initiatives are vulnerable because of problems with membership turnover. This
study presents a longitudinal analysis of 891 WikiProjects where we model the
impact of member turnover and social capital losses on project productivity. By
examining social capital losses we attempt to provide a more nuanced analysis
of member turnover. In this context social capital is modelled from a social
network perspective where the loss of more central members has more impact. We
find that only a small proportion of WikiProjects are in a relatively healthy
state with low levels of membership turnover and social capital losses. The
results show that the relationship between social capital losses and project
performance is U-shaped, and that member withdrawal has significant negative
effect on project outcomes. The results also support the mediation of turnover
rate and network density on the curvilinear relationship.
|
[
{
"created": "Thu, 30 Jan 2014 15:52:46 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Qin",
"Xiangju",
""
],
[
"Salter-Townshend",
"Michael",
""
],
[
"Cunningham",
"Pádraig",
""
]
] |
[
0.05892553552985191,
-0.08363780379295349,
0.035831019282341,
0.03807564452290535,
0.08135312795639038,
-0.013418215326964855,
0.01044854149222374,
0.02489987574517727,
0.05608819052577019,
-0.009568608365952969,
0.023103954270482063,
0.0821848139166832,
0.060510169714689255,
0.017461242154240608,
-0.024946557357907295,
-0.04619581624865532,
-0.09200331568717957,
-0.016383135691285133,
-0.024984853342175484,
-0.07552444934844971,
-0.029849780723452568,
-0.02697744406759739,
0.043703362345695496,
0.04456116631627083,
0.12256859242916107,
-0.021009912714362144,
-0.02774926833808422,
-0.02058708667755127,
0.00005973824954708107,
-0.026027807965874672,
-0.0416543148458004,
0.036643415689468384,
0.021510779857635498,
-0.0533144436776638,
0.011306860484182835,
0.022630194202065468,
0.008984183892607689,
0.05735441669821739,
-0.014906054362654686,
-0.018365997821092606,
-0.03724415972828865,
-0.008870934136211872,
0.0006758879753760993,
0.04171919450163841,
-0.034335337579250336,
0.037781085819005966,
-0.0014225384220480919,
-0.01506123598664999,
-0.12801365554332733,
0.01913401670753956,
0.04034733772277832,
-0.07681555300951004,
0.05967561528086662,
0.008750317618250847,
0.02327163703739643,
-0.03962796553969383,
-0.04744066670536995,
-0.03165091201663017,
-0.026073770597577095,
-0.021895982325077057,
0.044430576264858246,
-0.018614547327160835,
-0.04137120768427849,
-0.02866019494831562,
0.07682687044143677,
0.0016619415255263448,
0.02087780088186264,
0.06164088845252991,
-0.02565838396549225,
0.028705930337309837,
0.04765492305159569,
-0.016943465918302536,
-0.07852920144796371,
0.018003927543759346,
0.05649459362030029,
-0.05041684955358505,
0.04564020410180092,
0.05378721281886101,
0.014061111956834793,
0.012694619596004486,
0.03088032267987728,
0.04729804769158363,
-0.043596867471933365,
0.05770096182823181,
-0.10082090646028519,
-0.02018936537206173,
0.06543885916471481,
0.05470355600118637,
-0.0030852952040731907,
0.01138145662844181,
-0.028787480667233467,
0.06215134635567665,
0.09261775761842728,
-0.01848040148615837,
-0.01821490377187729,
-0.04243786633014679,
0.0307597853243351,
0.02302904985845089,
0.006504212040454149,
0.09745632112026215,
-0.03255004808306694,
0.05273342505097389,
0.04860807582736015,
-0.08638069033622742,
-0.006423921789973974,
0.06415936350822449,
0.02756098471581936,
0.019665183499455452,
0.029182305559515953,
0.08585011214017868,
-0.10427046567201614,
0.017290903255343437,
-0.07208400219678879,
-0.030907180160284042,
0.032365914434194565,
-0.03234994038939476,
-0.027399176731705666,
0.05737020820379257,
0.01619665138423443,
0.0462254136800766,
0.05406408756971359,
0.0411975122988224,
0.025649871677160263,
-0.035550348460674286,
-0.010984191671013832,
0.03740926831960678,
-0.12013660371303558,
1.304907921817671e-33,
0.07131315767765045,
0.006333840545266867,
-0.09567023813724518,
0.11558274924755096,
0.035560958087444305,
-0.055694133043289185,
-0.04254181310534477,
0.051727745682001114,
-0.061769526451826096,
-0.06644521653652191,
-0.030966447666287422,
0.021192211657762527,
0.029360882937908173,
-0.03605516254901886,
0.13919894397258759,
-0.014780203811824322,
0.017601171508431435,
0.022541679441928864,
0.004903316497802734,
-0.02337782084941864,
0.02334013395011425,
-0.03308476507663727,
-0.029823729768395424,
0.03516926243901253,
0.02028062380850315,
-0.028036950156092644,
-0.037172604352235794,
0.04666243493556976,
-0.06930694729089737,
0.006722473539412022,
0.08920292556285858,
0.017763914540410042,
-0.008180520497262478,
-0.023926012217998505,
0.03139764070510864,
0.00032164380536414683,
0.0004621833504643291,
-0.053145233541727066,
0.0875738337635994,
-0.045745786279439926,
-0.12210918962955475,
0.030706701800227165,
-0.028953172266483307,
0.02256319671869278,
0.046293873339891434,
-0.01814311370253563,
0.08824597299098969,
-0.033342037349939346,
0.03984997048974037,
0.003803880652412772,
0.044036537408828735,
0.03367326408624649,
0.03508159518241882,
0.10570061951875687,
-0.037946052849292755,
-0.003298884956166148,
-0.009240267798304558,
0.00778255145996809,
0.0025175802875310183,
-0.05521038547158241,
0.08227722346782684,
0.02481665089726448,
0.004775643348693848,
0.052390605211257935,
-0.020057830959558487,
0.07087460905313492,
-0.018986376002430916,
-0.0038251038640737534,
0.03579963371157646,
0.016119495034217834,
0.023149972781538963,
0.013204053975641727,
-0.13680580258369446,
-0.06770725548267365,
-0.0981430932879448,
0.04587419331073761,
-0.12158756703138351,
-0.0005494228098541498,
0.015637585893273354,
0.05689329653978348,
0.02949933335185051,
-0.041213057935237885,
-0.01678125560283661,
-0.12693950533866882,
0.020856888964772224,
0.03515617921948433,
0.11612094938755035,
-0.006742381490767002,
0.032997652888298035,
0.05192757397890091,
0.007159827742725611,
-0.03283422440290451,
-0.044508278369903564,
0.07659516483545303,
0.015034236945211887,
-1.9430545093558165e-33,
-0.1117909625172615,
-0.06607463210821152,
0.01998322457075119,
-0.030640825629234314,
0.013718090951442719,
-0.011389963328838348,
-0.009746652096509933,
0.001419723266735673,
-0.04791160672903061,
0.020762527361512184,
0.00775666069239378,
-0.09136078506708145,
-0.08209863305091858,
0.06077698990702629,
-0.03034731186926365,
-0.044374849647283554,
0.08731287717819214,
-0.08436664193868637,
0.00897651445120573,
-0.03460243344306946,
0.010458488948643208,
0.018072767183184624,
-0.02787327766418457,
0.0038292231038212776,
0.08202757686376572,
-0.006582838483154774,
-0.045712221413850784,
0.00863727182149887,
-0.03326063230633736,
-0.01528662908822298,
0.007731275167316198,
-0.037372998893260956,
-0.021639278158545494,
0.018929634243249893,
-0.039388258010149,
0.06027011200785637,
-0.08862310647964478,
-0.10073510557413101,
-0.008004551753401756,
-0.05499738082289696,
0.01935836486518383,
0.024096081033349037,
0.017853694036602974,
-0.031166814267635345,
-0.04944417253136635,
0.08454201370477676,
-0.024477636441588402,
-0.051351260393857956,
-0.027814751490950584,
-0.03877420723438263,
0.07965642213821411,
0.059871792793273926,
0.0461064912378788,
-0.01645379513502121,
0.015437326394021511,
0.027104124426841736,
-0.01667894423007965,
-0.02948659285902977,
-0.009913433343172073,
0.03276296332478523,
-0.028850743547081947,
-0.03558938577771187,
-0.0524723194539547,
0.12608174979686737,
-0.0295578483492136,
-0.10386040806770325,
0.012641365639865398,
0.04241155833005905,
-0.07872956246137619,
0.04095819592475891,
-0.026991043239831924,
0.06262285262346268,
-0.04153497517108917,
-0.025243593379855156,
-0.048571404069662094,
-0.02238631434738636,
0.026604091748595238,
0.06971673667430878,
-0.029268397018313408,
-0.04690567031502724,
-0.06055007502436638,
0.04221828654408455,
0.08577542752027512,
-0.0900445431470871,
0.009667887352406979,
0.008302384056150913,
0.018876424059271812,
0.06866152584552765,
-0.01755555346608162,
0.008761330507695675,
0.01134832389652729,
-0.13987678289413452,
-0.02626105025410652,
0.01323533896356821,
0.011196732521057129,
-4.03951752048215e-8,
-0.017868591472506523,
0.05760103091597557,
-0.05827679485082626,
0.057629168033599854,
0.05714968591928482,
-0.04186468943953514,
0.0010356487473472953,
0.0690264031291008,
-0.02008339762687683,
0.06877173483371735,
-0.004905718378722668,
0.008801579475402832,
-0.06478557735681534,
0.044043295085430145,
0.023126212880015373,
0.027919594198465347,
-0.030035173520445824,
0.05770640820264816,
-0.01504450011998415,
-0.05444690212607384,
0.06932113319635391,
-0.011504561640322208,
-0.038387589156627655,
-0.027188993990421295,
0.01663711667060852,
0.04395746812224388,
-0.03288896381855011,
0.11265984177589417,
0.033623404800891876,
-0.09241823107004166,
-0.025549279525876045,
0.012926171533763409,
-0.06703972816467285,
-0.0560796894133091,
-0.0009979117894545197,
0.0491558201611042,
-0.08275575935840607,
0.0005168967763893306,
-0.023841479793190956,
0.10233616828918457,
0.02761208452284336,
0.05128908529877663,
0.048240646719932556,
0.08340703696012497,
-0.024002548307180405,
0.01961708813905716,
-0.07053224742412567,
0.04286351054906845,
-0.013837244361639023,
-0.1663818210363388,
0.035313837230205536,
-0.03807619959115982,
0.018703637644648552,
0.04206807166337967,
0.039888374507427216,
-0.06981148570775986,
0.04540497437119484,
0.08873569965362549,
-0.0631328672170639,
-0.0613853745162487,
0.012604963965713978,
-0.0878629982471466,
-0.07687368243932724,
-0.017098374664783478
] | null | null | null | null | null | null | null |
[
0.05892553552985191,
-0.08363780379295349,
0.035831019282341,
0.03807564452290535,
0.08135312795639038,
-0.013418215326964855,
0.01044854149222374,
0.02489987574517727,
0.05608819052577019,
-0.009568608365952969,
0.023103954270482063,
0.0821848139166832,
0.060510169714689255,
0.017461242154240608,
-0.024946557357907295,
-0.04619581624865532,
-0.09200331568717957,
-0.016383135691285133,
-0.024984853342175484,
-0.07552444934844971,
-0.029849780723452568,
-0.02697744406759739,
0.043703362345695496,
0.04456116631627083,
0.12256859242916107,
-0.021009912714362144,
-0.02774926833808422,
-0.02058708667755127,
0.00005973824954708107,
-0.026027807965874672,
-0.0416543148458004,
0.036643415689468384,
0.021510779857635498,
-0.0533144436776638,
0.011306860484182835,
0.022630194202065468,
0.008984183892607689,
0.05735441669821739,
-0.014906054362654686,
-0.018365997821092606,
-0.03724415972828865,
-0.008870934136211872,
0.0006758879753760993,
0.04171919450163841,
-0.034335337579250336,
0.037781085819005966,
-0.0014225384220480919,
-0.01506123598664999,
-0.12801365554332733,
0.01913401670753956,
0.04034733772277832,
-0.07681555300951004,
0.05967561528086662,
0.008750317618250847,
0.02327163703739643,
-0.03962796553969383,
-0.04744066670536995,
-0.03165091201663017,
-0.026073770597577095,
-0.021895982325077057,
0.044430576264858246,
-0.018614547327160835,
-0.04137120768427849,
-0.02866019494831562,
0.07682687044143677,
0.0016619415255263448,
0.02087780088186264,
0.06164088845252991,
-0.02565838396549225,
0.028705930337309837,
0.04765492305159569,
-0.016943465918302536,
-0.07852920144796371,
0.018003927543759346,
0.05649459362030029,
-0.05041684955358505,
0.04564020410180092,
0.05378721281886101,
0.014061111956834793,
0.012694619596004486,
0.03088032267987728,
0.04729804769158363,
-0.043596867471933365,
0.05770096182823181,
-0.10082090646028519,
-0.02018936537206173,
0.06543885916471481,
0.05470355600118637,
-0.0030852952040731907,
0.01138145662844181,
-0.028787480667233467,
0.06215134635567665,
0.09261775761842728,
-0.01848040148615837,
-0.01821490377187729,
-0.04243786633014679,
0.0307597853243351,
0.02302904985845089,
0.006504212040454149,
0.09745632112026215,
-0.03255004808306694,
0.05273342505097389,
0.04860807582736015,
-0.08638069033622742,
-0.006423921789973974,
0.06415936350822449,
0.02756098471581936,
0.019665183499455452,
0.029182305559515953,
0.08585011214017868,
-0.10427046567201614,
0.017290903255343437,
-0.07208400219678879,
-0.030907180160284042,
0.032365914434194565,
-0.03234994038939476,
-0.027399176731705666,
0.05737020820379257,
0.01619665138423443,
0.0462254136800766,
0.05406408756971359,
0.0411975122988224,
0.025649871677160263,
-0.035550348460674286,
-0.010984191671013832,
0.03740926831960678,
-0.12013660371303558,
1.304907921817671e-33,
0.07131315767765045,
0.006333840545266867,
-0.09567023813724518,
0.11558274924755096,
0.035560958087444305,
-0.055694133043289185,
-0.04254181310534477,
0.051727745682001114,
-0.061769526451826096,
-0.06644521653652191,
-0.030966447666287422,
0.021192211657762527,
0.029360882937908173,
-0.03605516254901886,
0.13919894397258759,
-0.014780203811824322,
0.017601171508431435,
0.022541679441928864,
0.004903316497802734,
-0.02337782084941864,
0.02334013395011425,
-0.03308476507663727,
-0.029823729768395424,
0.03516926243901253,
0.02028062380850315,
-0.028036950156092644,
-0.037172604352235794,
0.04666243493556976,
-0.06930694729089737,
0.006722473539412022,
0.08920292556285858,
0.017763914540410042,
-0.008180520497262478,
-0.023926012217998505,
0.03139764070510864,
0.00032164380536414683,
0.0004621833504643291,
-0.053145233541727066,
0.0875738337635994,
-0.045745786279439926,
-0.12210918962955475,
0.030706701800227165,
-0.028953172266483307,
0.02256319671869278,
0.046293873339891434,
-0.01814311370253563,
0.08824597299098969,
-0.033342037349939346,
0.03984997048974037,
0.003803880652412772,
0.044036537408828735,
0.03367326408624649,
0.03508159518241882,
0.10570061951875687,
-0.037946052849292755,
-0.003298884956166148,
-0.009240267798304558,
0.00778255145996809,
0.0025175802875310183,
-0.05521038547158241,
0.08227722346782684,
0.02481665089726448,
0.004775643348693848,
0.052390605211257935,
-0.020057830959558487,
0.07087460905313492,
-0.018986376002430916,
-0.0038251038640737534,
0.03579963371157646,
0.016119495034217834,
0.023149972781538963,
0.013204053975641727,
-0.13680580258369446,
-0.06770725548267365,
-0.0981430932879448,
0.04587419331073761,
-0.12158756703138351,
-0.0005494228098541498,
0.015637585893273354,
0.05689329653978348,
0.02949933335185051,
-0.041213057935237885,
-0.01678125560283661,
-0.12693950533866882,
0.020856888964772224,
0.03515617921948433,
0.11612094938755035,
-0.006742381490767002,
0.032997652888298035,
0.05192757397890091,
0.007159827742725611,
-0.03283422440290451,
-0.044508278369903564,
0.07659516483545303,
0.015034236945211887,
-1.9430545093558165e-33,
-0.1117909625172615,
-0.06607463210821152,
0.01998322457075119,
-0.030640825629234314,
0.013718090951442719,
-0.011389963328838348,
-0.009746652096509933,
0.001419723266735673,
-0.04791160672903061,
0.020762527361512184,
0.00775666069239378,
-0.09136078506708145,
-0.08209863305091858,
0.06077698990702629,
-0.03034731186926365,
-0.044374849647283554,
0.08731287717819214,
-0.08436664193868637,
0.00897651445120573,
-0.03460243344306946,
0.010458488948643208,
0.018072767183184624,
-0.02787327766418457,
0.0038292231038212776,
0.08202757686376572,
-0.006582838483154774,
-0.045712221413850784,
0.00863727182149887,
-0.03326063230633736,
-0.01528662908822298,
0.007731275167316198,
-0.037372998893260956,
-0.021639278158545494,
0.018929634243249893,
-0.039388258010149,
0.06027011200785637,
-0.08862310647964478,
-0.10073510557413101,
-0.008004551753401756,
-0.05499738082289696,
0.01935836486518383,
0.024096081033349037,
0.017853694036602974,
-0.031166814267635345,
-0.04944417253136635,
0.08454201370477676,
-0.024477636441588402,
-0.051351260393857956,
-0.027814751490950584,
-0.03877420723438263,
0.07965642213821411,
0.059871792793273926,
0.0461064912378788,
-0.01645379513502121,
0.015437326394021511,
0.027104124426841736,
-0.01667894423007965,
-0.02948659285902977,
-0.009913433343172073,
0.03276296332478523,
-0.028850743547081947,
-0.03558938577771187,
-0.0524723194539547,
0.12608174979686737,
-0.0295578483492136,
-0.10386040806770325,
0.012641365639865398,
0.04241155833005905,
-0.07872956246137619,
0.04095819592475891,
-0.026991043239831924,
0.06262285262346268,
-0.04153497517108917,
-0.025243593379855156,
-0.048571404069662094,
-0.02238631434738636,
0.026604091748595238,
0.06971673667430878,
-0.029268397018313408,
-0.04690567031502724,
-0.06055007502436638,
0.04221828654408455,
0.08577542752027512,
-0.0900445431470871,
0.009667887352406979,
0.008302384056150913,
0.018876424059271812,
0.06866152584552765,
-0.01755555346608162,
0.008761330507695675,
0.01134832389652729,
-0.13987678289413452,
-0.02626105025410652,
0.01323533896356821,
0.011196732521057129,
-4.03951752048215e-8,
-0.017868591472506523,
0.05760103091597557,
-0.05827679485082626,
0.057629168033599854,
0.05714968591928482,
-0.04186468943953514,
0.0010356487473472953,
0.0690264031291008,
-0.02008339762687683,
0.06877173483371735,
-0.004905718378722668,
0.008801579475402832,
-0.06478557735681534,
0.044043295085430145,
0.023126212880015373,
0.027919594198465347,
-0.030035173520445824,
0.05770640820264816,
-0.01504450011998415,
-0.05444690212607384,
0.06932113319635391,
-0.011504561640322208,
-0.038387589156627655,
-0.027188993990421295,
0.01663711667060852,
0.04395746812224388,
-0.03288896381855011,
0.11265984177589417,
0.033623404800891876,
-0.09241823107004166,
-0.025549279525876045,
0.012926171533763409,
-0.06703972816467285,
-0.0560796894133091,
-0.0009979117894545197,
0.0491558201611042,
-0.08275575935840607,
0.0005168967763893306,
-0.023841479793190956,
0.10233616828918457,
0.02761208452284336,
0.05128908529877663,
0.048240646719932556,
0.08340703696012497,
-0.024002548307180405,
0.01961708813905716,
-0.07053224742412567,
0.04286351054906845,
-0.013837244361639023,
-0.1663818210363388,
0.035313837230205536,
-0.03807619959115982,
0.018703637644648552,
0.04206807166337967,
0.039888374507427216,
-0.06981148570775986,
0.04540497437119484,
0.08873569965362549,
-0.0631328672170639,
-0.0613853745162487,
0.012604963965713978,
-0.0878629982471466,
-0.07687368243932724,
-0.017098374664783478
] |
1401.7892
|
Arash Mafi
|
Elham Nazemosadat and Arash Mafi
|
Nonlinear switching in a concentric ring core chalcogenide glass optical
fiber for passively mode-locking a fiber laser
| null | null |
10.1364/OL.39.004675
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an all-fiber mode-locking device which operates based on nonlinear
switching in a novel concentric ring core fiber structure. The design is
particularly attractive given the ease of fabrication and coupling to other
components in a mode-locked fiber laser cavity. The nonlinear switching in this
coupler is studied and the relative power transmission is obtained. The
analysis shows that this nonlinear switch is practical for mode-locking fiber
lasers and is forgiving to fabrication errors.
|
[
{
"created": "Thu, 30 Jan 2014 15:54:01 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Nazemosadat",
"Elham",
""
],
[
"Mafi",
"Arash",
""
]
] |
[
0.0010333575773984194,
-0.04977313429117203,
-0.01172381080687046,
0.00036158348666504025,
-0.09132283926010132,
-0.0017938342643901706,
0.007995730265974998,
-0.010168463923037052,
-0.0017905642744153738,
0.03804958984255791,
0.03493551164865494,
0.10141104459762573,
-0.06965726613998413,
-0.05884259194135666,
0.03153742104768753,
0.08928453922271729,
-0.0403660349547863,
0.002492931205779314,
0.10169699788093567,
0.08695177733898163,
0.07878406345844269,
-0.02984585054218769,
0.00976099818944931,
0.015183690935373306,
-0.03701208531856537,
-0.009183674119412899,
0.020270828157663345,
0.06318023800849915,
-0.03724061697721481,
0.02737872302532196,
-0.034005094319581985,
-0.041951101273298264,
-0.04323264956474304,
0.03508038446307182,
-0.05736260488629341,
-0.02483367547392845,
-0.053056564182043076,
-0.022723954170942307,
-0.0499725341796875,
-0.06593168526887894,
0.05732777714729309,
-0.06975508481264114,
0.05741923302412033,
0.07386036217212677,
-0.04036014899611473,
0.025788208469748497,
-0.09016461670398712,
-0.023188278079032898,
-0.01648849993944168,
-0.01656043902039528,
-0.04312191903591156,
0.032036762684583664,
-0.03532346338033676,
0.00217275763861835,
0.12277822196483612,
0.09411108493804932,
0.05500958114862442,
0.03133106604218483,
-0.014842906966805458,
-0.047646164894104004,
0.06207618489861488,
-0.01969294436275959,
-0.020377274602651596,
-0.06671223044395447,
-0.0011447473661974072,
0.03689749911427498,
0.02641298994421959,
0.006120938807725906,
-0.06448664516210556,
-0.03818918392062187,
0.07658412307500839,
-0.08906722068786621,
0.0048301490023732185,
-0.01054671686142683,
0.07390839606523514,
0.005566249135881662,
-0.042028725147247314,
0.04791959747672081,
-0.042116615921258926,
0.03620554506778717,
0.048731815069913864,
-0.01141846738755703,
0.07460956275463104,
0.04763356223702431,
-0.01831590011715889,
0.020181778818368912,
0.07866774499416351,
0.023680677637457848,
-0.06393040716648102,
-0.1500379890203476,
-0.05898566544055939,
-0.0167761892080307,
0.07512344419956207,
-0.06965970993041992,
0.0020562142599374056,
-0.12068627774715424,
0.014252057299017906,
0.0041477270424366,
-0.0326460637152195,
-0.05530703067779541,
0.06092292442917824,
-0.03834548592567444,
0.004636490251868963,
-0.05160699039697647,
-0.08651090413331985,
0.03325744718313217,
0.03348427265882492,
0.045346058905124664,
-0.12059668451547623,
-0.044829025864601135,
-0.0054355887696146965,
0.019584398716688156,
-0.08036607503890991,
-0.0067589194513857365,
-0.008069191128015518,
0.02381998673081398,
0.031403228640556335,
0.0481666624546051,
0.06788146495819092,
0.09888991713523865,
-0.09415743499994278,
0.011723745614290237,
0.023492565378546715,
-0.03992914780974388,
-0.10529767721891403,
0.05351656675338745,
0.03336864709854126,
-1.4418856152896036e-33,
0.033300239592790604,
-0.023589052259922028,
-0.04580622911453247,
-0.056015875190496445,
-0.10796535015106201,
-0.0004504600365180522,
0.01593518629670143,
-0.05196532979607582,
-0.019880464300513268,
0.0042898389510810375,
0.04553614929318428,
-0.017238527536392212,
-0.025905603542923927,
0.017169829457998276,
0.031716398894786835,
-0.023174814879894257,
0.06506550312042236,
-0.029236745089292526,
0.06896565109491348,
-0.0048678116872906685,
-0.01072627678513527,
0.030816789716482162,
-0.0017770337872207165,
0.06588604301214218,
-0.025357602164149284,
-0.06184323877096176,
-0.02348775416612625,
-0.03568853437900543,
-0.011370626278221607,
-0.02905452623963356,
-0.0005133585655130446,
0.07885313034057617,
0.03757017105817795,
0.011152715422213078,
0.046476446092128754,
0.0441184863448143,
-0.023065557703375816,
0.03930681571364403,
-0.03611258044838905,
0.04360399395227432,
-0.02120610885322094,
-0.05310917645692825,
0.06462422013282776,
0.01574406959116459,
-0.01051472220569849,
-0.043840888887643814,
-0.090967558324337,
-0.00658532977104187,
-0.014056033454835415,
0.002999819815158844,
0.013710311613976955,
-0.014030123129487038,
-0.03573205694556236,
0.06515257060527802,
0.036988839507102966,
-0.03629390895366669,
0.017954859882593155,
0.09155308455228806,
0.05572599545121193,
-0.05332588404417038,
0.0196989718824625,
-0.1383906453847885,
0.08605227619409561,
-0.11938723921775818,
-0.010494406335055828,
0.06055542081594467,
0.04126572981476784,
-0.08603813499212265,
-0.05207038298249245,
0.031833041459321976,
-0.031406812369823456,
0.06027725338935852,
-0.1232437714934349,
-0.05206592381000519,
-0.02388606034219265,
0.03248526155948639,
-0.05914349853992462,
-0.02590661682188511,
-0.02443527616560459,
-0.017461631447076797,
0.060229141265153885,
0.02481094002723694,
0.0971340611577034,
0.06970367580652237,
0.00468294695019722,
-0.0005828916328027844,
-0.03603089228272438,
0.06967555731534958,
-0.022334866225719452,
0.05476357042789459,
0.07267210632562637,
-0.014363929629325867,
0.06390704959630966,
-0.0032392386347055435,
0.01394111942499876,
1.2579086271004227e-33,
-0.018024498596787453,
-0.024577466771006584,
0.06881485134363174,
0.09001032263040543,
0.10151509195566177,
0.03877522796392441,
0.06607478857040405,
-0.030630454421043396,
-0.009079806506633759,
0.019834866747260094,
0.0695221796631813,
-0.009598683565855026,
-0.029033994302153587,
-0.008711948990821838,
0.0335547961294651,
0.015192735940217972,
-0.04089411348104477,
-0.024249739944934845,
0.006157504394650459,
0.07022539526224136,
0.07151196897029877,
-0.012197420932352543,
0.015321848914027214,
0.029231395572423935,
-0.06029706075787544,
-0.005599135998636484,
-0.06552548706531525,
0.04466528445482254,
0.024781670421361923,
-0.01120984647423029,
0.012716269120573997,
0.04692152887582779,
0.059381723403930664,
0.07803615927696228,
-0.051237523555755615,
0.018237140029668808,
-0.05495390668511391,
0.06281789392232895,
-0.015769056975841522,
-0.005563684739172459,
-0.0632130354642868,
0.04894084110856056,
0.0520627535879612,
0.003392252139747143,
-0.02572092041373253,
-0.05459008365869522,
0.05515170469880104,
-0.0873529240489006,
-0.08935674279928207,
0.0008541450370103121,
-0.0110621964558959,
0.037188708782196045,
0.014113925397396088,
-0.030303766950964928,
0.0017308840760961175,
0.031105969101190567,
-0.03881245478987694,
-0.009761964902281761,
-0.04599384218454361,
0.06527300179004669,
0.016773581504821777,
-0.003286037128418684,
0.13179808855056763,
0.037072066217660904,
0.06455761194229126,
0.04178059473633766,
-0.006720731966197491,
-0.05032246187329292,
-0.10360876470804214,
-0.036829624325037,
0.002273743273690343,
0.043238092213869095,
0.02590705268085003,
0.03761570528149605,
0.025995513424277306,
-0.07109896093606949,
-0.034284044057130814,
0.022104518488049507,
0.05903615802526474,
0.09578587859869003,
0.0382034033536911,
0.011647944338619709,
-0.026481980457901955,
0.004379150457680225,
-0.04180099442601204,
0.0025215321220457554,
0.06369051337242126,
-0.05040573701262474,
-0.029946966096758842,
-0.04719042032957077,
-0.03685583919286728,
-0.04215202108025551,
-0.021020667627453804,
-0.055162813514471054,
0.13221703469753265,
-3.330030651227389e-8,
0.01292455568909645,
0.01713496260344982,
-0.1148439273238182,
0.10501536726951599,
0.0001289107749471441,
-0.06203343719244003,
0.021684149280190468,
-0.0040554748848080635,
-0.01814584992825985,
0.018468599766492844,
-0.020167401060461998,
-0.0000015114733287191484,
-0.019552063196897507,
0.0021454941015690565,
0.007297700271010399,
0.019748449325561523,
0.08032020181417465,
-0.02575126849114895,
0.005910816602408886,
0.03655405715107918,
0.009187671355903149,
-0.018559228628873825,
0.053341545164585114,
-0.015900952741503716,
-0.03725230321288109,
-0.012183654122054577,
-0.03233640640974045,
0.07085519284009933,
0.09179556369781494,
0.018341833725571632,
0.00014914688654243946,
-0.061808548867702484,
-0.03520166873931885,
0.053504496812820435,
-0.09370055794715881,
0.017171813175082207,
-0.031407542526721954,
0.041025713086128235,
0.076968252658844,
-0.028969483450055122,
0.13150522112846375,
-0.07103745639324188,
-0.028450464829802513,
0.00967000424861908,
-0.061241548508405685,
0.0695335641503334,
0.0667070746421814,
-0.008102343417704105,
-0.07569478452205658,
0.12524665892124176,
-0.0006831421051174402,
0.012477331794798374,
0.033761754631996155,
-0.02464374527335167,
-0.006987444125115871,
-0.0025836422573775053,
0.11045467108488083,
0.030071869492530823,
0.031277552247047424,
-0.029862847179174423,
-0.03741962090134621,
-0.08476021140813828,
-0.020083941519260406,
-0.005142479669302702
] | null | null | null | null | null | null | null |
[
0.0010333575773984194,
-0.04977313429117203,
-0.01172381080687046,
0.00036158348666504025,
-0.09132283926010132,
-0.0017938342643901706,
0.007995730265974998,
-0.010168463923037052,
-0.0017905642744153738,
0.03804958984255791,
0.03493551164865494,
0.10141104459762573,
-0.06965726613998413,
-0.05884259194135666,
0.03153742104768753,
0.08928453922271729,
-0.0403660349547863,
0.002492931205779314,
0.10169699788093567,
0.08695177733898163,
0.07878406345844269,
-0.02984585054218769,
0.00976099818944931,
0.015183690935373306,
-0.03701208531856537,
-0.009183674119412899,
0.020270828157663345,
0.06318023800849915,
-0.03724061697721481,
0.02737872302532196,
-0.034005094319581985,
-0.041951101273298264,
-0.04323264956474304,
0.03508038446307182,
-0.05736260488629341,
-0.02483367547392845,
-0.053056564182043076,
-0.022723954170942307,
-0.0499725341796875,
-0.06593168526887894,
0.05732777714729309,
-0.06975508481264114,
0.05741923302412033,
0.07386036217212677,
-0.04036014899611473,
0.025788208469748497,
-0.09016461670398712,
-0.023188278079032898,
-0.01648849993944168,
-0.01656043902039528,
-0.04312191903591156,
0.032036762684583664,
-0.03532346338033676,
0.00217275763861835,
0.12277822196483612,
0.09411108493804932,
0.05500958114862442,
0.03133106604218483,
-0.014842906966805458,
-0.047646164894104004,
0.06207618489861488,
-0.01969294436275959,
-0.020377274602651596,
-0.06671223044395447,
-0.0011447473661974072,
0.03689749911427498,
0.02641298994421959,
0.006120938807725906,
-0.06448664516210556,
-0.03818918392062187,
0.07658412307500839,
-0.08906722068786621,
0.0048301490023732185,
-0.01054671686142683,
0.07390839606523514,
0.005566249135881662,
-0.042028725147247314,
0.04791959747672081,
-0.042116615921258926,
0.03620554506778717,
0.048731815069913864,
-0.01141846738755703,
0.07460956275463104,
0.04763356223702431,
-0.01831590011715889,
0.020181778818368912,
0.07866774499416351,
0.023680677637457848,
-0.06393040716648102,
-0.1500379890203476,
-0.05898566544055939,
-0.0167761892080307,
0.07512344419956207,
-0.06965970993041992,
0.0020562142599374056,
-0.12068627774715424,
0.014252057299017906,
0.0041477270424366,
-0.0326460637152195,
-0.05530703067779541,
0.06092292442917824,
-0.03834548592567444,
0.004636490251868963,
-0.05160699039697647,
-0.08651090413331985,
0.03325744718313217,
0.03348427265882492,
0.045346058905124664,
-0.12059668451547623,
-0.044829025864601135,
-0.0054355887696146965,
0.019584398716688156,
-0.08036607503890991,
-0.0067589194513857365,
-0.008069191128015518,
0.02381998673081398,
0.031403228640556335,
0.0481666624546051,
0.06788146495819092,
0.09888991713523865,
-0.09415743499994278,
0.011723745614290237,
0.023492565378546715,
-0.03992914780974388,
-0.10529767721891403,
0.05351656675338745,
0.03336864709854126,
-1.4418856152896036e-33,
0.033300239592790604,
-0.023589052259922028,
-0.04580622911453247,
-0.056015875190496445,
-0.10796535015106201,
-0.0004504600365180522,
0.01593518629670143,
-0.05196532979607582,
-0.019880464300513268,
0.0042898389510810375,
0.04553614929318428,
-0.017238527536392212,
-0.025905603542923927,
0.017169829457998276,
0.031716398894786835,
-0.023174814879894257,
0.06506550312042236,
-0.029236745089292526,
0.06896565109491348,
-0.0048678116872906685,
-0.01072627678513527,
0.030816789716482162,
-0.0017770337872207165,
0.06588604301214218,
-0.025357602164149284,
-0.06184323877096176,
-0.02348775416612625,
-0.03568853437900543,
-0.011370626278221607,
-0.02905452623963356,
-0.0005133585655130446,
0.07885313034057617,
0.03757017105817795,
0.011152715422213078,
0.046476446092128754,
0.0441184863448143,
-0.023065557703375816,
0.03930681571364403,
-0.03611258044838905,
0.04360399395227432,
-0.02120610885322094,
-0.05310917645692825,
0.06462422013282776,
0.01574406959116459,
-0.01051472220569849,
-0.043840888887643814,
-0.090967558324337,
-0.00658532977104187,
-0.014056033454835415,
0.002999819815158844,
0.013710311613976955,
-0.014030123129487038,
-0.03573205694556236,
0.06515257060527802,
0.036988839507102966,
-0.03629390895366669,
0.017954859882593155,
0.09155308455228806,
0.05572599545121193,
-0.05332588404417038,
0.0196989718824625,
-0.1383906453847885,
0.08605227619409561,
-0.11938723921775818,
-0.010494406335055828,
0.06055542081594467,
0.04126572981476784,
-0.08603813499212265,
-0.05207038298249245,
0.031833041459321976,
-0.031406812369823456,
0.06027725338935852,
-0.1232437714934349,
-0.05206592381000519,
-0.02388606034219265,
0.03248526155948639,
-0.05914349853992462,
-0.02590661682188511,
-0.02443527616560459,
-0.017461631447076797,
0.060229141265153885,
0.02481094002723694,
0.0971340611577034,
0.06970367580652237,
0.00468294695019722,
-0.0005828916328027844,
-0.03603089228272438,
0.06967555731534958,
-0.022334866225719452,
0.05476357042789459,
0.07267210632562637,
-0.014363929629325867,
0.06390704959630966,
-0.0032392386347055435,
0.01394111942499876,
1.2579086271004227e-33,
-0.018024498596787453,
-0.024577466771006584,
0.06881485134363174,
0.09001032263040543,
0.10151509195566177,
0.03877522796392441,
0.06607478857040405,
-0.030630454421043396,
-0.009079806506633759,
0.019834866747260094,
0.0695221796631813,
-0.009598683565855026,
-0.029033994302153587,
-0.008711948990821838,
0.0335547961294651,
0.015192735940217972,
-0.04089411348104477,
-0.024249739944934845,
0.006157504394650459,
0.07022539526224136,
0.07151196897029877,
-0.012197420932352543,
0.015321848914027214,
0.029231395572423935,
-0.06029706075787544,
-0.005599135998636484,
-0.06552548706531525,
0.04466528445482254,
0.024781670421361923,
-0.01120984647423029,
0.012716269120573997,
0.04692152887582779,
0.059381723403930664,
0.07803615927696228,
-0.051237523555755615,
0.018237140029668808,
-0.05495390668511391,
0.06281789392232895,
-0.015769056975841522,
-0.005563684739172459,
-0.0632130354642868,
0.04894084110856056,
0.0520627535879612,
0.003392252139747143,
-0.02572092041373253,
-0.05459008365869522,
0.05515170469880104,
-0.0873529240489006,
-0.08935674279928207,
0.0008541450370103121,
-0.0110621964558959,
0.037188708782196045,
0.014113925397396088,
-0.030303766950964928,
0.0017308840760961175,
0.031105969101190567,
-0.03881245478987694,
-0.009761964902281761,
-0.04599384218454361,
0.06527300179004669,
0.016773581504821777,
-0.003286037128418684,
0.13179808855056763,
0.037072066217660904,
0.06455761194229126,
0.04178059473633766,
-0.006720731966197491,
-0.05032246187329292,
-0.10360876470804214,
-0.036829624325037,
0.002273743273690343,
0.043238092213869095,
0.02590705268085003,
0.03761570528149605,
0.025995513424277306,
-0.07109896093606949,
-0.034284044057130814,
0.022104518488049507,
0.05903615802526474,
0.09578587859869003,
0.0382034033536911,
0.011647944338619709,
-0.026481980457901955,
0.004379150457680225,
-0.04180099442601204,
0.0025215321220457554,
0.06369051337242126,
-0.05040573701262474,
-0.029946966096758842,
-0.04719042032957077,
-0.03685583919286728,
-0.04215202108025551,
-0.021020667627453804,
-0.055162813514471054,
0.13221703469753265,
-3.330030651227389e-8,
0.01292455568909645,
0.01713496260344982,
-0.1148439273238182,
0.10501536726951599,
0.0001289107749471441,
-0.06203343719244003,
0.021684149280190468,
-0.0040554748848080635,
-0.01814584992825985,
0.018468599766492844,
-0.020167401060461998,
-0.0000015114733287191484,
-0.019552063196897507,
0.0021454941015690565,
0.007297700271010399,
0.019748449325561523,
0.08032020181417465,
-0.02575126849114895,
0.005910816602408886,
0.03655405715107918,
0.009187671355903149,
-0.018559228628873825,
0.053341545164585114,
-0.015900952741503716,
-0.03725230321288109,
-0.012183654122054577,
-0.03233640640974045,
0.07085519284009933,
0.09179556369781494,
0.018341833725571632,
0.00014914688654243946,
-0.061808548867702484,
-0.03520166873931885,
0.053504496812820435,
-0.09370055794715881,
0.017171813175082207,
-0.031407542526721954,
0.041025713086128235,
0.076968252658844,
-0.028969483450055122,
0.13150522112846375,
-0.07103745639324188,
-0.028450464829802513,
0.00967000424861908,
-0.061241548508405685,
0.0695335641503334,
0.0667070746421814,
-0.008102343417704105,
-0.07569478452205658,
0.12524665892124176,
-0.0006831421051174402,
0.012477331794798374,
0.033761754631996155,
-0.02464374527335167,
-0.006987444125115871,
-0.0025836422573775053,
0.11045467108488083,
0.030071869492530823,
0.031277552247047424,
-0.029862847179174423,
-0.03741962090134621,
-0.08476021140813828,
-0.020083941519260406,
-0.005142479669302702
] |
1401.7898
|
Aryeh Kontorovich
|
Aryeh Kontorovich and Roi Weiss
|
Maximum Margin Multiclass Nearest Neighbors
| null | null | null | null |
cs.LG math.ST stat.TH
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a general framework for margin-based multicategory classification
in metric spaces. The basic work-horse is a margin-regularized version of the
nearest-neighbor classifier. We prove generalization bounds that match the
state of the art in sample size $n$ and significantly improve the dependence on
the number of classes $k$. Our point of departure is a nearly Bayes-optimal
finite-sample risk bound independent of $k$. Although $k$-free, this bound is
unregularized and non-adaptive, which motivates our main result: Rademacher and
scale-sensitive margin bounds with a logarithmic dependence on $k$. As the best
previous risk estimates in this setting were of order $\sqrt k$, our bound is
exponentially sharper. From the algorithmic standpoint, in doubling metric
spaces our classifier may be trained on $n$ examples in $O(n^2\log n)$ time and
evaluated on new points in $O(\log n)$ time.
|
[
{
"created": "Thu, 30 Jan 2014 16:00:43 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Kontorovich",
"Aryeh",
""
],
[
"Weiss",
"Roi",
""
]
] |
[
-0.03011295758187771,
-0.08079814165830612,
-0.02021743357181549,
-0.07039924710988998,
0.06739621609449387,
0.041406769305467606,
-0.025368429720401764,
-0.02598031982779503,
0.07694247364997864,
0.0081000542268157,
-0.07356884330511093,
-0.01853482611477375,
0.04511096328496933,
-0.02468332275748253,
-0.01845795102417469,
-0.03757311776280403,
0.03634257987141609,
0.06206255033612251,
-0.08410336077213287,
0.042071860283613205,
0.019531942903995514,
0.03655458986759186,
0.07851199060678482,
-0.031201468780636787,
-0.02104734256863594,
-0.11034902185201645,
0.07531970739364624,
0.019137609750032425,
-0.009982489049434662,
0.0005838732467964292,
-0.022090056911110878,
-0.013188748620450497,
0.05336993187665939,
-0.005245694890618324,
-0.024512460455298424,
-0.011632246896624565,
-0.019451355561614037,
0.05632688105106354,
0.03235567361116409,
0.09556092321872711,
-0.03421078994870186,
0.03629850223660469,
0.06374413520097733,
0.02722635120153427,
0.012939535081386566,
0.0006560233305208385,
-0.0171002596616745,
-0.056084394454956055,
-0.0027949167415499687,
-0.06160363927483559,
0.0015405341982841492,
-0.00254492973908782,
-0.08926884829998016,
0.025423754006624222,
-0.04691619426012039,
-0.028092598542571068,
-0.051993705332279205,
-0.05869759991765022,
-0.037366870790719986,
0.018329724669456482,
0.04276237264275551,
-0.051769837737083435,
0.024483071640133858,
-0.020514052361249924,
-0.0380120575428009,
-0.017659608274698257,
0.004395496565848589,
0.06978761404752731,
0.00322185386903584,
0.11906810104846954,
-0.013851573690772057,
0.0585290752351284,
-0.09809953719377518,
0.08251354098320007,
0.03993430733680725,
-0.015935733914375305,
-0.0008435634663328528,
0.03096853569149971,
0.03889118880033493,
-0.10860291123390198,
-0.011165870353579521,
0.015329164452850819,
0.051214803010225296,
-0.039170026779174805,
0.12310303747653961,
-0.04491269960999489,
-0.04045551270246506,
-0.0024879754055291414,
0.029669931158423424,
-0.015233847312629223,
0.02725878171622753,
-0.030396413058042526,
-0.0286190714687109,
0.008805629797279835,
-0.06390375643968582,
-0.07112105935811996,
-0.031216973438858986,
0.009829598478972912,
-0.024418247863650322,
0.09783463925123215,
-0.053471557796001434,
0.023645713925361633,
-0.021617183461785316,
-0.030243663117289543,
0.07553374022245407,
-0.034323278814554214,
0.011869959533214569,
-0.01733618788421154,
0.12301726639270782,
-0.05125807970762253,
0.11727988719940186,
0.040606848895549774,
-0.09703893214464188,
0.02656799554824829,
-0.02965567633509636,
-0.07170402258634567,
-0.002508357632905245,
0.005106736905872822,
0.00006817240500822663,
0.04431230202317238,
-0.045228295028209686,
-0.020362433046102524,
-0.011960627511143684,
0.0072605181485414505,
0.04707285761833191,
0.01040718425065279,
-0.007194198668003082,
2.74357534581541e-33,
0.06486108899116516,
0.020203620195388794,
0.036745306104421616,
-0.03902680054306984,
0.003253229195252061,
0.056062351912260056,
-0.0883379876613617,
-0.024475879967212677,
0.006520010996609926,
0.053483232855796814,
0.03486109897494316,
0.03135767951607704,
0.02566852606832981,
0.013176733627915382,
0.09101737290620804,
0.062131766229867935,
-0.0033161223400384188,
0.030754612758755684,
-0.027704961597919464,
-0.050788577646017075,
0.012564416043460369,
-0.041284047067165375,
0.028957827016711235,
-0.040211647748947144,
-0.028273463249206543,
-0.022838182747364044,
-0.025570450350642204,
-0.02076265774667263,
0.024648001417517662,
0.04530156031250954,
-0.09987860172986984,
0.01163896918296814,
0.027839533984661102,
-0.013315915130078793,
0.0008201409364119172,
-0.02147684618830681,
-0.0882050022482872,
0.010811381042003632,
-0.00560450553894043,
0.00310289254412055,
-0.07493114471435547,
-0.0004621771222446114,
0.044815801084041595,
-0.028151169419288635,
-0.0357428602874279,
-0.02163565158843994,
-0.00003970900797867216,
-0.03451957181096077,
0.014326177537441254,
-0.10623094439506531,
-0.018374761566519737,
-0.047350287437438965,
-0.02622232958674431,
0.032262299209833145,
-0.03946869820356369,
0.011272680945694447,
0.0025802096351981163,
0.03557337075471878,
-0.016093138605356216,
0.04954184591770172,
-0.04705653712153435,
0.03723178803920746,
0.036649323999881744,
0.006005441304296255,
0.013946662656962872,
0.022882355377078056,
0.04650300741195679,
-0.037897318601608276,
0.024020761251449585,
0.031170833855867386,
0.00663545960560441,
-0.012268126010894775,
-0.04326470196247101,
-0.06945059448480606,
0.009112266823649406,
0.04447155073285103,
0.10094963014125824,
-0.02799949422478676,
-0.017982887104153633,
0.036492638289928436,
-0.013922472484409809,
-0.053496383130550385,
0.10759996622800827,
-0.06613153964281082,
-0.02288838103413582,
-0.04833817481994629,
0.05195186659693718,
-0.07561618834733963,
-0.04150010272860527,
0.04153813421726227,
-0.08619021624326706,
0.03998279944062233,
-0.024510344490408897,
-0.00414147088304162,
-0.04165918380022049,
-3.3522417288963826e-33,
-0.051686350256204605,
-0.029070284217596054,
-0.006508896127343178,
0.058196187019348145,
-0.01849273405969143,
-0.006748552899807692,
-0.1025780737400055,
0.0020504530984908342,
-0.10049546509981155,
-0.093773253262043,
-0.04369129613041878,
0.027488330379128456,
0.12792368233203888,
-0.032553546130657196,
0.007275131531059742,
0.08729638159275055,
-0.0652480497956276,
0.09986250102519989,
-0.05626775324344635,
-0.0255950428545475,
0.13381993770599365,
0.003532582661136985,
0.031015587970614433,
0.07322176545858383,
-0.020525842905044556,
-0.015707332640886307,
-0.05343857780098915,
0.09393379837274551,
-0.05387163907289505,
-0.04523297771811485,
-0.083677276968956,
-0.06121493875980377,
-0.020884426310658455,
-0.037038978189229965,
-0.060858987271785736,
-0.04738955572247505,
0.03453889489173889,
-0.011133329011499882,
-0.043270375579595566,
0.18072618544101715,
0.04127040505409241,
-0.006720938254147768,
-0.11969054490327835,
-0.027008647099137306,
-0.027848150581121445,
-0.061941567808389664,
0.038567010313272476,
0.036811985075473785,
0.03553100675344467,
-0.029791587963700294,
0.06506433337926865,
0.023906078189611435,
-0.022316697984933853,
0.1050264835357666,
0.03020234778523445,
-0.009577351622283459,
-0.048000775277614594,
-0.032500918954610825,
0.05118865519762039,
0.058665841817855835,
-0.10058567672967911,
0.06464113295078278,
-0.036339715123176575,
0.10567143559455872,
0.024637209251523018,
-0.05713126063346863,
-0.004804376512765884,
0.031437214463949203,
-0.03479314222931862,
0.017687009647488594,
0.018864095211029053,
0.04806284233927727,
-0.038134507834911346,
-0.005018249154090881,
-0.11231090873479843,
0.08774352073669434,
0.09262627363204956,
-0.05181358382105827,
-0.04337034001946449,
0.045066043734550476,
0.05150235444307327,
-0.02496643364429474,
0.0779128298163414,
0.07826977968215942,
0.050210900604724884,
0.057133257389068604,
0.17434071004390717,
0.02771628461778164,
0.02360098995268345,
-0.02476145140826702,
0.002475521992892027,
0.06581234186887741,
0.009552720934152603,
0.00724185723811388,
-0.055104684084653854,
-5.058580399008861e-8,
-0.03919165953993797,
0.04737061262130737,
-0.02152121067047119,
-0.011592937633395195,
0.056205566972494125,
-0.004246841184794903,
-0.029362617060542107,
0.10212849080562592,
-0.10166839510202408,
0.009356244467198849,
0.032010819762945175,
0.05929841473698616,
-0.031253404915332794,
0.03780990466475487,
-0.042191289365291595,
0.06640863418579102,
-0.039495404809713364,
0.022566355764865875,
-0.023886684328317642,
0.11439897865056992,
0.046985067427158356,
0.028917385265231133,
0.10493019223213196,
-0.05986941233277321,
-0.029055632650852203,
-0.07487602531909943,
0.06259017437696457,
0.023915672674775124,
0.013622792437672615,
-0.015803035348653793,
-0.07189356535673141,
0.021373867988586426,
-0.016715044155716896,
0.019215522333979607,
0.020297806710004807,
0.04465837404131889,
-0.11373089253902435,
0.013041563332080841,
-0.05428323894739151,
0.05270538851618767,
0.006716244854032993,
-0.01234545186161995,
0.028418589383363724,
0.00473230704665184,
0.03477289900183678,
-0.00733177550137043,
-0.0029756154399365187,
0.015175024047493935,
0.020052488893270493,
0.04036197438836098,
-0.03832868114113808,
0.02051699347794056,
0.019496187567710876,
0.03033345565199852,
0.042999349534511566,
0.003825966501608491,
-0.06419234722852707,
-0.03919851779937744,
-0.01177528128027916,
0.013158521614968777,
0.03276226297020912,
-0.11031137406826019,
-0.0376632921397686,
0.013377570547163486
] | null | null | null | null | null | null | null |
[
-0.03011295758187771,
-0.08079814165830612,
-0.02021743357181549,
-0.07039924710988998,
0.06739621609449387,
0.041406769305467606,
-0.025368429720401764,
-0.02598031982779503,
0.07694247364997864,
0.0081000542268157,
-0.07356884330511093,
-0.01853482611477375,
0.04511096328496933,
-0.02468332275748253,
-0.01845795102417469,
-0.03757311776280403,
0.03634257987141609,
0.06206255033612251,
-0.08410336077213287,
0.042071860283613205,
0.019531942903995514,
0.03655458986759186,
0.07851199060678482,
-0.031201468780636787,
-0.02104734256863594,
-0.11034902185201645,
0.07531970739364624,
0.019137609750032425,
-0.009982489049434662,
0.0005838732467964292,
-0.022090056911110878,
-0.013188748620450497,
0.05336993187665939,
-0.005245694890618324,
-0.024512460455298424,
-0.011632246896624565,
-0.019451355561614037,
0.05632688105106354,
0.03235567361116409,
0.09556092321872711,
-0.03421078994870186,
0.03629850223660469,
0.06374413520097733,
0.02722635120153427,
0.012939535081386566,
0.0006560233305208385,
-0.0171002596616745,
-0.056084394454956055,
-0.0027949167415499687,
-0.06160363927483559,
0.0015405341982841492,
-0.00254492973908782,
-0.08926884829998016,
0.025423754006624222,
-0.04691619426012039,
-0.028092598542571068,
-0.051993705332279205,
-0.05869759991765022,
-0.037366870790719986,
0.018329724669456482,
0.04276237264275551,
-0.051769837737083435,
0.024483071640133858,
-0.020514052361249924,
-0.0380120575428009,
-0.017659608274698257,
0.004395496565848589,
0.06978761404752731,
0.00322185386903584,
0.11906810104846954,
-0.013851573690772057,
0.0585290752351284,
-0.09809953719377518,
0.08251354098320007,
0.03993430733680725,
-0.015935733914375305,
-0.0008435634663328528,
0.03096853569149971,
0.03889118880033493,
-0.10860291123390198,
-0.011165870353579521,
0.015329164452850819,
0.051214803010225296,
-0.039170026779174805,
0.12310303747653961,
-0.04491269960999489,
-0.04045551270246506,
-0.0024879754055291414,
0.029669931158423424,
-0.015233847312629223,
0.02725878171622753,
-0.030396413058042526,
-0.0286190714687109,
0.008805629797279835,
-0.06390375643968582,
-0.07112105935811996,
-0.031216973438858986,
0.009829598478972912,
-0.024418247863650322,
0.09783463925123215,
-0.053471557796001434,
0.023645713925361633,
-0.021617183461785316,
-0.030243663117289543,
0.07553374022245407,
-0.034323278814554214,
0.011869959533214569,
-0.01733618788421154,
0.12301726639270782,
-0.05125807970762253,
0.11727988719940186,
0.040606848895549774,
-0.09703893214464188,
0.02656799554824829,
-0.02965567633509636,
-0.07170402258634567,
-0.002508357632905245,
0.005106736905872822,
0.00006817240500822663,
0.04431230202317238,
-0.045228295028209686,
-0.020362433046102524,
-0.011960627511143684,
0.0072605181485414505,
0.04707285761833191,
0.01040718425065279,
-0.007194198668003082,
2.74357534581541e-33,
0.06486108899116516,
0.020203620195388794,
0.036745306104421616,
-0.03902680054306984,
0.003253229195252061,
0.056062351912260056,
-0.0883379876613617,
-0.024475879967212677,
0.006520010996609926,
0.053483232855796814,
0.03486109897494316,
0.03135767951607704,
0.02566852606832981,
0.013176733627915382,
0.09101737290620804,
0.062131766229867935,
-0.0033161223400384188,
0.030754612758755684,
-0.027704961597919464,
-0.050788577646017075,
0.012564416043460369,
-0.041284047067165375,
0.028957827016711235,
-0.040211647748947144,
-0.028273463249206543,
-0.022838182747364044,
-0.025570450350642204,
-0.02076265774667263,
0.024648001417517662,
0.04530156031250954,
-0.09987860172986984,
0.01163896918296814,
0.027839533984661102,
-0.013315915130078793,
0.0008201409364119172,
-0.02147684618830681,
-0.0882050022482872,
0.010811381042003632,
-0.00560450553894043,
0.00310289254412055,
-0.07493114471435547,
-0.0004621771222446114,
0.044815801084041595,
-0.028151169419288635,
-0.0357428602874279,
-0.02163565158843994,
-0.00003970900797867216,
-0.03451957181096077,
0.014326177537441254,
-0.10623094439506531,
-0.018374761566519737,
-0.047350287437438965,
-0.02622232958674431,
0.032262299209833145,
-0.03946869820356369,
0.011272680945694447,
0.0025802096351981163,
0.03557337075471878,
-0.016093138605356216,
0.04954184591770172,
-0.04705653712153435,
0.03723178803920746,
0.036649323999881744,
0.006005441304296255,
0.013946662656962872,
0.022882355377078056,
0.04650300741195679,
-0.037897318601608276,
0.024020761251449585,
0.031170833855867386,
0.00663545960560441,
-0.012268126010894775,
-0.04326470196247101,
-0.06945059448480606,
0.009112266823649406,
0.04447155073285103,
0.10094963014125824,
-0.02799949422478676,
-0.017982887104153633,
0.036492638289928436,
-0.013922472484409809,
-0.053496383130550385,
0.10759996622800827,
-0.06613153964281082,
-0.02288838103413582,
-0.04833817481994629,
0.05195186659693718,
-0.07561618834733963,
-0.04150010272860527,
0.04153813421726227,
-0.08619021624326706,
0.03998279944062233,
-0.024510344490408897,
-0.00414147088304162,
-0.04165918380022049,
-3.3522417288963826e-33,
-0.051686350256204605,
-0.029070284217596054,
-0.006508896127343178,
0.058196187019348145,
-0.01849273405969143,
-0.006748552899807692,
-0.1025780737400055,
0.0020504530984908342,
-0.10049546509981155,
-0.093773253262043,
-0.04369129613041878,
0.027488330379128456,
0.12792368233203888,
-0.032553546130657196,
0.007275131531059742,
0.08729638159275055,
-0.0652480497956276,
0.09986250102519989,
-0.05626775324344635,
-0.0255950428545475,
0.13381993770599365,
0.003532582661136985,
0.031015587970614433,
0.07322176545858383,
-0.020525842905044556,
-0.015707332640886307,
-0.05343857780098915,
0.09393379837274551,
-0.05387163907289505,
-0.04523297771811485,
-0.083677276968956,
-0.06121493875980377,
-0.020884426310658455,
-0.037038978189229965,
-0.060858987271785736,
-0.04738955572247505,
0.03453889489173889,
-0.011133329011499882,
-0.043270375579595566,
0.18072618544101715,
0.04127040505409241,
-0.006720938254147768,
-0.11969054490327835,
-0.027008647099137306,
-0.027848150581121445,
-0.061941567808389664,
0.038567010313272476,
0.036811985075473785,
0.03553100675344467,
-0.029791587963700294,
0.06506433337926865,
0.023906078189611435,
-0.022316697984933853,
0.1050264835357666,
0.03020234778523445,
-0.009577351622283459,
-0.048000775277614594,
-0.032500918954610825,
0.05118865519762039,
0.058665841817855835,
-0.10058567672967911,
0.06464113295078278,
-0.036339715123176575,
0.10567143559455872,
0.024637209251523018,
-0.05713126063346863,
-0.004804376512765884,
0.031437214463949203,
-0.03479314222931862,
0.017687009647488594,
0.018864095211029053,
0.04806284233927727,
-0.038134507834911346,
-0.005018249154090881,
-0.11231090873479843,
0.08774352073669434,
0.09262627363204956,
-0.05181358382105827,
-0.04337034001946449,
0.045066043734550476,
0.05150235444307327,
-0.02496643364429474,
0.0779128298163414,
0.07826977968215942,
0.050210900604724884,
0.057133257389068604,
0.17434071004390717,
0.02771628461778164,
0.02360098995268345,
-0.02476145140826702,
0.002475521992892027,
0.06581234186887741,
0.009552720934152603,
0.00724185723811388,
-0.055104684084653854,
-5.058580399008861e-8,
-0.03919165953993797,
0.04737061262130737,
-0.02152121067047119,
-0.011592937633395195,
0.056205566972494125,
-0.004246841184794903,
-0.029362617060542107,
0.10212849080562592,
-0.10166839510202408,
0.009356244467198849,
0.032010819762945175,
0.05929841473698616,
-0.031253404915332794,
0.03780990466475487,
-0.042191289365291595,
0.06640863418579102,
-0.039495404809713364,
0.022566355764865875,
-0.023886684328317642,
0.11439897865056992,
0.046985067427158356,
0.028917385265231133,
0.10493019223213196,
-0.05986941233277321,
-0.029055632650852203,
-0.07487602531909943,
0.06259017437696457,
0.023915672674775124,
0.013622792437672615,
-0.015803035348653793,
-0.07189356535673141,
0.021373867988586426,
-0.016715044155716896,
0.019215522333979607,
0.020297806710004807,
0.04465837404131889,
-0.11373089253902435,
0.013041563332080841,
-0.05428323894739151,
0.05270538851618767,
0.006716244854032993,
-0.01234545186161995,
0.028418589383363724,
0.00473230704665184,
0.03477289900183678,
-0.00733177550137043,
-0.0029756154399365187,
0.015175024047493935,
0.020052488893270493,
0.04036197438836098,
-0.03832868114113808,
0.02051699347794056,
0.019496187567710876,
0.03033345565199852,
0.042999349534511566,
0.003825966501608491,
-0.06419234722852707,
-0.03919851779937744,
-0.01177528128027916,
0.013158521614968777,
0.03276226297020912,
-0.11031137406826019,
-0.0376632921397686,
0.013377570547163486
] |
1401.7902
|
Gilles Gerbier
|
G. Gerbier, I. Giomataris, P. Magnier, A. Dastgheibi, M. Gros, D.
Jourde, E. Bougamont, X.F. Navick, T. Papaevangelou, J. Galan, J. Derre, I.
Savvidis, G. Tsiledakis
|
NEWS : a new spherical gas detector for very low mass WIMP detection
|
6 pages, 8 figures
| null | null | null |
astro-ph.IM hep-ex physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main characteristics of a new concept of spherical gaseous detectors,
with some details on its operation are first given. The very low energy
threshold of such detector has led to investigations of its potential
performance for dark matter particle searches, in particular low mass WIMP's :
original methods for energy and fiducial volume calibration and background
rejection are described and preliminary results obtained with a low
radioactivity prototype operated in Laboratoire Souterrain de Modane ("Frejus"
lab) are presented. Typical expected sensitivities in cross section for low
mass WIMP's are also shown, and other applications briefly discussed.
|
[
{
"created": "Thu, 30 Jan 2014 16:09:58 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Gerbier",
"G.",
""
],
[
"Giomataris",
"I.",
""
],
[
"Magnier",
"P.",
""
],
[
"Dastgheibi",
"A.",
""
],
[
"Gros",
"M.",
""
],
[
"Jourde",
"D.",
""
],
[
"Bougamont",
"E.",
""
],
[
"Navick",
"X. F.",
""
],
[
"Papaevangelou",
"T.",
""
],
[
"Galan",
"J.",
""
],
[
"Derre",
"J.",
""
],
[
"Savvidis",
"I.",
""
],
[
"Tsiledakis",
"G.",
""
]
] |
[
0.04106488451361656,
0.028513213619589806,
-0.058341290801763535,
0.04180475324392319,
0.06663922965526581,
-0.10292071849107742,
0.0049085719510912895,
0.08215249329805374,
0.004071058705449104,
0.004092319402843714,
0.009141849353909492,
-0.10254104435443878,
-0.04794491454958916,
0.028466058894991875,
-0.0243338942527771,
-0.07955756038427353,
0.18846924602985382,
0.0007191340555436909,
0.011568453162908554,
-0.06010187417268753,
-0.05050225183367729,
0.017408093437552452,
0.10924088209867477,
-0.0523100309073925,
0.0197751447558403,
-0.00312269595451653,
-0.0003738637315109372,
-0.07391084730625153,
0.004451062064617872,
-0.013314500451087952,
0.035070519894361496,
-0.01759885810315609,
0.0490594245493412,
0.012128902599215508,
0.053125470876693726,
-0.0349595844745636,
-0.0050378344021737576,
-0.031149080023169518,
0.041960299015045166,
0.00002584699723229278,
-0.048799604177474976,
-0.010374273173511028,
0.006363966502249241,
0.009125608950853348,
-0.07788622379302979,
0.03594668209552765,
0.009709106758236885,
0.0014333908911794424,
-0.03601544722914696,
-0.0035485478583723307,
0.08242741227149963,
-0.08259856700897217,
-0.053008683025836945,
0.12539923191070557,
-0.029835907742381096,
0.0022254737559705973,
-0.058929331600666046,
-0.048956915736198425,
0.030932195484638214,
-0.06727531552314758,
0.0388370119035244,
-0.007586511317640543,
-0.013760661706328392,
-0.06502451747655869,
0.059272147715091705,
-0.053898800164461136,
-0.01505859661847353,
-0.04215457662940025,
0.10591466724872589,
-0.0648900493979454,
0.003517771139740944,
0.08062173426151276,
0.03559745475649834,
-0.011688902974128723,
-0.03922639787197113,
0.04773375764489174,
-0.00884118489921093,
0.0405399352312088,
0.0695582926273346,
-0.016908198595046997,
-0.004214540123939514,
-0.040540650486946106,
-0.017084486782550812,
-0.02994776889681816,
-0.016060510650277138,
0.006726739928126335,
-0.07431366294622421,
0.08981665968894958,
-0.02391963079571724,
-0.06616511940956116,
0.044233329594135284,
-0.013592683710157871,
-0.11007237434387207,
-0.001562246703542769,
-0.030618885532021523,
-0.03739830479025841,
0.05338580533862114,
0.023101070895791054,
0.0038728632498532534,
0.043637827038764954,
0.03537999093532562,
-0.030420983210206032,
0.027164502069354057,
0.019036943092942238,
-0.05241759493947029,
-0.021434765309095383,
0.057023968547582626,
0.0021516461856663227,
0.0386052206158638,
-0.02913089655339718,
0.007602141238749027,
-0.010206710547208786,
0.026882696896791458,
-0.06722145527601242,
0.012976930476725101,
0.02711573988199234,
0.031461987644433975,
0.06107521802186966,
-0.12047861516475677,
0.0036537284031510353,
-0.02978214994072914,
-0.005910517182201147,
-0.026428958401083946,
-0.010443335399031639,
0.08376806974411011,
0.08960757404565811,
-0.0345829539000988,
6.269558629512181e-33,
0.03205316513776779,
0.08365607261657715,
-0.05732584372162819,
0.015534059144556522,
-0.06143403798341751,
0.047502752393484116,
0.029316486790776253,
0.043669912964105606,
-0.06638031452894211,
0.08969935029745102,
-0.034919772297143936,
0.05697261914610863,
-0.014055108651518822,
-0.018141072243452072,
0.03216361254453659,
0.01015295647084713,
0.021692730486392975,
0.05463162809610367,
0.00007001458288868889,
0.024392196908593178,
-0.07670456916093826,
-0.06642395257949829,
-0.003208330599591136,
0.02680165506899357,
0.09005840122699738,
0.10369061678647995,
-0.003394165076315403,
-0.032558295875787735,
-0.037603020668029785,
-0.006405518390238285,
0.013631964102387428,
0.06824274361133575,
0.0032715043053030968,
0.04222436621785164,
-0.054685283452272415,
0.01960671693086624,
-0.1216466873884201,
0.021988559514284134,
-0.04692618176341057,
-0.13436858355998993,
0.07035466283559799,
0.04328140243887901,
0.019109241664409637,
-0.042617201805114746,
-0.029169661924242973,
-0.03054848685860634,
-0.05390726402401924,
-0.08061566203832626,
0.056673578917980194,
0.01053693424910307,
0.025506939738988876,
-0.01015454437583685,
-0.07201835513114929,
0.0031856847926974297,
0.09277316927909851,
0.08255698531866074,
0.05691751092672348,
0.009461470879614353,
0.06687895208597183,
-0.027500081807374954,
0.010616596788167953,
0.02540712058544159,
-0.002217611763626337,
0.02390182390809059,
0.004189209081232548,
-0.006237181834876537,
-0.06085929274559021,
0.0021283638197928667,
-0.03772805631160736,
0.0190413985401392,
-0.0578836128115654,
-0.04700665920972824,
0.018093764781951904,
-0.008160245604813099,
0.04323197528719902,
0.044555168598890305,
0.014498676173388958,
-0.030094977468252182,
0.03532840684056282,
-0.049534622579813004,
-0.01093924231827259,
0.0246476698666811,
0.04338650032877922,
-0.09255613386631012,
-0.06399944424629211,
0.01531910989433527,
-0.0995936244726181,
-0.009958763606846333,
0.003439010586589575,
0.010740922763943672,
0.029923276975750923,
0.010673822835087776,
-0.06808559596538544,
0.01076462771743536,
-0.040508661419153214,
-6.0903431281277995e-33,
-0.03674297034740448,
0.026241600513458252,
-0.12123864144086838,
0.05990205332636833,
0.0246441587805748,
0.08430853486061096,
-0.007539185229688883,
-0.12907131016254425,
0.008309035561978817,
0.015174133703112602,
0.05677114427089691,
0.024960152804851532,
-0.0581347718834877,
-0.021296918392181396,
0.06347391754388809,
0.06391864269971848,
0.06635316461324692,
-0.0562630333006382,
0.03717508539557457,
-0.002780818846076727,
-0.03021087870001793,
0.05636387690901756,
-0.0681525468826294,
-0.07470553368330002,
-0.04908769205212593,
0.009953613393008709,
0.10625451803207397,
-0.07947473227977753,
0.0050596087239682674,
0.010537856258451939,
-0.07529965788125992,
0.02514490857720375,
0.008100958541035652,
0.017726220190525055,
0.04360705614089966,
-0.020280446857213974,
0.1261282116174698,
0.026917103677988052,
-0.03807868808507919,
-0.02716292440891266,
-0.0192796029150486,
0.13011294603347778,
-0.013718696311116219,
0.010580726899206638,
-0.05691646784543991,
-0.011221668682992458,
0.04323923587799072,
-0.01967729814350605,
0.007472948171198368,
0.023455044254660606,
-0.012608282268047333,
-0.09098036587238312,
-0.06937561184167862,
0.04428643360733986,
-0.0066368901170790195,
0.08657373487949371,
-0.055252544581890106,
0.017607275396585464,
-0.020050179213285446,
-0.05802967771887779,
0.010087557137012482,
-0.025679096579551697,
0.02304738014936447,
-0.014659067615866661,
-0.046892665326595306,
0.029262857511639595,
-0.054012399166822433,
0.1253068894147873,
0.05618736892938614,
0.004407363012433052,
0.07298754900693893,
-0.05777435749769211,
0.10888408869504929,
0.04581865668296814,
0.01040386687964201,
-0.021296365186572075,
0.12468279898166656,
-0.012938693165779114,
-0.00586905749514699,
-0.042125362902879715,
-0.03367339074611664,
-0.007104241289198399,
0.009821226820349693,
-0.030573081225156784,
0.11002061516046524,
-0.01805494725704193,
-0.07232818007469177,
-0.040526553988456726,
-0.06864187866449356,
-0.003733314573764801,
-0.011587454006075859,
-0.023434512317180634,
0.07679849863052368,
0.024152470752596855,
0.11192570626735687,
-5.012093851064492e-8,
-0.07350125163793564,
-0.031216975301504135,
-0.05180027335882187,
-0.015696244314312935,
0.016558198258280754,
-0.02090601995587349,
0.0019305349560454488,
0.040681492537260056,
-0.057191234081983566,
0.010280796326696873,
-0.018235374242067337,
-0.08470357954502106,
0.028419051319360733,
-0.04097899794578552,
0.08292202651500702,
0.03412691876292229,
-0.044007640331983566,
-0.011543873697519302,
-0.023365860804915428,
0.01599915139377117,
0.06907627731561661,
0.017961299046874046,
0.08805524557828903,
-0.008280076086521149,
0.028510069474577904,
0.08446921408176422,
0.008923429995775223,
-0.06367363780736923,
0.0174451544880867,
-0.024915840476751328,
-0.008927383460104465,
0.09374421089887619,
-0.009616181254386902,
-0.02079073153436184,
0.019940894097089767,
0.031475018709897995,
-0.03500921279191971,
0.015420420095324516,
-0.02365295961499214,
0.08065120130777359,
-0.01688002236187458,
-0.002047843998298049,
-0.07840054482221603,
-0.0184219628572464,
-0.06548085808753967,
0.043735072016716,
0.012493296526372433,
-0.062385816127061844,
-0.041484855115413666,
0.06302701681852341,
0.01508566364645958,
-0.0043587638065218925,
-0.012377186678349972,
-0.04913162812590599,
-0.012754951603710651,
0.04313458502292633,
0.06034891679883003,
-0.0471392460167408,
-0.038660190999507904,
-0.05110246315598488,
0.04483160004019737,
-0.05489376187324524,
-0.12110232561826706,
-0.080506332218647
] | null | null | null | null | null | null | null |
[
0.04106488451361656,
0.028513213619589806,
-0.058341290801763535,
0.04180475324392319,
0.06663922965526581,
-0.10292071849107742,
0.0049085719510912895,
0.08215249329805374,
0.004071058705449104,
0.004092319402843714,
0.009141849353909492,
-0.10254104435443878,
-0.04794491454958916,
0.028466058894991875,
-0.0243338942527771,
-0.07955756038427353,
0.18846924602985382,
0.0007191340555436909,
0.011568453162908554,
-0.06010187417268753,
-0.05050225183367729,
0.017408093437552452,
0.10924088209867477,
-0.0523100309073925,
0.0197751447558403,
-0.00312269595451653,
-0.0003738637315109372,
-0.07391084730625153,
0.004451062064617872,
-0.013314500451087952,
0.035070519894361496,
-0.01759885810315609,
0.0490594245493412,
0.012128902599215508,
0.053125470876693726,
-0.0349595844745636,
-0.0050378344021737576,
-0.031149080023169518,
0.041960299015045166,
0.00002584699723229278,
-0.048799604177474976,
-0.010374273173511028,
0.006363966502249241,
0.009125608950853348,
-0.07788622379302979,
0.03594668209552765,
0.009709106758236885,
0.0014333908911794424,
-0.03601544722914696,
-0.0035485478583723307,
0.08242741227149963,
-0.08259856700897217,
-0.053008683025836945,
0.12539923191070557,
-0.029835907742381096,
0.0022254737559705973,
-0.058929331600666046,
-0.048956915736198425,
0.030932195484638214,
-0.06727531552314758,
0.0388370119035244,
-0.007586511317640543,
-0.013760661706328392,
-0.06502451747655869,
0.059272147715091705,
-0.053898800164461136,
-0.01505859661847353,
-0.04215457662940025,
0.10591466724872589,
-0.0648900493979454,
0.003517771139740944,
0.08062173426151276,
0.03559745475649834,
-0.011688902974128723,
-0.03922639787197113,
0.04773375764489174,
-0.00884118489921093,
0.0405399352312088,
0.0695582926273346,
-0.016908198595046997,
-0.004214540123939514,
-0.040540650486946106,
-0.017084486782550812,
-0.02994776889681816,
-0.016060510650277138,
0.006726739928126335,
-0.07431366294622421,
0.08981665968894958,
-0.02391963079571724,
-0.06616511940956116,
0.044233329594135284,
-0.013592683710157871,
-0.11007237434387207,
-0.001562246703542769,
-0.030618885532021523,
-0.03739830479025841,
0.05338580533862114,
0.023101070895791054,
0.0038728632498532534,
0.043637827038764954,
0.03537999093532562,
-0.030420983210206032,
0.027164502069354057,
0.019036943092942238,
-0.05241759493947029,
-0.021434765309095383,
0.057023968547582626,
0.0021516461856663227,
0.0386052206158638,
-0.02913089655339718,
0.007602141238749027,
-0.010206710547208786,
0.026882696896791458,
-0.06722145527601242,
0.012976930476725101,
0.02711573988199234,
0.031461987644433975,
0.06107521802186966,
-0.12047861516475677,
0.0036537284031510353,
-0.02978214994072914,
-0.005910517182201147,
-0.026428958401083946,
-0.010443335399031639,
0.08376806974411011,
0.08960757404565811,
-0.0345829539000988,
6.269558629512181e-33,
0.03205316513776779,
0.08365607261657715,
-0.05732584372162819,
0.015534059144556522,
-0.06143403798341751,
0.047502752393484116,
0.029316486790776253,
0.043669912964105606,
-0.06638031452894211,
0.08969935029745102,
-0.034919772297143936,
0.05697261914610863,
-0.014055108651518822,
-0.018141072243452072,
0.03216361254453659,
0.01015295647084713,
0.021692730486392975,
0.05463162809610367,
0.00007001458288868889,
0.024392196908593178,
-0.07670456916093826,
-0.06642395257949829,
-0.003208330599591136,
0.02680165506899357,
0.09005840122699738,
0.10369061678647995,
-0.003394165076315403,
-0.032558295875787735,
-0.037603020668029785,
-0.006405518390238285,
0.013631964102387428,
0.06824274361133575,
0.0032715043053030968,
0.04222436621785164,
-0.054685283452272415,
0.01960671693086624,
-0.1216466873884201,
0.021988559514284134,
-0.04692618176341057,
-0.13436858355998993,
0.07035466283559799,
0.04328140243887901,
0.019109241664409637,
-0.042617201805114746,
-0.029169661924242973,
-0.03054848685860634,
-0.05390726402401924,
-0.08061566203832626,
0.056673578917980194,
0.01053693424910307,
0.025506939738988876,
-0.01015454437583685,
-0.07201835513114929,
0.0031856847926974297,
0.09277316927909851,
0.08255698531866074,
0.05691751092672348,
0.009461470879614353,
0.06687895208597183,
-0.027500081807374954,
0.010616596788167953,
0.02540712058544159,
-0.002217611763626337,
0.02390182390809059,
0.004189209081232548,
-0.006237181834876537,
-0.06085929274559021,
0.0021283638197928667,
-0.03772805631160736,
0.0190413985401392,
-0.0578836128115654,
-0.04700665920972824,
0.018093764781951904,
-0.008160245604813099,
0.04323197528719902,
0.044555168598890305,
0.014498676173388958,
-0.030094977468252182,
0.03532840684056282,
-0.049534622579813004,
-0.01093924231827259,
0.0246476698666811,
0.04338650032877922,
-0.09255613386631012,
-0.06399944424629211,
0.01531910989433527,
-0.0995936244726181,
-0.009958763606846333,
0.003439010586589575,
0.010740922763943672,
0.029923276975750923,
0.010673822835087776,
-0.06808559596538544,
0.01076462771743536,
-0.040508661419153214,
-6.0903431281277995e-33,
-0.03674297034740448,
0.026241600513458252,
-0.12123864144086838,
0.05990205332636833,
0.0246441587805748,
0.08430853486061096,
-0.007539185229688883,
-0.12907131016254425,
0.008309035561978817,
0.015174133703112602,
0.05677114427089691,
0.024960152804851532,
-0.0581347718834877,
-0.021296918392181396,
0.06347391754388809,
0.06391864269971848,
0.06635316461324692,
-0.0562630333006382,
0.03717508539557457,
-0.002780818846076727,
-0.03021087870001793,
0.05636387690901756,
-0.0681525468826294,
-0.07470553368330002,
-0.04908769205212593,
0.009953613393008709,
0.10625451803207397,
-0.07947473227977753,
0.0050596087239682674,
0.010537856258451939,
-0.07529965788125992,
0.02514490857720375,
0.008100958541035652,
0.017726220190525055,
0.04360705614089966,
-0.020280446857213974,
0.1261282116174698,
0.026917103677988052,
-0.03807868808507919,
-0.02716292440891266,
-0.0192796029150486,
0.13011294603347778,
-0.013718696311116219,
0.010580726899206638,
-0.05691646784543991,
-0.011221668682992458,
0.04323923587799072,
-0.01967729814350605,
0.007472948171198368,
0.023455044254660606,
-0.012608282268047333,
-0.09098036587238312,
-0.06937561184167862,
0.04428643360733986,
-0.0066368901170790195,
0.08657373487949371,
-0.055252544581890106,
0.017607275396585464,
-0.020050179213285446,
-0.05802967771887779,
0.010087557137012482,
-0.025679096579551697,
0.02304738014936447,
-0.014659067615866661,
-0.046892665326595306,
0.029262857511639595,
-0.054012399166822433,
0.1253068894147873,
0.05618736892938614,
0.004407363012433052,
0.07298754900693893,
-0.05777435749769211,
0.10888408869504929,
0.04581865668296814,
0.01040386687964201,
-0.021296365186572075,
0.12468279898166656,
-0.012938693165779114,
-0.00586905749514699,
-0.042125362902879715,
-0.03367339074611664,
-0.007104241289198399,
0.009821226820349693,
-0.030573081225156784,
0.11002061516046524,
-0.01805494725704193,
-0.07232818007469177,
-0.040526553988456726,
-0.06864187866449356,
-0.003733314573764801,
-0.011587454006075859,
-0.023434512317180634,
0.07679849863052368,
0.024152470752596855,
0.11192570626735687,
-5.012093851064492e-8,
-0.07350125163793564,
-0.031216975301504135,
-0.05180027335882187,
-0.015696244314312935,
0.016558198258280754,
-0.02090601995587349,
0.0019305349560454488,
0.040681492537260056,
-0.057191234081983566,
0.010280796326696873,
-0.018235374242067337,
-0.08470357954502106,
0.028419051319360733,
-0.04097899794578552,
0.08292202651500702,
0.03412691876292229,
-0.044007640331983566,
-0.011543873697519302,
-0.023365860804915428,
0.01599915139377117,
0.06907627731561661,
0.017961299046874046,
0.08805524557828903,
-0.008280076086521149,
0.028510069474577904,
0.08446921408176422,
0.008923429995775223,
-0.06367363780736923,
0.0174451544880867,
-0.024915840476751328,
-0.008927383460104465,
0.09374421089887619,
-0.009616181254386902,
-0.02079073153436184,
0.019940894097089767,
0.031475018709897995,
-0.03500921279191971,
0.015420420095324516,
-0.02365295961499214,
0.08065120130777359,
-0.01688002236187458,
-0.002047843998298049,
-0.07840054482221603,
-0.0184219628572464,
-0.06548085808753967,
0.043735072016716,
0.012493296526372433,
-0.062385816127061844,
-0.041484855115413666,
0.06302701681852341,
0.01508566364645958,
-0.0043587638065218925,
-0.012377186678349972,
-0.04913162812590599,
-0.012754951603710651,
0.04313458502292633,
0.06034891679883003,
-0.0471392460167408,
-0.038660190999507904,
-0.05110246315598488,
0.04483160004019737,
-0.05489376187324524,
-0.12110232561826706,
-0.080506332218647
] |
1401.7903
|
Amir H. Fatollahi
|
Marjan-S. Mirahmadi, Amir H. Fatollahi
|
Eigenvalue problem for radial potentials in space with SU(2) fuzziness
|
1+20 pages, 2 figs, LaTeX
| null |
10.1063/1.4892999
| null |
physics.gen-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The eigenvalue problem for radial potentials is considered in a space whose
spatial coordinates satisfy the SU(2) Lie algebra. As the consequence, the
space has a lattice nature and the maximum value of momentum is bounded from
above. The model shows interesting features due to the bound, namely, a
repulsive potential can develop bound-states, or an attractive region may be
forbidden for particles to propagate with higher energies. The exact radial
eigen-functions in momentum space are given by means of the associated
Chebyshev functions. For the radial stepwise potentials the exact energy
condition and the eigen-functions are presented. For a general radial potential
it is shown that the discrete energy spectrum can be obtained in desired
accuracy by means of given forms of continued fractions.
|
[
{
"created": "Fri, 3 Jan 2014 07:37:46 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Mirahmadi",
"Marjan-S.",
""
],
[
"Fatollahi",
"Amir H.",
""
]
] |
[
-0.012495048344135284,
-0.007447544485330582,
-0.027746358886361122,
-0.010024943388998508,
0.016270458698272705,
0.007062063552439213,
0.03992634639143944,
0.019818173721432686,
0.042934395372867584,
-0.06166944280266762,
0.02275959774851799,
0.04216734319925308,
-0.09109184890985489,
-0.019217263907194138,
0.056548941880464554,
-0.10306209325790405,
0.025558320805430412,
-0.027018962427973747,
-0.01613362319767475,
0.0334557443857193,
0.0376632958650589,
0.012070827186107635,
0.05824132636189461,
-0.03451757878065109,
0.08060786873102188,
-0.0031451350077986717,
0.10546199232339859,
0.03491903096437454,
0.07623107731342316,
-0.011340643279254436,
0.12852145731449127,
-0.07266733050346375,
-0.028856340795755386,
-0.0061864289455115795,
0.0025537293404340744,
0.0009469956276006997,
-0.03189978003501892,
0.03355890512466431,
0.004537570755928755,
0.032126519829034805,
0.0034295907244086266,
0.07876379042863846,
-0.008684182539582253,
0.036725617945194244,
-0.02469913475215435,
-0.04307103902101517,
0.041115399450063705,
-0.103976309299469,
0.014371378347277641,
-0.06294847279787064,
0.017954237759113312,
0.08437774330377579,
-0.0060486020520329475,
0.010820991359651089,
-0.07952120900154114,
-0.06745514273643494,
-0.04046669974923134,
-0.04790991544723511,
0.04089442268013954,
-0.10813749581575394,
0.029887977987527847,
-0.016661209985613823,
0.03781808912754059,
-0.006051169708371162,
-0.03845279663801193,
-0.006710021756589413,
0.023244338110089302,
-0.06417141109704971,
0.04290268197655678,
-0.003665338736027479,
-0.061919983476400375,
0.038981031626462936,
-0.041377682238817215,
-0.018351536244153976,
0.056163888424634933,
0.03972730413079262,
-0.06716248393058777,
-0.04954766482114792,
-0.00046264391858130693,
-0.01172418799251318,
0.01804553158581257,
-0.02160569839179516,
-0.03241217881441116,
-0.05948493257164955,
-0.016342654824256897,
0.0900193378329277,
-0.007289776112884283,
-0.029643740504980087,
0.06884527951478958,
-0.04879743605852127,
0.08463556319475174,
-0.08851858228445053,
0.01806713081896305,
0.0029775556176900864,
-0.03555639460682869,
0.020184306427836418,
-0.03012128546833992,
-0.023718029260635376,
0.01807672344148159,
0.0023744129575788975,
-0.026335500180721283,
-0.10336892306804657,
0.017632214352488518,
-0.023825490847229958,
-0.022342046722769737,
-0.02406039647758007,
-0.021642664447426796,
0.037852805107831955,
-0.0013806759379804134,
0.06631291657686234,
0.035641394555568695,
-0.07749995589256287,
-0.04761919006705284,
0.04604668915271759,
0.021999303251504898,
-0.008948332630097866,
0.0654601976275444,
0.061831749975681305,
-0.002889906754717231,
-0.05726289376616478,
0.06665076315402985,
-0.013050643727183342,
-0.025974716991186142,
0.02852187491953373,
-0.041419126093387604,
-0.02338523417711258,
-0.11578051000833511,
1.4770868267743087e-34,
-0.010288115590810776,
0.0233886931091547,
0.04259765148162842,
-0.021957052871584892,
-0.005456704180687666,
-0.00259219529107213,
-0.005986847449094057,
0.02967643178999424,
0.010074513964354992,
0.052279792726039886,
-0.04657018557190895,
0.032924775034189224,
0.07516275346279144,
-0.0698748230934143,
0.011827664449810982,
0.0220327228307724,
0.006629338022321463,
-0.012362503446638584,
0.05091819167137146,
-0.015531530603766441,
0.09378889203071594,
-0.05691216140985489,
0.07640132308006287,
0.03783585503697395,
-0.030995944514870644,
0.027981162071228027,
0.02074887603521347,
0.013065803796052933,
-0.047606952488422394,
-0.013489753939211369,
-0.002406726125627756,
-0.02276584319770336,
0.01594897359609604,
0.08611728250980377,
0.08840109407901764,
0.022552335634827614,
-0.018291277810931206,
0.0026263692416250706,
0.019068241119384766,
-0.07842136174440384,
-0.04495836794376373,
-0.045345205813646317,
0.022013159468770027,
0.06385471671819687,
0.037694454193115234,
-0.04669995978474617,
0.11307962238788605,
0.024531932547688484,
0.0331701785326004,
0.004130472894757986,
-0.02038726396858692,
0.0006871980731375515,
-0.042651187628507614,
0.0648447573184967,
0.03483466058969498,
-0.019800489768385887,
-0.01890249364078045,
0.09891869872808456,
0.023337822407484055,
-0.0033626719377934933,
0.030567780137062073,
-0.012178256176412106,
0.038236428052186966,
-0.042664092034101486,
0.002538372529670596,
-0.03460557758808136,
-0.09302692860364914,
-0.009359581395983696,
0.016096487641334534,
0.031391557306051254,
0.060244154185056686,
0.03792818263173103,
0.022802753373980522,
-0.024848341941833496,
0.03609669208526611,
-0.027302667498588562,
-0.04487697407603264,
-0.0217144675552845,
-0.04244895279407501,
0.046373531222343445,
-0.06134111061692238,
-0.06637575477361679,
-0.05583483353257179,
0.04746108502149582,
-0.059101130813360214,
-0.08326280862092972,
-0.0748855248093605,
-0.06908167153596878,
-0.00767142279073596,
-0.05321246013045311,
-0.042357709258794785,
-0.06213133782148361,
0.062311433255672455,
0.014925102703273296,
-0.07362467795610428,
-2.545860502084963e-33,
-0.024585625156760216,
0.041566867381334305,
0.008262190967798233,
0.04422745853662491,
0.00155373674351722,
-0.00775940902531147,
-0.002067746128886938,
0.04572009667754173,
-0.07613468170166016,
-0.047973353415727615,
-0.03937004134058952,
0.09199554473161697,
0.03683280572295189,
0.0755586102604866,
0.035885948687791824,
0.04123185575008392,
0.09505593776702881,
-0.00260463310405612,
-0.015310756862163544,
-0.003903287462890148,
-0.02805890142917633,
0.02335081435739994,
-0.005350819788873196,
0.026765258982777596,
-0.015854809433221817,
0.05464854836463928,
0.09770814329385757,
-0.025975164026021957,
-0.06002333387732506,
0.061610475182533264,
0.027826933190226555,
0.05510152503848076,
-0.08113692700862885,
-0.010381538420915604,
-0.07473943382501602,
-0.060670141130685806,
-0.0014222587924450636,
0.01694885455071926,
0.010036889463663101,
0.05059440806508064,
-0.03245798125863075,
-0.03854524716734886,
0.10000832378864288,
0.044569823890924454,
0.03180544450879097,
-0.10376031696796417,
0.1371738761663437,
0.08534805476665497,
-0.050550684332847595,
0.00035237541305832565,
-0.02812531776726246,
-0.014423553831875324,
-0.05618995800614357,
0.09823871403932571,
-0.02743951603770256,
0.07478167116641998,
-0.05541442334651947,
0.004966416861861944,
0.12550216913223267,
-0.09799420833587646,
-0.08315765857696533,
0.023029031231999397,
0.1483556032180786,
0.08699701726436615,
-0.01870087720453739,
-0.021148480474948883,
-0.014445021748542786,
-0.06903470307588577,
0.01457182690501213,
0.009713475592434406,
-0.01874672621488571,
-0.03983376547694206,
0.028337998315691948,
0.02968195453286171,
-0.07721640169620514,
-0.0638338029384613,
0.06578253954648972,
-0.08716293424367905,
0.037066325545310974,
-0.02053597755730152,
-0.016095494851469994,
-0.005402523558586836,
-0.006758507341146469,
-0.027675999328494072,
0.05515715852379799,
-0.035260748118162155,
-0.08993561565876007,
0.0132889524102211,
0.059500936418771744,
-0.07795439660549164,
0.053358353674411774,
0.03467128425836563,
0.017862487584352493,
0.023774050176143646,
0.13285034894943237,
-4.482077642364857e-8,
0.02091461792588234,
-0.05055960267782211,
-0.07478868961334229,
-0.027582338079810143,
0.07796771824359894,
0.05108855664730072,
-0.06542958319187164,
-0.047212716192007065,
-0.04598216712474823,
-0.0059560989029705524,
0.07881826907396317,
-0.07809636741876602,
-0.037754978984594345,
-0.061208561062812805,
0.04094548150897026,
0.01700933650135994,
0.07720760256052017,
0.06757275760173798,
-0.019229307770729065,
-0.040594715625047684,
-0.03457575663924217,
-0.032951388508081436,
-0.05173031985759735,
0.005542398896068335,
0.013688620179891586,
-0.026225896552205086,
-0.12002131342887878,
-0.13105636835098267,
0.0065918052569031715,
0.018181558698415756,
-0.015070526860654354,
0.01916450820863247,
0.07706047594547272,
0.04587199538946152,
0.01118462160229683,
-0.0026028372813016176,
0.0464257150888443,
0.06323207169771194,
-0.09225226938724518,
0.06432885676622391,
0.014274034649133682,
0.053470514714717865,
0.051932867616415024,
0.014591339975595474,
-0.06461824476718903,
0.08487073332071304,
-0.02395068295300007,
0.011792073026299477,
0.0285939984023571,
0.07649332284927368,
-0.0873359888792038,
0.03917745500802994,
-0.06510321795940399,
-0.003922263626009226,
-0.06263914704322815,
-0.02618616819381714,
-0.11485457420349121,
-0.07070217281579971,
-0.05514127388596535,
0.005439532920718193,
0.025853538885712624,
0.07876372337341309,
-0.06392332911491394,
0.011816315352916718
] | null | null | null | null | null | null | null |
[
-0.012495048344135284,
-0.007447544485330582,
-0.027746358886361122,
-0.010024943388998508,
0.016270458698272705,
0.007062063552439213,
0.03992634639143944,
0.019818173721432686,
0.042934395372867584,
-0.06166944280266762,
0.02275959774851799,
0.04216734319925308,
-0.09109184890985489,
-0.019217263907194138,
0.056548941880464554,
-0.10306209325790405,
0.025558320805430412,
-0.027018962427973747,
-0.01613362319767475,
0.0334557443857193,
0.0376632958650589,
0.012070827186107635,
0.05824132636189461,
-0.03451757878065109,
0.08060786873102188,
-0.0031451350077986717,
0.10546199232339859,
0.03491903096437454,
0.07623107731342316,
-0.011340643279254436,
0.12852145731449127,
-0.07266733050346375,
-0.028856340795755386,
-0.0061864289455115795,
0.0025537293404340744,
0.0009469956276006997,
-0.03189978003501892,
0.03355890512466431,
0.004537570755928755,
0.032126519829034805,
0.0034295907244086266,
0.07876379042863846,
-0.008684182539582253,
0.036725617945194244,
-0.02469913475215435,
-0.04307103902101517,
0.041115399450063705,
-0.103976309299469,
0.014371378347277641,
-0.06294847279787064,
0.017954237759113312,
0.08437774330377579,
-0.0060486020520329475,
0.010820991359651089,
-0.07952120900154114,
-0.06745514273643494,
-0.04046669974923134,
-0.04790991544723511,
0.04089442268013954,
-0.10813749581575394,
0.029887977987527847,
-0.016661209985613823,
0.03781808912754059,
-0.006051169708371162,
-0.03845279663801193,
-0.006710021756589413,
0.023244338110089302,
-0.06417141109704971,
0.04290268197655678,
-0.003665338736027479,
-0.061919983476400375,
0.038981031626462936,
-0.041377682238817215,
-0.018351536244153976,
0.056163888424634933,
0.03972730413079262,
-0.06716248393058777,
-0.04954766482114792,
-0.00046264391858130693,
-0.01172418799251318,
0.01804553158581257,
-0.02160569839179516,
-0.03241217881441116,
-0.05948493257164955,
-0.016342654824256897,
0.0900193378329277,
-0.007289776112884283,
-0.029643740504980087,
0.06884527951478958,
-0.04879743605852127,
0.08463556319475174,
-0.08851858228445053,
0.01806713081896305,
0.0029775556176900864,
-0.03555639460682869,
0.020184306427836418,
-0.03012128546833992,
-0.023718029260635376,
0.01807672344148159,
0.0023744129575788975,
-0.026335500180721283,
-0.10336892306804657,
0.017632214352488518,
-0.023825490847229958,
-0.022342046722769737,
-0.02406039647758007,
-0.021642664447426796,
0.037852805107831955,
-0.0013806759379804134,
0.06631291657686234,
0.035641394555568695,
-0.07749995589256287,
-0.04761919006705284,
0.04604668915271759,
0.021999303251504898,
-0.008948332630097866,
0.0654601976275444,
0.061831749975681305,
-0.002889906754717231,
-0.05726289376616478,
0.06665076315402985,
-0.013050643727183342,
-0.025974716991186142,
0.02852187491953373,
-0.041419126093387604,
-0.02338523417711258,
-0.11578051000833511,
1.4770868267743087e-34,
-0.010288115590810776,
0.0233886931091547,
0.04259765148162842,
-0.021957052871584892,
-0.005456704180687666,
-0.00259219529107213,
-0.005986847449094057,
0.02967643178999424,
0.010074513964354992,
0.052279792726039886,
-0.04657018557190895,
0.032924775034189224,
0.07516275346279144,
-0.0698748230934143,
0.011827664449810982,
0.0220327228307724,
0.006629338022321463,
-0.012362503446638584,
0.05091819167137146,
-0.015531530603766441,
0.09378889203071594,
-0.05691216140985489,
0.07640132308006287,
0.03783585503697395,
-0.030995944514870644,
0.027981162071228027,
0.02074887603521347,
0.013065803796052933,
-0.047606952488422394,
-0.013489753939211369,
-0.002406726125627756,
-0.02276584319770336,
0.01594897359609604,
0.08611728250980377,
0.08840109407901764,
0.022552335634827614,
-0.018291277810931206,
0.0026263692416250706,
0.019068241119384766,
-0.07842136174440384,
-0.04495836794376373,
-0.045345205813646317,
0.022013159468770027,
0.06385471671819687,
0.037694454193115234,
-0.04669995978474617,
0.11307962238788605,
0.024531932547688484,
0.0331701785326004,
0.004130472894757986,
-0.02038726396858692,
0.0006871980731375515,
-0.042651187628507614,
0.0648447573184967,
0.03483466058969498,
-0.019800489768385887,
-0.01890249364078045,
0.09891869872808456,
0.023337822407484055,
-0.0033626719377934933,
0.030567780137062073,
-0.012178256176412106,
0.038236428052186966,
-0.042664092034101486,
0.002538372529670596,
-0.03460557758808136,
-0.09302692860364914,
-0.009359581395983696,
0.016096487641334534,
0.031391557306051254,
0.060244154185056686,
0.03792818263173103,
0.022802753373980522,
-0.024848341941833496,
0.03609669208526611,
-0.027302667498588562,
-0.04487697407603264,
-0.0217144675552845,
-0.04244895279407501,
0.046373531222343445,
-0.06134111061692238,
-0.06637575477361679,
-0.05583483353257179,
0.04746108502149582,
-0.059101130813360214,
-0.08326280862092972,
-0.0748855248093605,
-0.06908167153596878,
-0.00767142279073596,
-0.05321246013045311,
-0.042357709258794785,
-0.06213133782148361,
0.062311433255672455,
0.014925102703273296,
-0.07362467795610428,
-2.545860502084963e-33,
-0.024585625156760216,
0.041566867381334305,
0.008262190967798233,
0.04422745853662491,
0.00155373674351722,
-0.00775940902531147,
-0.002067746128886938,
0.04572009667754173,
-0.07613468170166016,
-0.047973353415727615,
-0.03937004134058952,
0.09199554473161697,
0.03683280572295189,
0.0755586102604866,
0.035885948687791824,
0.04123185575008392,
0.09505593776702881,
-0.00260463310405612,
-0.015310756862163544,
-0.003903287462890148,
-0.02805890142917633,
0.02335081435739994,
-0.005350819788873196,
0.026765258982777596,
-0.015854809433221817,
0.05464854836463928,
0.09770814329385757,
-0.025975164026021957,
-0.06002333387732506,
0.061610475182533264,
0.027826933190226555,
0.05510152503848076,
-0.08113692700862885,
-0.010381538420915604,
-0.07473943382501602,
-0.060670141130685806,
-0.0014222587924450636,
0.01694885455071926,
0.010036889463663101,
0.05059440806508064,
-0.03245798125863075,
-0.03854524716734886,
0.10000832378864288,
0.044569823890924454,
0.03180544450879097,
-0.10376031696796417,
0.1371738761663437,
0.08534805476665497,
-0.050550684332847595,
0.00035237541305832565,
-0.02812531776726246,
-0.014423553831875324,
-0.05618995800614357,
0.09823871403932571,
-0.02743951603770256,
0.07478167116641998,
-0.05541442334651947,
0.004966416861861944,
0.12550216913223267,
-0.09799420833587646,
-0.08315765857696533,
0.023029031231999397,
0.1483556032180786,
0.08699701726436615,
-0.01870087720453739,
-0.021148480474948883,
-0.014445021748542786,
-0.06903470307588577,
0.01457182690501213,
0.009713475592434406,
-0.01874672621488571,
-0.03983376547694206,
0.028337998315691948,
0.02968195453286171,
-0.07721640169620514,
-0.0638338029384613,
0.06578253954648972,
-0.08716293424367905,
0.037066325545310974,
-0.02053597755730152,
-0.016095494851469994,
-0.005402523558586836,
-0.006758507341146469,
-0.027675999328494072,
0.05515715852379799,
-0.035260748118162155,
-0.08993561565876007,
0.0132889524102211,
0.059500936418771744,
-0.07795439660549164,
0.053358353674411774,
0.03467128425836563,
0.017862487584352493,
0.023774050176143646,
0.13285034894943237,
-4.482077642364857e-8,
0.02091461792588234,
-0.05055960267782211,
-0.07478868961334229,
-0.027582338079810143,
0.07796771824359894,
0.05108855664730072,
-0.06542958319187164,
-0.047212716192007065,
-0.04598216712474823,
-0.0059560989029705524,
0.07881826907396317,
-0.07809636741876602,
-0.037754978984594345,
-0.061208561062812805,
0.04094548150897026,
0.01700933650135994,
0.07720760256052017,
0.06757275760173798,
-0.019229307770729065,
-0.040594715625047684,
-0.03457575663924217,
-0.032951388508081436,
-0.05173031985759735,
0.005542398896068335,
0.013688620179891586,
-0.026225896552205086,
-0.12002131342887878,
-0.13105636835098267,
0.0065918052569031715,
0.018181558698415756,
-0.015070526860654354,
0.01916450820863247,
0.07706047594547272,
0.04587199538946152,
0.01118462160229683,
-0.0026028372813016176,
0.0464257150888443,
0.06323207169771194,
-0.09225226938724518,
0.06432885676622391,
0.014274034649133682,
0.053470514714717865,
0.051932867616415024,
0.014591339975595474,
-0.06461824476718903,
0.08487073332071304,
-0.02395068295300007,
0.011792073026299477,
0.0285939984023571,
0.07649332284927368,
-0.0873359888792038,
0.03917745500802994,
-0.06510321795940399,
-0.003922263626009226,
-0.06263914704322815,
-0.02618616819381714,
-0.11485457420349121,
-0.07070217281579971,
-0.05514127388596535,
0.005439532920718193,
0.025853538885712624,
0.07876372337341309,
-0.06392332911491394,
0.011816315352916718
] |
1401.7909
|
Fred Morstatter
|
Fred Morstatter, J\"urgen Pfeffer, Huan Liu
|
When is it Biased? Assessing the Representativeness of Twitter's
Streaming API
| null | null | null | null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Twitter has captured the interest of the scientific community not only for
its massive user base and content, but also for its openness in sharing its
data. Twitter shares a free 1% sample of its tweets through the "Streaming
API", a service that returns a sample of tweets according to a set of
parameters set by the researcher. Recently, research has pointed to evidence of
bias in the data returned through the Streaming API, raising concern in the
integrity of this data service for use in research scenarios. While these
results are important, the methodologies proposed in previous work rely on the
restrictive and expensive Firehose to find the bias in the Streaming API data.
In this work we tackle the problem of finding sample bias without the need for
"gold standard" Firehose data. Namely, we focus on finding time periods in the
Streaming API data where the trend of a hashtag is significantly different from
its trend in the true activity on Twitter. We propose a solution that focuses
on using an open data source to find bias in the Streaming API. Finally, we
assess the utility of the data source in sparse data situations and for users
issuing the same query from different regions.
|
[
{
"created": "Thu, 30 Jan 2014 16:27:14 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Morstatter",
"Fred",
""
],
[
"Pfeffer",
"Jürgen",
""
],
[
"Liu",
"Huan",
""
]
] |
[
-0.07265308499336243,
-0.016450421884655952,
-0.04436412453651428,
0.023045837879180908,
0.13132919371128082,
-0.06706393510103226,
-0.006170745939016342,
-0.012689267285168171,
0.08521664142608643,
0.030974507331848145,
-0.020280810073018074,
0.010321137495338917,
0.07237415760755539,
0.011870852671563625,
0.044323988258838654,
-0.029088007286190987,
0.021743247285485268,
-0.04555152729153633,
-0.05340459570288658,
-0.14656962454319,
-0.035004064440727234,
0.00743852648884058,
-0.010462366975843906,
0.0058105760253965855,
0.045551370829343796,
-0.02358485944569111,
-0.016583919525146484,
0.01679719239473343,
-0.020525356754660606,
0.033964719623327255,
-0.011570914648473263,
0.0015544125344604254,
-0.03748875483870506,
0.02459905296564102,
-0.07750348746776581,
-0.03664519265294075,
-0.06754740327596664,
0.030571890994906425,
-0.04328504577279091,
0.05258357897400856,
0.06137276440858841,
-0.04184158146381378,
-0.055086974054574966,
0.036888882517814636,
-0.04908592626452446,
0.06437309831380844,
-0.009325887076556683,
0.02649739943444729,
-0.06518422812223434,
0.12367650121450424,
-0.05435662344098091,
-0.04655386880040169,
0.024622881785035133,
0.06895782053470612,
-0.021292783319950104,
-0.029141424223780632,
-0.06670227646827698,
0.026425153017044067,
0.006759511772543192,
0.019806860014796257,
0.03742343187332153,
-0.08828084915876389,
-0.05406888201832771,
0.024266734719276428,
-0.023268379271030426,
-0.044655606150627136,
-0.007491328287869692,
0.10268433392047882,
0.03809924051165581,
-0.0482625849545002,
0.031750570982694626,
0.08942922204732895,
-0.06758341938257217,
0.09442371875047684,
-0.01857994683086872,
-0.022258149459958076,
0.013679220341145992,
-0.0158418919891119,
0.0077938842587172985,
-0.028877565637230873,
-0.0064124902710318565,
-0.057266514748334885,
-0.020564546808600426,
0.04314384236931801,
0.07698378711938858,
-0.05848579853773117,
0.05126282200217247,
0.03152289241552353,
-0.03761819750070572,
0.03779885172843933,
-0.0279421154409647,
0.08528341352939606,
0.0995297059416771,
0.019266165792942047,
0.016994860023260117,
0.06690814346075058,
-0.04049018770456314,
-0.06079952046275139,
0.05874943733215332,
0.09282997250556946,
-0.07340721786022186,
0.044572070240974426,
0.0023149617481976748,
0.0029567296151071787,
0.04127561300992966,
-0.0229401346296072,
-0.02195296436548233,
0.07200674712657928,
0.029183972626924515,
0.044443365186452866,
-0.017929626628756523,
0.012305973097682,
0.01243537850677967,
-0.08489902317523956,
0.09836350381374359,
0.0014997035032138228,
0.0069842091761529446,
0.007498826365917921,
-0.03898945450782776,
0.07561188191175461,
0.05243094265460968,
0.025999484583735466,
0.04449625685811043,
-0.021055536344647408,
0.03693503886461258,
0.0722787007689476,
-0.026409251615405083,
1.486981894855466e-33,
0.09694961458444595,
0.050529807806015015,
0.03592522442340851,
-0.053181763738393784,
-0.025970831513404846,
-0.03363589197397232,
-0.026608938351273537,
0.06108587980270386,
-0.06589937210083008,
-0.027801724150776863,
-0.01948576420545578,
0.06127883493900299,
-0.006013643927872181,
-0.04877379909157753,
0.04983902350068092,
-0.0029131448827683926,
-0.007157906424254179,
0.0590902641415596,
0.02623482421040535,
-0.004338239319622517,
-0.0020478235092014074,
-0.03865078091621399,
0.029244083911180496,
0.00020567324827425182,
0.017027953639626503,
-0.03222772106528282,
0.0404144711792469,
-0.04029273986816406,
0.01498361211270094,
0.023296579718589783,
-0.04355883598327637,
-0.01898426190018654,
-0.013017754070460796,
-0.042750924825668335,
0.10325440019369125,
-0.01910601370036602,
-0.04140164330601692,
-0.008872725069522858,
-0.004425674676895142,
-0.03144274279475212,
-0.06374109536409378,
0.0641925111413002,
-0.028390802443027496,
-0.09214233607053757,
-0.062114544212818146,
-0.018913572654128075,
-0.04226923733949661,
-0.08087562024593353,
0.04030407965183258,
-0.026320794597268105,
0.10424008965492249,
0.020039772614836693,
0.08829940110445023,
0.04229322448372841,
0.010875148698687553,
0.052092671394348145,
-0.011107265949249268,
-0.005503758788108826,
0.10468071699142456,
0.046287234872579575,
-0.00220216391608119,
-0.055139437317848206,
0.037601225078105927,
-0.03191858157515526,
0.0018783068517223,
0.008530385792255402,
0.03564950078725815,
0.03390920162200928,
-0.015856781974434853,
0.06584645062685013,
0.074495829641819,
0.024109696969389915,
-0.06279399991035461,
0.002979643177241087,
-0.08076615631580353,
0.03362792357802391,
0.04149642214179039,
-0.01256133895367384,
0.008555853739380836,
-0.005836163647472858,
0.0751161128282547,
-0.13904626667499542,
0.06575196236371994,
-0.03371220827102661,
-0.11170569062232971,
-0.008436877280473709,
0.024994907900691032,
-0.06760239601135254,
-0.010001987218856812,
0.06001293659210205,
-0.06974797695875168,
0.0022215009666979313,
-0.06029975786805153,
-0.04897597059607506,
-0.0064574796706438065,
5.632997398144211e-34,
-0.09788993746042252,
-0.01935160718858242,
-0.009388634003698826,
0.049964986741542816,
-0.012706617824733257,
-0.06440185755491257,
-0.04339726269245148,
-0.006264450494199991,
0.048843737691640854,
0.054041702300310135,
-0.03144019469618797,
-0.08038768172264099,
-0.035256627947092056,
-0.023210657760500908,
-0.002194203669205308,
0.004254791885614395,
0.02963036485016346,
-0.04787733405828476,
-0.09627489000558853,
0.05047756806015968,
-0.04884268715977669,
-0.0011953164357692003,
-0.09902940690517426,
-0.025184856727719307,
0.03179497271776199,
0.02490195445716381,
-0.002647995250299573,
0.030020739883184433,
-0.0011753751896321774,
-0.06167421117424965,
-0.05061178281903267,
-0.02573472261428833,
-0.05433960631489754,
-0.12604331970214844,
-0.04892286658287048,
0.02000615745782852,
0.07005473971366882,
0.12411565333604813,
0.048027098178863525,
0.034581393003463745,
0.04168204963207245,
0.023763062432408333,
-0.00913430005311966,
-0.06116647273302078,
-0.04965846613049507,
0.009230789728462696,
-0.0969647690653801,
0.06541958451271057,
-0.06486604362726212,
0.0034204362891614437,
0.051644641906023026,
0.02060033567249775,
-0.0038673467934131622,
0.029905181378126144,
0.006801655050367117,
-0.12335115671157837,
-0.01639295183122158,
0.03254057466983795,
-0.0422634482383728,
0.0016050542471930385,
-0.005657961126416922,
-0.034194931387901306,
-0.08076494932174683,
0.026794558390975,
-0.0029581913258880377,
-0.09545200318098068,
0.016750814393162727,
-0.008597698993980885,
-0.035202331840991974,
0.025185810402035713,
0.08359794318675995,
-0.06557004898786545,
-0.025975823402404785,
-0.03055490180850029,
0.027308300137519836,
0.03882183879613876,
0.08439069986343384,
0.061011720448732376,
0.01765776239335537,
0.06463607400655746,
0.025460517033934593,
0.06584589928388596,
0.038561757653951645,
-0.039744652807712555,
0.055202968418598175,
0.03957938775420189,
0.04840650409460068,
-0.012327211908996105,
0.0065449997782707214,
0.015392963774502277,
-0.010602356866002083,
0.007533301133662462,
-0.11627136170864105,
0.0368005633354187,
0.034373689442873,
-3.794396619127838e-8,
-0.07224174588918686,
-0.03156514838337898,
-0.0015218521002680063,
0.11772269755601883,
0.005445172544568777,
0.0425223745405674,
0.02477925457060337,
0.043739814311265945,
0.01205520611256361,
-0.02513889968395233,
0.05876930430531502,
-0.004023336339741945,
-0.02232006937265396,
-0.023238223046064377,
-0.01109609380364418,
0.06254610419273376,
-0.05744701623916626,
-0.07963565737009048,
-0.021409809589385986,
-0.002939231228083372,
-0.028718778863549232,
0.1329038143157959,
0.009967131540179253,
-0.08776631206274033,
0.09079213440418243,
0.011514166370034218,
-0.00713756587356329,
0.04957279935479164,
0.0403265543282032,
-0.0786072313785553,
-0.044681649655103683,
-0.040240101516246796,
-0.014186662621796131,
-0.11594042181968689,
0.07922118902206421,
0.08133257925510406,
-0.05395070090889931,
-0.018052440136671066,
-0.0795639380812645,
0.011252998374402523,
0.08056814223527908,
0.10894454270601273,
0.01675240322947502,
-0.002663771156221628,
-0.009963340125977993,
-0.008703870698809624,
0.00012255208275746554,
0.06339418888092041,
0.034232139587402344,
-0.02738008089363575,
-0.03122522309422493,
-0.11854547262191772,
0.0672203078866005,
0.034865718334913254,
0.026739032939076424,
0.012724645435810089,
-0.006661058869212866,
-0.025792812928557396,
0.03367413952946663,
0.053475767374038696,
0.10964080691337585,
-0.006382879335433245,
-0.05284382775425911,
0.03571736067533493
] | null | null | null | null | null | null | null |
[
-0.07265308499336243,
-0.016450421884655952,
-0.04436412453651428,
0.023045837879180908,
0.13132919371128082,
-0.06706393510103226,
-0.006170745939016342,
-0.012689267285168171,
0.08521664142608643,
0.030974507331848145,
-0.020280810073018074,
0.010321137495338917,
0.07237415760755539,
0.011870852671563625,
0.044323988258838654,
-0.029088007286190987,
0.021743247285485268,
-0.04555152729153633,
-0.05340459570288658,
-0.14656962454319,
-0.035004064440727234,
0.00743852648884058,
-0.010462366975843906,
0.0058105760253965855,
0.045551370829343796,
-0.02358485944569111,
-0.016583919525146484,
0.01679719239473343,
-0.020525356754660606,
0.033964719623327255,
-0.011570914648473263,
0.0015544125344604254,
-0.03748875483870506,
0.02459905296564102,
-0.07750348746776581,
-0.03664519265294075,
-0.06754740327596664,
0.030571890994906425,
-0.04328504577279091,
0.05258357897400856,
0.06137276440858841,
-0.04184158146381378,
-0.055086974054574966,
0.036888882517814636,
-0.04908592626452446,
0.06437309831380844,
-0.009325887076556683,
0.02649739943444729,
-0.06518422812223434,
0.12367650121450424,
-0.05435662344098091,
-0.04655386880040169,
0.024622881785035133,
0.06895782053470612,
-0.021292783319950104,
-0.029141424223780632,
-0.06670227646827698,
0.026425153017044067,
0.006759511772543192,
0.019806860014796257,
0.03742343187332153,
-0.08828084915876389,
-0.05406888201832771,
0.024266734719276428,
-0.023268379271030426,
-0.044655606150627136,
-0.007491328287869692,
0.10268433392047882,
0.03809924051165581,
-0.0482625849545002,
0.031750570982694626,
0.08942922204732895,
-0.06758341938257217,
0.09442371875047684,
-0.01857994683086872,
-0.022258149459958076,
0.013679220341145992,
-0.0158418919891119,
0.0077938842587172985,
-0.028877565637230873,
-0.0064124902710318565,
-0.057266514748334885,
-0.020564546808600426,
0.04314384236931801,
0.07698378711938858,
-0.05848579853773117,
0.05126282200217247,
0.03152289241552353,
-0.03761819750070572,
0.03779885172843933,
-0.0279421154409647,
0.08528341352939606,
0.0995297059416771,
0.019266165792942047,
0.016994860023260117,
0.06690814346075058,
-0.04049018770456314,
-0.06079952046275139,
0.05874943733215332,
0.09282997250556946,
-0.07340721786022186,
0.044572070240974426,
0.0023149617481976748,
0.0029567296151071787,
0.04127561300992966,
-0.0229401346296072,
-0.02195296436548233,
0.07200674712657928,
0.029183972626924515,
0.044443365186452866,
-0.017929626628756523,
0.012305973097682,
0.01243537850677967,
-0.08489902317523956,
0.09836350381374359,
0.0014997035032138228,
0.0069842091761529446,
0.007498826365917921,
-0.03898945450782776,
0.07561188191175461,
0.05243094265460968,
0.025999484583735466,
0.04449625685811043,
-0.021055536344647408,
0.03693503886461258,
0.0722787007689476,
-0.026409251615405083,
1.486981894855466e-33,
0.09694961458444595,
0.050529807806015015,
0.03592522442340851,
-0.053181763738393784,
-0.025970831513404846,
-0.03363589197397232,
-0.026608938351273537,
0.06108587980270386,
-0.06589937210083008,
-0.027801724150776863,
-0.01948576420545578,
0.06127883493900299,
-0.006013643927872181,
-0.04877379909157753,
0.04983902350068092,
-0.0029131448827683926,
-0.007157906424254179,
0.0590902641415596,
0.02623482421040535,
-0.004338239319622517,
-0.0020478235092014074,
-0.03865078091621399,
0.029244083911180496,
0.00020567324827425182,
0.017027953639626503,
-0.03222772106528282,
0.0404144711792469,
-0.04029273986816406,
0.01498361211270094,
0.023296579718589783,
-0.04355883598327637,
-0.01898426190018654,
-0.013017754070460796,
-0.042750924825668335,
0.10325440019369125,
-0.01910601370036602,
-0.04140164330601692,
-0.008872725069522858,
-0.004425674676895142,
-0.03144274279475212,
-0.06374109536409378,
0.0641925111413002,
-0.028390802443027496,
-0.09214233607053757,
-0.062114544212818146,
-0.018913572654128075,
-0.04226923733949661,
-0.08087562024593353,
0.04030407965183258,
-0.026320794597268105,
0.10424008965492249,
0.020039772614836693,
0.08829940110445023,
0.04229322448372841,
0.010875148698687553,
0.052092671394348145,
-0.011107265949249268,
-0.005503758788108826,
0.10468071699142456,
0.046287234872579575,
-0.00220216391608119,
-0.055139437317848206,
0.037601225078105927,
-0.03191858157515526,
0.0018783068517223,
0.008530385792255402,
0.03564950078725815,
0.03390920162200928,
-0.015856781974434853,
0.06584645062685013,
0.074495829641819,
0.024109696969389915,
-0.06279399991035461,
0.002979643177241087,
-0.08076615631580353,
0.03362792357802391,
0.04149642214179039,
-0.01256133895367384,
0.008555853739380836,
-0.005836163647472858,
0.0751161128282547,
-0.13904626667499542,
0.06575196236371994,
-0.03371220827102661,
-0.11170569062232971,
-0.008436877280473709,
0.024994907900691032,
-0.06760239601135254,
-0.010001987218856812,
0.06001293659210205,
-0.06974797695875168,
0.0022215009666979313,
-0.06029975786805153,
-0.04897597059607506,
-0.0064574796706438065,
5.632997398144211e-34,
-0.09788993746042252,
-0.01935160718858242,
-0.009388634003698826,
0.049964986741542816,
-0.012706617824733257,
-0.06440185755491257,
-0.04339726269245148,
-0.006264450494199991,
0.048843737691640854,
0.054041702300310135,
-0.03144019469618797,
-0.08038768172264099,
-0.035256627947092056,
-0.023210657760500908,
-0.002194203669205308,
0.004254791885614395,
0.02963036485016346,
-0.04787733405828476,
-0.09627489000558853,
0.05047756806015968,
-0.04884268715977669,
-0.0011953164357692003,
-0.09902940690517426,
-0.025184856727719307,
0.03179497271776199,
0.02490195445716381,
-0.002647995250299573,
0.030020739883184433,
-0.0011753751896321774,
-0.06167421117424965,
-0.05061178281903267,
-0.02573472261428833,
-0.05433960631489754,
-0.12604331970214844,
-0.04892286658287048,
0.02000615745782852,
0.07005473971366882,
0.12411565333604813,
0.048027098178863525,
0.034581393003463745,
0.04168204963207245,
0.023763062432408333,
-0.00913430005311966,
-0.06116647273302078,
-0.04965846613049507,
0.009230789728462696,
-0.0969647690653801,
0.06541958451271057,
-0.06486604362726212,
0.0034204362891614437,
0.051644641906023026,
0.02060033567249775,
-0.0038673467934131622,
0.029905181378126144,
0.006801655050367117,
-0.12335115671157837,
-0.01639295183122158,
0.03254057466983795,
-0.0422634482383728,
0.0016050542471930385,
-0.005657961126416922,
-0.034194931387901306,
-0.08076494932174683,
0.026794558390975,
-0.0029581913258880377,
-0.09545200318098068,
0.016750814393162727,
-0.008597698993980885,
-0.035202331840991974,
0.025185810402035713,
0.08359794318675995,
-0.06557004898786545,
-0.025975823402404785,
-0.03055490180850029,
0.027308300137519836,
0.03882183879613876,
0.08439069986343384,
0.061011720448732376,
0.01765776239335537,
0.06463607400655746,
0.025460517033934593,
0.06584589928388596,
0.038561757653951645,
-0.039744652807712555,
0.055202968418598175,
0.03957938775420189,
0.04840650409460068,
-0.012327211908996105,
0.0065449997782707214,
0.015392963774502277,
-0.010602356866002083,
0.007533301133662462,
-0.11627136170864105,
0.0368005633354187,
0.034373689442873,
-3.794396619127838e-8,
-0.07224174588918686,
-0.03156514838337898,
-0.0015218521002680063,
0.11772269755601883,
0.005445172544568777,
0.0425223745405674,
0.02477925457060337,
0.043739814311265945,
0.01205520611256361,
-0.02513889968395233,
0.05876930430531502,
-0.004023336339741945,
-0.02232006937265396,
-0.023238223046064377,
-0.01109609380364418,
0.06254610419273376,
-0.05744701623916626,
-0.07963565737009048,
-0.021409809589385986,
-0.002939231228083372,
-0.028718778863549232,
0.1329038143157959,
0.009967131540179253,
-0.08776631206274033,
0.09079213440418243,
0.011514166370034218,
-0.00713756587356329,
0.04957279935479164,
0.0403265543282032,
-0.0786072313785553,
-0.044681649655103683,
-0.040240101516246796,
-0.014186662621796131,
-0.11594042181968689,
0.07922118902206421,
0.08133257925510406,
-0.05395070090889931,
-0.018052440136671066,
-0.0795639380812645,
0.011252998374402523,
0.08056814223527908,
0.10894454270601273,
0.01675240322947502,
-0.002663771156221628,
-0.009963340125977993,
-0.008703870698809624,
0.00012255208275746554,
0.06339418888092041,
0.034232139587402344,
-0.02738008089363575,
-0.03122522309422493,
-0.11854547262191772,
0.0672203078866005,
0.034865718334913254,
0.026739032939076424,
0.012724645435810089,
-0.006661058869212866,
-0.025792812928557396,
0.03367413952946663,
0.053475767374038696,
0.10964080691337585,
-0.006382879335433245,
-0.05284382775425911,
0.03571736067533493
] |
1401.7918
|
Emilija Celakoska
|
Kostadin Tren\v{c}evski, Emilija Celakoska
|
Equations of motion for two-body problem according to an observer inside
the gravitational field
| null |
JDSGT 9(2), 2011
|
10.1080/1726037X.2011.10698596
| null |
physics.gen-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider equations of motion for 2-body problem according to
an observer close to one of the gravitational bodies. The influence of the
Thomas precession of the observer's frame has an important role. The equations
of motion are based on a nonlinear connection modified by the action of an
orthogonal tensor which synchronizes the 4-velocities of the considered two
bodies. Finally we present periastron shift according to an observer inside the
gravitational field, using the orthonormal coordinates. This is different
approach than that used in General Relativity where the periastron shift is
only given as observed far from the massive bodies.
|
[
{
"created": "Sat, 4 Jan 2014 17:51:43 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Trenčevski",
"Kostadin",
""
],
[
"Celakoska",
"Emilija",
""
]
] |
[
-0.014093363657593727,
0.0003542975173331797,
0.0473920963704586,
-0.10157134383916855,
-0.05713977664709091,
0.010201258584856987,
-0.024140309542417526,
-0.04310843348503113,
-0.010122731328010559,
0.002762498799711466,
0.09023624658584595,
-0.01997530087828636,
-0.07829858362674713,
-0.04897212237119675,
-0.05723477900028229,
0.054623961448669434,
0.003630748949944973,
0.07166322320699692,
-0.020430531352758408,
0.05817694962024689,
-0.022915108129382133,
-0.044531676918268204,
-0.017941493541002274,
0.07305959612131119,
0.0031438202131539583,
-0.01879936084151268,
0.02425515651702881,
-0.04117041081190109,
-0.04789302870631218,
-0.018546413630247116,
0.01990964077413082,
-0.04578759893774986,
-0.03878578543663025,
-0.03421860933303833,
-0.10522427409887314,
0.0806674212217331,
0.011146419681608677,
-0.0014044124400243163,
-0.09741024672985077,
-0.024387717247009277,
0.03443824499845505,
0.03134630247950554,
-0.01093515008687973,
0.05459415912628174,
0.05756065621972084,
0.023193426430225372,
0.026443995535373688,
0.031274762004613876,
0.04127698391675949,
-0.03847121819853783,
-0.06195589154958725,
-0.02233322709798813,
-0.0265568308532238,
-0.03391825780272484,
0.026284854859113693,
0.007051507476717234,
-0.025632422417402267,
-0.006509590428322554,
0.013849291950464249,
-0.05919637158513069,
0.09823049604892731,
0.016050005331635475,
-0.003296332200989127,
-0.0028901309706270695,
0.0015474462416023016,
0.011720394715666771,
-0.011700386181473732,
-0.060987379401922226,
-0.079366534948349,
0.0057386066764593124,
0.01509583368897438,
0.027315828949213028,
0.052498918026685715,
-0.08579494804143906,
-0.016629884019494057,
-0.02993004396557808,
0.04646868258714676,
0.0691625326871872,
0.07001540064811707,
-0.016423774883151054,
0.024401897564530373,
-0.027961064130067825,
-0.06845703721046448,
-0.015973908826708794,
-0.07791312783956528,
-0.00828069169074297,
-0.026773545891046524,
0.011723375879228115,
0.00020299213065300137,
-0.04362975433468819,
0.045302510261535645,
-0.059606149792671204,
0.040447480976581573,
-0.0558118112385273,
0.04675348848104477,
-0.013166793622076511,
-0.020981721580028534,
0.008987398818135262,
0.126751109957695,
0.04070267081260681,
0.01754513755440712,
-0.05073206126689911,
-0.0334889255464077,
0.17577563226222992,
0.036584898829460144,
0.09084509313106537,
-0.059272367507219315,
-0.04014192149043083,
-0.000268804666120559,
0.039515696465969086,
0.051634661853313446,
0.06198406219482422,
0.0005555682582780719,
0.05203342065215111,
-0.07856344431638718,
0.022666340693831444,
0.13136082887649536,
0.09409677982330322,
0.10010423511266708,
-0.0045087458565831184,
-0.03917775675654411,
-0.035480815917253494,
0.03599388897418976,
-0.017957985401153564,
-0.007044441066682339,
0.018001334741711617,
0.032258402556180954,
2.29563141250424e-34,
-0.040275827050209045,
-0.032720278948545456,
0.0523810088634491,
0.014647778123617172,
-0.032579101622104645,
0.09339236468076706,
-0.09977709501981735,
0.07817088067531586,
0.10678111016750336,
-0.04879578948020935,
-0.07229729741811752,
-0.08125493675470352,
0.01483710203319788,
-0.05135421082377434,
-0.042252637445926666,
-0.08583257347345352,
0.08773280680179596,
-0.01750043034553528,
0.10899362713098526,
0.033984486013650894,
-0.027706827968358994,
0.01276987325400114,
-0.08458825945854187,
0.0013238009996712208,
-0.05751840025186539,
0.08856257051229477,
0.012533461675047874,
-0.0062186201103031635,
-0.04089970141649246,
-0.041268397122621536,
-0.03673738241195679,
-0.032443977892398834,
-0.010571329854428768,
0.0006459338474087417,
-0.04981830343604088,
-0.01576010324060917,
-0.014071203768253326,
-0.00217459537088871,
-0.033932577818632126,
0.006217543501406908,
-0.04097552224993706,
0.015954095870256424,
-0.08036598563194275,
-0.11755012720823288,
-0.006009123288094997,
-0.037101052701473236,
0.03903711959719658,
0.11811380088329315,
0.029737841337919235,
0.04014555737376213,
-0.036831583827733994,
0.023062748834490776,
-0.05996442213654518,
-0.08786112070083618,
0.029616868123412132,
-0.009782018139958382,
-0.06154792010784149,
0.019617773592472076,
0.024019667878746986,
-0.005838957615196705,
0.08103427290916443,
0.04644455388188362,
0.11817382276058197,
-0.05035896971821785,
0.06677640229463577,
-0.00745027931407094,
-0.07105745375156403,
-0.029631629586219788,
0.03251766040921211,
-0.006429412867873907,
-0.04958416149020195,
-0.025898171588778496,
0.011433808133006096,
0.05934015288949013,
-0.0165951456874609,
0.024969402700662613,
-0.027283070608973503,
-0.008925673551857471,
-0.009539381600916386,
-0.014027153141796589,
-0.03294507786631584,
-0.008483503013849258,
0.05459838733077049,
0.03822116553783417,
-0.023813584819436073,
0.08964294195175171,
-0.08384902775287628,
0.011714630760252476,
-0.005590077955275774,
-0.0044464473612606525,
-0.03711608424782753,
0.0027253746520727873,
-0.08487182855606079,
0.021669749170541763,
0.02545369230210781,
-2.8113330442487145e-33,
-0.0013503001537173986,
-0.058777108788490295,
0.02563532069325447,
0.011407981626689434,
0.09832553565502167,
-0.016924245283007622,
-0.018367426469922066,
0.011799951083958149,
-0.03485482558608055,
0.011354967951774597,
-0.037439748644828796,
-0.009327357634902,
-0.007041428703814745,
0.00892170611768961,
0.061483193188905716,
0.10214357823133469,
0.09373477846384048,
-0.01269078254699707,
-0.08152636885643005,
0.0132868941873312,
-0.0077207619324326515,
0.040491122752428055,
0.01748647168278694,
-0.020770203322172165,
0.016571151092648506,
-0.058812133967876434,
0.07546047866344452,
0.03940843790769577,
-0.10584349185228348,
0.013837656937539577,
0.03314526006579399,
-0.01642388477921486,
0.027059584856033325,
0.06520246714353561,
-0.03430107980966568,
0.023479603230953217,
-0.04016033187508583,
0.06190919503569603,
0.06540654599666595,
0.04407491907477379,
-0.022213097661733627,
0.08674510568380356,
0.07504034042358398,
0.06010272353887558,
-0.0451037771999836,
-0.02347257360816002,
-0.0013835328863933682,
0.040836989879608154,
-0.0640135109424591,
0.00016893327119760215,
-0.11610815674066544,
-0.04342624172568321,
0.010723099112510681,
-0.1166125163435936,
-0.08958791196346283,
0.08270932734012604,
-0.031763430684804916,
-0.0615721195936203,
0.07097693532705307,
-0.017055753618478775,
0.05591285973787308,
-0.039742518216371536,
0.060969360172748566,
0.04861435666680336,
0.010965864174067974,
0.015841443091630936,
-0.033030830323696136,
0.05812957510352135,
-0.047571662813425064,
0.04333324730396271,
0.007862602360546589,
-0.0620003379881382,
-0.062001362442970276,
0.045300841331481934,
0.00376744638197124,
0.07684990763664246,
0.08890991657972336,
-0.05939769372344017,
0.0930241048336029,
-0.048673275858163834,
0.0061869132332503796,
-0.02583884634077549,
0.11190439760684967,
0.02381306327879429,
-0.11359913647174835,
0.050965260714292526,
-0.014269131235778332,
0.06348176300525665,
0.03234689682722092,
0.007797728758305311,
-0.10700780153274536,
0.08967474102973938,
0.004255278501659632,
-0.05326555669307709,
0.01310385949909687,
-4.387399243910295e-8,
-0.04088444262742996,
-0.059890422970056534,
-0.03061693347990513,
0.07755030691623688,
-0.1116163432598114,
0.021329227834939957,
-0.03667978197336197,
0.005339192226529121,
-0.05160069093108177,
-0.04177270457148552,
-0.06298715621232986,
0.007825920358300209,
-0.03939608857035637,
-0.013865988701581955,
-0.070319764316082,
0.04712475836277008,
0.02194303646683693,
-0.05579835921525955,
-0.041542839258909225,
0.0689002126455307,
0.04138125851750374,
0.018661804497241974,
0.03510040417313576,
-0.018032371997833252,
0.04194086790084839,
-0.07762951403856277,
-0.005070533603429794,
0.05524653568863869,
-0.042624734342098236,
0.013259293511509895,
-0.0053322650492191315,
0.019784346222877502,
-0.021177785471081734,
-0.06965850293636322,
-0.022715730592608452,
-0.035375677049160004,
0.10713039338588715,
0.026728428900241852,
0.04091945290565491,
-0.0023278992157429457,
0.04364703968167305,
0.0630573257803917,
-0.026741838082671165,
0.008689841255545616,
0.04112127423286438,
0.04048432037234306,
-0.0008388431160710752,
-0.06681914627552032,
0.009174901992082596,
0.02389824390411377,
0.04153326898813248,
0.024554623290896416,
-0.0609065517783165,
0.02391950972378254,
0.03846732899546623,
-0.038003191351890564,
0.02627645619213581,
-0.008873285725712776,
0.015877971425652504,
-0.04180159792304039,
-0.04762816056609154,
0.08124886453151703,
0.030684635043144226,
-0.06822074949741364
] | null | null | null | null | null | null | null |
[
-0.014093363657593727,
0.0003542975173331797,
0.0473920963704586,
-0.10157134383916855,
-0.05713977664709091,
0.010201258584856987,
-0.024140309542417526,
-0.04310843348503113,
-0.010122731328010559,
0.002762498799711466,
0.09023624658584595,
-0.01997530087828636,
-0.07829858362674713,
-0.04897212237119675,
-0.05723477900028229,
0.054623961448669434,
0.003630748949944973,
0.07166322320699692,
-0.020430531352758408,
0.05817694962024689,
-0.022915108129382133,
-0.044531676918268204,
-0.017941493541002274,
0.07305959612131119,
0.0031438202131539583,
-0.01879936084151268,
0.02425515651702881,
-0.04117041081190109,
-0.04789302870631218,
-0.018546413630247116,
0.01990964077413082,
-0.04578759893774986,
-0.03878578543663025,
-0.03421860933303833,
-0.10522427409887314,
0.0806674212217331,
0.011146419681608677,
-0.0014044124400243163,
-0.09741024672985077,
-0.024387717247009277,
0.03443824499845505,
0.03134630247950554,
-0.01093515008687973,
0.05459415912628174,
0.05756065621972084,
0.023193426430225372,
0.026443995535373688,
0.031274762004613876,
0.04127698391675949,
-0.03847121819853783,
-0.06195589154958725,
-0.02233322709798813,
-0.0265568308532238,
-0.03391825780272484,
0.026284854859113693,
0.007051507476717234,
-0.025632422417402267,
-0.006509590428322554,
0.013849291950464249,
-0.05919637158513069,
0.09823049604892731,
0.016050005331635475,
-0.003296332200989127,
-0.0028901309706270695,
0.0015474462416023016,
0.011720394715666771,
-0.011700386181473732,
-0.060987379401922226,
-0.079366534948349,
0.0057386066764593124,
0.01509583368897438,
0.027315828949213028,
0.052498918026685715,
-0.08579494804143906,
-0.016629884019494057,
-0.02993004396557808,
0.04646868258714676,
0.0691625326871872,
0.07001540064811707,
-0.016423774883151054,
0.024401897564530373,
-0.027961064130067825,
-0.06845703721046448,
-0.015973908826708794,
-0.07791312783956528,
-0.00828069169074297,
-0.026773545891046524,
0.011723375879228115,
0.00020299213065300137,
-0.04362975433468819,
0.045302510261535645,
-0.059606149792671204,
0.040447480976581573,
-0.0558118112385273,
0.04675348848104477,
-0.013166793622076511,
-0.020981721580028534,
0.008987398818135262,
0.126751109957695,
0.04070267081260681,
0.01754513755440712,
-0.05073206126689911,
-0.0334889255464077,
0.17577563226222992,
0.036584898829460144,
0.09084509313106537,
-0.059272367507219315,
-0.04014192149043083,
-0.000268804666120559,
0.039515696465969086,
0.051634661853313446,
0.06198406219482422,
0.0005555682582780719,
0.05203342065215111,
-0.07856344431638718,
0.022666340693831444,
0.13136082887649536,
0.09409677982330322,
0.10010423511266708,
-0.0045087458565831184,
-0.03917775675654411,
-0.035480815917253494,
0.03599388897418976,
-0.017957985401153564,
-0.007044441066682339,
0.018001334741711617,
0.032258402556180954,
2.29563141250424e-34,
-0.040275827050209045,
-0.032720278948545456,
0.0523810088634491,
0.014647778123617172,
-0.032579101622104645,
0.09339236468076706,
-0.09977709501981735,
0.07817088067531586,
0.10678111016750336,
-0.04879578948020935,
-0.07229729741811752,
-0.08125493675470352,
0.01483710203319788,
-0.05135421082377434,
-0.042252637445926666,
-0.08583257347345352,
0.08773280680179596,
-0.01750043034553528,
0.10899362713098526,
0.033984486013650894,
-0.027706827968358994,
0.01276987325400114,
-0.08458825945854187,
0.0013238009996712208,
-0.05751840025186539,
0.08856257051229477,
0.012533461675047874,
-0.0062186201103031635,
-0.04089970141649246,
-0.041268397122621536,
-0.03673738241195679,
-0.032443977892398834,
-0.010571329854428768,
0.0006459338474087417,
-0.04981830343604088,
-0.01576010324060917,
-0.014071203768253326,
-0.00217459537088871,
-0.033932577818632126,
0.006217543501406908,
-0.04097552224993706,
0.015954095870256424,
-0.08036598563194275,
-0.11755012720823288,
-0.006009123288094997,
-0.037101052701473236,
0.03903711959719658,
0.11811380088329315,
0.029737841337919235,
0.04014555737376213,
-0.036831583827733994,
0.023062748834490776,
-0.05996442213654518,
-0.08786112070083618,
0.029616868123412132,
-0.009782018139958382,
-0.06154792010784149,
0.019617773592472076,
0.024019667878746986,
-0.005838957615196705,
0.08103427290916443,
0.04644455388188362,
0.11817382276058197,
-0.05035896971821785,
0.06677640229463577,
-0.00745027931407094,
-0.07105745375156403,
-0.029631629586219788,
0.03251766040921211,
-0.006429412867873907,
-0.04958416149020195,
-0.025898171588778496,
0.011433808133006096,
0.05934015288949013,
-0.0165951456874609,
0.024969402700662613,
-0.027283070608973503,
-0.008925673551857471,
-0.009539381600916386,
-0.014027153141796589,
-0.03294507786631584,
-0.008483503013849258,
0.05459838733077049,
0.03822116553783417,
-0.023813584819436073,
0.08964294195175171,
-0.08384902775287628,
0.011714630760252476,
-0.005590077955275774,
-0.0044464473612606525,
-0.03711608424782753,
0.0027253746520727873,
-0.08487182855606079,
0.021669749170541763,
0.02545369230210781,
-2.8113330442487145e-33,
-0.0013503001537173986,
-0.058777108788490295,
0.02563532069325447,
0.011407981626689434,
0.09832553565502167,
-0.016924245283007622,
-0.018367426469922066,
0.011799951083958149,
-0.03485482558608055,
0.011354967951774597,
-0.037439748644828796,
-0.009327357634902,
-0.007041428703814745,
0.00892170611768961,
0.061483193188905716,
0.10214357823133469,
0.09373477846384048,
-0.01269078254699707,
-0.08152636885643005,
0.0132868941873312,
-0.0077207619324326515,
0.040491122752428055,
0.01748647168278694,
-0.020770203322172165,
0.016571151092648506,
-0.058812133967876434,
0.07546047866344452,
0.03940843790769577,
-0.10584349185228348,
0.013837656937539577,
0.03314526006579399,
-0.01642388477921486,
0.027059584856033325,
0.06520246714353561,
-0.03430107980966568,
0.023479603230953217,
-0.04016033187508583,
0.06190919503569603,
0.06540654599666595,
0.04407491907477379,
-0.022213097661733627,
0.08674510568380356,
0.07504034042358398,
0.06010272353887558,
-0.0451037771999836,
-0.02347257360816002,
-0.0013835328863933682,
0.040836989879608154,
-0.0640135109424591,
0.00016893327119760215,
-0.11610815674066544,
-0.04342624172568321,
0.010723099112510681,
-0.1166125163435936,
-0.08958791196346283,
0.08270932734012604,
-0.031763430684804916,
-0.0615721195936203,
0.07097693532705307,
-0.017055753618478775,
0.05591285973787308,
-0.039742518216371536,
0.060969360172748566,
0.04861435666680336,
0.010965864174067974,
0.015841443091630936,
-0.033030830323696136,
0.05812957510352135,
-0.047571662813425064,
0.04333324730396271,
0.007862602360546589,
-0.0620003379881382,
-0.062001362442970276,
0.045300841331481934,
0.00376744638197124,
0.07684990763664246,
0.08890991657972336,
-0.05939769372344017,
0.0930241048336029,
-0.048673275858163834,
0.0061869132332503796,
-0.02583884634077549,
0.11190439760684967,
0.02381306327879429,
-0.11359913647174835,
0.050965260714292526,
-0.014269131235778332,
0.06348176300525665,
0.03234689682722092,
0.007797728758305311,
-0.10700780153274536,
0.08967474102973938,
0.004255278501659632,
-0.05326555669307709,
0.01310385949909687,
-4.387399243910295e-8,
-0.04088444262742996,
-0.059890422970056534,
-0.03061693347990513,
0.07755030691623688,
-0.1116163432598114,
0.021329227834939957,
-0.03667978197336197,
0.005339192226529121,
-0.05160069093108177,
-0.04177270457148552,
-0.06298715621232986,
0.007825920358300209,
-0.03939608857035637,
-0.013865988701581955,
-0.070319764316082,
0.04712475836277008,
0.02194303646683693,
-0.05579835921525955,
-0.041542839258909225,
0.0689002126455307,
0.04138125851750374,
0.018661804497241974,
0.03510040417313576,
-0.018032371997833252,
0.04194086790084839,
-0.07762951403856277,
-0.005070533603429794,
0.05524653568863869,
-0.042624734342098236,
0.013259293511509895,
-0.0053322650492191315,
0.019784346222877502,
-0.021177785471081734,
-0.06965850293636322,
-0.022715730592608452,
-0.035375677049160004,
0.10713039338588715,
0.026728428900241852,
0.04091945290565491,
-0.0023278992157429457,
0.04364703968167305,
0.0630573257803917,
-0.026741838082671165,
0.008689841255545616,
0.04112127423286438,
0.04048432037234306,
-0.0008388431160710752,
-0.06681914627552032,
0.009174901992082596,
0.02389824390411377,
0.04153326898813248,
0.024554623290896416,
-0.0609065517783165,
0.02391950972378254,
0.03846732899546623,
-0.038003191351890564,
0.02627645619213581,
-0.008873285725712776,
0.015877971425652504,
-0.04180159792304039,
-0.04762816056609154,
0.08124886453151703,
0.030684635043144226,
-0.06822074949741364
] |
1401.7921
|
Daniel R. Amor
|
Daniel R. Amor and Ricard V. Sol\'e
|
Catastrophic shifts and lethal thresholds in a propagating front model
of unstable tumour progression
|
10 pages, 5 figures
| null |
10.1103/PhysRevE.90.022710
| null |
physics.bio-ph q-bio.CB q-bio.PE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unstable dynamics characterizes the evolution of most solid tumors. Because
of an increased failure of maintaining genome integrity, a cumulative increase
in the levels of gene mutation and loss is observed. Previous work suggests
that instability thresholds to cancer progression exist, defining phase
transition phenomena separating tumor-winning scenarios from tumor extinction
or coexistence phases. Here we present an integral equation approach to the
quasispecies dynamics of unstable cancer. The model exhibits two main phases,
characterized by either the success or failure of cancer tissue. Moreover, the
model predicts that tumor failure can be due to either a reduced selective
advantage over healthy cells or excessive instability. We also derive an
approximate, analytical solution that predicts the front speed of aggressive
tumor populations on the instability space.
|
[
{
"created": "Thu, 30 Jan 2014 16:52:34 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2014 09:34:26 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Amor",
"Daniel R.",
""
],
[
"Solé",
"Ricard V.",
""
]
] |
[
-0.052164170891046524,
-0.018068557605147362,
0.027897518128156662,
-0.045178260654211044,
0.005729924887418747,
-0.05958394706249237,
0.01369946077466011,
0.0034422341268509626,
0.016694089397788048,
-0.06227811798453331,
-0.04663732647895813,
0.04749632626771927,
0.02365872636437416,
-0.045111700892448425,
-0.03227147087454796,
0.03014741837978363,
-0.09581267833709717,
0.02442609705030918,
-0.021183842793107033,
0.06066811829805374,
-0.04517567902803421,
0.07213947921991348,
0.003559235716238618,
0.07724355906248093,
-0.048024605959653854,
-0.041823554784059525,
-0.021383879706263542,
0.02090407907962799,
-0.02574945241212845,
-0.06126140058040619,
0.08936808258295059,
-0.07135488837957382,
-0.12700356543064117,
0.018531497567892075,
0.012594920583069324,
-0.04525451362133026,
-0.013889909721910954,
0.03310765326023102,
-0.049288153648376465,
0.011184058152139187,
0.004876548890024424,
0.059664368629455566,
-0.010211529210209846,
0.06974876672029495,
0.10826347768306732,
-0.08265255391597748,
-0.08633140474557877,
-0.05861939117312431,
0.019403789192438126,
0.026040544733405113,
-0.069247767329216,
0.0054130577482283115,
-0.02700858935713768,
0.06705977022647858,
0.033600881695747375,
-0.0337657555937767,
0.01746644824743271,
0.03581984341144562,
-0.025717193260788918,
-0.06591056287288666,
0.11583104729652405,
-0.023672407492995262,
0.022126179188489914,
-0.03475969284772873,
0.07471149414777756,
0.02261224016547203,
0.05429379269480705,
0.01389656774699688,
-0.04369310662150383,
0.09653599560260773,
-0.005282251629978418,
0.007293647155165672,
-0.045189712196588516,
-0.021538259461522102,
0.029587412253022194,
-0.008461501449346542,
0.039726339280605316,
0.09061089903116226,
0.003905354766175151,
0.04955093935132027,
0.030479252338409424,
0.014850909821689129,
0.007474081125110388,
-0.07039891928434372,
-0.10231371968984604,
-0.053614042699337006,
0.038314346224069595,
-0.003667621873319149,
0.09879732877016068,
0.020465295761823654,
-0.03470031917095184,
0.13077183067798615,
0.04223125800490379,
0.005736420396715403,
0.023992886766791344,
0.029094906523823738,
0.07088157534599304,
-0.0872993916273117,
0.07746396958827972,
-0.01015391107648611,
-0.045473694801330566,
-0.07850980013608932,
0.06686922907829285,
0.0478084534406662,
0.10387960076332092,
-0.0732031911611557,
-0.01709671877324581,
0.026566479355096817,
-0.05507996305823326,
0.09399084001779556,
0.061541371047496796,
-0.015822768211364746,
0.05100017413496971,
0.11618214100599289,
0.01086078304797411,
0.03639180585741997,
-0.02721419744193554,
-0.0040834201499819756,
0.006543033756315708,
-0.016898490488529205,
0.026226254180073738,
-0.05829710513353348,
-0.05054769292473793,
0.01883208379149437,
-0.012287309393286705,
-0.016248276457190514,
-0.010516943410038948,
3.636729269717127e-34,
0.008184131234884262,
-0.07840961962938309,
0.05804568901658058,
0.10919161140918732,
-0.0586334727704525,
-0.07815464586019516,
0.02878335677087307,
-0.06582368165254593,
-0.07930079847574234,
0.010413619689643383,
-0.03472232446074486,
-0.013215647079050541,
-0.05424484238028526,
-0.02072969079017639,
0.02165386639535427,
-0.03352513909339905,
0.015461446717381477,
0.06301181763410568,
-0.009822774678468704,
-0.08646930009126663,
-0.01571260392665863,
-0.05187235400080681,
-0.039273928850889206,
-0.07069462537765503,
-0.00802427064627409,
0.034654341638088226,
-0.04405483976006508,
0.028657270595431328,
-0.0028598050121217966,
0.040500707924366,
-0.0407184474170208,
0.023176126182079315,
0.009975931607186794,
0.047668080776929855,
0.04249805584549904,
0.03166019544005394,
-0.04162400960922241,
-0.040802001953125,
0.09010013937950134,
0.08701992779970169,
-0.09772395342588425,
0.00795613694936037,
0.07328692078590393,
-0.04571827873587608,
0.07493213564157486,
-0.0843873918056488,
0.06312936544418335,
0.014260813593864441,
-0.10010121762752533,
-0.0066713071428239346,
-0.06924363970756531,
-0.051521316170692444,
-0.0028286112938076258,
0.04218469187617302,
0.0014248060761019588,
-0.04694269597530365,
-0.00548867043107748,
0.022382749244570732,
-0.1514531672000885,
0.02195657603442669,
0.05908622592687607,
-0.06550094485282898,
0.003736473387107253,
-0.03371160849928856,
0.023549934849143028,
-0.0073731024749577045,
-0.04288458824157715,
-0.07394732534885406,
0.03343787416815758,
0.03014657087624073,
0.06006789579987526,
-0.04375782608985901,
0.019698601216077805,
-0.06157749891281128,
0.01297648437321186,
-0.02728162333369255,
0.05875080078840256,
0.06002547964453697,
-0.05142746865749359,
0.03665858134627342,
-0.01794285513460636,
-0.05492742359638214,
-0.1640448123216629,
0.022582272067666054,
-0.010144833475351334,
-0.021400852128863335,
0.06674116849899292,
-0.014629744924604893,
-0.10767126828432083,
-0.006382061634212732,
-0.01452588103711605,
-0.015619704499840736,
0.03989041969180107,
0.020980900153517723,
0.02378910966217518,
-2.6395167287897825e-33,
0.067679762840271,
-0.04983651638031006,
0.017956901341676712,
0.01623096689581871,
-0.008731270208954811,
0.041224971413612366,
-0.038172099739313126,
0.0662013590335846,
-0.020569026470184326,
-0.05848914012312889,
0.0318717360496521,
0.041709426790475845,
-0.027287622913718224,
-0.0016050019767135382,
-0.0012999747414141893,
-0.0989609882235527,
0.09171535074710846,
0.002078498713672161,
0.0240332018584013,
-0.012134338729083538,
0.004877306520938873,
-0.022797105833888054,
-0.04445234313607216,
-0.0003181360079906881,
-0.0364668071269989,
-0.018562130630016327,
-0.10856546461582184,
0.0602545365691185,
-0.022362759336829185,
0.04272100329399109,
-0.1038283258676529,
-0.02476421184837818,
0.010659686289727688,
0.10023609548807144,
-0.02945617400109768,
0.013568054884672165,
0.052334532141685486,
-0.03911636769771576,
0.09981907904148102,
-0.008386094123125076,
-0.028246842324733734,
0.012904266826808453,
-0.047456786036491394,
0.02840666100382805,
0.0833696499466896,
-0.004822891671210527,
0.06801823526620865,
0.08082134276628494,
0.0689917579293251,
0.00047805954818613827,
0.0007922353106550872,
0.030586358159780502,
0.0001344232732662931,
0.01991804875433445,
-0.04581597074866295,
0.0743061900138855,
-0.024982677772641182,
-0.026944156736135483,
-0.05200987309217453,
0.0267809946089983,
-0.07611174881458282,
-0.05537940561771393,
0.036136552691459656,
0.05026128143072128,
-0.01692168228328228,
0.0542416088283062,
-0.0541902631521225,
-0.04369140788912773,
0.04223129525780678,
0.03991842642426491,
0.02358155883848667,
0.04643313214182854,
0.054025016725063324,
-0.0024910641368478537,
0.0316629558801651,
-0.003058062167838216,
0.045756589621305466,
-0.030621469020843506,
0.040001824498176575,
-0.05280589684844017,
-0.04453939571976662,
0.07748452574014664,
0.014979613944888115,
-0.03427910804748535,
0.01821863278746605,
0.0012636870378628373,
-0.06874397397041321,
0.01866190880537033,
-0.062415897846221924,
-0.025463048368692398,
0.004025643691420555,
-0.06714510917663574,
0.016099918633699417,
-0.07292590290307999,
-0.0608062818646431,
-4.3555395734529156e-8,
0.04358429089188576,
0.029766401275992393,
0.03577226400375366,
-0.04487191140651703,
0.07250624150037766,
0.05778712406754494,
-0.022313730791211128,
-0.06180701032280922,
0.11268129199743271,
0.041313286870718,
0.0006753042107447982,
-0.00798115972429514,
0.04217113181948662,
-0.07482536882162094,
-0.07877355813980103,
0.08909116685390472,
-0.002797296503558755,
0.03682221472263336,
-0.05446106940507889,
-0.0057113817892968655,
-0.08709865063428879,
-0.04397883266210556,
-0.03963416814804077,
0.013820109888911247,
-0.0011322051286697388,
0.014754326082766056,
-0.0010438590543344617,
-0.037795234471559525,
0.003313214983791113,
0.050333421677351,
0.023030083626508713,
-0.059078749269247055,
0.03656332939863205,
0.09603619575500488,
-0.06151105836033821,
0.045107439160346985,
-0.0009919960284605622,
-0.047970205545425415,
0.007364074233919382,
0.018939338624477386,
0.08802860230207443,
0.09429048746824265,
-0.0473891943693161,
-0.027891196310520172,
0.0492439866065979,
0.114504873752594,
0.01768292672932148,
0.0070593953132629395,
-0.02730627916753292,
-0.039295829832553864,
-0.029532594606280327,
-0.004387340974062681,
-0.11140695214271545,
-0.023329857736825943,
-0.017497019842267036,
-0.015254504978656769,
-0.002676894422620535,
0.04418962821364403,
0.09639976918697357,
0.04256361350417137,
0.01655448041856289,
0.00046268405276350677,
0.02555854246020317,
0.0023148397449404
] | null | null | null | null | null | null | null |
[
-0.052164170891046524,
-0.018068557605147362,
0.027897518128156662,
-0.045178260654211044,
0.005729924887418747,
-0.05958394706249237,
0.01369946077466011,
0.0034422341268509626,
0.016694089397788048,
-0.06227811798453331,
-0.04663732647895813,
0.04749632626771927,
0.02365872636437416,
-0.045111700892448425,
-0.03227147087454796,
0.03014741837978363,
-0.09581267833709717,
0.02442609705030918,
-0.021183842793107033,
0.06066811829805374,
-0.04517567902803421,
0.07213947921991348,
0.003559235716238618,
0.07724355906248093,
-0.048024605959653854,
-0.041823554784059525,
-0.021383879706263542,
0.02090407907962799,
-0.02574945241212845,
-0.06126140058040619,
0.08936808258295059,
-0.07135488837957382,
-0.12700356543064117,
0.018531497567892075,
0.012594920583069324,
-0.04525451362133026,
-0.013889909721910954,
0.03310765326023102,
-0.049288153648376465,
0.011184058152139187,
0.004876548890024424,
0.059664368629455566,
-0.010211529210209846,
0.06974876672029495,
0.10826347768306732,
-0.08265255391597748,
-0.08633140474557877,
-0.05861939117312431,
0.019403789192438126,
0.026040544733405113,
-0.069247767329216,
0.0054130577482283115,
-0.02700858935713768,
0.06705977022647858,
0.033600881695747375,
-0.0337657555937767,
0.01746644824743271,
0.03581984341144562,
-0.025717193260788918,
-0.06591056287288666,
0.11583104729652405,
-0.023672407492995262,
0.022126179188489914,
-0.03475969284772873,
0.07471149414777756,
0.02261224016547203,
0.05429379269480705,
0.01389656774699688,
-0.04369310662150383,
0.09653599560260773,
-0.005282251629978418,
0.007293647155165672,
-0.045189712196588516,
-0.021538259461522102,
0.029587412253022194,
-0.008461501449346542,
0.039726339280605316,
0.09061089903116226,
0.003905354766175151,
0.04955093935132027,
0.030479252338409424,
0.014850909821689129,
0.007474081125110388,
-0.07039891928434372,
-0.10231371968984604,
-0.053614042699337006,
0.038314346224069595,
-0.003667621873319149,
0.09879732877016068,
0.020465295761823654,
-0.03470031917095184,
0.13077183067798615,
0.04223125800490379,
0.005736420396715403,
0.023992886766791344,
0.029094906523823738,
0.07088157534599304,
-0.0872993916273117,
0.07746396958827972,
-0.01015391107648611,
-0.045473694801330566,
-0.07850980013608932,
0.06686922907829285,
0.0478084534406662,
0.10387960076332092,
-0.0732031911611557,
-0.01709671877324581,
0.026566479355096817,
-0.05507996305823326,
0.09399084001779556,
0.061541371047496796,
-0.015822768211364746,
0.05100017413496971,
0.11618214100599289,
0.01086078304797411,
0.03639180585741997,
-0.02721419744193554,
-0.0040834201499819756,
0.006543033756315708,
-0.016898490488529205,
0.026226254180073738,
-0.05829710513353348,
-0.05054769292473793,
0.01883208379149437,
-0.012287309393286705,
-0.016248276457190514,
-0.010516943410038948,
3.636729269717127e-34,
0.008184131234884262,
-0.07840961962938309,
0.05804568901658058,
0.10919161140918732,
-0.0586334727704525,
-0.07815464586019516,
0.02878335677087307,
-0.06582368165254593,
-0.07930079847574234,
0.010413619689643383,
-0.03472232446074486,
-0.013215647079050541,
-0.05424484238028526,
-0.02072969079017639,
0.02165386639535427,
-0.03352513909339905,
0.015461446717381477,
0.06301181763410568,
-0.009822774678468704,
-0.08646930009126663,
-0.01571260392665863,
-0.05187235400080681,
-0.039273928850889206,
-0.07069462537765503,
-0.00802427064627409,
0.034654341638088226,
-0.04405483976006508,
0.028657270595431328,
-0.0028598050121217966,
0.040500707924366,
-0.0407184474170208,
0.023176126182079315,
0.009975931607186794,
0.047668080776929855,
0.04249805584549904,
0.03166019544005394,
-0.04162400960922241,
-0.040802001953125,
0.09010013937950134,
0.08701992779970169,
-0.09772395342588425,
0.00795613694936037,
0.07328692078590393,
-0.04571827873587608,
0.07493213564157486,
-0.0843873918056488,
0.06312936544418335,
0.014260813593864441,
-0.10010121762752533,
-0.0066713071428239346,
-0.06924363970756531,
-0.051521316170692444,
-0.0028286112938076258,
0.04218469187617302,
0.0014248060761019588,
-0.04694269597530365,
-0.00548867043107748,
0.022382749244570732,
-0.1514531672000885,
0.02195657603442669,
0.05908622592687607,
-0.06550094485282898,
0.003736473387107253,
-0.03371160849928856,
0.023549934849143028,
-0.0073731024749577045,
-0.04288458824157715,
-0.07394732534885406,
0.03343787416815758,
0.03014657087624073,
0.06006789579987526,
-0.04375782608985901,
0.019698601216077805,
-0.06157749891281128,
0.01297648437321186,
-0.02728162333369255,
0.05875080078840256,
0.06002547964453697,
-0.05142746865749359,
0.03665858134627342,
-0.01794285513460636,
-0.05492742359638214,
-0.1640448123216629,
0.022582272067666054,
-0.010144833475351334,
-0.021400852128863335,
0.06674116849899292,
-0.014629744924604893,
-0.10767126828432083,
-0.006382061634212732,
-0.01452588103711605,
-0.015619704499840736,
0.03989041969180107,
0.020980900153517723,
0.02378910966217518,
-2.6395167287897825e-33,
0.067679762840271,
-0.04983651638031006,
0.017956901341676712,
0.01623096689581871,
-0.008731270208954811,
0.041224971413612366,
-0.038172099739313126,
0.0662013590335846,
-0.020569026470184326,
-0.05848914012312889,
0.0318717360496521,
0.041709426790475845,
-0.027287622913718224,
-0.0016050019767135382,
-0.0012999747414141893,
-0.0989609882235527,
0.09171535074710846,
0.002078498713672161,
0.0240332018584013,
-0.012134338729083538,
0.004877306520938873,
-0.022797105833888054,
-0.04445234313607216,
-0.0003181360079906881,
-0.0364668071269989,
-0.018562130630016327,
-0.10856546461582184,
0.0602545365691185,
-0.022362759336829185,
0.04272100329399109,
-0.1038283258676529,
-0.02476421184837818,
0.010659686289727688,
0.10023609548807144,
-0.02945617400109768,
0.013568054884672165,
0.052334532141685486,
-0.03911636769771576,
0.09981907904148102,
-0.008386094123125076,
-0.028246842324733734,
0.012904266826808453,
-0.047456786036491394,
0.02840666100382805,
0.0833696499466896,
-0.004822891671210527,
0.06801823526620865,
0.08082134276628494,
0.0689917579293251,
0.00047805954818613827,
0.0007922353106550872,
0.030586358159780502,
0.0001344232732662931,
0.01991804875433445,
-0.04581597074866295,
0.0743061900138855,
-0.024982677772641182,
-0.026944156736135483,
-0.05200987309217453,
0.0267809946089983,
-0.07611174881458282,
-0.05537940561771393,
0.036136552691459656,
0.05026128143072128,
-0.01692168228328228,
0.0542416088283062,
-0.0541902631521225,
-0.04369140788912773,
0.04223129525780678,
0.03991842642426491,
0.02358155883848667,
0.04643313214182854,
0.054025016725063324,
-0.0024910641368478537,
0.0316629558801651,
-0.003058062167838216,
0.045756589621305466,
-0.030621469020843506,
0.040001824498176575,
-0.05280589684844017,
-0.04453939571976662,
0.07748452574014664,
0.014979613944888115,
-0.03427910804748535,
0.01821863278746605,
0.0012636870378628373,
-0.06874397397041321,
0.01866190880537033,
-0.062415897846221924,
-0.025463048368692398,
0.004025643691420555,
-0.06714510917663574,
0.016099918633699417,
-0.07292590290307999,
-0.0608062818646431,
-4.3555395734529156e-8,
0.04358429089188576,
0.029766401275992393,
0.03577226400375366,
-0.04487191140651703,
0.07250624150037766,
0.05778712406754494,
-0.022313730791211128,
-0.06180701032280922,
0.11268129199743271,
0.041313286870718,
0.0006753042107447982,
-0.00798115972429514,
0.04217113181948662,
-0.07482536882162094,
-0.07877355813980103,
0.08909116685390472,
-0.002797296503558755,
0.03682221472263336,
-0.05446106940507889,
-0.0057113817892968655,
-0.08709865063428879,
-0.04397883266210556,
-0.03963416814804077,
0.013820109888911247,
-0.0011322051286697388,
0.014754326082766056,
-0.0010438590543344617,
-0.037795234471559525,
0.003313214983791113,
0.050333421677351,
0.023030083626508713,
-0.059078749269247055,
0.03656332939863205,
0.09603619575500488,
-0.06151105836033821,
0.045107439160346985,
-0.0009919960284605622,
-0.047970205545425415,
0.007364074233919382,
0.018939338624477386,
0.08802860230207443,
0.09429048746824265,
-0.0473891943693161,
-0.027891196310520172,
0.0492439866065979,
0.114504873752594,
0.01768292672932148,
0.0070593953132629395,
-0.02730627916753292,
-0.039295829832553864,
-0.029532594606280327,
-0.004387340974062681,
-0.11140695214271545,
-0.023329857736825943,
-0.017497019842267036,
-0.015254504978656769,
-0.002676894422620535,
0.04418962821364403,
0.09639976918697357,
0.04256361350417137,
0.01655448041856289,
0.00046268405276350677,
0.02555854246020317,
0.0023148397449404
] |
1401.7922
|
Domiziano Mostacci
|
Vincenzo Molinari, Domiziano Mostacci
|
Dispersion Relation of Longitudinal Waves in Liquid He-4 in the
Framework of Quantum Macroscopic Equations derived from Bohm's Potential
|
17 pages 3 figures (embedded)
|
Physica A, 435 (2015) 28-35
|
10.1016/j.physa.2015.04.034
| null |
physics.gen-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
He-4 is known to become superfluid at very low temperatures. This effect is
now generally accepted to be connected with BEC (Bose-Einstein Condensation).
The dispersion relation of pressure waves in superfluid He-4 has been
determined at 1.1 {\deg}K by Yarnell et al., and exhibits a non monotonic
behavior - with a maximum and a minimum - usually explained in terms of
excitations called rotons, introduced by Landau. In the present work an attempt
is made to describe the phenomenon within the bohmian interpretation of QM. To
this end, the effects of the intermolecular potential, taken to be essentially
of the Lennard-Jones type modified to account for molecule finiteness, are
included as a Vlasov-type self-consistent field. A dispersion relation is
found, that is in quite good agreement with Yarnell's curve.
Keywords: Bohm potential; Intermolecular potential; Dispersion relation;
Superfluid He-4; First sound.
PACS: 05.30.Jp; 05.20.Dd; 03.75.Kk; 67.25.dt
|
[
{
"created": "Tue, 7 Jan 2014 15:47:18 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Mar 2014 13:02:33 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Aug 2014 16:17:26 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Aug 2014 12:47:34 GMT",
"version": "v4"
},
{
"created": "Wed, 13 Aug 2014 18:22:48 GMT",
"version": "v5"
},
{
"created": "Fri, 15 Aug 2014 08:45:38 GMT",
"version": "v6"
},
{
"created": "Mon, 18 Aug 2014 11:29:55 GMT",
"version": "v7"
},
{
"created": "Wed, 15 Apr 2015 20:04:01 GMT",
"version": "v8"
}
] |
2015-05-25
|
[
[
"Molinari",
"Vincenzo",
""
],
[
"Mostacci",
"Domiziano",
""
]
] |
[
-0.07934924215078354,
-0.045155659317970276,
-0.058730341494083405,
0.041787635535001755,
0.013446777127683163,
0.04939724877476692,
0.01923677884042263,
0.08662186563014984,
-0.014938286505639553,
-0.02140183374285698,
-0.029398195445537567,
-0.00477405684068799,
-0.03629215434193611,
0.08122998476028442,
-0.002650084439665079,
0.004603836219757795,
-0.017431750893592834,
-0.10413005948066711,
-0.08995366096496582,
0.0067748683504760265,
0.049103446304798126,
-0.011867696419358253,
-0.017921501770615578,
-0.013846118003129959,
-0.0319574736058712,
-0.030955875292420387,
0.052274566143751144,
0.013758950866758823,
0.015560558997094631,
0.014162534847855568,
0.06087232753634453,
0.07480285316705704,
0.012918072752654552,
0.013028706423938274,
0.021949252113699913,
0.04601728171110153,
0.024234145879745483,
0.03211735934019089,
0.009480682201683521,
-0.032385729253292084,
-0.021029982715845108,
0.03334425389766693,
-0.023922782391309738,
0.05238189548254013,
0.016797196120023727,
0.005978448782116175,
0.03617848455905914,
-0.024595249444246292,
-0.014831245876848698,
0.019425446167588234,
0.005509622395038605,
0.06394127011299133,
0.019912881776690483,
0.05964532494544983,
0.00861363485455513,
0.03271881863474846,
-0.09057509154081345,
-0.01288171112537384,
-0.006005808711051941,
-0.05047208443284035,
0.00031948680407367647,
0.0468168668448925,
0.017804838716983795,
0.015279274433851242,
0.05398276820778847,
-0.010286758653819561,
0.04044459015130997,
0.056303203105926514,
0.022313570603728294,
0.03098689764738083,
0.0583016537129879,
0.033676885068416595,
-0.0065688807517290115,
0.00384762161411345,
0.12886594235897064,
0.02681211195886135,
-0.022705085575580597,
-0.004550729412585497,
-0.0027551441453397274,
0.02045537531375885,
0.015391861088573933,
-0.09138041734695435,
-0.040956445038318634,
-0.07464718073606491,
-0.103093221783638,
0.04424900934100151,
0.056294385343790054,
-0.07709961384534836,
-0.04856818914413452,
0.0028181541711091995,
-0.0042703780345618725,
-0.08958352357149124,
-0.06483233720064163,
-0.06577882915735245,
0.010624134913086891,
0.033125266432762146,
0.03721413016319275,
0.0022695129737257957,
0.07950787991285324,
-0.023982364684343338,
-0.010712356306612492,
-0.07279330492019653,
-0.06709260493516922,
0.03843749314546585,
0.05745231732726097,
-0.028803691267967224,
0.08084181696176529,
0.09556866437196732,
-0.023831911385059357,
0.08719699829816818,
0.028947986662387848,
0.00079840247053653,
0.06917635351419449,
-0.06294992566108704,
-0.006391462404280901,
0.04681410640478134,
-0.07942768931388855,
0.057302262634038925,
-0.1197361871600151,
-0.004409871529787779,
0.012775352224707603,
0.10259339213371277,
0.01356676034629345,
0.06616716831922531,
-0.03209119662642479,
0.052286453545093536,
-0.07057590037584305,
2.2048721824434723e-33,
0.1257885843515396,
-0.020892871543765068,
0.05863647535443306,
0.01579425297677517,
0.02146664820611477,
-0.06776446849107742,
0.009626025334000587,
-0.011119197122752666,
-0.054342761635780334,
0.010354237630963326,
-0.04751778021454811,
0.06199873983860016,
0.09309686720371246,
-0.04015658050775528,
-0.09932344406843185,
-0.011851673945784569,
-0.1262652575969696,
-0.05052348971366882,
0.03167855739593506,
0.05739184841513634,
0.03074292093515396,
0.07274633646011353,
-0.018367035314440727,
-0.0004254283558111638,
0.03625315800309181,
-0.022142738103866577,
0.024779612198472023,
0.037725355476140976,
0.06866564601659775,
0.01507977768778801,
-0.03666926920413971,
0.019313761964440346,
-0.07541894912719727,
-0.04687264934182167,
0.02503282204270363,
0.0007743940223008394,
-0.10884372144937515,
0.027598010376095772,
-0.026652393862605095,
-0.011954177170991898,
0.04969871789216995,
-0.03440180793404579,
-0.04179630056023598,
0.023926548659801483,
0.01652691140770912,
-0.08326849341392517,
0.06471774727106094,
0.07184480875730515,
-0.018073851242661476,
-0.054319676011800766,
0.0034625122789293528,
-0.027610065415501595,
-0.007168508134782314,
0.008044758811593056,
0.07902553677558899,
-0.004120619967579842,
0.10628414154052734,
-0.013862824998795986,
0.01621062308549881,
-0.019718527793884277,
0.05203213170170784,
-0.0010760859586298466,
-0.036056939512491226,
0.04000585526227951,
0.05708765611052513,
-0.007245579734444618,
-0.04043209180235863,
-0.03136375918984413,
0.006217304617166519,
-0.008082231506705284,
0.0032098889350891113,
0.04783603176474571,
-0.005987289361655712,
-0.0645214393734932,
0.016860177740454674,
0.010607839561998844,
-0.05174221098423004,
-0.0289058368653059,
0.013473070226609707,
-0.008197045885026455,
-0.08291541039943695,
-0.0303464587777853,
0.0426291897892952,
0.039784740656614304,
-0.0769091323018074,
-0.023034613579511642,
-0.0013332738308236003,
-0.07645989954471588,
-0.03413420170545578,
0.011445344425737858,
-0.01625204272568226,
-0.026801034808158875,
0.06599452346563339,
-0.09976023435592651,
-0.032058339565992355,
-3.795788073556279e-33,
-0.0201102402061224,
0.001938187051564455,
-0.04852857440710068,
0.08502766489982605,
0.01731640100479126,
0.08494941145181656,
0.09535666555166245,
0.06357365846633911,
0.042029038071632385,
-0.1125628799200058,
0.13627833127975464,
0.04599819332361221,
0.042327046394348145,
0.022280385717749596,
-0.04337077587842941,
0.056220993399620056,
-0.04640998691320419,
-0.06319071352481842,
0.0629601702094078,
0.013948487117886543,
-0.036995839327573776,
0.007100010756403208,
0.01914350688457489,
0.027807096019387245,
-0.03715042024850845,
0.012042157351970673,
-0.0024955663830041885,
-0.05816398188471794,
-0.052541740238666534,
0.11187104135751724,
0.006912546698004007,
-0.0269972812384367,
-0.0007849634275771677,
0.02602885663509369,
-0.018836339935660362,
0.06181928142905235,
-0.011088434606790543,
-0.013853495009243488,
-0.050751298666000366,
-0.03525814414024353,
-0.06309756636619568,
0.056229498237371445,
0.05905825272202492,
-0.006098399870097637,
-0.0033632400445640087,
0.09939274936914444,
-0.033114057034254074,
0.007773529272526503,
0.07112390547990799,
0.010389238595962524,
-0.0732041671872139,
-0.028436897322535515,
-0.04965108260512352,
0.06152016669511795,
-0.02318526618182659,
-0.039643578231334686,
0.0028565346729010344,
0.00158731359988451,
0.04682069644331932,
-0.019704267382621765,
0.016470566391944885,
-0.1049894168972969,
0.07023061811923981,
-0.08051382750272751,
0.019244637340307236,
-0.06152112036943436,
-0.10309301316738129,
-0.03591534495353699,
0.011439979076385498,
-0.13930730521678925,
0.04365890473127365,
-0.07893230766057968,
0.03994094952940941,
0.04875127226114273,
-0.01494287047535181,
-0.0280716922134161,
0.03764994442462921,
-0.06600569188594818,
-0.04462706297636032,
0.008092296309769154,
-0.056869909167289734,
0.08119489252567291,
-0.049144357442855835,
-0.006107520777732134,
-0.0046242824755609035,
-0.061232149600982666,
0.004600621294230223,
-0.02263033576309681,
0.04588620364665985,
0.041930656880140305,
0.01323170680552721,
0.05631035938858986,
0.029059218242764473,
-0.03128770366311073,
0.0709393098950386,
-5.238821643160918e-8,
0.05357583239674568,
0.018769022077322006,
-0.011747961863875389,
0.004981496836990118,
0.006082137115299702,
0.03921801596879959,
-0.015878792852163315,
-0.005880553275346756,
0.04015681892633438,
0.020238202065229416,
0.024506520479917526,
0.05519501864910126,
-0.025479013100266457,
-0.08393377810716629,
0.07528626173734665,
-0.0652831643819809,
-0.0957680344581604,
-0.03399663046002388,
-0.038555316627025604,
-0.0983833521604538,
-0.0028980388306081295,
-0.011998393572866917,
-0.08538682758808136,
-0.06259650737047195,
0.0276752021163702,
-0.004415292292833328,
0.032326988875865936,
-0.13729721307754517,
-0.02135751023888588,
-0.0606720894575119,
-0.04752160981297493,
0.024256667122244835,
0.0593893863260746,
0.00241425191052258,
-0.07206949591636658,
0.02442244626581669,
-0.03788149729371071,
0.1461024433374405,
-0.008133336901664734,
0.07037793844938278,
0.04158737510442734,
0.03216619789600372,
-0.11514613032341003,
-0.009860594756901264,
-0.0328754261136055,
-0.006107498425990343,
-0.0005551490467041731,
0.07740651071071625,
-0.012384639121592045,
0.0944041907787323,
-0.05385693907737732,
0.09226679801940918,
0.03977997973561287,
-0.048113927245140076,
-0.032560091465711594,
0.01509579736739397,
-0.13721993565559387,
0.05284148454666138,
0.003256346331909299,
-0.059944797307252884,
0.01225788053125143,
0.0059537035413086414,
-0.0012238436611369252,
0.02375536970794201
] | null | null | null | null | null | null | null |
[
-0.07934924215078354,
-0.045155659317970276,
-0.058730341494083405,
0.041787635535001755,
0.013446777127683163,
0.04939724877476692,
0.01923677884042263,
0.08662186563014984,
-0.014938286505639553,
-0.02140183374285698,
-0.029398195445537567,
-0.00477405684068799,
-0.03629215434193611,
0.08122998476028442,
-0.002650084439665079,
0.004603836219757795,
-0.017431750893592834,
-0.10413005948066711,
-0.08995366096496582,
0.0067748683504760265,
0.049103446304798126,
-0.011867696419358253,
-0.017921501770615578,
-0.013846118003129959,
-0.0319574736058712,
-0.030955875292420387,
0.052274566143751144,
0.013758950866758823,
0.015560558997094631,
0.014162534847855568,
0.06087232753634453,
0.07480285316705704,
0.012918072752654552,
0.013028706423938274,
0.021949252113699913,
0.04601728171110153,
0.024234145879745483,
0.03211735934019089,
0.009480682201683521,
-0.032385729253292084,
-0.021029982715845108,
0.03334425389766693,
-0.023922782391309738,
0.05238189548254013,
0.016797196120023727,
0.005978448782116175,
0.03617848455905914,
-0.024595249444246292,
-0.014831245876848698,
0.019425446167588234,
0.005509622395038605,
0.06394127011299133,
0.019912881776690483,
0.05964532494544983,
0.00861363485455513,
0.03271881863474846,
-0.09057509154081345,
-0.01288171112537384,
-0.006005808711051941,
-0.05047208443284035,
0.00031948680407367647,
0.0468168668448925,
0.017804838716983795,
0.015279274433851242,
0.05398276820778847,
-0.010286758653819561,
0.04044459015130997,
0.056303203105926514,
0.022313570603728294,
0.03098689764738083,
0.0583016537129879,
0.033676885068416595,
-0.0065688807517290115,
0.00384762161411345,
0.12886594235897064,
0.02681211195886135,
-0.022705085575580597,
-0.004550729412585497,
-0.0027551441453397274,
0.02045537531375885,
0.015391861088573933,
-0.09138041734695435,
-0.040956445038318634,
-0.07464718073606491,
-0.103093221783638,
0.04424900934100151,
0.056294385343790054,
-0.07709961384534836,
-0.04856818914413452,
0.0028181541711091995,
-0.0042703780345618725,
-0.08958352357149124,
-0.06483233720064163,
-0.06577882915735245,
0.010624134913086891,
0.033125266432762146,
0.03721413016319275,
0.0022695129737257957,
0.07950787991285324,
-0.023982364684343338,
-0.010712356306612492,
-0.07279330492019653,
-0.06709260493516922,
0.03843749314546585,
0.05745231732726097,
-0.028803691267967224,
0.08084181696176529,
0.09556866437196732,
-0.023831911385059357,
0.08719699829816818,
0.028947986662387848,
0.00079840247053653,
0.06917635351419449,
-0.06294992566108704,
-0.006391462404280901,
0.04681410640478134,
-0.07942768931388855,
0.057302262634038925,
-0.1197361871600151,
-0.004409871529787779,
0.012775352224707603,
0.10259339213371277,
0.01356676034629345,
0.06616716831922531,
-0.03209119662642479,
0.052286453545093536,
-0.07057590037584305,
2.2048721824434723e-33,
0.1257885843515396,
-0.020892871543765068,
0.05863647535443306,
0.01579425297677517,
0.02146664820611477,
-0.06776446849107742,
0.009626025334000587,
-0.011119197122752666,
-0.054342761635780334,
0.010354237630963326,
-0.04751778021454811,
0.06199873983860016,
0.09309686720371246,
-0.04015658050775528,
-0.09932344406843185,
-0.011851673945784569,
-0.1262652575969696,
-0.05052348971366882,
0.03167855739593506,
0.05739184841513634,
0.03074292093515396,
0.07274633646011353,
-0.018367035314440727,
-0.0004254283558111638,
0.03625315800309181,
-0.022142738103866577,
0.024779612198472023,
0.037725355476140976,
0.06866564601659775,
0.01507977768778801,
-0.03666926920413971,
0.019313761964440346,
-0.07541894912719727,
-0.04687264934182167,
0.02503282204270363,
0.0007743940223008394,
-0.10884372144937515,
0.027598010376095772,
-0.026652393862605095,
-0.011954177170991898,
0.04969871789216995,
-0.03440180793404579,
-0.04179630056023598,
0.023926548659801483,
0.01652691140770912,
-0.08326849341392517,
0.06471774727106094,
0.07184480875730515,
-0.018073851242661476,
-0.054319676011800766,
0.0034625122789293528,
-0.027610065415501595,
-0.007168508134782314,
0.008044758811593056,
0.07902553677558899,
-0.004120619967579842,
0.10628414154052734,
-0.013862824998795986,
0.01621062308549881,
-0.019718527793884277,
0.05203213170170784,
-0.0010760859586298466,
-0.036056939512491226,
0.04000585526227951,
0.05708765611052513,
-0.007245579734444618,
-0.04043209180235863,
-0.03136375918984413,
0.006217304617166519,
-0.008082231506705284,
0.0032098889350891113,
0.04783603176474571,
-0.005987289361655712,
-0.0645214393734932,
0.016860177740454674,
0.010607839561998844,
-0.05174221098423004,
-0.0289058368653059,
0.013473070226609707,
-0.008197045885026455,
-0.08291541039943695,
-0.0303464587777853,
0.0426291897892952,
0.039784740656614304,
-0.0769091323018074,
-0.023034613579511642,
-0.0013332738308236003,
-0.07645989954471588,
-0.03413420170545578,
0.011445344425737858,
-0.01625204272568226,
-0.026801034808158875,
0.06599452346563339,
-0.09976023435592651,
-0.032058339565992355,
-3.795788073556279e-33,
-0.0201102402061224,
0.001938187051564455,
-0.04852857440710068,
0.08502766489982605,
0.01731640100479126,
0.08494941145181656,
0.09535666555166245,
0.06357365846633911,
0.042029038071632385,
-0.1125628799200058,
0.13627833127975464,
0.04599819332361221,
0.042327046394348145,
0.022280385717749596,
-0.04337077587842941,
0.056220993399620056,
-0.04640998691320419,
-0.06319071352481842,
0.0629601702094078,
0.013948487117886543,
-0.036995839327573776,
0.007100010756403208,
0.01914350688457489,
0.027807096019387245,
-0.03715042024850845,
0.012042157351970673,
-0.0024955663830041885,
-0.05816398188471794,
-0.052541740238666534,
0.11187104135751724,
0.006912546698004007,
-0.0269972812384367,
-0.0007849634275771677,
0.02602885663509369,
-0.018836339935660362,
0.06181928142905235,
-0.011088434606790543,
-0.013853495009243488,
-0.050751298666000366,
-0.03525814414024353,
-0.06309756636619568,
0.056229498237371445,
0.05905825272202492,
-0.006098399870097637,
-0.0033632400445640087,
0.09939274936914444,
-0.033114057034254074,
0.007773529272526503,
0.07112390547990799,
0.010389238595962524,
-0.0732041671872139,
-0.028436897322535515,
-0.04965108260512352,
0.06152016669511795,
-0.02318526618182659,
-0.039643578231334686,
0.0028565346729010344,
0.00158731359988451,
0.04682069644331932,
-0.019704267382621765,
0.016470566391944885,
-0.1049894168972969,
0.07023061811923981,
-0.08051382750272751,
0.019244637340307236,
-0.06152112036943436,
-0.10309301316738129,
-0.03591534495353699,
0.011439979076385498,
-0.13930730521678925,
0.04365890473127365,
-0.07893230766057968,
0.03994094952940941,
0.04875127226114273,
-0.01494287047535181,
-0.0280716922134161,
0.03764994442462921,
-0.06600569188594818,
-0.04462706297636032,
0.008092296309769154,
-0.056869909167289734,
0.08119489252567291,
-0.049144357442855835,
-0.006107520777732134,
-0.0046242824755609035,
-0.061232149600982666,
0.004600621294230223,
-0.02263033576309681,
0.04588620364665985,
0.041930656880140305,
0.01323170680552721,
0.05631035938858986,
0.029059218242764473,
-0.03128770366311073,
0.0709393098950386,
-5.238821643160918e-8,
0.05357583239674568,
0.018769022077322006,
-0.011747961863875389,
0.004981496836990118,
0.006082137115299702,
0.03921801596879959,
-0.015878792852163315,
-0.005880553275346756,
0.04015681892633438,
0.020238202065229416,
0.024506520479917526,
0.05519501864910126,
-0.025479013100266457,
-0.08393377810716629,
0.07528626173734665,
-0.0652831643819809,
-0.0957680344581604,
-0.03399663046002388,
-0.038555316627025604,
-0.0983833521604538,
-0.0028980388306081295,
-0.011998393572866917,
-0.08538682758808136,
-0.06259650737047195,
0.0276752021163702,
-0.004415292292833328,
0.032326988875865936,
-0.13729721307754517,
-0.02135751023888588,
-0.0606720894575119,
-0.04752160981297493,
0.024256667122244835,
0.0593893863260746,
0.00241425191052258,
-0.07206949591636658,
0.02442244626581669,
-0.03788149729371071,
0.1461024433374405,
-0.008133336901664734,
0.07037793844938278,
0.04158737510442734,
0.03216619789600372,
-0.11514613032341003,
-0.009860594756901264,
-0.0328754261136055,
-0.006107498425990343,
-0.0005551490467041731,
0.07740651071071625,
-0.012384639121592045,
0.0944041907787323,
-0.05385693907737732,
0.09226679801940918,
0.03977997973561287,
-0.048113927245140076,
-0.032560091465711594,
0.01509579736739397,
-0.13721993565559387,
0.05284148454666138,
0.003256346331909299,
-0.059944797307252884,
0.01225788053125143,
0.0059537035413086414,
-0.0012238436611369252,
0.02375536970794201
] |
1401.7923
|
Marc Lelarge
|
Marc Lelarge
|
Loopy annealing belief propagation for vertex cover and matching:
convergence, LP relaxation, correctness and Bethe approximation
|
revised version, 23 pages
| null | null | null |
cs.DM cs.DS cs.IT math-ph math.IT math.MP math.PR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the minimum cardinality vertex cover and maximum cardinality matching
problems, the max-product form of belief propagation (BP) is known to perform
poorly on general graphs. In this paper, we present an iterative loopy
annealing BP (LABP) algorithm which is shown to converge and to solve a Linear
Programming relaxation of the vertex cover or matching problem on general
graphs. LABP finds (asymptotically) a minimum half-integral vertex cover (hence
provides a 2-approximation) and a maximum fractional matching on any graph. We
also show that LABP finds (asymptotically) a minimum size vertex cover for any
bipartite graph and as a consequence compute the matching number of the graph.
Our proof relies on some subtle monotonicity arguments for the local iteration.
We also show that the Bethe free entropy is concave and that LABP maximizes it.
Using loop calculus, we also give an exact (also intractable for general
graphs) expression of the partition function for matching in term of the LABP
messages which can be used to improve mean-field approximations.
|
[
{
"created": "Thu, 30 Jan 2014 16:56:12 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2014 20:47:35 GMT",
"version": "v2"
}
] |
2014-07-09
|
[
[
"Lelarge",
"Marc",
""
]
] |
[
-0.027592886239290237,
0.05230415239930153,
0.0836629569530487,
-0.07488498836755753,
0.013880288228392601,
-0.04076845198869705,
0.018448499962687492,
0.016434835270047188,
-0.003791727824136615,
-0.0027816954534500837,
-0.14999595284461975,
-0.037364620715379715,
0.09354785829782486,
0.008905494585633278,
-0.009330232627689838,
0.14743837714195251,
0.07943175733089447,
0.040087487548589706,
0.026210937649011612,
0.0108691630885005,
-0.07954356074333191,
-0.03987599164247513,
-0.0559692420065403,
-0.0067720492370426655,
0.009162487462162971,
-0.046936094760894775,
0.03546302393078804,
-0.04923511669039726,
0.0013081461656838655,
0.02743278257548809,
-0.0678657814860344,
0.021206717938184738,
0.0471750907599926,
0.011454557068645954,
-0.003996961750090122,
-0.010944820940494537,
-0.07185883820056915,
-0.005071201361715794,
0.039347823709249496,
0.09483376145362854,
0.003417748026549816,
0.03986455500125885,
-0.018522115424275398,
0.021889951080083847,
-0.039809923619031906,
0.10994325578212738,
-0.029352618381381035,
0.09922628104686737,
-0.04000850394368172,
-0.03835274279117584,
-0.014119216240942478,
0.040711719542741776,
-0.07058200985193253,
-0.019564948976039886,
-0.03982387110590935,
-0.11087672412395477,
-0.01039819698780775,
-0.05381312966346741,
0.003178051672875881,
0.08654000610113144,
0.06894733011722565,
-0.04173737391829491,
-0.0393882617354393,
-0.0037588439881801605,
0.009154771454632282,
-0.02268444560468197,
0.03805888071656227,
0.012015307322144508,
0.00417757174000144,
0.04607517272233963,
0.03379468992352486,
0.0569106787443161,
-0.11199925094842911,
0.03244461491703987,
0.03681502491235733,
0.008073477074503899,
0.08411438018083572,
-0.05163205415010452,
0.0033880090340971947,
-0.020362915471196175,
-0.11841882020235062,
-0.008780255913734436,
0.06499514728784561,
-0.020279284566640854,
0.06937471032142639,
-0.05497089400887489,
-0.020923171192407608,
-0.006618543062359095,
0.08019757270812988,
0.004720037803053856,
-0.07961378246545792,
-0.054545968770980835,
-0.07542692869901657,
0.0021622213535010815,
0.0821743980050087,
0.009460204280912876,
0.0043077170848846436,
0.030978936702013016,
0.04266633093357086,
0.08473004400730133,
-0.043311383575201035,
0.03593824431300163,
0.07273510843515396,
-0.0670250803232193,
-0.01469863299280405,
0.009817319922149181,
-0.026381496340036392,
0.054280851036310196,
0.002384212100878358,
-0.11956487596035004,
0.03453617915511131,
0.013371247798204422,
0.040980543941259384,
0.06045759469270706,
-0.05222539231181145,
-0.01788727007806301,
0.06289099901914597,
0.01959322765469551,
-0.023968864232301712,
0.03596983850002289,
0.009819763712584972,
0.05517687648534775,
0.037808362394571304,
-0.01312919519841671,
-0.02306385338306427,
-0.0051758806221187115,
-0.00745337875559926,
3.947887124319098e-33,
0.010421744547784328,
0.07293394953012466,
0.0879264548420906,
-0.06979720294475555,
0.07105231285095215,
0.0432075597345829,
0.026196429505944252,
-0.059168968349695206,
-0.06020859256386757,
0.03154978156089783,
-0.02430683746933937,
0.03887232393026352,
0.026719456538558006,
-0.01746514067053795,
0.022282589226961136,
-0.05213480070233345,
0.01596948876976967,
0.013948493637144566,
-0.04212643578648567,
-0.08909967541694641,
0.03883136063814163,
-0.044914402067661285,
0.002252346370369196,
0.06876660883426666,
-0.00024137806030921638,
-0.02440464496612549,
0.005256987642496824,
0.03947407379746437,
0.05842173099517822,
-0.014107713475823402,
-0.11409866809844971,
0.0023346564266830683,
0.028592495247721672,
0.05941110849380493,
0.026594392955303192,
-0.027652539312839508,
0.04441678524017334,
-0.04370056465268135,
-0.015451189130544662,
-0.08830457925796509,
0.02504773810505867,
0.061139531433582306,
0.07505378872156143,
-0.07046415656805038,
-0.02939271554350853,
-0.050904471427202225,
-0.021744875237345695,
-0.011359183117747307,
-0.014584481716156006,
-0.038577619940042496,
0.0019234365317970514,
-0.05333178862929344,
-0.0675731971859932,
0.007232862524688244,
0.007451198063790798,
-0.009837113320827484,
0.06446090340614319,
0.0689711943268776,
0.04045230522751808,
0.13755546510219574,
-0.01459820568561554,
-0.0027371186297386885,
0.059317149221897125,
0.0007825188222341239,
-0.0366644486784935,
-0.00048102476284839213,
-0.011469296179711819,
-0.061251476407051086,
0.10999727249145508,
-0.03515000268816948,
0.013416937552392483,
0.06690491735935211,
-0.017969362437725067,
-0.06273039430379868,
0.0283957626670599,
-0.04594236984848976,
0.0021021943539381027,
-0.08207603543996811,
-0.04160722717642784,
-0.03333687409758568,
-0.05254078656435013,
-0.049439094960689545,
0.030336454510688782,
-0.059997305274009705,
-0.02385367453098297,
-0.08354771137237549,
-0.01687382534146309,
-0.008371379226446152,
-0.05864310637116432,
-0.056046612560749054,
-0.01947018876671791,
0.030289819464087486,
0.037783823907375336,
-0.0052978117018938065,
0.04535336792469025,
-3.0697112943342612e-33,
-0.02517841011285782,
-0.08675350993871689,
0.1751943826675415,
-0.019876083359122276,
-0.006078263744711876,
-0.10133857280015945,
0.02602175995707512,
-0.07926347851753235,
0.01861301064491272,
0.031094813719391823,
-0.004261321853846312,
0.019624194130301476,
0.03260931372642517,
-0.02088993787765503,
-0.094619981944561,
0.023653021082282066,
0.021854229271411896,
0.09551488608121872,
0.01707717403769493,
0.008158903568983078,
0.008862349204719067,
0.1270589828491211,
-0.0739581286907196,
0.04802524670958519,
0.044183630496263504,
0.03236284852027893,
-0.0034696385264396667,
0.03396350517868996,
0.05442981794476509,
0.018656281754374504,
-0.011643575504422188,
-0.026294942945241928,
-0.12459725141525269,
-0.01703890599310398,
-0.014447220601141453,
-0.011795304715633392,
0.03525481000542641,
0.09950724244117737,
0.01642780378460884,
0.03679317235946655,
0.00020667478383984417,
-0.0699985921382904,
-0.07507791370153427,
0.006647371221333742,
0.07856638729572296,
-0.014226837083697319,
-0.01128625962883234,
0.02642037533223629,
-0.05089906230568886,
-0.018487796187400818,
-0.061309609562158585,
-0.053917814046144485,
0.045610830187797546,
0.02523088827729225,
-0.013849902898073196,
-0.024613775312900543,
-0.09425149112939835,
0.11055808514356613,
-0.0006265768897719681,
-0.03338880091905594,
0.020780624821782112,
0.05923417583107948,
0.013160196132957935,
0.045941244810819626,
0.01075348723679781,
-0.01901104487478733,
0.02829640917479992,
0.0158365610986948,
-0.0373392291367054,
0.062436293810606,
-0.02520289458334446,
0.04599384590983391,
-0.07765476405620575,
0.04432642459869385,
0.07255751639604568,
0.039158664643764496,
0.05511225759983063,
0.07720120251178741,
0.006554161664098501,
0.06324299424886703,
-0.06090608239173889,
0.012382849119603634,
0.014759964309632778,
0.018371324986219406,
0.06875691562891006,
-0.06703249365091324,
0.045447684824466705,
0.00420356122776866,
0.018285609781742096,
-0.025538112968206406,
-0.05163165181875229,
0.017562255263328552,
0.0477227158844471,
0.003814416006207466,
-0.05657877027988434,
-5.1916142496111206e-8,
-0.04243152588605881,
-0.08766015619039536,
-0.03037145733833313,
-0.09403184056282043,
0.09909439086914062,
-0.03276635333895683,
0.0895143374800682,
0.02981490083038807,
-0.050104834139347076,
0.02969674952328205,
0.058178775012493134,
0.01554383710026741,
0.01588626019656658,
0.027397526428103447,
-0.00632246071472764,
0.0031001162715256214,
0.0002857855870388448,
-0.08380068838596344,
0.012691223993897438,
-0.042798932641744614,
-0.05890375003218651,
-0.021896230056881905,
0.04876845329999924,
0.01872958242893219,
0.028777986764907837,
-0.10897316038608551,
-0.0485227145254612,
0.030859922990202904,
-0.006128316279500723,
0.03292735293507576,
-0.06819038838148117,
-0.0104377968236804,
0.11627019941806793,
0.0002767940459307283,
0.06792037189006805,
0.03934922814369202,
-0.003962540999054909,
0.027812382206320763,
-0.06202256307005882,
-0.0035277579445391893,
0.051059648394584656,
0.05983840674161911,
0.022170672193169594,
-0.03126160800457001,
0.04946593940258026,
-0.021606789901852608,
0.0923241451382637,
0.040089692920446396,
0.009208203293383121,
-0.002910563023760915,
-0.00037066027289256454,
-0.007383023854345083,
0.018081586807966232,
-0.06317773461341858,
-0.03352584317326546,
0.10222285240888596,
-0.051538459956645966,
-0.046797528862953186,
0.1050093024969101,
-0.0004583067784551531,
-0.066379114985466,
0.0060918936505913734,
0.0013545244000852108,
-0.04107048362493515
] | null | null | null | null | null | null | null |
[
-0.027592886239290237,
0.05230415239930153,
0.0836629569530487,
-0.07488498836755753,
0.013880288228392601,
-0.04076845198869705,
0.018448499962687492,
0.016434835270047188,
-0.003791727824136615,
-0.0027816954534500837,
-0.14999595284461975,
-0.037364620715379715,
0.09354785829782486,
0.008905494585633278,
-0.009330232627689838,
0.14743837714195251,
0.07943175733089447,
0.040087487548589706,
0.026210937649011612,
0.0108691630885005,
-0.07954356074333191,
-0.03987599164247513,
-0.0559692420065403,
-0.0067720492370426655,
0.009162487462162971,
-0.046936094760894775,
0.03546302393078804,
-0.04923511669039726,
0.0013081461656838655,
0.02743278257548809,
-0.0678657814860344,
0.021206717938184738,
0.0471750907599926,
0.011454557068645954,
-0.003996961750090122,
-0.010944820940494537,
-0.07185883820056915,
-0.005071201361715794,
0.039347823709249496,
0.09483376145362854,
0.003417748026549816,
0.03986455500125885,
-0.018522115424275398,
0.021889951080083847,
-0.039809923619031906,
0.10994325578212738,
-0.029352618381381035,
0.09922628104686737,
-0.04000850394368172,
-0.03835274279117584,
-0.014119216240942478,
0.040711719542741776,
-0.07058200985193253,
-0.019564948976039886,
-0.03982387110590935,
-0.11087672412395477,
-0.01039819698780775,
-0.05381312966346741,
0.003178051672875881,
0.08654000610113144,
0.06894733011722565,
-0.04173737391829491,
-0.0393882617354393,
-0.0037588439881801605,
0.009154771454632282,
-0.02268444560468197,
0.03805888071656227,
0.012015307322144508,
0.00417757174000144,
0.04607517272233963,
0.03379468992352486,
0.0569106787443161,
-0.11199925094842911,
0.03244461491703987,
0.03681502491235733,
0.008073477074503899,
0.08411438018083572,
-0.05163205415010452,
0.0033880090340971947,
-0.020362915471196175,
-0.11841882020235062,
-0.008780255913734436,
0.06499514728784561,
-0.020279284566640854,
0.06937471032142639,
-0.05497089400887489,
-0.020923171192407608,
-0.006618543062359095,
0.08019757270812988,
0.004720037803053856,
-0.07961378246545792,
-0.054545968770980835,
-0.07542692869901657,
0.0021622213535010815,
0.0821743980050087,
0.009460204280912876,
0.0043077170848846436,
0.030978936702013016,
0.04266633093357086,
0.08473004400730133,
-0.043311383575201035,
0.03593824431300163,
0.07273510843515396,
-0.0670250803232193,
-0.01469863299280405,
0.009817319922149181,
-0.026381496340036392,
0.054280851036310196,
0.002384212100878358,
-0.11956487596035004,
0.03453617915511131,
0.013371247798204422,
0.040980543941259384,
0.06045759469270706,
-0.05222539231181145,
-0.01788727007806301,
0.06289099901914597,
0.01959322765469551,
-0.023968864232301712,
0.03596983850002289,
0.009819763712584972,
0.05517687648534775,
0.037808362394571304,
-0.01312919519841671,
-0.02306385338306427,
-0.0051758806221187115,
-0.00745337875559926,
3.947887124319098e-33,
0.010421744547784328,
0.07293394953012466,
0.0879264548420906,
-0.06979720294475555,
0.07105231285095215,
0.0432075597345829,
0.026196429505944252,
-0.059168968349695206,
-0.06020859256386757,
0.03154978156089783,
-0.02430683746933937,
0.03887232393026352,
0.026719456538558006,
-0.01746514067053795,
0.022282589226961136,
-0.05213480070233345,
0.01596948876976967,
0.013948493637144566,
-0.04212643578648567,
-0.08909967541694641,
0.03883136063814163,
-0.044914402067661285,
0.002252346370369196,
0.06876660883426666,
-0.00024137806030921638,
-0.02440464496612549,
0.005256987642496824,
0.03947407379746437,
0.05842173099517822,
-0.014107713475823402,
-0.11409866809844971,
0.0023346564266830683,
0.028592495247721672,
0.05941110849380493,
0.026594392955303192,
-0.027652539312839508,
0.04441678524017334,
-0.04370056465268135,
-0.015451189130544662,
-0.08830457925796509,
0.02504773810505867,
0.061139531433582306,
0.07505378872156143,
-0.07046415656805038,
-0.02939271554350853,
-0.050904471427202225,
-0.021744875237345695,
-0.011359183117747307,
-0.014584481716156006,
-0.038577619940042496,
0.0019234365317970514,
-0.05333178862929344,
-0.0675731971859932,
0.007232862524688244,
0.007451198063790798,
-0.009837113320827484,
0.06446090340614319,
0.0689711943268776,
0.04045230522751808,
0.13755546510219574,
-0.01459820568561554,
-0.0027371186297386885,
0.059317149221897125,
0.0007825188222341239,
-0.0366644486784935,
-0.00048102476284839213,
-0.011469296179711819,
-0.061251476407051086,
0.10999727249145508,
-0.03515000268816948,
0.013416937552392483,
0.06690491735935211,
-0.017969362437725067,
-0.06273039430379868,
0.0283957626670599,
-0.04594236984848976,
0.0021021943539381027,
-0.08207603543996811,
-0.04160722717642784,
-0.03333687409758568,
-0.05254078656435013,
-0.049439094960689545,
0.030336454510688782,
-0.059997305274009705,
-0.02385367453098297,
-0.08354771137237549,
-0.01687382534146309,
-0.008371379226446152,
-0.05864310637116432,
-0.056046612560749054,
-0.01947018876671791,
0.030289819464087486,
0.037783823907375336,
-0.0052978117018938065,
0.04535336792469025,
-3.0697112943342612e-33,
-0.02517841011285782,
-0.08675350993871689,
0.1751943826675415,
-0.019876083359122276,
-0.006078263744711876,
-0.10133857280015945,
0.02602175995707512,
-0.07926347851753235,
0.01861301064491272,
0.031094813719391823,
-0.004261321853846312,
0.019624194130301476,
0.03260931372642517,
-0.02088993787765503,
-0.094619981944561,
0.023653021082282066,
0.021854229271411896,
0.09551488608121872,
0.01707717403769493,
0.008158903568983078,
0.008862349204719067,
0.1270589828491211,
-0.0739581286907196,
0.04802524670958519,
0.044183630496263504,
0.03236284852027893,
-0.0034696385264396667,
0.03396350517868996,
0.05442981794476509,
0.018656281754374504,
-0.011643575504422188,
-0.026294942945241928,
-0.12459725141525269,
-0.01703890599310398,
-0.014447220601141453,
-0.011795304715633392,
0.03525481000542641,
0.09950724244117737,
0.01642780378460884,
0.03679317235946655,
0.00020667478383984417,
-0.0699985921382904,
-0.07507791370153427,
0.006647371221333742,
0.07856638729572296,
-0.014226837083697319,
-0.01128625962883234,
0.02642037533223629,
-0.05089906230568886,
-0.018487796187400818,
-0.061309609562158585,
-0.053917814046144485,
0.045610830187797546,
0.02523088827729225,
-0.013849902898073196,
-0.024613775312900543,
-0.09425149112939835,
0.11055808514356613,
-0.0006265768897719681,
-0.03338880091905594,
0.020780624821782112,
0.05923417583107948,
0.013160196132957935,
0.045941244810819626,
0.01075348723679781,
-0.01901104487478733,
0.02829640917479992,
0.0158365610986948,
-0.0373392291367054,
0.062436293810606,
-0.02520289458334446,
0.04599384590983391,
-0.07765476405620575,
0.04432642459869385,
0.07255751639604568,
0.039158664643764496,
0.05511225759983063,
0.07720120251178741,
0.006554161664098501,
0.06324299424886703,
-0.06090608239173889,
0.012382849119603634,
0.014759964309632778,
0.018371324986219406,
0.06875691562891006,
-0.06703249365091324,
0.045447684824466705,
0.00420356122776866,
0.018285609781742096,
-0.025538112968206406,
-0.05163165181875229,
0.017562255263328552,
0.0477227158844471,
0.003814416006207466,
-0.05657877027988434,
-5.1916142496111206e-8,
-0.04243152588605881,
-0.08766015619039536,
-0.03037145733833313,
-0.09403184056282043,
0.09909439086914062,
-0.03276635333895683,
0.0895143374800682,
0.02981490083038807,
-0.050104834139347076,
0.02969674952328205,
0.058178775012493134,
0.01554383710026741,
0.01588626019656658,
0.027397526428103447,
-0.00632246071472764,
0.0031001162715256214,
0.0002857855870388448,
-0.08380068838596344,
0.012691223993897438,
-0.042798932641744614,
-0.05890375003218651,
-0.021896230056881905,
0.04876845329999924,
0.01872958242893219,
0.028777986764907837,
-0.10897316038608551,
-0.0485227145254612,
0.030859922990202904,
-0.006128316279500723,
0.03292735293507576,
-0.06819038838148117,
-0.0104377968236804,
0.11627019941806793,
0.0002767940459307283,
0.06792037189006805,
0.03934922814369202,
-0.003962540999054909,
0.027812382206320763,
-0.06202256307005882,
-0.0035277579445391893,
0.051059648394584656,
0.05983840674161911,
0.022170672193169594,
-0.03126160800457001,
0.04946593940258026,
-0.021606789901852608,
0.0923241451382637,
0.040089692920446396,
0.009208203293383121,
-0.002910563023760915,
-0.00037066027289256454,
-0.007383023854345083,
0.018081586807966232,
-0.06317773461341858,
-0.03352584317326546,
0.10222285240888596,
-0.051538459956645966,
-0.046797528862953186,
0.1050093024969101,
-0.0004583067784551531,
-0.066379114985466,
0.0060918936505913734,
0.0013545244000852108,
-0.04107048362493515
] |
1401.7930
|
Eugene Loza
|
V.A. Kostygin, G.S. Stolyarenko, G.M. Kochetov, A.M. Tugay, V.N.
Vashchenko
|
Water softening by single-bowl ion exchange filter efficiency estimate
and improvement
|
14 pages, 5 figures
| null | null | null |
physics.chem-ph physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The article presents results of experimental investigations of the water
softener in a laboratory installation of uninterruptible countercurrent ion
exchange filter, which has a movable layer of ion exchange material. The
installation provides for two simultaneous processes: counter ion sorption and
regeneration of the sorbent with the processing capability of the sorbent in
the regeneration zone by ultrasonic radiation.
|
[
{
"created": "Thu, 30 Jan 2014 17:29:00 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Kostygin",
"V. A.",
""
],
[
"Stolyarenko",
"G. S.",
""
],
[
"Kochetov",
"G. M.",
""
],
[
"Tugay",
"A. M.",
""
],
[
"Vashchenko",
"V. N.",
""
]
] |
[
-0.0590825080871582,
-0.026689622551202774,
0.0015633172588422894,
-0.001043051714077592,
-0.036714281886816025,
-0.006522385403513908,
0.0857255682349205,
0.0023433573078364134,
-0.0667257308959961,
-0.02250383421778679,
0.043126579374074936,
-0.054128505289554596,
0.05302420258522034,
0.003170671407133341,
-0.04806084185838699,
-0.05033136159181595,
0.02539183385670185,
0.03326844051480293,
0.015816736966371536,
-0.07279102504253387,
0.05116850882768631,
-0.025073494762182236,
0.0314854197204113,
-0.0920221135020256,
0.024915268644690514,
0.09141591191291809,
-0.02075398899614811,
-0.03422539681196213,
0.02141120843589306,
-0.0834508091211319,
0.04315226525068283,
-0.07767484337091446,
-0.014070667326450348,
-0.09974484890699387,
0.02364949695765972,
0.05121958255767822,
-0.03269050642848015,
0.07656239718198776,
0.04628104344010353,
0.024453777819871902,
0.016566170379519463,
-0.0336761549115181,
-0.0089194867759943,
-0.07785452902317047,
0.021810799837112427,
0.014786763116717339,
-0.008083799853920937,
-0.058451633900403976,
-0.045788366347551346,
-0.011332104913890362,
0.09422072768211365,
0.06031346693634987,
-0.023833299055695534,
0.004033262841403484,
-0.06751731783151627,
0.06504099071025848,
-0.06291748583316803,
0.03538646176457405,
-0.0033952323719859123,
0.027872873470187187,
0.0628417581319809,
-0.02323037199676037,
0.039049480110406876,
0.02115672267973423,
0.023688020184636116,
-0.039512354880571365,
-0.028397440910339355,
0.04508369788527489,
0.047982700169086456,
-0.0786132737994194,
-0.022421585395932198,
-0.0174627136439085,
0.03986918926239014,
-0.07582104951143265,
-0.008878889493644238,
-0.03175812214612961,
-0.026621736586093903,
0.01893020235002041,
0.04327289015054703,
0.11444137990474701,
0.04484925791621208,
-0.056802552193403244,
0.01640525460243225,
-0.028449522331357002,
-0.0636146068572998,
0.02513382025063038,
-0.019660938531160355,
-0.12572363018989563,
0.010870332829654217,
-0.0008298357133753598,
0.024385470896959305,
0.04216284304857254,
0.11651933193206787,
0.03163975104689598,
0.05533524230122566,
0.05565105378627777,
0.00044834043364971876,
0.0565040223300457,
0.007787196896970272,
-0.001967518124729395,
0.017709655687212944,
0.03662143647670746,
-0.001176812220364809,
0.004315962083637714,
0.061945464462041855,
-0.10445850342512131,
-0.03985177353024483,
0.04176773503422737,
0.02162114530801773,
0.012661965563893318,
-0.05688745900988579,
-0.005515095312148333,
0.038291458040475845,
0.004459884483367205,
0.043012332171201706,
0.12490489333868027,
0.02908903919160366,
-0.06444210559129715,
-0.06785623729228973,
-0.09529633074998856,
0.024342458695173264,
-0.022527894005179405,
-0.0050271120853722095,
0.024468185380101204,
0.07353153824806213,
0.11184026300907135,
0.0753932073712349,
2.1614990122920223e-33,
-0.04263490065932274,
-0.0226912759244442,
0.00006916883285157382,
-0.10603412240743637,
-0.07816706597805023,
-0.05058182775974274,
0.010115302167832851,
0.05418773740530014,
-0.032255373895168304,
-0.021456336602568626,
0.005372863728553057,
0.05086393281817436,
-0.02248218096792698,
0.046179331839084625,
-0.03125302493572235,
-0.06820167601108551,
-0.004807005170732737,
0.005241852253675461,
0.014546776190400124,
-0.0034212544560432434,
-0.03286018222570419,
-0.009585130028426647,
0.00931059941649437,
0.0449100136756897,
0.05886666104197502,
0.011540037579834461,
0.013554404489696026,
-0.056422244757413864,
-0.014883676543831825,
-0.008566112257540226,
0.13229158520698547,
0.017058609053492546,
0.032330431044101715,
0.026855913922190666,
-0.08286713808774948,
-0.007391950115561485,
-0.07493437081575394,
0.05739579349756241,
0.07179626822471619,
-0.03225536271929741,
-0.04120805114507675,
0.017563791945576668,
-0.010381882078945637,
0.030954044312238693,
0.0512797087430954,
-0.08653057366609573,
-0.07559410482645035,
0.08081197738647461,
0.06150653958320618,
-0.058102864772081375,
0.025749986991286278,
0.03810196742415428,
-0.06599663197994232,
0.08051678538322449,
-0.006752518005669117,
0.013485493138432503,
0.021655308082699776,
0.059157151728868484,
-0.06651422381401062,
0.06465311348438263,
-0.03847446292638779,
0.05342858284711838,
0.046776480972766876,
0.07798083126544952,
0.04749318212270737,
0.0035328627564013004,
-0.0037019439041614532,
0.060650285333395004,
0.02723350189626217,
-0.06551329791545868,
-0.0539412759244442,
0.0351942740380764,
-0.0072802165523171425,
-0.029432881623506546,
-0.03732776641845703,
-0.0019451683619990945,
-0.021855849772691727,
0.01771659404039383,
-0.04496688395738602,
-0.06432048231363297,
-0.02342940866947174,
0.009470783174037933,
0.0342620424926281,
0.06554879248142242,
0.02800910174846649,
-0.02845619060099125,
-0.04758952185511589,
-0.0033363087568432093,
0.09263703227043152,
0.023156723007559776,
0.04681945592164993,
0.0023438616190105677,
0.020467868074774742,
-0.0180454533547163,
0.011315966956317425,
-2.6447096587555323e-33,
0.09451789408922195,
-0.006673813797533512,
-0.04858851805329323,
0.054678112268447876,
0.058994539082050323,
0.03771189972758293,
0.015117982402443886,
0.06271304935216904,
-0.02734583057463169,
0.08023571223020554,
-0.05554461106657982,
0.08326762914657593,
0.039093807339668274,
-0.011482574976980686,
-0.01612555980682373,
0.03809702768921852,
0.004045396577566862,
0.04160546511411667,
0.011063951067626476,
0.00962855014950037,
0.08464959263801575,
0.022825822234153748,
0.11334874480962753,
-0.07614865154027939,
-0.004053825046867132,
0.03267602622509003,
0.02400822378695011,
-0.11511397361755371,
0.07476639002561569,
0.015675386413931847,
-0.03141498938202858,
0.012904145754873753,
0.00011521828855620697,
-0.001992656383663416,
0.024093953892588615,
-0.07890409976243973,
0.008857167325913906,
0.009583350270986557,
-0.006365726236253977,
-0.0529530867934227,
0.014267712831497192,
-0.046310000121593475,
-0.06514357030391693,
0.02930874191224575,
-0.0141898263245821,
0.036464624106884,
0.003484813729301095,
-0.026906194165349007,
0.06540078669786453,
-0.07444021850824356,
0.012219980359077454,
-0.05383928865194321,
0.011551111936569214,
0.06823904067277908,
-0.03212548792362213,
0.06916862726211548,
0.11489010602235794,
0.029081955552101135,
-0.0852774828672409,
-0.013033649884164333,
0.014940209686756134,
0.015741994604468346,
0.053776077926158905,
-0.14494925737380981,
0.020609667524695396,
0.034028831869363785,
0.033019058406353,
0.042383573949337006,
-0.054554324597120285,
-0.18480493128299713,
0.0983181819319725,
-0.05891813337802887,
-0.017097163945436478,
-0.04847438633441925,
-0.005563984625041485,
0.008081268519163132,
-0.10270149260759354,
-0.08033359795808792,
-0.02874431386590004,
0.00675232196226716,
-0.0779191255569458,
0.07893327623605728,
0.018018215894699097,
-0.050295598804950714,
0.09684208035469055,
-0.11638925224542618,
-0.009701193310320377,
-0.01751917041838169,
0.014681573957204819,
0.05967174097895622,
0.007280672434717417,
-0.0552571602165699,
-0.03589614853262901,
-0.022645188495516777,
0.016414407640695572,
-3.850658458759426e-8,
-0.026025794446468353,
-0.03924062103033066,
-0.0016331153456121683,
0.0073694875463843346,
-0.04199479892849922,
0.05362986400723457,
0.0274263434112072,
0.041164133697748184,
-0.08863900601863861,
-0.0943133756518364,
-0.07598843425512314,
0.0181729793548584,
0.0062181889079511166,
0.06460773944854736,
0.05003121495246887,
-0.007771241944283247,
0.008697200566530228,
0.036476071923971176,
-0.05653951317071915,
-0.10423505306243896,
-0.035971544682979584,
-0.049846798181533813,
0.0170811228454113,
-0.012331770732998848,
-0.04840550199151039,
0.011155424639582634,
0.039357107132673264,
-0.004040942527353764,
0.013180584646761417,
-0.08046230673789978,
-0.01229033526033163,
-0.03909197449684143,
0.03771277889609337,
0.022961387410759926,
0.060712773352861404,
0.008231242187321186,
-0.005358790047466755,
-0.05339445173740387,
-0.0430075004696846,
-0.05451691523194313,
-0.09835208207368851,
-0.06577195972204208,
0.018772922456264496,
0.032063137739896774,
-0.013557837344706059,
-0.023548604920506477,
-0.06749846041202545,
-0.06372048705816269,
0.016795098781585693,
0.1188470795750618,
-0.020981986075639725,
-0.07117293775081635,
0.05387655645608902,
-0.05936264991760254,
-0.033115509897470474,
0.07788848131895065,
-0.031192298978567123,
-0.07497189193964005,
-0.0021096104755997658,
0.06490137428045273,
0.0430418960750103,
0.025640515610575676,
-0.016990594565868378,
-0.061161089688539505
] | null | null | null | null | null | null | null |
[
-0.0590825080871582,
-0.026689622551202774,
0.0015633172588422894,
-0.001043051714077592,
-0.036714281886816025,
-0.006522385403513908,
0.0857255682349205,
0.0023433573078364134,
-0.0667257308959961,
-0.02250383421778679,
0.043126579374074936,
-0.054128505289554596,
0.05302420258522034,
0.003170671407133341,
-0.04806084185838699,
-0.05033136159181595,
0.02539183385670185,
0.03326844051480293,
0.015816736966371536,
-0.07279102504253387,
0.05116850882768631,
-0.025073494762182236,
0.0314854197204113,
-0.0920221135020256,
0.024915268644690514,
0.09141591191291809,
-0.02075398899614811,
-0.03422539681196213,
0.02141120843589306,
-0.0834508091211319,
0.04315226525068283,
-0.07767484337091446,
-0.014070667326450348,
-0.09974484890699387,
0.02364949695765972,
0.05121958255767822,
-0.03269050642848015,
0.07656239718198776,
0.04628104344010353,
0.024453777819871902,
0.016566170379519463,
-0.0336761549115181,
-0.0089194867759943,
-0.07785452902317047,
0.021810799837112427,
0.014786763116717339,
-0.008083799853920937,
-0.058451633900403976,
-0.045788366347551346,
-0.011332104913890362,
0.09422072768211365,
0.06031346693634987,
-0.023833299055695534,
0.004033262841403484,
-0.06751731783151627,
0.06504099071025848,
-0.06291748583316803,
0.03538646176457405,
-0.0033952323719859123,
0.027872873470187187,
0.0628417581319809,
-0.02323037199676037,
0.039049480110406876,
0.02115672267973423,
0.023688020184636116,
-0.039512354880571365,
-0.028397440910339355,
0.04508369788527489,
0.047982700169086456,
-0.0786132737994194,
-0.022421585395932198,
-0.0174627136439085,
0.03986918926239014,
-0.07582104951143265,
-0.008878889493644238,
-0.03175812214612961,
-0.026621736586093903,
0.01893020235002041,
0.04327289015054703,
0.11444137990474701,
0.04484925791621208,
-0.056802552193403244,
0.01640525460243225,
-0.028449522331357002,
-0.0636146068572998,
0.02513382025063038,
-0.019660938531160355,
-0.12572363018989563,
0.010870332829654217,
-0.0008298357133753598,
0.024385470896959305,
0.04216284304857254,
0.11651933193206787,
0.03163975104689598,
0.05533524230122566,
0.05565105378627777,
0.00044834043364971876,
0.0565040223300457,
0.007787196896970272,
-0.001967518124729395,
0.017709655687212944,
0.03662143647670746,
-0.001176812220364809,
0.004315962083637714,
0.061945464462041855,
-0.10445850342512131,
-0.03985177353024483,
0.04176773503422737,
0.02162114530801773,
0.012661965563893318,
-0.05688745900988579,
-0.005515095312148333,
0.038291458040475845,
0.004459884483367205,
0.043012332171201706,
0.12490489333868027,
0.02908903919160366,
-0.06444210559129715,
-0.06785623729228973,
-0.09529633074998856,
0.024342458695173264,
-0.022527894005179405,
-0.0050271120853722095,
0.024468185380101204,
0.07353153824806213,
0.11184026300907135,
0.0753932073712349,
2.1614990122920223e-33,
-0.04263490065932274,
-0.0226912759244442,
0.00006916883285157382,
-0.10603412240743637,
-0.07816706597805023,
-0.05058182775974274,
0.010115302167832851,
0.05418773740530014,
-0.032255373895168304,
-0.021456336602568626,
0.005372863728553057,
0.05086393281817436,
-0.02248218096792698,
0.046179331839084625,
-0.03125302493572235,
-0.06820167601108551,
-0.004807005170732737,
0.005241852253675461,
0.014546776190400124,
-0.0034212544560432434,
-0.03286018222570419,
-0.009585130028426647,
0.00931059941649437,
0.0449100136756897,
0.05886666104197502,
0.011540037579834461,
0.013554404489696026,
-0.056422244757413864,
-0.014883676543831825,
-0.008566112257540226,
0.13229158520698547,
0.017058609053492546,
0.032330431044101715,
0.026855913922190666,
-0.08286713808774948,
-0.007391950115561485,
-0.07493437081575394,
0.05739579349756241,
0.07179626822471619,
-0.03225536271929741,
-0.04120805114507675,
0.017563791945576668,
-0.010381882078945637,
0.030954044312238693,
0.0512797087430954,
-0.08653057366609573,
-0.07559410482645035,
0.08081197738647461,
0.06150653958320618,
-0.058102864772081375,
0.025749986991286278,
0.03810196742415428,
-0.06599663197994232,
0.08051678538322449,
-0.006752518005669117,
0.013485493138432503,
0.021655308082699776,
0.059157151728868484,
-0.06651422381401062,
0.06465311348438263,
-0.03847446292638779,
0.05342858284711838,
0.046776480972766876,
0.07798083126544952,
0.04749318212270737,
0.0035328627564013004,
-0.0037019439041614532,
0.060650285333395004,
0.02723350189626217,
-0.06551329791545868,
-0.0539412759244442,
0.0351942740380764,
-0.0072802165523171425,
-0.029432881623506546,
-0.03732776641845703,
-0.0019451683619990945,
-0.021855849772691727,
0.01771659404039383,
-0.04496688395738602,
-0.06432048231363297,
-0.02342940866947174,
0.009470783174037933,
0.0342620424926281,
0.06554879248142242,
0.02800910174846649,
-0.02845619060099125,
-0.04758952185511589,
-0.0033363087568432093,
0.09263703227043152,
0.023156723007559776,
0.04681945592164993,
0.0023438616190105677,
0.020467868074774742,
-0.0180454533547163,
0.011315966956317425,
-2.6447096587555323e-33,
0.09451789408922195,
-0.006673813797533512,
-0.04858851805329323,
0.054678112268447876,
0.058994539082050323,
0.03771189972758293,
0.015117982402443886,
0.06271304935216904,
-0.02734583057463169,
0.08023571223020554,
-0.05554461106657982,
0.08326762914657593,
0.039093807339668274,
-0.011482574976980686,
-0.01612555980682373,
0.03809702768921852,
0.004045396577566862,
0.04160546511411667,
0.011063951067626476,
0.00962855014950037,
0.08464959263801575,
0.022825822234153748,
0.11334874480962753,
-0.07614865154027939,
-0.004053825046867132,
0.03267602622509003,
0.02400822378695011,
-0.11511397361755371,
0.07476639002561569,
0.015675386413931847,
-0.03141498938202858,
0.012904145754873753,
0.00011521828855620697,
-0.001992656383663416,
0.024093953892588615,
-0.07890409976243973,
0.008857167325913906,
0.009583350270986557,
-0.006365726236253977,
-0.0529530867934227,
0.014267712831497192,
-0.046310000121593475,
-0.06514357030391693,
0.02930874191224575,
-0.0141898263245821,
0.036464624106884,
0.003484813729301095,
-0.026906194165349007,
0.06540078669786453,
-0.07444021850824356,
0.012219980359077454,
-0.05383928865194321,
0.011551111936569214,
0.06823904067277908,
-0.03212548792362213,
0.06916862726211548,
0.11489010602235794,
0.029081955552101135,
-0.0852774828672409,
-0.013033649884164333,
0.014940209686756134,
0.015741994604468346,
0.053776077926158905,
-0.14494925737380981,
0.020609667524695396,
0.034028831869363785,
0.033019058406353,
0.042383573949337006,
-0.054554324597120285,
-0.18480493128299713,
0.0983181819319725,
-0.05891813337802887,
-0.017097163945436478,
-0.04847438633441925,
-0.005563984625041485,
0.008081268519163132,
-0.10270149260759354,
-0.08033359795808792,
-0.02874431386590004,
0.00675232196226716,
-0.0779191255569458,
0.07893327623605728,
0.018018215894699097,
-0.050295598804950714,
0.09684208035469055,
-0.11638925224542618,
-0.009701193310320377,
-0.01751917041838169,
0.014681573957204819,
0.05967174097895622,
0.007280672434717417,
-0.0552571602165699,
-0.03589614853262901,
-0.022645188495516777,
0.016414407640695572,
-3.850658458759426e-8,
-0.026025794446468353,
-0.03924062103033066,
-0.0016331153456121683,
0.0073694875463843346,
-0.04199479892849922,
0.05362986400723457,
0.0274263434112072,
0.041164133697748184,
-0.08863900601863861,
-0.0943133756518364,
-0.07598843425512314,
0.0181729793548584,
0.0062181889079511166,
0.06460773944854736,
0.05003121495246887,
-0.007771241944283247,
0.008697200566530228,
0.036476071923971176,
-0.05653951317071915,
-0.10423505306243896,
-0.035971544682979584,
-0.049846798181533813,
0.0170811228454113,
-0.012331770732998848,
-0.04840550199151039,
0.011155424639582634,
0.039357107132673264,
-0.004040942527353764,
0.013180584646761417,
-0.08046230673789978,
-0.01229033526033163,
-0.03909197449684143,
0.03771277889609337,
0.022961387410759926,
0.060712773352861404,
0.008231242187321186,
-0.005358790047466755,
-0.05339445173740387,
-0.0430075004696846,
-0.05451691523194313,
-0.09835208207368851,
-0.06577195972204208,
0.018772922456264496,
0.032063137739896774,
-0.013557837344706059,
-0.023548604920506477,
-0.06749846041202545,
-0.06372048705816269,
0.016795098781585693,
0.1188470795750618,
-0.020981986075639725,
-0.07117293775081635,
0.05387655645608902,
-0.05936264991760254,
-0.033115509897470474,
0.07788848131895065,
-0.031192298978567123,
-0.07497189193964005,
-0.0021096104755997658,
0.06490137428045273,
0.0430418960750103,
0.025640515610575676,
-0.016990594565868378,
-0.061161089688539505
] |
1401.7933
|
Andres Santos
|
Nagi Khalil, Vicente Garz\'o, and Andr\'es Santos
|
Hydrodynamic Burnett equations for inelastic Maxwell models of granular
gases
|
16 pages, 5 figures; v2: new Appendix (D) and new references added
|
Phys. Rev. E 89, 052201 (2014)
|
10.1103/PhysRevE.89.052201
| null |
cond-mat.soft cond-mat.stat-mech physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The hydrodynamic Burnett equations and the associated transport coefficients
are exactly evaluated for generalized inelastic Maxwell models. In those
models, the one-particle distribution function obeys the inelastic Boltzmann
equation, with a velocity-independent collision rate proportional to the
$\gamma$ power of the temperature. The pressure tensor and the heat flux are
obtained to second order in the spatial gradients of the hydrodynamic fields
with explicit expressions for all the Burnett transport coefficients as
functions of $\gamma$, the coefficient of normal restitution, and the
dimensionality of the system. Some transport coefficients that are related in a
simple way in the elastic limit become decoupled in the inelastic case. As a
byproduct, existing results in the literature for three-dimensional elastic
systems are recovered, and a generalization to any dimension of the system is
given. The structure of the present results is used to estimate the Burnett
coefficients for inelastic hard spheres.
|
[
{
"created": "Thu, 30 Jan 2014 17:48:45 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 07:30:41 GMT",
"version": "v2"
}
] |
2014-05-07
|
[
[
"Khalil",
"Nagi",
""
],
[
"Garzó",
"Vicente",
""
],
[
"Santos",
"Andrés",
""
]
] |
[
0.014987703412771225,
-0.07927412539720535,
0.040931060910224915,
0.051922693848609924,
0.07398586720228195,
-0.012116956524550915,
0.006013055332005024,
0.034741055220365524,
0.05697798728942871,
-0.03636070340871811,
-0.05538039654493332,
-0.07268249243497849,
-0.0031782560981810093,
0.05026814714074135,
-0.024725057184696198,
-0.07843324542045593,
-0.09564628452062607,
0.029588522389531136,
-0.15327943861484528,
0.06093817949295044,
-0.04482416436076164,
0.10896723717451096,
-0.06430954486131668,
0.04326963052153587,
0.022082243114709854,
-0.06041456386446953,
0.02354549802839756,
0.01887546107172966,
-0.06348071247339249,
-0.005224938970059156,
-0.02074984274804592,
-0.12545445561408997,
-0.08200149238109589,
0.05308525636792183,
0.06931339204311371,
0.027038075029850006,
-0.02103440836071968,
-0.028142977505922318,
-0.07123256474733353,
0.04874872788786888,
-0.040678855031728745,
0.005373056977987289,
0.019638655707240105,
0.003493639174848795,
0.08907432109117508,
-0.008321939967572689,
0.03435744345188141,
0.020308764651417732,
0.015754353255033493,
-0.008993764407932758,
-0.003742651315405965,
-0.03552907332777977,
-0.011232171207666397,
0.05562116205692291,
0.015909118577837944,
-0.0342581644654274,
0.007690039463341236,
-0.02385084144771099,
0.023617414757609367,
-0.03860732167959213,
0.01864277385175228,
0.028564389795064926,
0.003980228677392006,
0.022325117141008377,
0.05644916743040085,
-0.05019889771938324,
-0.015555346384644508,
0.07610969245433807,
-0.0030199496541172266,
0.04527020826935768,
-0.06594083458185196,
0.010905727744102478,
-0.1250857710838318,
-0.030677316710352898,
0.029955634847283363,
-0.03868389502167702,
-0.014519566670060158,
0.0909552276134491,
0.011997215449810028,
0.006102987565100193,
-0.05468309298157692,
-0.09422900527715683,
-0.07615338265895844,
-0.08217969536781311,
-0.05773761868476868,
0.04845814406871796,
-0.02282002381980419,
0.09770974516868591,
0.011895817704498768,
0.02716241590678692,
-0.040026161819696426,
-0.028446698561310768,
-0.022975115105509758,
-0.022246628999710083,
0.043195940554142,
0.026353729888796806,
-0.01892564631998539,
0.020718760788440704,
0.1306711733341217,
-0.008345256559550762,
-0.10217630118131638,
-0.10530677437782288,
0.04102323576807976,
0.09234528243541718,
0.06275876611471176,
0.002064199186861515,
0.10968732833862305,
0.01136678084731102,
0.05654464662075043,
0.06524596363306046,
0.0469125360250473,
-0.018336383625864983,
0.024954352527856827,
0.03860892727971077,
-0.06314869970083237,
-0.018629444763064384,
-0.029001500457525253,
0.022561324760317802,
0.03568541258573532,
0.024343648925423622,
0.011127219535410404,
0.02110207825899124,
-0.02337455004453659,
0.052764806896448135,
-0.05690108239650726,
0.04210256040096283,
0.010710988193750381,
-3.904650605385931e-34,
-0.02345936745405197,
-0.006299594882875681,
-0.03712201118469238,
0.05978614091873169,
-0.0013885898515582085,
0.027474405243992805,
0.01210522186011076,
0.03336223587393761,
-0.003864708123728633,
-0.02503104880452156,
-0.07430412620306015,
0.0998600646853447,
-0.03193878009915352,
-0.03396482393145561,
-0.06171102821826935,
0.023658277466893196,
0.007619719486683607,
-0.0020764239598065615,
0.0050283619202673435,
0.08761525899171829,
0.026681851595640182,
0.026186982169747353,
0.015008743852376938,
-0.005894934292882681,
-0.013579679653048515,
-0.03932986781001091,
-0.052823539823293686,
-0.06732551753520966,
0.010287085548043251,
0.032653313130140305,
0.04043247923254967,
-0.04857875406742096,
-0.07992628961801529,
0.005308018997311592,
-0.012938685715198517,
-0.015090713277459145,
0.0476926788687706,
0.011281538754701614,
-0.027128173038363457,
0.007338142953813076,
-0.0005830537411384284,
-0.05487635359168053,
-0.032145317643880844,
0.06616522371768951,
-0.07056117802858353,
0.06433993577957153,
0.07190483808517456,
-0.031164007261395454,
-0.002161350566893816,
-0.04789920523762703,
0.008868197910487652,
0.03644828125834465,
0.040491025894880295,
-0.058868408203125,
0.06217256560921669,
-0.04058573395013809,
0.02838076837360859,
0.03806612640619278,
-0.0191335491836071,
0.0010024809744209051,
0.0004930800059810281,
0.05983772873878479,
0.1508905291557312,
-0.039791617542505264,
0.1148756742477417,
-0.042124949395656586,
0.00935250986367464,
0.08175721019506454,
0.01375509612262249,
-0.1170860156416893,
0.002017348539084196,
-0.021795812994241714,
0.0349976010620594,
0.010620157234370708,
-0.04181458428502083,
0.005994502920657396,
0.03734435886144638,
-0.05206354334950447,
0.047785431146621704,
-0.0064315483905375,
-0.06699828803539276,
0.005683183204382658,
0.03880554810166359,
-0.017862113192677498,
-0.047990649938583374,
-0.01228445116430521,
0.010663443244993687,
-0.01817450113594532,
-0.060321662575006485,
-0.03274276480078697,
-0.04024611786007881,
0.0038782020565122366,
0.005250091664493084,
-0.033731307834386826,
0.053173091262578964,
-3.144625181970181e-33,
0.01692068763077259,
0.03896631672978401,
-0.07448350638151169,
0.013557661324739456,
-0.011409583501517773,
0.07954450696706772,
-0.03892483934760094,
0.07363127171993256,
-0.03383984789252281,
-0.14382070302963257,
0.029139475896954536,
-0.047111522406339645,
-0.016613313928246498,
-0.01864703558385372,
0.06238699331879616,
-0.03964638337492943,
-0.028056612238287926,
-0.03157482296228409,
-0.04874632507562637,
-0.0323796384036541,
-0.05702739953994751,
0.0032179488334804773,
0.016171753406524658,
0.010030400939285755,
-0.10206978768110275,
-0.0069395615719258785,
-0.007057785522192717,
-0.080628901720047,
-0.09648603945970535,
0.06417793780565262,
-0.011661452241241932,
0.014130248688161373,
-0.025595787912607193,
0.043366625905036926,
-0.03964153304696083,
0.0375354140996933,
0.040429044514894485,
0.054680656641721725,
0.047481469810009,
-0.018439700827002525,
-0.027816548943519592,
0.021034633740782738,
0.032757531851530075,
-0.014801748096942902,
0.007499711588025093,
0.062158096581697464,
0.07665366679430008,
-0.042888592928647995,
0.10638581216335297,
-0.007211105432361364,
-0.00603666203096509,
-0.06781408935785294,
0.022822028025984764,
0.09975738078355789,
-0.023501217365264893,
0.013743978925049305,
0.0005920265684835613,
0.0026058682706207037,
0.03134710714221001,
-0.0806758776307106,
-0.07895420491695404,
-0.06522785127162933,
0.11639896035194397,
0.017780527472496033,
-0.07313107699155807,
-0.009182899259030819,
-0.17498192191123962,
-0.06418710201978683,
-0.021854527294635773,
-0.04134087264537811,
-0.03602110221982002,
-0.06210858002305031,
0.03493352606892586,
0.0708635151386261,
0.019554156810045242,
-0.00754521181806922,
0.09004437178373337,
-0.022499939426779747,
-0.04170893505215645,
-0.00487692654132843,
-0.09031424671411514,
0.14082910120487213,
-0.018553363159298897,
0.01849338971078396,
0.09311314672231674,
-0.09740471094846725,
0.02456314116716385,
-0.019529404118657112,
-0.023465218022465706,
-0.010599865578114986,
0.02053435519337654,
0.014449259266257286,
0.0889255702495575,
0.005491048563271761,
-0.0663704201579094,
-5.197376040655399e-8,
0.01678856648504734,
-0.016297897323966026,
-0.011587332002818584,
-0.02915843576192856,
-0.0046411193907260895,
0.11266171187162399,
-0.09173638373613358,
0.06644807010889053,
0.03596556559205055,
-0.00035365880466997623,
-0.01030146423727274,
-0.020327206701040268,
0.0134098120033741,
0.03406842425465584,
-0.041075967252254486,
-0.00021560855384450406,
0.013033381663262844,
0.008662618696689606,
0.0321870818734169,
-0.06852984428405762,
0.019787341356277466,
0.029061369597911835,
0.018911514431238174,
0.05524277687072754,
0.024776941165328026,
0.042381223291158676,
-0.0708957090973854,
-0.12273156642913818,
0.053386885672807693,
0.0007727826596237719,
-0.040372394025325775,
0.03045596368610859,
0.0003907041682396084,
0.017540860921144485,
-0.07118383795022964,
0.025691891089081764,
0.019387811422348022,
0.10367287695407867,
-0.054119646549224854,
0.0076845381408929825,
0.022620514035224915,
-0.025556763634085655,
0.024338845163583755,
-0.04953618347644806,
0.059576671570539474,
0.060494471341371536,
-0.08407485485076904,
0.09217937290668488,
-0.031645555049180984,
0.07269720733165741,
-0.049797989428043365,
0.045820202678442,
0.03786555677652359,
0.06111520156264305,
-0.0024254475720226765,
0.0017870571464300156,
-0.05649667978286743,
0.0032219761051237583,
0.005376256536692381,
-0.03439026325941086,
-0.024641433730721474,
0.02181524597108364,
-0.05801339074969292,
-0.022125476971268654
] | null | null | null | null | null | null | null |
[
0.014987703412771225,
-0.07927412539720535,
0.040931060910224915,
0.051922693848609924,
0.07398586720228195,
-0.012116956524550915,
0.006013055332005024,
0.034741055220365524,
0.05697798728942871,
-0.03636070340871811,
-0.05538039654493332,
-0.07268249243497849,
-0.0031782560981810093,
0.05026814714074135,
-0.024725057184696198,
-0.07843324542045593,
-0.09564628452062607,
0.029588522389531136,
-0.15327943861484528,
0.06093817949295044,
-0.04482416436076164,
0.10896723717451096,
-0.06430954486131668,
0.04326963052153587,
0.022082243114709854,
-0.06041456386446953,
0.02354549802839756,
0.01887546107172966,
-0.06348071247339249,
-0.005224938970059156,
-0.02074984274804592,
-0.12545445561408997,
-0.08200149238109589,
0.05308525636792183,
0.06931339204311371,
0.027038075029850006,
-0.02103440836071968,
-0.028142977505922318,
-0.07123256474733353,
0.04874872788786888,
-0.040678855031728745,
0.005373056977987289,
0.019638655707240105,
0.003493639174848795,
0.08907432109117508,
-0.008321939967572689,
0.03435744345188141,
0.020308764651417732,
0.015754353255033493,
-0.008993764407932758,
-0.003742651315405965,
-0.03552907332777977,
-0.011232171207666397,
0.05562116205692291,
0.015909118577837944,
-0.0342581644654274,
0.007690039463341236,
-0.02385084144771099,
0.023617414757609367,
-0.03860732167959213,
0.01864277385175228,
0.028564389795064926,
0.003980228677392006,
0.022325117141008377,
0.05644916743040085,
-0.05019889771938324,
-0.015555346384644508,
0.07610969245433807,
-0.0030199496541172266,
0.04527020826935768,
-0.06594083458185196,
0.010905727744102478,
-0.1250857710838318,
-0.030677316710352898,
0.029955634847283363,
-0.03868389502167702,
-0.014519566670060158,
0.0909552276134491,
0.011997215449810028,
0.006102987565100193,
-0.05468309298157692,
-0.09422900527715683,
-0.07615338265895844,
-0.08217969536781311,
-0.05773761868476868,
0.04845814406871796,
-0.02282002381980419,
0.09770974516868591,
0.011895817704498768,
0.02716241590678692,
-0.040026161819696426,
-0.028446698561310768,
-0.022975115105509758,
-0.022246628999710083,
0.043195940554142,
0.026353729888796806,
-0.01892564631998539,
0.020718760788440704,
0.1306711733341217,
-0.008345256559550762,
-0.10217630118131638,
-0.10530677437782288,
0.04102323576807976,
0.09234528243541718,
0.06275876611471176,
0.002064199186861515,
0.10968732833862305,
0.01136678084731102,
0.05654464662075043,
0.06524596363306046,
0.0469125360250473,
-0.018336383625864983,
0.024954352527856827,
0.03860892727971077,
-0.06314869970083237,
-0.018629444763064384,
-0.029001500457525253,
0.022561324760317802,
0.03568541258573532,
0.024343648925423622,
0.011127219535410404,
0.02110207825899124,
-0.02337455004453659,
0.052764806896448135,
-0.05690108239650726,
0.04210256040096283,
0.010710988193750381,
-3.904650605385931e-34,
-0.02345936745405197,
-0.006299594882875681,
-0.03712201118469238,
0.05978614091873169,
-0.0013885898515582085,
0.027474405243992805,
0.01210522186011076,
0.03336223587393761,
-0.003864708123728633,
-0.02503104880452156,
-0.07430412620306015,
0.0998600646853447,
-0.03193878009915352,
-0.03396482393145561,
-0.06171102821826935,
0.023658277466893196,
0.007619719486683607,
-0.0020764239598065615,
0.0050283619202673435,
0.08761525899171829,
0.026681851595640182,
0.026186982169747353,
0.015008743852376938,
-0.005894934292882681,
-0.013579679653048515,
-0.03932986781001091,
-0.052823539823293686,
-0.06732551753520966,
0.010287085548043251,
0.032653313130140305,
0.04043247923254967,
-0.04857875406742096,
-0.07992628961801529,
0.005308018997311592,
-0.012938685715198517,
-0.015090713277459145,
0.0476926788687706,
0.011281538754701614,
-0.027128173038363457,
0.007338142953813076,
-0.0005830537411384284,
-0.05487635359168053,
-0.032145317643880844,
0.06616522371768951,
-0.07056117802858353,
0.06433993577957153,
0.07190483808517456,
-0.031164007261395454,
-0.002161350566893816,
-0.04789920523762703,
0.008868197910487652,
0.03644828125834465,
0.040491025894880295,
-0.058868408203125,
0.06217256560921669,
-0.04058573395013809,
0.02838076837360859,
0.03806612640619278,
-0.0191335491836071,
0.0010024809744209051,
0.0004930800059810281,
0.05983772873878479,
0.1508905291557312,
-0.039791617542505264,
0.1148756742477417,
-0.042124949395656586,
0.00935250986367464,
0.08175721019506454,
0.01375509612262249,
-0.1170860156416893,
0.002017348539084196,
-0.021795812994241714,
0.0349976010620594,
0.010620157234370708,
-0.04181458428502083,
0.005994502920657396,
0.03734435886144638,
-0.05206354334950447,
0.047785431146621704,
-0.0064315483905375,
-0.06699828803539276,
0.005683183204382658,
0.03880554810166359,
-0.017862113192677498,
-0.047990649938583374,
-0.01228445116430521,
0.010663443244993687,
-0.01817450113594532,
-0.060321662575006485,
-0.03274276480078697,
-0.04024611786007881,
0.0038782020565122366,
0.005250091664493084,
-0.033731307834386826,
0.053173091262578964,
-3.144625181970181e-33,
0.01692068763077259,
0.03896631672978401,
-0.07448350638151169,
0.013557661324739456,
-0.011409583501517773,
0.07954450696706772,
-0.03892483934760094,
0.07363127171993256,
-0.03383984789252281,
-0.14382070302963257,
0.029139475896954536,
-0.047111522406339645,
-0.016613313928246498,
-0.01864703558385372,
0.06238699331879616,
-0.03964638337492943,
-0.028056612238287926,
-0.03157482296228409,
-0.04874632507562637,
-0.0323796384036541,
-0.05702739953994751,
0.0032179488334804773,
0.016171753406524658,
0.010030400939285755,
-0.10206978768110275,
-0.0069395615719258785,
-0.007057785522192717,
-0.080628901720047,
-0.09648603945970535,
0.06417793780565262,
-0.011661452241241932,
0.014130248688161373,
-0.025595787912607193,
0.043366625905036926,
-0.03964153304696083,
0.0375354140996933,
0.040429044514894485,
0.054680656641721725,
0.047481469810009,
-0.018439700827002525,
-0.027816548943519592,
0.021034633740782738,
0.032757531851530075,
-0.014801748096942902,
0.007499711588025093,
0.062158096581697464,
0.07665366679430008,
-0.042888592928647995,
0.10638581216335297,
-0.007211105432361364,
-0.00603666203096509,
-0.06781408935785294,
0.022822028025984764,
0.09975738078355789,
-0.023501217365264893,
0.013743978925049305,
0.0005920265684835613,
0.0026058682706207037,
0.03134710714221001,
-0.0806758776307106,
-0.07895420491695404,
-0.06522785127162933,
0.11639896035194397,
0.017780527472496033,
-0.07313107699155807,
-0.009182899259030819,
-0.17498192191123962,
-0.06418710201978683,
-0.021854527294635773,
-0.04134087264537811,
-0.03602110221982002,
-0.06210858002305031,
0.03493352606892586,
0.0708635151386261,
0.019554156810045242,
-0.00754521181806922,
0.09004437178373337,
-0.022499939426779747,
-0.04170893505215645,
-0.00487692654132843,
-0.09031424671411514,
0.14082910120487213,
-0.018553363159298897,
0.01849338971078396,
0.09311314672231674,
-0.09740471094846725,
0.02456314116716385,
-0.019529404118657112,
-0.023465218022465706,
-0.010599865578114986,
0.02053435519337654,
0.014449259266257286,
0.0889255702495575,
0.005491048563271761,
-0.0663704201579094,
-5.197376040655399e-8,
0.01678856648504734,
-0.016297897323966026,
-0.011587332002818584,
-0.02915843576192856,
-0.0046411193907260895,
0.11266171187162399,
-0.09173638373613358,
0.06644807010889053,
0.03596556559205055,
-0.00035365880466997623,
-0.01030146423727274,
-0.020327206701040268,
0.0134098120033741,
0.03406842425465584,
-0.041075967252254486,
-0.00021560855384450406,
0.013033381663262844,
0.008662618696689606,
0.0321870818734169,
-0.06852984428405762,
0.019787341356277466,
0.029061369597911835,
0.018911514431238174,
0.05524277687072754,
0.024776941165328026,
0.042381223291158676,
-0.0708957090973854,
-0.12273156642913818,
0.053386885672807693,
0.0007727826596237719,
-0.040372394025325775,
0.03045596368610859,
0.0003907041682396084,
0.017540860921144485,
-0.07118383795022964,
0.025691891089081764,
0.019387811422348022,
0.10367287695407867,
-0.054119646549224854,
0.0076845381408929825,
0.022620514035224915,
-0.025556763634085655,
0.024338845163583755,
-0.04953618347644806,
0.059576671570539474,
0.060494471341371536,
-0.08407485485076904,
0.09217937290668488,
-0.031645555049180984,
0.07269720733165741,
-0.049797989428043365,
0.045820202678442,
0.03786555677652359,
0.06111520156264305,
-0.0024254475720226765,
0.0017870571464300156,
-0.05649667978286743,
0.0032219761051237583,
0.005376256536692381,
-0.03439026325941086,
-0.024641433730721474,
0.02181524597108364,
-0.05801339074969292,
-0.022125476971268654
] |
1401.7941
|
Stefano Albrecht
|
Stefano V. Albrecht, Subramanian Ramamoorthy
|
Exploiting Causality for Selective Belief Filtering in Dynamic Bayesian
Networks
|
44 pages; final manuscript published in Journal of Artificial
Intelligence Research (JAIR)
| null |
10.1613/jair.5044
| null |
cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Dynamic Bayesian networks (DBNs) are a general model for stochastic processes
with partially observed states. Belief filtering in DBNs is the task of
inferring the belief state (i.e. the probability distribution over process
states) based on incomplete and noisy observations. This can be a hard problem
in complex processes with large state spaces. In this article, we explore the
idea of accelerating the filtering task by automatically exploiting causality
in the process. We consider a specific type of causal relation, called
passivity, which pertains to how state variables cause changes in other
variables. We present the Passivity-based Selective Belief Filtering (PSBF)
method, which maintains a factored belief representation and exploits passivity
to perform selective updates over the belief factors. PSBF produces exact
belief states under certain assumptions and approximate belief states
otherwise, where the approximation error is bounded by the degree of
uncertainty in the process. We show empirically, in synthetic processes with
varying sizes and degrees of passivity, that PSBF is faster than several
alternative methods while achieving competitive accuracy. Furthermore, we
demonstrate how passivity occurs naturally in a complex system such as a
multi-robot warehouse, and how PSBF can exploit this to accelerate the
filtering task.
|
[
{
"created": "Thu, 30 Jan 2014 18:05:48 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2015 14:54:34 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Apr 2016 17:51:09 GMT",
"version": "v3"
}
] |
2016-04-26
|
[
[
"Albrecht",
"Stefano V.",
""
],
[
"Ramamoorthy",
"Subramanian",
""
]
] |
[
-0.0037524199578911066,
-0.13198502361774445,
0.05552792549133301,
-0.0027731996960937977,
0.0626053661108017,
-0.040300384163856506,
0.06694918125867844,
-0.061991043388843536,
0.02123614214360714,
0.006965102627873421,
-0.11032556742429733,
0.019523315131664276,
0.08827424049377441,
-0.006268318742513657,
-0.05240500345826149,
0.019935185089707375,
0.10916290432214737,
0.07201943546533585,
-0.055416129529476166,
-0.06855153292417526,
-0.08757691830396652,
-0.057251498103141785,
-0.060802582651376724,
0.013620669022202492,
-0.04352305829524994,
0.032855138182640076,
0.09566819667816162,
-0.016083667054772377,
-0.032094188034534454,
-0.007858693599700928,
-0.011161880567669868,
-0.03683372586965561,
-0.03128933906555176,
-0.0801529809832573,
-0.060922130942344666,
0.0225557591766119,
-0.029041001573204994,
-0.0003693677135743201,
-0.04361389949917793,
-0.023147709667682648,
0.07505465298891068,
0.05693480744957924,
-0.003966225311160088,
0.09136530756950378,
0.01575087569653988,
0.0956040620803833,
-0.002263990929350257,
-0.010579767636954784,
0.06884240359067917,
-0.059460464864969254,
-0.0960070788860321,
0.03733748197555542,
0.027790477499365807,
-0.003334807464852929,
-0.02027495950460434,
-0.015848275274038315,
0.031066251918673515,
0.012001978233456612,
0.005462267901748419,
-0.014811261557042599,
-0.045147091150283813,
-0.04450788348913193,
0.01434857677668333,
-0.052172742784023285,
0.005011604167521,
0.11331739276647568,
-0.04882737249135971,
0.08940035849809647,
-0.0030689160339534283,
0.049629997462034225,
-0.04963438957929611,
0.15117309987545013,
-0.10936213284730911,
-0.0040550390258431435,
-0.0021366255823522806,
-0.04150236025452614,
0.01595480553805828,
-0.052154045552015305,
0.007881087251007557,
0.006354953162372112,
-0.009599975310266018,
0.015238243155181408,
-0.030691126361489296,
-0.05590428411960602,
0.09083116799592972,
-0.020480282604694366,
-0.00029027077835053205,
0.0324755422770977,
0.0873439833521843,
0.06399372220039368,
0.008678770624101162,
-0.06160065904259682,
-0.019236745312809944,
-0.034696903079748154,
-0.020327500998973846,
0.03782239556312561,
-0.0013200945686548948,
-0.029945649206638336,
0.05194704234600067,
0.05236697196960449,
-0.014942002482712269,
0.02368038520216942,
0.04331075772643089,
-0.04230461269617081,
0.0015847005415707827,
-0.03275756910443306,
-0.025718385353684425,
0.07135166972875595,
0.026995977386832237,
-0.024159826338291168,
-0.09277066588401794,
-0.017818571999669075,
-0.008880764245986938,
-0.02505108155310154,
-0.05385517328977585,
0.056593164801597595,
0.08866874128580093,
-0.02962600439786911,
-0.06370778381824493,
0.01560548972338438,
0.028930695727467537,
0.029365699738264084,
0.03893699124455452,
0.02397199347615242,
0.07894718647003174,
-0.016345897689461708,
-0.03533941134810448,
-8.144477812874491e-34,
-0.00616019032895565,
-0.024133456870913506,
0.07109487056732178,
-0.019043760374188423,
-0.042891975492239,
0.017155911773443222,
-0.04454127326607704,
-0.035304002463817596,
0.04146681725978851,
0.0023301588371396065,
-0.05243400111794472,
0.022656112909317017,
-0.07553043961524963,
-0.033986613154411316,
0.13347694277763367,
-0.030080877244472504,
-0.025802111253142357,
0.059483736753463745,
0.00017731080879457295,
-0.06088399514555931,
0.05607808008790016,
-0.05627968907356262,
-0.047531984746456146,
0.029434693977236748,
0.00851669441908598,
-0.010838470421731472,
0.08217069506645203,
0.08037374168634415,
-0.017014242708683014,
-0.012648259289562702,
-0.08844775706529617,
-0.03040946088731289,
-0.01827867142856121,
0.1477503925561905,
-0.04286595806479454,
-0.06865096837282181,
-0.04147392511367798,
-0.049317482858896255,
0.044946521520614624,
-0.05892549082636833,
0.008961438201367855,
-0.06223917752504349,
0.0033436687663197517,
0.012396945618093014,
-0.08465064316987991,
-0.07410727441310883,
-0.01789637841284275,
-0.02179708518087864,
-0.0454348549246788,
-0.024765729904174805,
0.06779899448156357,
0.007127659860998392,
0.07357485592365265,
-0.0609855055809021,
-0.06614326685667038,
-0.021185478195548058,
0.05175735056400299,
-0.021831706166267395,
0.03354230895638466,
-0.018712254241108894,
-0.0090583935379982,
0.03308289125561714,
-0.01658106967806816,
0.0691717341542244,
0.038892924785614014,
0.07863316684961319,
0.019061163067817688,
0.08263491839170456,
0.11192692071199417,
-0.037250082939863205,
-0.03869536146521568,
-0.00022245522995945066,
-0.005118364933878183,
-0.06482579559087753,
0.033024754375219345,
0.018533704802393913,
-0.056175559759140015,
0.013537600636482239,
0.017587775364518166,
0.030624674633145332,
-0.10753002017736435,
-0.057646892964839935,
-0.10768653452396393,
0.0891675129532814,
-0.007716055028140545,
0.0032549730967730284,
-0.032921336591243744,
-0.02018185518682003,
-0.12090972065925598,
-0.06999489665031433,
0.008701804094016552,
-0.020257415249943733,
0.0279656033962965,
0.00948118232190609,
0.003958936780691147,
-1.42619625545498e-33,
-0.04888857528567314,
-0.05394361540675163,
0.13676057755947113,
0.06081434711813927,
0.007612753659486771,
-0.04625865817070007,
-0.01635274477303028,
-0.02000223845243454,
0.0657513290643692,
-0.03285584598779678,
-0.11712553352117538,
-0.06196502223610878,
0.022166136652231216,
-0.022627050057053566,
0.006518303882330656,
0.04335973784327507,
-0.005038901697844267,
0.0762661024928093,
-0.03139897435903549,
-0.04744355008006096,
-0.04372920095920563,
0.0705680176615715,
-0.003870419692248106,
-0.042669691145420074,
-0.014501298777759075,
0.04443858563899994,
0.06709796190261841,
0.08609746396541595,
0.07495687901973724,
0.05336722731590271,
-0.1189514696598053,
0.011849058791995049,
-0.023303629830479622,
0.047910358756780624,
-0.0166554544121027,
0.05556904897093773,
0.029146479442715645,
0.07417386025190353,
-0.009421531111001968,
-0.025771884247660637,
0.02793491818010807,
-0.04633989930152893,
-0.08219050616025925,
0.006599301937967539,
0.01903478428721428,
-0.012280589900910854,
-0.04899148643016815,
0.03358707204461098,
0.018027471378445625,
0.01590142771601677,
-0.031494706869125366,
0.10605401545763016,
0.0028701608534902334,
0.06374960392713547,
-0.07324019074440002,
0.01996859535574913,
-0.03891173377633095,
-0.009386274963617325,
0.07995440810918808,
0.029759597033262253,
-0.046312492340803146,
-0.0226120725274086,
0.07554879784584045,
0.015730097889900208,
-0.040479548275470734,
0.03891783207654953,
0.06016242876648903,
-0.030436275526881218,
0.06288394331932068,
-0.008425695821642876,
0.04235469549894333,
0.07712268829345703,
-0.033300988376140594,
0.030105385929346085,
0.07200701534748077,
-0.02415614202618599,
0.0047850096598267555,
0.014060410670936108,
-0.003899294650182128,
0.05372713878750801,
0.031882453709840775,
-0.04244846850633621,
0.05359891057014465,
0.038099341094493866,
-0.015439537353813648,
-0.000029642631488968618,
0.0012505872873589396,
-0.03537851199507713,
0.08010847121477127,
-0.05987709388136864,
-0.028578566387295723,
0.019058069214224815,
-0.048209961503744125,
0.05485209450125694,
-0.14142300188541412,
-4.706673450982635e-8,
-0.014983507804572582,
0.006203822325915098,
0.04271821677684784,
-0.03426972031593323,
0.10441146045923233,
-0.016988079994916916,
-0.024262459948658943,
0.018593141809105873,
-0.04973718151450157,
-0.03360961750149727,
0.06313271820545197,
-0.04357533156871796,
-0.006424364168196917,
-0.03203478455543518,
0.030846543610095978,
-0.04746583476662636,
-0.0008107043686322868,
-0.014093692414462566,
-0.04332421347498894,
-0.008317668922245502,
0.054080765694379807,
-0.01266910508275032,
-0.028465822339057922,
0.02583007887005806,
0.0697149708867073,
-0.05197645723819733,
-0.10125190019607544,
0.05545927584171295,
0.08621891587972641,
0.017093993723392487,
0.0817205011844635,
0.006304372102022171,
-0.017395908012986183,
0.029552675783634186,
-0.01167513057589531,
0.038801949471235275,
0.05224800854921341,
-0.05369189381599426,
-0.05910682678222656,
-0.048756781965494156,
-0.045274123549461365,
0.026003923267126083,
-0.0416257418692112,
0.06863118708133698,
0.00819541048258543,
0.004355906508862972,
-0.02760063298046589,
-0.06409262865781784,
0.028340600430965424,
0.024339336901903152,
0.031024953350424767,
0.04362950474023819,
-0.0564996600151062,
0.050183553248643875,
0.026905810460448265,
0.07081346213817596,
0.05584318935871124,
-0.07971770316362381,
-0.05329852178692818,
0.005060448311269283,
0.03242198005318642,
0.015393327921628952,
-0.01725233905017376,
0.07683062553405762
] | null | null | null | null | null | null | null |
[
-0.0037524199578911066,
-0.13198502361774445,
0.05552792549133301,
-0.0027731996960937977,
0.0626053661108017,
-0.040300384163856506,
0.06694918125867844,
-0.061991043388843536,
0.02123614214360714,
0.006965102627873421,
-0.11032556742429733,
0.019523315131664276,
0.08827424049377441,
-0.006268318742513657,
-0.05240500345826149,
0.019935185089707375,
0.10916290432214737,
0.07201943546533585,
-0.055416129529476166,
-0.06855153292417526,
-0.08757691830396652,
-0.057251498103141785,
-0.060802582651376724,
0.013620669022202492,
-0.04352305829524994,
0.032855138182640076,
0.09566819667816162,
-0.016083667054772377,
-0.032094188034534454,
-0.007858693599700928,
-0.011161880567669868,
-0.03683372586965561,
-0.03128933906555176,
-0.0801529809832573,
-0.060922130942344666,
0.0225557591766119,
-0.029041001573204994,
-0.0003693677135743201,
-0.04361389949917793,
-0.023147709667682648,
0.07505465298891068,
0.05693480744957924,
-0.003966225311160088,
0.09136530756950378,
0.01575087569653988,
0.0956040620803833,
-0.002263990929350257,
-0.010579767636954784,
0.06884240359067917,
-0.059460464864969254,
-0.0960070788860321,
0.03733748197555542,
0.027790477499365807,
-0.003334807464852929,
-0.02027495950460434,
-0.015848275274038315,
0.031066251918673515,
0.012001978233456612,
0.005462267901748419,
-0.014811261557042599,
-0.045147091150283813,
-0.04450788348913193,
0.01434857677668333,
-0.052172742784023285,
0.005011604167521,
0.11331739276647568,
-0.04882737249135971,
0.08940035849809647,
-0.0030689160339534283,
0.049629997462034225,
-0.04963438957929611,
0.15117309987545013,
-0.10936213284730911,
-0.0040550390258431435,
-0.0021366255823522806,
-0.04150236025452614,
0.01595480553805828,
-0.052154045552015305,
0.007881087251007557,
0.006354953162372112,
-0.009599975310266018,
0.015238243155181408,
-0.030691126361489296,
-0.05590428411960602,
0.09083116799592972,
-0.020480282604694366,
-0.00029027077835053205,
0.0324755422770977,
0.0873439833521843,
0.06399372220039368,
0.008678770624101162,
-0.06160065904259682,
-0.019236745312809944,
-0.034696903079748154,
-0.020327500998973846,
0.03782239556312561,
-0.0013200945686548948,
-0.029945649206638336,
0.05194704234600067,
0.05236697196960449,
-0.014942002482712269,
0.02368038520216942,
0.04331075772643089,
-0.04230461269617081,
0.0015847005415707827,
-0.03275756910443306,
-0.025718385353684425,
0.07135166972875595,
0.026995977386832237,
-0.024159826338291168,
-0.09277066588401794,
-0.017818571999669075,
-0.008880764245986938,
-0.02505108155310154,
-0.05385517328977585,
0.056593164801597595,
0.08866874128580093,
-0.02962600439786911,
-0.06370778381824493,
0.01560548972338438,
0.028930695727467537,
0.029365699738264084,
0.03893699124455452,
0.02397199347615242,
0.07894718647003174,
-0.016345897689461708,
-0.03533941134810448,
-8.144477812874491e-34,
-0.00616019032895565,
-0.024133456870913506,
0.07109487056732178,
-0.019043760374188423,
-0.042891975492239,
0.017155911773443222,
-0.04454127326607704,
-0.035304002463817596,
0.04146681725978851,
0.0023301588371396065,
-0.05243400111794472,
0.022656112909317017,
-0.07553043961524963,
-0.033986613154411316,
0.13347694277763367,
-0.030080877244472504,
-0.025802111253142357,
0.059483736753463745,
0.00017731080879457295,
-0.06088399514555931,
0.05607808008790016,
-0.05627968907356262,
-0.047531984746456146,
0.029434693977236748,
0.00851669441908598,
-0.010838470421731472,
0.08217069506645203,
0.08037374168634415,
-0.017014242708683014,
-0.012648259289562702,
-0.08844775706529617,
-0.03040946088731289,
-0.01827867142856121,
0.1477503925561905,
-0.04286595806479454,
-0.06865096837282181,
-0.04147392511367798,
-0.049317482858896255,
0.044946521520614624,
-0.05892549082636833,
0.008961438201367855,
-0.06223917752504349,
0.0033436687663197517,
0.012396945618093014,
-0.08465064316987991,
-0.07410727441310883,
-0.01789637841284275,
-0.02179708518087864,
-0.0454348549246788,
-0.024765729904174805,
0.06779899448156357,
0.007127659860998392,
0.07357485592365265,
-0.0609855055809021,
-0.06614326685667038,
-0.021185478195548058,
0.05175735056400299,
-0.021831706166267395,
0.03354230895638466,
-0.018712254241108894,
-0.0090583935379982,
0.03308289125561714,
-0.01658106967806816,
0.0691717341542244,
0.038892924785614014,
0.07863316684961319,
0.019061163067817688,
0.08263491839170456,
0.11192692071199417,
-0.037250082939863205,
-0.03869536146521568,
-0.00022245522995945066,
-0.005118364933878183,
-0.06482579559087753,
0.033024754375219345,
0.018533704802393913,
-0.056175559759140015,
0.013537600636482239,
0.017587775364518166,
0.030624674633145332,
-0.10753002017736435,
-0.057646892964839935,
-0.10768653452396393,
0.0891675129532814,
-0.007716055028140545,
0.0032549730967730284,
-0.032921336591243744,
-0.02018185518682003,
-0.12090972065925598,
-0.06999489665031433,
0.008701804094016552,
-0.020257415249943733,
0.0279656033962965,
0.00948118232190609,
0.003958936780691147,
-1.42619625545498e-33,
-0.04888857528567314,
-0.05394361540675163,
0.13676057755947113,
0.06081434711813927,
0.007612753659486771,
-0.04625865817070007,
-0.01635274477303028,
-0.02000223845243454,
0.0657513290643692,
-0.03285584598779678,
-0.11712553352117538,
-0.06196502223610878,
0.022166136652231216,
-0.022627050057053566,
0.006518303882330656,
0.04335973784327507,
-0.005038901697844267,
0.0762661024928093,
-0.03139897435903549,
-0.04744355008006096,
-0.04372920095920563,
0.0705680176615715,
-0.003870419692248106,
-0.042669691145420074,
-0.014501298777759075,
0.04443858563899994,
0.06709796190261841,
0.08609746396541595,
0.07495687901973724,
0.05336722731590271,
-0.1189514696598053,
0.011849058791995049,
-0.023303629830479622,
0.047910358756780624,
-0.0166554544121027,
0.05556904897093773,
0.029146479442715645,
0.07417386025190353,
-0.009421531111001968,
-0.025771884247660637,
0.02793491818010807,
-0.04633989930152893,
-0.08219050616025925,
0.006599301937967539,
0.01903478428721428,
-0.012280589900910854,
-0.04899148643016815,
0.03358707204461098,
0.018027471378445625,
0.01590142771601677,
-0.031494706869125366,
0.10605401545763016,
0.0028701608534902334,
0.06374960392713547,
-0.07324019074440002,
0.01996859535574913,
-0.03891173377633095,
-0.009386274963617325,
0.07995440810918808,
0.029759597033262253,
-0.046312492340803146,
-0.0226120725274086,
0.07554879784584045,
0.015730097889900208,
-0.040479548275470734,
0.03891783207654953,
0.06016242876648903,
-0.030436275526881218,
0.06288394331932068,
-0.008425695821642876,
0.04235469549894333,
0.07712268829345703,
-0.033300988376140594,
0.030105385929346085,
0.07200701534748077,
-0.02415614202618599,
0.0047850096598267555,
0.014060410670936108,
-0.003899294650182128,
0.05372713878750801,
0.031882453709840775,
-0.04244846850633621,
0.05359891057014465,
0.038099341094493866,
-0.015439537353813648,
-0.000029642631488968618,
0.0012505872873589396,
-0.03537851199507713,
0.08010847121477127,
-0.05987709388136864,
-0.028578566387295723,
0.019058069214224815,
-0.048209961503744125,
0.05485209450125694,
-0.14142300188541412,
-4.706673450982635e-8,
-0.014983507804572582,
0.006203822325915098,
0.04271821677684784,
-0.03426972031593323,
0.10441146045923233,
-0.016988079994916916,
-0.024262459948658943,
0.018593141809105873,
-0.04973718151450157,
-0.03360961750149727,
0.06313271820545197,
-0.04357533156871796,
-0.006424364168196917,
-0.03203478455543518,
0.030846543610095978,
-0.04746583476662636,
-0.0008107043686322868,
-0.014093692414462566,
-0.04332421347498894,
-0.008317668922245502,
0.054080765694379807,
-0.01266910508275032,
-0.028465822339057922,
0.02583007887005806,
0.0697149708867073,
-0.05197645723819733,
-0.10125190019607544,
0.05545927584171295,
0.08621891587972641,
0.017093993723392487,
0.0817205011844635,
0.006304372102022171,
-0.017395908012986183,
0.029552675783634186,
-0.01167513057589531,
0.038801949471235275,
0.05224800854921341,
-0.05369189381599426,
-0.05910682678222656,
-0.048756781965494156,
-0.045274123549461365,
0.026003923267126083,
-0.0416257418692112,
0.06863118708133698,
0.00819541048258543,
0.004355906508862972,
-0.02760063298046589,
-0.06409262865781784,
0.028340600430965424,
0.024339336901903152,
0.031024953350424767,
0.04362950474023819,
-0.0564996600151062,
0.050183553248643875,
0.026905810460448265,
0.07081346213817596,
0.05584318935871124,
-0.07971770316362381,
-0.05329852178692818,
0.005060448311269283,
0.03242198005318642,
0.015393327921628952,
-0.01725233905017376,
0.07683062553405762
] |
1401.7944
|
Fragkiskos Papadopoulos
|
Constantinos Psomas, Fragkiskos Papadopoulos
|
Performance Rescaling of Complex Networks
|
To appear in IEEE Communications Letters
|
IEEE Communications Letters, Vol. 18, Issue 4, pp. 684-687, 2014
|
10.1109/LCOMM.2014.021014.132684
| null |
cs.NI cond-mat.stat-mech cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent progress in network topology modeling [1], [2] has shown that it is
possible to create smaller-scale replicas of large complex networks, like the
Internet, while simultaneously preserving several important topological
properties. However, the constructed replicas do not include notions of
capacities and latencies, and the fundamental question of whether smaller
networks can reproduce the performance of larger networks remains unanswered.
We address this question in this letter, and show that it is possible to
predict the performance of larger networks from smaller replicas, as long as
the right link capacities and propagation delays are assigned to the replica's
links. Our procedure is inspired by techniques introduced in [2] and combines a
time-downscaling argument from [3]. We show that significant computational
savings can be achieved when simulating smaller-scale replicas with TCP and UDP
traffic, with simulation times being reduced by up to two orders of magnitude.
|
[
{
"created": "Thu, 30 Jan 2014 18:18:22 GMT",
"version": "v1"
}
] |
2015-08-18
|
[
[
"Psomas",
"Constantinos",
""
],
[
"Papadopoulos",
"Fragkiskos",
""
]
] |
[
-0.011145496740937233,
-0.03258062154054642,
0.0009332688059657812,
0.010169520042836666,
0.024462329223752022,
-0.059285543859004974,
-0.0710187777876854,
0.014672885648906231,
0.06321746855974197,
-0.019779952242970467,
-0.06339098513126373,
0.0397433303296566,
0.0334184393286705,
0.0006755447830073535,
0.004738301504403353,
-0.05539514869451523,
0.09747513383626938,
0.010524889454245567,
-0.07186713069677353,
-0.03474750369787216,
0.0035330180544406176,
-0.07598984241485596,
-0.006837373599410057,
-0.05711914971470833,
0.054361678659915924,
-0.0047511085867881775,
-0.029816502705216408,
0.01834331639111042,
-0.0007773689576424658,
-0.033351022750139236,
0.02560258097946644,
-0.051439203321933746,
-0.054231029003858566,
-0.06875089555978775,
-0.01926141418516636,
0.0058330148458480835,
-0.05174197256565094,
0.007694704458117485,
0.05096783488988876,
0.02211948297917843,
0.13906578719615936,
-0.00019801796588581055,
-0.027201568707823753,
0.076021209359169,
-0.043115194886922836,
0.03556361049413681,
-0.0029879750218242407,
0.06455174833536148,
-0.05322805419564247,
-0.06597442924976349,
0.01116179209202528,
0.016292547807097435,
-0.030164070427417755,
0.011528464034199715,
0.04424208402633667,
-0.023757584393024445,
0.021702604368329048,
0.02109476923942566,
-0.028720801696181297,
0.08606939762830734,
0.10336937010288239,
-0.10133510082960129,
-0.04174866899847984,
0.012630422599613667,
0.006388743408024311,
0.05065893009305,
0.1017615869641304,
0.09165149182081223,
0.024336308240890503,
0.07077717781066895,
0.02740962617099285,
0.020434584468603134,
-0.0684833750128746,
0.06970289349555969,
0.03268373757600784,
-0.03282441943883896,
-0.024220990017056465,
0.048980697989463806,
-0.014754495583474636,
-0.009730773977935314,
-0.029918938875198364,
-0.0012264958349987864,
-0.01601698249578476,
0.003009356092661619,
-0.0642002671957016,
-0.038349561393260956,
0.0017155363457277417,
-0.023184699937701225,
-0.008025486953556538,
-0.054108526557683945,
-0.012510530650615692,
0.10285525023937225,
-0.016088811680674553,
0.006364862900227308,
-0.059632886201143265,
0.01923343911767006,
-0.03849306330084801,
-0.058704838156700134,
0.011032581329345703,
0.06669218093156815,
0.007389527279883623,
0.019532734528183937,
0.1272592842578888,
-0.06439094990491867,
0.06754434108734131,
0.013175210915505886,
0.02203398011624813,
0.021327750757336617,
0.028461072593927383,
0.04336615279316902,
-0.03287886083126068,
0.07868748903274536,
-0.00770982913672924,
0.051626674830913544,
-0.007027625571936369,
0.019362561404705048,
0.018017837777733803,
-0.029791908338665962,
0.009109722450375557,
0.08996967226266861,
-0.006752306129783392,
0.014036881737411022,
0.03984924778342247,
-0.0912722498178482,
-0.008297057822346687,
0.009162399917840958,
-0.04563355818390846,
2.113023278303042e-33,
0.018276289105415344,
0.007609018590301275,
-0.03819018974900246,
-0.024104861542582512,
0.11174378544092178,
0.03379829227924347,
0.02267063781619072,
-0.028365567326545715,
-0.02130710333585739,
-0.0690755695104599,
-0.09241056442260742,
0.011651483364403248,
-0.019319316372275352,
0.04790116474032402,
0.03304804116487503,
-0.033003874123096466,
0.02338380552828312,
0.01958158053457737,
0.03412426635622978,
-0.08068471401929855,
0.044739194214344025,
-0.08964894711971283,
-0.04978669807314873,
-0.006032581441104412,
-0.00197540782392025,
-0.07538685947656631,
-0.028531137853860855,
-0.014696730300784111,
0.02050459012389183,
-0.0036248366814106703,
-0.0316939540207386,
0.06808921694755554,
-0.0070503754541277885,
0.034239936619997025,
0.04551246017217636,
0.01329075638204813,
0.06219884753227234,
-0.0633433610200882,
-0.02699972502887249,
-0.034260377287864685,
-0.04765333980321884,
0.03658866509795189,
-0.04565433785319328,
0.01902637630701065,
-0.09248141944408417,
-0.07475938647985458,
0.026569727808237076,
0.003040154930204153,
-0.02665873058140278,
-0.07479293644428253,
0.13407698273658752,
-0.034750014543533325,
0.007296931464225054,
-0.049731913954019547,
0.034102749079465866,
-0.03792867064476013,
0.040409527719020844,
0.06137510761618614,
0.05028324946761131,
0.16180305182933807,
0.0124233802780509,
-0.11105015128850937,
-0.03542570024728775,
0.061545878648757935,
0.04354466125369072,
0.04412783309817314,
-0.003171859309077263,
-0.02014305256307125,
0.05748472362756729,
-0.008107819594442844,
0.01891561597585678,
0.03855215758085251,
-0.04146892949938774,
-0.055434610694646835,
0.010866574943065643,
0.01056485902518034,
-0.030215607956051826,
-0.07634889334440231,
-0.053804799914360046,
0.09637051075696945,
-0.0528465174138546,
0.016769075766205788,
-0.04294884204864502,
-0.019527586176991463,
0.015798207372426987,
-0.08730228245258331,
0.07250344008207321,
0.03503671661019325,
-0.05553753674030304,
-0.023877441883087158,
-0.11197316646575928,
0.0026092729531228542,
0.09530729055404663,
-0.0278000608086586,
-0.009918641299009323,
-2.0428174292131578e-33,
-0.011225131340324879,
0.012927857227623463,
0.054585929960012436,
0.1319313794374466,
0.008993718773126602,
-0.07737287133932114,
0.03180477395653725,
-0.008668940514326096,
-0.05295349285006523,
-0.0019937511533498764,
-0.009845813736319542,
-0.028608698397874832,
0.061582304537296295,
-0.04795604571700096,
-0.006445042323321104,
-0.08072962611913681,
0.06165936589241028,
-0.0870080292224884,
0.02445111609995365,
-0.06920536607503891,
0.010846329852938652,
-0.0708007737994194,
-0.061632122844457626,
-0.014704316854476929,
0.06667599827051163,
0.021681006997823715,
0.0009856967953965068,
-0.02103090099990368,
-0.017029765993356705,
-0.004903748631477356,
-0.061880115419626236,
-0.05035103112459183,
-0.03627622500061989,
-0.011041741818189621,
0.06561989337205887,
0.15648171305656433,
0.060385119169950485,
0.09381948411464691,
-0.00928126648068428,
-0.08003652840852737,
0.03196273744106293,
-0.07022018730640411,
-0.06398919969797134,
-0.022297171875834465,
0.06989601254463196,
0.014184235595166683,
-0.04018501564860344,
-0.002926855580881238,
-0.11811266839504242,
-0.01561497338116169,
0.0645470842719078,
0.03967810049653053,
0.020791199058294296,
-0.02049705944955349,
0.03393340855836868,
0.03170172870159149,
-0.02631712146103382,
0.030389128252863884,
0.03171452134847641,
0.04483041539788246,
-0.018221644684672356,
-0.14874060451984406,
-0.025963274762034416,
0.07354828715324402,
-0.028960268944501877,
-0.04111599177122116,
0.015570858493447304,
-0.04573005437850952,
-0.05722441524267197,
0.038114115595817566,
-0.02085864171385765,
0.019985001534223557,
-0.04512900486588478,
0.0019515817984938622,
-0.0656968504190445,
-0.06936854869127274,
0.10198760777711868,
0.13768035173416138,
0.037627510726451874,
0.06831817328929901,
-0.07596589624881744,
0.147065207362175,
-0.046163566410541534,
-0.10995832830667496,
0.06973778456449509,
0.009471366181969643,
0.05115854740142822,
0.04195241630077362,
0.02176833525300026,
0.0734313577413559,
0.008645621128380299,
0.056744351983070374,
-0.027564730495214462,
0.04113646596670151,
-0.03641277179121971,
-4.355846527914764e-8,
-0.05806148797273636,
0.034760862588882446,
0.02810525894165039,
-0.009658196941018105,
0.004557267762720585,
0.047748465090990067,
0.05065804347395897,
-0.011231793090701103,
0.02789193205535412,
0.059109676629304886,
0.03160948306322098,
0.009316458366811275,
-0.021097885444760323,
0.02507305145263672,
0.05061874911189079,
0.03565659373998642,
0.013206269592046738,
-0.1318044811487198,
-0.005230840295553207,
-0.05976196750998497,
-0.02109164372086525,
0.06014629453420639,
-0.030086319893598557,
-0.004520282614976168,
-0.002016684040427208,
0.00038530532037839293,
0.03751321882009506,
0.03648285195231438,
-0.05330560728907585,
0.0014008869184181094,
-0.042248163372278214,
0.015743598341941833,
-0.017144208773970604,
-0.0028013649862259626,
0.003479431150481105,
0.044929906725883484,
-0.0289747416973114,
0.08363879472017288,
0.03499843552708626,
0.0037285753060132265,
0.028202688321471214,
-0.09702545404434204,
0.01620757207274437,
0.008494625799357891,
0.09376862645149231,
-0.02476378343999386,
-0.03071243315935135,
0.13268938660621643,
-0.004892705008387566,
-0.03784981742501259,
0.030229780822992325,
0.0064856624230742455,
-0.00819698441773653,
-0.021514561027288437,
-0.0022500811610370874,
-0.039641380310058594,
0.019427388906478882,
-0.08064159005880356,
0.04645000025629997,
-0.007282502483576536,
-0.023718437179923058,
-0.021849708631634712,
-0.04059896990656853,
-0.001172639080323279
] | null | null | null | null | null | null | null |
[
-0.011145496740937233,
-0.03258062154054642,
0.0009332688059657812,
0.010169520042836666,
0.024462329223752022,
-0.059285543859004974,
-0.0710187777876854,
0.014672885648906231,
0.06321746855974197,
-0.019779952242970467,
-0.06339098513126373,
0.0397433303296566,
0.0334184393286705,
0.0006755447830073535,
0.004738301504403353,
-0.05539514869451523,
0.09747513383626938,
0.010524889454245567,
-0.07186713069677353,
-0.03474750369787216,
0.0035330180544406176,
-0.07598984241485596,
-0.006837373599410057,
-0.05711914971470833,
0.054361678659915924,
-0.0047511085867881775,
-0.029816502705216408,
0.01834331639111042,
-0.0007773689576424658,
-0.033351022750139236,
0.02560258097946644,
-0.051439203321933746,
-0.054231029003858566,
-0.06875089555978775,
-0.01926141418516636,
0.0058330148458480835,
-0.05174197256565094,
0.007694704458117485,
0.05096783488988876,
0.02211948297917843,
0.13906578719615936,
-0.00019801796588581055,
-0.027201568707823753,
0.076021209359169,
-0.043115194886922836,
0.03556361049413681,
-0.0029879750218242407,
0.06455174833536148,
-0.05322805419564247,
-0.06597442924976349,
0.01116179209202528,
0.016292547807097435,
-0.030164070427417755,
0.011528464034199715,
0.04424208402633667,
-0.023757584393024445,
0.021702604368329048,
0.02109476923942566,
-0.028720801696181297,
0.08606939762830734,
0.10336937010288239,
-0.10133510082960129,
-0.04174866899847984,
0.012630422599613667,
0.006388743408024311,
0.05065893009305,
0.1017615869641304,
0.09165149182081223,
0.024336308240890503,
0.07077717781066895,
0.02740962617099285,
0.020434584468603134,
-0.0684833750128746,
0.06970289349555969,
0.03268373757600784,
-0.03282441943883896,
-0.024220990017056465,
0.048980697989463806,
-0.014754495583474636,
-0.009730773977935314,
-0.029918938875198364,
-0.0012264958349987864,
-0.01601698249578476,
0.003009356092661619,
-0.0642002671957016,
-0.038349561393260956,
0.0017155363457277417,
-0.023184699937701225,
-0.008025486953556538,
-0.054108526557683945,
-0.012510530650615692,
0.10285525023937225,
-0.016088811680674553,
0.006364862900227308,
-0.059632886201143265,
0.01923343911767006,
-0.03849306330084801,
-0.058704838156700134,
0.011032581329345703,
0.06669218093156815,
0.007389527279883623,
0.019532734528183937,
0.1272592842578888,
-0.06439094990491867,
0.06754434108734131,
0.013175210915505886,
0.02203398011624813,
0.021327750757336617,
0.028461072593927383,
0.04336615279316902,
-0.03287886083126068,
0.07868748903274536,
-0.00770982913672924,
0.051626674830913544,
-0.007027625571936369,
0.019362561404705048,
0.018017837777733803,
-0.029791908338665962,
0.009109722450375557,
0.08996967226266861,
-0.006752306129783392,
0.014036881737411022,
0.03984924778342247,
-0.0912722498178482,
-0.008297057822346687,
0.009162399917840958,
-0.04563355818390846,
2.113023278303042e-33,
0.018276289105415344,
0.007609018590301275,
-0.03819018974900246,
-0.024104861542582512,
0.11174378544092178,
0.03379829227924347,
0.02267063781619072,
-0.028365567326545715,
-0.02130710333585739,
-0.0690755695104599,
-0.09241056442260742,
0.011651483364403248,
-0.019319316372275352,
0.04790116474032402,
0.03304804116487503,
-0.033003874123096466,
0.02338380552828312,
0.01958158053457737,
0.03412426635622978,
-0.08068471401929855,
0.044739194214344025,
-0.08964894711971283,
-0.04978669807314873,
-0.006032581441104412,
-0.00197540782392025,
-0.07538685947656631,
-0.028531137853860855,
-0.014696730300784111,
0.02050459012389183,
-0.0036248366814106703,
-0.0316939540207386,
0.06808921694755554,
-0.0070503754541277885,
0.034239936619997025,
0.04551246017217636,
0.01329075638204813,
0.06219884753227234,
-0.0633433610200882,
-0.02699972502887249,
-0.034260377287864685,
-0.04765333980321884,
0.03658866509795189,
-0.04565433785319328,
0.01902637630701065,
-0.09248141944408417,
-0.07475938647985458,
0.026569727808237076,
0.003040154930204153,
-0.02665873058140278,
-0.07479293644428253,
0.13407698273658752,
-0.034750014543533325,
0.007296931464225054,
-0.049731913954019547,
0.034102749079465866,
-0.03792867064476013,
0.040409527719020844,
0.06137510761618614,
0.05028324946761131,
0.16180305182933807,
0.0124233802780509,
-0.11105015128850937,
-0.03542570024728775,
0.061545878648757935,
0.04354466125369072,
0.04412783309817314,
-0.003171859309077263,
-0.02014305256307125,
0.05748472362756729,
-0.008107819594442844,
0.01891561597585678,
0.03855215758085251,
-0.04146892949938774,
-0.055434610694646835,
0.010866574943065643,
0.01056485902518034,
-0.030215607956051826,
-0.07634889334440231,
-0.053804799914360046,
0.09637051075696945,
-0.0528465174138546,
0.016769075766205788,
-0.04294884204864502,
-0.019527586176991463,
0.015798207372426987,
-0.08730228245258331,
0.07250344008207321,
0.03503671661019325,
-0.05553753674030304,
-0.023877441883087158,
-0.11197316646575928,
0.0026092729531228542,
0.09530729055404663,
-0.0278000608086586,
-0.009918641299009323,
-2.0428174292131578e-33,
-0.011225131340324879,
0.012927857227623463,
0.054585929960012436,
0.1319313794374466,
0.008993718773126602,
-0.07737287133932114,
0.03180477395653725,
-0.008668940514326096,
-0.05295349285006523,
-0.0019937511533498764,
-0.009845813736319542,
-0.028608698397874832,
0.061582304537296295,
-0.04795604571700096,
-0.006445042323321104,
-0.08072962611913681,
0.06165936589241028,
-0.0870080292224884,
0.02445111609995365,
-0.06920536607503891,
0.010846329852938652,
-0.0708007737994194,
-0.061632122844457626,
-0.014704316854476929,
0.06667599827051163,
0.021681006997823715,
0.0009856967953965068,
-0.02103090099990368,
-0.017029765993356705,
-0.004903748631477356,
-0.061880115419626236,
-0.05035103112459183,
-0.03627622500061989,
-0.011041741818189621,
0.06561989337205887,
0.15648171305656433,
0.060385119169950485,
0.09381948411464691,
-0.00928126648068428,
-0.08003652840852737,
0.03196273744106293,
-0.07022018730640411,
-0.06398919969797134,
-0.022297171875834465,
0.06989601254463196,
0.014184235595166683,
-0.04018501564860344,
-0.002926855580881238,
-0.11811266839504242,
-0.01561497338116169,
0.0645470842719078,
0.03967810049653053,
0.020791199058294296,
-0.02049705944955349,
0.03393340855836868,
0.03170172870159149,
-0.02631712146103382,
0.030389128252863884,
0.03171452134847641,
0.04483041539788246,
-0.018221644684672356,
-0.14874060451984406,
-0.025963274762034416,
0.07354828715324402,
-0.028960268944501877,
-0.04111599177122116,
0.015570858493447304,
-0.04573005437850952,
-0.05722441524267197,
0.038114115595817566,
-0.02085864171385765,
0.019985001534223557,
-0.04512900486588478,
0.0019515817984938622,
-0.0656968504190445,
-0.06936854869127274,
0.10198760777711868,
0.13768035173416138,
0.037627510726451874,
0.06831817328929901,
-0.07596589624881744,
0.147065207362175,
-0.046163566410541534,
-0.10995832830667496,
0.06973778456449509,
0.009471366181969643,
0.05115854740142822,
0.04195241630077362,
0.02176833525300026,
0.0734313577413559,
0.008645621128380299,
0.056744351983070374,
-0.027564730495214462,
0.04113646596670151,
-0.03641277179121971,
-4.355846527914764e-8,
-0.05806148797273636,
0.034760862588882446,
0.02810525894165039,
-0.009658196941018105,
0.004557267762720585,
0.047748465090990067,
0.05065804347395897,
-0.011231793090701103,
0.02789193205535412,
0.059109676629304886,
0.03160948306322098,
0.009316458366811275,
-0.021097885444760323,
0.02507305145263672,
0.05061874911189079,
0.03565659373998642,
0.013206269592046738,
-0.1318044811487198,
-0.005230840295553207,
-0.05976196750998497,
-0.02109164372086525,
0.06014629453420639,
-0.030086319893598557,
-0.004520282614976168,
-0.002016684040427208,
0.00038530532037839293,
0.03751321882009506,
0.03648285195231438,
-0.05330560728907585,
0.0014008869184181094,
-0.042248163372278214,
0.015743598341941833,
-0.017144208773970604,
-0.0028013649862259626,
0.003479431150481105,
0.044929906725883484,
-0.0289747416973114,
0.08363879472017288,
0.03499843552708626,
0.0037285753060132265,
0.028202688321471214,
-0.09702545404434204,
0.01620757207274437,
0.008494625799357891,
0.09376862645149231,
-0.02476378343999386,
-0.03071243315935135,
0.13268938660621643,
-0.004892705008387566,
-0.03784981742501259,
0.030229780822992325,
0.0064856624230742455,
-0.00819698441773653,
-0.021514561027288437,
-0.0022500811610370874,
-0.039641380310058594,
0.019427388906478882,
-0.08064159005880356,
0.04645000025629997,
-0.007282502483576536,
-0.023718437179923058,
-0.021849708631634712,
-0.04059896990656853,
-0.001172639080323279
] |
1401.7949
|
Donatella Cassettari
|
Rowan W. G. Moore, Lucie A. Lee, Elizabeth A. Findlay, Lara
Torralbo-Campo, Graham D. Bruce and Donatella Cassettari
|
Measurement of Vacuum Pressure with a Magneto-Optical Trap: a
Pressure-Rise Method
|
5 pages, 6 figures
|
Rev. Sci. Instrum. 86, 093108 (2015)
|
10.1063/1.4928154
| null |
physics.atom-ph cond-mat.quant-gas physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The lifetime of an atom trap is often limited by the presence of residual
background gases in the vacuum chamber. This leads to the lifetime being
inversely proportional to the pressure. Here we use this dependence to estimate
the pressure and to obtain pressure rate-of-rise curves, which are commonly
used in vacuum science to evaluate the performance of a system. We observe
different rates of pressure increase in response to different levels of
outgassing in our system. Therefore we suggest that this is a sensitive method
which will be useful in applications of cold atom systems, in particular where
the inclusion of a standard vacuum gauge is impractical.
|
[
{
"created": "Thu, 30 Jan 2014 18:33:35 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 09:38:35 GMT",
"version": "v2"
}
] |
2015-10-14
|
[
[
"Moore",
"Rowan W. G.",
""
],
[
"Lee",
"Lucie A.",
""
],
[
"Findlay",
"Elizabeth A.",
""
],
[
"Torralbo-Campo",
"Lara",
""
],
[
"Bruce",
"Graham D.",
""
],
[
"Cassettari",
"Donatella",
""
]
] |
[
-0.03205223008990288,
0.04500959813594818,
-0.050834253430366516,
0.09110864996910095,
-0.01661200262606144,
0.030205072835087776,
0.018417801707983017,
0.06654921174049377,
0.024708762764930725,
0.012337497435510159,
-0.010877192951738834,
-0.06460888683795929,
-0.022283488884568214,
-0.020801840350031853,
0.025946058332920074,
-0.03387943282723427,
0.046075303107500076,
0.0639742761850357,
0.01656678132712841,
-0.020914899185299873,
-0.006530201993882656,
0.010161054320633411,
0.06264466047286987,
0.010677843354642391,
-0.04197268560528755,
-0.05486438050866127,
-0.03590505197644234,
-0.045506227761507034,
0.0019307914189994335,
0.002916808007284999,
-0.07709331065416336,
-0.08618402481079102,
-0.05482307821512222,
0.011932743713259697,
0.10970724374055862,
-0.07321132719516754,
-0.05508285015821457,
0.011425772681832314,
-0.045468613505363464,
0.055277615785598755,
-0.03461247310042381,
0.04071652516722679,
-0.010825121775269508,
0.08158965408802032,
-0.023857098072767258,
0.03128918260335922,
0.06415987014770508,
0.05692248046398163,
-0.041690900921821594,
0.008428792469203472,
0.013597328215837479,
0.06249425932765007,
0.034059010446071625,
0.04997939243912697,
-0.022740719839930534,
0.02124439924955368,
-0.033490702509880066,
-0.07101637125015259,
-0.07498179376125336,
-0.14087285101413727,
-0.0469338484108448,
-0.033665359020233154,
-0.012653046287596226,
0.025014406070113182,
0.022487211972475052,
0.07164695858955383,
0.05982981622219086,
-0.014132939279079437,
0.10872872918844223,
0.00788086373358965,
-0.14298993349075317,
-0.0034001257736235857,
-0.05097135901451111,
0.01994076743721962,
-0.0070428806357085705,
-0.002029405441135168,
-0.01576625183224678,
0.033722396939992905,
0.01762550324201584,
-0.02722250670194626,
0.051978230476379395,
-0.060186680406332016,
-0.1519996076822281,
-0.07304506003856659,
-0.058986298739910126,
0.06838390231132507,
0.05822643265128136,
-0.0402395986020565,
0.0407622791826725,
-0.0782121941447258,
-0.06490244716405869,
-0.030271660536527634,
-0.02861272357404232,
-0.06030186265707016,
0.01891217567026615,
0.013572819530963898,
0.07512962818145752,
0.0696120411157608,
-0.0007258467958308756,
-0.018987121060490608,
0.07374227046966553,
0.001143557601608336,
-0.04252151772379875,
0.06012054532766342,
0.0028489315882325172,
-0.011370059102773666,
0.0818639025092125,
0.0246996209025383,
-0.016668885946273804,
0.05572889372706413,
0.07048942893743515,
-0.06447263807058334,
0.032451383769512177,
-0.06033620983362198,
0.12959152460098267,
-0.004890625365078449,
0.015158645808696747,
0.01099562831223011,
-0.047674328088760376,
0.05920039489865303,
0.00018016294052358717,
0.032507456839084625,
-0.060284823179244995,
-0.028247082605957985,
0.019994374364614487,
0.010018404573202133,
-0.03230568766593933,
-2.0186626733426906e-33,
0.006313380319625139,
-0.025424310937523842,
-0.0022919904440641403,
-0.002023467095568776,
-0.09649411588907242,
-0.06042362004518509,
-0.0008630588417872787,
0.05831347778439522,
-0.04698162153363228,
0.1095300018787384,
0.014528268948197365,
-0.1117919534444809,
-0.04387420415878296,
-0.07589565962553024,
-0.01901901699602604,
0.04829142987728119,
0.03733736649155617,
0.03464238718152046,
0.06010682135820389,
0.015689847990870476,
-0.037651143968105316,
0.01808101311326027,
0.02689582295715809,
-0.000006906477665324928,
0.034297555685043335,
0.07504702359437943,
0.029053790494799614,
-0.02950078807771206,
-0.08153719455003738,
-0.04483621567487717,
0.10280874371528625,
0.04077925533056259,
-0.0817602276802063,
-0.0011782508809119463,
-0.043121371418237686,
-0.058617133647203445,
0.0001365063653793186,
0.07707930356264114,
0.0684896931052208,
-0.07601010799407959,
0.00029164552688598633,
0.03525335714221001,
0.050301287323236465,
-0.02029590494930744,
0.019681990146636963,
-0.056450653821229935,
-0.06589541584253311,
-0.04359864071011543,
0.06116137653589249,
-0.005024165380746126,
0.05152813345193863,
-0.029170619323849678,
-0.030178310349583626,
0.1077236458659172,
0.11519496887922287,
0.021227214485406876,
0.02716323919594288,
-0.029455438256263733,
-0.005150412209331989,
0.0033488513436168432,
-0.04764318838715553,
0.022402524948120117,
-0.03278917074203491,
0.018647268414497375,
-0.07428796589374542,
0.07601256668567657,
-0.05650081858038902,
0.015117047354578972,
-0.020733097568154335,
0.015801841393113136,
-0.03378303721547127,
-0.06286366283893585,
-0.044946081936359406,
-0.038688838481903076,
-0.05935299023985863,
0.03329912945628166,
0.0013658530078828335,
-0.04082489386200905,
0.09378362447023392,
-0.015317241661250591,
-0.006387494970113039,
-0.12034912407398224,
0.02512868493795395,
-0.004000683780759573,
-0.020095888525247574,
-0.06187334284186363,
-0.06529727578163147,
-0.04223708435893059,
0.022670762613415718,
0.035619184374809265,
0.034658126533031464,
-0.034718696027994156,
0.030580909922719002,
-0.0714501440525055,
-0.029263773933053017,
-4.0993446123057575e-34,
0.02444411627948284,
0.05205326899886131,
-0.051486287266016006,
0.05409419536590576,
0.02263108268380165,
0.07630651444196701,
-0.1061769649386406,
-0.036804888397455215,
0.00021830544574186206,
-0.01978704333305359,
-0.06258917599916458,
0.07294077426195145,
0.00036964862374588847,
0.03505663201212883,
0.09034710377454758,
0.05963333323597908,
-0.004433969967067242,
-0.11682386696338654,
0.04475799575448036,
0.03127022087574005,
-0.000561016087885946,
0.0035264799371361732,
-0.003937006462365389,
-0.04693901538848877,
-0.02913169004023075,
-0.01402271818369627,
0.03028281219303608,
0.0018041088478639722,
0.028316067531704903,
-0.10426905006170273,
-0.03876497223973274,
0.06120051071047783,
0.006114701274782419,
0.01663694716989994,
-0.06183377653360367,
-0.08773081749677658,
0.042008284479379654,
0.08066828548908234,
-0.058058641850948334,
-0.012867945246398449,
-0.002512553008273244,
0.04377533867955208,
-0.047987375408411026,
-0.03634754195809364,
-0.03365946188569069,
0.09021446853876114,
-0.013237246312201023,
-0.12300857901573181,
0.025591686367988586,
0.017135201022028923,
-0.04739625006914139,
-0.048512764275074005,
-0.014878722839057446,
0.07375021278858185,
-0.04550904035568237,
0.08396098017692566,
-0.03653915226459503,
0.0671573355793953,
0.025122741237282753,
0.007675549481064081,
0.03334847092628479,
-0.051206525415182114,
0.07706576585769653,
-0.05045915022492409,
-0.01894209161400795,
-0.04252677038311958,
-0.03853929787874222,
0.07841194421052933,
-0.02467546984553337,
-0.011255631223320961,
0.05049452558159828,
0.013785762712359428,
0.07264314591884613,
0.022824915125966072,
-0.06391749531030655,
-0.006701366975903511,
0.08022986352443695,
-0.09278970211744308,
0.023832613602280617,
0.019180115312337875,
-0.08324908465147018,
0.06876716762781143,
-0.05355345457792282,
0.03683535009622574,
0.047675155103206635,
-0.01582435891032219,
-0.06289790570735931,
0.028624750673770905,
0.0006040632724761963,
-0.007406747899949551,
-0.007725305389612913,
-0.04497608542442322,
0.0507390983402729,
-0.07879813760519028,
0.014447774738073349,
-4.248307661214312e-8,
0.009648040868341923,
0.03422985598444939,
0.0012305655982345343,
0.04429496079683304,
-0.0015346788568422198,
0.10630247741937637,
-0.005865119397640228,
0.13661043345928192,
-0.036171406507492065,
-0.02510788105428219,
0.08049174398183823,
0.01815078593790531,
0.09755225479602814,
0.049221478402614594,
0.06187451630830765,
0.018559815362095833,
-0.07622333616018295,
0.03182915598154068,
-0.015785083174705505,
-0.06786517798900604,
0.022449644282460213,
0.04311873018741608,
0.018876967951655388,
-0.000373528222553432,
-0.005456237588077784,
0.006273995153605938,
0.029839035123586655,
0.0032701832242310047,
-0.014066592790186405,
-0.010219961404800415,
-0.08878402411937714,
0.005187584552913904,
0.10541212558746338,
0.037268172949552536,
0.0005865314742550254,
0.007433232385665178,
0.01069954875856638,
0.02554672211408615,
0.011169918812811375,
0.04329648241400719,
-0.007134626619517803,
0.023173140361905098,
-0.0649259015917778,
0.00038630279595963657,
-0.045009225606918335,
0.05591649189591408,
-0.01595919020473957,
0.07441198080778122,
-0.06960470974445343,
0.056067027151584625,
-0.057178933173418045,
0.049038615077733994,
-0.06334853917360306,
-0.025015028193593025,
0.024016136303544044,
-0.006914008874446154,
-0.036635491997003555,
0.02179531566798687,
-0.005868684966117144,
0.042321570217609406,
0.04258282855153084,
-0.03926737979054451,
-0.11428925395011902,
-0.0060323323123157024
] | null | null | null | null | null | null | null |
[
-0.03205223008990288,
0.04500959813594818,
-0.050834253430366516,
0.09110864996910095,
-0.01661200262606144,
0.030205072835087776,
0.018417801707983017,
0.06654921174049377,
0.024708762764930725,
0.012337497435510159,
-0.010877192951738834,
-0.06460888683795929,
-0.022283488884568214,
-0.020801840350031853,
0.025946058332920074,
-0.03387943282723427,
0.046075303107500076,
0.0639742761850357,
0.01656678132712841,
-0.020914899185299873,
-0.006530201993882656,
0.010161054320633411,
0.06264466047286987,
0.010677843354642391,
-0.04197268560528755,
-0.05486438050866127,
-0.03590505197644234,
-0.045506227761507034,
0.0019307914189994335,
0.002916808007284999,
-0.07709331065416336,
-0.08618402481079102,
-0.05482307821512222,
0.011932743713259697,
0.10970724374055862,
-0.07321132719516754,
-0.05508285015821457,
0.011425772681832314,
-0.045468613505363464,
0.055277615785598755,
-0.03461247310042381,
0.04071652516722679,
-0.010825121775269508,
0.08158965408802032,
-0.023857098072767258,
0.03128918260335922,
0.06415987014770508,
0.05692248046398163,
-0.041690900921821594,
0.008428792469203472,
0.013597328215837479,
0.06249425932765007,
0.034059010446071625,
0.04997939243912697,
-0.022740719839930534,
0.02124439924955368,
-0.033490702509880066,
-0.07101637125015259,
-0.07498179376125336,
-0.14087285101413727,
-0.0469338484108448,
-0.033665359020233154,
-0.012653046287596226,
0.025014406070113182,
0.022487211972475052,
0.07164695858955383,
0.05982981622219086,
-0.014132939279079437,
0.10872872918844223,
0.00788086373358965,
-0.14298993349075317,
-0.0034001257736235857,
-0.05097135901451111,
0.01994076743721962,
-0.0070428806357085705,
-0.002029405441135168,
-0.01576625183224678,
0.033722396939992905,
0.01762550324201584,
-0.02722250670194626,
0.051978230476379395,
-0.060186680406332016,
-0.1519996076822281,
-0.07304506003856659,
-0.058986298739910126,
0.06838390231132507,
0.05822643265128136,
-0.0402395986020565,
0.0407622791826725,
-0.0782121941447258,
-0.06490244716405869,
-0.030271660536527634,
-0.02861272357404232,
-0.06030186265707016,
0.01891217567026615,
0.013572819530963898,
0.07512962818145752,
0.0696120411157608,
-0.0007258467958308756,
-0.018987121060490608,
0.07374227046966553,
0.001143557601608336,
-0.04252151772379875,
0.06012054532766342,
0.0028489315882325172,
-0.011370059102773666,
0.0818639025092125,
0.0246996209025383,
-0.016668885946273804,
0.05572889372706413,
0.07048942893743515,
-0.06447263807058334,
0.032451383769512177,
-0.06033620983362198,
0.12959152460098267,
-0.004890625365078449,
0.015158645808696747,
0.01099562831223011,
-0.047674328088760376,
0.05920039489865303,
0.00018016294052358717,
0.032507456839084625,
-0.060284823179244995,
-0.028247082605957985,
0.019994374364614487,
0.010018404573202133,
-0.03230568766593933,
-2.0186626733426906e-33,
0.006313380319625139,
-0.025424310937523842,
-0.0022919904440641403,
-0.002023467095568776,
-0.09649411588907242,
-0.06042362004518509,
-0.0008630588417872787,
0.05831347778439522,
-0.04698162153363228,
0.1095300018787384,
0.014528268948197365,
-0.1117919534444809,
-0.04387420415878296,
-0.07589565962553024,
-0.01901901699602604,
0.04829142987728119,
0.03733736649155617,
0.03464238718152046,
0.06010682135820389,
0.015689847990870476,
-0.037651143968105316,
0.01808101311326027,
0.02689582295715809,
-0.000006906477665324928,
0.034297555685043335,
0.07504702359437943,
0.029053790494799614,
-0.02950078807771206,
-0.08153719455003738,
-0.04483621567487717,
0.10280874371528625,
0.04077925533056259,
-0.0817602276802063,
-0.0011782508809119463,
-0.043121371418237686,
-0.058617133647203445,
0.0001365063653793186,
0.07707930356264114,
0.0684896931052208,
-0.07601010799407959,
0.00029164552688598633,
0.03525335714221001,
0.050301287323236465,
-0.02029590494930744,
0.019681990146636963,
-0.056450653821229935,
-0.06589541584253311,
-0.04359864071011543,
0.06116137653589249,
-0.005024165380746126,
0.05152813345193863,
-0.029170619323849678,
-0.030178310349583626,
0.1077236458659172,
0.11519496887922287,
0.021227214485406876,
0.02716323919594288,
-0.029455438256263733,
-0.005150412209331989,
0.0033488513436168432,
-0.04764318838715553,
0.022402524948120117,
-0.03278917074203491,
0.018647268414497375,
-0.07428796589374542,
0.07601256668567657,
-0.05650081858038902,
0.015117047354578972,
-0.020733097568154335,
0.015801841393113136,
-0.03378303721547127,
-0.06286366283893585,
-0.044946081936359406,
-0.038688838481903076,
-0.05935299023985863,
0.03329912945628166,
0.0013658530078828335,
-0.04082489386200905,
0.09378362447023392,
-0.015317241661250591,
-0.006387494970113039,
-0.12034912407398224,
0.02512868493795395,
-0.004000683780759573,
-0.020095888525247574,
-0.06187334284186363,
-0.06529727578163147,
-0.04223708435893059,
0.022670762613415718,
0.035619184374809265,
0.034658126533031464,
-0.034718696027994156,
0.030580909922719002,
-0.0714501440525055,
-0.029263773933053017,
-4.0993446123057575e-34,
0.02444411627948284,
0.05205326899886131,
-0.051486287266016006,
0.05409419536590576,
0.02263108268380165,
0.07630651444196701,
-0.1061769649386406,
-0.036804888397455215,
0.00021830544574186206,
-0.01978704333305359,
-0.06258917599916458,
0.07294077426195145,
0.00036964862374588847,
0.03505663201212883,
0.09034710377454758,
0.05963333323597908,
-0.004433969967067242,
-0.11682386696338654,
0.04475799575448036,
0.03127022087574005,
-0.000561016087885946,
0.0035264799371361732,
-0.003937006462365389,
-0.04693901538848877,
-0.02913169004023075,
-0.01402271818369627,
0.03028281219303608,
0.0018041088478639722,
0.028316067531704903,
-0.10426905006170273,
-0.03876497223973274,
0.06120051071047783,
0.006114701274782419,
0.01663694716989994,
-0.06183377653360367,
-0.08773081749677658,
0.042008284479379654,
0.08066828548908234,
-0.058058641850948334,
-0.012867945246398449,
-0.002512553008273244,
0.04377533867955208,
-0.047987375408411026,
-0.03634754195809364,
-0.03365946188569069,
0.09021446853876114,
-0.013237246312201023,
-0.12300857901573181,
0.025591686367988586,
0.017135201022028923,
-0.04739625006914139,
-0.048512764275074005,
-0.014878722839057446,
0.07375021278858185,
-0.04550904035568237,
0.08396098017692566,
-0.03653915226459503,
0.0671573355793953,
0.025122741237282753,
0.007675549481064081,
0.03334847092628479,
-0.051206525415182114,
0.07706576585769653,
-0.05045915022492409,
-0.01894209161400795,
-0.04252677038311958,
-0.03853929787874222,
0.07841194421052933,
-0.02467546984553337,
-0.011255631223320961,
0.05049452558159828,
0.013785762712359428,
0.07264314591884613,
0.022824915125966072,
-0.06391749531030655,
-0.006701366975903511,
0.08022986352443695,
-0.09278970211744308,
0.023832613602280617,
0.019180115312337875,
-0.08324908465147018,
0.06876716762781143,
-0.05355345457792282,
0.03683535009622574,
0.047675155103206635,
-0.01582435891032219,
-0.06289790570735931,
0.028624750673770905,
0.0006040632724761963,
-0.007406747899949551,
-0.007725305389612913,
-0.04497608542442322,
0.0507390983402729,
-0.07879813760519028,
0.014447774738073349,
-4.248307661214312e-8,
0.009648040868341923,
0.03422985598444939,
0.0012305655982345343,
0.04429496079683304,
-0.0015346788568422198,
0.10630247741937637,
-0.005865119397640228,
0.13661043345928192,
-0.036171406507492065,
-0.02510788105428219,
0.08049174398183823,
0.01815078593790531,
0.09755225479602814,
0.049221478402614594,
0.06187451630830765,
0.018559815362095833,
-0.07622333616018295,
0.03182915598154068,
-0.015785083174705505,
-0.06786517798900604,
0.022449644282460213,
0.04311873018741608,
0.018876967951655388,
-0.000373528222553432,
-0.005456237588077784,
0.006273995153605938,
0.029839035123586655,
0.0032701832242310047,
-0.014066592790186405,
-0.010219961404800415,
-0.08878402411937714,
0.005187584552913904,
0.10541212558746338,
0.037268172949552536,
0.0005865314742550254,
0.007433232385665178,
0.01069954875856638,
0.02554672211408615,
0.011169918812811375,
0.04329648241400719,
-0.007134626619517803,
0.023173140361905098,
-0.0649259015917778,
0.00038630279595963657,
-0.045009225606918335,
0.05591649189591408,
-0.01595919020473957,
0.07441198080778122,
-0.06960470974445343,
0.056067027151584625,
-0.057178933173418045,
0.049038615077733994,
-0.06334853917360306,
-0.025015028193593025,
0.024016136303544044,
-0.006914008874446154,
-0.036635491997003555,
0.02179531566798687,
-0.005868684966117144,
0.042321570217609406,
0.04258282855153084,
-0.03926737979054451,
-0.11428925395011902,
-0.0060323323123157024
] |
1401.7960
|
Jeremy Shears
|
Jeremy Shears, Carl Knight, Martin Lewis, Lee Macdonald, Stewart
Moore, Jeff Young
|
In the footsteps of Ebenezer Porter Mason and his nebulae
|
13 pages, 7 Figures. Accepted for publication in the Journal of the
British Astronomical Association
| null | null | null |
physics.hist-ph astro-ph.IM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In 1839 Ebenezer Porter Mason (1819-1840) produced detailed drawings of the
Omega Nebula (M17), the Trifid Nebula (M20) and the eastern part of the Veil
Nebula (NGC 6992 and 6995). He used a 12-inch (30 cm) reflector that he and his
friends had built at Yale College, which at the time was the largest telescope
in the USA. The drawings were remarkable for their accuracy and for his
adoption of a new technique for delineating gradients in nebulosity using
isophotes, or lines of equal brightness. This paper reviews his life and his
observations, comparing his results with those of the modern amateur
astronomer.
|
[
{
"created": "Thu, 30 Jan 2014 19:18:11 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Shears",
"Jeremy",
""
],
[
"Knight",
"Carl",
""
],
[
"Lewis",
"Martin",
""
],
[
"Macdonald",
"Lee",
""
],
[
"Moore",
"Stewart",
""
],
[
"Young",
"Jeff",
""
]
] |
[
-0.0540950633585453,
0.02931819297373295,
0.054901476949453354,
-0.017181403934955597,
-0.039060160517692566,
-0.07779160141944885,
-0.06574057042598724,
0.0724034309387207,
-0.09884071350097656,
-0.01291508786380291,
-0.029362184926867485,
-0.028682025149464607,
-0.025486130267381668,
-0.008479244075715542,
-0.10251571983098984,
0.005973104387521744,
-0.010463530197739601,
0.03443770483136177,
0.012643950991332531,
-0.0012015640968456864,
-0.032820895314216614,
-0.007604068610817194,
-0.0687473714351654,
-0.04342449828982353,
0.09064534306526184,
0.013031715527176857,
-0.05536515638232231,
-0.029205167666077614,
0.06344227492809296,
-0.004932311363518238,
-0.03717615455389023,
0.0013453223509714007,
-0.046596966683864594,
0.020803604274988174,
0.0013611564645543694,
-0.01540173776447773,
0.09179763495922089,
0.0376584492623806,
-0.014982923865318298,
-0.04639900103211403,
-0.0077300225384533405,
0.02820011042058468,
-0.012788998894393444,
0.026636438444256783,
-0.02957511693239212,
-0.040205568075180054,
-0.01125166192650795,
0.008782347664237022,
-0.0017805040115490556,
0.07564855366945267,
-0.08654109388589859,
-0.06328963488340378,
-0.08533592522144318,
-0.014031732454895973,
0.08828956633806229,
0.03255826234817505,
0.047211796045303345,
-0.12547460198402405,
0.005882503930479288,
-0.06208603084087372,
0.010777861811220646,
-0.02422502264380455,
-0.025653863325715065,
0.004202405456453562,
0.11099816113710403,
0.06839142739772797,
-0.02234562113881111,
-0.08532445877790451,
0.05884853005409241,
0.03796948865056038,
0.012663442641496658,
-0.03923216089606285,
-0.028317805379629135,
-0.009540902450680733,
0.06125250831246376,
0.004607594572007656,
0.01738484762609005,
0.04826287180185318,
-0.025186220183968544,
-0.014227339066565037,
0.001459505409002304,
0.018219608813524246,
-0.0026600854471325874,
0.0830327719449997,
-0.03294508531689644,
-0.06882092356681824,
-0.1162041425704956,
0.04003368318080902,
0.04752569645643234,
-0.02175935171544552,
0.036228764802217484,
0.002444242127239704,
-0.12573856115341187,
0.018056169152259827,
-0.053977541625499725,
0.022101903334259987,
0.001621680217795074,
0.04044350981712341,
-0.025015732273459435,
0.04662739485502243,
0.060714203864336014,
0.039930589497089386,
-0.0068220170214772224,
0.06949160993099213,
-0.002996261464431882,
0.041876427829265594,
0.07133229821920395,
0.04681134596467018,
0.004994712304323912,
0.030409418046474457,
0.06299363821744919,
0.009134836494922638,
-0.07139010727405548,
-0.037603262811899185,
-0.012106630019843578,
-0.00832600798457861,
0.025649309158325195,
0.057676803320646286,
-0.056618064641952515,
0.05312403663992882,
0.05145158991217613,
0.020764274522662163,
-0.031332820653915405,
0.05717765912413597,
-0.02070934697985649,
0.012917439453303814,
0.018455663695931435,
1.4732281288144903e-34,
0.07112067192792892,
0.08414659649133682,
0.03538256883621216,
0.152480810880661,
0.08348521590232849,
0.0776621550321579,
0.0033420873805880547,
0.044707972556352615,
0.00041206725290976465,
-0.061039913445711136,
0.04036952182650566,
0.021920204162597656,
0.0002242931950604543,
0.10729222744703293,
-0.012254131026566029,
0.020526492968201637,
-0.012275048531591892,
-0.030572356656193733,
-0.044918376952409744,
0.020764272660017014,
-0.025767052546143532,
-0.05221721529960632,
-0.008013203740119934,
-0.026797059923410416,
0.033176712691783905,
0.092012919485569,
-0.030626341700553894,
0.028202885761857033,
-0.04277367517352104,
0.03656419366598129,
0.03257429227232933,
0.05371014028787613,
-0.03712046518921852,
0.021813787519931793,
-0.005100845359265804,
-0.040132153779268265,
-0.015454277396202087,
-0.008707240223884583,
0.03896160051226616,
-0.03484363481402397,
0.0006334936479106545,
0.06662558764219284,
0.01830638200044632,
-0.036363594233989716,
-0.007755418308079243,
-0.02410709485411644,
-0.019347157329320908,
0.040953267365694046,
0.10762307047843933,
0.00982250552624464,
0.02776537835597992,
0.03016001731157303,
-0.0510721355676651,
-0.044279396533966064,
0.07486338168382645,
-0.04061748832464218,
-0.026241997256875038,
0.02871440164744854,
-0.009662873111665249,
-0.024441180750727654,
-0.0026740762405097485,
0.05725722387433052,
0.059954095631837845,
0.1688106507062912,
-0.026304394006729126,
0.03806636855006218,
-0.02072792313992977,
0.01675853505730629,
-0.038718707859516144,
0.016818102449178696,
-0.10989741235971451,
0.013113683089613914,
0.035270486027002335,
-0.049999937415122986,
-0.01853770948946476,
-0.05818901211023331,
0.0347476601600647,
0.018436148762702942,
-0.005526529625058174,
-0.014181473292410374,
-0.016258329153060913,
-0.00016315125685650855,
0.025641346350312233,
-0.11823602020740509,
-0.17719176411628723,
-0.003246418433263898,
0.03409888222813606,
0.05227788910269737,
0.0478556789457798,
-0.04460686445236206,
-0.002382659586146474,
0.051577188074588776,
-0.006302130874246359,
-0.02042384259402752,
-0.16396738588809967,
-1.9261661452833542e-33,
-0.03092430904507637,
-0.013622970320284367,
-0.03418422490358353,
0.004648393485695124,
-0.03496954217553139,
0.01738303154706955,
-0.03808598220348358,
0.04818854108452797,
-0.027963241562247276,
0.010990004055202007,
0.09287849068641663,
0.04128457233309746,
-0.08480164408683777,
-0.04574974626302719,
0.0004818094312213361,
0.008479898795485497,
0.027588171884417534,
-0.04613727331161499,
-0.05487668514251709,
-0.1036750078201294,
0.07160469144582748,
-0.0276007279753685,
-0.04117335006594658,
-0.043451111763715744,
-0.049699101597070694,
0.025010377168655396,
0.04613720253109932,
-0.09765903651714325,
-0.0744728222489357,
0.03298336640000343,
-0.05502290278673172,
0.0044027818366885185,
0.02775503322482109,
0.03923778235912323,
-0.02482168935239315,
0.03291939198970795,
0.03834335505962372,
0.04478105902671814,
-0.03698849678039551,
-0.020771948620676994,
0.010656761936843395,
0.0853109285235405,
-0.000033620544854784384,
-0.05955561250448227,
-0.04146770015358925,
-0.014226553030312061,
0.01367312390357256,
0.03029245138168335,
-0.03654997795820236,
0.05156215652823448,
0.0524464026093483,
-0.015375329181551933,
-0.0059476387687027454,
0.04199464991688728,
-0.05299282446503639,
0.05533689260482788,
0.04629450663924217,
0.02088215947151184,
0.039886873215436935,
0.04911865293979645,
0.01062717754393816,
0.051527317613363266,
-0.10440127551555634,
-0.09037528187036514,
0.015696559101343155,
-0.045592863112688065,
-0.01569800078868866,
0.053985267877578735,
-0.04214031621813774,
0.07614225149154663,
0.03516272455453873,
0.01207601185888052,
0.03556515648961067,
0.019575068727135658,
0.0880407840013504,
0.04829082638025284,
0.08658268302679062,
-0.08046998083591461,
-0.0778619572520256,
-0.05110812187194824,
-0.021545590832829475,
-0.0016777105629444122,
0.012073910795152187,
0.08537735790014267,
0.03228436037898064,
-0.023677168413996696,
-0.06519085168838501,
-0.017167406156659126,
-0.009316399693489075,
0.016234789043664932,
0.020419485867023468,
-0.05043528974056244,
-0.04318016767501831,
-0.042989011853933334,
0.10183492302894592,
-4.300252953726158e-8,
0.02015141025185585,
0.014133892022073269,
-0.047061048448085785,
-0.02508639730513096,
-0.06193441525101662,
-0.034020986407995224,
0.08333098888397217,
0.041638873517513275,
-0.031267669051885605,
0.03360423073172569,
0.0255406703799963,
-0.06160712242126465,
-0.03702034801244736,
0.019509820267558098,
0.06769739091396332,
-0.06506619602441788,
0.024251684546470642,
-0.03975909575819969,
-0.09527581930160522,
-0.019377373158931732,
0.01300065778195858,
0.022520583122968674,
0.06173884496092796,
-0.041995029896497726,
-0.04424847289919853,
0.0440438911318779,
0.016954725608229637,
0.048870619386434555,
-0.07441304624080658,
-0.005041168071329594,
-0.11518803238868713,
-0.011309514753520489,
0.013321255333721638,
-0.09298405796289444,
0.0036271843127906322,
0.033448927104473114,
-0.00930310320109129,
-0.027857990935444832,
0.03435037285089493,
0.03661539778113365,
-0.07628842443227768,
-0.023969851434230804,
0.015641871839761734,
0.006099671125411987,
0.0707634836435318,
0.037949107587337494,
-0.00380116980522871,
-0.038758523762226105,
-0.008835439570248127,
0.13100707530975342,
0.03290282189846039,
0.012463859282433987,
0.09617730230093002,
-0.1360999345779419,
-0.13417339324951172,
-0.0056975181214511395,
-0.01843802072107792,
-0.019861258566379547,
-0.015923943370580673,
-0.04982413724064827,
0.12599274516105652,
-0.0019867152441293,
-0.07510396838188171,
-0.007567334454506636
] | null | null | null | null | null | null | null |
[
-0.0540950633585453,
0.02931819297373295,
0.054901476949453354,
-0.017181403934955597,
-0.039060160517692566,
-0.07779160141944885,
-0.06574057042598724,
0.0724034309387207,
-0.09884071350097656,
-0.01291508786380291,
-0.029362184926867485,
-0.028682025149464607,
-0.025486130267381668,
-0.008479244075715542,
-0.10251571983098984,
0.005973104387521744,
-0.010463530197739601,
0.03443770483136177,
0.012643950991332531,
-0.0012015640968456864,
-0.032820895314216614,
-0.007604068610817194,
-0.0687473714351654,
-0.04342449828982353,
0.09064534306526184,
0.013031715527176857,
-0.05536515638232231,
-0.029205167666077614,
0.06344227492809296,
-0.004932311363518238,
-0.03717615455389023,
0.0013453223509714007,
-0.046596966683864594,
0.020803604274988174,
0.0013611564645543694,
-0.01540173776447773,
0.09179763495922089,
0.0376584492623806,
-0.014982923865318298,
-0.04639900103211403,
-0.0077300225384533405,
0.02820011042058468,
-0.012788998894393444,
0.026636438444256783,
-0.02957511693239212,
-0.040205568075180054,
-0.01125166192650795,
0.008782347664237022,
-0.0017805040115490556,
0.07564855366945267,
-0.08654109388589859,
-0.06328963488340378,
-0.08533592522144318,
-0.014031732454895973,
0.08828956633806229,
0.03255826234817505,
0.047211796045303345,
-0.12547460198402405,
0.005882503930479288,
-0.06208603084087372,
0.010777861811220646,
-0.02422502264380455,
-0.025653863325715065,
0.004202405456453562,
0.11099816113710403,
0.06839142739772797,
-0.02234562113881111,
-0.08532445877790451,
0.05884853005409241,
0.03796948865056038,
0.012663442641496658,
-0.03923216089606285,
-0.028317805379629135,
-0.009540902450680733,
0.06125250831246376,
0.004607594572007656,
0.01738484762609005,
0.04826287180185318,
-0.025186220183968544,
-0.014227339066565037,
0.001459505409002304,
0.018219608813524246,
-0.0026600854471325874,
0.0830327719449997,
-0.03294508531689644,
-0.06882092356681824,
-0.1162041425704956,
0.04003368318080902,
0.04752569645643234,
-0.02175935171544552,
0.036228764802217484,
0.002444242127239704,
-0.12573856115341187,
0.018056169152259827,
-0.053977541625499725,
0.022101903334259987,
0.001621680217795074,
0.04044350981712341,
-0.025015732273459435,
0.04662739485502243,
0.060714203864336014,
0.039930589497089386,
-0.0068220170214772224,
0.06949160993099213,
-0.002996261464431882,
0.041876427829265594,
0.07133229821920395,
0.04681134596467018,
0.004994712304323912,
0.030409418046474457,
0.06299363821744919,
0.009134836494922638,
-0.07139010727405548,
-0.037603262811899185,
-0.012106630019843578,
-0.00832600798457861,
0.025649309158325195,
0.057676803320646286,
-0.056618064641952515,
0.05312403663992882,
0.05145158991217613,
0.020764274522662163,
-0.031332820653915405,
0.05717765912413597,
-0.02070934697985649,
0.012917439453303814,
0.018455663695931435,
1.4732281288144903e-34,
0.07112067192792892,
0.08414659649133682,
0.03538256883621216,
0.152480810880661,
0.08348521590232849,
0.0776621550321579,
0.0033420873805880547,
0.044707972556352615,
0.00041206725290976465,
-0.061039913445711136,
0.04036952182650566,
0.021920204162597656,
0.0002242931950604543,
0.10729222744703293,
-0.012254131026566029,
0.020526492968201637,
-0.012275048531591892,
-0.030572356656193733,
-0.044918376952409744,
0.020764272660017014,
-0.025767052546143532,
-0.05221721529960632,
-0.008013203740119934,
-0.026797059923410416,
0.033176712691783905,
0.092012919485569,
-0.030626341700553894,
0.028202885761857033,
-0.04277367517352104,
0.03656419366598129,
0.03257429227232933,
0.05371014028787613,
-0.03712046518921852,
0.021813787519931793,
-0.005100845359265804,
-0.040132153779268265,
-0.015454277396202087,
-0.008707240223884583,
0.03896160051226616,
-0.03484363481402397,
0.0006334936479106545,
0.06662558764219284,
0.01830638200044632,
-0.036363594233989716,
-0.007755418308079243,
-0.02410709485411644,
-0.019347157329320908,
0.040953267365694046,
0.10762307047843933,
0.00982250552624464,
0.02776537835597992,
0.03016001731157303,
-0.0510721355676651,
-0.044279396533966064,
0.07486338168382645,
-0.04061748832464218,
-0.026241997256875038,
0.02871440164744854,
-0.009662873111665249,
-0.024441180750727654,
-0.0026740762405097485,
0.05725722387433052,
0.059954095631837845,
0.1688106507062912,
-0.026304394006729126,
0.03806636855006218,
-0.02072792313992977,
0.01675853505730629,
-0.038718707859516144,
0.016818102449178696,
-0.10989741235971451,
0.013113683089613914,
0.035270486027002335,
-0.049999937415122986,
-0.01853770948946476,
-0.05818901211023331,
0.0347476601600647,
0.018436148762702942,
-0.005526529625058174,
-0.014181473292410374,
-0.016258329153060913,
-0.00016315125685650855,
0.025641346350312233,
-0.11823602020740509,
-0.17719176411628723,
-0.003246418433263898,
0.03409888222813606,
0.05227788910269737,
0.0478556789457798,
-0.04460686445236206,
-0.002382659586146474,
0.051577188074588776,
-0.006302130874246359,
-0.02042384259402752,
-0.16396738588809967,
-1.9261661452833542e-33,
-0.03092430904507637,
-0.013622970320284367,
-0.03418422490358353,
0.004648393485695124,
-0.03496954217553139,
0.01738303154706955,
-0.03808598220348358,
0.04818854108452797,
-0.027963241562247276,
0.010990004055202007,
0.09287849068641663,
0.04128457233309746,
-0.08480164408683777,
-0.04574974626302719,
0.0004818094312213361,
0.008479898795485497,
0.027588171884417534,
-0.04613727331161499,
-0.05487668514251709,
-0.1036750078201294,
0.07160469144582748,
-0.0276007279753685,
-0.04117335006594658,
-0.043451111763715744,
-0.049699101597070694,
0.025010377168655396,
0.04613720253109932,
-0.09765903651714325,
-0.0744728222489357,
0.03298336640000343,
-0.05502290278673172,
0.0044027818366885185,
0.02775503322482109,
0.03923778235912323,
-0.02482168935239315,
0.03291939198970795,
0.03834335505962372,
0.04478105902671814,
-0.03698849678039551,
-0.020771948620676994,
0.010656761936843395,
0.0853109285235405,
-0.000033620544854784384,
-0.05955561250448227,
-0.04146770015358925,
-0.014226553030312061,
0.01367312390357256,
0.03029245138168335,
-0.03654997795820236,
0.05156215652823448,
0.0524464026093483,
-0.015375329181551933,
-0.0059476387687027454,
0.04199464991688728,
-0.05299282446503639,
0.05533689260482788,
0.04629450663924217,
0.02088215947151184,
0.039886873215436935,
0.04911865293979645,
0.01062717754393816,
0.051527317613363266,
-0.10440127551555634,
-0.09037528187036514,
0.015696559101343155,
-0.045592863112688065,
-0.01569800078868866,
0.053985267877578735,
-0.04214031621813774,
0.07614225149154663,
0.03516272455453873,
0.01207601185888052,
0.03556515648961067,
0.019575068727135658,
0.0880407840013504,
0.04829082638025284,
0.08658268302679062,
-0.08046998083591461,
-0.0778619572520256,
-0.05110812187194824,
-0.021545590832829475,
-0.0016777105629444122,
0.012073910795152187,
0.08537735790014267,
0.03228436037898064,
-0.023677168413996696,
-0.06519085168838501,
-0.017167406156659126,
-0.009316399693489075,
0.016234789043664932,
0.020419485867023468,
-0.05043528974056244,
-0.04318016767501831,
-0.042989011853933334,
0.10183492302894592,
-4.300252953726158e-8,
0.02015141025185585,
0.014133892022073269,
-0.047061048448085785,
-0.02508639730513096,
-0.06193441525101662,
-0.034020986407995224,
0.08333098888397217,
0.041638873517513275,
-0.031267669051885605,
0.03360423073172569,
0.0255406703799963,
-0.06160712242126465,
-0.03702034801244736,
0.019509820267558098,
0.06769739091396332,
-0.06506619602441788,
0.024251684546470642,
-0.03975909575819969,
-0.09527581930160522,
-0.019377373158931732,
0.01300065778195858,
0.022520583122968674,
0.06173884496092796,
-0.041995029896497726,
-0.04424847289919853,
0.0440438911318779,
0.016954725608229637,
0.048870619386434555,
-0.07441304624080658,
-0.005041168071329594,
-0.11518803238868713,
-0.011309514753520489,
0.013321255333721638,
-0.09298405796289444,
0.0036271843127906322,
0.033448927104473114,
-0.00930310320109129,
-0.027857990935444832,
0.03435037285089493,
0.03661539778113365,
-0.07628842443227768,
-0.023969851434230804,
0.015641871839761734,
0.006099671125411987,
0.0707634836435318,
0.037949107587337494,
-0.00380116980522871,
-0.038758523762226105,
-0.008835439570248127,
0.13100707530975342,
0.03290282189846039,
0.012463859282433987,
0.09617730230093002,
-0.1360999345779419,
-0.13417339324951172,
-0.0056975181214511395,
-0.01843802072107792,
-0.019861258566379547,
-0.015923943370580673,
-0.04982413724064827,
0.12599274516105652,
-0.0019867152441293,
-0.07510396838188171,
-0.007567334454506636
] |
1401.7962
|
Cornelia Victoria Anghel Drugarin
|
Anghel Drugarin, Cornelia Victoria
|
Numerical application and Turbo C program using the Gauss-Jordan Method
|
in Romanian
|
Algebra liniara. Programare liniara, vol.1, Eftimie Murgu,Press
Resita (2003). AGIR Press, vol.22, 2012, pp.171-176
| null | null |
cs.MS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The article presents the general notions and algorithm about the Gauss-Jordan
method. An eloquent example is given and the Turbo C program illustrated this
method. We conclude that we can obtain by this method the determinant, by
simple calculations and reducing the rounding errors
|
[
{
"created": "Wed, 29 Jan 2014 10:44:45 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Drugarin",
"Anghel",
""
],
[
"Victoria",
"Cornelia",
""
]
] |
[
-0.06611666828393936,
0.08364525437355042,
-0.027035919949412346,
-0.05028141289949417,
-0.006973664276301861,
-0.026694776490330696,
-0.02444404922425747,
-0.023206764832139015,
-0.07127837836742401,
0.004793534521013498,
0.0990564152598381,
0.09751077741384506,
0.07113620638847351,
-0.06007211282849312,
-0.11145070195198059,
-0.09364783018827438,
-0.021219484508037567,
0.035877179354429245,
0.0025563682429492474,
-0.007539724465459585,
-0.051322195678949356,
0.006396501325070858,
-0.08128715306520462,
-0.03676139563322067,
0.1076016053557396,
0.005459098611027002,
0.04329124093055725,
0.05949515849351883,
0.006409821566194296,
-0.036164429038763046,
0.0035378090105950832,
0.05860532447695732,
0.057573676109313965,
-0.014145414344966412,
-0.09615617990493774,
-0.026906492188572884,
0.028258752077817917,
0.1106354296207428,
0.014153076335787773,
0.07737544178962708,
0.015497524291276932,
0.026509972289204597,
0.0011394870234653354,
0.06542949378490448,
0.07597633451223373,
0.01912195235490799,
-0.03565504029393196,
-0.07352349162101746,
0.04311781004071236,
-0.03316387161612511,
-0.01817750744521618,
0.06958193331956863,
0.03702252730727196,
0.0017614082898944616,
0.04010716453194618,
-0.21173131465911865,
-0.01785130612552166,
-0.04331899434328079,
0.014359280467033386,
0.056642595678567886,
0.05228128284215927,
-0.011254065670073032,
-0.05254824087023735,
-0.03417651727795601,
0.07059430330991745,
-0.03479088470339775,
0.04720836877822876,
-0.09810413420200348,
-0.07493368536233902,
-0.011648627929389477,
-0.08769850432872772,
0.011812953278422356,
-0.06754855811595917,
-0.02123078517615795,
-0.04715586081147194,
-0.008558893576264381,
-0.03726862743496895,
-0.014991232194006443,
-0.04294634237885475,
0.11910643428564072,
-0.000514464161824435,
0.010318811982870102,
0.0017293570563197136,
-0.06369870901107788,
-0.012398293241858482,
-0.024280639365315437,
-0.06569506227970123,
0.01336328499019146,
0.1412729024887085,
-0.008702629245817661,
0.08223593980073929,
-0.02169172279536724,
0.0009400661219842732,
-0.09251163899898529,
-0.04902634769678116,
0.024738872423768044,
0.04678579792380333,
-0.0026101882103830576,
0.06132372096180916,
0.046001192182302475,
-0.007600866723805666,
-0.05757255479693413,
-0.007763681933283806,
-0.013069041073322296,
0.018887797370553017,
0.04153071716427803,
0.02914995513856411,
0.07746695727109909,
0.012700130231678486,
-0.07536591589450836,
0.007210327312350273,
-0.06608124822378159,
-0.04046820104122162,
-0.02579987794160843,
0.037329915910959244,
0.020524559542536736,
0.04338441789150238,
0.002746418584138155,
0.07957887649536133,
-0.037668291479349136,
0.03180723264813423,
0.03727807104587555,
0.10352449119091034,
0.053460270166397095,
-0.013340724632143974,
0.06677499413490295,
-0.09765505790710449,
-1.4630325749899042e-33,
-0.002956345211714506,
0.04623847082257271,
0.03910847753286362,
0.003108080942183733,
-0.1047588363289833,
0.033438775688409805,
0.028544623404741287,
-0.027499841526150703,
0.024625057354569435,
0.015566812828183174,
-0.041483428329229355,
0.03696653991937637,
0.031265296041965485,
-0.015158770605921745,
-0.028330018743872643,
0.06735864281654358,
-0.034886427223682404,
-0.03320029005408287,
-0.010822061449289322,
-0.02637183479964733,
0.1469489485025406,
-0.010871635749936104,
0.12065144628286362,
-0.06116914376616478,
0.001359904301352799,
-0.023533353582024574,
0.00084821687778458,
-0.08105893433094025,
0.007865588180720806,
0.025281768292188644,
0.031588438898324966,
-0.00757800554856658,
-0.08347171545028687,
0.025146665051579475,
0.06922183930873871,
-0.029607463628053665,
0.008256268687546253,
0.017261872068047523,
0.06426765024662018,
-0.055000197142362595,
-0.031176883727312088,
-0.004278154112398624,
0.03748546168208122,
-0.049887340515851974,
-0.03339627385139465,
0.052081864327192307,
-0.00031979454797692597,
0.05659545958042145,
0.09036871790885925,
0.08860491961240768,
-0.02542266435921192,
-0.014930358156561852,
-0.022941453382372856,
0.07786252349615097,
-0.03789931908249855,
0.04619671404361725,
-0.015726853162050247,
-0.0026419234927743673,
0.0036270536947995424,
0.03936702758073807,
0.018046250566840172,
0.05289939045906067,
-0.025572728365659714,
-0.05342760682106018,
-0.008622188121080399,
0.01925026997923851,
-0.0701713040471077,
-0.04946240037679672,
0.014371518045663834,
0.07255060225725174,
-0.024211494252085686,
0.039341796189546585,
0.028834713622927666,
-0.0004217514651827514,
-0.009680941700935364,
-0.08811837434768677,
0.034839168190956116,
-0.013984539546072483,
-0.007419644854962826,
-0.0892464891076088,
-0.08212181180715561,
0.08312070369720459,
0.023793499916791916,
-0.01640641689300537,
-0.022946396842598915,
-0.04671506583690643,
-0.09542099386453629,
0.010732289403676987,
-0.09182337671518326,
-0.12166836112737656,
-0.08893215656280518,
0.04669049754738808,
0.03887176141142845,
0.04236515238881111,
0.018553363159298897,
1.170091094611462e-34,
0.047436539083719254,
-0.040294162929058075,
0.028700033202767372,
0.017880495637655258,
0.009734203107655048,
-0.06526686996221542,
0.036134909838438034,
-0.08663854748010635,
-0.041666995733976364,
-0.025228645652532578,
-0.02799232304096222,
0.02267882227897644,
0.0016321720322594047,
0.10971184819936752,
0.140909805893898,
-0.012061607092618942,
-0.05141187831759453,
0.0008771619177423418,
-0.0333244763314724,
-0.04788365215063095,
-0.033500202000141144,
0.039740029722452164,
0.023781942203640938,
-0.047161076217889786,
-0.027859991416335106,
-0.06234724819660187,
0.031403955072164536,
0.009773611091077328,
0.010419937781989574,
0.008245455101132393,
-0.05278337001800537,
0.008566631935536861,
-0.033070437610149384,
0.01988966017961502,
-0.014324222691357136,
0.04814763367176056,
0.02311825007200241,
0.020198265090584755,
0.019179364666342735,
0.030627630650997162,
0.0022604851983487606,
-0.004302897024899721,
0.004183878190815449,
-0.05358431488275528,
0.023838991299271584,
0.10685168951749802,
0.015914322808384895,
0.05630671977996826,
-0.008985034190118313,
-0.015720808878540993,
0.05250737443566322,
-0.022976085543632507,
-0.03709505498409271,
0.09993549436330795,
0.003358112880960107,
0.10216828435659409,
0.007015463896095753,
0.06250709295272827,
0.07020845264196396,
0.029141156002879143,
-0.06641844660043716,
0.0024502775631844997,
0.022180279716849327,
-0.07133045047521591,
-0.0008039406384341419,
0.020480580627918243,
-0.008381432853639126,
0.012295017950236797,
-0.04026438295841217,
0.013988367281854153,
-0.004559417720884085,
-0.029513385146856308,
0.05055827274918556,
0.015443123877048492,
-0.042063891887664795,
-0.05122140049934387,
-0.016967685893177986,
-0.03876557946205139,
0.0025568159762769938,
0.0022405958734452724,
0.027455905452370644,
0.003924920689314604,
-0.003905486548319459,
0.010174140334129333,
0.011185206472873688,
0.02060554176568985,
0.04648205637931824,
-0.07417870312929153,
0.016423175111413002,
-0.04560057446360588,
-0.018904652446508408,
0.06197013333439827,
0.058645084500312805,
0.04769425466656685,
-0.03284087032079697,
-3.0576444487451226e-8,
0.02606845647096634,
-0.07648278772830963,
-0.03308716416358948,
0.021548578515648842,
0.07704856991767883,
-0.013407131657004356,
-0.0286086518317461,
-0.012077677994966507,
-0.02183844894170761,
-0.08371671289205551,
0.07599063217639923,
-0.005518668796867132,
-0.003879162948578596,
0.01720033586025238,
0.013682934455573559,
0.042170893400907516,
-0.07888954132795334,
0.0197750274091959,
-0.04681720957159996,
-0.061178501695394516,
-0.02826565131545067,
-0.027191447094082832,
-0.09972890466451645,
0.011678657494485378,
-0.008693693205714226,
-0.0029582565184682608,
-0.06378889828920364,
0.03846419230103493,
0.08261223137378693,
-0.005679277237504721,
0.011057010851800442,
0.06746269017457962,
0.07215345650911331,
0.0002174472901970148,
-0.013125017285346985,
0.05770402029156685,
0.04846600443124771,
0.01152181625366211,
0.002978729084134102,
-0.007096906658262014,
-0.04478449001908302,
0.06466738879680634,
-0.042440857738256454,
-0.0666939839720726,
0.059542011469602585,
0.06261895596981049,
0.006963447201997042,
-0.04961154982447624,
-0.039063774049282074,
0.07223666459321976,
-0.024224692955613136,
0.06519606709480286,
-0.017278695479035378,
0.06693018227815628,
-0.0056062135845422745,
-0.121278315782547,
-0.037105053663253784,
-0.13461868464946747,
0.09765360504388809,
-0.006253662519156933,
0.015970533713698387,
0.04690323770046234,
0.017303692176938057,
0.06207677349448204
] | null | null | null | null | null | null | null |
[
-0.06611666828393936,
0.08364525437355042,
-0.027035919949412346,
-0.05028141289949417,
-0.006973664276301861,
-0.026694776490330696,
-0.02444404922425747,
-0.023206764832139015,
-0.07127837836742401,
0.004793534521013498,
0.0990564152598381,
0.09751077741384506,
0.07113620638847351,
-0.06007211282849312,
-0.11145070195198059,
-0.09364783018827438,
-0.021219484508037567,
0.035877179354429245,
0.0025563682429492474,
-0.007539724465459585,
-0.051322195678949356,
0.006396501325070858,
-0.08128715306520462,
-0.03676139563322067,
0.1076016053557396,
0.005459098611027002,
0.04329124093055725,
0.05949515849351883,
0.006409821566194296,
-0.036164429038763046,
0.0035378090105950832,
0.05860532447695732,
0.057573676109313965,
-0.014145414344966412,
-0.09615617990493774,
-0.026906492188572884,
0.028258752077817917,
0.1106354296207428,
0.014153076335787773,
0.07737544178962708,
0.015497524291276932,
0.026509972289204597,
0.0011394870234653354,
0.06542949378490448,
0.07597633451223373,
0.01912195235490799,
-0.03565504029393196,
-0.07352349162101746,
0.04311781004071236,
-0.03316387161612511,
-0.01817750744521618,
0.06958193331956863,
0.03702252730727196,
0.0017614082898944616,
0.04010716453194618,
-0.21173131465911865,
-0.01785130612552166,
-0.04331899434328079,
0.014359280467033386,
0.056642595678567886,
0.05228128284215927,
-0.011254065670073032,
-0.05254824087023735,
-0.03417651727795601,
0.07059430330991745,
-0.03479088470339775,
0.04720836877822876,
-0.09810413420200348,
-0.07493368536233902,
-0.011648627929389477,
-0.08769850432872772,
0.011812953278422356,
-0.06754855811595917,
-0.02123078517615795,
-0.04715586081147194,
-0.008558893576264381,
-0.03726862743496895,
-0.014991232194006443,
-0.04294634237885475,
0.11910643428564072,
-0.000514464161824435,
0.010318811982870102,
0.0017293570563197136,
-0.06369870901107788,
-0.012398293241858482,
-0.024280639365315437,
-0.06569506227970123,
0.01336328499019146,
0.1412729024887085,
-0.008702629245817661,
0.08223593980073929,
-0.02169172279536724,
0.0009400661219842732,
-0.09251163899898529,
-0.04902634769678116,
0.024738872423768044,
0.04678579792380333,
-0.0026101882103830576,
0.06132372096180916,
0.046001192182302475,
-0.007600866723805666,
-0.05757255479693413,
-0.007763681933283806,
-0.013069041073322296,
0.018887797370553017,
0.04153071716427803,
0.02914995513856411,
0.07746695727109909,
0.012700130231678486,
-0.07536591589450836,
0.007210327312350273,
-0.06608124822378159,
-0.04046820104122162,
-0.02579987794160843,
0.037329915910959244,
0.020524559542536736,
0.04338441789150238,
0.002746418584138155,
0.07957887649536133,
-0.037668291479349136,
0.03180723264813423,
0.03727807104587555,
0.10352449119091034,
0.053460270166397095,
-0.013340724632143974,
0.06677499413490295,
-0.09765505790710449,
-1.4630325749899042e-33,
-0.002956345211714506,
0.04623847082257271,
0.03910847753286362,
0.003108080942183733,
-0.1047588363289833,
0.033438775688409805,
0.028544623404741287,
-0.027499841526150703,
0.024625057354569435,
0.015566812828183174,
-0.041483428329229355,
0.03696653991937637,
0.031265296041965485,
-0.015158770605921745,
-0.028330018743872643,
0.06735864281654358,
-0.034886427223682404,
-0.03320029005408287,
-0.010822061449289322,
-0.02637183479964733,
0.1469489485025406,
-0.010871635749936104,
0.12065144628286362,
-0.06116914376616478,
0.001359904301352799,
-0.023533353582024574,
0.00084821687778458,
-0.08105893433094025,
0.007865588180720806,
0.025281768292188644,
0.031588438898324966,
-0.00757800554856658,
-0.08347171545028687,
0.025146665051579475,
0.06922183930873871,
-0.029607463628053665,
0.008256268687546253,
0.017261872068047523,
0.06426765024662018,
-0.055000197142362595,
-0.031176883727312088,
-0.004278154112398624,
0.03748546168208122,
-0.049887340515851974,
-0.03339627385139465,
0.052081864327192307,
-0.00031979454797692597,
0.05659545958042145,
0.09036871790885925,
0.08860491961240768,
-0.02542266435921192,
-0.014930358156561852,
-0.022941453382372856,
0.07786252349615097,
-0.03789931908249855,
0.04619671404361725,
-0.015726853162050247,
-0.0026419234927743673,
0.0036270536947995424,
0.03936702758073807,
0.018046250566840172,
0.05289939045906067,
-0.025572728365659714,
-0.05342760682106018,
-0.008622188121080399,
0.01925026997923851,
-0.0701713040471077,
-0.04946240037679672,
0.014371518045663834,
0.07255060225725174,
-0.024211494252085686,
0.039341796189546585,
0.028834713622927666,
-0.0004217514651827514,
-0.009680941700935364,
-0.08811837434768677,
0.034839168190956116,
-0.013984539546072483,
-0.007419644854962826,
-0.0892464891076088,
-0.08212181180715561,
0.08312070369720459,
0.023793499916791916,
-0.01640641689300537,
-0.022946396842598915,
-0.04671506583690643,
-0.09542099386453629,
0.010732289403676987,
-0.09182337671518326,
-0.12166836112737656,
-0.08893215656280518,
0.04669049754738808,
0.03887176141142845,
0.04236515238881111,
0.018553363159298897,
1.170091094611462e-34,
0.047436539083719254,
-0.040294162929058075,
0.028700033202767372,
0.017880495637655258,
0.009734203107655048,
-0.06526686996221542,
0.036134909838438034,
-0.08663854748010635,
-0.041666995733976364,
-0.025228645652532578,
-0.02799232304096222,
0.02267882227897644,
0.0016321720322594047,
0.10971184819936752,
0.140909805893898,
-0.012061607092618942,
-0.05141187831759453,
0.0008771619177423418,
-0.0333244763314724,
-0.04788365215063095,
-0.033500202000141144,
0.039740029722452164,
0.023781942203640938,
-0.047161076217889786,
-0.027859991416335106,
-0.06234724819660187,
0.031403955072164536,
0.009773611091077328,
0.010419937781989574,
0.008245455101132393,
-0.05278337001800537,
0.008566631935536861,
-0.033070437610149384,
0.01988966017961502,
-0.014324222691357136,
0.04814763367176056,
0.02311825007200241,
0.020198265090584755,
0.019179364666342735,
0.030627630650997162,
0.0022604851983487606,
-0.004302897024899721,
0.004183878190815449,
-0.05358431488275528,
0.023838991299271584,
0.10685168951749802,
0.015914322808384895,
0.05630671977996826,
-0.008985034190118313,
-0.015720808878540993,
0.05250737443566322,
-0.022976085543632507,
-0.03709505498409271,
0.09993549436330795,
0.003358112880960107,
0.10216828435659409,
0.007015463896095753,
0.06250709295272827,
0.07020845264196396,
0.029141156002879143,
-0.06641844660043716,
0.0024502775631844997,
0.022180279716849327,
-0.07133045047521591,
-0.0008039406384341419,
0.020480580627918243,
-0.008381432853639126,
0.012295017950236797,
-0.04026438295841217,
0.013988367281854153,
-0.004559417720884085,
-0.029513385146856308,
0.05055827274918556,
0.015443123877048492,
-0.042063891887664795,
-0.05122140049934387,
-0.016967685893177986,
-0.03876557946205139,
0.0025568159762769938,
0.0022405958734452724,
0.027455905452370644,
0.003924920689314604,
-0.003905486548319459,
0.010174140334129333,
0.011185206472873688,
0.02060554176568985,
0.04648205637931824,
-0.07417870312929153,
0.016423175111413002,
-0.04560057446360588,
-0.018904652446508408,
0.06197013333439827,
0.058645084500312805,
0.04769425466656685,
-0.03284087032079697,
-3.0576444487451226e-8,
0.02606845647096634,
-0.07648278772830963,
-0.03308716416358948,
0.021548578515648842,
0.07704856991767883,
-0.013407131657004356,
-0.0286086518317461,
-0.012077677994966507,
-0.02183844894170761,
-0.08371671289205551,
0.07599063217639923,
-0.005518668796867132,
-0.003879162948578596,
0.01720033586025238,
0.013682934455573559,
0.042170893400907516,
-0.07888954132795334,
0.0197750274091959,
-0.04681720957159996,
-0.061178501695394516,
-0.02826565131545067,
-0.027191447094082832,
-0.09972890466451645,
0.011678657494485378,
-0.008693693205714226,
-0.0029582565184682608,
-0.06378889828920364,
0.03846419230103493,
0.08261223137378693,
-0.005679277237504721,
0.011057010851800442,
0.06746269017457962,
0.07215345650911331,
0.0002174472901970148,
-0.013125017285346985,
0.05770402029156685,
0.04846600443124771,
0.01152181625366211,
0.002978729084134102,
-0.007096906658262014,
-0.04478449001908302,
0.06466738879680634,
-0.042440857738256454,
-0.0666939839720726,
0.059542011469602585,
0.06261895596981049,
0.006963447201997042,
-0.04961154982447624,
-0.039063774049282074,
0.07223666459321976,
-0.024224692955613136,
0.06519606709480286,
-0.017278695479035378,
0.06693018227815628,
-0.0056062135845422745,
-0.121278315782547,
-0.037105053663253784,
-0.13461868464946747,
0.09765360504388809,
-0.006253662519156933,
0.015970533713698387,
0.04690323770046234,
0.017303692176938057,
0.06207677349448204
] |
1401.7970
|
David Malec
|
Erik D. Demaine, MohammadTaghi Hajiaghayi, Hamid Mahini, David L.
Malec, S. Raghavan, Anshul Sawant, Morteza Zadimoghadam
|
How to Influence People with Partial Incentives
| null | null | null | null |
cs.GT cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the power of fractional allocations of resources to maximize
influence in a network. This work extends in a natural way the well-studied
model by Kempe, Kleinberg, and Tardos (2003), where a designer selects a
(small) seed set of nodes in a social network to influence directly, this
influence cascades when other nodes reach certain thresholds of neighbor
influence, and the goal is to maximize the final number of influenced nodes.
Despite extensive study from both practical and theoretical viewpoints, this
model limits the designer to a binary choice for each node, with no way to
apply intermediate levels of influence. This model captures some settings
precisely, e.g. exposure to an idea or pathogen, but it fails to capture very
relevant concerns in others, for example, a manufacturer promoting a new
product by distributing five "20% off" coupons instead of giving away one free
product.
While fractional versions of problems tend to be easier to solve than
integral versions, for influence maximization, we show that the two versions
have essentially the same computational complexity. On the other hand, the two
versions can have vastly different solutions: the added flexibility of
fractional allocation can lead to significantly improved influence. Our main
theoretical contribution is to show how to adapt the major positive results
from the integral case to the fractional case. Specifically, Mossel and Roch
(2006) used the submodularity of influence to obtain their integral results; we
introduce a new notion of continuous submodularity, and use this to obtain
matching fractional results. We conclude that we can achieve the same greedy
$(1-1/e-\epsilon)$-approximation for the fractional case as the integral case.
In practice, we find that the fractional model performs substantially better
than the integral model, according to simulations on real-world social network
data.
|
[
{
"created": "Thu, 30 Jan 2014 20:09:12 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Demaine",
"Erik D.",
""
],
[
"Hajiaghayi",
"MohammadTaghi",
""
],
[
"Mahini",
"Hamid",
""
],
[
"Malec",
"David L.",
""
],
[
"Raghavan",
"S.",
""
],
[
"Sawant",
"Anshul",
""
],
[
"Zadimoghadam",
"Morteza",
""
]
] |
[
-0.014532730914652348,
0.02020915411412716,
-0.0036227661184966564,
0.004457157105207443,
0.0840311050415039,
-0.028082353994250298,
0.003994144964963198,
0.02590605430305004,
0.08216165751218796,
0.05174994468688965,
-0.04742218181490898,
0.029264133423566818,
0.10210230946540833,
0.005007085390388966,
-0.002767197322100401,
0.04443160817027092,
0.06887450814247131,
0.03691527247428894,
-0.11556237190961838,
-0.02455081418156624,
0.005470003467053175,
-0.09168064594268799,
0.02232692576944828,
-0.04181273281574249,
0.01501170638948679,
-0.057851340621709824,
-0.007695317734032869,
-0.008774981833994389,
0.043299753218889236,
-0.07229882478713989,
0.033117737621068954,
0.05523472651839256,
0.016076164320111275,
-0.014740290120244026,
-0.05658208951354027,
0.0116498451679945,
-0.0034322005230933428,
-0.032995715737342834,
0.029985684901475906,
0.055392976850271225,
0.05017730966210365,
0.03566731885075569,
-0.03583680838346481,
0.05918753147125244,
-0.05383552610874176,
-0.016675956547260284,
-0.0017089468892663717,
0.1344691812992096,
-0.04205848649144173,
-0.030323758721351624,
-0.017290150746703148,
-0.04988575726747513,
-0.0449199303984642,
0.005552574992179871,
0.0073982104659080505,
-0.0696600154042244,
-0.01572543755173683,
-0.034473393112421036,
-0.026388399302959442,
-0.0371527336537838,
0.03817986324429512,
-0.07736724615097046,
-0.06322439759969711,
-0.037262145429849625,
0.025647807866334915,
0.02536407671868801,
-0.04988643527030945,
0.11323463171720505,
-0.12314586341381073,
0.0346953384578228,
0.15769541263580322,
-0.027968868613243103,
-0.07956501096487045,
-0.0029614551458507776,
0.09132762998342514,
0.01389977615326643,
0.02419082634150982,
0.0042409575544297695,
-0.02219553105533123,
0.003447899129241705,
-0.03700704872608185,
-0.029415937140583992,
0.019933387637138367,
-0.013806682080030441,
0.014384536072611809,
-0.0466761477291584,
0.05700062960386276,
-0.025715714320540428,
0.1412353515625,
0.06940346211194992,
-0.06653600931167603,
0.08985493332147598,
0.013841461390256882,
-0.057734131813049316,
0.006552327424287796,
0.006504382006824017,
0.02448415569961071,
-0.05191296339035034,
0.009836804121732712,
0.10035713016986847,
-0.05009864270687103,
-0.020407961681485176,
0.0064653814770281315,
-0.058819662779569626,
0.08058623224496841,
-0.06111352890729904,
-0.03665774315595627,
0.08206790685653687,
0.05322883650660515,
0.050810880959033966,
-0.07957953959703445,
0.079734206199646,
-0.019392332062125206,
0.047177162021398544,
0.03937223181128502,
-0.11807039380073547,
0.08408594876527786,
0.02871614322066307,
-0.035942137241363525,
-0.059323862195014954,
0.06726617366075516,
-0.014255492016673088,
0.05572034791111946,
-0.033332739025354385,
-0.01959242857992649,
0.038259658962488174,
-0.06526755541563034,
1.5294902501395961e-33,
-0.013166328892111778,
-0.018496442586183548,
0.015820175409317017,
0.027946580201387405,
0.11003954708576202,
0.028484854847192764,
-0.024159204214811325,
-0.013508745469152927,
-0.053225938230752945,
0.019981184974312782,
-0.06444858014583588,
0.07515304535627365,
0.06368183344602585,
0.04358895868062973,
0.08680292963981628,
-0.050255388021469116,
0.020282115787267685,
0.05154555290937424,
0.02556385099887848,
-0.11593746393918991,
-0.012666173279285431,
-0.06398187577724457,
0.0005214012344367802,
0.019400659948587418,
-0.008886164985597134,
-0.06962159276008606,
-0.044039852917194366,
0.02266800031065941,
0.0688994899392128,
-0.015395285561680794,
-0.036207325756549835,
0.06881079077720642,
0.07861053198575974,
-0.06125466525554657,
-0.026766972616314888,
0.08137436211109161,
-0.013863183557987213,
-0.06787986308336258,
0.04564322158694267,
-0.04171760007739067,
-0.07576677203178406,
0.031365908682346344,
0.04721889644861221,
0.010924571193754673,
-0.07574322819709778,
0.03406735509634018,
0.030045801773667336,
-0.0007513109012506902,
-0.10279454290866852,
-0.05489729717373848,
0.007919695228338242,
0.007353224791586399,
0.09436396509408951,
-0.00012073998368578032,
-0.011563921347260475,
-0.04517935961484909,
-0.021640107035636902,
0.0030949441716074944,
-0.004409800283610821,
0.031344879418611526,
0.035471320152282715,
-0.024460680782794952,
0.05555731803178787,
0.04831085726618767,
0.060600098222494125,
0.009809942916035652,
-0.03716781735420227,
-0.032055918127298355,
0.08040042221546173,
0.051644936203956604,
0.010145551525056362,
0.11861060559749603,
-0.06987149268388748,
-0.037983380258083344,
-0.06777945905923843,
0.0007887391839176416,
0.016735589131712914,
0.007950149476528168,
0.0018972986144945025,
-0.006770708132535219,
-0.06349602341651917,
-0.08245499432086945,
0.07289720326662064,
-0.014995786361396313,
-0.05970601364970207,
0.0019527432741597295,
0.026736734434962273,
0.03806147351861,
-0.046362172812223434,
0.012732550501823425,
0.0031501948833465576,
0.022016411647200584,
0.05016351491212845,
-0.017355939373373985,
0.022402890026569366,
-1.179033415337728e-33,
-0.1364741325378418,
-0.006781773176044226,
0.05530275031924248,
0.0007006792002357543,
0.032366011291742325,
-0.01636556163430214,
-0.06536547839641571,
-0.11388196796178818,
0.039144307374954224,
0.006908739916980267,
-0.056675419211387634,
0.029495401307940483,
0.04627523571252823,
-0.025219157338142395,
0.008045561611652374,
-0.08873232454061508,
0.020884480327367783,
0.014727623201906681,
-0.00776577228680253,
-0.019049305468797684,
-0.023676831275224686,
0.04662429913878441,
-0.0747760459780693,
0.005933123640716076,
0.030781865119934082,
0.045431412756443024,
-0.07654682546854019,
0.06570107489824295,
-0.03254173696041107,
-0.013139915652573109,
-0.05592253804206848,
-0.06095709279179573,
-0.03721754625439644,
-0.04835992306470871,
0.004151682369410992,
0.0436418391764164,
-0.039537783712148666,
0.04471578821539879,
0.05077596381306648,
0.014014490880072117,
-0.028037458658218384,
-0.05304486304521561,
-0.12338969111442566,
0.01779162324965,
0.009282243438065052,
-0.012774137780070305,
0.005058438051491976,
0.03284301236271858,
-0.0009053554967977107,
-0.024094941094517708,
0.012155041098594666,
0.0467478446662426,
0.015456799417734146,
0.10148707777261734,
-0.05171996355056763,
-0.016906047239899635,
0.021765517070889473,
0.001296565867960453,
0.17736950516700745,
0.01881648600101471,
-0.09104985743761063,
0.02128724940121174,
-0.044308148324489594,
-0.012507261708378792,
-0.06331830471754074,
-0.05652472376823425,
0.07380422949790955,
0.01368799153715372,
0.028680354356765747,
0.01734970696270466,
0.040095582604408264,
0.13070032000541687,
0.026602765545248985,
-0.01641732268035412,
-0.05220567062497139,
0.02155086025595665,
0.01090027205646038,
0.06850012391805649,
-0.025575201958417892,
0.006539954803884029,
-0.04944857954978943,
0.10085678845643997,
0.01742897555232048,
-0.08518799394369125,
-0.02210380882024765,
-0.014894449152052402,
0.1139926016330719,
0.021348848938941956,
0.028581423684954643,
0.0053529138676822186,
-0.033998459577560425,
-0.039458516985177994,
-0.00833758246153593,
0.05289524421095848,
-0.02916049212217331,
-4.834544498066862e-8,
-0.0035328040830790997,
-0.0017098278040066361,
-0.012127856723964214,
0.040043141692876816,
0.08705277740955353,
0.029062842950224876,
0.023574182763695717,
0.041187647730112076,
-0.05027393996715546,
0.05697013810276985,
0.058871790766716,
0.08256839215755463,
-0.021520575508475304,
0.008775313384830952,
0.005816078279167414,
-0.04936408996582031,
-0.0004159333766438067,
-0.026261400431394577,
-0.057799093425273895,
-0.03851901739835739,
0.0061684660613536835,
0.011140621267259121,
0.05424829572439194,
-0.04140524938702583,
0.10408918559551239,
-0.09104995429515839,
-0.0673290267586708,
0.028488464653491974,
0.006952653639018536,
0.05474133789539337,
-0.03687266260385513,
-0.022039495408535004,
-0.02791980654001236,
0.06977051496505737,
-0.006490529514849186,
0.07290437072515488,
-0.09086110442876816,
-0.019348975270986557,
-0.037991899996995926,
0.050901636481285095,
0.04101639986038208,
0.00291654746979475,
0.01575532741844654,
0.017051851376891136,
-0.07428375631570816,
-0.03756463900208473,
-0.10526502132415771,
-0.03952953591942787,
0.031227966770529747,
-0.015704993158578873,
-0.000057641493185656145,
-0.031117690727114677,
0.01405840739607811,
0.010290026664733887,
-0.01288031879812479,
-0.01914604939520359,
-0.04496518895030022,
0.002972580259665847,
-0.024122731760144234,
0.03594886511564255,
0.05030493438243866,
-0.018678244203329086,
-0.06771259009838104,
-0.04075701907277107
] | null | null | null | null | null | null | null |
[
-0.014532730914652348,
0.02020915411412716,
-0.0036227661184966564,
0.004457157105207443,
0.0840311050415039,
-0.028082353994250298,
0.003994144964963198,
0.02590605430305004,
0.08216165751218796,
0.05174994468688965,
-0.04742218181490898,
0.029264133423566818,
0.10210230946540833,
0.005007085390388966,
-0.002767197322100401,
0.04443160817027092,
0.06887450814247131,
0.03691527247428894,
-0.11556237190961838,
-0.02455081418156624,
0.005470003467053175,
-0.09168064594268799,
0.02232692576944828,
-0.04181273281574249,
0.01501170638948679,
-0.057851340621709824,
-0.007695317734032869,
-0.008774981833994389,
0.043299753218889236,
-0.07229882478713989,
0.033117737621068954,
0.05523472651839256,
0.016076164320111275,
-0.014740290120244026,
-0.05658208951354027,
0.0116498451679945,
-0.0034322005230933428,
-0.032995715737342834,
0.029985684901475906,
0.055392976850271225,
0.05017730966210365,
0.03566731885075569,
-0.03583680838346481,
0.05918753147125244,
-0.05383552610874176,
-0.016675956547260284,
-0.0017089468892663717,
0.1344691812992096,
-0.04205848649144173,
-0.030323758721351624,
-0.017290150746703148,
-0.04988575726747513,
-0.0449199303984642,
0.005552574992179871,
0.0073982104659080505,
-0.0696600154042244,
-0.01572543755173683,
-0.034473393112421036,
-0.026388399302959442,
-0.0371527336537838,
0.03817986324429512,
-0.07736724615097046,
-0.06322439759969711,
-0.037262145429849625,
0.025647807866334915,
0.02536407671868801,
-0.04988643527030945,
0.11323463171720505,
-0.12314586341381073,
0.0346953384578228,
0.15769541263580322,
-0.027968868613243103,
-0.07956501096487045,
-0.0029614551458507776,
0.09132762998342514,
0.01389977615326643,
0.02419082634150982,
0.0042409575544297695,
-0.02219553105533123,
0.003447899129241705,
-0.03700704872608185,
-0.029415937140583992,
0.019933387637138367,
-0.013806682080030441,
0.014384536072611809,
-0.0466761477291584,
0.05700062960386276,
-0.025715714320540428,
0.1412353515625,
0.06940346211194992,
-0.06653600931167603,
0.08985493332147598,
0.013841461390256882,
-0.057734131813049316,
0.006552327424287796,
0.006504382006824017,
0.02448415569961071,
-0.05191296339035034,
0.009836804121732712,
0.10035713016986847,
-0.05009864270687103,
-0.020407961681485176,
0.0064653814770281315,
-0.058819662779569626,
0.08058623224496841,
-0.06111352890729904,
-0.03665774315595627,
0.08206790685653687,
0.05322883650660515,
0.050810880959033966,
-0.07957953959703445,
0.079734206199646,
-0.019392332062125206,
0.047177162021398544,
0.03937223181128502,
-0.11807039380073547,
0.08408594876527786,
0.02871614322066307,
-0.035942137241363525,
-0.059323862195014954,
0.06726617366075516,
-0.014255492016673088,
0.05572034791111946,
-0.033332739025354385,
-0.01959242857992649,
0.038259658962488174,
-0.06526755541563034,
1.5294902501395961e-33,
-0.013166328892111778,
-0.018496442586183548,
0.015820175409317017,
0.027946580201387405,
0.11003954708576202,
0.028484854847192764,
-0.024159204214811325,
-0.013508745469152927,
-0.053225938230752945,
0.019981184974312782,
-0.06444858014583588,
0.07515304535627365,
0.06368183344602585,
0.04358895868062973,
0.08680292963981628,
-0.050255388021469116,
0.020282115787267685,
0.05154555290937424,
0.02556385099887848,
-0.11593746393918991,
-0.012666173279285431,
-0.06398187577724457,
0.0005214012344367802,
0.019400659948587418,
-0.008886164985597134,
-0.06962159276008606,
-0.044039852917194366,
0.02266800031065941,
0.0688994899392128,
-0.015395285561680794,
-0.036207325756549835,
0.06881079077720642,
0.07861053198575974,
-0.06125466525554657,
-0.026766972616314888,
0.08137436211109161,
-0.013863183557987213,
-0.06787986308336258,
0.04564322158694267,
-0.04171760007739067,
-0.07576677203178406,
0.031365908682346344,
0.04721889644861221,
0.010924571193754673,
-0.07574322819709778,
0.03406735509634018,
0.030045801773667336,
-0.0007513109012506902,
-0.10279454290866852,
-0.05489729717373848,
0.007919695228338242,
0.007353224791586399,
0.09436396509408951,
-0.00012073998368578032,
-0.011563921347260475,
-0.04517935961484909,
-0.021640107035636902,
0.0030949441716074944,
-0.004409800283610821,
0.031344879418611526,
0.035471320152282715,
-0.024460680782794952,
0.05555731803178787,
0.04831085726618767,
0.060600098222494125,
0.009809942916035652,
-0.03716781735420227,
-0.032055918127298355,
0.08040042221546173,
0.051644936203956604,
0.010145551525056362,
0.11861060559749603,
-0.06987149268388748,
-0.037983380258083344,
-0.06777945905923843,
0.0007887391839176416,
0.016735589131712914,
0.007950149476528168,
0.0018972986144945025,
-0.006770708132535219,
-0.06349602341651917,
-0.08245499432086945,
0.07289720326662064,
-0.014995786361396313,
-0.05970601364970207,
0.0019527432741597295,
0.026736734434962273,
0.03806147351861,
-0.046362172812223434,
0.012732550501823425,
0.0031501948833465576,
0.022016411647200584,
0.05016351491212845,
-0.017355939373373985,
0.022402890026569366,
-1.179033415337728e-33,
-0.1364741325378418,
-0.006781773176044226,
0.05530275031924248,
0.0007006792002357543,
0.032366011291742325,
-0.01636556163430214,
-0.06536547839641571,
-0.11388196796178818,
0.039144307374954224,
0.006908739916980267,
-0.056675419211387634,
0.029495401307940483,
0.04627523571252823,
-0.025219157338142395,
0.008045561611652374,
-0.08873232454061508,
0.020884480327367783,
0.014727623201906681,
-0.00776577228680253,
-0.019049305468797684,
-0.023676831275224686,
0.04662429913878441,
-0.0747760459780693,
0.005933123640716076,
0.030781865119934082,
0.045431412756443024,
-0.07654682546854019,
0.06570107489824295,
-0.03254173696041107,
-0.013139915652573109,
-0.05592253804206848,
-0.06095709279179573,
-0.03721754625439644,
-0.04835992306470871,
0.004151682369410992,
0.0436418391764164,
-0.039537783712148666,
0.04471578821539879,
0.05077596381306648,
0.014014490880072117,
-0.028037458658218384,
-0.05304486304521561,
-0.12338969111442566,
0.01779162324965,
0.009282243438065052,
-0.012774137780070305,
0.005058438051491976,
0.03284301236271858,
-0.0009053554967977107,
-0.024094941094517708,
0.012155041098594666,
0.0467478446662426,
0.015456799417734146,
0.10148707777261734,
-0.05171996355056763,
-0.016906047239899635,
0.021765517070889473,
0.001296565867960453,
0.17736950516700745,
0.01881648600101471,
-0.09104985743761063,
0.02128724940121174,
-0.044308148324489594,
-0.012507261708378792,
-0.06331830471754074,
-0.05652472376823425,
0.07380422949790955,
0.01368799153715372,
0.028680354356765747,
0.01734970696270466,
0.040095582604408264,
0.13070032000541687,
0.026602765545248985,
-0.01641732268035412,
-0.05220567062497139,
0.02155086025595665,
0.01090027205646038,
0.06850012391805649,
-0.025575201958417892,
0.006539954803884029,
-0.04944857954978943,
0.10085678845643997,
0.01742897555232048,
-0.08518799394369125,
-0.02210380882024765,
-0.014894449152052402,
0.1139926016330719,
0.021348848938941956,
0.028581423684954643,
0.0053529138676822186,
-0.033998459577560425,
-0.039458516985177994,
-0.00833758246153593,
0.05289524421095848,
-0.02916049212217331,
-4.834544498066862e-8,
-0.0035328040830790997,
-0.0017098278040066361,
-0.012127856723964214,
0.040043141692876816,
0.08705277740955353,
0.029062842950224876,
0.023574182763695717,
0.041187647730112076,
-0.05027393996715546,
0.05697013810276985,
0.058871790766716,
0.08256839215755463,
-0.021520575508475304,
0.008775313384830952,
0.005816078279167414,
-0.04936408996582031,
-0.0004159333766438067,
-0.026261400431394577,
-0.057799093425273895,
-0.03851901739835739,
0.0061684660613536835,
0.011140621267259121,
0.05424829572439194,
-0.04140524938702583,
0.10408918559551239,
-0.09104995429515839,
-0.0673290267586708,
0.028488464653491974,
0.006952653639018536,
0.05474133789539337,
-0.03687266260385513,
-0.022039495408535004,
-0.02791980654001236,
0.06977051496505737,
-0.006490529514849186,
0.07290437072515488,
-0.09086110442876816,
-0.019348975270986557,
-0.037991899996995926,
0.050901636481285095,
0.04101639986038208,
0.00291654746979475,
0.01575532741844654,
0.017051851376891136,
-0.07428375631570816,
-0.03756463900208473,
-0.10526502132415771,
-0.03952953591942787,
0.031227966770529747,
-0.015704993158578873,
-0.000057641493185656145,
-0.031117690727114677,
0.01405840739607811,
0.010290026664733887,
-0.01288031879812479,
-0.01914604939520359,
-0.04496518895030022,
0.002972580259665847,
-0.024122731760144234,
0.03594886511564255,
0.05030493438243866,
-0.018678244203329086,
-0.06771259009838104,
-0.04075701907277107
] |
1401.7974
|
Bin Liu
|
Bin Liu and J. Goree
|
Mobility in a strongly coupled dusty plasma with gas
| null | null |
10.1103/PhysRevE.89.043107
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mobility of a charged projectile in a strongly coupled dusty plasma is
simulated. A net force $F$, opposed by a combination of collisional scattering
and gas friction, causes projectiles to drift at a mobility-limited velocity
$u_p$. The mobility $\mu_p=u_p/F$ of the projectile's motion is obtained. Two
regimes depending on $F$ are identified. In the high force regime, $\mu_p
\propto F^{0.23}$, and the scattering cross section $\sigma_s$ diminishes as
$u_p^{-6/5}$. Results for $\sigma_s$ are compared with those for a weakly
coupled plasma and for two-body collisions in a Yukawa potential. The
simulation parameters are based on microgravity plasma experiments.
|
[
{
"created": "Thu, 30 Jan 2014 20:31:48 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Liu",
"Bin",
""
],
[
"Goree",
"J.",
""
]
] |
[
-0.016195252537727356,
-0.008609152399003506,
0.07980677485466003,
-0.017947912216186523,
-0.0038444320671260357,
-0.02263391576707363,
0.0016411964315921068,
0.07116815447807312,
-0.023386269807815552,
0.04827531427145004,
-0.05359986051917076,
-0.049976494163274765,
-0.028459643945097923,
0.02590939588844776,
-0.017726203426718712,
-0.04419608786702156,
0.08767953515052795,
0.026915937662124634,
-0.049353186041116714,
0.12077053636312485,
-0.006439697463065386,
0.01313098892569542,
-0.005400350783020258,
-0.0185278058052063,
0.1031692773103714,
-0.036526527255773544,
-0.0007198598468676209,
-0.012602409347891808,
-0.08720938116312027,
-0.028369439765810966,
0.0414835661649704,
-0.04011335223913193,
-0.10162714868783951,
0.019789034500718117,
0.002822199836373329,
-0.024417104199528694,
-0.050454385578632355,
0.018550701439380646,
-0.05325818434357643,
0.02446003444492817,
-0.09004564583301544,
-0.023320678621530533,
0.015371199697256088,
-0.031062530353665352,
0.07605589926242828,
-0.03329026699066162,
0.05714312195777893,
0.017842654138803482,
0.026220226660370827,
0.09644630551338196,
-0.07338225096464157,
-0.006392537150532007,
0.008921640925109386,
0.06597000360488892,
0.02264692820608616,
-0.02332606166601181,
0.08668550848960876,
-0.0051340945065021515,
0.020784983411431313,
-0.039213672280311584,
-0.09356961399316788,
-0.01942034438252449,
0.025190604850649834,
0.012598390690982342,
0.010237902402877808,
-0.05602804198861122,
0.07459012418985367,
0.028852952644228935,
0.0035432095173746347,
0.06863676011562347,
-0.0041756415739655495,
0.05968010053038597,
-0.08863956481218338,
-0.02974497154355049,
0.038313284516334534,
-0.009391456842422485,
-0.07712668925523758,
0.03121086023747921,
0.004850517958402634,
-0.032967761158943176,
0.0012282823445275426,
0.02550048939883709,
-0.11276369541883469,
-0.03399671986699104,
-0.10245045274496078,
0.01310794334858656,
-0.03511732816696167,
0.06505126506090164,
0.0071451966650784016,
-0.021155808120965958,
0.010536235757172108,
0.024353092536330223,
0.014997584745287895,
0.017908887937664986,
-0.0583336241543293,
0.006567676551640034,
-0.03040860965847969,
0.010275868698954582,
0.08541611582040787,
-0.005495085380971432,
-0.015912605449557304,
-0.023770049214363098,
0.030996544286608696,
0.056855347007513046,
0.016993047669529915,
0.026298943907022476,
0.06427562236785889,
-0.018638866022229195,
-0.05541757121682167,
0.09640935063362122,
0.056218985468149185,
0.007225521374493837,
-0.08344347774982452,
-0.011127772741019726,
-0.045804258435964584,
0.013626792468130589,
-0.028422152623534203,
-0.003126818686723709,
-0.014723638072609901,
-0.007183988578617573,
-0.019231269136071205,
-0.05394713208079338,
0.0017668658401817083,
0.044454362243413925,
0.018263285979628563,
0.00895832758396864,
-0.041499461978673935,
1.730935520600603e-34,
0.02031729370355606,
0.02304290421307087,
0.0037194346077740192,
0.02914760261774063,
-0.046781305223703384,
-0.03760293498635292,
-0.01518796943128109,
0.05541463568806648,
-0.04756258800625801,
0.037674736231565475,
-0.08310412615537643,
0.0985211431980133,
-0.010458430275321007,
-0.011864223517477512,
-0.01361345686018467,
0.02894796058535576,
0.022361909970641136,
-0.0394723042845726,
0.007723186165094376,
0.051144715398550034,
0.04070140793919563,
0.012394209392368793,
-0.03450487554073334,
-0.012523476965725422,
0.04643460735678673,
0.07983077317476273,
-0.06650076061487198,
0.02384467050433159,
-0.04314255714416504,
0.026087714359164238,
0.010008372366428375,
0.014606714248657227,
-0.017552006989717484,
0.0343981608748436,
-0.04648079723119736,
0.021713487803936005,
-0.11159604042768478,
-0.016862256452441216,
-0.02775530330836773,
0.010866591706871986,
-0.059893060475587845,
-0.00751411821693182,
-0.07955266535282135,
0.01173764280974865,
0.07429575175046921,
-0.05350741744041443,
-0.004416178911924362,
-0.041668545454740524,
0.009365015663206577,
-0.014459462836384773,
-0.03960641101002693,
0.0530521422624588,
0.07749287784099579,
0.08527418226003647,
0.14198029041290283,
-0.02352003939449787,
0.08990336209535599,
-0.049648117274045944,
-0.04520275071263313,
0.09041882306337357,
0.05010721832513809,
0.0003595698799472302,
-0.0004182364500593394,
0.00815399456769228,
-0.02833343669772148,
0.0035162668209522963,
-0.0354689285159111,
0.09244868904352188,
-0.00037120087654329836,
-0.08210918307304382,
0.0655328780412674,
0.06063203513622284,
0.03514795005321503,
-0.021027561277151108,
0.010858326219022274,
-0.049909237772226334,
-0.008876263163983822,
0.04954887554049492,
0.026399176567792892,
-0.07345935702323914,
-0.006915010046213865,
-0.07939856499433517,
-0.04329092428088188,
-0.004559229593724012,
-0.09314043074846268,
0.03172096237540245,
-0.0203730296343565,
-0.021770795807242393,
-0.10493660718202591,
-0.061062391847372055,
0.005016977898776531,
-0.0023781030904501677,
-0.01034039631485939,
-0.028955752030014992,
0.0013066630344837904,
-3.014420815517381e-33,
0.06605236232280731,
0.09669049829244614,
-0.0006850292556919158,
0.10518983006477356,
-0.0424068309366703,
0.07167243212461472,
0.046914562582969666,
0.06755154579877853,
-0.09958209097385406,
0.010817824862897396,
-0.05679522454738617,
-0.02098282054066658,
-0.0817764550447464,
0.011302676051855087,
0.09900806099176407,
-0.0013093099696561694,
0.06051420792937279,
0.016455508768558502,
-0.023165781050920486,
-0.06360147148370743,
0.06059575453400612,
0.02345036156475544,
0.04755743592977524,
-0.04304385185241699,
0.05078146979212761,
-0.09223224222660065,
0.07204937934875488,
-0.05408387631177902,
-0.05325419828295708,
0.04527975991368294,
-0.02754666656255722,
0.009032908827066422,
0.0009018906857818365,
-0.04434537515044212,
0.10561177134513855,
-0.057705264538526535,
0.009992931969463825,
0.03257579356431961,
0.042054545134305954,
-0.1265748143196106,
-0.02855086885392666,
0.04896701127290726,
0.0362958200275898,
0.003224367741495371,
0.0014420474180951715,
0.08699038624763489,
-0.0331006683409214,
0.024413110688328743,
0.09243425726890564,
-0.06753929704427719,
0.03264585882425308,
-0.13048739731311798,
-0.007905295118689537,
0.05200584605336189,
-0.015429973602294922,
0.04262435808777809,
0.06272684782743454,
0.013615119270980358,
0.004974152892827988,
-0.060749758034944534,
-0.03567195683717728,
0.015435682609677315,
0.02156553789973259,
0.00845649279654026,
-0.06232553720474243,
-0.0061324541456997395,
-0.10203731060028076,
0.06055521219968796,
-0.04990018904209137,
0.066690593957901,
-0.04513571783900261,
-0.05931434407830238,
0.11405948549509048,
-0.01848772168159485,
-0.04251977428793907,
0.0082605741918087,
0.08251262456178665,
-0.02683507464826107,
0.01781354285776615,
-0.010707547888159752,
0.013529249466955662,
0.07108701020479202,
-0.04401470720767975,
-0.059516541659832,
0.017974412068724632,
0.0011940874392166734,
-0.06774821877479553,
-0.06754887849092484,
-0.025982430204749107,
0.08034060895442963,
0.038953348994255066,
0.028783662244677544,
0.09332602471113205,
-0.06381196528673172,
-0.057289399206638336,
-5.273859571275352e-8,
0.06089285761117935,
0.008282999508082867,
-0.013526035472750664,
0.019692087545990944,
0.05069606378674507,
0.11347240209579468,
-0.05174320936203003,
-0.028827480971813202,
0.009211140684783459,
0.04410150647163391,
-0.01203874871134758,
0.01756838895380497,
0.03452390059828758,
0.06833107024431229,
-0.0359540730714798,
0.0007985439151525497,
-0.020914264023303986,
-0.0614887997508049,
-0.041772544384002686,
0.0289947260171175,
0.024029642343521118,
0.032248180359601974,
-0.02121758460998535,
0.06380882859230042,
0.0007585899438709021,
0.08677851408720016,
-0.04141509532928467,
-0.08952601999044418,
-0.0050932737067341805,
-0.044806189835071564,
-0.1094820573925972,
-0.021803496405482292,
-0.10747439414262772,
-0.02311587706208229,
-0.0785355344414711,
0.08326989412307739,
-0.007302951067686081,
0.04593542218208313,
0.03186516836285591,
-0.008725465275347233,
-0.023663172498345375,
-0.06968698650598526,
0.06271915137767792,
-0.03734973818063736,
0.0674246996641159,
0.050830453634262085,
-0.12799495458602905,
-0.04709732159972191,
-0.06052045151591301,
0.044174715876579285,
-0.03825869783759117,
-0.005468681920319796,
-0.05615231394767761,
-0.012230673804879189,
-0.02291371487081051,
0.006550834514200687,
-0.0074367583729326725,
-0.0454590804874897,
0.10612047463655472,
-0.06898684799671173,
0.10489954799413681,
-0.059159569442272186,
-0.04634995013475418,
0.04495183005928993
] | null | null | null | null | null | null | null |
[
-0.016195252537727356,
-0.008609152399003506,
0.07980677485466003,
-0.017947912216186523,
-0.0038444320671260357,
-0.02263391576707363,
0.0016411964315921068,
0.07116815447807312,
-0.023386269807815552,
0.04827531427145004,
-0.05359986051917076,
-0.049976494163274765,
-0.028459643945097923,
0.02590939588844776,
-0.017726203426718712,
-0.04419608786702156,
0.08767953515052795,
0.026915937662124634,
-0.049353186041116714,
0.12077053636312485,
-0.006439697463065386,
0.01313098892569542,
-0.005400350783020258,
-0.0185278058052063,
0.1031692773103714,
-0.036526527255773544,
-0.0007198598468676209,
-0.012602409347891808,
-0.08720938116312027,
-0.028369439765810966,
0.0414835661649704,
-0.04011335223913193,
-0.10162714868783951,
0.019789034500718117,
0.002822199836373329,
-0.024417104199528694,
-0.050454385578632355,
0.018550701439380646,
-0.05325818434357643,
0.02446003444492817,
-0.09004564583301544,
-0.023320678621530533,
0.015371199697256088,
-0.031062530353665352,
0.07605589926242828,
-0.03329026699066162,
0.05714312195777893,
0.017842654138803482,
0.026220226660370827,
0.09644630551338196,
-0.07338225096464157,
-0.006392537150532007,
0.008921640925109386,
0.06597000360488892,
0.02264692820608616,
-0.02332606166601181,
0.08668550848960876,
-0.0051340945065021515,
0.020784983411431313,
-0.039213672280311584,
-0.09356961399316788,
-0.01942034438252449,
0.025190604850649834,
0.012598390690982342,
0.010237902402877808,
-0.05602804198861122,
0.07459012418985367,
0.028852952644228935,
0.0035432095173746347,
0.06863676011562347,
-0.0041756415739655495,
0.05968010053038597,
-0.08863956481218338,
-0.02974497154355049,
0.038313284516334534,
-0.009391456842422485,
-0.07712668925523758,
0.03121086023747921,
0.004850517958402634,
-0.032967761158943176,
0.0012282823445275426,
0.02550048939883709,
-0.11276369541883469,
-0.03399671986699104,
-0.10245045274496078,
0.01310794334858656,
-0.03511732816696167,
0.06505126506090164,
0.0071451966650784016,
-0.021155808120965958,
0.010536235757172108,
0.024353092536330223,
0.014997584745287895,
0.017908887937664986,
-0.0583336241543293,
0.006567676551640034,
-0.03040860965847969,
0.010275868698954582,
0.08541611582040787,
-0.005495085380971432,
-0.015912605449557304,
-0.023770049214363098,
0.030996544286608696,
0.056855347007513046,
0.016993047669529915,
0.026298943907022476,
0.06427562236785889,
-0.018638866022229195,
-0.05541757121682167,
0.09640935063362122,
0.056218985468149185,
0.007225521374493837,
-0.08344347774982452,
-0.011127772741019726,
-0.045804258435964584,
0.013626792468130589,
-0.028422152623534203,
-0.003126818686723709,
-0.014723638072609901,
-0.007183988578617573,
-0.019231269136071205,
-0.05394713208079338,
0.0017668658401817083,
0.044454362243413925,
0.018263285979628563,
0.00895832758396864,
-0.041499461978673935,
1.730935520600603e-34,
0.02031729370355606,
0.02304290421307087,
0.0037194346077740192,
0.02914760261774063,
-0.046781305223703384,
-0.03760293498635292,
-0.01518796943128109,
0.05541463568806648,
-0.04756258800625801,
0.037674736231565475,
-0.08310412615537643,
0.0985211431980133,
-0.010458430275321007,
-0.011864223517477512,
-0.01361345686018467,
0.02894796058535576,
0.022361909970641136,
-0.0394723042845726,
0.007723186165094376,
0.051144715398550034,
0.04070140793919563,
0.012394209392368793,
-0.03450487554073334,
-0.012523476965725422,
0.04643460735678673,
0.07983077317476273,
-0.06650076061487198,
0.02384467050433159,
-0.04314255714416504,
0.026087714359164238,
0.010008372366428375,
0.014606714248657227,
-0.017552006989717484,
0.0343981608748436,
-0.04648079723119736,
0.021713487803936005,
-0.11159604042768478,
-0.016862256452441216,
-0.02775530330836773,
0.010866591706871986,
-0.059893060475587845,
-0.00751411821693182,
-0.07955266535282135,
0.01173764280974865,
0.07429575175046921,
-0.05350741744041443,
-0.004416178911924362,
-0.041668545454740524,
0.009365015663206577,
-0.014459462836384773,
-0.03960641101002693,
0.0530521422624588,
0.07749287784099579,
0.08527418226003647,
0.14198029041290283,
-0.02352003939449787,
0.08990336209535599,
-0.049648117274045944,
-0.04520275071263313,
0.09041882306337357,
0.05010721832513809,
0.0003595698799472302,
-0.0004182364500593394,
0.00815399456769228,
-0.02833343669772148,
0.0035162668209522963,
-0.0354689285159111,
0.09244868904352188,
-0.00037120087654329836,
-0.08210918307304382,
0.0655328780412674,
0.06063203513622284,
0.03514795005321503,
-0.021027561277151108,
0.010858326219022274,
-0.049909237772226334,
-0.008876263163983822,
0.04954887554049492,
0.026399176567792892,
-0.07345935702323914,
-0.006915010046213865,
-0.07939856499433517,
-0.04329092428088188,
-0.004559229593724012,
-0.09314043074846268,
0.03172096237540245,
-0.0203730296343565,
-0.021770795807242393,
-0.10493660718202591,
-0.061062391847372055,
0.005016977898776531,
-0.0023781030904501677,
-0.01034039631485939,
-0.028955752030014992,
0.0013066630344837904,
-3.014420815517381e-33,
0.06605236232280731,
0.09669049829244614,
-0.0006850292556919158,
0.10518983006477356,
-0.0424068309366703,
0.07167243212461472,
0.046914562582969666,
0.06755154579877853,
-0.09958209097385406,
0.010817824862897396,
-0.05679522454738617,
-0.02098282054066658,
-0.0817764550447464,
0.011302676051855087,
0.09900806099176407,
-0.0013093099696561694,
0.06051420792937279,
0.016455508768558502,
-0.023165781050920486,
-0.06360147148370743,
0.06059575453400612,
0.02345036156475544,
0.04755743592977524,
-0.04304385185241699,
0.05078146979212761,
-0.09223224222660065,
0.07204937934875488,
-0.05408387631177902,
-0.05325419828295708,
0.04527975991368294,
-0.02754666656255722,
0.009032908827066422,
0.0009018906857818365,
-0.04434537515044212,
0.10561177134513855,
-0.057705264538526535,
0.009992931969463825,
0.03257579356431961,
0.042054545134305954,
-0.1265748143196106,
-0.02855086885392666,
0.04896701127290726,
0.0362958200275898,
0.003224367741495371,
0.0014420474180951715,
0.08699038624763489,
-0.0331006683409214,
0.024413110688328743,
0.09243425726890564,
-0.06753929704427719,
0.03264585882425308,
-0.13048739731311798,
-0.007905295118689537,
0.05200584605336189,
-0.015429973602294922,
0.04262435808777809,
0.06272684782743454,
0.013615119270980358,
0.004974152892827988,
-0.060749758034944534,
-0.03567195683717728,
0.015435682609677315,
0.02156553789973259,
0.00845649279654026,
-0.06232553720474243,
-0.0061324541456997395,
-0.10203731060028076,
0.06055521219968796,
-0.04990018904209137,
0.066690593957901,
-0.04513571783900261,
-0.05931434407830238,
0.11405948549509048,
-0.01848772168159485,
-0.04251977428793907,
0.0082605741918087,
0.08251262456178665,
-0.02683507464826107,
0.01781354285776615,
-0.010707547888159752,
0.013529249466955662,
0.07108701020479202,
-0.04401470720767975,
-0.059516541659832,
0.017974412068724632,
0.0011940874392166734,
-0.06774821877479553,
-0.06754887849092484,
-0.025982430204749107,
0.08034060895442963,
0.038953348994255066,
0.028783662244677544,
0.09332602471113205,
-0.06381196528673172,
-0.057289399206638336,
-5.273859571275352e-8,
0.06089285761117935,
0.008282999508082867,
-0.013526035472750664,
0.019692087545990944,
0.05069606378674507,
0.11347240209579468,
-0.05174320936203003,
-0.028827480971813202,
0.009211140684783459,
0.04410150647163391,
-0.01203874871134758,
0.01756838895380497,
0.03452390059828758,
0.06833107024431229,
-0.0359540730714798,
0.0007985439151525497,
-0.020914264023303986,
-0.0614887997508049,
-0.041772544384002686,
0.0289947260171175,
0.024029642343521118,
0.032248180359601974,
-0.02121758460998535,
0.06380882859230042,
0.0007585899438709021,
0.08677851408720016,
-0.04141509532928467,
-0.08952601999044418,
-0.0050932737067341805,
-0.044806189835071564,
-0.1094820573925972,
-0.021803496405482292,
-0.10747439414262772,
-0.02311587706208229,
-0.0785355344414711,
0.08326989412307739,
-0.007302951067686081,
0.04593542218208313,
0.03186516836285591,
-0.008725465275347233,
-0.023663172498345375,
-0.06968698650598526,
0.06271915137767792,
-0.03734973818063736,
0.0674246996641159,
0.050830453634262085,
-0.12799495458602905,
-0.04709732159972191,
-0.06052045151591301,
0.044174715876579285,
-0.03825869783759117,
-0.005468681920319796,
-0.05615231394767761,
-0.012230673804879189,
-0.02291371487081051,
0.006550834514200687,
-0.0074367583729326725,
-0.0454590804874897,
0.10612047463655472,
-0.06898684799671173,
0.10489954799413681,
-0.059159569442272186,
-0.04634995013475418,
0.04495183005928993
] |
1401.7976
|
Sebastien Bize
|
Jocelyne Gu\'ena, Michel Abgrall, Andr\'e Clairon and S\'ebastien Bize
|
Contributing to TAI with a Secondary Representation of the SI Second
|
13 pages, 10 figures, 3 tables, 80 references
|
Metrologia 51, 108 (2014)
|
10.1088/0026-1394/51/1/108
| null |
physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report the first contribution to the international atomic time (TAI) based
on a secondary representation of the SI second. This work is done with the
LNE-SYRTE FO2-Rb fountain frequency standard using the $^{87}$Rb ground state
hyperfine transition. We describe FO2-Rb and how it is connected to local and
international time scales. We report on local measurements of this frequency
standard in the SI system, i.e. against primary frequency standards, down to a
fractional uncertainty of $4.4\times 10^{-16}$, and on the establishment of the
recommended value for the $^{87}$Rb hyperfine transition by the CIPM. We also
report on the process that led to the participation of the FO2-Rb frequency
standard to $Circular~T$ and to the elaboration of TAI. This participation
enables us to demonstrate absolute frequency measurement directly in terms of
the SI second realized by the TAI ensemble with a statistical uncertainty of
$1.1\times 10^{-16}$, therefore at the limit allowed by the accuracy of primary
frequency standards. This work constitutes a demonstration of how other
secondary representations, based on optical transitions, could also be used for
TAI, and an investigation of a number of issues relevant to a future
redefinition of the SI second.
|
[
{
"created": "Wed, 29 Jan 2014 20:28:54 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Guéna",
"Jocelyne",
""
],
[
"Abgrall",
"Michel",
""
],
[
"Clairon",
"André",
""
],
[
"Bize",
"Sébastien",
""
]
] |
[
0.0047471607103943825,
-0.0020750449039041996,
-0.03278009966015816,
0.03039006143808365,
0.03216427564620972,
-0.02071221172809601,
-0.0026467670686542988,
0.06184513494372368,
0.031027531251311302,
-0.03970078006386757,
-0.0045102182775735855,
-0.10060809552669525,
-0.03595567122101784,
-0.009281281381845474,
0.011012308299541473,
-0.05193713307380676,
0.04457293450832367,
-0.0001639567199163139,
-0.005772249307483435,
0.045910175889730453,
0.02797110565006733,
-0.1050528809428215,
-0.000005627581231237855,
-0.04419600963592529,
-0.008104754611849785,
-0.019175132736563683,
-0.022971156984567642,
0.018436675891280174,
0.08119779825210571,
-0.015359281562268734,
-0.040009506046772,
0.04714536666870117,
0.05000494047999382,
-0.02513721212744713,
0.04725780710577965,
-0.0804034024477005,
0.07785671949386597,
-0.03495281934738159,
-0.03516406938433647,
-0.061161335557699203,
0.037913937121629715,
0.013489468954503536,
0.057107169181108475,
0.07415562868118286,
-0.038381028920412064,
0.03476930409669876,
0.11180296540260315,
-0.04484960436820984,
-0.14915291965007782,
0.024927033111453056,
0.07335787266492844,
0.10549122095108032,
0.0056571257300674915,
0.0077770729549229145,
-0.008929354138672352,
0.10456426441669464,
0.08965685963630676,
0.02110985480248928,
0.009209433570504189,
-0.01769302599132061,
-0.0507710799574852,
-0.021510476246476173,
-0.07187465578317642,
-0.05390435829758644,
0.05255594104528427,
0.024080149829387665,
0.06552521139383316,
-0.047880157828330994,
0.0638854056596756,
-0.01632635109126568,
-0.03790973126888275,
-0.021160457283258438,
-0.021443596109747887,
0.03671792149543762,
0.05691488832235336,
-0.02511008083820343,
0.009638356044888496,
0.046736471354961395,
0.04886559396982193,
-0.06741029769182205,
0.0007355601410381496,
-0.022479811683297157,
0.06352151930332184,
-0.0825715959072113,
0.0844704657793045,
0.035093650221824646,
-0.05197710171341896,
0.04451880604028702,
-0.03348197788000107,
-0.10609652101993561,
-0.05546452850103378,
0.029208075255155563,
0.001144066802226007,
-0.015338793396949768,
0.10970816761255264,
0.06729201227426529,
0.08676320314407349,
0.003005596809089184,
0.1201719120144844,
0.06887952983379364,
0.06733948737382889,
0.03065738081932068,
-0.04793796315789223,
0.054492395371198654,
-0.06885898113250732,
-0.05055295303463936,
0.052707891911268234,
0.05224401876330376,
-0.04890895634889603,
0.029265176504850388,
0.06225936487317085,
0.011789388954639435,
0.03544119745492935,
-0.043019119650125504,
0.08359262347221375,
-0.0022017699666321278,
-0.005049763713032007,
0.053621355444192886,
0.032659340649843216,
-0.01953497901558876,
-0.04449997842311859,
0.05917568504810333,
-0.05690723657608032,
0.04968526214361191,
0.03276301175355911,
0.013813583180308342,
-0.021555425599217415,
3.430658222355768e-34,
0.025708738714456558,
0.11096315085887909,
-0.01805078238248825,
-0.04486950859427452,
-0.08292128890752792,
0.0014029821613803506,
-0.04087265953421593,
-0.07813640683889389,
-0.017561526969075203,
0.04752125218510628,
0.02068900875747204,
0.00031612691236659884,
0.017976325005292892,
-0.07608851790428162,
0.021756701171398163,
-0.015600570477545261,
0.08321087062358856,
-0.018591884523630142,
0.09402024745941162,
-0.03784654289484024,
0.08032947778701782,
0.04517379030585289,
0.028108661994338036,
-0.015132072381675243,
0.005929443519562483,
0.062174879014492035,
0.020208559930324554,
0.013807260431349277,
-0.02030843496322632,
0.007944274693727493,
-0.0026484590489417315,
0.018729379400610924,
-0.07079248130321503,
-0.04385902360081673,
0.1073789894580841,
-0.11557000130414963,
0.026652298867702484,
0.020691370591521263,
-0.07827367633581161,
-0.06022011488676071,
0.10239068418741226,
0.07157634943723679,
-0.012048653326928616,
0.021914180368185043,
0.031078584492206573,
-0.05734321475028992,
0.03347732499241829,
-0.00465319724753499,
0.06412022560834885,
-0.02240365743637085,
-0.05807257816195488,
-0.003276706673204899,
-0.03577146679162979,
-0.013626684434711933,
0.11210577189922333,
-0.05725061148405075,
0.07822884619235992,
-0.03221898153424263,
-0.015408682636916637,
0.0464806966483593,
0.02960854396224022,
-0.0011831090087071061,
0.0031266098376363516,
0.07497228682041168,
-0.060863327234983444,
0.10832591354846954,
-0.10504436492919922,
0.043645817786455154,
0.0028386928606778383,
0.01625271514058113,
-0.057405270636081696,
0.06880388408899307,
0.07406430691480637,
-0.07576833665370941,
0.06249997764825821,
-0.02874702960252762,
0.11053705960512161,
-0.07324671000242233,
-0.0013749965000897646,
0.0040418775752186775,
-0.03630121797323227,
-0.050154250115156174,
-0.02956199087202549,
-0.025489168241620064,
-0.08461666107177734,
-0.07608558237552643,
-0.06096116080880165,
-0.026022398844361305,
0.007565509527921677,
-0.06379380822181702,
0.012411287985742092,
-0.06950407475233078,
0.06662573665380478,
-0.004573563113808632,
-0.14463520050048828,
-1.5009743183920821e-33,
0.010552261024713516,
0.012258783914148808,
0.042823173105716705,
0.03720797970890999,
0.01185581088066101,
-0.005738012958317995,
-0.011275498196482658,
0.006499243900179863,
0.003932068590074778,
-0.02590733766555786,
0.06100768223404884,
-0.032955653965473175,
0.01874103955924511,
-0.04781949892640114,
-0.00421948404982686,
0.03224904090166092,
0.013573026284575462,
-0.008650550618767738,
0.1323501169681549,
0.029207615181803703,
0.032817743718624115,
-0.07198139280080795,
-0.0010303574381396174,
-0.018771430477499962,
-0.0026955849025398493,
-0.01184574794024229,
-0.003295367816463113,
0.00002521415262890514,
-0.022506816312670708,
-0.03436896204948425,
-0.017466804012656212,
-0.04833993315696716,
0.034986209124326706,
0.03288743272423744,
-0.0580565445125103,
-0.05025481432676315,
-0.016799310222268105,
-0.013704533688724041,
-0.11165740340948105,
0.04400746151804924,
-0.061843570321798325,
0.013857308775186539,
-0.02445334382355213,
-0.06839153170585632,
-0.011794140562415123,
0.07895495742559433,
-0.026038844138383865,
0.016070399433374405,
-0.08891220390796661,
-0.13718748092651367,
0.046609774231910706,
-0.04422161728143692,
0.015608071349561214,
-0.021325608715415,
-0.008480408228933811,
0.016571002081036568,
0.0010234478395432234,
0.08300884068012238,
0.02116776630282402,
0.07478731125593185,
0.0036531209480017424,
-0.0538351945579052,
0.015785109251737595,
-0.01601589471101761,
0.03847227618098259,
-0.00968935526907444,
0.010742907412350178,
0.02712990529835224,
-0.01170810591429472,
-0.012286899611353874,
-0.002533162711188197,
-0.027674103155732155,
-0.012659234926104546,
0.04404411464929581,
-0.0078462865203619,
-0.06275799870491028,
0.07093053311109543,
-0.035280078649520874,
0.009136250242590904,
0.058803994208574295,
-0.07584616541862488,
0.03917636722326279,
-0.036374278366565704,
-0.001362295588478446,
-0.01086167711764574,
0.022711947560310364,
-0.023662468418478966,
0.0070330179296433926,
0.014173127710819244,
-0.09240614622831345,
-0.04324238747358322,
0.003791240742430091,
-0.02870744653046131,
0.018992753699421883,
0.07475347816944122,
-5.736062647088147e-8,
0.005907959770411253,
-0.0008626169292256236,
-0.056384049355983734,
0.03584417328238487,
0.005213881377130747,
0.01512298546731472,
-0.0006200676434673369,
-0.08204501867294312,
-0.009496050886809826,
0.011188462376594543,
0.06423912942409515,
-0.044140078127384186,
0.006360522471368313,
-0.1073346808552742,
0.0680912584066391,
-0.0034619621001183987,
0.04859266057610512,
0.002144114812836051,
0.005664695519953966,
0.02491283230483532,
0.010362670756876469,
0.05615265667438507,
0.03664300590753555,
-0.09095151722431183,
-0.05848720669746399,
0.009342588484287262,
-0.10992425680160522,
0.07620411366224289,
0.03552376851439476,
0.026541920378804207,
-0.0052768774330616,
-0.006879362743347883,
0.08748520165681839,
0.0323103666305542,
-0.1184803768992424,
-0.019199134781956673,
-0.045309942215681076,
0.006015350576490164,
0.006910113617777824,
0.025455283001065254,
0.0361013188958168,
0.03666491061449051,
-0.13024380803108215,
0.0226338692009449,
-0.012765588238835335,
0.004216437693685293,
-0.036756355315446854,
-0.048099979758262634,
-0.013327296823263168,
0.04036419466137886,
-0.0403548888862133,
0.04848729446530342,
-0.028781602159142494,
0.010311715304851532,
-0.006924829911440611,
0.07109370827674866,
-0.06656225025653839,
-0.07872079312801361,
-0.0985192209482193,
-0.0006949398666620255,
0.06905152648687363,
-0.023749496787786484,
-0.08375687897205353,
0.0035108004231005907
] | null | null | null | null | null | null | null |
[
0.0047471607103943825,
-0.0020750449039041996,
-0.03278009966015816,
0.03039006143808365,
0.03216427564620972,
-0.02071221172809601,
-0.0026467670686542988,
0.06184513494372368,
0.031027531251311302,
-0.03970078006386757,
-0.0045102182775735855,
-0.10060809552669525,
-0.03595567122101784,
-0.009281281381845474,
0.011012308299541473,
-0.05193713307380676,
0.04457293450832367,
-0.0001639567199163139,
-0.005772249307483435,
0.045910175889730453,
0.02797110565006733,
-0.1050528809428215,
-0.000005627581231237855,
-0.04419600963592529,
-0.008104754611849785,
-0.019175132736563683,
-0.022971156984567642,
0.018436675891280174,
0.08119779825210571,
-0.015359281562268734,
-0.040009506046772,
0.04714536666870117,
0.05000494047999382,
-0.02513721212744713,
0.04725780710577965,
-0.0804034024477005,
0.07785671949386597,
-0.03495281934738159,
-0.03516406938433647,
-0.061161335557699203,
0.037913937121629715,
0.013489468954503536,
0.057107169181108475,
0.07415562868118286,
-0.038381028920412064,
0.03476930409669876,
0.11180296540260315,
-0.04484960436820984,
-0.14915291965007782,
0.024927033111453056,
0.07335787266492844,
0.10549122095108032,
0.0056571257300674915,
0.0077770729549229145,
-0.008929354138672352,
0.10456426441669464,
0.08965685963630676,
0.02110985480248928,
0.009209433570504189,
-0.01769302599132061,
-0.0507710799574852,
-0.021510476246476173,
-0.07187465578317642,
-0.05390435829758644,
0.05255594104528427,
0.024080149829387665,
0.06552521139383316,
-0.047880157828330994,
0.0638854056596756,
-0.01632635109126568,
-0.03790973126888275,
-0.021160457283258438,
-0.021443596109747887,
0.03671792149543762,
0.05691488832235336,
-0.02511008083820343,
0.009638356044888496,
0.046736471354961395,
0.04886559396982193,
-0.06741029769182205,
0.0007355601410381496,
-0.022479811683297157,
0.06352151930332184,
-0.0825715959072113,
0.0844704657793045,
0.035093650221824646,
-0.05197710171341896,
0.04451880604028702,
-0.03348197788000107,
-0.10609652101993561,
-0.05546452850103378,
0.029208075255155563,
0.001144066802226007,
-0.015338793396949768,
0.10970816761255264,
0.06729201227426529,
0.08676320314407349,
0.003005596809089184,
0.1201719120144844,
0.06887952983379364,
0.06733948737382889,
0.03065738081932068,
-0.04793796315789223,
0.054492395371198654,
-0.06885898113250732,
-0.05055295303463936,
0.052707891911268234,
0.05224401876330376,
-0.04890895634889603,
0.029265176504850388,
0.06225936487317085,
0.011789388954639435,
0.03544119745492935,
-0.043019119650125504,
0.08359262347221375,
-0.0022017699666321278,
-0.005049763713032007,
0.053621355444192886,
0.032659340649843216,
-0.01953497901558876,
-0.04449997842311859,
0.05917568504810333,
-0.05690723657608032,
0.04968526214361191,
0.03276301175355911,
0.013813583180308342,
-0.021555425599217415,
3.430658222355768e-34,
0.025708738714456558,
0.11096315085887909,
-0.01805078238248825,
-0.04486950859427452,
-0.08292128890752792,
0.0014029821613803506,
-0.04087265953421593,
-0.07813640683889389,
-0.017561526969075203,
0.04752125218510628,
0.02068900875747204,
0.00031612691236659884,
0.017976325005292892,
-0.07608851790428162,
0.021756701171398163,
-0.015600570477545261,
0.08321087062358856,
-0.018591884523630142,
0.09402024745941162,
-0.03784654289484024,
0.08032947778701782,
0.04517379030585289,
0.028108661994338036,
-0.015132072381675243,
0.005929443519562483,
0.062174879014492035,
0.020208559930324554,
0.013807260431349277,
-0.02030843496322632,
0.007944274693727493,
-0.0026484590489417315,
0.018729379400610924,
-0.07079248130321503,
-0.04385902360081673,
0.1073789894580841,
-0.11557000130414963,
0.026652298867702484,
0.020691370591521263,
-0.07827367633581161,
-0.06022011488676071,
0.10239068418741226,
0.07157634943723679,
-0.012048653326928616,
0.021914180368185043,
0.031078584492206573,
-0.05734321475028992,
0.03347732499241829,
-0.00465319724753499,
0.06412022560834885,
-0.02240365743637085,
-0.05807257816195488,
-0.003276706673204899,
-0.03577146679162979,
-0.013626684434711933,
0.11210577189922333,
-0.05725061148405075,
0.07822884619235992,
-0.03221898153424263,
-0.015408682636916637,
0.0464806966483593,
0.02960854396224022,
-0.0011831090087071061,
0.0031266098376363516,
0.07497228682041168,
-0.060863327234983444,
0.10832591354846954,
-0.10504436492919922,
0.043645817786455154,
0.0028386928606778383,
0.01625271514058113,
-0.057405270636081696,
0.06880388408899307,
0.07406430691480637,
-0.07576833665370941,
0.06249997764825821,
-0.02874702960252762,
0.11053705960512161,
-0.07324671000242233,
-0.0013749965000897646,
0.0040418775752186775,
-0.03630121797323227,
-0.050154250115156174,
-0.02956199087202549,
-0.025489168241620064,
-0.08461666107177734,
-0.07608558237552643,
-0.06096116080880165,
-0.026022398844361305,
0.007565509527921677,
-0.06379380822181702,
0.012411287985742092,
-0.06950407475233078,
0.06662573665380478,
-0.004573563113808632,
-0.14463520050048828,
-1.5009743183920821e-33,
0.010552261024713516,
0.012258783914148808,
0.042823173105716705,
0.03720797970890999,
0.01185581088066101,
-0.005738012958317995,
-0.011275498196482658,
0.006499243900179863,
0.003932068590074778,
-0.02590733766555786,
0.06100768223404884,
-0.032955653965473175,
0.01874103955924511,
-0.04781949892640114,
-0.00421948404982686,
0.03224904090166092,
0.013573026284575462,
-0.008650550618767738,
0.1323501169681549,
0.029207615181803703,
0.032817743718624115,
-0.07198139280080795,
-0.0010303574381396174,
-0.018771430477499962,
-0.0026955849025398493,
-0.01184574794024229,
-0.003295367816463113,
0.00002521415262890514,
-0.022506816312670708,
-0.03436896204948425,
-0.017466804012656212,
-0.04833993315696716,
0.034986209124326706,
0.03288743272423744,
-0.0580565445125103,
-0.05025481432676315,
-0.016799310222268105,
-0.013704533688724041,
-0.11165740340948105,
0.04400746151804924,
-0.061843570321798325,
0.013857308775186539,
-0.02445334382355213,
-0.06839153170585632,
-0.011794140562415123,
0.07895495742559433,
-0.026038844138383865,
0.016070399433374405,
-0.08891220390796661,
-0.13718748092651367,
0.046609774231910706,
-0.04422161728143692,
0.015608071349561214,
-0.021325608715415,
-0.008480408228933811,
0.016571002081036568,
0.0010234478395432234,
0.08300884068012238,
0.02116776630282402,
0.07478731125593185,
0.0036531209480017424,
-0.0538351945579052,
0.015785109251737595,
-0.01601589471101761,
0.03847227618098259,
-0.00968935526907444,
0.010742907412350178,
0.02712990529835224,
-0.01170810591429472,
-0.012286899611353874,
-0.002533162711188197,
-0.027674103155732155,
-0.012659234926104546,
0.04404411464929581,
-0.0078462865203619,
-0.06275799870491028,
0.07093053311109543,
-0.035280078649520874,
0.009136250242590904,
0.058803994208574295,
-0.07584616541862488,
0.03917636722326279,
-0.036374278366565704,
-0.001362295588478446,
-0.01086167711764574,
0.022711947560310364,
-0.023662468418478966,
0.0070330179296433926,
0.014173127710819244,
-0.09240614622831345,
-0.04324238747358322,
0.003791240742430091,
-0.02870744653046131,
0.018992753699421883,
0.07475347816944122,
-5.736062647088147e-8,
0.005907959770411253,
-0.0008626169292256236,
-0.056384049355983734,
0.03584417328238487,
0.005213881377130747,
0.01512298546731472,
-0.0006200676434673369,
-0.08204501867294312,
-0.009496050886809826,
0.011188462376594543,
0.06423912942409515,
-0.044140078127384186,
0.006360522471368313,
-0.1073346808552742,
0.0680912584066391,
-0.0034619621001183987,
0.04859266057610512,
0.002144114812836051,
0.005664695519953966,
0.02491283230483532,
0.010362670756876469,
0.05615265667438507,
0.03664300590753555,
-0.09095151722431183,
-0.05848720669746399,
0.009342588484287262,
-0.10992425680160522,
0.07620411366224289,
0.03552376851439476,
0.026541920378804207,
-0.0052768774330616,
-0.006879362743347883,
0.08748520165681839,
0.0323103666305542,
-0.1184803768992424,
-0.019199134781956673,
-0.045309942215681076,
0.006015350576490164,
0.006910113617777824,
0.025455283001065254,
0.0361013188958168,
0.03666491061449051,
-0.13024380803108215,
0.0226338692009449,
-0.012765588238835335,
0.004216437693685293,
-0.036756355315446854,
-0.048099979758262634,
-0.013327296823263168,
0.04036419466137886,
-0.0403548888862133,
0.04848729446530342,
-0.028781602159142494,
0.010311715304851532,
-0.006924829911440611,
0.07109370827674866,
-0.06656225025653839,
-0.07872079312801361,
-0.0985192209482193,
-0.0006949398666620255,
0.06905152648687363,
-0.023749496787786484,
-0.08375687897205353,
0.0035108004231005907
] |
1401.7985
|
Raymond Ang\'elil
|
Raymond Ang\'elil, J\"urg Diemand, Kyoko K. Tanaka, Hidekazu Tanaka
|
Properties of Liquid Clusters in Large-scale Molecular Dynamics
Nucleation Simulations
|
16 pages, 19 figures, accepted for publication in J. Chem. Phys
|
J. Chem. Phys. 140, 074303 (2014)
|
10.1063/1.4865256
| null |
physics.chem-ph cond-mat.soft
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have performed large-scale Lennard-Jones molecular dynamics simulations of
homogeneous vapor-to-liquid nucleation, with $10^9$ atoms. This large number
allows us to resolve extremely low nucleation rates, and also provides
excellent statistics for cluster properties over a wide range of cluster sizes.
The nucleation rates, cluster growth rates, and size distributions are
presented in Diemand et al. [J. Chem. Phys. {\bf 139}, 74309 (2013)], while
this paper analyses the properties of the clusters. We explore the cluster
temperatures, density profiles, potential energies and shapes. A thorough
understanding of the properties of the clusters is crucial to the formulation
of nucleation models. Significant latent heat is retained by stable clusters,
by as much as $\Delta kT = 0.1 \epsilon$ for clusters with size $i = 100$. We
find that the clusters deviate remarkably from spherical - with ellipsoidal
axis ratios for critical cluster sizes typically within $b/c = 0.7\pm 0.05$ and
$a/c = 0.5 \pm 0.05$. We examine cluster spin angular momentum, and find that
it plays a negligible role in the cluster dynamics. The interfaces of large,
stable clusters are thiner than planar equilibrium interfaces by $10-30\%$. At
the critical cluster size, the cluster central densities are between $5-30\%$
lower than the bulk liquid expectations. These lower densities imply
larger-than-expected surface areas, which increase the energy cost to form a
surface, which lowers nucleation rates.
|
[
{
"created": "Thu, 30 Jan 2014 14:31:08 GMT",
"version": "v1"
}
] |
2014-04-07
|
[
[
"Angélil",
"Raymond",
""
],
[
"Diemand",
"Jürg",
""
],
[
"Tanaka",
"Kyoko K.",
""
],
[
"Tanaka",
"Hidekazu",
""
]
] |
[
-0.015157246962189674,
-0.07470786571502686,
-0.060934800654649734,
0.05241265147924423,
0.08078489452600479,
0.010394788347184658,
-0.04524408280849457,
-0.005593845620751381,
0.034698378294706345,
-0.023216987028717995,
-0.024337850511074066,
-0.0767221599817276,
-0.00020255807612556964,
0.0005163995083421469,
0.04839912801980972,
-0.04321906343102455,
-0.016550756990909576,
0.020729761570692062,
-0.031112369149923325,
-0.02609393559396267,
-0.0743895098567009,
0.025081748142838478,
0.042616888880729675,
0.039793387055397034,
-0.005233402829617262,
0.05591180920600891,
0.0722421184182167,
0.0365055687725544,
-0.022413846105337143,
-0.0023515168577432632,
0.031511884182691574,
0.025184398517012596,
0.026769664138555527,
-0.018851688131690025,
0.07375549525022507,
0.013345819897949696,
0.0029522711411118507,
0.026785554364323616,
-0.04635872319340706,
-0.02027600072324276,
0.019368374720215797,
0.08130556344985962,
0.07362972944974899,
0.007801799103617668,
-0.0572054497897625,
-0.0019147336715832353,
-0.006297213025391102,
0.029922988265752792,
-0.044080838561058044,
-0.05187452211976051,
0.045997194945812225,
-0.022693941369652748,
-0.07322061061859131,
-0.030105236917734146,
-0.0659080520272255,
-0.004170882049947977,
0.02372041717171669,
-0.0751970112323761,
0.06505981832742691,
-0.05189891532063484,
0.07330907136201859,
-0.006334719248116016,
0.03847338631749153,
-0.0008819657377898693,
0.03163674846291542,
0.04629138857126236,
0.1407427340745926,
0.03330074995756149,
-0.0015347065636888146,
-0.02337496541440487,
0.004909248556941748,
0.034489236772060394,
-0.015715422108769417,
0.03017495386302471,
0.0007697174442000687,
-0.0024140551686286926,
0.00041990354657173157,
-0.05111299455165863,
0.0373426117002964,
0.01006391178816557,
-0.10588247328996658,
0.021831629797816277,
0.04283739998936653,
-0.02864048257470131,
-0.03604801371693611,
-0.0372176468372345,
0.005627711769193411,
-0.0054423268884420395,
0.0425562858581543,
-0.017589949071407318,
-0.04805639758706093,
0.10156998783349991,
-0.06534790992736816,
-0.07518458366394043,
0.038434721529483795,
0.0712231695652008,
0.018208783119916916,
-0.0248020738363266,
0.07972370833158493,
-0.023443348705768585,
0.06146150454878807,
0.006619605701416731,
0.030311182141304016,
-0.025811271741986275,
0.02518061175942421,
0.020660430192947388,
0.08137555420398712,
-0.00893666222691536,
0.038065530359745026,
0.12665247917175293,
0.005314821843057871,
0.05128195136785507,
-0.029032092541456223,
-0.021222606301307678,
-0.032867010682821274,
-0.0036930153146386147,
0.016029322519898415,
0.005002886988222599,
-0.07866819202899933,
0.05652377009391785,
0.0101154875010252,
0.02078336849808693,
-0.0028894441202282906,
0.04871927946805954,
0.031452447175979614,
-0.024023782461881638,
-0.10306176543235779,
-2.9229693294865744e-34,
0.045492399483919144,
-0.04166138172149658,
-0.015728091821074486,
0.07025542110204697,
0.02247852459549904,
-0.06629980355501175,
-0.033786334097385406,
-0.004939232487231493,
-0.08291096240282059,
-0.05008263885974884,
-0.05570049211382866,
0.0029317017178982496,
0.062108419835567474,
-0.07157780230045319,
-0.04309540614485741,
-0.011384817771613598,
0.060902174562215805,
0.07885290682315826,
-0.07436265051364899,
-0.03862493485212326,
-0.057360824197530746,
0.057522762566804886,
0.02157912589609623,
0.020671216771006584,
-0.0641290694475174,
0.09081131219863892,
-0.04151289537549019,
-0.05829818546772003,
0.008978243917226791,
-0.009118162095546722,
-0.03456110879778862,
0.008757057599723339,
-0.10154636949300766,
0.04639340937137604,
0.03958934172987938,
0.04397351294755936,
-0.0605957992374897,
-0.061009012162685394,
-0.004806223791092634,
-0.029991503804922104,
-0.000010638282219588291,
0.036059293895959854,
0.03242213651537895,
-0.024950997903943062,
-0.03383953124284744,
0.04554935172200203,
0.060633525252342224,
-0.06136520206928253,
0.007782761473208666,
-0.05527038127183914,
-0.006908960174769163,
-0.05869510769844055,
0.018086381256580353,
0.07052023708820343,
0.0026043239049613476,
-0.010579532012343407,
0.10212882608175278,
-0.008619583211839199,
-0.013484626077115536,
-0.03404960781335831,
0.03103264793753624,
-0.01823008619248867,
-0.04049353301525116,
-0.009933351539075375,
0.01124150026589632,
0.0701032429933548,
-0.049450699239969254,
0.015818243846297264,
0.09528002142906189,
-0.00383960222825408,
0.04697420820593834,
0.08799669146537781,
0.04342222586274147,
0.006004435941576958,
0.03697024658322334,
0.06209484860301018,
0.08113895356655121,
-0.07341751456260681,
-0.01619354449212551,
0.008341565728187561,
0.008169134147465229,
-0.09989296644926071,
-0.0813874676823616,
-0.09007489681243896,
-0.05193955451250076,
-0.09645941108465195,
-0.013559873215854168,
-0.026784902438521385,
-0.0304846353828907,
-0.014731382951140404,
0.008750242181122303,
-0.09406166523694992,
0.09152594208717346,
-0.04629071429371834,
-0.08149651437997818,
-3.486404939917561e-33,
-0.018731819465756416,
-0.004606152419000864,
0.011464087292551994,
0.054673533886671066,
0.019859004765748978,
0.015649830922484398,
-0.025261079892516136,
0.04573938250541687,
-0.03908192366361618,
-0.11438987404108047,
0.017676139250397682,
-0.08227035403251648,
0.01785607635974884,
-0.02843507193028927,
0.013781676068902016,
0.020296931266784668,
0.07441921532154083,
0.0016080370405688882,
0.14951664209365845,
-0.017853276804089546,
-0.04658007249236107,
-0.07823300361633301,
0.019566195085644722,
-0.009686053730547428,
-0.03530516102910042,
-0.019847236573696136,
-0.0038199450355023146,
-0.10797587037086487,
-0.016109608113765717,
0.11029917001724243,
-0.001985917566344142,
0.05542348325252533,
-0.03724129870533943,
0.07414793968200684,
-0.015004030428826809,
0.06064322218298912,
0.02505628392100334,
-0.044754210859537125,
-0.05705985054373741,
-0.0835496261715889,
0.02870531752705574,
-0.028627267107367516,
-0.07830921560525894,
0.016862506046891212,
0.06771573424339294,
0.0004980597295798361,
0.04833141341805458,
-0.008561414666473866,
-0.024635890498757362,
0.009536179713904858,
0.0051037902012467384,
-0.050518959760665894,
0.038116492331027985,
0.06717856228351593,
-0.05759706720709801,
0.07325606793165207,
0.0015083530452102423,
0.08045309036970139,
0.024687649682164192,
-0.06894820183515549,
-0.06176482141017914,
-0.07927218824625015,
-0.06464748829603195,
0.0029468636494129896,
-0.09880581498146057,
-0.08476613461971283,
-0.01649363711476326,
-0.03418193757534027,
0.000142031378345564,
-0.023884957656264305,
-0.08840515464544296,
0.02137131243944168,
0.09064023941755295,
0.009411399252712727,
-0.05874301865696907,
-0.0543658509850502,
0.13203847408294678,
-0.11124853789806366,
0.0017290952382609248,
-0.032973531633615494,
-0.07690676301717758,
0.11178986728191376,
-0.05404357239603996,
-0.02163841389119625,
0.07169897854328156,
-0.04294223710894585,
0.022053157910704613,
0.02409598045051098,
-0.027797983959317207,
0.008269780315458775,
0.005082654766738415,
-0.06393863260746002,
0.06825485825538635,
-0.0035280867014080286,
-0.036233704537153244,
-4.692985200449584e-8,
0.07885030657052994,
-0.01707754284143448,
0.029938597232103348,
0.03596881777048111,
0.06093845143914223,
0.0803576186299324,
-0.024762630462646484,
0.026960939168930054,
-0.022264933213591576,
0.06757728010416031,
0.11365431547164917,
-0.040314435958862305,
-0.008812248706817627,
-0.060970038175582886,
0.027558552101254463,
0.0582786500453949,
-0.03868393227458,
-0.041827552020549774,
0.0002161948214052245,
0.03454356640577316,
0.014182312414050102,
0.028101757168769836,
0.007841833867132664,
0.005280014593154192,
-0.04440649226307869,
0.06017312780022621,
-0.003599701449275017,
-0.01611713506281376,
-0.02282704785466194,
-0.11411358416080475,
-0.06005579233169556,
0.018820466473698616,
0.04370655119419098,
0.08094694465398788,
-0.05201827362179756,
-0.027320247143507004,
-0.0008980779675766826,
0.07292979955673218,
0.020375903695821762,
0.02861132100224495,
0.006971902679651976,
0.0634126365184784,
-0.08310157805681229,
-0.02107233926653862,
0.052251264452934265,
0.07603885233402252,
-0.09539030492305756,
0.03529082611203194,
-0.0013092979788780212,
-0.0038611730560660362,
-0.029889727011322975,
0.06062528118491173,
-0.027436556294560432,
0.08050357550382614,
-0.00716825295239687,
-0.03176599368453026,
-0.14633601903915405,
0.05078056454658508,
0.06294261664152145,
0.02312908135354519,
0.04033008590340614,
-0.05149371176958084,
-0.04972309246659279,
-0.08167096972465515
] | null | null | null | null | null | null | null |
[
-0.015157246962189674,
-0.07470786571502686,
-0.060934800654649734,
0.05241265147924423,
0.08078489452600479,
0.010394788347184658,
-0.04524408280849457,
-0.005593845620751381,
0.034698378294706345,
-0.023216987028717995,
-0.024337850511074066,
-0.0767221599817276,
-0.00020255807612556964,
0.0005163995083421469,
0.04839912801980972,
-0.04321906343102455,
-0.016550756990909576,
0.020729761570692062,
-0.031112369149923325,
-0.02609393559396267,
-0.0743895098567009,
0.025081748142838478,
0.042616888880729675,
0.039793387055397034,
-0.005233402829617262,
0.05591180920600891,
0.0722421184182167,
0.0365055687725544,
-0.022413846105337143,
-0.0023515168577432632,
0.031511884182691574,
0.025184398517012596,
0.026769664138555527,
-0.018851688131690025,
0.07375549525022507,
0.013345819897949696,
0.0029522711411118507,
0.026785554364323616,
-0.04635872319340706,
-0.02027600072324276,
0.019368374720215797,
0.08130556344985962,
0.07362972944974899,
0.007801799103617668,
-0.0572054497897625,
-0.0019147336715832353,
-0.006297213025391102,
0.029922988265752792,
-0.044080838561058044,
-0.05187452211976051,
0.045997194945812225,
-0.022693941369652748,
-0.07322061061859131,
-0.030105236917734146,
-0.0659080520272255,
-0.004170882049947977,
0.02372041717171669,
-0.0751970112323761,
0.06505981832742691,
-0.05189891532063484,
0.07330907136201859,
-0.006334719248116016,
0.03847338631749153,
-0.0008819657377898693,
0.03163674846291542,
0.04629138857126236,
0.1407427340745926,
0.03330074995756149,
-0.0015347065636888146,
-0.02337496541440487,
0.004909248556941748,
0.034489236772060394,
-0.015715422108769417,
0.03017495386302471,
0.0007697174442000687,
-0.0024140551686286926,
0.00041990354657173157,
-0.05111299455165863,
0.0373426117002964,
0.01006391178816557,
-0.10588247328996658,
0.021831629797816277,
0.04283739998936653,
-0.02864048257470131,
-0.03604801371693611,
-0.0372176468372345,
0.005627711769193411,
-0.0054423268884420395,
0.0425562858581543,
-0.017589949071407318,
-0.04805639758706093,
0.10156998783349991,
-0.06534790992736816,
-0.07518458366394043,
0.038434721529483795,
0.0712231695652008,
0.018208783119916916,
-0.0248020738363266,
0.07972370833158493,
-0.023443348705768585,
0.06146150454878807,
0.006619605701416731,
0.030311182141304016,
-0.025811271741986275,
0.02518061175942421,
0.020660430192947388,
0.08137555420398712,
-0.00893666222691536,
0.038065530359745026,
0.12665247917175293,
0.005314821843057871,
0.05128195136785507,
-0.029032092541456223,
-0.021222606301307678,
-0.032867010682821274,
-0.0036930153146386147,
0.016029322519898415,
0.005002886988222599,
-0.07866819202899933,
0.05652377009391785,
0.0101154875010252,
0.02078336849808693,
-0.0028894441202282906,
0.04871927946805954,
0.031452447175979614,
-0.024023782461881638,
-0.10306176543235779,
-2.9229693294865744e-34,
0.045492399483919144,
-0.04166138172149658,
-0.015728091821074486,
0.07025542110204697,
0.02247852459549904,
-0.06629980355501175,
-0.033786334097385406,
-0.004939232487231493,
-0.08291096240282059,
-0.05008263885974884,
-0.05570049211382866,
0.0029317017178982496,
0.062108419835567474,
-0.07157780230045319,
-0.04309540614485741,
-0.011384817771613598,
0.060902174562215805,
0.07885290682315826,
-0.07436265051364899,
-0.03862493485212326,
-0.057360824197530746,
0.057522762566804886,
0.02157912589609623,
0.020671216771006584,
-0.0641290694475174,
0.09081131219863892,
-0.04151289537549019,
-0.05829818546772003,
0.008978243917226791,
-0.009118162095546722,
-0.03456110879778862,
0.008757057599723339,
-0.10154636949300766,
0.04639340937137604,
0.03958934172987938,
0.04397351294755936,
-0.0605957992374897,
-0.061009012162685394,
-0.004806223791092634,
-0.029991503804922104,
-0.000010638282219588291,
0.036059293895959854,
0.03242213651537895,
-0.024950997903943062,
-0.03383953124284744,
0.04554935172200203,
0.060633525252342224,
-0.06136520206928253,
0.007782761473208666,
-0.05527038127183914,
-0.006908960174769163,
-0.05869510769844055,
0.018086381256580353,
0.07052023708820343,
0.0026043239049613476,
-0.010579532012343407,
0.10212882608175278,
-0.008619583211839199,
-0.013484626077115536,
-0.03404960781335831,
0.03103264793753624,
-0.01823008619248867,
-0.04049353301525116,
-0.009933351539075375,
0.01124150026589632,
0.0701032429933548,
-0.049450699239969254,
0.015818243846297264,
0.09528002142906189,
-0.00383960222825408,
0.04697420820593834,
0.08799669146537781,
0.04342222586274147,
0.006004435941576958,
0.03697024658322334,
0.06209484860301018,
0.08113895356655121,
-0.07341751456260681,
-0.01619354449212551,
0.008341565728187561,
0.008169134147465229,
-0.09989296644926071,
-0.0813874676823616,
-0.09007489681243896,
-0.05193955451250076,
-0.09645941108465195,
-0.013559873215854168,
-0.026784902438521385,
-0.0304846353828907,
-0.014731382951140404,
0.008750242181122303,
-0.09406166523694992,
0.09152594208717346,
-0.04629071429371834,
-0.08149651437997818,
-3.486404939917561e-33,
-0.018731819465756416,
-0.004606152419000864,
0.011464087292551994,
0.054673533886671066,
0.019859004765748978,
0.015649830922484398,
-0.025261079892516136,
0.04573938250541687,
-0.03908192366361618,
-0.11438987404108047,
0.017676139250397682,
-0.08227035403251648,
0.01785607635974884,
-0.02843507193028927,
0.013781676068902016,
0.020296931266784668,
0.07441921532154083,
0.0016080370405688882,
0.14951664209365845,
-0.017853276804089546,
-0.04658007249236107,
-0.07823300361633301,
0.019566195085644722,
-0.009686053730547428,
-0.03530516102910042,
-0.019847236573696136,
-0.0038199450355023146,
-0.10797587037086487,
-0.016109608113765717,
0.11029917001724243,
-0.001985917566344142,
0.05542348325252533,
-0.03724129870533943,
0.07414793968200684,
-0.015004030428826809,
0.06064322218298912,
0.02505628392100334,
-0.044754210859537125,
-0.05705985054373741,
-0.0835496261715889,
0.02870531752705574,
-0.028627267107367516,
-0.07830921560525894,
0.016862506046891212,
0.06771573424339294,
0.0004980597295798361,
0.04833141341805458,
-0.008561414666473866,
-0.024635890498757362,
0.009536179713904858,
0.0051037902012467384,
-0.050518959760665894,
0.038116492331027985,
0.06717856228351593,
-0.05759706720709801,
0.07325606793165207,
0.0015083530452102423,
0.08045309036970139,
0.024687649682164192,
-0.06894820183515549,
-0.06176482141017914,
-0.07927218824625015,
-0.06464748829603195,
0.0029468636494129896,
-0.09880581498146057,
-0.08476613461971283,
-0.01649363711476326,
-0.03418193757534027,
0.000142031378345564,
-0.023884957656264305,
-0.08840515464544296,
0.02137131243944168,
0.09064023941755295,
0.009411399252712727,
-0.05874301865696907,
-0.0543658509850502,
0.13203847408294678,
-0.11124853789806366,
0.0017290952382609248,
-0.032973531633615494,
-0.07690676301717758,
0.11178986728191376,
-0.05404357239603996,
-0.02163841389119625,
0.07169897854328156,
-0.04294223710894585,
0.022053157910704613,
0.02409598045051098,
-0.027797983959317207,
0.008269780315458775,
0.005082654766738415,
-0.06393863260746002,
0.06825485825538635,
-0.0035280867014080286,
-0.036233704537153244,
-4.692985200449584e-8,
0.07885030657052994,
-0.01707754284143448,
0.029938597232103348,
0.03596881777048111,
0.06093845143914223,
0.0803576186299324,
-0.024762630462646484,
0.026960939168930054,
-0.022264933213591576,
0.06757728010416031,
0.11365431547164917,
-0.040314435958862305,
-0.008812248706817627,
-0.060970038175582886,
0.027558552101254463,
0.0582786500453949,
-0.03868393227458,
-0.041827552020549774,
0.0002161948214052245,
0.03454356640577316,
0.014182312414050102,
0.028101757168769836,
0.007841833867132664,
0.005280014593154192,
-0.04440649226307869,
0.06017312780022621,
-0.003599701449275017,
-0.01611713506281376,
-0.02282704785466194,
-0.11411358416080475,
-0.06005579233169556,
0.018820466473698616,
0.04370655119419098,
0.08094694465398788,
-0.05201827362179756,
-0.027320247143507004,
-0.0008980779675766826,
0.07292979955673218,
0.020375903695821762,
0.02861132100224495,
0.006971902679651976,
0.0634126365184784,
-0.08310157805681229,
-0.02107233926653862,
0.052251264452934265,
0.07603885233402252,
-0.09539030492305756,
0.03529082611203194,
-0.0013092979788780212,
-0.0038611730560660362,
-0.029889727011322975,
0.06062528118491173,
-0.027436556294560432,
0.08050357550382614,
-0.00716825295239687,
-0.03176599368453026,
-0.14633601903915405,
0.05078056454658508,
0.06294261664152145,
0.02312908135354519,
0.04033008590340614,
-0.05149371176958084,
-0.04972309246659279,
-0.08167096972465515
] |
1401.8001
|
Evan Scannapieco
|
Sharanya Sur, Liubin Pan, Evan Scannapieco
|
Mixing in Magnetized Turbulent Media
|
16 pages, 8 figures, ApJ, in press
| null |
10.1088/0004-637X/784/2/94
| null |
astro-ph.GA physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Turbulent motions are essential to the mixing of entrained fluids and are
also capable of amplifying weak initial magnetic fields by small-scale dynamo
action. Here we perform a systematic study of turbulent mixing in magnetized
media, using three-dimensional magnetohydrodynamic simulations that include a
scalar concentration field. We focus on how mixing depends on the magnetic
Prandtl number, Pm, from 1 to 4 and the Mach number, M}, from 0.3 to 2.4. For
all subsonic flows, we find that the velocity power spectrum has a k^-5/3 slope
in the early, kinematic phase, but steepens due to magnetic back reactions as
the field saturates. The scalar power spectrum, on the other hand, flattens
compared to k^-5/3 at late times, consistent with the Obukohov-Corrsin picture
of mixing as a cascade process. At higher Mach numbers, the velocity power
spectrum also steepens due to the presence of shocks, and the scalar power
spectrum again flattens accordingly. Scalar structures are more intermittent
than velocity structures in subsonic turbulence while for supersonic
turbulence, velocity structures appear more intermittent than the scalars only
in the kinematic phase. Independent of the Mach number of the flow, scalar
structures are arranged in sheets in both the kinematic and saturated phases of
the magnetic field evolution. For subsonic turbulence, scalar dissipation is
hindered in the strong magnetic field regions, probably due to Lorentz forces
suppressing the buildup of scalar gradients, while for supersonic turbulence,
scalar dissipation increases monotonically with increasing magnetic field
strength. At all Mach numbers, mixing is significantly slowed by the presence
of dynamically-important small-scale magnetic fields, implying that mixing in
the interstellar medium and in galaxy clusters is less efficient than modeled
in hydrodynamic simulations.
|
[
{
"created": "Thu, 30 Jan 2014 21:07:31 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Feb 2014 05:26:14 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Sur",
"Sharanya",
""
],
[
"Pan",
"Liubin",
""
],
[
"Scannapieco",
"Evan",
""
]
] |
[
-0.014472916722297668,
-0.06519072502851486,
0.026428114622831345,
0.0034677356015890837,
0.01385424379259348,
-0.024153070524334908,
-0.06769143790006638,
-0.09512172639369965,
0.04893919825553894,
-0.07372560352087021,
-0.057976286858320236,
-0.048974886536598206,
0.03306613862514496,
-0.06862318515777588,
0.06513141095638275,
-0.007836122997105122,
0.0044442033395171165,
0.007636456284672022,
-0.08947382867336273,
0.02716221660375595,
0.017188619822263718,
-0.007389229256659746,
-0.03651813417673111,
0.06455295532941818,
0.05669455975294113,
0.021401455625891685,
-0.015426420606672764,
-0.07124903053045273,
-0.03295045718550682,
-0.0484897755086422,
0.06172012910246849,
-0.003088393248617649,
-0.09410161525011063,
0.02099286951124668,
-0.03958616778254509,
-0.002502202522009611,
0.0786018967628479,
0.09833528101444244,
-0.009362162090837955,
0.13369321823120117,
-0.04389726370573044,
-0.017452100291848183,
0.0630946084856987,
-0.01873999834060669,
-0.012698398903012276,
0.018497327342629433,
0.05639665946364403,
-0.08814723044633865,
-0.005815111566334963,
-0.018549330532550812,
-0.07434405386447906,
0.033710263669490814,
-0.05534299090504646,
0.02536061778664589,
0.015450015664100647,
0.07212380319833755,
0.029211994260549545,
-0.023144355043768883,
0.005335113033652306,
0.0007619092939421535,
-0.06687983125448227,
-0.015508165583014488,
0.01262280996888876,
-0.009460224770009518,
0.0063746715895831585,
-0.06274668127298355,
0.0193012822419405,
0.05209089070558548,
0.02554292604327202,
0.019174965098500252,
0.027878478169441223,
0.006916022393852472,
-0.062188439071178436,
0.02523478865623474,
-0.0009238478378392756,
0.04937096685171127,
0.012796597555279732,
-0.024812528863549232,
-0.027579324319958687,
-0.030868006870150566,
-0.03503113612532616,
0.010816013440489769,
-0.06589370965957642,
-0.04775745049118996,
-0.04738260805606842,
0.032939158380031586,
0.0029257878195494413,
-0.06539899855852127,
-0.07648175954818726,
-0.010980973951518536,
-0.006318345665931702,
-0.014882942661643028,
-0.03852640092372894,
-0.028682664036750793,
0.1441708356142044,
0.04407423362135887,
0.02100166119635105,
-0.0253555029630661,
0.13641250133514404,
0.010459977202117443,
0.016011202707886696,
-0.05446283519268036,
0.007324318867176771,
0.09505107998847961,
0.030307712033391,
0.025212954729795456,
0.03812088072299957,
0.051507607102394104,
-0.0749923512339592,
0.07699719071388245,
0.031892113387584686,
-0.026122719049453735,
-0.00033939446439035237,
-0.058319251984357834,
0.07029880583286285,
0.08032143861055374,
-0.029253147542476654,
-0.008075977675616741,
-0.07497165352106094,
0.036475151777267456,
0.02345098927617073,
0.040048204362392426,
-0.01612493209540844,
0.06370975077152252,
0.03683238476514816,
0.016009535640478134,
0.0192677304148674,
3.371430939489587e-33,
0.011065684258937836,
-0.0460401326417923,
-0.00518608745187521,
0.09668224304914474,
0.017995035275816917,
0.03487865626811981,
-0.0213183481246233,
-0.0036428971216082573,
0.00803753174841404,
0.0933419018983841,
-0.009023088030517101,
0.12461002171039581,
0.0073564499616622925,
-0.0382637195289135,
-0.13810251653194427,
-0.08292453736066818,
-0.01664307340979576,
-0.042243387550115585,
-0.08444201201200485,
-0.0358414500951767,
0.09535613656044006,
0.018014485016465187,
-0.07699403911828995,
0.03920377418398857,
-0.03999947011470795,
0.020409004762768745,
0.0975010097026825,
-0.0026931962929666042,
0.030788177624344826,
0.057803843170404434,
-0.05086996406316757,
-0.0008167873020283878,
-0.04877366125583649,
-0.03174697235226631,
0.0019560891669243574,
-0.0017298180609941483,
-0.04579658806324005,
-0.009187258780002594,
0.018842047080397606,
-0.02077561989426613,
-0.04445985332131386,
-0.011427593417465687,
-0.1343163549900055,
-0.003219195641577244,
-0.04196479916572571,
-0.04218510910868645,
0.08086896687746048,
0.04715995490550995,
-0.009568228386342525,
-0.09771282225847244,
0.04332960024476051,
0.017554448917508125,
0.029925283044576645,
0.04297630116343498,
0.061776503920555115,
-0.03759663179516792,
0.08583824336528778,
-0.07110787183046341,
-0.03396036848425865,
0.006379630416631699,
0.049620840698480606,
0.049748316407203674,
-0.03738762065768242,
0.016140341758728027,
-0.02240704745054245,
-0.006694320123642683,
0.04970531165599823,
0.08214693516492844,
0.05957484990358353,
-0.0487806461751461,
0.041869617998600006,
0.1074993759393692,
-0.021075600758194923,
-0.001530496752820909,
0.04837900400161743,
-0.013598673045635223,
0.004305856302380562,
0.022078990936279297,
-0.05828636512160301,
0.03772540017962456,
-0.09721682965755463,
0.019442785531282425,
-0.010520689189434052,
0.07152777165174484,
-0.05852288380265236,
0.056037236005067825,
-0.018919171765446663,
-0.02082047238945961,
-0.061768464744091034,
-0.018152160570025444,
-0.026089878752827644,
0.005970159079879522,
0.11855537444353104,
-0.04157234728336334,
-0.07113248854875565,
-5.695374822199603e-33,
0.01570223458111286,
0.020694997161626816,
-0.020244713872671127,
0.06369408220052719,
-0.01451745443046093,
0.11515074223279953,
0.12992438673973083,
0.08889363706111908,
-0.015619571320712566,
-0.05426846444606781,
0.008886262774467468,
-0.03270602598786354,
-0.03830968588590622,
-0.0786295235157013,
0.09286987781524658,
-0.11589014530181885,
-0.047249749302864075,
0.041613951325416565,
0.06549234688282013,
-0.0048024277202785015,
0.021677782759070396,
-0.07043469697237015,
0.012813517823815346,
0.008243762888014317,
0.0313597172498703,
0.003261665580794215,
-0.07010447233915329,
-0.023890776559710503,
-0.03531283512711525,
0.03756855055689812,
0.05022997409105301,
-0.02114024944603443,
0.03150412067770958,
-0.007901196368038654,
-0.01990090310573578,
0.018661824986338615,
-0.03958188742399216,
0.01060436014086008,
-0.030608175322413445,
-0.0501118078827858,
-0.08261942118406296,
0.011807133443653584,
0.035990290343761444,
-0.013798467814922333,
0.019866840913891792,
0.03568987548351288,
-0.049724191427230835,
-0.013377305120229721,
0.0954071581363678,
-0.03607497736811638,
0.03953416645526886,
-0.04029252007603645,
-0.047091204673051834,
0.010218141600489616,
-0.04152132198214531,
0.03128828480839729,
0.05777838081121445,
-0.0067369574680924416,
0.06874030083417892,
0.023878654465079308,
-0.059312865138053894,
-0.059488531202077866,
-0.029061000794172287,
-0.030075185000896454,
-0.04962284490466118,
-0.030347416177392006,
-0.010023285634815693,
-0.009041116572916508,
-0.005049563478678465,
0.01889619790017605,
0.03983604162931442,
-0.0017906046705320477,
0.07024148106575012,
0.013599242083728313,
-0.002825147705152631,
-0.009501774795353413,
0.0352531261742115,
-0.053629327565431595,
-0.0021590152755379677,
0.049964092671871185,
0.0035569581668823957,
0.03828330710530281,
-0.008162560872733593,
-0.05030946433544159,
-0.013254408724606037,
-0.05937032774090767,
-0.007759354542940855,
-0.03981133550405502,
-0.021078569814562798,
0.020773911848664284,
0.010263536125421524,
-0.06431353837251663,
0.018624087795615196,
-0.03917047008872032,
-0.025509415194392204,
-5.5240324314809186e-8,
0.07357703149318695,
0.0549028106033802,
0.00725420331582427,
0.07857923209667206,
-0.02836320735514164,
0.06728656589984894,
-0.08990529924631119,
0.011528781615197659,
0.06448259949684143,
-0.012915229424834251,
0.10374635457992554,
-0.002520412439480424,
0.0121105145663023,
-0.006458163261413574,
-0.00001817176780605223,
-0.032769713550806046,
-0.03309005871415138,
-0.03257143869996071,
0.0389062874019146,
-0.02705971710383892,
0.07085317373275757,
0.052992116659879684,
-0.0750032514333725,
-0.02799961157143116,
-0.010369977913796902,
0.07490728050470352,
-0.054230380803346634,
0.018938252702355385,
0.072502002120018,
-0.10782971233129501,
-0.02708275243639946,
-0.0499933660030365,
-0.016949709504842758,
0.015407358296215534,
-0.1233123242855072,
0.056277889758348465,
-0.1226501613855362,
0.09064207226037979,
0.011317204684019089,
-0.002956407144665718,
-0.019640708342194557,
-0.03784284368157387,
-0.008466475643217564,
-0.037620414048433304,
-0.013962636701762676,
0.01689346320927143,
-0.1262616217136383,
-0.06525571644306183,
-0.09195389598608017,
0.04109039157629013,
-0.011013893410563469,
0.05851761996746063,
0.1253030151128769,
0.056488942354917526,
0.0026820492930710316,
-0.010989862494170666,
-0.1244460865855217,
-0.07357753068208694,
-0.05270596221089363,
-0.054272182285785675,
0.005308692809194326,
0.017265232279896736,
-0.07525055855512619,
0.006490997038781643
] | null | null | null | null | null | null | null |
[
-0.014472916722297668,
-0.06519072502851486,
0.026428114622831345,
0.0034677356015890837,
0.01385424379259348,
-0.024153070524334908,
-0.06769143790006638,
-0.09512172639369965,
0.04893919825553894,
-0.07372560352087021,
-0.057976286858320236,
-0.048974886536598206,
0.03306613862514496,
-0.06862318515777588,
0.06513141095638275,
-0.007836122997105122,
0.0044442033395171165,
0.007636456284672022,
-0.08947382867336273,
0.02716221660375595,
0.017188619822263718,
-0.007389229256659746,
-0.03651813417673111,
0.06455295532941818,
0.05669455975294113,
0.021401455625891685,
-0.015426420606672764,
-0.07124903053045273,
-0.03295045718550682,
-0.0484897755086422,
0.06172012910246849,
-0.003088393248617649,
-0.09410161525011063,
0.02099286951124668,
-0.03958616778254509,
-0.002502202522009611,
0.0786018967628479,
0.09833528101444244,
-0.009362162090837955,
0.13369321823120117,
-0.04389726370573044,
-0.017452100291848183,
0.0630946084856987,
-0.01873999834060669,
-0.012698398903012276,
0.018497327342629433,
0.05639665946364403,
-0.08814723044633865,
-0.005815111566334963,
-0.018549330532550812,
-0.07434405386447906,
0.033710263669490814,
-0.05534299090504646,
0.02536061778664589,
0.015450015664100647,
0.07212380319833755,
0.029211994260549545,
-0.023144355043768883,
0.005335113033652306,
0.0007619092939421535,
-0.06687983125448227,
-0.015508165583014488,
0.01262280996888876,
-0.009460224770009518,
0.0063746715895831585,
-0.06274668127298355,
0.0193012822419405,
0.05209089070558548,
0.02554292604327202,
0.019174965098500252,
0.027878478169441223,
0.006916022393852472,
-0.062188439071178436,
0.02523478865623474,
-0.0009238478378392756,
0.04937096685171127,
0.012796597555279732,
-0.024812528863549232,
-0.027579324319958687,
-0.030868006870150566,
-0.03503113612532616,
0.010816013440489769,
-0.06589370965957642,
-0.04775745049118996,
-0.04738260805606842,
0.032939158380031586,
0.0029257878195494413,
-0.06539899855852127,
-0.07648175954818726,
-0.010980973951518536,
-0.006318345665931702,
-0.014882942661643028,
-0.03852640092372894,
-0.028682664036750793,
0.1441708356142044,
0.04407423362135887,
0.02100166119635105,
-0.0253555029630661,
0.13641250133514404,
0.010459977202117443,
0.016011202707886696,
-0.05446283519268036,
0.007324318867176771,
0.09505107998847961,
0.030307712033391,
0.025212954729795456,
0.03812088072299957,
0.051507607102394104,
-0.0749923512339592,
0.07699719071388245,
0.031892113387584686,
-0.026122719049453735,
-0.00033939446439035237,
-0.058319251984357834,
0.07029880583286285,
0.08032143861055374,
-0.029253147542476654,
-0.008075977675616741,
-0.07497165352106094,
0.036475151777267456,
0.02345098927617073,
0.040048204362392426,
-0.01612493209540844,
0.06370975077152252,
0.03683238476514816,
0.016009535640478134,
0.0192677304148674,
3.371430939489587e-33,
0.011065684258937836,
-0.0460401326417923,
-0.00518608745187521,
0.09668224304914474,
0.017995035275816917,
0.03487865626811981,
-0.0213183481246233,
-0.0036428971216082573,
0.00803753174841404,
0.0933419018983841,
-0.009023088030517101,
0.12461002171039581,
0.0073564499616622925,
-0.0382637195289135,
-0.13810251653194427,
-0.08292453736066818,
-0.01664307340979576,
-0.042243387550115585,
-0.08444201201200485,
-0.0358414500951767,
0.09535613656044006,
0.018014485016465187,
-0.07699403911828995,
0.03920377418398857,
-0.03999947011470795,
0.020409004762768745,
0.0975010097026825,
-0.0026931962929666042,
0.030788177624344826,
0.057803843170404434,
-0.05086996406316757,
-0.0008167873020283878,
-0.04877366125583649,
-0.03174697235226631,
0.0019560891669243574,
-0.0017298180609941483,
-0.04579658806324005,
-0.009187258780002594,
0.018842047080397606,
-0.02077561989426613,
-0.04445985332131386,
-0.011427593417465687,
-0.1343163549900055,
-0.003219195641577244,
-0.04196479916572571,
-0.04218510910868645,
0.08086896687746048,
0.04715995490550995,
-0.009568228386342525,
-0.09771282225847244,
0.04332960024476051,
0.017554448917508125,
0.029925283044576645,
0.04297630116343498,
0.061776503920555115,
-0.03759663179516792,
0.08583824336528778,
-0.07110787183046341,
-0.03396036848425865,
0.006379630416631699,
0.049620840698480606,
0.049748316407203674,
-0.03738762065768242,
0.016140341758728027,
-0.02240704745054245,
-0.006694320123642683,
0.04970531165599823,
0.08214693516492844,
0.05957484990358353,
-0.0487806461751461,
0.041869617998600006,
0.1074993759393692,
-0.021075600758194923,
-0.001530496752820909,
0.04837900400161743,
-0.013598673045635223,
0.004305856302380562,
0.022078990936279297,
-0.05828636512160301,
0.03772540017962456,
-0.09721682965755463,
0.019442785531282425,
-0.010520689189434052,
0.07152777165174484,
-0.05852288380265236,
0.056037236005067825,
-0.018919171765446663,
-0.02082047238945961,
-0.061768464744091034,
-0.018152160570025444,
-0.026089878752827644,
0.005970159079879522,
0.11855537444353104,
-0.04157234728336334,
-0.07113248854875565,
-5.695374822199603e-33,
0.01570223458111286,
0.020694997161626816,
-0.020244713872671127,
0.06369408220052719,
-0.01451745443046093,
0.11515074223279953,
0.12992438673973083,
0.08889363706111908,
-0.015619571320712566,
-0.05426846444606781,
0.008886262774467468,
-0.03270602598786354,
-0.03830968588590622,
-0.0786295235157013,
0.09286987781524658,
-0.11589014530181885,
-0.047249749302864075,
0.041613951325416565,
0.06549234688282013,
-0.0048024277202785015,
0.021677782759070396,
-0.07043469697237015,
0.012813517823815346,
0.008243762888014317,
0.0313597172498703,
0.003261665580794215,
-0.07010447233915329,
-0.023890776559710503,
-0.03531283512711525,
0.03756855055689812,
0.05022997409105301,
-0.02114024944603443,
0.03150412067770958,
-0.007901196368038654,
-0.01990090310573578,
0.018661824986338615,
-0.03958188742399216,
0.01060436014086008,
-0.030608175322413445,
-0.0501118078827858,
-0.08261942118406296,
0.011807133443653584,
0.035990290343761444,
-0.013798467814922333,
0.019866840913891792,
0.03568987548351288,
-0.049724191427230835,
-0.013377305120229721,
0.0954071581363678,
-0.03607497736811638,
0.03953416645526886,
-0.04029252007603645,
-0.047091204673051834,
0.010218141600489616,
-0.04152132198214531,
0.03128828480839729,
0.05777838081121445,
-0.0067369574680924416,
0.06874030083417892,
0.023878654465079308,
-0.059312865138053894,
-0.059488531202077866,
-0.029061000794172287,
-0.030075185000896454,
-0.04962284490466118,
-0.030347416177392006,
-0.010023285634815693,
-0.009041116572916508,
-0.005049563478678465,
0.01889619790017605,
0.03983604162931442,
-0.0017906046705320477,
0.07024148106575012,
0.013599242083728313,
-0.002825147705152631,
-0.009501774795353413,
0.0352531261742115,
-0.053629327565431595,
-0.0021590152755379677,
0.049964092671871185,
0.0035569581668823957,
0.03828330710530281,
-0.008162560872733593,
-0.05030946433544159,
-0.013254408724606037,
-0.05937032774090767,
-0.007759354542940855,
-0.03981133550405502,
-0.021078569814562798,
0.020773911848664284,
0.010263536125421524,
-0.06431353837251663,
0.018624087795615196,
-0.03917047008872032,
-0.025509415194392204,
-5.5240324314809186e-8,
0.07357703149318695,
0.0549028106033802,
0.00725420331582427,
0.07857923209667206,
-0.02836320735514164,
0.06728656589984894,
-0.08990529924631119,
0.011528781615197659,
0.06448259949684143,
-0.012915229424834251,
0.10374635457992554,
-0.002520412439480424,
0.0121105145663023,
-0.006458163261413574,
-0.00001817176780605223,
-0.032769713550806046,
-0.03309005871415138,
-0.03257143869996071,
0.0389062874019146,
-0.02705971710383892,
0.07085317373275757,
0.052992116659879684,
-0.0750032514333725,
-0.02799961157143116,
-0.010369977913796902,
0.07490728050470352,
-0.054230380803346634,
0.018938252702355385,
0.072502002120018,
-0.10782971233129501,
-0.02708275243639946,
-0.0499933660030365,
-0.016949709504842758,
0.015407358296215534,
-0.1233123242855072,
0.056277889758348465,
-0.1226501613855362,
0.09064207226037979,
0.011317204684019089,
-0.002956407144665718,
-0.019640708342194557,
-0.03784284368157387,
-0.008466475643217564,
-0.037620414048433304,
-0.013962636701762676,
0.01689346320927143,
-0.1262616217136383,
-0.06525571644306183,
-0.09195389598608017,
0.04109039157629013,
-0.011013893410563469,
0.05851761996746063,
0.1253030151128769,
0.056488942354917526,
0.0026820492930710316,
-0.010989862494170666,
-0.1244460865855217,
-0.07357753068208694,
-0.05270596221089363,
-0.054272182285785675,
0.005308692809194326,
0.017265232279896736,
-0.07525055855512619,
0.006490997038781643
] |
1401.8007
|
Xiangbao Yin Yin Xiangbao
|
Xiangbao Yin
|
The effect of incident angle of pumping light on Cholesteric Liquid
Crystal tunable laser wavelength
| null | null | null | null |
physics.optics
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
One notable feature of dye doped cholesteric liquid crystal is the variation
of pitch and refractive index as the incidence angle of the pumping light
shifts. Based on this feature, this paper studies the effects of pumping
light's incidence angle on emission properties of the dye doped cholesteric
liquid crystal tunable laser. First, we investigated the relationship among the
concentration of chiral reagent, the incidence angle of the pumping light, and
the pitch of liquid-crystal display (LCD); then we made a tunable-wavelength
laser and pumped the prepared sample with 532nm laser outputted from the Nd:
YAG multi-frequency pulse laser. As the incident angle of the pumping light
shifts between 20 {\deg} ~ 90 {\deg}, the tuning range of the wavelength
emitted by the laser reaches 10.73nm, ranging between 647.38nm and 658.11nm.
|
[
{
"created": "Wed, 29 Jan 2014 04:47:21 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Yin",
"Xiangbao",
""
]
] |
[
0.0348314605653286,
-0.09062493592500687,
0.022549912333488464,
-0.10703454166650772,
-0.060488976538181305,
0.024912996217608452,
0.07346269488334656,
0.013024902902543545,
0.0007863171631470323,
-0.07360320538282394,
-0.026185089722275734,
0.0568249486386776,
0.02779376320540905,
0.015476123429834843,
0.027698783203959465,
0.04487749934196472,
-0.00457982299849391,
-0.028908103704452515,
0.014399929903447628,
-0.00039184343768283725,
0.10253102332353592,
-0.11994925886392593,
0.02120877429842949,
-0.028244376182556152,
-0.11597499996423721,
0.004526843316853046,
-0.002046016277745366,
0.04531816765666008,
-0.043816570192575455,
0.01877433992922306,
0.0056381565518677235,
0.016366729512810707,
-0.1007266491651535,
0.020659277215600014,
-0.02086000144481659,
-0.09601661562919617,
0.08058124780654907,
0.027576133608818054,
-0.032463330775499344,
0.06562909483909607,
0.07031917572021484,
0.014023619703948498,
0.07568074762821198,
0.07689365744590759,
-0.026507901027798653,
-0.013757661916315556,
0.03517118841409683,
-0.0798499658703804,
-0.11011531949043274,
-0.03060687705874443,
-0.09088101238012314,
0.023053577169775963,
0.007861663587391376,
-0.04798167571425438,
-0.0366506427526474,
0.11933355033397675,
0.049238018691539764,
-0.037775393575429916,
0.10047806054353714,
-0.03000321052968502,
-0.04603228345513344,
0.05922219529747963,
-0.004098241683095694,
-0.09427422285079956,
-0.016256071627140045,
-0.01718393713235855,
-0.04195168614387512,
-0.06011894345283508,
0.008333295583724976,
-0.039984047412872314,
0.01197578851133585,
-0.06311389803886414,
-0.016113003715872765,
-0.01908641867339611,
-0.045788686722517014,
-0.02477456070482731,
-0.025409597903490067,
0.032424211502075195,
0.01993810385465622,
-0.020396079868078232,
-0.022988660261034966,
-0.11165886372327805,
-0.026663031429052353,
0.14665958285331726,
0.009292347356677055,
-0.04436185583472252,
0.07175683230161667,
-0.024628734216094017,
-0.021741095930337906,
-0.0013896377058699727,
-0.055303219705820084,
0.018525252118706703,
-0.026293231174349785,
-0.07276754826307297,
-0.025635983794927597,
-0.02317804843187332,
0.07443809509277344,
-0.026408910751342773,
0.03616426885128021,
-0.025624481961131096,
0.11367152631282806,
-0.06429725140333176,
0.011809742078185081,
0.04075256362557411,
-0.11811359971761703,
-0.07334089279174805,
0.068914033472538,
0.12393999099731445,
-0.009073196910321712,
0.019298972561955452,
0.007260889280587435,
0.030158182606101036,
0.009740586392581463,
-0.005039151757955551,
-0.014843469485640526,
0.11993635445833206,
-0.14510631561279297,
-0.05740158259868622,
0.016177549958229065,
0.05705522000789642,
-0.025643065571784973,
0.04486475884914398,
-0.011087990365922451,
0.05558023229241371,
0.020917920395731926,
0.029919635504484177,
0.014828923158347607,
9.808636185593143e-34,
0.022202428430318832,
0.014810201711952686,
0.023303046822547913,
-0.03467864915728569,
-0.05042358115315437,
0.010215796530246735,
-0.059113167226314545,
0.01437182817608118,
0.014603852294385433,
-0.013758562505245209,
0.05380794033408165,
0.04882703348994255,
-0.07323551923036575,
-0.0010844167554751039,
-0.06678444892168045,
0.0006857938715256751,
0.07886562496423721,
0.05485701933503151,
-0.093455009162426,
0.04628214240074158,
-0.006980918347835541,
0.047221411019563675,
-0.0006953912088647485,
0.0032633065711706877,
-0.02119382657110691,
-0.031199539080262184,
-0.06359459459781647,
0.03919745609164238,
0.06917218863964081,
0.004125955048948526,
0.09407305717468262,
0.03508584946393967,
0.039312202483415604,
-0.028254875913262367,
-0.010828323662281036,
-0.016396811231970787,
-0.058548521250486374,
0.025096314027905464,
0.03392774984240532,
0.02617582492530346,
0.024278251454234123,
0.04291382059454918,
0.08650300651788712,
-0.004170100670307875,
-0.018741771578788757,
0.041810452938079834,
-0.053049445152282715,
-0.09898162633180618,
0.021177034825086594,
-0.099941685795784,
-0.018327387049794197,
-0.014978108927607536,
-0.022933656349778175,
0.1140303909778595,
0.08195094019174576,
0.0008111820789054036,
-0.012135645374655724,
0.038244906812906265,
-0.021532099694013596,
-0.010533373802900314,
0.004877081140875816,
-0.0025976530741900206,
0.039405591785907745,
-0.03892192244529724,
0.0031012073159217834,
0.028588684275746346,
0.06682475656270981,
-0.0649804174900055,
0.008858701214194298,
-0.017865484580397606,
-0.02202356606721878,
-0.021086445078253746,
0.04735087603330612,
0.0027167806401848793,
0.003942451905459166,
0.01663152500987053,
0.08840512484312057,
0.028994591906666756,
0.01821315661072731,
0.02175961062312126,
-0.014098353683948517,
0.01703130453824997,
-0.004955857526510954,
-0.08275532722473145,
-0.02684399113059044,
-0.015411128289997578,
-0.08664079010486603,
-0.029895048588514328,
0.004206786397844553,
0.024155421182513237,
-0.003748603630810976,
-0.048696912825107574,
-0.05331926792860031,
-0.050185736268758774,
-0.0070646982640028,
-2.187008525401812e-33,
-0.02829725667834282,
-0.05769510567188263,
0.0032717054709792137,
0.05455020070075989,
0.07362349331378937,
0.06252390146255493,
0.11222075670957565,
0.06743475049734116,
0.043358996510505676,
-0.06926102936267853,
-0.00861908495426178,
-0.03885670751333237,
-0.028664395213127136,
-0.0040514348074793816,
-0.11319760978221893,
0.0322444774210453,
0.017752405256032944,
0.06279116868972778,
0.06784598529338837,
0.009941107593476772,
-0.10956823080778122,
0.04608507454395294,
0.06038196012377739,
0.0962141901254654,
0.056309930980205536,
0.03309548646211624,
0.053841087967157364,
-0.009117227047681808,
-0.000462000461993739,
0.030098535120487213,
0.03566348925232887,
0.030848365277051926,
0.0718764066696167,
0.03219201788306236,
-0.020639294758439064,
-0.022859476506710052,
0.019716210663318634,
0.008857005275785923,
-0.05620831251144409,
0.07883153110742569,
0.0015751193277537823,
0.005342644639313221,
0.080875925719738,
-0.035662535578012466,
-0.04629427567124367,
0.08210711181163788,
0.017670786008238792,
-0.07684904336929321,
-0.00363294780254364,
-0.03821563348174095,
-0.020994501188397408,
-0.060223717242479324,
0.022296195849776268,
-0.04088043048977852,
-0.001525649568066001,
0.004350211936980486,
0.03152769058942795,
0.09247296303510666,
-0.019970333203673363,
0.07391347736120224,
-0.018164271488785744,
0.08947289735078812,
0.018895721063017845,
-0.06835659593343735,
-0.04583961144089699,
0.05256114900112152,
0.0207936130464077,
-0.01743173599243164,
0.06196994706988335,
-0.05428854376077652,
-0.011561770923435688,
0.01945546641945839,
0.03149626404047012,
0.10731671005487442,
0.05347359925508499,
0.03472563996911049,
-0.060957614332437515,
0.030088484287261963,
-0.06959158927202225,
0.019167274236679077,
0.00615474721416831,
0.07294099777936935,
-0.08103202283382416,
-0.02288743108510971,
0.04966896399855614,
-0.05299067124724388,
0.03040090762078762,
-0.007175518665462732,
-0.024805808439850807,
-0.05103502795100212,
0.060063932090997696,
-0.0593888983130455,
-0.09257090091705322,
-0.04667719453573227,
0.11831904947757721,
-4.394585317868405e-8,
0.03752225264906883,
-0.030318154022097588,
0.009741929359734058,
0.049721863120794296,
-0.027699200436472893,
-0.02676740474998951,
0.041881538927555084,
0.00270484178327024,
0.01096398662775755,
-0.08893418312072754,
-0.02012478932738304,
0.012270468287169933,
-0.0019250883487984538,
0.002583886729553342,
-0.009205985814332962,
0.011488436721265316,
0.03363342583179474,
-0.05488459765911102,
-0.00800312403589487,
0.07199738174676895,
0.031283896416425705,
0.013414118438959122,
-0.006822403520345688,
-0.02836339920759201,
-0.09803012013435364,
0.036488499492406845,
-0.01934683509171009,
0.04358025640249252,
0.02294773980975151,
-0.030557522550225258,
0.08469946682453156,
-0.03531115502119064,
-0.004869221244007349,
-0.036774154752492905,
-0.04004022851586342,
-0.037668030709028244,
-0.09307273477315903,
-0.03208311274647713,
0.02445031702518463,
0.048286281526088715,
0.04271715506911278,
0.024520423263311386,
-0.0495460145175457,
0.02318686619400978,
0.01569310389459133,
0.024782389402389526,
-0.06480769068002701,
-0.029802031815052032,
-0.07995317131280899,
0.04714648798108101,
-0.07097893953323364,
0.06840696185827255,
0.016978638246655464,
-0.023974573239684105,
-0.04990755021572113,
-0.019518086686730385,
-0.013324758037924767,
0.06213891878724098,
-0.059734564274549484,
-0.01907179318368435,
0.08648977428674698,
-0.11200500279664993,
0.04593292996287346,
-0.05100708827376366
] | null | null | null | null | null | null | null |
[
0.0348314605653286,
-0.09062493592500687,
0.022549912333488464,
-0.10703454166650772,
-0.060488976538181305,
0.024912996217608452,
0.07346269488334656,
0.013024902902543545,
0.0007863171631470323,
-0.07360320538282394,
-0.026185089722275734,
0.0568249486386776,
0.02779376320540905,
0.015476123429834843,
0.027698783203959465,
0.04487749934196472,
-0.00457982299849391,
-0.028908103704452515,
0.014399929903447628,
-0.00039184343768283725,
0.10253102332353592,
-0.11994925886392593,
0.02120877429842949,
-0.028244376182556152,
-0.11597499996423721,
0.004526843316853046,
-0.002046016277745366,
0.04531816765666008,
-0.043816570192575455,
0.01877433992922306,
0.0056381565518677235,
0.016366729512810707,
-0.1007266491651535,
0.020659277215600014,
-0.02086000144481659,
-0.09601661562919617,
0.08058124780654907,
0.027576133608818054,
-0.032463330775499344,
0.06562909483909607,
0.07031917572021484,
0.014023619703948498,
0.07568074762821198,
0.07689365744590759,
-0.026507901027798653,
-0.013757661916315556,
0.03517118841409683,
-0.0798499658703804,
-0.11011531949043274,
-0.03060687705874443,
-0.09088101238012314,
0.023053577169775963,
0.007861663587391376,
-0.04798167571425438,
-0.0366506427526474,
0.11933355033397675,
0.049238018691539764,
-0.037775393575429916,
0.10047806054353714,
-0.03000321052968502,
-0.04603228345513344,
0.05922219529747963,
-0.004098241683095694,
-0.09427422285079956,
-0.016256071627140045,
-0.01718393713235855,
-0.04195168614387512,
-0.06011894345283508,
0.008333295583724976,
-0.039984047412872314,
0.01197578851133585,
-0.06311389803886414,
-0.016113003715872765,
-0.01908641867339611,
-0.045788686722517014,
-0.02477456070482731,
-0.025409597903490067,
0.032424211502075195,
0.01993810385465622,
-0.020396079868078232,
-0.022988660261034966,
-0.11165886372327805,
-0.026663031429052353,
0.14665958285331726,
0.009292347356677055,
-0.04436185583472252,
0.07175683230161667,
-0.024628734216094017,
-0.021741095930337906,
-0.0013896377058699727,
-0.055303219705820084,
0.018525252118706703,
-0.026293231174349785,
-0.07276754826307297,
-0.025635983794927597,
-0.02317804843187332,
0.07443809509277344,
-0.026408910751342773,
0.03616426885128021,
-0.025624481961131096,
0.11367152631282806,
-0.06429725140333176,
0.011809742078185081,
0.04075256362557411,
-0.11811359971761703,
-0.07334089279174805,
0.068914033472538,
0.12393999099731445,
-0.009073196910321712,
0.019298972561955452,
0.007260889280587435,
0.030158182606101036,
0.009740586392581463,
-0.005039151757955551,
-0.014843469485640526,
0.11993635445833206,
-0.14510631561279297,
-0.05740158259868622,
0.016177549958229065,
0.05705522000789642,
-0.025643065571784973,
0.04486475884914398,
-0.011087990365922451,
0.05558023229241371,
0.020917920395731926,
0.029919635504484177,
0.014828923158347607,
9.808636185593143e-34,
0.022202428430318832,
0.014810201711952686,
0.023303046822547913,
-0.03467864915728569,
-0.05042358115315437,
0.010215796530246735,
-0.059113167226314545,
0.01437182817608118,
0.014603852294385433,
-0.013758562505245209,
0.05380794033408165,
0.04882703348994255,
-0.07323551923036575,
-0.0010844167554751039,
-0.06678444892168045,
0.0006857938715256751,
0.07886562496423721,
0.05485701933503151,
-0.093455009162426,
0.04628214240074158,
-0.006980918347835541,
0.047221411019563675,
-0.0006953912088647485,
0.0032633065711706877,
-0.02119382657110691,
-0.031199539080262184,
-0.06359459459781647,
0.03919745609164238,
0.06917218863964081,
0.004125955048948526,
0.09407305717468262,
0.03508584946393967,
0.039312202483415604,
-0.028254875913262367,
-0.010828323662281036,
-0.016396811231970787,
-0.058548521250486374,
0.025096314027905464,
0.03392774984240532,
0.02617582492530346,
0.024278251454234123,
0.04291382059454918,
0.08650300651788712,
-0.004170100670307875,
-0.018741771578788757,
0.041810452938079834,
-0.053049445152282715,
-0.09898162633180618,
0.021177034825086594,
-0.099941685795784,
-0.018327387049794197,
-0.014978108927607536,
-0.022933656349778175,
0.1140303909778595,
0.08195094019174576,
0.0008111820789054036,
-0.012135645374655724,
0.038244906812906265,
-0.021532099694013596,
-0.010533373802900314,
0.004877081140875816,
-0.0025976530741900206,
0.039405591785907745,
-0.03892192244529724,
0.0031012073159217834,
0.028588684275746346,
0.06682475656270981,
-0.0649804174900055,
0.008858701214194298,
-0.017865484580397606,
-0.02202356606721878,
-0.021086445078253746,
0.04735087603330612,
0.0027167806401848793,
0.003942451905459166,
0.01663152500987053,
0.08840512484312057,
0.028994591906666756,
0.01821315661072731,
0.02175961062312126,
-0.014098353683948517,
0.01703130453824997,
-0.004955857526510954,
-0.08275532722473145,
-0.02684399113059044,
-0.015411128289997578,
-0.08664079010486603,
-0.029895048588514328,
0.004206786397844553,
0.024155421182513237,
-0.003748603630810976,
-0.048696912825107574,
-0.05331926792860031,
-0.050185736268758774,
-0.0070646982640028,
-2.187008525401812e-33,
-0.02829725667834282,
-0.05769510567188263,
0.0032717054709792137,
0.05455020070075989,
0.07362349331378937,
0.06252390146255493,
0.11222075670957565,
0.06743475049734116,
0.043358996510505676,
-0.06926102936267853,
-0.00861908495426178,
-0.03885670751333237,
-0.028664395213127136,
-0.0040514348074793816,
-0.11319760978221893,
0.0322444774210453,
0.017752405256032944,
0.06279116868972778,
0.06784598529338837,
0.009941107593476772,
-0.10956823080778122,
0.04608507454395294,
0.06038196012377739,
0.0962141901254654,
0.056309930980205536,
0.03309548646211624,
0.053841087967157364,
-0.009117227047681808,
-0.000462000461993739,
0.030098535120487213,
0.03566348925232887,
0.030848365277051926,
0.0718764066696167,
0.03219201788306236,
-0.020639294758439064,
-0.022859476506710052,
0.019716210663318634,
0.008857005275785923,
-0.05620831251144409,
0.07883153110742569,
0.0015751193277537823,
0.005342644639313221,
0.080875925719738,
-0.035662535578012466,
-0.04629427567124367,
0.08210711181163788,
0.017670786008238792,
-0.07684904336929321,
-0.00363294780254364,
-0.03821563348174095,
-0.020994501188397408,
-0.060223717242479324,
0.022296195849776268,
-0.04088043048977852,
-0.001525649568066001,
0.004350211936980486,
0.03152769058942795,
0.09247296303510666,
-0.019970333203673363,
0.07391347736120224,
-0.018164271488785744,
0.08947289735078812,
0.018895721063017845,
-0.06835659593343735,
-0.04583961144089699,
0.05256114900112152,
0.0207936130464077,
-0.01743173599243164,
0.06196994706988335,
-0.05428854376077652,
-0.011561770923435688,
0.01945546641945839,
0.03149626404047012,
0.10731671005487442,
0.05347359925508499,
0.03472563996911049,
-0.060957614332437515,
0.030088484287261963,
-0.06959158927202225,
0.019167274236679077,
0.00615474721416831,
0.07294099777936935,
-0.08103202283382416,
-0.02288743108510971,
0.04966896399855614,
-0.05299067124724388,
0.03040090762078762,
-0.007175518665462732,
-0.024805808439850807,
-0.05103502795100212,
0.060063932090997696,
-0.0593888983130455,
-0.09257090091705322,
-0.04667719453573227,
0.11831904947757721,
-4.394585317868405e-8,
0.03752225264906883,
-0.030318154022097588,
0.009741929359734058,
0.049721863120794296,
-0.027699200436472893,
-0.02676740474998951,
0.041881538927555084,
0.00270484178327024,
0.01096398662775755,
-0.08893418312072754,
-0.02012478932738304,
0.012270468287169933,
-0.0019250883487984538,
0.002583886729553342,
-0.009205985814332962,
0.011488436721265316,
0.03363342583179474,
-0.05488459765911102,
-0.00800312403589487,
0.07199738174676895,
0.031283896416425705,
0.013414118438959122,
-0.006822403520345688,
-0.02836339920759201,
-0.09803012013435364,
0.036488499492406845,
-0.01934683509171009,
0.04358025640249252,
0.02294773980975151,
-0.030557522550225258,
0.08469946682453156,
-0.03531115502119064,
-0.004869221244007349,
-0.036774154752492905,
-0.04004022851586342,
-0.037668030709028244,
-0.09307273477315903,
-0.03208311274647713,
0.02445031702518463,
0.048286281526088715,
0.04271715506911278,
0.024520423263311386,
-0.0495460145175457,
0.02318686619400978,
0.01569310389459133,
0.024782389402389526,
-0.06480769068002701,
-0.029802031815052032,
-0.07995317131280899,
0.04714648798108101,
-0.07097893953323364,
0.06840696185827255,
0.016978638246655464,
-0.023974573239684105,
-0.04990755021572113,
-0.019518086686730385,
-0.013324758037924767,
0.06213891878724098,
-0.059734564274549484,
-0.01907179318368435,
0.08648977428674698,
-0.11200500279664993,
0.04593292996287346,
-0.05100708827376366
] |
1401.8008
|
David Venuto
|
David Venuto, Toby Dylan Hocking, Lakjaree Sphanurattana, Masashi
Sugiyama
|
Support vector comparison machines
| null | null | null | null |
stat.ML cs.LG
|
http://creativecommons.org/licenses/by/4.0/
|
In ranking problems, the goal is to learn a ranking function from labeled
pairs of input points. In this paper, we consider the related comparison
problem, where the label indicates which element of the pair is better, or if
there is no significant difference. We cast the learning problem as a margin
maximization, and show that it can be solved by converting it to a standard
SVM. We use simulated nonlinear patterns, a real learning to rank sushi data
set, and a chess data set to show that our proposed SVMcompare algorithm
outperforms SVMrank when there are equality pairs.
|
[
{
"created": "Thu, 30 Jan 2014 21:49:16 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2017 21:44:21 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jul 2020 23:55:11 GMT",
"version": "v3"
}
] |
2020-07-27
|
[
[
"Venuto",
"David",
""
],
[
"Hocking",
"Toby Dylan",
""
],
[
"Sphanurattana",
"Lakjaree",
""
],
[
"Sugiyama",
"Masashi",
""
]
] |
[
-0.031011460348963737,
-0.012738258577883244,
-0.07020191848278046,
-0.050291068851947784,
-0.023310896009206772,
0.05479835718870163,
0.00902736559510231,
0.04505453258752823,
-0.0068573905155062675,
-0.00936443917453289,
-0.030628463253378868,
0.03488076105713844,
0.06563561409711838,
0.028364060446619987,
-0.04581007361412048,
-0.014367109164595604,
0.09160672128200531,
0.056300342082977295,
-0.005080746486783028,
0.03910341486334801,
-0.08158743381500244,
-0.0954296663403511,
-0.060974303632974625,
0.013182216323912144,
0.04869161918759346,
-0.027617838233709335,
0.0036773851606994867,
0.10662408173084259,
-0.003435420570895076,
-0.047711458057165146,
-0.011688103899359703,
-0.01784418150782585,
0.05334077775478363,
-0.015188464894890785,
-0.12237618863582611,
-0.0034272498451173306,
-0.0922950804233551,
-0.04759060591459274,
0.02594110555946827,
0.016841931268572807,
-0.03581240400671959,
0.018071264028549194,
0.008686855435371399,
-0.01586206816136837,
0.05458415672183037,
0.16557610034942627,
-0.06301141530275345,
-0.053545333445072174,
0.02892761118710041,
0.04170612990856171,
-0.1900252401828766,
-0.016458895057439804,
-0.04832791909575462,
0.03749909624457359,
-0.04153292253613472,
0.03345988318324089,
-0.020671002566814423,
-0.05581287667155266,
0.0166198518127203,
-0.03801824152469635,
-0.02175319939851761,
-0.057859182357788086,
0.036383554339408875,
-0.047651782631874084,
-0.020281245931982994,
-0.013581120409071445,
0.01866055279970169,
0.07068456709384918,
-0.09340083599090576,
0.08204381167888641,
0.042295102030038834,
0.10034596174955368,
-0.0035863465163856745,
0.02067636325955391,
-0.03806382417678833,
0.0370960533618927,
-0.04944857954978943,
-0.023646265268325806,
0.05862017720937729,
0.008697615936398506,
-0.01708444207906723,
-0.030049677938222885,
-0.031567592173814774,
0.032933443784713745,
0.08571960031986237,
-0.045138146728277206,
0.0740974098443985,
-0.06147473305463791,
0.023442720994353294,
0.03304869309067726,
0.044193774461746216,
0.05064146965742111,
0.0867457240819931,
-0.034690164029598236,
-0.040448982268571854,
0.006088785827159882,
0.005512764677405357,
0.061474498361349106,
0.05116458982229233,
0.07765372097492218,
-0.06495848298072815,
0.057840459048748016,
-0.03863067924976349,
-0.07086441665887833,
0.08058596402406693,
0.05758799612522125,
0.006898708175867796,
0.015759428963065147,
0.10817107558250427,
-0.21104216575622559,
-0.01885637640953064,
-0.04459378868341446,
-0.09370230883359909,
0.006547194439917803,
-0.0197107195854187,
-0.012980991043150425,
0.13761568069458008,
0.0004452950961422175,
0.020102696493268013,
-0.007488476578146219,
0.013110359199345112,
-0.0028138954658061266,
0.02952229045331478,
0.009869524277746677,
-0.0021012104116380215,
-0.007842733524739742,
-0.005450356751680374,
7.063754939022366e-34,
0.013403120450675488,
-0.025694595649838448,
0.039560265839099884,
-0.09326261281967163,
0.02059701271355152,
-0.056864023208618164,
-0.05798692628741264,
-0.11961247771978378,
-0.02895631082355976,
-0.015001596882939339,
-0.04472743719816208,
0.03664502501487732,
0.0225948728621006,
-0.001788556226529181,
0.07021307945251465,
-0.046387095004320145,
0.0101932343095541,
0.008229621686041355,
-0.07766793668270111,
-0.07285204529762268,
0.08455311506986618,
-0.022640850394964218,
0.08917591720819473,
-0.11357705295085907,
0.03059997782111168,
-0.03928007185459137,
-0.045779503881931305,
-0.012271312065422535,
0.02245163917541504,
-0.05908580124378204,
0.0025467860978096724,
-0.042042121291160583,
-0.0456223264336586,
0.056785259395837784,
0.029061881825327873,
-0.008054655976593494,
-0.009406882338225842,
0.018781468272209167,
-0.013745064847171307,
-0.05215582251548767,
-0.018811505287885666,
-0.04469025507569313,
-0.021424904465675354,
-0.049669187515974045,
-0.003464675974100828,
0.047150325030088425,
-0.04214572533965111,
0.03167271241545677,
0.059129498898983,
-0.06949556618928909,
-0.03506098687648773,
-0.004745925776660442,
0.04954449459910393,
-0.0013333526439964771,
-0.01349311787635088,
0.01981166936457157,
0.06323624402284622,
0.03768206760287285,
-0.04821767285466194,
-0.018183963373303413,
-0.011887319386005402,
-0.0020807222463190556,
0.023836815729737282,
-0.001235602772794664,
-0.017207864671945572,
-0.018564298748970032,
0.03895451873540878,
-0.0045431568287312984,
0.08699233084917068,
-0.03644861653447151,
0.01691790670156479,
-0.018830792978405952,
0.008578692562878132,
-0.01738773286342621,
0.03457936272025108,
0.06445460021495819,
-0.0018260387005284429,
-0.04905157908797264,
-0.0036088598426431417,
-0.042580317705869675,
-0.04677798971533775,
-0.062373287975788116,
0.05529724061489105,
-0.12429056316614151,
-0.006751745939254761,
0.0005156045081093907,
0.03755117207765579,
-0.04841473326086998,
0.007862940430641174,
0.03183140605688095,
-0.07951895892620087,
0.0152047174051404,
-0.045003995299339294,
0.0021215977612882853,
0.039157502353191376,
-9.026616528189538e-34,
-0.06303223967552185,
0.04754076898097992,
0.06111855432391167,
0.085258848965168,
0.000640365993604064,
0.03306642547249794,
-0.025394322350621223,
-0.0019507891265675426,
-0.051702409982681274,
0.03933075815439224,
0.011272202245891094,
0.0253892932087183,
0.04864642769098282,
-0.06019889935851097,
0.014474531635642052,
0.030111229047179222,
-0.011526740156114101,
-0.006766780745238066,
-0.07904551178216934,
-0.019701946526765823,
0.02623516134917736,
0.10239985585212708,
0.010953190736472607,
0.11918170750141144,
-0.02072162739932537,
0.009097442962229252,
0.13937042653560638,
0.08222799748182297,
-0.04440414905548096,
-0.010774940252304077,
0.028237540274858475,
-0.01617962308228016,
-0.021875619888305664,
-0.024416102096438408,
-0.05311719328165054,
0.01264007668942213,
0.02490852214396,
-0.03164153918623924,
0.0028066544327884912,
0.14347246289253235,
0.005277957301586866,
-0.019206412136554718,
-0.08229950070381165,
-0.007590595632791519,
0.020458949729800224,
0.02156692184507847,
-0.04710885509848595,
-0.0108540253713727,
0.05183316394686699,
-0.057857200503349304,
-0.002996787428855896,
0.0322757251560688,
-0.08004360646009445,
0.005038843024522066,
-0.0600777342915535,
-0.014487821608781815,
-0.1192672848701477,
0.08009175211191177,
0.04314044862985611,
0.015428576618432999,
0.05515037849545479,
0.01709085702896118,
0.006715757306665182,
0.06289949268102646,
-0.005511438474059105,
0.00012219100608490407,
-0.008462811820209026,
0.03385046124458313,
-0.032915741205215454,
0.037841130048036575,
0.008237787522375584,
0.05300285667181015,
0.016340749338269234,
-0.02128082513809204,
-0.08277084678411484,
0.031211141496896744,
-0.008283188566565514,
0.08509326726198196,
0.05451471731066704,
0.011260527186095715,
0.09498205780982971,
0.017107902094721794,
0.04144813120365143,
0.08557087182998657,
0.005097348242998123,
0.09495465457439423,
0.11802313476800919,
0.018044203519821167,
0.033509861677885056,
-0.08164665102958679,
-0.0062402053736150265,
-0.03182121738791466,
0.0373380184173584,
-0.04810122027993202,
-0.0237114280462265,
-4.138120246466315e-8,
-0.04076281934976578,
-0.039471399039030075,
-0.011742332950234413,
0.06719740480184555,
-0.0034768707118928432,
0.0446658656001091,
-0.02381180226802826,
0.03040023148059845,
-0.10796993970870972,
0.06042523309588432,
0.008611870929598808,
0.009160313755273819,
-0.036458294838666916,
0.013196838088333607,
0.00207973038777709,
0.04028793051838875,
-0.035256221890449524,
0.019503241404891014,
0.01774258352816105,
-0.037470243871212006,
0.015805061906576157,
0.024026310071349144,
0.06463941931724548,
0.056129682809114456,
0.011127028614282608,
-0.013804644346237183,
-0.02388937398791313,
-0.013966027647256851,
0.08550217747688293,
0.07501119375228882,
0.053672630339860916,
-0.017412837594747543,
0.07104941457509995,
-0.055020447820425034,
0.07265988737344742,
0.06187455356121063,
-0.04661894962191582,
-0.029008937999606133,
-0.07006501406431198,
-0.022508947178721428,
-0.07675912231206894,
0.015455109998583794,
-0.05562349781394005,
-0.031408198177814484,
0.01938650570809841,
0.06706641614437103,
0.010356791317462921,
-0.07102543115615845,
0.02098807319998741,
-0.05760401114821434,
0.03649238124489784,
-0.04457293823361397,
0.0082863075658679,
-0.02663477323949337,
0.09342240542173386,
-0.00029670269577763975,
-0.03429118171334267,
0.05411533638834953,
0.05304330214858055,
0.035309042781591415,
0.04229351505637169,
-0.03527906909584999,
0.029339095577597618,
0.06088996306061745
] |
Support vector comparison machines
|
https://arxiv.org/abs/1401.8008v3
|
https://arxiv.org/pdf/1401.8008v3.pdf
|
https://github.com/tdhock/rankSVMcompare
| true | true |
https://paperswithcode.com/paper/support-vector-comparison-machines
|
[
-0.031011460348963737,
-0.012738258577883244,
-0.07020191848278046,
-0.050291068851947784,
-0.023310896009206772,
0.05479835718870163,
0.00902736559510231,
0.04505453258752823,
-0.0068573905155062675,
-0.00936443917453289,
-0.030628463253378868,
0.03488076105713844,
0.06563561409711838,
0.028364060446619987,
-0.04581007361412048,
-0.014367109164595604,
0.09160672128200531,
0.056300342082977295,
-0.005080746486783028,
0.03910341486334801,
-0.08158743381500244,
-0.0954296663403511,
-0.060974303632974625,
0.013182216323912144,
0.04869161918759346,
-0.027617838233709335,
0.0036773851606994867,
0.10662408173084259,
-0.003435420570895076,
-0.047711458057165146,
-0.011688103899359703,
-0.01784418150782585,
0.05334077775478363,
-0.015188464894890785,
-0.12237618863582611,
-0.0034272498451173306,
-0.0922950804233551,
-0.04759060591459274,
0.02594110555946827,
0.016841931268572807,
-0.03581240400671959,
0.018071264028549194,
0.008686855435371399,
-0.01586206816136837,
0.05458415672183037,
0.16557610034942627,
-0.06301141530275345,
-0.053545333445072174,
0.02892761118710041,
0.04170612990856171,
-0.1900252401828766,
-0.016458895057439804,
-0.04832791909575462,
0.03749909624457359,
-0.04153292253613472,
0.03345988318324089,
-0.020671002566814423,
-0.05581287667155266,
0.0166198518127203,
-0.03801824152469635,
-0.02175319939851761,
-0.057859182357788086,
0.036383554339408875,
-0.047651782631874084,
-0.020281245931982994,
-0.013581120409071445,
0.01866055279970169,
0.07068456709384918,
-0.09340083599090576,
0.08204381167888641,
0.042295102030038834,
0.10034596174955368,
-0.0035863465163856745,
0.02067636325955391,
-0.03806382417678833,
0.0370960533618927,
-0.04944857954978943,
-0.023646265268325806,
0.05862017720937729,
0.008697615936398506,
-0.01708444207906723,
-0.030049677938222885,
-0.031567592173814774,
0.032933443784713745,
0.08571960031986237,
-0.045138146728277206,
0.0740974098443985,
-0.06147473305463791,
0.023442720994353294,
0.03304869309067726,
0.044193774461746216,
0.05064146965742111,
0.0867457240819931,
-0.034690164029598236,
-0.040448982268571854,
0.006088785827159882,
0.005512764677405357,
0.061474498361349106,
0.05116458982229233,
0.07765372097492218,
-0.06495848298072815,
0.057840459048748016,
-0.03863067924976349,
-0.07086441665887833,
0.08058596402406693,
0.05758799612522125,
0.006898708175867796,
0.015759428963065147,
0.10817107558250427,
-0.21104216575622559,
-0.01885637640953064,
-0.04459378868341446,
-0.09370230883359909,
0.006547194439917803,
-0.0197107195854187,
-0.012980991043150425,
0.13761568069458008,
0.0004452950961422175,
0.020102696493268013,
-0.007488476578146219,
0.013110359199345112,
-0.0028138954658061266,
0.02952229045331478,
0.009869524277746677,
-0.0021012104116380215,
-0.007842733524739742,
-0.005450356751680374,
7.063754939022366e-34,
0.013403120450675488,
-0.025694595649838448,
0.039560265839099884,
-0.09326261281967163,
0.02059701271355152,
-0.056864023208618164,
-0.05798692628741264,
-0.11961247771978378,
-0.02895631082355976,
-0.015001596882939339,
-0.04472743719816208,
0.03664502501487732,
0.0225948728621006,
-0.001788556226529181,
0.07021307945251465,
-0.046387095004320145,
0.0101932343095541,
0.008229621686041355,
-0.07766793668270111,
-0.07285204529762268,
0.08455311506986618,
-0.022640850394964218,
0.08917591720819473,
-0.11357705295085907,
0.03059997782111168,
-0.03928007185459137,
-0.045779503881931305,
-0.012271312065422535,
0.02245163917541504,
-0.05908580124378204,
0.0025467860978096724,
-0.042042121291160583,
-0.0456223264336586,
0.056785259395837784,
0.029061881825327873,
-0.008054655976593494,
-0.009406882338225842,
0.018781468272209167,
-0.013745064847171307,
-0.05215582251548767,
-0.018811505287885666,
-0.04469025507569313,
-0.021424904465675354,
-0.049669187515974045,
-0.003464675974100828,
0.047150325030088425,
-0.04214572533965111,
0.03167271241545677,
0.059129498898983,
-0.06949556618928909,
-0.03506098687648773,
-0.004745925776660442,
0.04954449459910393,
-0.0013333526439964771,
-0.01349311787635088,
0.01981166936457157,
0.06323624402284622,
0.03768206760287285,
-0.04821767285466194,
-0.018183963373303413,
-0.011887319386005402,
-0.0020807222463190556,
0.023836815729737282,
-0.001235602772794664,
-0.017207864671945572,
-0.018564298748970032,
0.03895451873540878,
-0.0045431568287312984,
0.08699233084917068,
-0.03644861653447151,
0.01691790670156479,
-0.018830792978405952,
0.008578692562878132,
-0.01738773286342621,
0.03457936272025108,
0.06445460021495819,
-0.0018260387005284429,
-0.04905157908797264,
-0.0036088598426431417,
-0.042580317705869675,
-0.04677798971533775,
-0.062373287975788116,
0.05529724061489105,
-0.12429056316614151,
-0.006751745939254761,
0.0005156045081093907,
0.03755117207765579,
-0.04841473326086998,
0.007862940430641174,
0.03183140605688095,
-0.07951895892620087,
0.0152047174051404,
-0.045003995299339294,
0.0021215977612882853,
0.039157502353191376,
-9.026616528189538e-34,
-0.06303223967552185,
0.04754076898097992,
0.06111855432391167,
0.085258848965168,
0.000640365993604064,
0.03306642547249794,
-0.025394322350621223,
-0.0019507891265675426,
-0.051702409982681274,
0.03933075815439224,
0.011272202245891094,
0.0253892932087183,
0.04864642769098282,
-0.06019889935851097,
0.014474531635642052,
0.030111229047179222,
-0.011526740156114101,
-0.006766780745238066,
-0.07904551178216934,
-0.019701946526765823,
0.02623516134917736,
0.10239985585212708,
0.010953190736472607,
0.11918170750141144,
-0.02072162739932537,
0.009097442962229252,
0.13937042653560638,
0.08222799748182297,
-0.04440414905548096,
-0.010774940252304077,
0.028237540274858475,
-0.01617962308228016,
-0.021875619888305664,
-0.024416102096438408,
-0.05311719328165054,
0.01264007668942213,
0.02490852214396,
-0.03164153918623924,
0.0028066544327884912,
0.14347246289253235,
0.005277957301586866,
-0.019206412136554718,
-0.08229950070381165,
-0.007590595632791519,
0.020458949729800224,
0.02156692184507847,
-0.04710885509848595,
-0.0108540253713727,
0.05183316394686699,
-0.057857200503349304,
-0.002996787428855896,
0.0322757251560688,
-0.08004360646009445,
0.005038843024522066,
-0.0600777342915535,
-0.014487821608781815,
-0.1192672848701477,
0.08009175211191177,
0.04314044862985611,
0.015428576618432999,
0.05515037849545479,
0.01709085702896118,
0.006715757306665182,
0.06289949268102646,
-0.005511438474059105,
0.00012219100608490407,
-0.008462811820209026,
0.03385046124458313,
-0.032915741205215454,
0.037841130048036575,
0.008237787522375584,
0.05300285667181015,
0.016340749338269234,
-0.02128082513809204,
-0.08277084678411484,
0.031211141496896744,
-0.008283188566565514,
0.08509326726198196,
0.05451471731066704,
0.011260527186095715,
0.09498205780982971,
0.017107902094721794,
0.04144813120365143,
0.08557087182998657,
0.005097348242998123,
0.09495465457439423,
0.11802313476800919,
0.018044203519821167,
0.033509861677885056,
-0.08164665102958679,
-0.0062402053736150265,
-0.03182121738791466,
0.0373380184173584,
-0.04810122027993202,
-0.0237114280462265,
-4.138120246466315e-8,
-0.04076281934976578,
-0.039471399039030075,
-0.011742332950234413,
0.06719740480184555,
-0.0034768707118928432,
0.0446658656001091,
-0.02381180226802826,
0.03040023148059845,
-0.10796993970870972,
0.06042523309588432,
0.008611870929598808,
0.009160313755273819,
-0.036458294838666916,
0.013196838088333607,
0.00207973038777709,
0.04028793051838875,
-0.035256221890449524,
0.019503241404891014,
0.01774258352816105,
-0.037470243871212006,
0.015805061906576157,
0.024026310071349144,
0.06463941931724548,
0.056129682809114456,
0.011127028614282608,
-0.013804644346237183,
-0.02388937398791313,
-0.013966027647256851,
0.08550217747688293,
0.07501119375228882,
0.053672630339860916,
-0.017412837594747543,
0.07104941457509995,
-0.055020447820425034,
0.07265988737344742,
0.06187455356121063,
-0.04661894962191582,
-0.029008937999606133,
-0.07006501406431198,
-0.022508947178721428,
-0.07675912231206894,
0.015455109998583794,
-0.05562349781394005,
-0.031408198177814484,
0.01938650570809841,
0.06706641614437103,
0.010356791317462921,
-0.07102543115615845,
0.02098807319998741,
-0.05760401114821434,
0.03649238124489784,
-0.04457293823361397,
0.0082863075658679,
-0.02663477323949337,
0.09342240542173386,
-0.00029670269577763975,
-0.03429118171334267,
0.05411533638834953,
0.05304330214858055,
0.035309042781591415,
0.04229351505637169,
-0.03527906909584999,
0.029339095577597618,
0.06088996306061745
] |
1401.8009
|
Alexander Turbiner
|
Horacio Olivares-Pil\'on and Alexander V. Turbiner
|
The H$_2^+$ molecular ion: low-lying states
|
45 pages, 10 tables, 35 figures, 33 refs., text partly rewritten, 2
tables removed, 3 figures removed but 3 added, 3 references added
|
Annals of Physics 373 (2016) 581-608
|
10.1016/j.aop.2016.07.018
| null |
quant-ph physics.atom-ph physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Matching for a wavefunction the WKB expansion at large distances and Taylor
expansion at small distances leads to a compact, few-parametric uniform
approximation found in {\it J. Phys. B44, 101002 (2011)}. The ten low-lying
eigenstates of H$_2^+$ of the quantum numbers $(n,m,\La,\pm)$\, with $n=m=0$ at
$\La=0,1,2$, with $n=1$, $m=0$ and $n=0$, $m=1$ at $\La=0$ of both parities are
explored for all interproton distances $R$. For all these states this
approximation provides the relative accuracy $\lesssim 10^{-5}$ (not less than
5 s.d.) locally, for any real coordinate $x$ in eigenfunctions, when for total
energy $E(R)$ it gives 10-11 s.d. for $R \in [0,50]$~a.u. Corrections to the
approximation are evaluated in the specially-designed, convergent perturbation
theory. Separation constants are found with not less than 8 s.d. The oscillator
strength for the electric dipole transitions $E1$ is calculated with not less
than 6~s.d. A dramatic dip in the $E1$ oscillator strength
$f_{1s\si_g-3p\si_u}$ at $R \sim R_{eq}$ is observed. The magnetic dipole and
electric quadrupole transitions are calculated for the first time with not less
than 6~s.d. in oscillator strength. For two lowest states $(0,0,0,\pm)$ (or,
equivalently, $1s\si_g$ and $2p\si_u$ states) the potential curves are checked
and confirmed in the Lagrange mesh method within 12~s.d. Based on them the
Energy Gap between $1s\si_g$ and $2p\si_u$ potential curves is approximated
with modified Pade $R e^{-R} [Pade(8/7)](R)$ with not less than 4-5 figures at
$R \in [0, 40]$\,a.u. Sum of potential curves $E_{1s\si_g} + E_{2p\si_u}$ is
approximated by Pade $1/R [Pade(5/8)](R)$ in $R \in [0, 40]$\,a.u. with not
less than {3-4} figures.
|
[
{
"created": "Thu, 30 Jan 2014 21:51:19 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Apr 2016 14:10:30 GMT",
"version": "v2"
},
{
"created": "Sat, 14 May 2016 18:25:59 GMT",
"version": "v3"
}
] |
2019-08-13
|
[
[
"Olivares-Pilón",
"Horacio",
""
],
[
"Turbiner",
"Alexander V.",
""
]
] |
[
-0.10509452223777771,
0.017799092456698418,
-0.052190590649843216,
-0.012503250502049923,
-0.01551792398095131,
0.0054632253013551235,
-0.02568325772881508,
0.05449355021119118,
-0.0643344521522522,
-0.039181504398584366,
0.007688846904784441,
-0.04188843071460724,
-0.010325261391699314,
-0.045971326529979706,
0.014966858550906181,
0.016886096447706223,
0.06307760626077652,
-0.049744948744773865,
-0.07132511585950851,
0.014926120638847351,
0.013437580317258835,
0.014265368692576885,
0.02436073124408722,
-0.010255387984216213,
0.08528356999158859,
-0.08213905245065689,
0.09945280104875565,
0.018406765535473824,
0.0030322575476020575,
0.036655571311712265,
0.10910274088382721,
-0.018639132380485535,
-0.0147392051294446,
-0.034916508942842484,
0.03085816651582718,
0.0221133753657341,
-0.009142092429101467,
0.021150294691324234,
0.016748884692788124,
-0.00416666129603982,
0.0060212621465325356,
0.08838503807783127,
0.0036417562514543533,
0.0879388377070427,
-0.004498763009905815,
-0.027861744165420532,
0.017009783536195755,
0.010661572217941284,
-0.05255584791302681,
-0.11069726198911667,
0.02535010129213333,
0.09536097943782806,
0.00089651980670169,
0.026428261771798134,
-0.008111963048577309,
-0.034458331763744354,
-0.010191324166953564,
-0.013392327353358269,
0.015412391163408756,
-0.037888053804636,
0.043211404234170914,
-0.025460874661803246,
-0.03940100967884064,
-0.05048096179962158,
0.022102877497673035,
-0.0392892025411129,
0.048439327627420425,
-0.1083567887544632,
-0.010115581564605236,
0.07528291642665863,
-0.06353773176670074,
-0.0046122088097035885,
-0.025455163791775703,
0.04127403348684311,
0.023908624425530434,
0.03767639398574829,
-0.020886024460196495,
0.0019588319119066,
0.0009232608135789633,
-0.05882628634572029,
-0.014474758878350258,
-0.026070760563015938,
0.021455490961670876,
-0.09344671666622162,
-0.0004382749611977488,
0.006901550106704235,
-0.08434708416461945,
0.018093766644597054,
0.08271519839763641,
-0.07940023392438889,
0.04559933394193649,
-0.0913565531373024,
-0.11717049032449722,
-0.00346830440685153,
-0.009794490411877632,
0.011227596551179886,
0.009953818283975124,
0.05394529551267624,
0.05112532898783684,
0.04897194728255272,
0.0469130240380764,
-0.00650502135977149,
-0.040380701422691345,
0.01185610331594944,
-0.0030999539885669947,
0.021745922043919563,
0.002556712133809924,
0.08557413518428802,
0.04668405279517174,
-0.0467994250357151,
0.03670297563076019,
-0.015452852472662926,
-0.033898621797561646,
0.0880647748708725,
0.007437726017087698,
-0.052379462867975235,
0.11548177897930145,
0.04479987919330597,
0.019591758027672768,
0.006482225842773914,
-0.0387774296104908,
0.02341596409678459,
0.013499950058758259,
0.04036146029829979,
-0.06064074859023094,
0.0297895148396492,
-0.10027225315570831,
3.185584915282599e-33,
0.09904006123542786,
0.0641586109995842,
0.031152401119470596,
0.009618513286113739,
-0.007329544983804226,
0.01894925907254219,
0.009570585563778877,
-0.04461032524704933,
-0.04295733571052551,
-0.003578490111976862,
-0.0638323426246643,
0.048677634447813034,
0.038518160581588745,
-0.07728295028209686,
-0.02499743551015854,
0.020471863448619843,
-0.007645672187209129,
0.04839419946074486,
-0.003545988816767931,
0.06785538792610168,
0.08656568825244904,
-0.023544935509562492,
0.02913370169699192,
0.010356387123465538,
-0.011078727431595325,
-0.022062893956899643,
0.05710538104176521,
-0.006432953290641308,
-0.030963029712438583,
0.008075905032455921,
-0.06061160936951637,
0.02813011035323143,
0.038671210408210754,
-0.041789013892412186,
0.12174014747142792,
-0.05423698574304581,
0.025505898520350456,
0.006958544719964266,
-0.0042620450258255005,
-0.1454547494649887,
-0.03208392113447189,
0.01153827365487814,
0.023889893665909767,
0.03520644083619118,
0.03240819647908211,
-0.07887978851795197,
0.11625523120164871,
0.06026113033294678,
0.02691642753779888,
-0.00880060438066721,
0.009887292049825191,
0.051801037043333054,
-0.08871866017580032,
0.03468335047364235,
0.004919659346342087,
-0.059646278619766235,
0.08268892019987106,
0.0033572684042155743,
0.0724635198712349,
0.04256978631019592,
-0.01661345362663269,
-0.035100191831588745,
0.014807155355811119,
-0.03401486203074455,
0.015183474868535995,
-0.007414797320961952,
-0.05816112831234932,
-0.05525864660739899,
0.05357218161225319,
0.0540752038359642,
0.0636039674282074,
0.07174848765134811,
0.06612009555101395,
-0.03808809071779251,
0.10792502760887146,
-0.08668413758277893,
0.06822686642408371,
-0.07193611562252045,
-0.04353709518909454,
-0.012995840981602669,
-0.004963954910635948,
0.038027942180633545,
-0.00275389919988811,
-0.044309649616479874,
-0.07542775571346283,
-0.12155398726463318,
-0.05277198180556297,
-0.10807773470878601,
-0.07152502983808517,
-0.07638699561357498,
-0.0010994324693456292,
-0.0485416054725647,
0.029205670580267906,
-0.0169733427464962,
-0.058665744960308075,
-2.2520076692015228e-33,
-0.022120829671621323,
-0.012689916417002678,
0.04743482172489166,
0.0956273004412651,
0.0004611556068994105,
-0.011646739207208157,
0.03930695727467537,
0.03819279745221138,
0.018083440139889717,
-0.04709769785404205,
0.026547914370894432,
0.027098720893263817,
0.06417159736156464,
0.014080689288675785,
-0.011634280905127525,
0.0545027032494545,
0.08790908008813858,
0.03195907920598984,
0.08196640014648438,
0.012242592871189117,
0.08325926959514618,
-0.016891608014702797,
-0.01291153859347105,
0.0044028800912201405,
-0.01051920372992754,
0.059959527105093,
0.013097623363137245,
-0.021328989416360855,
-0.018949951976537704,
-0.03285574913024902,
-0.011762580834329128,
-0.004283490590751171,
-0.056002162396907806,
0.019813936203718185,
-0.07495424151420593,
0.05576692149043083,
0.013105431571602821,
0.09225283563137054,
-0.02411552146077156,
0.016485515981912613,
-0.03185269981622696,
0.016390686854720116,
0.0025872106198221445,
0.00007940002979012206,
-0.03594091907143593,
-0.014822667464613914,
-0.026994099840521812,
0.01511153019964695,
-0.1021733209490776,
0.022330738604068756,
0.043984293937683105,
-0.03666706383228302,
-0.041893236339092255,
0.1260237842798233,
-0.08626730740070343,
0.0515817366540432,
-0.07888470590114594,
0.11346829682588577,
0.027153244242072105,
-0.027057763189077377,
-0.10759218782186508,
0.0357574038207531,
0.0555838979780674,
0.11077746003866196,
0.010313119739294052,
0.048910953104496,
-0.01981326751410961,
0.014682632870972157,
0.05635201185941696,
-0.008181069046258926,
-0.10178851336240768,
-0.07818461954593658,
0.007494570687413216,
-0.012385996989905834,
-0.01649186946451664,
-0.02229704149067402,
0.12145783752202988,
-0.08844544738531113,
0.0070808324962854385,
0.0684390589594841,
-0.006132983136922121,
0.062101975083351135,
0.0058492678217589855,
0.02170715481042862,
0.05549631640315056,
0.02415323443710804,
0.02893029898405075,
0.055473607033491135,
-0.0339973159134388,
0.0002040904655586928,
0.02705177664756775,
0.03423672169446945,
0.01638616994023323,
-0.08018384128808975,
0.10084041953086853,
-4.94537033546294e-8,
-0.018162071704864502,
-0.07598204165697098,
-0.08326191455125809,
0.012308032251894474,
0.05876019224524498,
-0.031746309250593185,
-0.03747793287038803,
0.0001964361290447414,
-0.006641852669417858,
-0.04218144714832306,
0.05759735777974129,
-0.09907786548137665,
-0.060281477868556976,
0.00972540769726038,
-0.024201098829507828,
-0.06070388853549957,
0.0006718429503962398,
-0.02012353390455246,
-0.04576846957206726,
0.017534378916025162,
-0.07323040068149567,
0.07371671497821808,
0.047273602336645126,
-0.03868831694126129,
-0.02958313561975956,
-0.021673722192645073,
-0.09656626731157303,
-0.0220224279910326,
-0.020317625254392624,
0.021246518939733505,
-0.0073338705115020275,
-0.0059676989912986755,
0.06140651926398277,
0.05163838714361191,
0.006000122986733913,
0.04673445224761963,
-0.006347863934934139,
0.07773856073617935,
-0.05364454910159111,
0.08456247299909592,
-0.019249850884079933,
0.01038326881825924,
0.034053485840559006,
0.05877290666103363,
0.05409272760152817,
-0.04708966240286827,
-0.0821569636464119,
0.01438158005475998,
0.009921880438923836,
-0.00940064899623394,
0.02181740663945675,
0.08096566796302795,
-0.08095016330480576,
-0.0700734406709671,
-0.010930490680038929,
-0.04127712920308113,
-0.07929318398237228,
-0.13742005825042725,
0.004531210288405418,
0.03435329347848892,
0.011246771551668644,
-0.01727510429918766,
-0.10280819237232208,
0.010612307116389275
] | null | null | null | null | null | null | null |
[
-0.10509452223777771,
0.017799092456698418,
-0.052190590649843216,
-0.012503250502049923,
-0.01551792398095131,
0.0054632253013551235,
-0.02568325772881508,
0.05449355021119118,
-0.0643344521522522,
-0.039181504398584366,
0.007688846904784441,
-0.04188843071460724,
-0.010325261391699314,
-0.045971326529979706,
0.014966858550906181,
0.016886096447706223,
0.06307760626077652,
-0.049744948744773865,
-0.07132511585950851,
0.014926120638847351,
0.013437580317258835,
0.014265368692576885,
0.02436073124408722,
-0.010255387984216213,
0.08528356999158859,
-0.08213905245065689,
0.09945280104875565,
0.018406765535473824,
0.0030322575476020575,
0.036655571311712265,
0.10910274088382721,
-0.018639132380485535,
-0.0147392051294446,
-0.034916508942842484,
0.03085816651582718,
0.0221133753657341,
-0.009142092429101467,
0.021150294691324234,
0.016748884692788124,
-0.00416666129603982,
0.0060212621465325356,
0.08838503807783127,
0.0036417562514543533,
0.0879388377070427,
-0.004498763009905815,
-0.027861744165420532,
0.017009783536195755,
0.010661572217941284,
-0.05255584791302681,
-0.11069726198911667,
0.02535010129213333,
0.09536097943782806,
0.00089651980670169,
0.026428261771798134,
-0.008111963048577309,
-0.034458331763744354,
-0.010191324166953564,
-0.013392327353358269,
0.015412391163408756,
-0.037888053804636,
0.043211404234170914,
-0.025460874661803246,
-0.03940100967884064,
-0.05048096179962158,
0.022102877497673035,
-0.0392892025411129,
0.048439327627420425,
-0.1083567887544632,
-0.010115581564605236,
0.07528291642665863,
-0.06353773176670074,
-0.0046122088097035885,
-0.025455163791775703,
0.04127403348684311,
0.023908624425530434,
0.03767639398574829,
-0.020886024460196495,
0.0019588319119066,
0.0009232608135789633,
-0.05882628634572029,
-0.014474758878350258,
-0.026070760563015938,
0.021455490961670876,
-0.09344671666622162,
-0.0004382749611977488,
0.006901550106704235,
-0.08434708416461945,
0.018093766644597054,
0.08271519839763641,
-0.07940023392438889,
0.04559933394193649,
-0.0913565531373024,
-0.11717049032449722,
-0.00346830440685153,
-0.009794490411877632,
0.011227596551179886,
0.009953818283975124,
0.05394529551267624,
0.05112532898783684,
0.04897194728255272,
0.0469130240380764,
-0.00650502135977149,
-0.040380701422691345,
0.01185610331594944,
-0.0030999539885669947,
0.021745922043919563,
0.002556712133809924,
0.08557413518428802,
0.04668405279517174,
-0.0467994250357151,
0.03670297563076019,
-0.015452852472662926,
-0.033898621797561646,
0.0880647748708725,
0.007437726017087698,
-0.052379462867975235,
0.11548177897930145,
0.04479987919330597,
0.019591758027672768,
0.006482225842773914,
-0.0387774296104908,
0.02341596409678459,
0.013499950058758259,
0.04036146029829979,
-0.06064074859023094,
0.0297895148396492,
-0.10027225315570831,
3.185584915282599e-33,
0.09904006123542786,
0.0641586109995842,
0.031152401119470596,
0.009618513286113739,
-0.007329544983804226,
0.01894925907254219,
0.009570585563778877,
-0.04461032524704933,
-0.04295733571052551,
-0.003578490111976862,
-0.0638323426246643,
0.048677634447813034,
0.038518160581588745,
-0.07728295028209686,
-0.02499743551015854,
0.020471863448619843,
-0.007645672187209129,
0.04839419946074486,
-0.003545988816767931,
0.06785538792610168,
0.08656568825244904,
-0.023544935509562492,
0.02913370169699192,
0.010356387123465538,
-0.011078727431595325,
-0.022062893956899643,
0.05710538104176521,
-0.006432953290641308,
-0.030963029712438583,
0.008075905032455921,
-0.06061160936951637,
0.02813011035323143,
0.038671210408210754,
-0.041789013892412186,
0.12174014747142792,
-0.05423698574304581,
0.025505898520350456,
0.006958544719964266,
-0.0042620450258255005,
-0.1454547494649887,
-0.03208392113447189,
0.01153827365487814,
0.023889893665909767,
0.03520644083619118,
0.03240819647908211,
-0.07887978851795197,
0.11625523120164871,
0.06026113033294678,
0.02691642753779888,
-0.00880060438066721,
0.009887292049825191,
0.051801037043333054,
-0.08871866017580032,
0.03468335047364235,
0.004919659346342087,
-0.059646278619766235,
0.08268892019987106,
0.0033572684042155743,
0.0724635198712349,
0.04256978631019592,
-0.01661345362663269,
-0.035100191831588745,
0.014807155355811119,
-0.03401486203074455,
0.015183474868535995,
-0.007414797320961952,
-0.05816112831234932,
-0.05525864660739899,
0.05357218161225319,
0.0540752038359642,
0.0636039674282074,
0.07174848765134811,
0.06612009555101395,
-0.03808809071779251,
0.10792502760887146,
-0.08668413758277893,
0.06822686642408371,
-0.07193611562252045,
-0.04353709518909454,
-0.012995840981602669,
-0.004963954910635948,
0.038027942180633545,
-0.00275389919988811,
-0.044309649616479874,
-0.07542775571346283,
-0.12155398726463318,
-0.05277198180556297,
-0.10807773470878601,
-0.07152502983808517,
-0.07638699561357498,
-0.0010994324693456292,
-0.0485416054725647,
0.029205670580267906,
-0.0169733427464962,
-0.058665744960308075,
-2.2520076692015228e-33,
-0.022120829671621323,
-0.012689916417002678,
0.04743482172489166,
0.0956273004412651,
0.0004611556068994105,
-0.011646739207208157,
0.03930695727467537,
0.03819279745221138,
0.018083440139889717,
-0.04709769785404205,
0.026547914370894432,
0.027098720893263817,
0.06417159736156464,
0.014080689288675785,
-0.011634280905127525,
0.0545027032494545,
0.08790908008813858,
0.03195907920598984,
0.08196640014648438,
0.012242592871189117,
0.08325926959514618,
-0.016891608014702797,
-0.01291153859347105,
0.0044028800912201405,
-0.01051920372992754,
0.059959527105093,
0.013097623363137245,
-0.021328989416360855,
-0.018949951976537704,
-0.03285574913024902,
-0.011762580834329128,
-0.004283490590751171,
-0.056002162396907806,
0.019813936203718185,
-0.07495424151420593,
0.05576692149043083,
0.013105431571602821,
0.09225283563137054,
-0.02411552146077156,
0.016485515981912613,
-0.03185269981622696,
0.016390686854720116,
0.0025872106198221445,
0.00007940002979012206,
-0.03594091907143593,
-0.014822667464613914,
-0.026994099840521812,
0.01511153019964695,
-0.1021733209490776,
0.022330738604068756,
0.043984293937683105,
-0.03666706383228302,
-0.041893236339092255,
0.1260237842798233,
-0.08626730740070343,
0.0515817366540432,
-0.07888470590114594,
0.11346829682588577,
0.027153244242072105,
-0.027057763189077377,
-0.10759218782186508,
0.0357574038207531,
0.0555838979780674,
0.11077746003866196,
0.010313119739294052,
0.048910953104496,
-0.01981326751410961,
0.014682632870972157,
0.05635201185941696,
-0.008181069046258926,
-0.10178851336240768,
-0.07818461954593658,
0.007494570687413216,
-0.012385996989905834,
-0.01649186946451664,
-0.02229704149067402,
0.12145783752202988,
-0.08844544738531113,
0.0070808324962854385,
0.0684390589594841,
-0.006132983136922121,
0.062101975083351135,
0.0058492678217589855,
0.02170715481042862,
0.05549631640315056,
0.02415323443710804,
0.02893029898405075,
0.055473607033491135,
-0.0339973159134388,
0.0002040904655586928,
0.02705177664756775,
0.03423672169446945,
0.01638616994023323,
-0.08018384128808975,
0.10084041953086853,
-4.94537033546294e-8,
-0.018162071704864502,
-0.07598204165697098,
-0.08326191455125809,
0.012308032251894474,
0.05876019224524498,
-0.031746309250593185,
-0.03747793287038803,
0.0001964361290447414,
-0.006641852669417858,
-0.04218144714832306,
0.05759735777974129,
-0.09907786548137665,
-0.060281477868556976,
0.00972540769726038,
-0.024201098829507828,
-0.06070388853549957,
0.0006718429503962398,
-0.02012353390455246,
-0.04576846957206726,
0.017534378916025162,
-0.07323040068149567,
0.07371671497821808,
0.047273602336645126,
-0.03868831694126129,
-0.02958313561975956,
-0.021673722192645073,
-0.09656626731157303,
-0.0220224279910326,
-0.020317625254392624,
0.021246518939733505,
-0.0073338705115020275,
-0.0059676989912986755,
0.06140651926398277,
0.05163838714361191,
0.006000122986733913,
0.04673445224761963,
-0.006347863934934139,
0.07773856073617935,
-0.05364454910159111,
0.08456247299909592,
-0.019249850884079933,
0.01038326881825924,
0.034053485840559006,
0.05877290666103363,
0.05409272760152817,
-0.04708966240286827,
-0.0821569636464119,
0.01438158005475998,
0.009921880438923836,
-0.00940064899623394,
0.02181740663945675,
0.08096566796302795,
-0.08095016330480576,
-0.0700734406709671,
-0.010930490680038929,
-0.04127712920308113,
-0.07929318398237228,
-0.13742005825042725,
0.004531210288405418,
0.03435329347848892,
0.011246771551668644,
-0.01727510429918766,
-0.10280819237232208,
0.010612307116389275
] |
1401.8019
|
Pawel Tecmer
|
Katharina Boguslawski, Pawe{\l} Tecmer, Paul W. Ayers, Patrick
Bultinck, Stijn De Baerdemacker, Dimitri Van Neck
|
Efficient description of strongly correlated electrons with mean-field
cost
|
4 pages, 4 figures
|
Phys. Rev. B, 89, 201106(R) (2014)
|
10.1103/PhysRevB.89.201106
| null |
cond-mat.str-el physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an efficient approach to the electron correlation problem that is
well-suited for strongly interacting many-body systems, but requires only
mean-field-like computational cost. %which is based on orbital optimization of
electron pairs. The performance of our approach is illustrated for the
one-dimensional Hubbard model with periodic boundary conditions for different
chain lengths, and for the non-relativistic quantum chemical Hamiltonian
exploring the symmetric dissociation of the H$_{50}$ hydrogen chain.
|
[
{
"created": "Thu, 30 Jan 2014 22:57:58 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2014 21:42:02 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Aug 2014 21:54:50 GMT",
"version": "v3"
}
] |
2014-08-05
|
[
[
"Boguslawski",
"Katharina",
""
],
[
"Tecmer",
"Paweł",
""
],
[
"Ayers",
"Paul W.",
""
],
[
"Bultinck",
"Patrick",
""
],
[
"De Baerdemacker",
"Stijn",
""
],
[
"Van Neck",
"Dimitri",
""
]
] |
[
-0.005599221680313349,
0.05451616272330284,
0.024662809446454048,
0.03723880648612976,
-0.08761104196310043,
-0.013081406243145466,
-0.0409325547516346,
0.03379344567656517,
-0.013959471136331558,
-0.04595054313540459,
-0.008628877811133862,
-0.008332986384630203,
0.05443508177995682,
0.02810647338628769,
0.01601952686905861,
-0.017914975062012672,
0.05390314385294914,
0.0220038965344429,
0.0016226695151999593,
0.02793707512319088,
-0.07563336193561554,
0.00882247369736433,
0.022639594972133636,
-0.0005297976895235479,
-0.005429018754512072,
-0.036156848073005676,
0.13721437752246857,
-0.012013503350317478,
-0.03671293705701828,
0.007734835613518953,
0.10411835461854935,
-0.013813403435051441,
-0.00041837088065221906,
-0.0753493383526802,
-0.06772490590810776,
0.042273588478565216,
0.018219998106360435,
-0.037486422806978226,
0.01612761616706848,
0.004869853146374226,
-0.01033741980791092,
0.09235995262861252,
-0.002272628713399172,
0.03664499148726463,
0.05375532805919647,
-0.07025270164012909,
0.05376298353075981,
0.006344326306134462,
0.037912528961896896,
-0.07935914397239685,
0.0667915865778923,
0.052111346274614334,
-0.011326194740831852,
-0.015323709696531296,
-0.022343086078763008,
-0.05588576942682266,
-0.013446211814880371,
0.0014510288601741195,
-0.04488329216837883,
-0.07463449239730835,
0.027624748647212982,
-0.03820580616593361,
0.03145488724112511,
0.0145830437541008,
0.08074355870485306,
-0.004104020539671183,
0.024320337921380997,
0.043373819440603256,
-0.008815779350697994,
0.06486587971448898,
-0.09099466353654861,
0.021179912611842155,
-0.03807380050420761,
-0.0641595646739006,
0.03515160456299782,
0.03607451170682907,
-0.046837177127599716,
-0.011966484598815441,
0.04811115935444832,
-0.028906770050525665,
-0.03403608128428459,
-0.053004924207925797,
-0.02115994319319725,
-0.03519027307629585,
0.057553865015506744,
0.10444916784763336,
-0.06726198643445969,
0.03227254003286362,
-0.05454935133457184,
-0.0679929330945015,
-0.003267164807766676,
-0.08173791319131851,
0.017232393845915794,
-0.056539878249168396,
-0.06291868537664413,
0.026602663099765778,
0.05318238213658333,
0.07238282263278961,
0.022426316514611244,
0.004276496358215809,
0.061775270849466324,
-0.036651093512773514,
0.0301212128251791,
0.0893370658159256,
0.024022849276661873,
0.010621155612170696,
0.052760813385248184,
0.0727020874619484,
-0.060633692890405655,
-0.04270400106906891,
0.03142675757408142,
-0.000622713181655854,
-0.044715676456689835,
-0.012395930476486683,
0.007700906600803137,
0.06400907784700394,
0.10047168284654617,
-0.012898199260234833,
0.07533980906009674,
0.053603678941726685,
-0.014275118708610535,
-0.07270095497369766,
0.007037771865725517,
0.04709791764616966,
-0.0262641329318285,
0.014452992007136345,
-0.062381014227867126,
1.803794795639854e-33,
-0.009820826351642609,
0.035408493131399155,
0.10314937680959702,
-0.011357419192790985,
-0.0033585967030376196,
0.011547188274562359,
-0.01163954846560955,
-0.03228440508246422,
-0.09448937326669693,
0.012697258032858372,
-0.001712392782792449,
-0.02424571104347706,
0.06291374564170837,
-0.08610814809799194,
-0.019081726670265198,
-0.0661885216832161,
-0.028727158904075623,
0.022860612720251083,
0.08004375547170639,
-0.06939130276441574,
0.024893224239349365,
-0.032194238156080246,
-0.039961088448762894,
0.0439789742231369,
-0.03526102751493454,
-0.006712127476930618,
0.06513774394989014,
-0.034428395330905914,
-0.04643919691443443,
-0.04434776306152344,
0.01645042560994625,
0.018141256645321846,
-0.02761274389922619,
0.12290987372398376,
0.03529413044452667,
-0.041404496878385544,
0.005491921678185463,
0.004263912793248892,
0.016454502940177917,
-0.09512460976839066,
-0.03672365844249725,
0.013465376570820808,
0.0738469809293747,
-0.08124475926160812,
0.0024753164034336805,
0.04064729064702988,
0.13623107969760895,
0.006019889377057552,
-0.01570519432425499,
0.006161682307720184,
0.06797292083501816,
0.0200177188962698,
-0.008188166655600071,
0.010507642291486263,
-0.017168955877423286,
-0.0436105839908123,
0.021462656557559967,
-0.01769244484603405,
0.032415587455034256,
0.11153595894575119,
-0.0008940600091591477,
0.045065101236104965,
-0.004517313092947006,
-0.0003457106649875641,
-0.005070974119007587,
0.06628421694040298,
-0.06292487680912018,
-0.06449553370475769,
0.011649991385638714,
0.08830064535140991,
0.020797597244381905,
0.08130344748497009,
0.07061658054590225,
-0.1174432784318924,
0.11378539353609085,
-0.011087087914347649,
-0.019345823675394058,
-0.08208703249692917,
-0.051019445061683655,
-0.01145508699119091,
-0.0011153336381539702,
-0.03837627172470093,
-0.04419229179620743,
0.008890020661056042,
0.004045287147164345,
-0.019334804266691208,
-0.04193712770938873,
-0.057412825524806976,
-0.049166277050971985,
0.03748680278658867,
0.03612195700407028,
-0.047453586012125015,
0.01470898650586605,
-0.012680471874773502,
0.016745034605264664,
-9.649185887033869e-34,
-0.024929173290729523,
-0.01916290447115898,
0.09762663394212723,
-0.04714434593915939,
0.028298022225499153,
-0.026735417544841766,
-0.027492530643939972,
-0.008970716036856174,
0.05283600091934204,
-0.03374352306127548,
0.055236171931028366,
0.010881897062063217,
0.0056205992586910725,
-0.0084982356056571,
0.02520601823925972,
0.07452110946178436,
0.0019707840401679277,
-0.040757812559604645,
0.10505864769220352,
0.020819202065467834,
-0.01798134297132492,
-0.02127067744731903,
0.0008439950179308653,
-0.0720190480351448,
-0.01098108571022749,
0.020369671285152435,
0.02307853475213051,
-0.051117293536663055,
0.06825587898492813,
0.007315603084862232,
-0.06649278104305267,
-0.011256915517151356,
-0.053519587963819504,
0.07105334848165512,
-0.14830876886844635,
0.031108256429433823,
-0.07489216327667236,
0.13086539506912231,
0.06272538006305695,
-0.07622861862182617,
-0.0616576224565506,
-0.04671744257211685,
-0.03166034817695618,
0.03664955496788025,
0.1227104440331459,
0.001914946362376213,
-0.05210820585489273,
0.011617245152592659,
0.00608086260035634,
0.07225351780653,
-0.09136468172073364,
-0.04518198221921921,
-0.0020790754351764917,
-0.02035325951874256,
-0.07577825337648392,
0.03991362452507019,
-0.006862948648631573,
0.07283884286880493,
0.13489875197410583,
-0.06923132389783859,
-0.031189603731036186,
0.0032085878774523735,
0.04591074585914612,
0.12363138049840927,
-0.00011875287600560114,
-0.06554705649614334,
-0.0373351164162159,
-0.029885511845350266,
-0.0028085680678486824,
0.05136866495013237,
-0.004348420538008213,
0.01185604464262724,
-0.00464293360710144,
0.008656352758407593,
0.01607337035238743,
-0.004984937608242035,
0.0537332259118557,
-0.1162024587392807,
-0.013193786144256592,
0.04060881584882736,
-0.011784825474023819,
0.05562424659729004,
-0.03244338557124138,
-0.04645458236336708,
0.03695210441946983,
-0.042471129447221756,
0.004875678103417158,
0.0683094710111618,
-0.005237664561718702,
-0.02898860163986683,
0.0033320412039756775,
0.020854689180850983,
0.1248297393321991,
-0.07264339923858643,
-0.03181581199169159,
-3.8507849353663914e-8,
0.02881680056452751,
-0.13408471643924713,
-0.021678734570741653,
0.001412772573530674,
0.056012239307165146,
0.06101471558213234,
-0.01632080227136612,
-0.027704993262887,
0.02176372893154621,
0.059416815638542175,
0.071892648935318,
-0.02389456517994404,
-0.035066720098257065,
0.014167760498821735,
-0.07690688222646713,
0.019361108541488647,
-0.026101162657141685,
-0.10271312296390533,
-0.024000028148293495,
-0.04194783791899681,
-0.005084771662950516,
0.02227535843849182,
0.007619927171617746,
0.092229463160038,
0.043217357248067856,
0.006438208743929863,
0.016953548416495323,
-0.08311624079942703,
0.021475480869412422,
-0.012482086196541786,
-0.08937712013721466,
-0.04230598360300064,
0.07690297067165375,
0.058724164962768555,
0.037303779274225235,
-0.04894677549600601,
-0.07614843547344208,
0.10226214677095413,
-0.05491296574473381,
0.020013591274619102,
0.007677891757339239,
0.026613272726535797,
0.0363069586455822,
0.022946897894144058,
0.09665689617395401,
0.07608728855848312,
-0.02886165678501129,
0.028096461668610573,
0.12036553025245667,
0.004050928167998791,
0.009570459835231304,
-0.009640200063586235,
-0.03563155606389046,
-0.08794411271810532,
-0.04809921607375145,
0.059807367622852325,
-0.006445111241191626,
-0.021201208233833313,
0.08107373118400574,
-0.05404089018702507,
-0.0036729248240590096,
0.035837285220623016,
-0.046694155782461166,
-0.04424653202295303
] | null | null | null | null | null | null | null |
[
-0.005599221680313349,
0.05451616272330284,
0.024662809446454048,
0.03723880648612976,
-0.08761104196310043,
-0.013081406243145466,
-0.0409325547516346,
0.03379344567656517,
-0.013959471136331558,
-0.04595054313540459,
-0.008628877811133862,
-0.008332986384630203,
0.05443508177995682,
0.02810647338628769,
0.01601952686905861,
-0.017914975062012672,
0.05390314385294914,
0.0220038965344429,
0.0016226695151999593,
0.02793707512319088,
-0.07563336193561554,
0.00882247369736433,
0.022639594972133636,
-0.0005297976895235479,
-0.005429018754512072,
-0.036156848073005676,
0.13721437752246857,
-0.012013503350317478,
-0.03671293705701828,
0.007734835613518953,
0.10411835461854935,
-0.013813403435051441,
-0.00041837088065221906,
-0.0753493383526802,
-0.06772490590810776,
0.042273588478565216,
0.018219998106360435,
-0.037486422806978226,
0.01612761616706848,
0.004869853146374226,
-0.01033741980791092,
0.09235995262861252,
-0.002272628713399172,
0.03664499148726463,
0.05375532805919647,
-0.07025270164012909,
0.05376298353075981,
0.006344326306134462,
0.037912528961896896,
-0.07935914397239685,
0.0667915865778923,
0.052111346274614334,
-0.011326194740831852,
-0.015323709696531296,
-0.022343086078763008,
-0.05588576942682266,
-0.013446211814880371,
0.0014510288601741195,
-0.04488329216837883,
-0.07463449239730835,
0.027624748647212982,
-0.03820580616593361,
0.03145488724112511,
0.0145830437541008,
0.08074355870485306,
-0.004104020539671183,
0.024320337921380997,
0.043373819440603256,
-0.008815779350697994,
0.06486587971448898,
-0.09099466353654861,
0.021179912611842155,
-0.03807380050420761,
-0.0641595646739006,
0.03515160456299782,
0.03607451170682907,
-0.046837177127599716,
-0.011966484598815441,
0.04811115935444832,
-0.028906770050525665,
-0.03403608128428459,
-0.053004924207925797,
-0.02115994319319725,
-0.03519027307629585,
0.057553865015506744,
0.10444916784763336,
-0.06726198643445969,
0.03227254003286362,
-0.05454935133457184,
-0.0679929330945015,
-0.003267164807766676,
-0.08173791319131851,
0.017232393845915794,
-0.056539878249168396,
-0.06291868537664413,
0.026602663099765778,
0.05318238213658333,
0.07238282263278961,
0.022426316514611244,
0.004276496358215809,
0.061775270849466324,
-0.036651093512773514,
0.0301212128251791,
0.0893370658159256,
0.024022849276661873,
0.010621155612170696,
0.052760813385248184,
0.0727020874619484,
-0.060633692890405655,
-0.04270400106906891,
0.03142675757408142,
-0.000622713181655854,
-0.044715676456689835,
-0.012395930476486683,
0.007700906600803137,
0.06400907784700394,
0.10047168284654617,
-0.012898199260234833,
0.07533980906009674,
0.053603678941726685,
-0.014275118708610535,
-0.07270095497369766,
0.007037771865725517,
0.04709791764616966,
-0.0262641329318285,
0.014452992007136345,
-0.062381014227867126,
1.803794795639854e-33,
-0.009820826351642609,
0.035408493131399155,
0.10314937680959702,
-0.011357419192790985,
-0.0033585967030376196,
0.011547188274562359,
-0.01163954846560955,
-0.03228440508246422,
-0.09448937326669693,
0.012697258032858372,
-0.001712392782792449,
-0.02424571104347706,
0.06291374564170837,
-0.08610814809799194,
-0.019081726670265198,
-0.0661885216832161,
-0.028727158904075623,
0.022860612720251083,
0.08004375547170639,
-0.06939130276441574,
0.024893224239349365,
-0.032194238156080246,
-0.039961088448762894,
0.0439789742231369,
-0.03526102751493454,
-0.006712127476930618,
0.06513774394989014,
-0.034428395330905914,
-0.04643919691443443,
-0.04434776306152344,
0.01645042560994625,
0.018141256645321846,
-0.02761274389922619,
0.12290987372398376,
0.03529413044452667,
-0.041404496878385544,
0.005491921678185463,
0.004263912793248892,
0.016454502940177917,
-0.09512460976839066,
-0.03672365844249725,
0.013465376570820808,
0.0738469809293747,
-0.08124475926160812,
0.0024753164034336805,
0.04064729064702988,
0.13623107969760895,
0.006019889377057552,
-0.01570519432425499,
0.006161682307720184,
0.06797292083501816,
0.0200177188962698,
-0.008188166655600071,
0.010507642291486263,
-0.017168955877423286,
-0.0436105839908123,
0.021462656557559967,
-0.01769244484603405,
0.032415587455034256,
0.11153595894575119,
-0.0008940600091591477,
0.045065101236104965,
-0.004517313092947006,
-0.0003457106649875641,
-0.005070974119007587,
0.06628421694040298,
-0.06292487680912018,
-0.06449553370475769,
0.011649991385638714,
0.08830064535140991,
0.020797597244381905,
0.08130344748497009,
0.07061658054590225,
-0.1174432784318924,
0.11378539353609085,
-0.011087087914347649,
-0.019345823675394058,
-0.08208703249692917,
-0.051019445061683655,
-0.01145508699119091,
-0.0011153336381539702,
-0.03837627172470093,
-0.04419229179620743,
0.008890020661056042,
0.004045287147164345,
-0.019334804266691208,
-0.04193712770938873,
-0.057412825524806976,
-0.049166277050971985,
0.03748680278658867,
0.03612195700407028,
-0.047453586012125015,
0.01470898650586605,
-0.012680471874773502,
0.016745034605264664,
-9.649185887033869e-34,
-0.024929173290729523,
-0.01916290447115898,
0.09762663394212723,
-0.04714434593915939,
0.028298022225499153,
-0.026735417544841766,
-0.027492530643939972,
-0.008970716036856174,
0.05283600091934204,
-0.03374352306127548,
0.055236171931028366,
0.010881897062063217,
0.0056205992586910725,
-0.0084982356056571,
0.02520601823925972,
0.07452110946178436,
0.0019707840401679277,
-0.040757812559604645,
0.10505864769220352,
0.020819202065467834,
-0.01798134297132492,
-0.02127067744731903,
0.0008439950179308653,
-0.0720190480351448,
-0.01098108571022749,
0.020369671285152435,
0.02307853475213051,
-0.051117293536663055,
0.06825587898492813,
0.007315603084862232,
-0.06649278104305267,
-0.011256915517151356,
-0.053519587963819504,
0.07105334848165512,
-0.14830876886844635,
0.031108256429433823,
-0.07489216327667236,
0.13086539506912231,
0.06272538006305695,
-0.07622861862182617,
-0.0616576224565506,
-0.04671744257211685,
-0.03166034817695618,
0.03664955496788025,
0.1227104440331459,
0.001914946362376213,
-0.05210820585489273,
0.011617245152592659,
0.00608086260035634,
0.07225351780653,
-0.09136468172073364,
-0.04518198221921921,
-0.0020790754351764917,
-0.02035325951874256,
-0.07577825337648392,
0.03991362452507019,
-0.006862948648631573,
0.07283884286880493,
0.13489875197410583,
-0.06923132389783859,
-0.031189603731036186,
0.0032085878774523735,
0.04591074585914612,
0.12363138049840927,
-0.00011875287600560114,
-0.06554705649614334,
-0.0373351164162159,
-0.029885511845350266,
-0.0028085680678486824,
0.05136866495013237,
-0.004348420538008213,
0.01185604464262724,
-0.00464293360710144,
0.008656352758407593,
0.01607337035238743,
-0.004984937608242035,
0.0537332259118557,
-0.1162024587392807,
-0.013193786144256592,
0.04060881584882736,
-0.011784825474023819,
0.05562424659729004,
-0.03244338557124138,
-0.04645458236336708,
0.03695210441946983,
-0.042471129447221756,
0.004875678103417158,
0.0683094710111618,
-0.005237664561718702,
-0.02898860163986683,
0.0033320412039756775,
0.020854689180850983,
0.1248297393321991,
-0.07264339923858643,
-0.03181581199169159,
-3.8507849353663914e-8,
0.02881680056452751,
-0.13408471643924713,
-0.021678734570741653,
0.001412772573530674,
0.056012239307165146,
0.06101471558213234,
-0.01632080227136612,
-0.027704993262887,
0.02176372893154621,
0.059416815638542175,
0.071892648935318,
-0.02389456517994404,
-0.035066720098257065,
0.014167760498821735,
-0.07690688222646713,
0.019361108541488647,
-0.026101162657141685,
-0.10271312296390533,
-0.024000028148293495,
-0.04194783791899681,
-0.005084771662950516,
0.02227535843849182,
0.007619927171617746,
0.092229463160038,
0.043217357248067856,
0.006438208743929863,
0.016953548416495323,
-0.08311624079942703,
0.021475480869412422,
-0.012482086196541786,
-0.08937712013721466,
-0.04230598360300064,
0.07690297067165375,
0.058724164962768555,
0.037303779274225235,
-0.04894677549600601,
-0.07614843547344208,
0.10226214677095413,
-0.05491296574473381,
0.020013591274619102,
0.007677891757339239,
0.026613272726535797,
0.0363069586455822,
0.022946897894144058,
0.09665689617395401,
0.07608728855848312,
-0.02886165678501129,
0.028096461668610573,
0.12036553025245667,
0.004050928167998791,
0.009570459835231304,
-0.009640200063586235,
-0.03563155606389046,
-0.08794411271810532,
-0.04809921607375145,
0.059807367622852325,
-0.006445111241191626,
-0.021201208233833313,
0.08107373118400574,
-0.05404089018702507,
-0.0036729248240590096,
0.035837285220623016,
-0.046694155782461166,
-0.04424653202295303
] |
1401.8022
|
Lili Su
|
Lili Su, Olgica Milenkovic
|
Synchronizing Rankings via Interactive Communication
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the problem of exact synchronization of two rankings at remote
locations connected by a two-way channel. Such synchronization problems arise
when items in the data are distinguishable, as is the case for playlists,
tasklists, crowdvotes and recommender systems rankings. Our model accounts for
different constraints on the communication throughput of the forward and
feedback links, resulting in different anchoring, syndrome and checksum
computation strategies. Information editing is assumed of the form of
deletions, insertions, block deletions/insertions, translocations and
transpositions. The protocols developed under the given model are order-optimal
with respect to genie aided lower bounds.
|
[
{
"created": "Thu, 30 Jan 2014 23:10:59 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 2014 00:41:32 GMT",
"version": "v2"
}
] |
2014-02-13
|
[
[
"Su",
"Lili",
""
],
[
"Milenkovic",
"Olgica",
""
]
] |
[
0.02286679670214653,
-0.12365888804197311,
-0.0192426685243845,
-0.054225482046604156,
-0.03368893638253212,
0.015922129154205322,
-0.005361637100577354,
-0.04045232757925987,
0.03683524206280708,
0.05759311094880104,
0.005179679486900568,
0.12342950701713562,
0.08833856880664825,
-0.01491971779614687,
-0.028227750211954117,
-0.004567206837236881,
0.08988403528928757,
-0.018426282331347466,
-0.047662653028964996,
-0.06016114726662636,
-0.01391011755913496,
-0.036717142909765244,
-0.028409888967871666,
0.023006880655884743,
0.015736045315861702,
-0.05506186932325363,
-0.036173880100250244,
-0.000004549792265606811,
-0.03499503806233406,
-0.07132569700479507,
-0.040915220975875854,
-0.04909983649849892,
-0.025971557945013046,
0.016201335936784744,
-0.07983283698558807,
-0.007152179721742868,
-0.034367915242910385,
-0.10229014605283737,
0.010141178034245968,
0.0015288509894162416,
0.03519691899418831,
-0.00839045736938715,
-0.03833739832043648,
-0.007620724383741617,
-0.05029074847698212,
0.06963173300027847,
-0.030363840982317924,
0.1339718997478485,
-0.05169764161109924,
0.0019260330591350794,
-0.09550202637910843,
0.011640065349638462,
-0.04443255066871643,
0.05903545022010803,
-0.02392522618174553,
0.04392685741186142,
0.0035390399862080812,
0.07363428175449371,
-0.018124528229236603,
0.03136198967695236,
0.08099114149808884,
-0.04046543687582016,
0.009929636493325233,
-0.027963561937212944,
0.046660374850034714,
-0.03655414283275604,
0.018912093713879585,
0.02250881865620613,
-0.05405605956912041,
0.04719344526529312,
0.02508767507970333,
-0.0006788031314499676,
-0.010304446332156658,
0.0720624029636383,
-0.0012208031257614493,
-0.04798557981848717,
-0.022667523473501205,
0.0026785058435052633,
-0.0992925763130188,
-0.03605339303612709,
-0.00012124914792366326,
-0.038816843181848526,
-0.03502083197236061,
-0.019571578130126,
0.0410376600921154,
-0.09741503745317459,
0.005220496561378241,
0.0209028497338295,
0.061003535985946655,
-0.0034845906775444746,
-0.03741452470421791,
0.054074596613645554,
0.0786651223897934,
0.015375892631709576,
0.04343589395284653,
0.011153965257108212,
0.03283967822790146,
0.0531197264790535,
0.030589167028665543,
0.04102889820933342,
-0.025568680837750435,
0.0394902303814888,
-0.064609594643116,
0.007752431556582451,
0.0820201113820076,
-0.0018093348480761051,
-0.03418321534991264,
0.08828333020210266,
0.006084938067942858,
-0.03785938769578934,
0.0013302724109962583,
0.02997627668082714,
0.007394326385110617,
0.026946740224957466,
-0.06835505366325378,
-0.024007508531212807,
0.12063359469175339,
0.10516469180583954,
-0.018883995711803436,
0.012644384987652302,
0.06128421425819397,
-0.0999455600976944,
0.13134963810443878,
-0.04128895327448845,
-0.03359870985150337,
0.0038080147933214903,
0.015501651912927628,
1.2071516075513818e-33,
0.014123882167041302,
-0.03403986245393753,
0.01751476339995861,
-0.04648033156991005,
0.04092196747660637,
0.07229912281036377,
-0.03946677967905998,
-0.030391976237297058,
-0.07018925249576569,
-0.06224389001727104,
0.023980209603905678,
0.026004908606410027,
0.03271254524588585,
-0.002100583165884018,
0.04446840658783913,
-0.022968586534261703,
0.0832558274269104,
0.10468952357769012,
0.014165460132062435,
-0.06509632617235184,
0.0586487278342247,
-0.02994738705456257,
-0.0062143257819116116,
-0.04524252936244011,
0.019975069910287857,
-0.010643844492733479,
-0.06633887439966202,
-0.027209198102355003,
0.05535002425312996,
-0.031197471544146538,
-0.04180634766817093,
-0.06178956851363182,
0.044201817363500595,
0.007541797589510679,
0.044594839215278625,
0.02170354314148426,
-0.011807101778686047,
-0.1259198635816574,
0.05284159258008003,
-0.06802946329116821,
0.03289644047617912,
0.014661955647170544,
-0.08185242116451263,
-0.04054972156882286,
-0.10988449305295944,
0.0027106613852083683,
-0.02105884999036789,
0.07053358107805252,
-0.005479384679347277,
0.01318322028964758,
0.0018362754490226507,
0.07610267400741577,
-0.02681080810725689,
-0.03805427998304367,
0.007976504042744637,
-0.10702306777238846,
0.022160956636071205,
0.01632365770637989,
0.038439586758613586,
0.10729008167982101,
0.011792942881584167,
0.04339759424328804,
0.018294772133231163,
-0.03519332408905029,
0.0814439207315445,
-0.010552490130066872,
-0.022067131474614143,
-0.015864454209804535,
0.13935497403144836,
-0.020032595843076706,
-0.0038592570926994085,
0.03942110762000084,
0.06806770712137222,
0.05905187502503395,
-0.015877829864621162,
-0.01722378470003605,
-0.06820112466812134,
-0.07296352088451385,
0.05398140847682953,
-0.09556300938129425,
-0.04163041710853577,
-0.08741652965545654,
-0.024467499926686287,
0.045494455844163895,
-0.046127550303936005,
-0.029325101524591446,
-0.03320745751261711,
0.0771879106760025,
-0.08231593668460846,
0.00681546563282609,
-0.033994950354099274,
0.04060128331184387,
-0.004388834815472364,
0.0036949394270777702,
0.04433714225888252,
-1.6163403645531546e-33,
-0.038228996098041534,
-0.030462760478258133,
0.07744915038347244,
0.06104588136076927,
0.054695047438144684,
-0.08897010236978531,
-0.025248095393180847,
-0.052531491965055466,
-0.012158842757344246,
0.005475501995533705,
-0.0930003896355629,
-0.020945623517036438,
0.02863929606974125,
-0.019619787111878395,
0.04965795576572418,
0.030778707936406136,
0.05105007439851761,
-0.03340386599302292,
-0.05539390817284584,
-0.04473379999399185,
0.04393284395337105,
0.00611486379057169,
0.005326791666448116,
0.10526840388774872,
0.06944394111633301,
-0.02053000219166279,
0.03438794985413551,
-0.025871576741337776,
-0.0052251010201871395,
-0.018195051699876785,
0.04928014799952507,
-0.06152384728193283,
-0.009813645854592323,
-0.10189004242420197,
0.016162270680069923,
0.02977941371500492,
-0.010639079846441746,
0.07787096500396729,
-0.06820947676897049,
0.05569395422935486,
0.09169237315654755,
-0.03670641779899597,
-0.0674297884106636,
-0.025745699182152748,
0.04073550924658775,
0.027612140402197838,
-0.1544383019208908,
0.1018500104546547,
-0.09812190383672714,
-0.0069678472355008125,
0.05464182421565056,
0.04756326600909233,
-0.042081110179424286,
-0.05362165346741676,
0.017378345131874084,
0.06063663214445114,
-0.06107763573527336,
0.03939202055335045,
0.11289966851472855,
-0.024381374940276146,
0.05416525900363922,
-0.09957148879766464,
0.018516849726438522,
0.0028435506392270327,
0.06787323206663132,
-0.010661053471267223,
0.09147578477859497,
-0.04762532562017441,
0.003967121709138155,
0.0883893072605133,
0.0335201621055603,
0.035431087017059326,
0.023206479847431183,
-0.03161732852458954,
-0.002807202748954296,
0.028833286836743355,
0.017996352165937424,
0.03279222175478935,
0.022213513031601906,
0.014847920276224613,
-0.07659178227186203,
0.10200221091508865,
0.05252096429467201,
-0.009985427372157574,
-0.020864376798272133,
0.02953767590224743,
0.1399010419845581,
0.03182206302881241,
-0.03873728588223457,
-0.0646076574921608,
0.020372522994875908,
-0.025972720235586166,
0.014414947479963303,
-0.03748437762260437,
-0.051215313374996185,
-4.12001348593094e-8,
-0.0849403515458107,
-0.057495929300785065,
-0.05661740154027939,
0.1141592413187027,
-0.008890778757631779,
0.019450953230261803,
0.01736370660364628,
0.05297123268246651,
0.06599055975675583,
0.02188851311802864,
0.04200029373168945,
0.00733060110360384,
0.004953509662300348,
0.006654784083366394,
0.04315733164548874,
-0.02036954089999199,
-0.04161587730050087,
-0.03843708336353302,
-0.05276845395565033,
-0.004349181428551674,
-0.027611559256911278,
0.03660828620195389,
0.0009458105778321624,
0.070746049284935,
0.008367550559341908,
0.01043797843158245,
0.03540297597646713,
0.054807186126708984,
0.05101187899708748,
0.012319118715822697,
0.012091698125004768,
-0.062102895230054855,
0.05682368576526642,
0.024829911068081856,
0.005810764152556658,
-0.018803061917424202,
-0.08407546579837799,
0.006928357295691967,
-0.09768608957529068,
-0.010448839515447617,
0.05157880857586861,
-0.007798183709383011,
0.0012211970752105117,
0.07378218322992325,
0.08124826103448868,
-0.048176176846027374,
-0.018876085057854652,
-0.01810319535434246,
-0.030507218092679977,
-0.06628215312957764,
0.010058889165520668,
-0.0571279339492321,
-0.035464879125356674,
-0.03457462042570114,
0.03984823822975159,
0.04774080589413643,
0.016282882541418076,
-0.021750040352344513,
0.050741877406835556,
0.0008594486280344427,
0.005136116873472929,
0.06987651437520981,
-0.04585437849164009,
0.024739021435379982
] | null | null | null | null | null | null | null |
[
0.02286679670214653,
-0.12365888804197311,
-0.0192426685243845,
-0.054225482046604156,
-0.03368893638253212,
0.015922129154205322,
-0.005361637100577354,
-0.04045232757925987,
0.03683524206280708,
0.05759311094880104,
0.005179679486900568,
0.12342950701713562,
0.08833856880664825,
-0.01491971779614687,
-0.028227750211954117,
-0.004567206837236881,
0.08988403528928757,
-0.018426282331347466,
-0.047662653028964996,
-0.06016114726662636,
-0.01391011755913496,
-0.036717142909765244,
-0.028409888967871666,
0.023006880655884743,
0.015736045315861702,
-0.05506186932325363,
-0.036173880100250244,
-0.000004549792265606811,
-0.03499503806233406,
-0.07132569700479507,
-0.040915220975875854,
-0.04909983649849892,
-0.025971557945013046,
0.016201335936784744,
-0.07983283698558807,
-0.007152179721742868,
-0.034367915242910385,
-0.10229014605283737,
0.010141178034245968,
0.0015288509894162416,
0.03519691899418831,
-0.00839045736938715,
-0.03833739832043648,
-0.007620724383741617,
-0.05029074847698212,
0.06963173300027847,
-0.030363840982317924,
0.1339718997478485,
-0.05169764161109924,
0.0019260330591350794,
-0.09550202637910843,
0.011640065349638462,
-0.04443255066871643,
0.05903545022010803,
-0.02392522618174553,
0.04392685741186142,
0.0035390399862080812,
0.07363428175449371,
-0.018124528229236603,
0.03136198967695236,
0.08099114149808884,
-0.04046543687582016,
0.009929636493325233,
-0.027963561937212944,
0.046660374850034714,
-0.03655414283275604,
0.018912093713879585,
0.02250881865620613,
-0.05405605956912041,
0.04719344526529312,
0.02508767507970333,
-0.0006788031314499676,
-0.010304446332156658,
0.0720624029636383,
-0.0012208031257614493,
-0.04798557981848717,
-0.022667523473501205,
0.0026785058435052633,
-0.0992925763130188,
-0.03605339303612709,
-0.00012124914792366326,
-0.038816843181848526,
-0.03502083197236061,
-0.019571578130126,
0.0410376600921154,
-0.09741503745317459,
0.005220496561378241,
0.0209028497338295,
0.061003535985946655,
-0.0034845906775444746,
-0.03741452470421791,
0.054074596613645554,
0.0786651223897934,
0.015375892631709576,
0.04343589395284653,
0.011153965257108212,
0.03283967822790146,
0.0531197264790535,
0.030589167028665543,
0.04102889820933342,
-0.025568680837750435,
0.0394902303814888,
-0.064609594643116,
0.007752431556582451,
0.0820201113820076,
-0.0018093348480761051,
-0.03418321534991264,
0.08828333020210266,
0.006084938067942858,
-0.03785938769578934,
0.0013302724109962583,
0.02997627668082714,
0.007394326385110617,
0.026946740224957466,
-0.06835505366325378,
-0.024007508531212807,
0.12063359469175339,
0.10516469180583954,
-0.018883995711803436,
0.012644384987652302,
0.06128421425819397,
-0.0999455600976944,
0.13134963810443878,
-0.04128895327448845,
-0.03359870985150337,
0.0038080147933214903,
0.015501651912927628,
1.2071516075513818e-33,
0.014123882167041302,
-0.03403986245393753,
0.01751476339995861,
-0.04648033156991005,
0.04092196747660637,
0.07229912281036377,
-0.03946677967905998,
-0.030391976237297058,
-0.07018925249576569,
-0.06224389001727104,
0.023980209603905678,
0.026004908606410027,
0.03271254524588585,
-0.002100583165884018,
0.04446840658783913,
-0.022968586534261703,
0.0832558274269104,
0.10468952357769012,
0.014165460132062435,
-0.06509632617235184,
0.0586487278342247,
-0.02994738705456257,
-0.0062143257819116116,
-0.04524252936244011,
0.019975069910287857,
-0.010643844492733479,
-0.06633887439966202,
-0.027209198102355003,
0.05535002425312996,
-0.031197471544146538,
-0.04180634766817093,
-0.06178956851363182,
0.044201817363500595,
0.007541797589510679,
0.044594839215278625,
0.02170354314148426,
-0.011807101778686047,
-0.1259198635816574,
0.05284159258008003,
-0.06802946329116821,
0.03289644047617912,
0.014661955647170544,
-0.08185242116451263,
-0.04054972156882286,
-0.10988449305295944,
0.0027106613852083683,
-0.02105884999036789,
0.07053358107805252,
-0.005479384679347277,
0.01318322028964758,
0.0018362754490226507,
0.07610267400741577,
-0.02681080810725689,
-0.03805427998304367,
0.007976504042744637,
-0.10702306777238846,
0.022160956636071205,
0.01632365770637989,
0.038439586758613586,
0.10729008167982101,
0.011792942881584167,
0.04339759424328804,
0.018294772133231163,
-0.03519332408905029,
0.0814439207315445,
-0.010552490130066872,
-0.022067131474614143,
-0.015864454209804535,
0.13935497403144836,
-0.020032595843076706,
-0.0038592570926994085,
0.03942110762000084,
0.06806770712137222,
0.05905187502503395,
-0.015877829864621162,
-0.01722378470003605,
-0.06820112466812134,
-0.07296352088451385,
0.05398140847682953,
-0.09556300938129425,
-0.04163041710853577,
-0.08741652965545654,
-0.024467499926686287,
0.045494455844163895,
-0.046127550303936005,
-0.029325101524591446,
-0.03320745751261711,
0.0771879106760025,
-0.08231593668460846,
0.00681546563282609,
-0.033994950354099274,
0.04060128331184387,
-0.004388834815472364,
0.0036949394270777702,
0.04433714225888252,
-1.6163403645531546e-33,
-0.038228996098041534,
-0.030462760478258133,
0.07744915038347244,
0.06104588136076927,
0.054695047438144684,
-0.08897010236978531,
-0.025248095393180847,
-0.052531491965055466,
-0.012158842757344246,
0.005475501995533705,
-0.0930003896355629,
-0.020945623517036438,
0.02863929606974125,
-0.019619787111878395,
0.04965795576572418,
0.030778707936406136,
0.05105007439851761,
-0.03340386599302292,
-0.05539390817284584,
-0.04473379999399185,
0.04393284395337105,
0.00611486379057169,
0.005326791666448116,
0.10526840388774872,
0.06944394111633301,
-0.02053000219166279,
0.03438794985413551,
-0.025871576741337776,
-0.0052251010201871395,
-0.018195051699876785,
0.04928014799952507,
-0.06152384728193283,
-0.009813645854592323,
-0.10189004242420197,
0.016162270680069923,
0.02977941371500492,
-0.010639079846441746,
0.07787096500396729,
-0.06820947676897049,
0.05569395422935486,
0.09169237315654755,
-0.03670641779899597,
-0.0674297884106636,
-0.025745699182152748,
0.04073550924658775,
0.027612140402197838,
-0.1544383019208908,
0.1018500104546547,
-0.09812190383672714,
-0.0069678472355008125,
0.05464182421565056,
0.04756326600909233,
-0.042081110179424286,
-0.05362165346741676,
0.017378345131874084,
0.06063663214445114,
-0.06107763573527336,
0.03939202055335045,
0.11289966851472855,
-0.024381374940276146,
0.05416525900363922,
-0.09957148879766464,
0.018516849726438522,
0.0028435506392270327,
0.06787323206663132,
-0.010661053471267223,
0.09147578477859497,
-0.04762532562017441,
0.003967121709138155,
0.0883893072605133,
0.0335201621055603,
0.035431087017059326,
0.023206479847431183,
-0.03161732852458954,
-0.002807202748954296,
0.028833286836743355,
0.017996352165937424,
0.03279222175478935,
0.022213513031601906,
0.014847920276224613,
-0.07659178227186203,
0.10200221091508865,
0.05252096429467201,
-0.009985427372157574,
-0.020864376798272133,
0.02953767590224743,
0.1399010419845581,
0.03182206302881241,
-0.03873728588223457,
-0.0646076574921608,
0.020372522994875908,
-0.025972720235586166,
0.014414947479963303,
-0.03748437762260437,
-0.051215313374996185,
-4.12001348593094e-8,
-0.0849403515458107,
-0.057495929300785065,
-0.05661740154027939,
0.1141592413187027,
-0.008890778757631779,
0.019450953230261803,
0.01736370660364628,
0.05297123268246651,
0.06599055975675583,
0.02188851311802864,
0.04200029373168945,
0.00733060110360384,
0.004953509662300348,
0.006654784083366394,
0.04315733164548874,
-0.02036954089999199,
-0.04161587730050087,
-0.03843708336353302,
-0.05276845395565033,
-0.004349181428551674,
-0.027611559256911278,
0.03660828620195389,
0.0009458105778321624,
0.070746049284935,
0.008367550559341908,
0.01043797843158245,
0.03540297597646713,
0.054807186126708984,
0.05101187899708748,
0.012319118715822697,
0.012091698125004768,
-0.062102895230054855,
0.05682368576526642,
0.024829911068081856,
0.005810764152556658,
-0.018803061917424202,
-0.08407546579837799,
0.006928357295691967,
-0.09768608957529068,
-0.010448839515447617,
0.05157880857586861,
-0.007798183709383011,
0.0012211970752105117,
0.07378218322992325,
0.08124826103448868,
-0.048176176846027374,
-0.018876085057854652,
-0.01810319535434246,
-0.030507218092679977,
-0.06628215312957764,
0.010058889165520668,
-0.0571279339492321,
-0.035464879125356674,
-0.03457462042570114,
0.03984823822975159,
0.04774080589413643,
0.016282882541418076,
-0.021750040352344513,
0.050741877406835556,
0.0008594486280344427,
0.005136116873472929,
0.06987651437520981,
-0.04585437849164009,
0.024739021435379982
] |
1401.8023
|
David Wood
|
Bradley Baetz and David R. Wood
|
Brooks' Vertex-Colouring Theorem in Linear Time
| null | null | null |
Technical Report CS-AAG-2001-05, Basser Department of Computer
Science, The University of Sydney, 2001
|
cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Brooks' Theorem [R. L. Brooks, On Colouring the Nodes of a Network, Proc.
Cambridge Philos. Soc.} 37:194-197, 1941] states that every graph $G$ with
maximum degree $\Delta$, has a vertex-colouring with $\Delta$ colours, unless
$G$ is a complete graph or an odd cycle, in which case $\Delta+1$ colours are
required. Lov\'asz [L. Lov\'asz, Three short proofs in graph theory, J. Combin.
Theory Ser. 19:269-271, 1975] gives an algorithmic proof of Brooks' Theorem.
Unfortunately this proof is missing important details and it is thus unclear
whether it leads to a linear time algorithm. In this paper we give a complete
description of the proof of Lov\'asz, and we derive a linear time algorithm for
determining the vertex-colouring guaranteed by Brooks' Theorem.
|
[
{
"created": "Thu, 30 Jan 2014 23:11:08 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Baetz",
"Bradley",
""
],
[
"Wood",
"David R.",
""
]
] |
[
-0.05914364382624626,
0.048923786729574203,
0.032021041959524155,
0.00022779339633416384,
0.07313722372055054,
0.072684146463871,
0.06615311652421951,
-0.09167660772800446,
0.014885012991726398,
0.01593794859945774,
-0.06886322796344757,
0.07672281563282013,
0.07910993695259094,
-0.01308382023125887,
0.011652507819235325,
0.0711371898651123,
0.002129398053511977,
0.023252224549651146,
-0.0070291487500071526,
-0.07353022694587708,
-0.03282769024372101,
-0.09260793775320053,
-0.014284728094935417,
-0.028444983065128326,
-0.03149105980992317,
-0.04287545010447502,
0.0029444650281220675,
-0.07978565245866776,
0.05565258860588074,
0.0031924345530569553,
-0.008605455979704857,
-0.005157887004315853,
0.05969224125146866,
0.033119503408670425,
-0.03920038789510727,
-0.014482162892818451,
0.048175983130931854,
0.012823679484426975,
0.02514047361910343,
0.11645718663930893,
0.08321424573659897,
0.03128904849290848,
0.011840257793664932,
0.035495974123477936,
-0.05696554481983185,
0.04199277237057686,
0.02876386232674122,
0.02044302597641945,
-0.089235320687294,
-0.01643475331366062,
-0.02027355693280697,
-0.07365523278713226,
-0.0816614180803299,
-0.030036401003599167,
0.00465535931289196,
-0.03541746735572815,
0.01100985798984766,
0.03808107227087021,
0.008142724633216858,
0.049304649233818054,
0.051592305302619934,
-0.04789326339960098,
-0.05586009472608566,
0.03951210156083107,
0.05346447229385376,
0.06924781948328018,
0.053013674914836884,
-0.04992511123418808,
-0.08136819303035736,
0.06283710896968842,
0.04516621679067612,
0.0016255375230684876,
-0.0814841017127037,
0.0521562434732914,
0.04658842459321022,
0.06870198249816895,
0.11120685189962387,
0.06747889518737793,
-0.04678494483232498,
-0.05047096684575081,
-0.05542175844311714,
-0.054321009665727615,
-0.011191600933670998,
-0.028460999950766563,
-0.009345274418592453,
-0.016734080389142036,
-0.10928964614868164,
-0.016817113384604454,
0.016983525827527046,
0.04346918687224388,
-0.038235075771808624,
0.04934491217136383,
-0.053026676177978516,
0.016390452161431313,
-0.02258150838315487,
-0.007947900332510471,
0.029157131910324097,
0.03256264701485634,
0.0704580694437027,
0.0389518104493618,
-0.006544130854308605,
-0.08973047882318497,
0.023850077763199806,
0.0000010699861832108581,
0.05718877539038658,
0.045457158237695694,
-0.009613148868083954,
0.01108983252197504,
-0.041519686579704285,
-0.046121083199977875,
0.060702644288539886,
0.047154005616903305,
0.039620283991098404,
0.044159889221191406,
-0.02973201684653759,
-0.07441329956054688,
-0.01756497472524643,
-0.020285237580537796,
0.08253268152475357,
-0.00949047040194273,
0.04938603192567825,
0.03645999729633331,
-0.031267277896404266,
-0.04342155158519745,
-0.03226756677031517,
0.008359735831618309,
0.044503066688776016,
-1.0209535778876199e-33,
0.05625340715050697,
0.027859337627887726,
0.07908965647220612,
-0.06789837032556534,
0.0796683058142662,
0.0217699334025383,
-0.044628582894802094,
-0.09455197304487228,
-0.005760908592492342,
-0.029298942536115646,
-0.0012461470905691385,
-0.018421204760670662,
0.03544507920742035,
-0.00800585187971592,
0.015852859243750572,
-0.004020228981971741,
0.0762731060385704,
-0.07689639180898666,
0.010995976626873016,
-0.05704837664961815,
0.09529244899749756,
-0.026672767475247383,
-0.03920949995517731,
-0.008390231058001518,
-0.000553250836674124,
-0.00803871639072895,
0.059140246361494064,
-0.01714956760406494,
0.04813762009143829,
-0.02032199129462242,
-0.08502574265003204,
0.007690934464335442,
-0.014517965726554394,
0.1263740062713623,
-0.03049405664205551,
-0.01709694042801857,
0.02315644547343254,
0.003639437723904848,
-0.018774600699543953,
-0.006342889275401831,
-0.02584376558661461,
0.05554703623056412,
-0.03934895619750023,
-0.010012196376919746,
-0.0007176666986197233,
0.0030986519996076822,
-0.014214394614100456,
-0.00844885315746069,
-0.026968535035848618,
0.026493491604924202,
-0.037454407662153244,
-0.03361906483769417,
0.018246835097670555,
-0.026350077241659164,
0.043597135692834854,
-0.0007594268536195159,
0.037668123841285706,
0.04925423488020897,
0.06902312487363815,
0.1146128922700882,
0.06090649589896202,
0.01584370993077755,
0.02862696908414364,
0.02500350959599018,
-0.07304776459932327,
0.027901994064450264,
-0.06883388012647629,
-0.03567427769303322,
0.05893506482243538,
-0.09892832487821579,
-0.04760707914829254,
0.07694318890571594,
-0.0008834617328830063,
-0.09382890164852142,
0.03157486394047737,
-0.07998230308294296,
0.006436587311327457,
-0.10259142518043518,
-0.005217339843511581,
0.028527285903692245,
-0.07562625408172607,
-0.07477591931819916,
-0.005565805826336145,
-0.06311862915754318,
-0.0789203867316246,
-0.040843553841114044,
0.013900017365813255,
0.04485505446791649,
-0.09584774821996689,
-0.050754111260175705,
0.022541435435414314,
0.007597771938890219,
0.0170306283980608,
0.014344317838549614,
0.0553167350590229,
-1.6557801056097876e-34,
0.03458543121814728,
-0.04939000681042671,
0.04941678047180176,
0.11258162558078766,
0.042219288647174835,
-0.07909156382083893,
0.025160018354654312,
0.02913985215127468,
-0.06270895898342133,
0.012251707725226879,
0.0292756799608469,
0.029317544773221016,
0.005636271089315414,
0.028960810974240303,
-0.01613510772585869,
-0.03138257935643196,
0.0003098303568549454,
0.024566134437918663,
-0.07853984832763672,
0.029355671256780624,
-0.019480587914586067,
0.06353458017110825,
-0.04594375565648079,
-0.06202172115445137,
0.025104081258177757,
0.0122856879606843,
-0.05855994671583176,
0.09808856248855591,
-0.07493270188570023,
0.05451307073235512,
-0.028912339359521866,
-0.03616534546017647,
-0.058964770287275314,
-0.05742769315838814,
0.005723198875784874,
0.0009696835768409073,
0.042824383825063705,
0.0061410171911120415,
-0.024461917579174042,
0.0905074030160904,
0.044845204800367355,
-0.09648428112268448,
-0.0877879336476326,
0.01598494127392769,
0.03555024042725563,
0.06993848085403442,
-0.057848911732435226,
0.0020310182590037584,
-0.08454432338476181,
-0.037408847361803055,
-0.024643393233418465,
-0.00738482316955924,
0.05884694308042526,
0.018176725134253502,
0.03232451155781746,
-0.03786312788724899,
-0.020752685144543648,
0.10706978291273117,
0.011151028797030449,
0.028874363750219345,
-0.046159666031599045,
0.04735623672604561,
-0.06365819275379181,
0.04882542043924332,
0.027048973366618156,
-0.051438815891742706,
-0.025203479453921318,
-0.08823111653327942,
0.06829604506492615,
0.03189937025308609,
0.035242531448602676,
0.07023480534553528,
-0.11742869764566422,
0.013552912510931492,
0.03762414678931236,
0.05354916304349899,
0.052743490785360336,
0.08349363505840302,
-0.12487561255693436,
0.08479180186986923,
-0.03643359616398811,
0.028385311365127563,
0.01732495427131653,
-0.0053264182060956955,
0.015757014974951744,
-0.046639665961265564,
0.016340073198080063,
-0.034811727702617645,
0.02385709248483181,
-0.00498043792322278,
0.009002801962196827,
-0.060896098613739014,
-0.05404279753565788,
0.06362542510032654,
-0.017274200916290283,
-3.915564761314272e-8,
-0.13844189047813416,
0.061003975570201874,
0.00550500862300396,
-0.01043801661580801,
0.11676844209432602,
-0.05870099738240242,
0.16234080493450165,
0.019872188568115234,
-0.016742946580052376,
0.11304157227277756,
0.062054190784692764,
0.03124808333814144,
0.02894146554172039,
0.04957486316561699,
-0.05415784940123558,
0.000010950392606901005,
-0.03761359304189682,
-0.07025327533483505,
0.04423677176237106,
0.04328965023159981,
-0.07539313286542892,
-0.049845919013023376,
0.024586645886301994,
0.033219315111637115,
-0.015052196569740772,
-0.005251860711723566,
-0.025521330535411835,
-0.010539457201957703,
0.0655742958188057,
0.05529608950018883,
-0.07904397696256638,
0.029869532212615013,
0.062226552516222,
0.020528655499219894,
0.01348936464637518,
-0.01203902531415224,
-0.0780564695596695,
0.09970244765281677,
-0.010139494203031063,
-0.010777170769870281,
-0.10435424000024796,
0.04180952161550522,
-0.06383492052555084,
-0.03192214295268059,
0.034631576389074326,
-0.06069512665271759,
0.004750864114612341,
0.054582782089710236,
-0.07989449799060822,
0.03651339188218117,
-0.018604224547743797,
-0.027071459218859673,
-0.027409931644797325,
-0.06034918129444122,
-0.021301351487636566,
-0.01818099431693554,
-0.014738090336322784,
0.00932397786527872,
0.014344329945743084,
-0.023897923529148102,
-0.04863622039556503,
0.020645104348659515,
0.0007896024617366493,
-0.07976426929235458
] | null | null | null | null | null | null | null |
[
-0.05914364382624626,
0.048923786729574203,
0.032021041959524155,
0.00022779339633416384,
0.07313722372055054,
0.072684146463871,
0.06615311652421951,
-0.09167660772800446,
0.014885012991726398,
0.01593794859945774,
-0.06886322796344757,
0.07672281563282013,
0.07910993695259094,
-0.01308382023125887,
0.011652507819235325,
0.0711371898651123,
0.002129398053511977,
0.023252224549651146,
-0.0070291487500071526,
-0.07353022694587708,
-0.03282769024372101,
-0.09260793775320053,
-0.014284728094935417,
-0.028444983065128326,
-0.03149105980992317,
-0.04287545010447502,
0.0029444650281220675,
-0.07978565245866776,
0.05565258860588074,
0.0031924345530569553,
-0.008605455979704857,
-0.005157887004315853,
0.05969224125146866,
0.033119503408670425,
-0.03920038789510727,
-0.014482162892818451,
0.048175983130931854,
0.012823679484426975,
0.02514047361910343,
0.11645718663930893,
0.08321424573659897,
0.03128904849290848,
0.011840257793664932,
0.035495974123477936,
-0.05696554481983185,
0.04199277237057686,
0.02876386232674122,
0.02044302597641945,
-0.089235320687294,
-0.01643475331366062,
-0.02027355693280697,
-0.07365523278713226,
-0.0816614180803299,
-0.030036401003599167,
0.00465535931289196,
-0.03541746735572815,
0.01100985798984766,
0.03808107227087021,
0.008142724633216858,
0.049304649233818054,
0.051592305302619934,
-0.04789326339960098,
-0.05586009472608566,
0.03951210156083107,
0.05346447229385376,
0.06924781948328018,
0.053013674914836884,
-0.04992511123418808,
-0.08136819303035736,
0.06283710896968842,
0.04516621679067612,
0.0016255375230684876,
-0.0814841017127037,
0.0521562434732914,
0.04658842459321022,
0.06870198249816895,
0.11120685189962387,
0.06747889518737793,
-0.04678494483232498,
-0.05047096684575081,
-0.05542175844311714,
-0.054321009665727615,
-0.011191600933670998,
-0.028460999950766563,
-0.009345274418592453,
-0.016734080389142036,
-0.10928964614868164,
-0.016817113384604454,
0.016983525827527046,
0.04346918687224388,
-0.038235075771808624,
0.04934491217136383,
-0.053026676177978516,
0.016390452161431313,
-0.02258150838315487,
-0.007947900332510471,
0.029157131910324097,
0.03256264701485634,
0.0704580694437027,
0.0389518104493618,
-0.006544130854308605,
-0.08973047882318497,
0.023850077763199806,
0.0000010699861832108581,
0.05718877539038658,
0.045457158237695694,
-0.009613148868083954,
0.01108983252197504,
-0.041519686579704285,
-0.046121083199977875,
0.060702644288539886,
0.047154005616903305,
0.039620283991098404,
0.044159889221191406,
-0.02973201684653759,
-0.07441329956054688,
-0.01756497472524643,
-0.020285237580537796,
0.08253268152475357,
-0.00949047040194273,
0.04938603192567825,
0.03645999729633331,
-0.031267277896404266,
-0.04342155158519745,
-0.03226756677031517,
0.008359735831618309,
0.044503066688776016,
-1.0209535778876199e-33,
0.05625340715050697,
0.027859337627887726,
0.07908965647220612,
-0.06789837032556534,
0.0796683058142662,
0.0217699334025383,
-0.044628582894802094,
-0.09455197304487228,
-0.005760908592492342,
-0.029298942536115646,
-0.0012461470905691385,
-0.018421204760670662,
0.03544507920742035,
-0.00800585187971592,
0.015852859243750572,
-0.004020228981971741,
0.0762731060385704,
-0.07689639180898666,
0.010995976626873016,
-0.05704837664961815,
0.09529244899749756,
-0.026672767475247383,
-0.03920949995517731,
-0.008390231058001518,
-0.000553250836674124,
-0.00803871639072895,
0.059140246361494064,
-0.01714956760406494,
0.04813762009143829,
-0.02032199129462242,
-0.08502574265003204,
0.007690934464335442,
-0.014517965726554394,
0.1263740062713623,
-0.03049405664205551,
-0.01709694042801857,
0.02315644547343254,
0.003639437723904848,
-0.018774600699543953,
-0.006342889275401831,
-0.02584376558661461,
0.05554703623056412,
-0.03934895619750023,
-0.010012196376919746,
-0.0007176666986197233,
0.0030986519996076822,
-0.014214394614100456,
-0.00844885315746069,
-0.026968535035848618,
0.026493491604924202,
-0.037454407662153244,
-0.03361906483769417,
0.018246835097670555,
-0.026350077241659164,
0.043597135692834854,
-0.0007594268536195159,
0.037668123841285706,
0.04925423488020897,
0.06902312487363815,
0.1146128922700882,
0.06090649589896202,
0.01584370993077755,
0.02862696908414364,
0.02500350959599018,
-0.07304776459932327,
0.027901994064450264,
-0.06883388012647629,
-0.03567427769303322,
0.05893506482243538,
-0.09892832487821579,
-0.04760707914829254,
0.07694318890571594,
-0.0008834617328830063,
-0.09382890164852142,
0.03157486394047737,
-0.07998230308294296,
0.006436587311327457,
-0.10259142518043518,
-0.005217339843511581,
0.028527285903692245,
-0.07562625408172607,
-0.07477591931819916,
-0.005565805826336145,
-0.06311862915754318,
-0.0789203867316246,
-0.040843553841114044,
0.013900017365813255,
0.04485505446791649,
-0.09584774821996689,
-0.050754111260175705,
0.022541435435414314,
0.007597771938890219,
0.0170306283980608,
0.014344317838549614,
0.0553167350590229,
-1.6557801056097876e-34,
0.03458543121814728,
-0.04939000681042671,
0.04941678047180176,
0.11258162558078766,
0.042219288647174835,
-0.07909156382083893,
0.025160018354654312,
0.02913985215127468,
-0.06270895898342133,
0.012251707725226879,
0.0292756799608469,
0.029317544773221016,
0.005636271089315414,
0.028960810974240303,
-0.01613510772585869,
-0.03138257935643196,
0.0003098303568549454,
0.024566134437918663,
-0.07853984832763672,
0.029355671256780624,
-0.019480587914586067,
0.06353458017110825,
-0.04594375565648079,
-0.06202172115445137,
0.025104081258177757,
0.0122856879606843,
-0.05855994671583176,
0.09808856248855591,
-0.07493270188570023,
0.05451307073235512,
-0.028912339359521866,
-0.03616534546017647,
-0.058964770287275314,
-0.05742769315838814,
0.005723198875784874,
0.0009696835768409073,
0.042824383825063705,
0.0061410171911120415,
-0.024461917579174042,
0.0905074030160904,
0.044845204800367355,
-0.09648428112268448,
-0.0877879336476326,
0.01598494127392769,
0.03555024042725563,
0.06993848085403442,
-0.057848911732435226,
0.0020310182590037584,
-0.08454432338476181,
-0.037408847361803055,
-0.024643393233418465,
-0.00738482316955924,
0.05884694308042526,
0.018176725134253502,
0.03232451155781746,
-0.03786312788724899,
-0.020752685144543648,
0.10706978291273117,
0.011151028797030449,
0.028874363750219345,
-0.046159666031599045,
0.04735623672604561,
-0.06365819275379181,
0.04882542043924332,
0.027048973366618156,
-0.051438815891742706,
-0.025203479453921318,
-0.08823111653327942,
0.06829604506492615,
0.03189937025308609,
0.035242531448602676,
0.07023480534553528,
-0.11742869764566422,
0.013552912510931492,
0.03762414678931236,
0.05354916304349899,
0.052743490785360336,
0.08349363505840302,
-0.12487561255693436,
0.08479180186986923,
-0.03643359616398811,
0.028385311365127563,
0.01732495427131653,
-0.0053264182060956955,
0.015757014974951744,
-0.046639665961265564,
0.016340073198080063,
-0.034811727702617645,
0.02385709248483181,
-0.00498043792322278,
0.009002801962196827,
-0.060896098613739014,
-0.05404279753565788,
0.06362542510032654,
-0.017274200916290283,
-3.915564761314272e-8,
-0.13844189047813416,
0.061003975570201874,
0.00550500862300396,
-0.01043801661580801,
0.11676844209432602,
-0.05870099738240242,
0.16234080493450165,
0.019872188568115234,
-0.016742946580052376,
0.11304157227277756,
0.062054190784692764,
0.03124808333814144,
0.02894146554172039,
0.04957486316561699,
-0.05415784940123558,
0.000010950392606901005,
-0.03761359304189682,
-0.07025327533483505,
0.04423677176237106,
0.04328965023159981,
-0.07539313286542892,
-0.049845919013023376,
0.024586645886301994,
0.033219315111637115,
-0.015052196569740772,
-0.005251860711723566,
-0.025521330535411835,
-0.010539457201957703,
0.0655742958188057,
0.05529608950018883,
-0.07904397696256638,
0.029869532212615013,
0.062226552516222,
0.020528655499219894,
0.01348936464637518,
-0.01203902531415224,
-0.0780564695596695,
0.09970244765281677,
-0.010139494203031063,
-0.010777170769870281,
-0.10435424000024796,
0.04180952161550522,
-0.06383492052555084,
-0.03192214295268059,
0.034631576389074326,
-0.06069512665271759,
0.004750864114612341,
0.054582782089710236,
-0.07989449799060822,
0.03651339188218117,
-0.018604224547743797,
-0.027071459218859673,
-0.027409931644797325,
-0.06034918129444122,
-0.021301351487636566,
-0.01818099431693554,
-0.014738090336322784,
0.00932397786527872,
0.014344329945743084,
-0.023897923529148102,
-0.04863622039556503,
0.020645104348659515,
0.0007896024617366493,
-0.07976426929235458
] |
1401.8030
|
Asif Haque
|
Asif Haque
|
Transit Fare Arbitrage: Case Study of San Francisco Bay Area Rapid
Transit (BART) System
| null | null | null | null |
cs.CY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Transit fare arbitrage is the scenario when two or more commuters agree to
swap tickets during travel in such a way that total cost is lower than
otherwise. Such arbitrage allows pricing inefficiencies to be explored and
exploited, leading to improved pricing models. In this paper we discuss the
basics of fare arbitrage through an intuitive pricing framework involving
population density. We then analyze the San Francisco Bay Area Rapid Transit
(BART) system to understand underlying inefficiencies. We also provide source
code and comprehensive list of pairs of trips with significant arbitrage gain
at github.com/asifhaque/transit-arbitrage. Finally, we point towards a uniform
payment interface for different kinds of transit systems.
|
[
{
"created": "Thu, 30 Jan 2014 23:45:01 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Haque",
"Asif",
""
]
] |
[
0.049255695194005966,
-0.041866593062877655,
0.008887293748557568,
0.06391434371471405,
-0.028956366702914238,
0.01846049726009369,
0.09546120464801788,
-0.004226318560540676,
0.002417744370177388,
0.050705745816230774,
-0.02915150672197342,
-0.03760731592774391,
-0.004507727921009064,
0.016889942809939384,
-0.04701700806617737,
-0.04271311312913895,
0.08204545080661774,
-0.03672331944108009,
0.06258935481309891,
0.03945536911487579,
-0.03881676495075226,
-0.08696357905864716,
-0.11634457111358643,
-0.038947075605392456,
0.08677971363067627,
-0.06433823704719543,
0.04237653315067291,
0.024448877200484276,
-0.001331058912910521,
-0.02270473726093769,
-0.007862810976803303,
0.0509178526699543,
0.016800278797745705,
0.006292150821536779,
-0.06022672727704048,
-0.020578065887093544,
-0.002510126680135727,
-0.034632887691259384,
-0.015315746888518333,
0.04358504340052605,
-0.015166831202805042,
-0.008177769370377064,
-0.039224814623594284,
0.08474526554346085,
-0.00008541462011635303,
-0.03836122527718544,
0.037035878747701645,
0.05700727179646492,
0.05256971716880798,
0.01739339716732502,
0.028179189190268517,
0.03365671634674072,
-0.00018326859571971,
0.001736574457027018,
-0.037960123270750046,
0.015817837789654732,
-0.01082527544349432,
-0.018540874123573303,
0.00683561759069562,
0.01518288254737854,
-0.062071941792964935,
-0.020930863916873932,
0.011881818063557148,
0.021754715591669083,
-0.012666713446378708,
0.01806393451988697,
0.01854669488966465,
0.036891113966703415,
-0.014671293087303638,
0.02518731914460659,
-0.030623028054833412,
0.07998042553663254,
-0.03622831404209137,
0.05967788025736809,
0.04894871637225151,
-0.06340648233890533,
0.04403559863567352,
-0.0014813512098044157,
-0.024876968935132027,
0.000301685300655663,
-0.06862352788448334,
-0.0885336622595787,
-0.06339216232299805,
0.005336031783372164,
0.06129709258675575,
-0.027346858754754066,
-0.0006495528505183756,
-0.02551393024623394,
0.0028978814370930195,
0.0007597060175612569,
0.0613248348236084,
0.051907915621995926,
0.07794678956270218,
-0.0680643692612648,
-0.04491604492068291,
0.10598336160182953,
-0.08145209401845932,
-0.05673442408442497,
0.014754388481378555,
0.028026336804032326,
-0.0398685485124588,
0.07877255976200104,
0.054364435374736786,
0.023401226848363876,
0.04405917972326279,
-0.02374831959605217,
0.009888673201203346,
-0.030173681676387787,
0.01237108651548624,
0.009217255748808384,
-0.011053068563342094,
-0.019229251891374588,
-0.015090210363268852,
0.025811366736888885,
-0.13126583397388458,
0.04668257758021355,
0.045303355902433395,
-0.04490216448903084,
0.04464208707213402,
-0.050886306911706924,
-0.03163661062717438,
-0.025781255215406418,
-0.05061075836420059,
0.033013809472322464,
-0.06552168726921082,
0.004513910971581936,
0.028962917625904083,
4.2285881957977525e-33,
-0.07074052840471268,
-0.03261731192469597,
0.0043349736370146275,
-0.04255441576242447,
-0.01677023246884346,
-0.059997715055942535,
-0.08866620063781738,
-0.010578497312963009,
-0.02666720747947693,
0.0051209223456680775,
-0.020808029919862747,
-0.011012238450348377,
0.03788240626454353,
0.02044055610895157,
0.08198016881942749,
-0.02915806509554386,
-0.121209055185318,
0.034184060990810394,
0.10242494195699692,
-0.03555934503674507,
-0.0462987907230854,
-0.014583881944417953,
-0.01468647550791502,
-0.050701964646577835,
-0.024039747193455696,
0.04330684244632721,
0.009460038505494595,
-0.06132439523935318,
0.12834085524082184,
0.01974722556769848,
-0.11644842475652695,
0.10982971638441086,
0.03128553181886673,
0.039980821311473846,
-0.09724035859107971,
0.015650877729058266,
0.029610978439450264,
-0.029664330184459686,
0.0025442137848585844,
0.0020593313965946436,
-0.11668992787599564,
-0.006447111256420612,
-0.012770771980285645,
-0.03165527433156967,
-0.09461355954408646,
-0.002499067224562168,
0.03333590179681778,
-0.08243723958730698,
-0.0026222087908536196,
0.0853942483663559,
-0.03774452209472656,
-0.00449962355196476,
-0.0065579903312027454,
-0.035953111946582794,
-0.06363442540168762,
-0.05430995672941208,
-0.010078643448650837,
0.04692657291889191,
-0.00795594323426485,
0.03063075803220272,
-0.04180491715669632,
-0.027316605672240257,
0.12216348201036453,
-0.006925195921212435,
0.01823464222252369,
0.055045418441295624,
0.0021064025349915028,
0.032034941017627716,
0.04552256688475609,
0.029334548860788345,
-0.021439073607325554,
0.030831338837742805,
0.0746404156088829,
0.0026985134463757277,
0.00047372610424645245,
0.041052453219890594,
-0.005559042561799288,
-0.019850701093673706,
0.05497881770133972,
0.010401826351881027,
-0.040173158049583435,
-0.018102798610925674,
0.024978026747703552,
0.016157304868102074,
0.11867837607860565,
0.034546609967947006,
0.068111851811409,
-0.012509324587881565,
-0.028183789923787117,
-0.0641862228512764,
-0.02578016370534897,
0.02793220430612564,
-0.0295470729470253,
0.01637747511267662,
0.08198242634534836,
-4.8896597700773135e-33,
0.012377004139125347,
0.04059910774230957,
-0.032775960862636566,
0.02696043998003006,
-0.07910995185375214,
-0.04215380176901817,
0.007170922122895718,
-0.0411464087665081,
0.025748588144779205,
0.07843445986509323,
-0.14170946180820465,
0.04271118715405464,
0.007933106273412704,
-0.025984589010477066,
0.05801256746053696,
-0.13197673857212067,
0.05548033118247986,
-0.03402270749211311,
-0.03291315957903862,
-0.060658518224954605,
-0.029402142390608788,
0.01632259227335453,
-0.0015154433203861117,
-0.00510764354839921,
0.011694647371768951,
0.05040264502167702,
0.01914503052830696,
0.02085651271045208,
-0.06398388743400574,
0.0644136443734169,
-0.08324167877435684,
-0.02355213090777397,
0.07019580900669098,
-0.09540408849716187,
-0.024796944111585617,
0.08782970905303955,
0.048822999000549316,
0.15438830852508545,
0.020155534148216248,
-0.0016249328618869185,
-0.023542508482933044,
-0.10371562093496323,
0.06396537274122238,
-0.04395218566060066,
0.08792468160390854,
0.029672151431441307,
-0.014057784341275692,
-0.03302241489291191,
0.034589335322380066,
-0.041526202112436295,
0.054274782538414,
0.02866903319954872,
-0.033696990460157394,
0.07055190205574036,
-0.10354222357273102,
-0.01473144255578518,
0.007516015321016312,
-0.009296252392232418,
0.03057181090116501,
-0.031979821622371674,
0.015714189037680626,
0.030221467837691307,
-0.036202214658260345,
0.11023575812578201,
-0.01069230679422617,
-0.014490652829408646,
0.014272244647145271,
-0.15827123820781708,
-0.06587426364421844,
-0.02099481411278248,
-0.008442721329629421,
-0.0065186163410544395,
0.042001403868198395,
0.032689861953258514,
0.05090756714344025,
0.01880831830203533,
0.1042674109339714,
0.08804221451282501,
0.04176245257258415,
0.055374473333358765,
0.004545636009424925,
0.054445356130599976,
0.0227953027933836,
0.01958121545612812,
-0.12464594095945358,
-0.10557349771261215,
-0.03067648783326149,
0.005934298038482666,
-0.07719167321920395,
0.0004160612297710031,
-0.049515023827552795,
0.08356185257434845,
-0.0007802883628755808,
-0.06966532766819,
-0.06249339133501053,
-4.498787475881727e-8,
0.016999999061226845,
0.022489184513688087,
-0.0007614652276970446,
-0.0248317401856184,
-0.0013790704542770982,
0.0063462043181061745,
-0.05508218705654144,
0.07040837407112122,
-0.08374075591564178,
0.011686044745147228,
0.05129822716116905,
0.10692743211984634,
0.0393286868929863,
0.05532586947083473,
-0.03809167817234993,
0.052187226712703705,
-0.00896302331238985,
-0.01882019266486168,
-0.07870215177536011,
-0.005158278159797192,
-0.07338134944438934,
0.08298389613628387,
-0.02022930234670639,
-0.03148292005062103,
0.014168189838528633,
0.0982932448387146,
0.006720585748553276,
0.06949508935213089,
0.08394811302423477,
0.0014823278179392219,
-0.0809725821018219,
0.03319847583770752,
-0.03724060580134392,
-0.01327567733824253,
0.11018454283475876,
0.0001897211477626115,
-0.03515263646841049,
-0.011260311119258404,
0.04990663006901741,
-0.011423507705330849,
-0.0202694870531559,
-0.011725797317922115,
-0.08956471085548401,
-0.01115038525313139,
0.108918696641922,
-0.007455505896359682,
-0.07014024257659912,
0.02977779693901539,
-0.00836124736815691,
0.008345012553036213,
0.010978409089148045,
-0.009821949526667595,
-0.01734486222267151,
-0.009021998383104801,
-0.010411195456981659,
-0.11710766702890396,
-0.05475415289402008,
-0.020391497761011124,
-0.005417556036263704,
0.062505342066288,
0.05441642180085182,
0.02888229303061962,
-0.041529301553964615,
0.04240042716264725
] | null | null | null | null | null | null | null |
[
0.049255695194005966,
-0.041866593062877655,
0.008887293748557568,
0.06391434371471405,
-0.028956366702914238,
0.01846049726009369,
0.09546120464801788,
-0.004226318560540676,
0.002417744370177388,
0.050705745816230774,
-0.02915150672197342,
-0.03760731592774391,
-0.004507727921009064,
0.016889942809939384,
-0.04701700806617737,
-0.04271311312913895,
0.08204545080661774,
-0.03672331944108009,
0.06258935481309891,
0.03945536911487579,
-0.03881676495075226,
-0.08696357905864716,
-0.11634457111358643,
-0.038947075605392456,
0.08677971363067627,
-0.06433823704719543,
0.04237653315067291,
0.024448877200484276,
-0.001331058912910521,
-0.02270473726093769,
-0.007862810976803303,
0.0509178526699543,
0.016800278797745705,
0.006292150821536779,
-0.06022672727704048,
-0.020578065887093544,
-0.002510126680135727,
-0.034632887691259384,
-0.015315746888518333,
0.04358504340052605,
-0.015166831202805042,
-0.008177769370377064,
-0.039224814623594284,
0.08474526554346085,
-0.00008541462011635303,
-0.03836122527718544,
0.037035878747701645,
0.05700727179646492,
0.05256971716880798,
0.01739339716732502,
0.028179189190268517,
0.03365671634674072,
-0.00018326859571971,
0.001736574457027018,
-0.037960123270750046,
0.015817837789654732,
-0.01082527544349432,
-0.018540874123573303,
0.00683561759069562,
0.01518288254737854,
-0.062071941792964935,
-0.020930863916873932,
0.011881818063557148,
0.021754715591669083,
-0.012666713446378708,
0.01806393451988697,
0.01854669488966465,
0.036891113966703415,
-0.014671293087303638,
0.02518731914460659,
-0.030623028054833412,
0.07998042553663254,
-0.03622831404209137,
0.05967788025736809,
0.04894871637225151,
-0.06340648233890533,
0.04403559863567352,
-0.0014813512098044157,
-0.024876968935132027,
0.000301685300655663,
-0.06862352788448334,
-0.0885336622595787,
-0.06339216232299805,
0.005336031783372164,
0.06129709258675575,
-0.027346858754754066,
-0.0006495528505183756,
-0.02551393024623394,
0.0028978814370930195,
0.0007597060175612569,
0.0613248348236084,
0.051907915621995926,
0.07794678956270218,
-0.0680643692612648,
-0.04491604492068291,
0.10598336160182953,
-0.08145209401845932,
-0.05673442408442497,
0.014754388481378555,
0.028026336804032326,
-0.0398685485124588,
0.07877255976200104,
0.054364435374736786,
0.023401226848363876,
0.04405917972326279,
-0.02374831959605217,
0.009888673201203346,
-0.030173681676387787,
0.01237108651548624,
0.009217255748808384,
-0.011053068563342094,
-0.019229251891374588,
-0.015090210363268852,
0.025811366736888885,
-0.13126583397388458,
0.04668257758021355,
0.045303355902433395,
-0.04490216448903084,
0.04464208707213402,
-0.050886306911706924,
-0.03163661062717438,
-0.025781255215406418,
-0.05061075836420059,
0.033013809472322464,
-0.06552168726921082,
0.004513910971581936,
0.028962917625904083,
4.2285881957977525e-33,
-0.07074052840471268,
-0.03261731192469597,
0.0043349736370146275,
-0.04255441576242447,
-0.01677023246884346,
-0.059997715055942535,
-0.08866620063781738,
-0.010578497312963009,
-0.02666720747947693,
0.0051209223456680775,
-0.020808029919862747,
-0.011012238450348377,
0.03788240626454353,
0.02044055610895157,
0.08198016881942749,
-0.02915806509554386,
-0.121209055185318,
0.034184060990810394,
0.10242494195699692,
-0.03555934503674507,
-0.0462987907230854,
-0.014583881944417953,
-0.01468647550791502,
-0.050701964646577835,
-0.024039747193455696,
0.04330684244632721,
0.009460038505494595,
-0.06132439523935318,
0.12834085524082184,
0.01974722556769848,
-0.11644842475652695,
0.10982971638441086,
0.03128553181886673,
0.039980821311473846,
-0.09724035859107971,
0.015650877729058266,
0.029610978439450264,
-0.029664330184459686,
0.0025442137848585844,
0.0020593313965946436,
-0.11668992787599564,
-0.006447111256420612,
-0.012770771980285645,
-0.03165527433156967,
-0.09461355954408646,
-0.002499067224562168,
0.03333590179681778,
-0.08243723958730698,
-0.0026222087908536196,
0.0853942483663559,
-0.03774452209472656,
-0.00449962355196476,
-0.0065579903312027454,
-0.035953111946582794,
-0.06363442540168762,
-0.05430995672941208,
-0.010078643448650837,
0.04692657291889191,
-0.00795594323426485,
0.03063075803220272,
-0.04180491715669632,
-0.027316605672240257,
0.12216348201036453,
-0.006925195921212435,
0.01823464222252369,
0.055045418441295624,
0.0021064025349915028,
0.032034941017627716,
0.04552256688475609,
0.029334548860788345,
-0.021439073607325554,
0.030831338837742805,
0.0746404156088829,
0.0026985134463757277,
0.00047372610424645245,
0.041052453219890594,
-0.005559042561799288,
-0.019850701093673706,
0.05497881770133972,
0.010401826351881027,
-0.040173158049583435,
-0.018102798610925674,
0.024978026747703552,
0.016157304868102074,
0.11867837607860565,
0.034546609967947006,
0.068111851811409,
-0.012509324587881565,
-0.028183789923787117,
-0.0641862228512764,
-0.02578016370534897,
0.02793220430612564,
-0.0295470729470253,
0.01637747511267662,
0.08198242634534836,
-4.8896597700773135e-33,
0.012377004139125347,
0.04059910774230957,
-0.032775960862636566,
0.02696043998003006,
-0.07910995185375214,
-0.04215380176901817,
0.007170922122895718,
-0.0411464087665081,
0.025748588144779205,
0.07843445986509323,
-0.14170946180820465,
0.04271118715405464,
0.007933106273412704,
-0.025984589010477066,
0.05801256746053696,
-0.13197673857212067,
0.05548033118247986,
-0.03402270749211311,
-0.03291315957903862,
-0.060658518224954605,
-0.029402142390608788,
0.01632259227335453,
-0.0015154433203861117,
-0.00510764354839921,
0.011694647371768951,
0.05040264502167702,
0.01914503052830696,
0.02085651271045208,
-0.06398388743400574,
0.0644136443734169,
-0.08324167877435684,
-0.02355213090777397,
0.07019580900669098,
-0.09540408849716187,
-0.024796944111585617,
0.08782970905303955,
0.048822999000549316,
0.15438830852508545,
0.020155534148216248,
-0.0016249328618869185,
-0.023542508482933044,
-0.10371562093496323,
0.06396537274122238,
-0.04395218566060066,
0.08792468160390854,
0.029672151431441307,
-0.014057784341275692,
-0.03302241489291191,
0.034589335322380066,
-0.041526202112436295,
0.054274782538414,
0.02866903319954872,
-0.033696990460157394,
0.07055190205574036,
-0.10354222357273102,
-0.01473144255578518,
0.007516015321016312,
-0.009296252392232418,
0.03057181090116501,
-0.031979821622371674,
0.015714189037680626,
0.030221467837691307,
-0.036202214658260345,
0.11023575812578201,
-0.01069230679422617,
-0.014490652829408646,
0.014272244647145271,
-0.15827123820781708,
-0.06587426364421844,
-0.02099481411278248,
-0.008442721329629421,
-0.0065186163410544395,
0.042001403868198395,
0.032689861953258514,
0.05090756714344025,
0.01880831830203533,
0.1042674109339714,
0.08804221451282501,
0.04176245257258415,
0.055374473333358765,
0.004545636009424925,
0.054445356130599976,
0.0227953027933836,
0.01958121545612812,
-0.12464594095945358,
-0.10557349771261215,
-0.03067648783326149,
0.005934298038482666,
-0.07719167321920395,
0.0004160612297710031,
-0.049515023827552795,
0.08356185257434845,
-0.0007802883628755808,
-0.06966532766819,
-0.06249339133501053,
-4.498787475881727e-8,
0.016999999061226845,
0.022489184513688087,
-0.0007614652276970446,
-0.0248317401856184,
-0.0013790704542770982,
0.0063462043181061745,
-0.05508218705654144,
0.07040837407112122,
-0.08374075591564178,
0.011686044745147228,
0.05129822716116905,
0.10692743211984634,
0.0393286868929863,
0.05532586947083473,
-0.03809167817234993,
0.052187226712703705,
-0.00896302331238985,
-0.01882019266486168,
-0.07870215177536011,
-0.005158278159797192,
-0.07338134944438934,
0.08298389613628387,
-0.02022930234670639,
-0.03148292005062103,
0.014168189838528633,
0.0982932448387146,
0.006720585748553276,
0.06949508935213089,
0.08394811302423477,
0.0014823278179392219,
-0.0809725821018219,
0.03319847583770752,
-0.03724060580134392,
-0.01327567733824253,
0.11018454283475876,
0.0001897211477626115,
-0.03515263646841049,
-0.011260311119258404,
0.04990663006901741,
-0.011423507705330849,
-0.0202694870531559,
-0.011725797317922115,
-0.08956471085548401,
-0.01115038525313139,
0.108918696641922,
-0.007455505896359682,
-0.07014024257659912,
0.02977779693901539,
-0.00836124736815691,
0.008345012553036213,
0.010978409089148045,
-0.009821949526667595,
-0.01734486222267151,
-0.009021998383104801,
-0.010411195456981659,
-0.11710766702890396,
-0.05475415289402008,
-0.020391497761011124,
-0.005417556036263704,
0.062505342066288,
0.05441642180085182,
0.02888229303061962,
-0.041529301553964615,
0.04240042716264725
] |
1401.8032
|
Kirsty Hannam
|
Kirsty Hannam, David A. Powell, Ilya V. Shadrivov and Yuri S. Kivshar
|
Broadband chiral metamaterials with large optical activity
|
6 pages, 7 figures, submitted to Phys. Rev. B
| null |
10.1103/PhysRevB.89.125105
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study theoretically and experimentally a novel type of metamaterial with
hybrid elements composed of twisted pairs of cross-shaped meta-atoms and their
complements. We reveal that such two-layer metasurfaces demonstrate large,
dispersionless optical activity at the transmission resonance accompanied by
very low ellipticity. We develop a retrieval procedure to determine the
effective material parameters for this structure, which has lower-order
symmetry ($\mathrm {C}_4$) than other commonly studied chiral structures. We
verify our new theoretical approach by reproducing numerical and experimental
scattering parameters.
|
[
{
"created": "Thu, 30 Jan 2014 23:59:28 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Hannam",
"Kirsty",
""
],
[
"Powell",
"David A.",
""
],
[
"Shadrivov",
"Ilya V.",
""
],
[
"Kivshar",
"Yuri S.",
""
]
] |
[
0.04946751147508621,
-0.026538889855146408,
0.05094775930047035,
-0.036589886993169785,
0.028186220675706863,
-0.014158383011817932,
-0.00943072885274887,
0.08951039612293243,
-0.07016430795192719,
0.046977698802948,
0.04558921605348587,
0.015588603913784027,
-0.0916515663266182,
-0.005060205701738596,
0.08882464468479156,
-0.004057448823004961,
-0.005590357352048159,
-0.06487196683883667,
-0.015352001413702965,
0.11726667732000351,
-0.03961976617574692,
-0.0995769202709198,
0.042425721883773804,
-0.04459067061543465,
-0.022281451150774956,
0.07389520853757858,
-0.03942324221134186,
-0.049860574305057526,
0.018388014286756516,
-0.03133909031748772,
0.09732981026172638,
0.009764048270881176,
-0.15510152280330658,
0.03287862241268158,
-0.0634608119726181,
-0.05984090268611908,
0.04417484998703003,
0.02178155817091465,
0.0072950334288179874,
0.0036106628831475973,
-0.01761659048497677,
0.04599636420607567,
-0.009498700499534607,
-0.0028334588278084993,
-0.04463313892483711,
-0.026323625817894936,
-0.006605696864426136,
-0.017329292371869087,
0.037540800869464874,
-0.03592690825462341,
-0.008977326564490795,
0.07231520861387253,
-0.04787648469209671,
0.12244432419538498,
0.0145559785887599,
0.09506761282682419,
-0.032904624938964844,
-0.07307092100381851,
0.016046376898884773,
0.021602733060717583,
0.048347506672143936,
-0.1024579256772995,
0.008719921112060547,
-0.03234351426362991,
0.02211846597492695,
0.08508329093456268,
-0.08074382692575455,
-0.03322839364409447,
-0.0164693184196949,
-0.016891630366444588,
0.01859729178249836,
0.031804461032152176,
-0.0745742991566658,
0.009223517030477524,
0.06875701993703842,
0.08381450921297073,
0.006565591786056757,
0.03113194927573204,
0.005484444554895163,
-0.03304165601730347,
-0.05109599232673645,
-0.02350834757089615,
-0.04125015810132027,
0.04577239230275154,
-0.012985548004508018,
-0.03635531663894653,
-0.061301570385694504,
-0.04553397744894028,
-0.06263133138418198,
-0.06279207766056061,
0.01882278174161911,
0.0584401935338974,
-0.056260522454977036,
-0.09223081916570663,
-0.022104427218437195,
0.019014855846762657,
0.015332765877246857,
-0.06409873813390732,
0.008101960644125938,
0.07867292314767838,
0.11262637376785278,
0.033530451357364655,
-0.019642850384116173,
0.06196208298206329,
-0.014212114736437798,
-0.003786364570260048,
0.03612995520234108,
0.038958389312028885,
-0.1429777294397354,
-0.023517118766903877,
0.0730895847082138,
0.04232214391231537,
-0.0076132649555802345,
-0.10742739588022232,
-0.061744142323732376,
0.04414077475667,
-0.03484877571463585,
0.028192786499857903,
0.040894560515880585,
0.06431463360786438,
-0.004615721292793751,
0.08920980989933014,
-0.01257948949933052,
0.05722848325967789,
0.04725207760930061,
-0.0005657502915710211,
-0.06383384019136429,
-7.021082657377594e-34,
0.025329021736979485,
0.1291857659816742,
0.06774155795574188,
0.013298965990543365,
0.01615603081882,
-0.07052594423294067,
0.06384765356779099,
-0.006657183635979891,
-0.04040335491299629,
0.005524614825844765,
-0.07947681099176407,
0.00662967236712575,
-0.031508903950452805,
-0.04440896213054657,
-0.016734959557652473,
0.017820637673139572,
0.024556469172239304,
0.00884360633790493,
-0.012402933090925217,
0.015384054742753506,
0.04286476597189903,
0.004830953199416399,
0.04606422036886215,
0.02708517014980316,
-0.01962348073720932,
-0.036160171031951904,
-0.02893427386879921,
-0.021298641338944435,
0.04489320516586304,
0.027647292241454124,
0.030683442950248718,
0.04293784499168396,
0.09740254282951355,
0.05696563795208931,
0.05135563760995865,
0.021535897627472878,
-0.09131311625242233,
0.0025872159749269485,
0.024476950988173485,
0.0018563327612355351,
0.06245996803045273,
0.00273511023260653,
0.06188655644655228,
-0.013670988380908966,
-0.007131687831133604,
-0.046351999044418335,
0.004347158595919609,
-0.020356975495815277,
0.03090602345764637,
-0.03588053956627846,
0.006954830605536699,
-0.04030987620353699,
-0.021710872650146484,
0.0009052280802279711,
0.031382158398628235,
0.022815944626927376,
0.021910151466727257,
0.05461537837982178,
-0.014408677816390991,
-0.08518502116203308,
0.07642999291419983,
-0.026230547577142715,
-0.05427735298871994,
0.03900756686925888,
0.0030088890343904495,
0.004130896180868149,
0.011572962626814842,
-0.01237690169364214,
-0.007669277023524046,
-0.03287491947412491,
-0.028837842866778374,
0.10215990990400314,
-0.00943746231496334,
-0.012676776386797428,
0.04125698283314705,
-0.0077310907654464245,
-0.02110004797577858,
-0.1129768118262291,
0.10615862905979156,
0.03717205300927162,
-0.09504194557666779,
0.08600161969661713,
-0.07645200192928314,
0.005969754885882139,
-0.024515096098184586,
0.03883456438779831,
-0.009728366509079933,
-0.049511753022670746,
0.007765947841107845,
-0.026010407134890556,
0.021697232499718666,
-0.006050996016710997,
0.03691082075238228,
-0.06467454135417938,
-0.017608163878321648,
-4.436254150220887e-34,
-0.06792919337749481,
-0.02204582653939724,
0.04408279061317444,
-0.007148553617298603,
0.035670436918735504,
0.018854960799217224,
0.039354246109724045,
0.059396930038928986,
-0.049822721630334854,
0.06703042984008789,
0.1025475487112999,
0.04470476135611534,
-0.01907484605908394,
-0.1032874584197998,
-0.07976651936769485,
0.05436215177178383,
0.10177964717149734,
-0.0337020680308342,
0.0982806533575058,
0.010352225042879581,
-0.03728821873664856,
0.009058758616447449,
0.02778954990208149,
0.026355916634202003,
-0.01268700696527958,
-0.012987409718334675,
0.09190846979618073,
-0.05406070873141289,
0.07183395326137543,
-0.006147494073957205,
0.016357146203517914,
0.05737144500017166,
-0.0014880943344905972,
-0.020567523315548897,
-0.03510065749287605,
0.08695622533559799,
-0.06507294625043869,
-0.012059423141181469,
0.0025732603389769793,
0.04605724662542343,
-0.06518188863992691,
-0.026397544890642166,
0.023432966321706772,
0.010906537994742393,
-0.016072049736976624,
-0.05971329286694527,
-0.08129466325044632,
-0.025732820853590965,
-0.04607152193784714,
-0.07963133603334427,
0.0042310175485908985,
-0.04556884989142418,
-0.015401764772832394,
-0.046605002135038376,
0.013386145234107971,
0.0291663259267807,
-0.04273836687207222,
-0.02010303921997547,
0.03505681827664375,
0.07431145757436752,
0.02440284937620163,
-0.00894923135638237,
-0.00020950104226358235,
-0.054930511862039566,
0.012030567042529583,
0.08984347432851791,
-0.03542788326740265,
-0.12171954661607742,
-0.04939964786171913,
0.010225793346762657,
0.035797540098428726,
0.03476644307374954,
-0.017736615613102913,
-0.04048625007271767,
0.14511606097221375,
0.05233681946992874,
0.005200003739446402,
0.009779469110071659,
-0.05410628020763397,
0.05860802158713341,
0.033850617706775665,
0.048008810728788376,
-0.044006578624248505,
-0.05915622040629387,
0.004150812514126301,
-0.05865926295518875,
-0.06479329615831375,
0.11675423383712769,
-0.09180080890655518,
0.036187298595905304,
0.02111235074698925,
-0.021009434014558792,
0.08178795874118805,
0.007314607966691256,
0.057023465633392334,
-3.8645129762926445e-8,
0.0408351831138134,
-0.009477094747126102,
0.009440549649298191,
-0.034245461225509644,
-0.047565311193466187,
0.026177870109677315,
-0.016775120049715042,
-0.1264873594045639,
-0.010165630839765072,
-0.05285508930683136,
0.013203294947743416,
-0.01953568123281002,
-0.009570380672812462,
0.04451693966984749,
0.022014210000634193,
0.02446640469133854,
0.020289383828639984,
-0.012951276265084743,
-0.07569784671068192,
-0.003853623755276203,
-0.0675114169716835,
0.06906262040138245,
0.05023122578859329,
-0.11037828773260117,
0.007725757081061602,
0.02635420486330986,
-0.014501912519335747,
-0.037676528096199036,
-0.005570463370531797,
0.08452000468969345,
0.04309166222810745,
-0.0024719659704715014,
-0.03520733490586281,
0.0009732813341543078,
-0.08803602308034897,
0.001263011828996241,
-0.054907165467739105,
-0.001180861028842628,
-0.09276847541332245,
-0.048377856612205505,
0.1095464825630188,
0.07560525834560394,
-0.05246523767709732,
0.028954142704606056,
0.04827488213777542,
0.07057582587003708,
-0.04587853327393532,
0.08253567665815353,
-0.04588470235466957,
0.04582659900188446,
-0.022765720263123512,
-0.06814878433942795,
-0.03655428811907768,
0.04672841727733612,
-0.04751313477754593,
0.006358536891639233,
-0.02310958132147789,
0.0050171674229204655,
-0.04553326219320297,
-0.11092478036880493,
0.016020137816667557,
-0.022583672776818275,
-0.015924634411931038,
0.045354072004556656
] | null | null | null | null | null | null | null |
[
0.04946751147508621,
-0.026538889855146408,
0.05094775930047035,
-0.036589886993169785,
0.028186220675706863,
-0.014158383011817932,
-0.00943072885274887,
0.08951039612293243,
-0.07016430795192719,
0.046977698802948,
0.04558921605348587,
0.015588603913784027,
-0.0916515663266182,
-0.005060205701738596,
0.08882464468479156,
-0.004057448823004961,
-0.005590357352048159,
-0.06487196683883667,
-0.015352001413702965,
0.11726667732000351,
-0.03961976617574692,
-0.0995769202709198,
0.042425721883773804,
-0.04459067061543465,
-0.022281451150774956,
0.07389520853757858,
-0.03942324221134186,
-0.049860574305057526,
0.018388014286756516,
-0.03133909031748772,
0.09732981026172638,
0.009764048270881176,
-0.15510152280330658,
0.03287862241268158,
-0.0634608119726181,
-0.05984090268611908,
0.04417484998703003,
0.02178155817091465,
0.0072950334288179874,
0.0036106628831475973,
-0.01761659048497677,
0.04599636420607567,
-0.009498700499534607,
-0.0028334588278084993,
-0.04463313892483711,
-0.026323625817894936,
-0.006605696864426136,
-0.017329292371869087,
0.037540800869464874,
-0.03592690825462341,
-0.008977326564490795,
0.07231520861387253,
-0.04787648469209671,
0.12244432419538498,
0.0145559785887599,
0.09506761282682419,
-0.032904624938964844,
-0.07307092100381851,
0.016046376898884773,
0.021602733060717583,
0.048347506672143936,
-0.1024579256772995,
0.008719921112060547,
-0.03234351426362991,
0.02211846597492695,
0.08508329093456268,
-0.08074382692575455,
-0.03322839364409447,
-0.0164693184196949,
-0.016891630366444588,
0.01859729178249836,
0.031804461032152176,
-0.0745742991566658,
0.009223517030477524,
0.06875701993703842,
0.08381450921297073,
0.006565591786056757,
0.03113194927573204,
0.005484444554895163,
-0.03304165601730347,
-0.05109599232673645,
-0.02350834757089615,
-0.04125015810132027,
0.04577239230275154,
-0.012985548004508018,
-0.03635531663894653,
-0.061301570385694504,
-0.04553397744894028,
-0.06263133138418198,
-0.06279207766056061,
0.01882278174161911,
0.0584401935338974,
-0.056260522454977036,
-0.09223081916570663,
-0.022104427218437195,
0.019014855846762657,
0.015332765877246857,
-0.06409873813390732,
0.008101960644125938,
0.07867292314767838,
0.11262637376785278,
0.033530451357364655,
-0.019642850384116173,
0.06196208298206329,
-0.014212114736437798,
-0.003786364570260048,
0.03612995520234108,
0.038958389312028885,
-0.1429777294397354,
-0.023517118766903877,
0.0730895847082138,
0.04232214391231537,
-0.0076132649555802345,
-0.10742739588022232,
-0.061744142323732376,
0.04414077475667,
-0.03484877571463585,
0.028192786499857903,
0.040894560515880585,
0.06431463360786438,
-0.004615721292793751,
0.08920980989933014,
-0.01257948949933052,
0.05722848325967789,
0.04725207760930061,
-0.0005657502915710211,
-0.06383384019136429,
-7.021082657377594e-34,
0.025329021736979485,
0.1291857659816742,
0.06774155795574188,
0.013298965990543365,
0.01615603081882,
-0.07052594423294067,
0.06384765356779099,
-0.006657183635979891,
-0.04040335491299629,
0.005524614825844765,
-0.07947681099176407,
0.00662967236712575,
-0.031508903950452805,
-0.04440896213054657,
-0.016734959557652473,
0.017820637673139572,
0.024556469172239304,
0.00884360633790493,
-0.012402933090925217,
0.015384054742753506,
0.04286476597189903,
0.004830953199416399,
0.04606422036886215,
0.02708517014980316,
-0.01962348073720932,
-0.036160171031951904,
-0.02893427386879921,
-0.021298641338944435,
0.04489320516586304,
0.027647292241454124,
0.030683442950248718,
0.04293784499168396,
0.09740254282951355,
0.05696563795208931,
0.05135563760995865,
0.021535897627472878,
-0.09131311625242233,
0.0025872159749269485,
0.024476950988173485,
0.0018563327612355351,
0.06245996803045273,
0.00273511023260653,
0.06188655644655228,
-0.013670988380908966,
-0.007131687831133604,
-0.046351999044418335,
0.004347158595919609,
-0.020356975495815277,
0.03090602345764637,
-0.03588053956627846,
0.006954830605536699,
-0.04030987620353699,
-0.021710872650146484,
0.0009052280802279711,
0.031382158398628235,
0.022815944626927376,
0.021910151466727257,
0.05461537837982178,
-0.014408677816390991,
-0.08518502116203308,
0.07642999291419983,
-0.026230547577142715,
-0.05427735298871994,
0.03900756686925888,
0.0030088890343904495,
0.004130896180868149,
0.011572962626814842,
-0.01237690169364214,
-0.007669277023524046,
-0.03287491947412491,
-0.028837842866778374,
0.10215990990400314,
-0.00943746231496334,
-0.012676776386797428,
0.04125698283314705,
-0.0077310907654464245,
-0.02110004797577858,
-0.1129768118262291,
0.10615862905979156,
0.03717205300927162,
-0.09504194557666779,
0.08600161969661713,
-0.07645200192928314,
0.005969754885882139,
-0.024515096098184586,
0.03883456438779831,
-0.009728366509079933,
-0.049511753022670746,
0.007765947841107845,
-0.026010407134890556,
0.021697232499718666,
-0.006050996016710997,
0.03691082075238228,
-0.06467454135417938,
-0.017608163878321648,
-4.436254150220887e-34,
-0.06792919337749481,
-0.02204582653939724,
0.04408279061317444,
-0.007148553617298603,
0.035670436918735504,
0.018854960799217224,
0.039354246109724045,
0.059396930038928986,
-0.049822721630334854,
0.06703042984008789,
0.1025475487112999,
0.04470476135611534,
-0.01907484605908394,
-0.1032874584197998,
-0.07976651936769485,
0.05436215177178383,
0.10177964717149734,
-0.0337020680308342,
0.0982806533575058,
0.010352225042879581,
-0.03728821873664856,
0.009058758616447449,
0.02778954990208149,
0.026355916634202003,
-0.01268700696527958,
-0.012987409718334675,
0.09190846979618073,
-0.05406070873141289,
0.07183395326137543,
-0.006147494073957205,
0.016357146203517914,
0.05737144500017166,
-0.0014880943344905972,
-0.020567523315548897,
-0.03510065749287605,
0.08695622533559799,
-0.06507294625043869,
-0.012059423141181469,
0.0025732603389769793,
0.04605724662542343,
-0.06518188863992691,
-0.026397544890642166,
0.023432966321706772,
0.010906537994742393,
-0.016072049736976624,
-0.05971329286694527,
-0.08129466325044632,
-0.025732820853590965,
-0.04607152193784714,
-0.07963133603334427,
0.0042310175485908985,
-0.04556884989142418,
-0.015401764772832394,
-0.046605002135038376,
0.013386145234107971,
0.0291663259267807,
-0.04273836687207222,
-0.02010303921997547,
0.03505681827664375,
0.07431145757436752,
0.02440284937620163,
-0.00894923135638237,
-0.00020950104226358235,
-0.054930511862039566,
0.012030567042529583,
0.08984347432851791,
-0.03542788326740265,
-0.12171954661607742,
-0.04939964786171913,
0.010225793346762657,
0.035797540098428726,
0.03476644307374954,
-0.017736615613102913,
-0.04048625007271767,
0.14511606097221375,
0.05233681946992874,
0.005200003739446402,
0.009779469110071659,
-0.05410628020763397,
0.05860802158713341,
0.033850617706775665,
0.048008810728788376,
-0.044006578624248505,
-0.05915622040629387,
0.004150812514126301,
-0.05865926295518875,
-0.06479329615831375,
0.11675423383712769,
-0.09180080890655518,
0.036187298595905304,
0.02111235074698925,
-0.021009434014558792,
0.08178795874118805,
0.007314607966691256,
0.057023465633392334,
-3.8645129762926445e-8,
0.0408351831138134,
-0.009477094747126102,
0.009440549649298191,
-0.034245461225509644,
-0.047565311193466187,
0.026177870109677315,
-0.016775120049715042,
-0.1264873594045639,
-0.010165630839765072,
-0.05285508930683136,
0.013203294947743416,
-0.01953568123281002,
-0.009570380672812462,
0.04451693966984749,
0.022014210000634193,
0.02446640469133854,
0.020289383828639984,
-0.012951276265084743,
-0.07569784671068192,
-0.003853623755276203,
-0.0675114169716835,
0.06906262040138245,
0.05023122578859329,
-0.11037828773260117,
0.007725757081061602,
0.02635420486330986,
-0.014501912519335747,
-0.037676528096199036,
-0.005570463370531797,
0.08452000468969345,
0.04309166222810745,
-0.0024719659704715014,
-0.03520733490586281,
0.0009732813341543078,
-0.08803602308034897,
0.001263011828996241,
-0.054907165467739105,
-0.001180861028842628,
-0.09276847541332245,
-0.048377856612205505,
0.1095464825630188,
0.07560525834560394,
-0.05246523767709732,
0.028954142704606056,
0.04827488213777542,
0.07057582587003708,
-0.04587853327393532,
0.08253567665815353,
-0.04588470235466957,
0.04582659900188446,
-0.022765720263123512,
-0.06814878433942795,
-0.03655428811907768,
0.04672841727733612,
-0.04751313477754593,
0.006358536891639233,
-0.02310958132147789,
0.0050171674229204655,
-0.04553326219320297,
-0.11092478036880493,
0.016020137816667557,
-0.022583672776818275,
-0.015924634411931038,
0.045354072004556656
] |
1401.8038
|
Sergei Chichin
|
Sergei Chichin, Quoc Bao Vo, Ryszard Kowalczyk
|
Truthful Market-based Trading of Cloud Resources with Reservation Price
|
10 pages, 18 figures
| null | null | null |
cs.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
With the rapidly growing demand for the cloud services, a need for efficient
methods to trade computing resources increases. Commonly used fixed-price model
is not always the best approach for trading cloud resources, because of its
inflexible and static nature. Dynamic trading systems, which make use of market
mechanisms, show promise for more efficient resource allocation and pricing in
the cloud. However, most of the existing mechanisms ignore the seller's costs
of providing the resources. In order to address it, we propose a single-sided
market mechanism for trading virtual machine instances in the cloud, where the
cloud provider can express the reservation prices for traded cloud services. We
investigate the theoretical properties of the proposed mechanism and prove that
it is truthful, i.e. the buyers do not have an incentive to lie about their
true valuation of the resources. We perform extensive experiments in order to
investigate the impact of the reserve price on the market outcome. Our
experiments show that the proposed mechanism yields near optimal allocations
and has a low execution time.
|
[
{
"created": "Fri, 31 Jan 2014 02:07:15 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Chichin",
"Sergei",
""
],
[
"Vo",
"Quoc Bao",
""
],
[
"Kowalczyk",
"Ryszard",
""
]
] |
[
-0.054348357021808624,
0.027666261419653893,
-0.0003938058507628739,
0.010835143737494946,
-0.004520370624959469,
0.03431427851319313,
0.018306802958250046,
-0.011317889206111431,
0.0787581130862236,
0.07862146943807602,
-0.03950519114732742,
-0.002427155151963234,
0.047731559723615646,
-0.010577118024230003,
0.053073983639478683,
-0.06451202929019928,
0.11326911300420761,
-0.010068112052977085,
-0.011163085699081421,
0.03415363281965256,
-0.05660548806190491,
0.0069685569033026695,
-0.06133730337023735,
0.010998663492500782,
0.022271042689681053,
-0.06108689680695534,
-0.05176793038845062,
-0.031097454950213432,
0.01220610085874796,
-0.030709782615303993,
-0.07293113321065903,
-0.03893909230828285,
-0.05663778632879257,
0.15251947939395905,
0.01925593428313732,
-0.018088748678565025,
-0.07580038905143738,
-0.05808676406741142,
-0.06246435269713402,
0.017364809289574623,
0.042682211846113205,
-0.04599708691239357,
-0.14584094285964966,
-0.007389850914478302,
0.029364364221692085,
0.031401410698890686,
0.098686084151268,
0.040654174983501434,
0.019006602466106415,
0.03130156174302101,
-0.015457220375537872,
-0.004148217849433422,
-0.026126839220523834,
0.01856992207467556,
-0.08543285727500916,
0.007561335805803537,
0.015137066133320332,
0.02489294297993183,
0.0671333447098732,
0.04557151719927788,
0.05141782760620117,
-0.06496685743331909,
-0.0031039402820169926,
0.02417365089058876,
0.05075672268867493,
-0.01061361562460661,
-0.0004214727086946368,
0.0650349110364914,
-0.08939556777477264,
-0.048985421657562256,
0.05655376613140106,
0.0028892369009554386,
-0.08765194565057755,
-0.028141750022768974,
-0.06992566585540771,
-0.047442492097616196,
0.01815730147063732,
-0.006012032739818096,
0.044192470610141754,
0.053101349622011185,
-0.06046835333108902,
0.002736646682024002,
-0.05280528590083122,
0.04069261625409126,
-0.05696047469973564,
-0.042193830013275146,
0.07857219874858856,
0.0010051759891211987,
0.12683376669883728,
-0.05127423629164696,
0.05201983079314232,
0.028751660138368607,
0.007353764493018389,
0.017184611409902573,
0.03504830226302147,
0.02535938285291195,
0.03025485947728157,
-0.013433759100735188,
0.03818812593817711,
0.012388452887535095,
0.03518680855631828,
0.01561866607517004,
0.005766129586845636,
-0.03402882069349289,
0.03504011780023575,
-0.010802156291902065,
-0.03641970083117485,
-0.007134295534342527,
0.014833125285804272,
-0.016861367970705032,
-0.07846003770828247,
-0.0020290985703468323,
-0.03478198125958443,
0.004892864730209112,
-0.05844288319349289,
0.07430858165025711,
-0.005659834947437048,
-0.032961636781692505,
-0.06812885403633118,
-0.0014252058463171124,
0.025829656049609184,
-0.053722452372312546,
0.07968287169933319,
-0.028517762199044228,
-0.03912628814578056,
0.0060839275829494,
-0.0700703039765358,
-7.456640966910676e-34,
-0.08179637044668198,
-0.03843974322080612,
0.021988993510603905,
-0.12470565736293793,
0.0606907419860363,
-0.03663547337055206,
0.02553827501833439,
0.03614267334342003,
-0.14569130539894104,
0.03919900208711624,
-0.03914123773574829,
0.10242359340190887,
-0.003991236444562674,
0.06185615807771683,
0.08270835131406784,
-0.044872965663671494,
0.043077509850263596,
0.038364965468645096,
0.1747116595506668,
-0.04326030984520912,
0.03366232290863991,
0.013338527642190456,
0.010882722213864326,
-0.03592514619231224,
-0.04963298514485359,
-0.01809047907590866,
-0.001358860288746655,
-0.04159361496567726,
0.17456533014774323,
0.004555693827569485,
-0.0019122347002848983,
0.0015881620347499847,
0.03072706237435341,
-0.006974050309509039,
-0.04590539261698723,
0.026205919682979584,
-0.06300181150436401,
-0.004253741353750229,
0.030955428257584572,
0.02811438776552677,
-0.01128083560615778,
0.07215862721204758,
-0.043797265738248825,
-0.04219821095466614,
-0.049183133989572525,
0.04658015817403793,
-0.030180759727954865,
-0.0703434869647026,
-0.030927447602152824,
0.02719101309776306,
0.016680393368005753,
0.050905462354421616,
0.01942487061023712,
-0.038656674325466156,
-0.016002777963876724,
-0.04239925742149353,
-0.011359409429132938,
-0.009751751087605953,
-0.0324825793504715,
0.06834159046411514,
-0.08220633119344711,
-0.06889524310827255,
0.004198115319013596,
0.022915638983249664,
-0.1416293829679489,
-0.02907007746398449,
-0.006994679570198059,
-0.032527003437280655,
-0.05047585815191269,
-0.0006871892837807536,
0.030519165098667145,
-0.015696384012699127,
0.026460453867912292,
-0.029561463743448257,
0.0002508237084839493,
-0.03558317571878433,
0.020461801439523697,
0.043578244745731354,
-0.010285681113600731,
-0.05496102571487427,
0.01811501756310463,
-0.025783197954297066,
0.04576922208070755,
0.06893586367368698,
-0.08139532059431076,
-0.0718255266547203,
-0.049983516335487366,
-0.002771640894934535,
-0.0030328999273478985,
-0.006962804589420557,
-0.06069396808743477,
-0.014681853353977203,
0.001270826323889196,
-0.03728339076042175,
0.05800981819629669,
-4.225754336057309e-34,
-0.0313761904835701,
-0.054301925003528595,
-0.08753345906734467,
0.10713233798742294,
-0.00028666568687185645,
0.01812761090695858,
-0.03957781940698624,
-0.03365326300263405,
0.006086456589400768,
0.0498453825712204,
-0.08395199477672577,
0.03887413442134857,
0.015988465398550034,
0.07906907051801682,
-0.06233985722064972,
-0.04353779926896095,
-0.04218727722764015,
-0.03918550908565521,
0.021349875256419182,
0.017611227929592133,
-0.06796732544898987,
0.04930901154875755,
0.028121091425418854,
0.007513122167438269,
0.06298859417438507,
0.0793522447347641,
-0.08531472831964493,
0.03518764674663544,
0.010934991762042046,
-0.019182508811354637,
-0.06324891000986099,
-0.06100032478570938,
-0.007756960112601519,
-0.08141709119081497,
0.015833524987101555,
0.03439600020647049,
0.03316396847367287,
0.10794377326965332,
0.013519098050892353,
0.07182782888412476,
0.041191644966602325,
-0.11992929130792618,
0.05882561579346657,
-0.04291575402021408,
0.03382779285311699,
-0.009694777429103851,
-0.007575066294521093,
0.026615269482135773,
0.08150993287563324,
-0.04089910909533501,
0.03207974508404732,
0.08045846968889236,
0.007441510912030935,
0.041089899837970734,
-0.05466786026954651,
-0.027885353192687035,
-0.03164134547114372,
0.08245013654232025,
-0.01713920570909977,
-0.003043185453861952,
0.00878074113279581,
-0.0037325567100197077,
0.007367078214883804,
0.029579373076558113,
0.037260230630636215,
0.00929836556315422,
0.03418831527233124,
-0.10971656441688538,
0.00416245823726058,
-0.06461311131715775,
0.028607191517949104,
-0.03285028785467148,
-0.01003196183592081,
-0.011483892798423767,
-0.01130633894354105,
0.11294221132993698,
0.012929676100611687,
-0.05579712241888046,
0.06548107415437698,
0.02282150276005268,
-0.05165283754467964,
0.095945805311203,
0.06957604736089706,
-0.05819515883922577,
-0.0164179764688015,
-0.07656382024288177,
0.019468529149889946,
-0.005814273841679096,
-0.07386606186628342,
0.053189169615507126,
-0.07586720585823059,
-0.0672670379281044,
0.015681192278862,
0.05143851414322853,
-0.09151341021060944,
-4.29321573847119e-8,
0.009703378193080425,
-0.0008018427761271596,
0.0988825187087059,
0.07564783841371536,
-0.023132875561714172,
0.02538316324353218,
0.10510292649269104,
0.027203230187296867,
0.006847955286502838,
0.07219487428665161,
0.021069558337330818,
-0.034220073372125626,
-0.035881176590919495,
0.00909506157040596,
-0.032492898404598236,
0.09332352131605148,
0.009373539127409458,
-0.023736977949738503,
-0.030512241646647453,
-0.01780935376882553,
0.006353309378027916,
0.10295427590608597,
0.05241725221276283,
-0.021453678607940674,
0.04365909844636917,
0.045538280159235,
0.08809356391429901,
0.05874122306704521,
0.0018058250425383449,
0.0681988075375557,
-0.05652887374162674,
-0.03719978779554367,
0.03804020211100578,
-0.004824220202863216,
0.014415492303669453,
-0.011910531669855118,
-0.12760277092456818,
-0.000006433449016185477,
-0.00800155196338892,
-0.011471188627183437,
-0.037017323076725006,
0.0577700175344944,
-0.025148743763566017,
-0.03411853685975075,
0.12120358645915985,
0.026682859286665916,
-0.05887000262737274,
-0.025261452421545982,
0.06320001184940338,
-0.026044467464089394,
-0.014843739569187164,
-0.024461589753627777,
0.03619285300374031,
0.07517995685338974,
0.018473511561751366,
0.015815680846571922,
0.0035582089331001043,
-0.04293175786733627,
0.06502636522054672,
0.04382263496518135,
-0.024303283542394638,
-0.028145648539066315,
-0.06507193297147751,
0.0077445367351174355
] | null | null | null | null | null | null | null |
[
-0.054348357021808624,
0.027666261419653893,
-0.0003938058507628739,
0.010835143737494946,
-0.004520370624959469,
0.03431427851319313,
0.018306802958250046,
-0.011317889206111431,
0.0787581130862236,
0.07862146943807602,
-0.03950519114732742,
-0.002427155151963234,
0.047731559723615646,
-0.010577118024230003,
0.053073983639478683,
-0.06451202929019928,
0.11326911300420761,
-0.010068112052977085,
-0.011163085699081421,
0.03415363281965256,
-0.05660548806190491,
0.0069685569033026695,
-0.06133730337023735,
0.010998663492500782,
0.022271042689681053,
-0.06108689680695534,
-0.05176793038845062,
-0.031097454950213432,
0.01220610085874796,
-0.030709782615303993,
-0.07293113321065903,
-0.03893909230828285,
-0.05663778632879257,
0.15251947939395905,
0.01925593428313732,
-0.018088748678565025,
-0.07580038905143738,
-0.05808676406741142,
-0.06246435269713402,
0.017364809289574623,
0.042682211846113205,
-0.04599708691239357,
-0.14584094285964966,
-0.007389850914478302,
0.029364364221692085,
0.031401410698890686,
0.098686084151268,
0.040654174983501434,
0.019006602466106415,
0.03130156174302101,
-0.015457220375537872,
-0.004148217849433422,
-0.026126839220523834,
0.01856992207467556,
-0.08543285727500916,
0.007561335805803537,
0.015137066133320332,
0.02489294297993183,
0.0671333447098732,
0.04557151719927788,
0.05141782760620117,
-0.06496685743331909,
-0.0031039402820169926,
0.02417365089058876,
0.05075672268867493,
-0.01061361562460661,
-0.0004214727086946368,
0.0650349110364914,
-0.08939556777477264,
-0.048985421657562256,
0.05655376613140106,
0.0028892369009554386,
-0.08765194565057755,
-0.028141750022768974,
-0.06992566585540771,
-0.047442492097616196,
0.01815730147063732,
-0.006012032739818096,
0.044192470610141754,
0.053101349622011185,
-0.06046835333108902,
0.002736646682024002,
-0.05280528590083122,
0.04069261625409126,
-0.05696047469973564,
-0.042193830013275146,
0.07857219874858856,
0.0010051759891211987,
0.12683376669883728,
-0.05127423629164696,
0.05201983079314232,
0.028751660138368607,
0.007353764493018389,
0.017184611409902573,
0.03504830226302147,
0.02535938285291195,
0.03025485947728157,
-0.013433759100735188,
0.03818812593817711,
0.012388452887535095,
0.03518680855631828,
0.01561866607517004,
0.005766129586845636,
-0.03402882069349289,
0.03504011780023575,
-0.010802156291902065,
-0.03641970083117485,
-0.007134295534342527,
0.014833125285804272,
-0.016861367970705032,
-0.07846003770828247,
-0.0020290985703468323,
-0.03478198125958443,
0.004892864730209112,
-0.05844288319349289,
0.07430858165025711,
-0.005659834947437048,
-0.032961636781692505,
-0.06812885403633118,
-0.0014252058463171124,
0.025829656049609184,
-0.053722452372312546,
0.07968287169933319,
-0.028517762199044228,
-0.03912628814578056,
0.0060839275829494,
-0.0700703039765358,
-7.456640966910676e-34,
-0.08179637044668198,
-0.03843974322080612,
0.021988993510603905,
-0.12470565736293793,
0.0606907419860363,
-0.03663547337055206,
0.02553827501833439,
0.03614267334342003,
-0.14569130539894104,
0.03919900208711624,
-0.03914123773574829,
0.10242359340190887,
-0.003991236444562674,
0.06185615807771683,
0.08270835131406784,
-0.044872965663671494,
0.043077509850263596,
0.038364965468645096,
0.1747116595506668,
-0.04326030984520912,
0.03366232290863991,
0.013338527642190456,
0.010882722213864326,
-0.03592514619231224,
-0.04963298514485359,
-0.01809047907590866,
-0.001358860288746655,
-0.04159361496567726,
0.17456533014774323,
0.004555693827569485,
-0.0019122347002848983,
0.0015881620347499847,
0.03072706237435341,
-0.006974050309509039,
-0.04590539261698723,
0.026205919682979584,
-0.06300181150436401,
-0.004253741353750229,
0.030955428257584572,
0.02811438776552677,
-0.01128083560615778,
0.07215862721204758,
-0.043797265738248825,
-0.04219821095466614,
-0.049183133989572525,
0.04658015817403793,
-0.030180759727954865,
-0.0703434869647026,
-0.030927447602152824,
0.02719101309776306,
0.016680393368005753,
0.050905462354421616,
0.01942487061023712,
-0.038656674325466156,
-0.016002777963876724,
-0.04239925742149353,
-0.011359409429132938,
-0.009751751087605953,
-0.0324825793504715,
0.06834159046411514,
-0.08220633119344711,
-0.06889524310827255,
0.004198115319013596,
0.022915638983249664,
-0.1416293829679489,
-0.02907007746398449,
-0.006994679570198059,
-0.032527003437280655,
-0.05047585815191269,
-0.0006871892837807536,
0.030519165098667145,
-0.015696384012699127,
0.026460453867912292,
-0.029561463743448257,
0.0002508237084839493,
-0.03558317571878433,
0.020461801439523697,
0.043578244745731354,
-0.010285681113600731,
-0.05496102571487427,
0.01811501756310463,
-0.025783197954297066,
0.04576922208070755,
0.06893586367368698,
-0.08139532059431076,
-0.0718255266547203,
-0.049983516335487366,
-0.002771640894934535,
-0.0030328999273478985,
-0.006962804589420557,
-0.06069396808743477,
-0.014681853353977203,
0.001270826323889196,
-0.03728339076042175,
0.05800981819629669,
-4.225754336057309e-34,
-0.0313761904835701,
-0.054301925003528595,
-0.08753345906734467,
0.10713233798742294,
-0.00028666568687185645,
0.01812761090695858,
-0.03957781940698624,
-0.03365326300263405,
0.006086456589400768,
0.0498453825712204,
-0.08395199477672577,
0.03887413442134857,
0.015988465398550034,
0.07906907051801682,
-0.06233985722064972,
-0.04353779926896095,
-0.04218727722764015,
-0.03918550908565521,
0.021349875256419182,
0.017611227929592133,
-0.06796732544898987,
0.04930901154875755,
0.028121091425418854,
0.007513122167438269,
0.06298859417438507,
0.0793522447347641,
-0.08531472831964493,
0.03518764674663544,
0.010934991762042046,
-0.019182508811354637,
-0.06324891000986099,
-0.06100032478570938,
-0.007756960112601519,
-0.08141709119081497,
0.015833524987101555,
0.03439600020647049,
0.03316396847367287,
0.10794377326965332,
0.013519098050892353,
0.07182782888412476,
0.041191644966602325,
-0.11992929130792618,
0.05882561579346657,
-0.04291575402021408,
0.03382779285311699,
-0.009694777429103851,
-0.007575066294521093,
0.026615269482135773,
0.08150993287563324,
-0.04089910909533501,
0.03207974508404732,
0.08045846968889236,
0.007441510912030935,
0.041089899837970734,
-0.05466786026954651,
-0.027885353192687035,
-0.03164134547114372,
0.08245013654232025,
-0.01713920570909977,
-0.003043185453861952,
0.00878074113279581,
-0.0037325567100197077,
0.007367078214883804,
0.029579373076558113,
0.037260230630636215,
0.00929836556315422,
0.03418831527233124,
-0.10971656441688538,
0.00416245823726058,
-0.06461311131715775,
0.028607191517949104,
-0.03285028785467148,
-0.01003196183592081,
-0.011483892798423767,
-0.01130633894354105,
0.11294221132993698,
0.012929676100611687,
-0.05579712241888046,
0.06548107415437698,
0.02282150276005268,
-0.05165283754467964,
0.095945805311203,
0.06957604736089706,
-0.05819515883922577,
-0.0164179764688015,
-0.07656382024288177,
0.019468529149889946,
-0.005814273841679096,
-0.07386606186628342,
0.053189169615507126,
-0.07586720585823059,
-0.0672670379281044,
0.015681192278862,
0.05143851414322853,
-0.09151341021060944,
-4.29321573847119e-8,
0.009703378193080425,
-0.0008018427761271596,
0.0988825187087059,
0.07564783841371536,
-0.023132875561714172,
0.02538316324353218,
0.10510292649269104,
0.027203230187296867,
0.006847955286502838,
0.07219487428665161,
0.021069558337330818,
-0.034220073372125626,
-0.035881176590919495,
0.00909506157040596,
-0.032492898404598236,
0.09332352131605148,
0.009373539127409458,
-0.023736977949738503,
-0.030512241646647453,
-0.01780935376882553,
0.006353309378027916,
0.10295427590608597,
0.05241725221276283,
-0.021453678607940674,
0.04365909844636917,
0.045538280159235,
0.08809356391429901,
0.05874122306704521,
0.0018058250425383449,
0.0681988075375557,
-0.05652887374162674,
-0.03719978779554367,
0.03804020211100578,
-0.004824220202863216,
0.014415492303669453,
-0.011910531669855118,
-0.12760277092456818,
-0.000006433449016185477,
-0.00800155196338892,
-0.011471188627183437,
-0.037017323076725006,
0.0577700175344944,
-0.025148743763566017,
-0.03411853685975075,
0.12120358645915985,
0.026682859286665916,
-0.05887000262737274,
-0.025261452421545982,
0.06320001184940338,
-0.026044467464089394,
-0.014843739569187164,
-0.024461589753627777,
0.03619285300374031,
0.07517995685338974,
0.018473511561751366,
0.015815680846571922,
0.0035582089331001043,
-0.04293175786733627,
0.06502636522054672,
0.04382263496518135,
-0.024303283542394638,
-0.028145648539066315,
-0.06507193297147751,
0.0077445367351174355
] |
1401.8039
|
Shinji Okada
|
S. Okada, D. A. Bennett, W. B. Doriese, J. W. Fowler, K. D. Irwin, S.
Ishimoto, M. Sato, D. R. Schmidt, D. S. Swetz, H. Tatsuno, J. N. Ullom, S.
Yamada
|
High-resolution kaonic-atom x-ray spectroscopy with
transition-edge-sensor microcalorimeters
|
6 pages, 3 figures, Proceedings of 15th International Workshop on Low
Temperature Detectors (LTD-15, Pasadena, California, June 24-28, 2013), To be
published in a special issue of the Journal of Low Temperature Physics (JLTP)
| null |
10.1007/s10909-014-1137-1
| null |
physics.ins-det nucl-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We are preparing for an ultra-high resolution x-ray spectroscopy of kaonic
atoms using an x-ray spectrometer based on an array of superconducting
transition-edge-sensor microcalorimeters developed by NIST. The instrument has
excellent energy resolutions of 2 - 3 eV (FWHM) at 6 keV and a large collecting
area of about 20 mm^2. This will open new door to investigate kaon-nucleus
strong interaction and provide new accurate charged-kaon mass value.
|
[
{
"created": "Fri, 31 Jan 2014 02:16:00 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2014 00:57:26 GMT",
"version": "v2"
}
] |
2014-03-06
|
[
[
"Okada",
"S.",
""
],
[
"Bennett",
"D. A.",
""
],
[
"Doriese",
"W. B.",
""
],
[
"Fowler",
"J. W.",
""
],
[
"Irwin",
"K. D.",
""
],
[
"Ishimoto",
"S.",
""
],
[
"Sato",
"M.",
""
],
[
"Schmidt",
"D. R.",
""
],
[
"Swetz",
"D. S.",
""
],
[
"Tatsuno",
"H.",
""
],
[
"Ullom",
"J. N.",
""
],
[
"Yamada",
"S.",
""
]
] |
[
-0.07196212559938431,
-0.04069716855883598,
-0.10650316625833511,
0.029858026653528214,
0.04056636244058609,
-0.008043324574828148,
0.07608944177627563,
0.053722042590379715,
-0.051097530871629715,
0.06339767575263977,
0.06487265974283218,
-0.09838221967220306,
-0.06696125119924545,
0.07346967607736588,
0.0019757398404181004,
-0.030988693237304688,
0.0023264591582119465,
0.0039036604575812817,
0.010314816609025002,
0.07463975250720978,
0.0016936797183007002,
-0.013481070287525654,
0.04423000290989876,
-0.051142480224370956,
0.06067037582397461,
0.02610759809613228,
-0.03677474334836006,
-0.08662942796945572,
0.07295092940330505,
0.002138531534001231,
-0.02235432155430317,
0.01030596625059843,
0.033950261771678925,
0.006445897743105888,
0.14173753559589386,
0.0012443291489034891,
-0.004458207171410322,
0.01741850934922695,
-0.011858579702675343,
-0.0775718241930008,
0.06127164140343666,
0.0037624218966811895,
0.08759012818336487,
-0.04666585475206375,
-0.04545995220541954,
-0.01683281734585762,
0.011226407252252102,
-0.03187344968318939,
0.016438264399766922,
0.07827114313840866,
0.06530286371707916,
-0.021351955831050873,
0.04702961817383766,
-0.022409213706851006,
0.08079498261213303,
-0.00585927814245224,
-0.042120639234781265,
-0.01702241599559784,
0.0000619649508735165,
0.04449152201414108,
0.040016598999500275,
0.026198554784059525,
-0.00837654247879982,
0.030626149848103523,
0.032785460352897644,
0.03098750114440918,
-0.015287211164832115,
-0.014224858023226261,
-0.021501077339053154,
-0.021406352519989014,
0.02921890653669834,
-0.024284372106194496,
-0.0008335189195349813,
0.02048589661717415,
0.0455186627805233,
-0.0518183708190918,
0.0016526428516954184,
-0.026863129809498787,
0.034342918545007706,
-0.009969371370971203,
-0.03720273822546005,
-0.021669873967766762,
-0.04710946977138519,
-0.04763010889291763,
-0.04953828826546669,
-0.008496969938278198,
-0.0022188746370375156,
0.0009382245480082929,
-0.04913117364048958,
0.018387796357274055,
0.04166975989937782,
0.014446171000599861,
-0.04668864235281944,
-0.05376074090600014,
0.021438874304294586,
-0.0005478825187310576,
0.06546231359243393,
0.008020292036235332,
0.010983092710375786,
0.0025697643868625164,
0.09631898999214172,
0.08038122951984406,
0.0022060994524508715,
0.06480856239795685,
-0.059950489550828934,
-0.050028491765260696,
-0.01235887035727501,
0.041388947516679764,
-0.04671585187315941,
0.08261582255363464,
0.07655338197946548,
-0.03143739327788353,
-0.013084097765386105,
-0.03798039257526398,
0.07716469466686249,
-0.012410490773618221,
0.07709124684333801,
0.0457926020026207,
-0.03009345754981041,
-0.0009920725133270025,
-0.03576858341693878,
0.0032426202669739723,
-0.051808856427669525,
0.02692212350666523,
0.00019619041995611042,
0.028546201065182686,
-0.05673244222998619,
2.3026251906318998e-33,
-0.04364773631095886,
0.05264314264059067,
0.01666002906858921,
-0.06923574954271317,
-0.05015023797750473,
-0.12957656383514404,
-0.034233998507261276,
0.006771836429834366,
-0.07094535231590271,
0.0469546802341938,
-0.012133208103477955,
0.04709237813949585,
0.09985894709825516,
-0.05808580666780472,
-0.044377587735652924,
-0.012591632083058357,
-0.021233607083559036,
0.004966675769537687,
0.024118654429912567,
0.060900166630744934,
0.06743083894252777,
-0.041853852570056915,
0.043058961629867554,
0.06322184205055237,
-0.03226570412516594,
0.021734673529863358,
0.046688053756952286,
0.02543509751558304,
-0.04598859325051308,
-0.04231688752770424,
0.011798834428191185,
-0.021339893341064453,
-0.01485595665872097,
0.0756925567984581,
-0.05985270068049431,
0.002473720582202077,
-0.007430277764797211,
-0.0013872843701392412,
0.01775498501956463,
-0.07805022597312927,
0.04491414874792099,
-0.02271455153822899,
-0.022585727274417877,
-0.010311963967978954,
-0.008350071497261524,
-0.009550737217068672,
0.018733613193035126,
-0.06171872839331627,
0.04239730164408684,
-0.04790608584880829,
-0.0018253173911944032,
-0.08701343089342117,
-0.01155098620802164,
0.1101449504494667,
0.09851614385843277,
0.0733252689242363,
0.054726969450712204,
-0.009907614439725876,
0.057502176612615585,
-0.03837323188781738,
0.027767257764935493,
-0.08229488879442215,
-0.01228749193251133,
0.09883177280426025,
-0.06855157017707825,
0.052102621644735336,
-0.13417699933052063,
-0.032922156155109406,
-0.022658206522464752,
0.04480044171214104,
-0.09464109688997269,
0.01813143864274025,
0.1253015547990799,
-0.10764306038618088,
0.09273605048656464,
0.05560808628797531,
-0.06090152636170387,
0.03311556205153465,
-0.035317372530698776,
0.08105095475912094,
0.036897286772727966,
0.020884091034531593,
0.08531156182289124,
-0.02673288993537426,
-0.09320585429668427,
-0.007406499702483416,
-0.06171894818544388,
0.017129816114902496,
0.04905589297413826,
-0.009560576640069485,
0.04649786278605461,
-0.09471800923347473,
-0.014766269363462925,
-0.058833759278059006,
-0.10626105964183807,
-2.5771033052198962e-33,
0.06763588637113571,
0.008699889294803143,
0.07444355636835098,
0.029447367414832115,
0.019548626616597176,
-0.01696978509426117,
0.006250667851418257,
-0.01734728179872036,
0.007895681075751781,
-0.010206135921180248,
0.07787694036960602,
0.05916985124349594,
-0.03891896829009056,
-0.0734962448477745,
0.07171362638473511,
0.03513074293732643,
0.0741240456700325,
-0.029744967818260193,
0.09453313797712326,
0.010438961908221245,
0.010433804243803024,
0.03141463175415993,
-0.022109417244791985,
-0.0769093707203865,
-0.024791868403553963,
-0.02315812185406685,
0.060200270265340805,
-0.0718686655163765,
0.03328448906540871,
-0.0028928122483193874,
-0.09283462911844254,
-0.06785895675420761,
0.04676416516304016,
0.008691822178661823,
-0.034921906888484955,
-0.08380816876888275,
0.004893825855106115,
-0.0038508260622620583,
-0.08479044586420059,
0.021426213905215263,
0.05609965696930885,
0.18214431405067444,
-0.04988037794828415,
0.048557817935943604,
0.019286850467324257,
0.042562272399663925,
-0.013567330315709114,
-0.02819117158651352,
-0.02093851938843727,
-0.04131457209587097,
0.03729686513543129,
-0.015852972865104675,
-0.028297387063503265,
-0.028722412884235382,
-0.0587165467441082,
0.05315994843840599,
-0.0014751304406672716,
0.1390792429447174,
-0.03655540943145752,
0.016914676874876022,
-0.00744597427546978,
-0.1328047811985016,
0.013251197524368763,
-0.037759240716695786,
0.03047531470656395,
-0.048113010823726654,
-0.030415907502174377,
0.039536796510219574,
-0.010835175402462482,
-0.01946702040731907,
0.014961080625653267,
-0.047914162278175354,
0.030654102563858032,
0.016282401978969574,
0.017624547705054283,
-0.028328407555818558,
0.014749583788216114,
-0.02483312040567398,
0.09294434636831284,
-0.001981305656954646,
0.02825087681412697,
0.014367046765983105,
-0.014284757897257805,
0.009534421376883984,
0.13940580189228058,
0.06182033568620682,
-0.08034951984882355,
0.08163533359766006,
-0.00814637541770935,
-0.04132743552327156,
-0.057002779096364975,
-0.046407803893089294,
0.10356151312589645,
-0.06517945975065231,
0.03528515249490738,
-3.7971755517673955e-8,
-0.012252856977283955,
0.01722690463066101,
-0.033047739416360855,
0.009472111240029335,
0.05206507444381714,
0.02635723538696766,
-0.036532316356897354,
-0.026187477633357048,
0.05131394788622856,
0.02011338621377945,
0.06093888729810715,
-0.06434257328510284,
-0.001138131134212017,
-0.045912615954875946,
0.039278846234083176,
0.021070947870612144,
-0.042836401611566544,
0.0025597703643143177,
-0.016398662701249123,
-0.015652531757950783,
-0.0035271253436803818,
0.03455417603254318,
-0.013846959918737411,
-0.03366820514202118,
-0.011272660456597805,
0.047164179384708405,
-0.048372358083724976,
0.008337470702826977,
-0.01819600909948349,
-0.050552040338516235,
-0.12725715339183807,
-0.01811189390718937,
0.049304891377687454,
0.0198495015501976,
0.01641635037958622,
0.013415684923529625,
-0.09841273725032806,
0.0320727564394474,
0.053606003522872925,
0.0008925825241021812,
-0.03372721001505852,
-0.03622500225901604,
-0.07651465386152267,
0.02323485165834427,
-0.12559397518634796,
0.08241040259599686,
-0.02321893349289894,
-0.003657952416688204,
-0.027868879958987236,
-0.007070484105497599,
-0.013095528818666935,
0.0359109602868557,
-0.02279437705874443,
-0.08631253987550735,
0.0005070589832030237,
0.019194455817341805,
-0.019788451492786407,
-0.028739100322127342,
0.0028947782702744007,
0.03823006898164749,
0.09563279896974564,
-0.08036652207374573,
-0.12127850204706192,
-0.01414052490144968
] | null | null | null | null | null | null | null |
[
-0.07196212559938431,
-0.04069716855883598,
-0.10650316625833511,
0.029858026653528214,
0.04056636244058609,
-0.008043324574828148,
0.07608944177627563,
0.053722042590379715,
-0.051097530871629715,
0.06339767575263977,
0.06487265974283218,
-0.09838221967220306,
-0.06696125119924545,
0.07346967607736588,
0.0019757398404181004,
-0.030988693237304688,
0.0023264591582119465,
0.0039036604575812817,
0.010314816609025002,
0.07463975250720978,
0.0016936797183007002,
-0.013481070287525654,
0.04423000290989876,
-0.051142480224370956,
0.06067037582397461,
0.02610759809613228,
-0.03677474334836006,
-0.08662942796945572,
0.07295092940330505,
0.002138531534001231,
-0.02235432155430317,
0.01030596625059843,
0.033950261771678925,
0.006445897743105888,
0.14173753559589386,
0.0012443291489034891,
-0.004458207171410322,
0.01741850934922695,
-0.011858579702675343,
-0.0775718241930008,
0.06127164140343666,
0.0037624218966811895,
0.08759012818336487,
-0.04666585475206375,
-0.04545995220541954,
-0.01683281734585762,
0.011226407252252102,
-0.03187344968318939,
0.016438264399766922,
0.07827114313840866,
0.06530286371707916,
-0.021351955831050873,
0.04702961817383766,
-0.022409213706851006,
0.08079498261213303,
-0.00585927814245224,
-0.042120639234781265,
-0.01702241599559784,
0.0000619649508735165,
0.04449152201414108,
0.040016598999500275,
0.026198554784059525,
-0.00837654247879982,
0.030626149848103523,
0.032785460352897644,
0.03098750114440918,
-0.015287211164832115,
-0.014224858023226261,
-0.021501077339053154,
-0.021406352519989014,
0.02921890653669834,
-0.024284372106194496,
-0.0008335189195349813,
0.02048589661717415,
0.0455186627805233,
-0.0518183708190918,
0.0016526428516954184,
-0.026863129809498787,
0.034342918545007706,
-0.009969371370971203,
-0.03720273822546005,
-0.021669873967766762,
-0.04710946977138519,
-0.04763010889291763,
-0.04953828826546669,
-0.008496969938278198,
-0.0022188746370375156,
0.0009382245480082929,
-0.04913117364048958,
0.018387796357274055,
0.04166975989937782,
0.014446171000599861,
-0.04668864235281944,
-0.05376074090600014,
0.021438874304294586,
-0.0005478825187310576,
0.06546231359243393,
0.008020292036235332,
0.010983092710375786,
0.0025697643868625164,
0.09631898999214172,
0.08038122951984406,
0.0022060994524508715,
0.06480856239795685,
-0.059950489550828934,
-0.050028491765260696,
-0.01235887035727501,
0.041388947516679764,
-0.04671585187315941,
0.08261582255363464,
0.07655338197946548,
-0.03143739327788353,
-0.013084097765386105,
-0.03798039257526398,
0.07716469466686249,
-0.012410490773618221,
0.07709124684333801,
0.0457926020026207,
-0.03009345754981041,
-0.0009920725133270025,
-0.03576858341693878,
0.0032426202669739723,
-0.051808856427669525,
0.02692212350666523,
0.00019619041995611042,
0.028546201065182686,
-0.05673244222998619,
2.3026251906318998e-33,
-0.04364773631095886,
0.05264314264059067,
0.01666002906858921,
-0.06923574954271317,
-0.05015023797750473,
-0.12957656383514404,
-0.034233998507261276,
0.006771836429834366,
-0.07094535231590271,
0.0469546802341938,
-0.012133208103477955,
0.04709237813949585,
0.09985894709825516,
-0.05808580666780472,
-0.044377587735652924,
-0.012591632083058357,
-0.021233607083559036,
0.004966675769537687,
0.024118654429912567,
0.060900166630744934,
0.06743083894252777,
-0.041853852570056915,
0.043058961629867554,
0.06322184205055237,
-0.03226570412516594,
0.021734673529863358,
0.046688053756952286,
0.02543509751558304,
-0.04598859325051308,
-0.04231688752770424,
0.011798834428191185,
-0.021339893341064453,
-0.01485595665872097,
0.0756925567984581,
-0.05985270068049431,
0.002473720582202077,
-0.007430277764797211,
-0.0013872843701392412,
0.01775498501956463,
-0.07805022597312927,
0.04491414874792099,
-0.02271455153822899,
-0.022585727274417877,
-0.010311963967978954,
-0.008350071497261524,
-0.009550737217068672,
0.018733613193035126,
-0.06171872839331627,
0.04239730164408684,
-0.04790608584880829,
-0.0018253173911944032,
-0.08701343089342117,
-0.01155098620802164,
0.1101449504494667,
0.09851614385843277,
0.0733252689242363,
0.054726969450712204,
-0.009907614439725876,
0.057502176612615585,
-0.03837323188781738,
0.027767257764935493,
-0.08229488879442215,
-0.01228749193251133,
0.09883177280426025,
-0.06855157017707825,
0.052102621644735336,
-0.13417699933052063,
-0.032922156155109406,
-0.022658206522464752,
0.04480044171214104,
-0.09464109688997269,
0.01813143864274025,
0.1253015547990799,
-0.10764306038618088,
0.09273605048656464,
0.05560808628797531,
-0.06090152636170387,
0.03311556205153465,
-0.035317372530698776,
0.08105095475912094,
0.036897286772727966,
0.020884091034531593,
0.08531156182289124,
-0.02673288993537426,
-0.09320585429668427,
-0.007406499702483416,
-0.06171894818544388,
0.017129816114902496,
0.04905589297413826,
-0.009560576640069485,
0.04649786278605461,
-0.09471800923347473,
-0.014766269363462925,
-0.058833759278059006,
-0.10626105964183807,
-2.5771033052198962e-33,
0.06763588637113571,
0.008699889294803143,
0.07444355636835098,
0.029447367414832115,
0.019548626616597176,
-0.01696978509426117,
0.006250667851418257,
-0.01734728179872036,
0.007895681075751781,
-0.010206135921180248,
0.07787694036960602,
0.05916985124349594,
-0.03891896829009056,
-0.0734962448477745,
0.07171362638473511,
0.03513074293732643,
0.0741240456700325,
-0.029744967818260193,
0.09453313797712326,
0.010438961908221245,
0.010433804243803024,
0.03141463175415993,
-0.022109417244791985,
-0.0769093707203865,
-0.024791868403553963,
-0.02315812185406685,
0.060200270265340805,
-0.0718686655163765,
0.03328448906540871,
-0.0028928122483193874,
-0.09283462911844254,
-0.06785895675420761,
0.04676416516304016,
0.008691822178661823,
-0.034921906888484955,
-0.08380816876888275,
0.004893825855106115,
-0.0038508260622620583,
-0.08479044586420059,
0.021426213905215263,
0.05609965696930885,
0.18214431405067444,
-0.04988037794828415,
0.048557817935943604,
0.019286850467324257,
0.042562272399663925,
-0.013567330315709114,
-0.02819117158651352,
-0.02093851938843727,
-0.04131457209587097,
0.03729686513543129,
-0.015852972865104675,
-0.028297387063503265,
-0.028722412884235382,
-0.0587165467441082,
0.05315994843840599,
-0.0014751304406672716,
0.1390792429447174,
-0.03655540943145752,
0.016914676874876022,
-0.00744597427546978,
-0.1328047811985016,
0.013251197524368763,
-0.037759240716695786,
0.03047531470656395,
-0.048113010823726654,
-0.030415907502174377,
0.039536796510219574,
-0.010835175402462482,
-0.01946702040731907,
0.014961080625653267,
-0.047914162278175354,
0.030654102563858032,
0.016282401978969574,
0.017624547705054283,
-0.028328407555818558,
0.014749583788216114,
-0.02483312040567398,
0.09294434636831284,
-0.001981305656954646,
0.02825087681412697,
0.014367046765983105,
-0.014284757897257805,
0.009534421376883984,
0.13940580189228058,
0.06182033568620682,
-0.08034951984882355,
0.08163533359766006,
-0.00814637541770935,
-0.04132743552327156,
-0.057002779096364975,
-0.046407803893089294,
0.10356151312589645,
-0.06517945975065231,
0.03528515249490738,
-3.7971755517673955e-8,
-0.012252856977283955,
0.01722690463066101,
-0.033047739416360855,
0.009472111240029335,
0.05206507444381714,
0.02635723538696766,
-0.036532316356897354,
-0.026187477633357048,
0.05131394788622856,
0.02011338621377945,
0.06093888729810715,
-0.06434257328510284,
-0.001138131134212017,
-0.045912615954875946,
0.039278846234083176,
0.021070947870612144,
-0.042836401611566544,
0.0025597703643143177,
-0.016398662701249123,
-0.015652531757950783,
-0.0035271253436803818,
0.03455417603254318,
-0.013846959918737411,
-0.03366820514202118,
-0.011272660456597805,
0.047164179384708405,
-0.048372358083724976,
0.008337470702826977,
-0.01819600909948349,
-0.050552040338516235,
-0.12725715339183807,
-0.01811189390718937,
0.049304891377687454,
0.0198495015501976,
0.01641635037958622,
0.013415684923529625,
-0.09841273725032806,
0.0320727564394474,
0.053606003522872925,
0.0008925825241021812,
-0.03372721001505852,
-0.03622500225901604,
-0.07651465386152267,
0.02323485165834427,
-0.12559397518634796,
0.08241040259599686,
-0.02321893349289894,
-0.003657952416688204,
-0.027868879958987236,
-0.007070484105497599,
-0.013095528818666935,
0.0359109602868557,
-0.02279437705874443,
-0.08631253987550735,
0.0005070589832030237,
0.019194455817341805,
-0.019788451492786407,
-0.028739100322127342,
0.0028947782702744007,
0.03823006898164749,
0.09563279896974564,
-0.08036652207374573,
-0.12127850204706192,
-0.01414052490144968
] |
1401.8042
|
Kun Tu
|
Kun Tu, Bruno Ribeiro, Hua Jiang, Xiaodong Wang, David Jensen, Benyuan
Liu and Don Towsley
|
Online Dating Recommendations: Matching Markets and Learning Preferences
|
6 pages, 4 figures, submission on 5th International Workshop on
Social Recommender Systems
| null | null | null |
cs.SI cs.IR physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recommendation systems for online dating have recently attracted much
attention from the research community. In this paper we proposed a two-side
matching framework for online dating recommendations and design an LDA model to
learn the user preferences from the observed user messaging behavior and user
profile features. Experimental results using data from a large online dating
website shows that two-sided matching improves significantly the rate of
successful matches by as much as 45%. Finally, using simulated matchings we
show that the the LDA model can correctly capture user preferences.
|
[
{
"created": "Fri, 31 Jan 2014 02:30:31 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Tu",
"Kun",
""
],
[
"Ribeiro",
"Bruno",
""
],
[
"Jiang",
"Hua",
""
],
[
"Wang",
"Xiaodong",
""
],
[
"Jensen",
"David",
""
],
[
"Liu",
"Benyuan",
""
],
[
"Towsley",
"Don",
""
]
] |
[
-0.0800318494439125,
-0.06707516312599182,
0.03724950551986694,
0.038143858313560486,
-0.0008852814789861441,
0.024742398411035538,
0.04925685003399849,
0.0227033831179142,
-0.002042147098109126,
-0.06850139051675797,
0.013582652434706688,
-0.03321412578225136,
0.032276008278131485,
0.009540166705846786,
0.08379606902599335,
-0.004847821779549122,
0.10642699897289276,
-0.04067862778902054,
0.018854429945349693,
0.05748883634805679,
-0.07594377547502518,
-0.05757608637213707,
0.023935988545417786,
-0.010421390645205975,
-0.0671149343252182,
-0.048661183565855026,
0.040140338242053986,
-0.0075050280429422855,
-0.07879990339279175,
0.0747579038143158,
0.048978324979543686,
0.09920751303434372,
-0.020850803703069687,
-0.003669287543743849,
-0.07361648231744766,
-0.049899403005838394,
-0.10289529711008072,
-0.04301927238702774,
-0.06588656455278397,
0.02434612065553665,
-0.1376180648803711,
0.010611637495458126,
0.018715865910053253,
0.10023067891597748,
-0.06842121481895447,
0.019167764112353325,
-0.007550389505922794,
0.08058540523052216,
0.008601653389632702,
0.0860111266374588,
0.009845079854130745,
-0.05804530903697014,
-0.0009830938652157784,
0.04699937626719475,
-0.015485350973904133,
0.10692793875932693,
-0.06560736149549484,
-0.0002993505331687629,
0.02423764020204544,
0.04819290339946747,
-0.023814890533685684,
-0.045614246279001236,
-0.04977031052112579,
-0.019664904102683067,
0.029022784903645515,
-0.09726318717002869,
-0.05513138696551323,
-0.006842336617410183,
-0.008837730623781681,
0.01288023591041565,
-0.011067280545830727,
0.06154007464647293,
-0.0719272643327713,
0.054949890822172165,
0.004240063019096851,
-0.02898780070245266,
-0.08610741049051285,
-0.07025802135467529,
0.048506345599889755,
0.02558138407766819,
-0.13634613156318665,
-0.055902328342199326,
0.022968586534261703,
-0.02776235155761242,
0.06956198811531067,
-0.07612467557191849,
-0.021739788353443146,
-0.03542841598391533,
-0.023061063140630722,
-0.014327770099043846,
0.01740303821861744,
0.0854310393333435,
0.03667391836643219,
-0.0611010417342186,
-0.042964350432157516,
0.06626243889331818,
0.043650072067976,
0.05283733084797859,
0.04949135333299637,
0.04679505527019501,
-0.01441165991127491,
0.12250711023807526,
-0.047690197825431824,
0.008007426746189594,
-0.00809295754879713,
0.02918233908712864,
-0.04566919803619385,
0.07078879326581955,
0.08556704968214035,
-0.013822074979543686,
-0.03328199312090874,
-0.0228535458445549,
0.005667258985340595,
0.019333040341734886,
0.058711107820272446,
-0.055157750844955444,
0.12851294875144958,
0.016268813982605934,
0.02816876769065857,
0.027984006330370903,
-0.026609037071466446,
-0.025075476616621017,
0.05792713537812233,
-0.0596049465239048,
-0.04469937086105347,
0.023579804226756096,
-0.04550832509994507,
1.4374278284705985e-33,
0.09396721422672272,
-0.00871323887258768,
-0.033137232065200806,
0.004724652040749788,
-0.04739033803343773,
0.012077218852937222,
-0.048139989376068115,
0.011914314702153206,
-0.05574418976902962,
-0.02919042855501175,
0.019280007109045982,
0.08095569908618927,
-0.038683440536260605,
0.10118977725505829,
0.04883025214076042,
0.008068098686635494,
0.048276353627443314,
0.04331940412521362,
0.057472407817840576,
-0.03025304339826107,
0.06481920927762985,
-0.060320354998111725,
0.05579536408185959,
0.03194504603743553,
0.029638709500432014,
0.0012284128461033106,
0.03324885293841362,
-0.001502254861406982,
0.06586340069770813,
-0.0410621240735054,
0.0016117020277306437,
-0.03511808440089226,
0.04177704080939293,
-0.01527874544262886,
0.08030720055103302,
-0.0445169173181057,
0.011326738633215427,
-0.0018272004090249538,
-0.028586016967892647,
-0.015773065388202667,
-0.09620282053947449,
0.02644800953567028,
-0.0032571079209446907,
-0.10563251376152039,
-0.06986755132675171,
0.05687542259693146,
-0.02773609198629856,
0.0037239224184304476,
0.04333720728754997,
-0.030373798683285713,
0.04314697906374931,
-0.02766084298491478,
-0.0581018403172493,
0.10514415055513382,
-0.1079539954662323,
-0.015576008707284927,
-0.015377804636955261,
0.0143422931432724,
-0.009987090714275837,
-0.014035637490451336,
0.05902961269021034,
0.03340321034193039,
0.07116924971342087,
-0.12313120812177658,
-0.028604058548808098,
-0.07077562063932419,
0.05253790691494942,
-0.09212979674339294,
0.013257738202810287,
0.021607378497719765,
0.03978830575942993,
0.09214897453784943,
0.006717435549944639,
0.04321403056383133,
-0.03479117155075073,
-0.005513833835721016,
0.03474171459674835,
0.05056155100464821,
0.04355739429593086,
-0.019247762858867645,
0.0030359949450939894,
0.009825833141803741,
0.012934790924191475,
-0.07763982564210892,
-0.009439227171242237,
-0.07288960367441177,
-0.018936224281787872,
-0.1336563527584076,
-0.10939213633537292,
-0.033891573548316956,
0.013201150111854076,
0.06055052950978279,
0.005471990909427404,
0.05871120095252991,
0.059558652341365814,
-2.2004319362042334e-33,
-0.0590546578168869,
-0.06126905977725983,
0.09476467221975327,
-0.03259861469268799,
0.06274781376123428,
-0.039790667593479156,
0.0036863938439637423,
-0.009623146615922451,
0.09170565754175186,
0.012056052684783936,
-0.03180674836039543,
0.01426422968506813,
0.06831219792366028,
0.03930272161960602,
0.0330924391746521,
0.019527511671185493,
0.03054828569293022,
-0.03202465549111366,
-0.030554408207535744,
-0.002782589988783002,
0.013670614920556545,
-0.04361821338534355,
-0.08344011008739471,
0.005897467955946922,
0.004181591793894768,
-0.005202591884881258,
0.052397824823856354,
-0.03440963849425316,
-0.018368951976299286,
0.000816861167550087,
-0.015549027360975742,
-0.022161822766065598,
-0.05076443403959274,
-0.05096808820962906,
0.004855084698647261,
0.010619625449180603,
-0.10630939900875092,
0.037064556032419205,
-0.000007859560355427675,
0.12152579426765442,
0.0071643078699707985,
0.08512517064809799,
-0.09250477701425552,
-0.007905636914074421,
-0.05075888708233833,
0.004775977227836847,
-0.028381070122122765,
0.03637930005788803,
0.02148503065109253,
-0.09303934127092361,
0.044817615300416946,
0.029253356158733368,
-0.03840301185846329,
-0.01333686150610447,
-0.0036780955269932747,
-0.05507658049464226,
-0.02879345417022705,
0.03759656846523285,
0.059109341353178024,
0.03560534492135048,
-0.05575181543827057,
-0.016042590141296387,
0.022244887426495552,
0.021729301661252975,
-0.0014959886902943254,
-0.05925675854086876,
0.020321862772107124,
-0.012466388754546642,
-0.10175000876188278,
-0.019185489043593407,
0.02661125734448433,
-0.06787189096212387,
-0.023459525778889656,
-0.010293567553162575,
0.03496779873967171,
-0.09247429668903351,
0.011263949796557426,
-0.002861853688955307,
0.023044085130095482,
0.05394218862056732,
-0.07062951475381851,
0.051592905074357986,
0.047143418341875076,
-0.010707978159189224,
0.09282048791646957,
0.035673778504133224,
-0.03617275133728981,
0.04126761481165886,
-0.04216442257165909,
-0.011941839940845966,
0.025452490895986557,
-0.015534101985394955,
0.0415043830871582,
0.014669511467218399,
-0.08620496094226837,
-3.193639486198663e-8,
-0.06827002018690109,
-0.06564169377088547,
0.011115272529423237,
0.04855550453066826,
0.02402999997138977,
0.0350867323577404,
0.02216046117246151,
0.07389184832572937,
-0.04241432994604111,
0.02838398702442646,
0.007890566252171993,
0.08043890446424484,
-0.017928529530763626,
0.028794508427381516,
0.035868942737579346,
0.04747001454234123,
0.022850172594189644,
-0.013303713873028755,
-0.016496356576681137,
0.0015350542962551117,
0.019457707181572914,
0.007153689861297607,
0.007033230736851692,
-0.00637821713462472,
-0.021047189831733704,
0.07134320586919785,
0.002691577887162566,
0.09204350411891937,
0.032368242740631104,
0.044416338205337524,
-0.006604346912354231,
-0.0006090734386816621,
0.04903661087155342,
-0.12606918811798096,
0.13552352786064148,
-0.008372938260436058,
-0.019536355510354042,
-0.08389892429113388,
-0.05348548665642738,
-0.04362233355641365,
0.022375358268618584,
0.0048542320728302,
-0.002242662012577057,
0.04544743150472641,
0.055597107857465744,
0.06854104995727539,
0.0551304966211319,
-0.06701432168483734,
-0.016499485820531845,
0.01690349355340004,
-0.02023039013147354,
-0.061797864735126495,
0.039215896278619766,
-0.0552985779941082,
0.011500110849738121,
-0.06990687549114227,
-0.011435030959546566,
0.050878338515758514,
0.1173793226480484,
-0.0412520132958889,
0.041313376277685165,
-0.050606291741132736,
0.01429472304880619,
0.055898506194353104
] | null | null | null | null | null | null | null |
[
-0.0800318494439125,
-0.06707516312599182,
0.03724950551986694,
0.038143858313560486,
-0.0008852814789861441,
0.024742398411035538,
0.04925685003399849,
0.0227033831179142,
-0.002042147098109126,
-0.06850139051675797,
0.013582652434706688,
-0.03321412578225136,
0.032276008278131485,
0.009540166705846786,
0.08379606902599335,
-0.004847821779549122,
0.10642699897289276,
-0.04067862778902054,
0.018854429945349693,
0.05748883634805679,
-0.07594377547502518,
-0.05757608637213707,
0.023935988545417786,
-0.010421390645205975,
-0.0671149343252182,
-0.048661183565855026,
0.040140338242053986,
-0.0075050280429422855,
-0.07879990339279175,
0.0747579038143158,
0.048978324979543686,
0.09920751303434372,
-0.020850803703069687,
-0.003669287543743849,
-0.07361648231744766,
-0.049899403005838394,
-0.10289529711008072,
-0.04301927238702774,
-0.06588656455278397,
0.02434612065553665,
-0.1376180648803711,
0.010611637495458126,
0.018715865910053253,
0.10023067891597748,
-0.06842121481895447,
0.019167764112353325,
-0.007550389505922794,
0.08058540523052216,
0.008601653389632702,
0.0860111266374588,
0.009845079854130745,
-0.05804530903697014,
-0.0009830938652157784,
0.04699937626719475,
-0.015485350973904133,
0.10692793875932693,
-0.06560736149549484,
-0.0002993505331687629,
0.02423764020204544,
0.04819290339946747,
-0.023814890533685684,
-0.045614246279001236,
-0.04977031052112579,
-0.019664904102683067,
0.029022784903645515,
-0.09726318717002869,
-0.05513138696551323,
-0.006842336617410183,
-0.008837730623781681,
0.01288023591041565,
-0.011067280545830727,
0.06154007464647293,
-0.0719272643327713,
0.054949890822172165,
0.004240063019096851,
-0.02898780070245266,
-0.08610741049051285,
-0.07025802135467529,
0.048506345599889755,
0.02558138407766819,
-0.13634613156318665,
-0.055902328342199326,
0.022968586534261703,
-0.02776235155761242,
0.06956198811531067,
-0.07612467557191849,
-0.021739788353443146,
-0.03542841598391533,
-0.023061063140630722,
-0.014327770099043846,
0.01740303821861744,
0.0854310393333435,
0.03667391836643219,
-0.0611010417342186,
-0.042964350432157516,
0.06626243889331818,
0.043650072067976,
0.05283733084797859,
0.04949135333299637,
0.04679505527019501,
-0.01441165991127491,
0.12250711023807526,
-0.047690197825431824,
0.008007426746189594,
-0.00809295754879713,
0.02918233908712864,
-0.04566919803619385,
0.07078879326581955,
0.08556704968214035,
-0.013822074979543686,
-0.03328199312090874,
-0.0228535458445549,
0.005667258985340595,
0.019333040341734886,
0.058711107820272446,
-0.055157750844955444,
0.12851294875144958,
0.016268813982605934,
0.02816876769065857,
0.027984006330370903,
-0.026609037071466446,
-0.025075476616621017,
0.05792713537812233,
-0.0596049465239048,
-0.04469937086105347,
0.023579804226756096,
-0.04550832509994507,
1.4374278284705985e-33,
0.09396721422672272,
-0.00871323887258768,
-0.033137232065200806,
0.004724652040749788,
-0.04739033803343773,
0.012077218852937222,
-0.048139989376068115,
0.011914314702153206,
-0.05574418976902962,
-0.02919042855501175,
0.019280007109045982,
0.08095569908618927,
-0.038683440536260605,
0.10118977725505829,
0.04883025214076042,
0.008068098686635494,
0.048276353627443314,
0.04331940412521362,
0.057472407817840576,
-0.03025304339826107,
0.06481920927762985,
-0.060320354998111725,
0.05579536408185959,
0.03194504603743553,
0.029638709500432014,
0.0012284128461033106,
0.03324885293841362,
-0.001502254861406982,
0.06586340069770813,
-0.0410621240735054,
0.0016117020277306437,
-0.03511808440089226,
0.04177704080939293,
-0.01527874544262886,
0.08030720055103302,
-0.0445169173181057,
0.011326738633215427,
-0.0018272004090249538,
-0.028586016967892647,
-0.015773065388202667,
-0.09620282053947449,
0.02644800953567028,
-0.0032571079209446907,
-0.10563251376152039,
-0.06986755132675171,
0.05687542259693146,
-0.02773609198629856,
0.0037239224184304476,
0.04333720728754997,
-0.030373798683285713,
0.04314697906374931,
-0.02766084298491478,
-0.0581018403172493,
0.10514415055513382,
-0.1079539954662323,
-0.015576008707284927,
-0.015377804636955261,
0.0143422931432724,
-0.009987090714275837,
-0.014035637490451336,
0.05902961269021034,
0.03340321034193039,
0.07116924971342087,
-0.12313120812177658,
-0.028604058548808098,
-0.07077562063932419,
0.05253790691494942,
-0.09212979674339294,
0.013257738202810287,
0.021607378497719765,
0.03978830575942993,
0.09214897453784943,
0.006717435549944639,
0.04321403056383133,
-0.03479117155075073,
-0.005513833835721016,
0.03474171459674835,
0.05056155100464821,
0.04355739429593086,
-0.019247762858867645,
0.0030359949450939894,
0.009825833141803741,
0.012934790924191475,
-0.07763982564210892,
-0.009439227171242237,
-0.07288960367441177,
-0.018936224281787872,
-0.1336563527584076,
-0.10939213633537292,
-0.033891573548316956,
0.013201150111854076,
0.06055052950978279,
0.005471990909427404,
0.05871120095252991,
0.059558652341365814,
-2.2004319362042334e-33,
-0.0590546578168869,
-0.06126905977725983,
0.09476467221975327,
-0.03259861469268799,
0.06274781376123428,
-0.039790667593479156,
0.0036863938439637423,
-0.009623146615922451,
0.09170565754175186,
0.012056052684783936,
-0.03180674836039543,
0.01426422968506813,
0.06831219792366028,
0.03930272161960602,
0.0330924391746521,
0.019527511671185493,
0.03054828569293022,
-0.03202465549111366,
-0.030554408207535744,
-0.002782589988783002,
0.013670614920556545,
-0.04361821338534355,
-0.08344011008739471,
0.005897467955946922,
0.004181591793894768,
-0.005202591884881258,
0.052397824823856354,
-0.03440963849425316,
-0.018368951976299286,
0.000816861167550087,
-0.015549027360975742,
-0.022161822766065598,
-0.05076443403959274,
-0.05096808820962906,
0.004855084698647261,
0.010619625449180603,
-0.10630939900875092,
0.037064556032419205,
-0.000007859560355427675,
0.12152579426765442,
0.0071643078699707985,
0.08512517064809799,
-0.09250477701425552,
-0.007905636914074421,
-0.05075888708233833,
0.004775977227836847,
-0.028381070122122765,
0.03637930005788803,
0.02148503065109253,
-0.09303934127092361,
0.044817615300416946,
0.029253356158733368,
-0.03840301185846329,
-0.01333686150610447,
-0.0036780955269932747,
-0.05507658049464226,
-0.02879345417022705,
0.03759656846523285,
0.059109341353178024,
0.03560534492135048,
-0.05575181543827057,
-0.016042590141296387,
0.022244887426495552,
0.021729301661252975,
-0.0014959886902943254,
-0.05925675854086876,
0.020321862772107124,
-0.012466388754546642,
-0.10175000876188278,
-0.019185489043593407,
0.02661125734448433,
-0.06787189096212387,
-0.023459525778889656,
-0.010293567553162575,
0.03496779873967171,
-0.09247429668903351,
0.011263949796557426,
-0.002861853688955307,
0.023044085130095482,
0.05394218862056732,
-0.07062951475381851,
0.051592905074357986,
0.047143418341875076,
-0.010707978159189224,
0.09282048791646957,
0.035673778504133224,
-0.03617275133728981,
0.04126761481165886,
-0.04216442257165909,
-0.011941839940845966,
0.025452490895986557,
-0.015534101985394955,
0.0415043830871582,
0.014669511467218399,
-0.08620496094226837,
-3.193639486198663e-8,
-0.06827002018690109,
-0.06564169377088547,
0.011115272529423237,
0.04855550453066826,
0.02402999997138977,
0.0350867323577404,
0.02216046117246151,
0.07389184832572937,
-0.04241432994604111,
0.02838398702442646,
0.007890566252171993,
0.08043890446424484,
-0.017928529530763626,
0.028794508427381516,
0.035868942737579346,
0.04747001454234123,
0.022850172594189644,
-0.013303713873028755,
-0.016496356576681137,
0.0015350542962551117,
0.019457707181572914,
0.007153689861297607,
0.007033230736851692,
-0.00637821713462472,
-0.021047189831733704,
0.07134320586919785,
0.002691577887162566,
0.09204350411891937,
0.032368242740631104,
0.044416338205337524,
-0.006604346912354231,
-0.0006090734386816621,
0.04903661087155342,
-0.12606918811798096,
0.13552352786064148,
-0.008372938260436058,
-0.019536355510354042,
-0.08389892429113388,
-0.05348548665642738,
-0.04362233355641365,
0.022375358268618584,
0.0048542320728302,
-0.002242662012577057,
0.04544743150472641,
0.055597107857465744,
0.06854104995727539,
0.0551304966211319,
-0.06701432168483734,
-0.016499485820531845,
0.01690349355340004,
-0.02023039013147354,
-0.061797864735126495,
0.039215896278619766,
-0.0552985779941082,
0.011500110849738121,
-0.06990687549114227,
-0.011435030959546566,
0.050878338515758514,
0.1173793226480484,
-0.0412520132958889,
0.041313376277685165,
-0.050606291741132736,
0.01429472304880619,
0.055898506194353104
] |
1401.8044
|
Kevin Carlberg
|
Kevin Carlberg, Ray Tuminaro, and Paul Boggs
|
Preserving Lagrangian structure in nonlinear model reduction with
application to structural dynamics
|
Submitted to SIAM Journal on Scientific Computing (SISC)
|
SIAM Journal on Scientific Computing, Vol. 37, No. 2, p. B153-B184
(2015)
|
10.1137/140959602
| null |
cs.CE math.NA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work proposes a model-reduction methodology that preserves Lagrangian
structure (equivalently Hamiltonian structure) and achieves computational
efficiency in the presence of high-order nonlinearities and arbitrary parameter
dependence. As such, the resulting reduced-order model retains key properties
such as energy conservation and symplectic time-evolution maps. We focus on
parameterized simple mechanical systems subjected to Rayleigh damping and
external forces, and consider an application to nonlinear structural dynamics.
To preserve structure, the method first approximates the system's `Lagrangian
ingredients'---the Riemannian metric, the potential-energy function, the
dissipation function, and the external force---and subsequently derives
reduced-order equations of motion by applying the (forced) Euler--Lagrange
equation with these quantities. From the algebraic perspective, key
contributions include two efficient techniques for approximating parameterized
reduced matrices while preserving symmetry and positive definiteness: matrix
gappy POD and reduced-basis sparsification (RBS). Results for a parameterized
truss-structure problem demonstrate the importance of preserving Lagrangian
structure and illustrate the proposed method's merits: it reduces computation
time while maintaining high accuracy and stability, in contrast to existing
nonlinear model-reduction techniques that do not preserve structure.
|
[
{
"created": "Fri, 31 Jan 2014 02:43:14 GMT",
"version": "v1"
}
] |
2015-04-16
|
[
[
"Carlberg",
"Kevin",
""
],
[
"Tuminaro",
"Ray",
""
],
[
"Boggs",
"Paul",
""
]
] |
[
-0.006436166353523731,
0.022663984447717667,
0.02166074514389038,
0.010861537419259548,
-0.009065871126949787,
-0.011865800246596336,
-0.07568075507879257,
-0.02020755410194397,
0.03792200982570648,
0.031699299812316895,
0.05627850070595741,
0.04983578249812126,
0.005666580516844988,
0.006633416749536991,
-0.011330409906804562,
0.04390791431069374,
-0.031037067994475365,
0.1129528060555458,
-0.07593473792076111,
0.01601620577275753,
0.0034114401787519455,
0.04911411926150322,
-0.06230376660823822,
0.024855483323335648,
0.02601711079478264,
-0.03499424457550049,
0.02175777591764927,
0.06991872936487198,
-0.03427743539214134,
-0.006658273749053478,
0.016022976487874985,
-0.08613299578428268,
-0.08864139765501022,
-0.12226102501153946,
-0.029326755553483963,
0.0695069208741188,
0.033283744007349014,
-0.024978643283247948,
-0.017883913591504097,
-0.025136277079582214,
-0.03802536055445671,
0.10310636460781097,
0.03940277174115181,
0.016301892697811127,
0.021038325503468513,
0.053620919585227966,
0.008231841027736664,
-0.0048620435409247875,
-0.011229143477976322,
-0.009344593621790409,
-0.03126091882586479,
0.01420404389500618,
0.013884482905268669,
0.01648709736764431,
-0.020709356293082237,
-0.08382070064544678,
-0.06529110670089722,
-0.03340345621109009,
0.012847760692238808,
-0.04223114997148514,
0.0044335550628602505,
-0.04547344148159027,
0.0004826736985705793,
0.009017402306199074,
0.004480182658880949,
0.03918782249093056,
0.0923883318901062,
-0.046064432710409164,
0.021838661283254623,
0.03980308771133423,
-0.03548907861113548,
-0.060680244117975235,
0.03598439320921898,
0.06214774027466774,
-0.0005149422213435173,
0.018077023327350616,
0.06770149618387222,
0.10958544909954071,
-0.005494588054716587,
0.03981975466012955,
0.08323825150728226,
0.01447307039052248,
-0.043898481875658035,
-0.005264032632112503,
-0.0833553895354271,
-0.00946989469230175,
0.029302267357707024,
-0.007539576850831509,
0.06793655455112457,
-0.035493917763233185,
0.04946313798427582,
-0.012577390298247337,
-0.05005333572626114,
-0.026113497093319893,
0.056568797677755356,
-0.0668419748544693,
0.08668948709964752,
0.08846887201070786,
-0.025918491184711456,
0.07915021479129791,
0.02206018567085266,
-0.002785429358482361,
0.008533835411071777,
0.08346550911664963,
0.061596520245075226,
-0.030346320942044258,
0.00863224733620882,
0.030448587611317635,
-0.03739205747842789,
0.028633348643779755,
-0.01851469837129116,
0.05967417731881142,
-0.0436883307993412,
0.04980922490358353,
-0.02717564068734646,
-0.050811972469091415,
0.0970531702041626,
-0.01540478877723217,
0.10656368732452393,
0.00807755347341299,
0.0696905255317688,
-0.01458474900573492,
0.05038066208362579,
0.06885278224945068,
0.04433107376098633,
0.020037755370140076,
-0.14321643114089966,
-1.275368942642957e-33,
-0.05660045146942139,
0.09291571378707886,
0.0800539180636406,
-0.02914765663444996,
0.04009608179330826,
-0.010732065886259079,
0.006793464068323374,
0.028127526864409447,
-0.018438855186104774,
0.03675968945026398,
-0.12077417969703674,
0.006163631100207567,
0.022405922412872314,
-0.003520858008414507,
0.02613069862127304,
-0.03297334536910057,
0.009844227693974972,
-0.014458473771810532,
-0.01853492483496666,
-0.03944873809814453,
0.031626034528017044,
0.00011639585864031687,
-0.027619415894150734,
-0.004843773785978556,
-0.09869623184204102,
-0.0051080635748803616,
0.046571407467126846,
-0.019930489361286163,
-0.07451619952917099,
-0.0256446935236454,
-0.01750919595360756,
-0.037126682698726654,
-0.03474230691790581,
0.05677086487412453,
0.08242009580135345,
-0.022943031042814255,
-0.01867830753326416,
-0.0182193610817194,
0.025125842541456223,
-0.024400625377893448,
-0.054700810462236404,
0.021330812945961952,
-0.03938727453351021,
0.025492411106824875,
-0.039466988295316696,
-0.10638641566038132,
0.05811970680952072,
0.0742032378911972,
-0.05043715238571167,
-0.06941990554332733,
-0.036346111446619034,
0.05104246735572815,
0.031340859830379486,
-0.020173314958810806,
-0.06245235726237297,
-0.08699402958154678,
0.022237079218029976,
-0.04697224497795105,
-0.0840739756822586,
-0.010751646012067795,
0.028375860303640366,
-0.041705094277858734,
0.14651444554328918,
-0.02376432716846466,
0.08195851743221283,
-0.005088602192699909,
-0.03654005378484726,
-0.0074321916326880455,
0.034454237669706345,
-0.07487473636865616,
-0.03319401293992996,
-0.02927013672888279,
0.03262519836425781,
0.06765609234571457,
0.039844196289777756,
-0.000058869452914223075,
0.03996840864419937,
-0.11520149558782578,
-0.04797936975955963,
-0.013511255383491516,
-0.04460334777832031,
0.07046093046665192,
0.027958473190665245,
0.0655025839805603,
-0.013813396915793419,
-0.09675971418619156,
0.05839214846491814,
0.04608043655753136,
0.012264593504369259,
-0.08918899297714233,
-0.13819581270217896,
-0.0756509006023407,
-0.014123223721981049,
0.00007322619057958946,
0.06207853928208351,
-9.967224148843493e-34,
0.012459175661206245,
-0.000718153896741569,
0.018309297040104866,
0.006125558167695999,
-0.011754756793379784,
-0.11532566696405411,
-0.02320295199751854,
0.01906774379312992,
-0.01777694746851921,
0.0011774328304454684,
0.07195837050676346,
-0.015940580517053604,
-0.015029385685920715,
-0.012555002234876156,
0.04403158277273178,
0.12020745128393173,
0.0024938492570072412,
-0.10297555476427078,
-0.03858625888824463,
-0.044675733894109726,
-0.06031067669391632,
0.10711877048015594,
0.000810663856100291,
-0.039467956870794296,
0.018211310729384422,
-0.01900886744260788,
0.04527852684259415,
0.01138287503272295,
0.07855066657066345,
0.03336438164114952,
-0.12310384213924408,
0.020360905677080154,
0.029877107590436935,
0.08863015472888947,
-0.04880650341510773,
0.13238276541233063,
-0.027984408661723137,
0.06018844246864319,
0.11505516618490219,
0.049886249005794525,
-0.01224199403077364,
0.013971401378512383,
-0.07746490091085434,
0.002153501147404313,
0.10253028571605682,
0.02979970909655094,
0.022421855479478836,
-0.0025346612092107534,
-0.0786990225315094,
0.017385877668857574,
0.016423875465989113,
0.04819156602025032,
-0.06168721243739128,
-0.005287745036184788,
0.012541672214865685,
-0.047134317457675934,
-0.027704020962119102,
-0.014677864499390125,
0.030266618356108665,
-0.04439643770456314,
-0.04628235101699829,
-0.011006460525095463,
0.04577190428972244,
-0.03393762186169624,
-0.0519150048494339,
0.0008194355759769678,
0.019654735922813416,
-0.0314597487449646,
-0.023211881518363953,
-0.02759363502264023,
-0.03441115468740463,
0.001130664604716003,
0.06223643943667412,
0.07487529516220093,
0.06072060018777847,
-0.043697088956832886,
0.06637731194496155,
-0.0033486064057797194,
-0.03240290284156799,
-0.09806384891271591,
0.06618408858776093,
-0.04925829917192459,
0.018658779561519623,
0.011826316826045513,
-0.019203336909413338,
0.020210791379213333,
-0.01910213753581047,
0.04882519319653511,
-0.013812877237796783,
0.0007937594782561064,
0.11149299889802933,
-0.014519445598125458,
0.08647777885198593,
0.11204475164413452,
-0.030615828931331635,
-5.0782983151975714e-8,
0.07475728541612625,
0.002265569753944874,
-0.06522595882415771,
-0.0027830523904412985,
-0.029977140948176384,
-0.009790286421775818,
-0.04828205332159996,
-0.03379698470234871,
0.029353022575378418,
-0.099829763174057,
0.06554468721151352,
-0.03306518867611885,
-0.0327904112637043,
-0.0437651053071022,
-0.0729728639125824,
0.02295289747416973,
-0.012979314662516117,
-0.0023337705060839653,
-0.052209313958883286,
-0.020682601258158684,
-0.05099603161215782,
-0.01797207072377205,
-0.018627850338816643,
-0.00013536996266338974,
0.074858658015728,
-0.0693286582827568,
-0.023697083815932274,
-0.04600270837545395,
0.09819729626178741,
-0.054019566625356674,
-0.006685203872621059,
0.03941759467124939,
-0.01936689205467701,
0.00637225853279233,
-0.133082315325737,
0.06845706701278687,
0.015947462990880013,
0.023806320503354073,
-0.05546509847044945,
-0.01177507545799017,
-0.02804655209183693,
0.01887199841439724,
-0.03763881325721741,
0.015799064189195633,
0.09892618656158447,
0.0977587103843689,
-0.058769725263118744,
-0.023600930348038673,
0.025619011372327805,
0.07411479204893112,
0.0037625208497047424,
0.04930746927857399,
0.06795056164264679,
-0.03271453082561493,
-0.032086439430713654,
-0.039948396384716034,
-0.008112408220767975,
-0.0016110168071463704,
0.026067567989230156,
-0.0689549520611763,
-0.04108353704214096,
0.010296856984496117,
0.0009651676518842578,
-0.009791842661798
] | null | null | null | null | null | null | null |
[
-0.006436166353523731,
0.022663984447717667,
0.02166074514389038,
0.010861537419259548,
-0.009065871126949787,
-0.011865800246596336,
-0.07568075507879257,
-0.02020755410194397,
0.03792200982570648,
0.031699299812316895,
0.05627850070595741,
0.04983578249812126,
0.005666580516844988,
0.006633416749536991,
-0.011330409906804562,
0.04390791431069374,
-0.031037067994475365,
0.1129528060555458,
-0.07593473792076111,
0.01601620577275753,
0.0034114401787519455,
0.04911411926150322,
-0.06230376660823822,
0.024855483323335648,
0.02601711079478264,
-0.03499424457550049,
0.02175777591764927,
0.06991872936487198,
-0.03427743539214134,
-0.006658273749053478,
0.016022976487874985,
-0.08613299578428268,
-0.08864139765501022,
-0.12226102501153946,
-0.029326755553483963,
0.0695069208741188,
0.033283744007349014,
-0.024978643283247948,
-0.017883913591504097,
-0.025136277079582214,
-0.03802536055445671,
0.10310636460781097,
0.03940277174115181,
0.016301892697811127,
0.021038325503468513,
0.053620919585227966,
0.008231841027736664,
-0.0048620435409247875,
-0.011229143477976322,
-0.009344593621790409,
-0.03126091882586479,
0.01420404389500618,
0.013884482905268669,
0.01648709736764431,
-0.020709356293082237,
-0.08382070064544678,
-0.06529110670089722,
-0.03340345621109009,
0.012847760692238808,
-0.04223114997148514,
0.0044335550628602505,
-0.04547344148159027,
0.0004826736985705793,
0.009017402306199074,
0.004480182658880949,
0.03918782249093056,
0.0923883318901062,
-0.046064432710409164,
0.021838661283254623,
0.03980308771133423,
-0.03548907861113548,
-0.060680244117975235,
0.03598439320921898,
0.06214774027466774,
-0.0005149422213435173,
0.018077023327350616,
0.06770149618387222,
0.10958544909954071,
-0.005494588054716587,
0.03981975466012955,
0.08323825150728226,
0.01447307039052248,
-0.043898481875658035,
-0.005264032632112503,
-0.0833553895354271,
-0.00946989469230175,
0.029302267357707024,
-0.007539576850831509,
0.06793655455112457,
-0.035493917763233185,
0.04946313798427582,
-0.012577390298247337,
-0.05005333572626114,
-0.026113497093319893,
0.056568797677755356,
-0.0668419748544693,
0.08668948709964752,
0.08846887201070786,
-0.025918491184711456,
0.07915021479129791,
0.02206018567085266,
-0.002785429358482361,
0.008533835411071777,
0.08346550911664963,
0.061596520245075226,
-0.030346320942044258,
0.00863224733620882,
0.030448587611317635,
-0.03739205747842789,
0.028633348643779755,
-0.01851469837129116,
0.05967417731881142,
-0.0436883307993412,
0.04980922490358353,
-0.02717564068734646,
-0.050811972469091415,
0.0970531702041626,
-0.01540478877723217,
0.10656368732452393,
0.00807755347341299,
0.0696905255317688,
-0.01458474900573492,
0.05038066208362579,
0.06885278224945068,
0.04433107376098633,
0.020037755370140076,
-0.14321643114089966,
-1.275368942642957e-33,
-0.05660045146942139,
0.09291571378707886,
0.0800539180636406,
-0.02914765663444996,
0.04009608179330826,
-0.010732065886259079,
0.006793464068323374,
0.028127526864409447,
-0.018438855186104774,
0.03675968945026398,
-0.12077417969703674,
0.006163631100207567,
0.022405922412872314,
-0.003520858008414507,
0.02613069862127304,
-0.03297334536910057,
0.009844227693974972,
-0.014458473771810532,
-0.01853492483496666,
-0.03944873809814453,
0.031626034528017044,
0.00011639585864031687,
-0.027619415894150734,
-0.004843773785978556,
-0.09869623184204102,
-0.0051080635748803616,
0.046571407467126846,
-0.019930489361286163,
-0.07451619952917099,
-0.0256446935236454,
-0.01750919595360756,
-0.037126682698726654,
-0.03474230691790581,
0.05677086487412453,
0.08242009580135345,
-0.022943031042814255,
-0.01867830753326416,
-0.0182193610817194,
0.025125842541456223,
-0.024400625377893448,
-0.054700810462236404,
0.021330812945961952,
-0.03938727453351021,
0.025492411106824875,
-0.039466988295316696,
-0.10638641566038132,
0.05811970680952072,
0.0742032378911972,
-0.05043715238571167,
-0.06941990554332733,
-0.036346111446619034,
0.05104246735572815,
0.031340859830379486,
-0.020173314958810806,
-0.06245235726237297,
-0.08699402958154678,
0.022237079218029976,
-0.04697224497795105,
-0.0840739756822586,
-0.010751646012067795,
0.028375860303640366,
-0.041705094277858734,
0.14651444554328918,
-0.02376432716846466,
0.08195851743221283,
-0.005088602192699909,
-0.03654005378484726,
-0.0074321916326880455,
0.034454237669706345,
-0.07487473636865616,
-0.03319401293992996,
-0.02927013672888279,
0.03262519836425781,
0.06765609234571457,
0.039844196289777756,
-0.000058869452914223075,
0.03996840864419937,
-0.11520149558782578,
-0.04797936975955963,
-0.013511255383491516,
-0.04460334777832031,
0.07046093046665192,
0.027958473190665245,
0.0655025839805603,
-0.013813396915793419,
-0.09675971418619156,
0.05839214846491814,
0.04608043655753136,
0.012264593504369259,
-0.08918899297714233,
-0.13819581270217896,
-0.0756509006023407,
-0.014123223721981049,
0.00007322619057958946,
0.06207853928208351,
-9.967224148843493e-34,
0.012459175661206245,
-0.000718153896741569,
0.018309297040104866,
0.006125558167695999,
-0.011754756793379784,
-0.11532566696405411,
-0.02320295199751854,
0.01906774379312992,
-0.01777694746851921,
0.0011774328304454684,
0.07195837050676346,
-0.015940580517053604,
-0.015029385685920715,
-0.012555002234876156,
0.04403158277273178,
0.12020745128393173,
0.0024938492570072412,
-0.10297555476427078,
-0.03858625888824463,
-0.044675733894109726,
-0.06031067669391632,
0.10711877048015594,
0.000810663856100291,
-0.039467956870794296,
0.018211310729384422,
-0.01900886744260788,
0.04527852684259415,
0.01138287503272295,
0.07855066657066345,
0.03336438164114952,
-0.12310384213924408,
0.020360905677080154,
0.029877107590436935,
0.08863015472888947,
-0.04880650341510773,
0.13238276541233063,
-0.027984408661723137,
0.06018844246864319,
0.11505516618490219,
0.049886249005794525,
-0.01224199403077364,
0.013971401378512383,
-0.07746490091085434,
0.002153501147404313,
0.10253028571605682,
0.02979970909655094,
0.022421855479478836,
-0.0025346612092107534,
-0.0786990225315094,
0.017385877668857574,
0.016423875465989113,
0.04819156602025032,
-0.06168721243739128,
-0.005287745036184788,
0.012541672214865685,
-0.047134317457675934,
-0.027704020962119102,
-0.014677864499390125,
0.030266618356108665,
-0.04439643770456314,
-0.04628235101699829,
-0.011006460525095463,
0.04577190428972244,
-0.03393762186169624,
-0.0519150048494339,
0.0008194355759769678,
0.019654735922813416,
-0.0314597487449646,
-0.023211881518363953,
-0.02759363502264023,
-0.03441115468740463,
0.001130664604716003,
0.06223643943667412,
0.07487529516220093,
0.06072060018777847,
-0.043697088956832886,
0.06637731194496155,
-0.0033486064057797194,
-0.03240290284156799,
-0.09806384891271591,
0.06618408858776093,
-0.04925829917192459,
0.018658779561519623,
0.011826316826045513,
-0.019203336909413338,
0.020210791379213333,
-0.01910213753581047,
0.04882519319653511,
-0.013812877237796783,
0.0007937594782561064,
0.11149299889802933,
-0.014519445598125458,
0.08647777885198593,
0.11204475164413452,
-0.030615828931331635,
-5.0782983151975714e-8,
0.07475728541612625,
0.002265569753944874,
-0.06522595882415771,
-0.0027830523904412985,
-0.029977140948176384,
-0.009790286421775818,
-0.04828205332159996,
-0.03379698470234871,
0.029353022575378418,
-0.099829763174057,
0.06554468721151352,
-0.03306518867611885,
-0.0327904112637043,
-0.0437651053071022,
-0.0729728639125824,
0.02295289747416973,
-0.012979314662516117,
-0.0023337705060839653,
-0.052209313958883286,
-0.020682601258158684,
-0.05099603161215782,
-0.01797207072377205,
-0.018627850338816643,
-0.00013536996266338974,
0.074858658015728,
-0.0693286582827568,
-0.023697083815932274,
-0.04600270837545395,
0.09819729626178741,
-0.054019566625356674,
-0.006685203872621059,
0.03941759467124939,
-0.01936689205467701,
0.00637225853279233,
-0.133082315325737,
0.06845706701278687,
0.015947462990880013,
0.023806320503354073,
-0.05546509847044945,
-0.01177507545799017,
-0.02804655209183693,
0.01887199841439724,
-0.03763881325721741,
0.015799064189195633,
0.09892618656158447,
0.0977587103843689,
-0.058769725263118744,
-0.023600930348038673,
0.025619011372327805,
0.07411479204893112,
0.0037625208497047424,
0.04930746927857399,
0.06795056164264679,
-0.03271453082561493,
-0.032086439430713654,
-0.039948396384716034,
-0.008112408220767975,
-0.0016110168071463704,
0.026067567989230156,
-0.0689549520611763,
-0.04108353704214096,
0.010296856984496117,
0.0009651676518842578,
-0.009791842661798
] |
1401.8045
|
Chang Qing Sun Dr
|
Chang Q Sun
|
A Supersolid Skin Covering both Water and Ice
| null | null |
10.1039/C4CP02516D
| null |
cond-mat.soft cond-mat.mtrl-sci physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mysterious nature and functionality of water and ice skins remain
baffling to the community since 1859 when Farady firstly proposed liquid skin
lubricating ice. Here we show the presence of supersolid phase that covers both
water and ice using Raman spectroscopy measurements and quantum calculations.
In the skin of two molecular layers thick, molecular undercoordination shortens
the H-O bond by ~16% and lengthens the OH nonbond by ~25% through repulsion
between electron pairs on adjacent O atoms, which depresses the density from
0.92 for bulk ice to 0.75 gcm-3. The O:H-O cooperative relaxation stiffens the
H-O stretching phonon from 3200/3150 cm-1 to the same value of 3450 cm-1 and
raises the melting temperature of both skins by up to ~310 K. Numerical
derivatives on the viscosity and charge accumulation suggests that the elastic,
polarized, and thermally stable supersolid phase makes the ice frictionless and
water skin hydrophobic and ice like at room temperature.
|
[
{
"created": "Fri, 31 Jan 2014 02:43:58 GMT",
"version": "v1"
}
] |
2014-09-26
|
[
[
"Sun",
"Chang Q",
""
]
] |
[
-0.13481281697750092,
-0.03655149042606354,
0.03389425948262215,
0.10448577255010605,
0.0710107684135437,
0.05495298653841019,
0.046275440603494644,
0.06445702165365219,
-0.00875784456729889,
-0.025830630213022232,
-0.009599290788173676,
-0.03280090168118477,
-0.08058078587055206,
0.044146765023469925,
0.030649278312921524,
-0.004996676463633776,
0.009084419347345829,
-0.026043659076094627,
-0.036223869770765305,
0.030721241608262062,
0.09597769379615784,
-0.08724164962768555,
0.021105660125613213,
-0.03026087023317814,
0.023732716217637062,
0.10128378868103027,
0.08647080510854721,
0.01630944013595581,
0.045507628470659256,
0.0737423300743103,
0.032803311944007874,
-0.016381995752453804,
-0.019857395440340042,
0.006416488904505968,
0.03430953621864319,
-0.01356809027493,
0.0592028982937336,
-0.04383512958884239,
0.004053700249642134,
-0.08202110230922699,
0.05747394636273384,
0.036546334624290466,
-0.0034647167194634676,
0.026888582855463028,
0.060899633914232254,
-0.023942826315760612,
0.06524600088596344,
0.04659147560596466,
-0.09496868401765823,
0.013506151735782623,
-0.006391842849552631,
-0.048094552010297775,
0.018074458464980125,
0.006524424068629742,
-0.0992843434214592,
0.08348394185304642,
-0.035240840166807175,
0.009573203511536121,
0.04269802197813988,
0.05962125211954117,
-0.011243559420108795,
0.0417744480073452,
0.024053681641817093,
0.02294440008699894,
0.07147736102342606,
-0.03373982012271881,
0.036072853952646255,
0.012788641266524792,
-0.039202991873025894,
0.03535320982336998,
-0.005694072227925062,
0.07525818794965744,
0.02510892041027546,
0.017083024606108665,
0.031622692942619324,
-0.04211039841175079,
-0.06788813322782516,
0.019873078912496567,
-0.07088211178779602,
0.014646129682660103,
0.009327218867838383,
-0.09090916067361832,
0.0605272501707077,
0.07570374011993408,
-0.09770248830318451,
-0.03189403936266899,
0.047687213867902756,
-0.019502582028508186,
-0.05967949330806732,
-0.0624123215675354,
-0.03002098575234413,
0.025483930483460426,
-0.0703938752412796,
-0.06836587935686111,
0.014589941129088402,
0.10818879306316376,
0.03923584148287773,
0.0925421491265297,
-0.017923271283507347,
-0.0018021264113485813,
0.002584731439128518,
-0.024590086191892624,
-0.08122289925813675,
-0.02233402244746685,
0.020169677212834358,
-0.05743385851383209,
0.0054392386227846146,
-0.011395840905606747,
0.061523307114839554,
0.09185168892145157,
0.009873987175524235,
-0.037700604647397995,
-0.06772689521312714,
-0.021588023751974106,
-0.015055150724947453,
-0.06285987049341202,
-0.11319965124130249,
0.08934292942285538,
-0.03943440690636635,
-0.004635472781956196,
-0.030451182276010513,
0.05279182270169258,
0.02137366682291031,
0.04322490841150284,
0.02583010494709015,
0.02881227433681488,
-0.06409486383199692,
3.084452728177542e-33,
0.09847556799650192,
-0.008180816657841206,
0.0026810718700289726,
-0.057852715253829956,
0.00022240419639274478,
-0.12490031868219376,
-0.014113414101302624,
-0.017957983538508415,
-0.06875687092542648,
0.03341846913099289,
0.007423716131597757,
0.047930944710969925,
-0.012350594624876976,
-0.0227577555924654,
-0.012625396251678467,
0.035451654344797134,
-0.010947334580123425,
-0.039180878549814224,
0.022024549543857574,
0.07935589551925659,
-0.009428638033568859,
0.0035495860502123833,
0.055251844227313995,
0.07875746488571167,
-0.05378234013915062,
0.03878117725253105,
-0.024548524990677834,
-0.03127835690975189,
0.13402506709098816,
-0.01911843754351139,
0.04874379560351372,
-0.0336737334728241,
-0.0200209878385067,
0.05881712958216667,
0.07563813775777817,
0.04670499637722969,
-0.02006053365767002,
-0.03760256990790367,
0.029166987165808678,
-0.054051145911216736,
-0.024120386689901352,
-0.06373965740203857,
0.07401147484779358,
-0.022858744487166405,
-0.037998445332050323,
-0.007388880010694265,
0.0017588493647053838,
-0.041787248104810715,
-0.004760421812534332,
-0.03914431110024452,
0.00021407434542197734,
0.014223514124751091,
0.011092607863247395,
0.05033613368868828,
-0.014295857399702072,
-0.05464069917798042,
0.07998023927211761,
-0.007597360294312239,
-0.054848287254571915,
-0.028041603043675423,
-0.0039629400707781315,
-0.0819663479924202,
0.009883396327495575,
-0.007964465767145157,
-0.06590202450752258,
0.07700112462043762,
-0.07737051695585251,
0.08164089918136597,
0.022736798971891403,
-0.038456790149211884,
0.016343342140316963,
0.031595878303050995,
0.10600586235523224,
0.034524090588092804,
-0.007864351384341717,
0.0392385870218277,
0.057989414781332016,
-0.010420606471598148,
-0.022281844168901443,
0.02687203884124756,
-0.04669559746980667,
0.050003718584775925,
0.04275078326463699,
-0.032188501209020615,
-0.1239771693944931,
-0.030835090205073357,
0.010004927404224873,
0.003476861398667097,
0.03703731670975685,
0.03081345185637474,
-0.06081588938832283,
-0.1055135652422905,
0.0665220245718956,
-0.06555446237325668,
-0.07886077463626862,
-5.089289567573647e-33,
0.017862236127257347,
-0.037303220480680466,
-0.05613735318183899,
0.015359542332589626,
0.03683294728398323,
0.02587967738509178,
0.010437139309942722,
0.06570012122392654,
0.0208794753998518,
-0.07515659183263779,
0.10288389772176743,
-0.09452008455991745,
0.008054426871240139,
-0.03362656012177467,
0.06262091547250748,
0.06413065642118454,
-0.07585541158914566,
0.02138325572013855,
0.11146296560764313,
-0.04467066377401352,
0.0009480344015173614,
0.01056149136275053,
0.046390414237976074,
0.09158967435359955,
0.07686109840869904,
-0.021086493507027626,
0.06386265158653259,
-0.04812059924006462,
0.016419168561697006,
0.03620800003409386,
-0.011818954721093178,
-0.04909903556108475,
-0.027996879070997238,
-0.02940303273499012,
-0.04954357445240021,
0.07853961735963821,
0.002338462509214878,
-0.017602378502488136,
-0.1050819456577301,
-0.03965630382299423,
0.051553402096033096,
-0.17533370852470398,
0.017175406217575073,
0.07865418493747711,
0.07393686473369598,
0.10023890435695648,
-0.10778501629829407,
-0.03166306018829346,
-0.03411480039358139,
-0.00980977900326252,
0.025933070108294487,
-0.01143559254705906,
-0.03213021159172058,
-0.04938293248414993,
0.02426300197839737,
-0.0026454185135662556,
-0.0918835923075676,
0.06542044132947922,
-0.03061121515929699,
-0.035947348922491074,
0.0682571604847908,
-0.03289375081658363,
-0.0372132807970047,
0.010806729085743427,
-0.07431521266698837,
-0.03671891614794731,
-0.06046551465988159,
-0.0005706821684725583,
-0.029919544234871864,
-0.07464855164289474,
0.010505639016628265,
-0.04099321737885475,
0.016842981800436974,
0.030979759991168976,
0.018766256049275398,
-0.01123848371207714,
0.0024430605117231607,
-0.10447248816490173,
-0.053151801228523254,
0.022794367745518684,
-0.006604656111449003,
0.11251415312290192,
-0.09230953454971313,
-0.02607565000653267,
0.09048347920179367,
0.032229043543338776,
0.03168332576751709,
0.074581079185009,
-0.05761433020234108,
-0.0004273860831744969,
0.009198694489896297,
-0.0049890195950865746,
-0.001363874413073063,
-0.016187181696295738,
-0.0063943760469555855,
-4.7744617148737234e-8,
0.028581364080309868,
0.027817239984869957,
0.0888197124004364,
-0.021598249673843384,
0.009307442232966423,
0.05623360350728035,
0.013179372996091843,
-0.01331113837659359,
-0.021212486550211906,
-0.015302425250411034,
-0.03768539056181908,
-0.05308084189891815,
-0.0068113612942397594,
0.0136909494176507,
-0.03987922519445419,
-0.019746100530028343,
-0.0032462922390550375,
-0.016421375796198845,
-0.017650701105594635,
-0.07474656403064728,
-0.04622183367609978,
-0.02370545081794262,
0.017804043367505074,
-0.06101158633828163,
-0.00020623889577109367,
-0.027444997802376747,
-0.0047169956378638744,
0.014139888808131218,
-0.0676465556025505,
-0.031637951731681824,
-0.14415514469146729,
-0.046005163341760635,
0.03959139063954353,
0.06078982353210449,
0.03998670354485512,
-0.003519756020978093,
-0.01136140525341034,
0.038881558924913406,
-0.012124578468501568,
0.032574769109487534,
-0.007157856598496437,
0.027486924082040787,
-0.042873118072748184,
0.03332659974694252,
0.03319618105888367,
0.006756961811333895,
-0.03938406705856323,
0.024813752621412277,
0.027913622558116913,
0.09613633900880814,
-0.0401604101061821,
0.01069454476237297,
-0.023530734702944756,
-0.004923167172819376,
-0.017902512103319168,
0.020482897758483887,
-0.08427808433771133,
0.02289196290075779,
-0.04383016377687454,
0.0556182935833931,
0.06549693644046783,
-0.08657936006784439,
-0.03723243996500969,
0.06230144575238228
] | null | null | null | null | null | null | null |
[
-0.13481281697750092,
-0.03655149042606354,
0.03389425948262215,
0.10448577255010605,
0.0710107684135437,
0.05495298653841019,
0.046275440603494644,
0.06445702165365219,
-0.00875784456729889,
-0.025830630213022232,
-0.009599290788173676,
-0.03280090168118477,
-0.08058078587055206,
0.044146765023469925,
0.030649278312921524,
-0.004996676463633776,
0.009084419347345829,
-0.026043659076094627,
-0.036223869770765305,
0.030721241608262062,
0.09597769379615784,
-0.08724164962768555,
0.021105660125613213,
-0.03026087023317814,
0.023732716217637062,
0.10128378868103027,
0.08647080510854721,
0.01630944013595581,
0.045507628470659256,
0.0737423300743103,
0.032803311944007874,
-0.016381995752453804,
-0.019857395440340042,
0.006416488904505968,
0.03430953621864319,
-0.01356809027493,
0.0592028982937336,
-0.04383512958884239,
0.004053700249642134,
-0.08202110230922699,
0.05747394636273384,
0.036546334624290466,
-0.0034647167194634676,
0.026888582855463028,
0.060899633914232254,
-0.023942826315760612,
0.06524600088596344,
0.04659147560596466,
-0.09496868401765823,
0.013506151735782623,
-0.006391842849552631,
-0.048094552010297775,
0.018074458464980125,
0.006524424068629742,
-0.0992843434214592,
0.08348394185304642,
-0.035240840166807175,
0.009573203511536121,
0.04269802197813988,
0.05962125211954117,
-0.011243559420108795,
0.0417744480073452,
0.024053681641817093,
0.02294440008699894,
0.07147736102342606,
-0.03373982012271881,
0.036072853952646255,
0.012788641266524792,
-0.039202991873025894,
0.03535320982336998,
-0.005694072227925062,
0.07525818794965744,
0.02510892041027546,
0.017083024606108665,
0.031622692942619324,
-0.04211039841175079,
-0.06788813322782516,
0.019873078912496567,
-0.07088211178779602,
0.014646129682660103,
0.009327218867838383,
-0.09090916067361832,
0.0605272501707077,
0.07570374011993408,
-0.09770248830318451,
-0.03189403936266899,
0.047687213867902756,
-0.019502582028508186,
-0.05967949330806732,
-0.0624123215675354,
-0.03002098575234413,
0.025483930483460426,
-0.0703938752412796,
-0.06836587935686111,
0.014589941129088402,
0.10818879306316376,
0.03923584148287773,
0.0925421491265297,
-0.017923271283507347,
-0.0018021264113485813,
0.002584731439128518,
-0.024590086191892624,
-0.08122289925813675,
-0.02233402244746685,
0.020169677212834358,
-0.05743385851383209,
0.0054392386227846146,
-0.011395840905606747,
0.061523307114839554,
0.09185168892145157,
0.009873987175524235,
-0.037700604647397995,
-0.06772689521312714,
-0.021588023751974106,
-0.015055150724947453,
-0.06285987049341202,
-0.11319965124130249,
0.08934292942285538,
-0.03943440690636635,
-0.004635472781956196,
-0.030451182276010513,
0.05279182270169258,
0.02137366682291031,
0.04322490841150284,
0.02583010494709015,
0.02881227433681488,
-0.06409486383199692,
3.084452728177542e-33,
0.09847556799650192,
-0.008180816657841206,
0.0026810718700289726,
-0.057852715253829956,
0.00022240419639274478,
-0.12490031868219376,
-0.014113414101302624,
-0.017957983538508415,
-0.06875687092542648,
0.03341846913099289,
0.007423716131597757,
0.047930944710969925,
-0.012350594624876976,
-0.0227577555924654,
-0.012625396251678467,
0.035451654344797134,
-0.010947334580123425,
-0.039180878549814224,
0.022024549543857574,
0.07935589551925659,
-0.009428638033568859,
0.0035495860502123833,
0.055251844227313995,
0.07875746488571167,
-0.05378234013915062,
0.03878117725253105,
-0.024548524990677834,
-0.03127835690975189,
0.13402506709098816,
-0.01911843754351139,
0.04874379560351372,
-0.0336737334728241,
-0.0200209878385067,
0.05881712958216667,
0.07563813775777817,
0.04670499637722969,
-0.02006053365767002,
-0.03760256990790367,
0.029166987165808678,
-0.054051145911216736,
-0.024120386689901352,
-0.06373965740203857,
0.07401147484779358,
-0.022858744487166405,
-0.037998445332050323,
-0.007388880010694265,
0.0017588493647053838,
-0.041787248104810715,
-0.004760421812534332,
-0.03914431110024452,
0.00021407434542197734,
0.014223514124751091,
0.011092607863247395,
0.05033613368868828,
-0.014295857399702072,
-0.05464069917798042,
0.07998023927211761,
-0.007597360294312239,
-0.054848287254571915,
-0.028041603043675423,
-0.0039629400707781315,
-0.0819663479924202,
0.009883396327495575,
-0.007964465767145157,
-0.06590202450752258,
0.07700112462043762,
-0.07737051695585251,
0.08164089918136597,
0.022736798971891403,
-0.038456790149211884,
0.016343342140316963,
0.031595878303050995,
0.10600586235523224,
0.034524090588092804,
-0.007864351384341717,
0.0392385870218277,
0.057989414781332016,
-0.010420606471598148,
-0.022281844168901443,
0.02687203884124756,
-0.04669559746980667,
0.050003718584775925,
0.04275078326463699,
-0.032188501209020615,
-0.1239771693944931,
-0.030835090205073357,
0.010004927404224873,
0.003476861398667097,
0.03703731670975685,
0.03081345185637474,
-0.06081588938832283,
-0.1055135652422905,
0.0665220245718956,
-0.06555446237325668,
-0.07886077463626862,
-5.089289567573647e-33,
0.017862236127257347,
-0.037303220480680466,
-0.05613735318183899,
0.015359542332589626,
0.03683294728398323,
0.02587967738509178,
0.010437139309942722,
0.06570012122392654,
0.0208794753998518,
-0.07515659183263779,
0.10288389772176743,
-0.09452008455991745,
0.008054426871240139,
-0.03362656012177467,
0.06262091547250748,
0.06413065642118454,
-0.07585541158914566,
0.02138325572013855,
0.11146296560764313,
-0.04467066377401352,
0.0009480344015173614,
0.01056149136275053,
0.046390414237976074,
0.09158967435359955,
0.07686109840869904,
-0.021086493507027626,
0.06386265158653259,
-0.04812059924006462,
0.016419168561697006,
0.03620800003409386,
-0.011818954721093178,
-0.04909903556108475,
-0.027996879070997238,
-0.02940303273499012,
-0.04954357445240021,
0.07853961735963821,
0.002338462509214878,
-0.017602378502488136,
-0.1050819456577301,
-0.03965630382299423,
0.051553402096033096,
-0.17533370852470398,
0.017175406217575073,
0.07865418493747711,
0.07393686473369598,
0.10023890435695648,
-0.10778501629829407,
-0.03166306018829346,
-0.03411480039358139,
-0.00980977900326252,
0.025933070108294487,
-0.01143559254705906,
-0.03213021159172058,
-0.04938293248414993,
0.02426300197839737,
-0.0026454185135662556,
-0.0918835923075676,
0.06542044132947922,
-0.03061121515929699,
-0.035947348922491074,
0.0682571604847908,
-0.03289375081658363,
-0.0372132807970047,
0.010806729085743427,
-0.07431521266698837,
-0.03671891614794731,
-0.06046551465988159,
-0.0005706821684725583,
-0.029919544234871864,
-0.07464855164289474,
0.010505639016628265,
-0.04099321737885475,
0.016842981800436974,
0.030979759991168976,
0.018766256049275398,
-0.01123848371207714,
0.0024430605117231607,
-0.10447248816490173,
-0.053151801228523254,
0.022794367745518684,
-0.006604656111449003,
0.11251415312290192,
-0.09230953454971313,
-0.02607565000653267,
0.09048347920179367,
0.032229043543338776,
0.03168332576751709,
0.074581079185009,
-0.05761433020234108,
-0.0004273860831744969,
0.009198694489896297,
-0.0049890195950865746,
-0.001363874413073063,
-0.016187181696295738,
-0.0063943760469555855,
-4.7744617148737234e-8,
0.028581364080309868,
0.027817239984869957,
0.0888197124004364,
-0.021598249673843384,
0.009307442232966423,
0.05623360350728035,
0.013179372996091843,
-0.01331113837659359,
-0.021212486550211906,
-0.015302425250411034,
-0.03768539056181908,
-0.05308084189891815,
-0.0068113612942397594,
0.0136909494176507,
-0.03987922519445419,
-0.019746100530028343,
-0.0032462922390550375,
-0.016421375796198845,
-0.017650701105594635,
-0.07474656403064728,
-0.04622183367609978,
-0.02370545081794262,
0.017804043367505074,
-0.06101158633828163,
-0.00020623889577109367,
-0.027444997802376747,
-0.0047169956378638744,
0.014139888808131218,
-0.0676465556025505,
-0.031637951731681824,
-0.14415514469146729,
-0.046005163341760635,
0.03959139063954353,
0.06078982353210449,
0.03998670354485512,
-0.003519756020978093,
-0.01136140525341034,
0.038881558924913406,
-0.012124578468501568,
0.032574769109487534,
-0.007157856598496437,
0.027486924082040787,
-0.042873118072748184,
0.03332659974694252,
0.03319618105888367,
0.006756961811333895,
-0.03938406705856323,
0.024813752621412277,
0.027913622558116913,
0.09613633900880814,
-0.0401604101061821,
0.01069454476237297,
-0.023530734702944756,
-0.004923167172819376,
-0.017902512103319168,
0.020482897758483887,
-0.08427808433771133,
0.02289196290075779,
-0.04383016377687454,
0.0556182935833931,
0.06549693644046783,
-0.08657936006784439,
-0.03723243996500969,
0.06230144575238228
] |
1401.8046
|
Nerio Borges
|
Nerio Borges (Universidad Sim\'on Bol\'ivar), Blai Bonet (Universidad
Sim\'on Bol\'ivar)
|
Universal First-Order Logic is Superfluous for NL, P, NP and coNP
| null |
Logical Methods in Computer Science, Volume 10, Issue 1 (March 3,
2014) lmcs:1011
|
10.2168/LMCS-10(1:15)2014
| null |
cs.LO cs.CC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we continue the syntactic study of completeness that began with
the works of Immerman and Medina. In particular, we take a conjecture raised by
Medina in his dissertation that says if a conjunction of a second-order and a
first-order sentences defines an NP-complete problems via fops, then it must be
the case that the second-order conjoint alone also defines a NP-complete
problem. Although this claim looks very plausible and intuitive, currently we
cannot provide a definite answer for it. However, we can solve in the
affirmative a weaker claim that says that all ``consistent'' universal
first-order sentences can be safely eliminated without the fear of losing
completeness. Our methods are quite general and can be applied to complexity
classes other than NP (in this paper: to NLSPACE, PTIME, and coNP), provided
the class has a complete problem satisfying a certain combinatorial property.
|
[
{
"created": "Fri, 31 Jan 2014 02:44:45 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 2014 09:03:06 GMT",
"version": "v2"
}
] |
2015-07-01
|
[
[
"Borges",
"Nerio",
"",
"Universidad Simón Bolívar"
],
[
"Bonet",
"Blai",
"",
"Universidad\n Simón Bolívar"
]
] |
[
-0.06448416411876678,
-0.003828610060736537,
0.0992579311132431,
0.015526040457189083,
0.03317800909280777,
-0.019040267914533615,
0.03509866073727608,
-0.06644252687692642,
0.00904383510351181,
0.08882422000169754,
-0.025786662474274635,
0.003592744469642639,
-0.018177838996052742,
0.05369976907968521,
0.05033626779913902,
0.020464185625314713,
0.01624997891485691,
0.05462329462170601,
-0.004563487600535154,
-0.01820654794573784,
-0.03423377871513367,
0.03194241598248482,
-0.03736831620335579,
-0.04317883774638176,
-0.07594075053930283,
0.038172394037246704,
-0.027109811082482338,
-0.031278934329748154,
0.04811137542128563,
0.025133345276117325,
-0.0950455442070961,
-0.032136816531419754,
0.024379225447773933,
0.09465010464191437,
0.033979382365942,
0.06518842279911041,
0.03392532095313072,
-0.03474466875195503,
0.02023325487971306,
0.045177657157182693,
-0.002378500532358885,
0.03885906934738159,
0.018494311720132828,
-0.015861786901950836,
0.04414341226220131,
-0.004137216601520777,
0.013252975419163704,
-0.028213635087013245,
-0.06984969228506088,
-0.06317421048879623,
-0.06851819157600403,
-0.023175373673439026,
-0.05159643664956093,
0.0016020865878090262,
0.04790692776441574,
0.03309193253517151,
-0.008142971433699131,
0.018802551552653313,
-0.08033081889152527,
-0.06813357770442963,
-0.0372425876557827,
-0.048792608082294464,
-0.10610319674015045,
-0.025072742253541946,
0.0956442579627037,
0.0008930230978876352,
0.041715290397405624,
-0.01038267370313406,
0.0007987365243025124,
0.165058895945549,
0.026637714356184006,
0.05086054652929306,
-0.014737692661583424,
0.10993487387895584,
-0.0399869903922081,
0.07859965413808823,
0.1354559361934662,
0.023645808920264244,
-0.007697447203099728,
0.06243818625807762,
-0.06128949299454689,
-0.02891995571553707,
0.01905839331448078,
-0.006536702159792185,
0.07437273114919662,
-0.02791610360145569,
-0.03602856025099754,
-0.005758726503700018,
-0.02983657270669937,
0.05621802434325218,
-0.1765274703502655,
-0.09152757376432419,
0.008505980484187603,
0.030820289626717567,
0.0415763221681118,
0.042101942002773285,
0.03332310914993286,
-0.0025152110029011965,
0.03488267958164215,
0.02482975460588932,
0.018201224505901337,
0.0669550970196724,
0.04623342677950859,
-0.10332205146551132,
-0.013679774478077888,
0.009879331104457378,
-0.011280111037194729,
-0.08063540607690811,
-0.021762665361166,
-0.07752709090709686,
-0.02021992765367031,
-0.04287780448794365,
0.018985416740179062,
-0.012265907600522041,
-0.015714313834905624,
-0.0037598051130771637,
-0.017519909888505936,
-0.0544128492474556,
0.1327364593744278,
-0.05262603983283043,
0.05128418281674385,
0.023340070620179176,
0.04461025446653366,
0.021477680653333664,
0.061226971447467804,
-0.027283623814582825,
0.08131717145442963,
9.319134623971818e-34,
-0.010383636690676212,
0.1079624816775322,
0.017328772693872452,
0.016002222895622253,
0.05862324312329292,
0.0806230828166008,
-0.012289448641240597,
0.013270867988467216,
-0.06993987411260605,
0.07720506191253662,
0.028150169178843498,
-0.03671414032578468,
-0.019121447578072548,
0.00874942634254694,
0.055131588131189346,
0.019624140113592148,
0.05202792212367058,
0.027235517278313637,
-0.0007758926949463785,
-0.02957349456846714,
0.09882023930549622,
0.019843721762299538,
-0.017030244693160057,
-0.008490867912769318,
-0.021678077057003975,
-0.03083960711956024,
0.076836958527565,
-0.06747409701347351,
0.008361916989088058,
0.0038579616229981184,
-0.0683370903134346,
-0.013833021745085716,
0.0025374088436365128,
0.11305490881204605,
-0.04960176721215248,
-0.04606887698173523,
-0.039515815675258636,
-0.0564422644674778,
-0.010103479027748108,
-0.041872914880514145,
-0.018314361572265625,
0.09750333428382874,
0.0118316151201725,
0.015454886481165886,
-0.03749934211373329,
-0.0635734498500824,
-0.02299131266772747,
0.02060849778354168,
0.045567143708467484,
-0.0022355467081069946,
-0.013995634391903877,
0.0029119248501956463,
-0.014475208707153797,
-0.05008388310670853,
0.059052251279354095,
-0.023974714800715446,
-0.03223395347595215,
0.03471607342362404,
-0.01765960268676281,
0.08357888460159302,
0.021916188299655914,
-0.028687594458460808,
0.012484797276556492,
0.003485155524685979,
-0.011367390863597393,
0.02986907958984375,
-0.06007125601172447,
-0.03655272722244263,
0.12734127044677734,
-0.008486476726830006,
-0.01232309453189373,
-0.005358117166906595,
-0.07343075424432755,
-0.02744312398135662,
0.12654802203178406,
0.011375372298061848,
0.04196585714817047,
-0.13154451549053192,
-0.008951744996011257,
-0.004435747396200895,
-0.05805198848247528,
-0.04514466971158981,
0.07446373999118805,
0.022667214274406433,
-0.09478264302015305,
-0.04996471479535103,
0.022326601669192314,
0.03956088796257973,
0.0025938276667147875,
-0.059622105211019516,
-0.009337796829640865,
0.00026919093215838075,
0.02941652573645115,
-0.013982590287923813,
-0.024478204548358917,
-2.5766540459726913e-33,
-0.046854015439748764,
-0.005073794163763523,
-0.07056067138910294,
0.025005461648106575,
-0.02874455600976944,
-0.07593613862991333,
-0.07039624452590942,
-0.08100337535142899,
-0.00008077795791905373,
-0.048133932054042816,
0.013925602659583092,
-0.05041375383734703,
0.09276670962572098,
-0.03219286724925041,
-0.002129176864400506,
-0.0044318330474197865,
-0.038692522794008255,
-0.04665948823094368,
0.01821841485798359,
0.06370233744382858,
0.11927668005228043,
0.007762263994663954,
-0.01610373519361019,
-0.016112975776195526,
0.03560469299554825,
0.0579131543636322,
-0.13365939259529114,
0.04056621342897415,
-0.0671803429722786,
0.0841546282172203,
0.030244696885347366,
-0.04381890594959259,
-0.10003159940242767,
-0.05071914196014404,
-0.03073580004274845,
-0.00410353671759367,
0.0017164928140118718,
0.07391534745693207,
-0.03168713301420212,
0.08336756378412247,
0.0678883045911789,
-0.058308497071266174,
-0.04570692777633667,
0.017654795199632645,
-0.00007448247924912721,
-0.049063220620155334,
-0.049058642238378525,
-0.01480131596326828,
0.005460869520902634,
0.0037000966258347034,
-0.04746474325656891,
0.026284487918019295,
-0.02976713329553604,
-0.0076333279721438885,
0.025704694911837578,
0.030964411795139313,
-0.027069857344031334,
0.008261674083769321,
-0.024999290704727173,
-0.0249076709151268,
-0.028765292838215828,
0.044115498661994934,
0.005187870003283024,
0.06429334729909897,
0.0639006495475769,
-0.03671024367213249,
-0.039677295833826065,
0.009815615601837635,
0.032365087419748306,
-0.0020804901141673326,
-0.05679112672805786,
0.019767286255955696,
-0.12732313573360443,
0.042632900178432465,
-0.005779337137937546,
0.008068753406405449,
0.10504734516143799,
0.02587089315056801,
-0.011052023619413376,
0.0011958316899836063,
0.08013081550598145,
-0.004031724762171507,
0.07862592488527298,
0.03391798958182335,
-0.022115353494882584,
0.015480074100196362,
0.05694269761443138,
-0.00990589801222086,
0.04302138462662697,
0.04144043102860451,
-0.0035879090428352356,
0.05250633507966995,
0.0066232867538928986,
0.016783947125077248,
-0.03464599698781967,
-5.102627653741365e-8,
-0.08799424022436142,
-0.02713247761130333,
-0.10669683665037155,
0.06124240532517433,
0.03454480320215225,
-0.07035088539123535,
-0.06346149742603302,
0.042773932218551636,
-0.03174291178584099,
0.05145353451371193,
-0.04384889081120491,
0.09925436973571777,
0.03798307850956917,
-0.033810995519161224,
-0.07788679748773575,
0.014516365714371204,
-0.008744616061449051,
-0.07204172760248184,
-0.039432816207408905,
0.007667272351682186,
-0.033746495842933655,
0.01778295449912548,
-0.06602481752634048,
0.050651490688323975,
-0.018136901780962944,
0.030812937766313553,
0.056558817625045776,
-0.016009019687771797,
0.021909577772021294,
0.13769066333770752,
-0.0017574623925611377,
0.04898637533187866,
0.02523794025182724,
-0.042850788682699203,
0.003574584610760212,
0.04159346967935562,
-0.024200785905122757,
0.013476893305778503,
-0.06989382952451706,
-0.11652468889951706,
0.025711501017212868,
0.02892688661813736,
-0.11146504431962967,
0.06405796855688095,
0.06362319737672806,
-0.064431332051754,
-0.058153390884399414,
-0.08195134252309799,
0.0041018761694431305,
-0.01275862567126751,
-0.035352107137441635,
0.0564289353787899,
-0.01656482368707657,
0.003914669156074524,
0.0014881102833896875,
0.03530045226216316,
-0.04969985410571098,
-0.046269387006759644,
-0.013666193000972271,
-0.043147094547748566,
0.0567411333322525,
0.07040389627218246,
0.05135258287191391,
-0.021677222102880478
] | null | null | null | null | null | null | null |
[
-0.06448416411876678,
-0.003828610060736537,
0.0992579311132431,
0.015526040457189083,
0.03317800909280777,
-0.019040267914533615,
0.03509866073727608,
-0.06644252687692642,
0.00904383510351181,
0.08882422000169754,
-0.025786662474274635,
0.003592744469642639,
-0.018177838996052742,
0.05369976907968521,
0.05033626779913902,
0.020464185625314713,
0.01624997891485691,
0.05462329462170601,
-0.004563487600535154,
-0.01820654794573784,
-0.03423377871513367,
0.03194241598248482,
-0.03736831620335579,
-0.04317883774638176,
-0.07594075053930283,
0.038172394037246704,
-0.027109811082482338,
-0.031278934329748154,
0.04811137542128563,
0.025133345276117325,
-0.0950455442070961,
-0.032136816531419754,
0.024379225447773933,
0.09465010464191437,
0.033979382365942,
0.06518842279911041,
0.03392532095313072,
-0.03474466875195503,
0.02023325487971306,
0.045177657157182693,
-0.002378500532358885,
0.03885906934738159,
0.018494311720132828,
-0.015861786901950836,
0.04414341226220131,
-0.004137216601520777,
0.013252975419163704,
-0.028213635087013245,
-0.06984969228506088,
-0.06317421048879623,
-0.06851819157600403,
-0.023175373673439026,
-0.05159643664956093,
0.0016020865878090262,
0.04790692776441574,
0.03309193253517151,
-0.008142971433699131,
0.018802551552653313,
-0.08033081889152527,
-0.06813357770442963,
-0.0372425876557827,
-0.048792608082294464,
-0.10610319674015045,
-0.025072742253541946,
0.0956442579627037,
0.0008930230978876352,
0.041715290397405624,
-0.01038267370313406,
0.0007987365243025124,
0.165058895945549,
0.026637714356184006,
0.05086054652929306,
-0.014737692661583424,
0.10993487387895584,
-0.0399869903922081,
0.07859965413808823,
0.1354559361934662,
0.023645808920264244,
-0.007697447203099728,
0.06243818625807762,
-0.06128949299454689,
-0.02891995571553707,
0.01905839331448078,
-0.006536702159792185,
0.07437273114919662,
-0.02791610360145569,
-0.03602856025099754,
-0.005758726503700018,
-0.02983657270669937,
0.05621802434325218,
-0.1765274703502655,
-0.09152757376432419,
0.008505980484187603,
0.030820289626717567,
0.0415763221681118,
0.042101942002773285,
0.03332310914993286,
-0.0025152110029011965,
0.03488267958164215,
0.02482975460588932,
0.018201224505901337,
0.0669550970196724,
0.04623342677950859,
-0.10332205146551132,
-0.013679774478077888,
0.009879331104457378,
-0.011280111037194729,
-0.08063540607690811,
-0.021762665361166,
-0.07752709090709686,
-0.02021992765367031,
-0.04287780448794365,
0.018985416740179062,
-0.012265907600522041,
-0.015714313834905624,
-0.0037598051130771637,
-0.017519909888505936,
-0.0544128492474556,
0.1327364593744278,
-0.05262603983283043,
0.05128418281674385,
0.023340070620179176,
0.04461025446653366,
0.021477680653333664,
0.061226971447467804,
-0.027283623814582825,
0.08131717145442963,
9.319134623971818e-34,
-0.010383636690676212,
0.1079624816775322,
0.017328772693872452,
0.016002222895622253,
0.05862324312329292,
0.0806230828166008,
-0.012289448641240597,
0.013270867988467216,
-0.06993987411260605,
0.07720506191253662,
0.028150169178843498,
-0.03671414032578468,
-0.019121447578072548,
0.00874942634254694,
0.055131588131189346,
0.019624140113592148,
0.05202792212367058,
0.027235517278313637,
-0.0007758926949463785,
-0.02957349456846714,
0.09882023930549622,
0.019843721762299538,
-0.017030244693160057,
-0.008490867912769318,
-0.021678077057003975,
-0.03083960711956024,
0.076836958527565,
-0.06747409701347351,
0.008361916989088058,
0.0038579616229981184,
-0.0683370903134346,
-0.013833021745085716,
0.0025374088436365128,
0.11305490881204605,
-0.04960176721215248,
-0.04606887698173523,
-0.039515815675258636,
-0.0564422644674778,
-0.010103479027748108,
-0.041872914880514145,
-0.018314361572265625,
0.09750333428382874,
0.0118316151201725,
0.015454886481165886,
-0.03749934211373329,
-0.0635734498500824,
-0.02299131266772747,
0.02060849778354168,
0.045567143708467484,
-0.0022355467081069946,
-0.013995634391903877,
0.0029119248501956463,
-0.014475208707153797,
-0.05008388310670853,
0.059052251279354095,
-0.023974714800715446,
-0.03223395347595215,
0.03471607342362404,
-0.01765960268676281,
0.08357888460159302,
0.021916188299655914,
-0.028687594458460808,
0.012484797276556492,
0.003485155524685979,
-0.011367390863597393,
0.02986907958984375,
-0.06007125601172447,
-0.03655272722244263,
0.12734127044677734,
-0.008486476726830006,
-0.01232309453189373,
-0.005358117166906595,
-0.07343075424432755,
-0.02744312398135662,
0.12654802203178406,
0.011375372298061848,
0.04196585714817047,
-0.13154451549053192,
-0.008951744996011257,
-0.004435747396200895,
-0.05805198848247528,
-0.04514466971158981,
0.07446373999118805,
0.022667214274406433,
-0.09478264302015305,
-0.04996471479535103,
0.022326601669192314,
0.03956088796257973,
0.0025938276667147875,
-0.059622105211019516,
-0.009337796829640865,
0.00026919093215838075,
0.02941652573645115,
-0.013982590287923813,
-0.024478204548358917,
-2.5766540459726913e-33,
-0.046854015439748764,
-0.005073794163763523,
-0.07056067138910294,
0.025005461648106575,
-0.02874455600976944,
-0.07593613862991333,
-0.07039624452590942,
-0.08100337535142899,
-0.00008077795791905373,
-0.048133932054042816,
0.013925602659583092,
-0.05041375383734703,
0.09276670962572098,
-0.03219286724925041,
-0.002129176864400506,
-0.0044318330474197865,
-0.038692522794008255,
-0.04665948823094368,
0.01821841485798359,
0.06370233744382858,
0.11927668005228043,
0.007762263994663954,
-0.01610373519361019,
-0.016112975776195526,
0.03560469299554825,
0.0579131543636322,
-0.13365939259529114,
0.04056621342897415,
-0.0671803429722786,
0.0841546282172203,
0.030244696885347366,
-0.04381890594959259,
-0.10003159940242767,
-0.05071914196014404,
-0.03073580004274845,
-0.00410353671759367,
0.0017164928140118718,
0.07391534745693207,
-0.03168713301420212,
0.08336756378412247,
0.0678883045911789,
-0.058308497071266174,
-0.04570692777633667,
0.017654795199632645,
-0.00007448247924912721,
-0.049063220620155334,
-0.049058642238378525,
-0.01480131596326828,
0.005460869520902634,
0.0037000966258347034,
-0.04746474325656891,
0.026284487918019295,
-0.02976713329553604,
-0.0076333279721438885,
0.025704694911837578,
0.030964411795139313,
-0.027069857344031334,
0.008261674083769321,
-0.024999290704727173,
-0.0249076709151268,
-0.028765292838215828,
0.044115498661994934,
0.005187870003283024,
0.06429334729909897,
0.0639006495475769,
-0.03671024367213249,
-0.039677295833826065,
0.009815615601837635,
0.032365087419748306,
-0.0020804901141673326,
-0.05679112672805786,
0.019767286255955696,
-0.12732313573360443,
0.042632900178432465,
-0.005779337137937546,
0.008068753406405449,
0.10504734516143799,
0.02587089315056801,
-0.011052023619413376,
0.0011958316899836063,
0.08013081550598145,
-0.004031724762171507,
0.07862592488527298,
0.03391798958182335,
-0.022115353494882584,
0.015480074100196362,
0.05694269761443138,
-0.00990589801222086,
0.04302138462662697,
0.04144043102860451,
-0.0035879090428352356,
0.05250633507966995,
0.0066232867538928986,
0.016783947125077248,
-0.03464599698781967,
-5.102627653741365e-8,
-0.08799424022436142,
-0.02713247761130333,
-0.10669683665037155,
0.06124240532517433,
0.03454480320215225,
-0.07035088539123535,
-0.06346149742603302,
0.042773932218551636,
-0.03174291178584099,
0.05145353451371193,
-0.04384889081120491,
0.09925436973571777,
0.03798307850956917,
-0.033810995519161224,
-0.07788679748773575,
0.014516365714371204,
-0.008744616061449051,
-0.07204172760248184,
-0.039432816207408905,
0.007667272351682186,
-0.033746495842933655,
0.01778295449912548,
-0.06602481752634048,
0.050651490688323975,
-0.018136901780962944,
0.030812937766313553,
0.056558817625045776,
-0.016009019687771797,
0.021909577772021294,
0.13769066333770752,
-0.0017574623925611377,
0.04898637533187866,
0.02523794025182724,
-0.042850788682699203,
0.003574584610760212,
0.04159346967935562,
-0.024200785905122757,
0.013476893305778503,
-0.06989382952451706,
-0.11652468889951706,
0.025711501017212868,
0.02892688661813736,
-0.11146504431962967,
0.06405796855688095,
0.06362319737672806,
-0.064431332051754,
-0.058153390884399414,
-0.08195134252309799,
0.0041018761694431305,
-0.01275862567126751,
-0.035352107137441635,
0.0564289353787899,
-0.01656482368707657,
0.003914669156074524,
0.0014881102833896875,
0.03530045226216316,
-0.04969985410571098,
-0.046269387006759644,
-0.013666193000972271,
-0.043147094547748566,
0.0567411333322525,
0.07040389627218246,
0.05135258287191391,
-0.021677222102880478
] |
1401.8048
|
Edward Witten
|
Edward Witten
|
A Note On Einstein, Bergmann, and the Fifth Dimension
|
8 pp
| null | null | null |
physics.hist-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This note is devoted to a detail concerning the work of Albert Einstein and
Peter Bergmann on unified theories of electromagnetism and gravitation in five
dimensions. In their paper of 1938, Einstein and Bergmann were among the first
to introduce the modern viewpoint in which a four-dimensional theory that
coincides with Einstein-Maxwell theory at long distances is derived from a
five-dimensional theory with complete symmetry among all five dimensions. But
then they drew back, modifying the theory in a way that spoiled the
five-dimensional symmetry and looks contrived to modern readers. Why? According
to correspondence of Peter Bergmann with the author, the reason was that the
more symmetric version of the theory predicts the existence of a new long range
field (a massless scalar field). In 1938, Einstein and Bergmann did not wish to
make this prediction. (Based on a lecture at the Einstein Centennial
Celebration at the Library of Alexandria, June, 2005.
|
[
{
"created": "Fri, 31 Jan 2014 02:50:34 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Witten",
"Edward",
""
]
] |
[
-0.02194259501993656,
0.010920087806880474,
0.02157760038971901,
0.015388970263302326,
0.034607406705617905,
0.054907944053411484,
-0.09577628970146179,
0.02012774348258972,
0.02678855136036873,
-0.0481300912797451,
0.042815856635570526,
0.08773009479045868,
-0.08193281292915344,
0.019477466121315956,
0.020929742604494095,
-0.04447052255272865,
-0.05092722177505493,
0.01020503044128418,
-0.12338603287935257,
0.01302812434732914,
-0.06861129403114319,
-0.05770198628306389,
0.0023448977153748274,
-0.0027985540218651295,
0.04996771737933159,
-0.05596578121185303,
0.09263083338737488,
-0.05827174335718155,
-0.09611556679010391,
-0.006801812909543514,
0.04621375352144241,
0.07907451689243317,
0.011427056975662708,
-0.00007353111141128466,
-0.050164803862571716,
0.03863174095749855,
0.04006529226899147,
0.016918353736400604,
0.0364530049264431,
0.01904795691370964,
-0.00380221800878644,
-0.019883373752236366,
0.00838455744087696,
0.10196711868047714,
-0.03957456722855568,
-0.021663278341293335,
0.03226037323474884,
-0.09359756112098694,
0.043993234634399414,
-0.011166193522512913,
0.018203962594270706,
0.06873202323913574,
-0.03071579709649086,
-0.05288136377930641,
0.062479760497808456,
-0.07311715185642242,
-0.049207791686058044,
0.009095483459532261,
-0.014728563837707043,
-0.02365083433687687,
0.007944508455693722,
-0.05145026743412018,
0.007950839586555958,
-0.05244356393814087,
0.006854531820863485,
0.021513735875487328,
-0.044248901307582855,
-0.043979186564683914,
-0.08112304657697678,
0.04395729675889015,
-0.007179523818194866,
0.0003755286452360451,
-0.11482842266559601,
-0.02327081747353077,
0.03376114368438721,
0.038639817386865616,
0.030141497030854225,
0.04922318086028099,
0.02131682261824608,
-0.008599505759775639,
-0.023214122280478477,
0.06062069907784462,
-0.047503817826509476,
-0.08477159589529037,
-0.04065895825624466,
-0.0006116910954006016,
-0.002439605537801981,
-0.0660262405872345,
-0.01171966828405857,
-0.07365765422582626,
0.12714913487434387,
-0.07327848672866821,
-0.11010053008794785,
-0.0605538934469223,
-0.0056930347345769405,
0.0321173258125782,
-0.09874667227268219,
0.003757280297577381,
0.013751116581261158,
0.010841202922165394,
0.08115417510271072,
-0.05427544564008713,
0.017441201955080032,
0.09902464598417282,
0.07617391645908356,
-0.02510959655046463,
0.06477009505033493,
0.005475027486681938,
-0.02907578833401203,
-0.071463942527771,
0.0848713144659996,
-0.019718686118721962,
-0.01253892108798027,
-0.019035978242754936,
-0.03585054725408554,
0.03093310445547104,
0.017771683633327484,
0.06073492392897606,
0.04107168689370155,
0.06767388433218002,
0.030536772683262825,
0.043913088738918304,
-0.011509198695421219,
0.027780406177043915,
-0.01023842953145504,
0.09559187293052673,
0.01664913073182106,
1.5364703906960766e-33,
-0.05204850062727928,
0.016907785087823868,
0.03946840018033981,
0.1422005444765091,
0.07009100914001465,
0.008122933097183704,
0.03819939121603966,
0.06406587362289429,
0.05900496989488602,
-0.03636080026626587,
-0.037022072821855545,
0.05425170063972473,
0.10027185082435608,
-0.045358527451753616,
-0.08092799782752991,
0.0448443666100502,
-0.0022199482191354036,
-0.015035681426525116,
0.10401029884815216,
-0.009630193002521992,
0.07944664359092712,
0.05129553750157356,
0.02461223304271698,
-0.013501030392944813,
-0.11698248237371445,
0.047079432755708694,
0.03294211998581886,
0.0196059700101614,
0.004602799657732248,
-0.002418086864054203,
-0.0708530843257904,
0.02810237742960453,
-0.003874714719131589,
-0.035570114850997925,
0.0050545185804367065,
-0.041076984256505966,
0.0030189629178494215,
-0.015533839352428913,
-0.050614822655916214,
-0.09427713602781296,
0.015975799411535263,
0.0008793820743449032,
-0.016220586374402046,
-0.04666431248188019,
0.053637899458408356,
0.08972736448049545,
0.032624613493680954,
0.001062473515048623,
-0.009200742468237877,
-0.00035479149664752185,
0.031221533194184303,
0.02665518969297409,
-0.010013455525040627,
-0.005518919788300991,
0.05846696346998215,
0.052827607840299606,
-0.08718988299369812,
-0.0192436333745718,
-0.03898009657859802,
-0.026878051459789276,
0.023702040314674377,
0.09206723421812057,
-0.027897683903574944,
-0.013292621821165085,
0.012620914727449417,
-0.0060299779288470745,
0.023391185328364372,
-0.06322311609983444,
-0.0000033052931485144654,
0.020938728004693985,
0.05505567416548729,
0.011456301435828209,
-0.07623928785324097,
0.009987534023821354,
-0.04566574841737747,
-0.02340036630630493,
0.017505379393696785,
-0.02165953628718853,
0.03063935786485672,
-0.048552315682172775,
-0.11771659553050995,
0.04436338692903519,
-0.009412432089447975,
-0.016556458547711372,
-0.07740465551614761,
-0.03284374251961708,
-0.09304328262805939,
-0.02774105966091156,
0.02926652878522873,
-0.09777794778347015,
-0.016853701323270798,
0.00647593941539526,
-0.032174769788980484,
-0.05750236287713051,
-0.057207029312849045,
-4.548850529653331e-33,
0.010155785828828812,
-0.09455740451812744,
-0.07479096949100494,
-0.006138775963336229,
0.007593743037432432,
0.039700716733932495,
-0.040257491171360016,
0.057468999177217484,
-0.08870308101177216,
-0.008842747658491135,
0.07906534522771835,
-0.05049259960651398,
-0.034782130271196365,
-0.026602914556860924,
0.040613073855638504,
0.09235489368438721,
0.0015429697232320905,
-0.05672947317361832,
-0.055179838091135025,
0.02976681850850582,
0.08870811760425568,
0.011108298785984516,
-0.035473041236400604,
0.0128919193521142,
-0.020960673689842224,
-0.0029243582393974066,
0.07165183871984482,
-0.0387934185564518,
-0.050210654735565186,
0.08468563109636307,
-0.034412503242492676,
-0.023278018459677696,
0.014575261622667313,
0.049218639731407166,
-0.027251683175563812,
0.013436460867524147,
-0.01950777880847454,
0.067093625664711,
-0.05979239568114281,
0.027741296216845512,
-0.06204290688037872,
0.07094402611255646,
0.05721019208431244,
0.011951470747590065,
-0.022992243990302086,
-0.03791041672229767,
0.035973433405160904,
0.07851173728704453,
-0.02951614186167717,
0.009843268431723118,
-0.05266088992357254,
-0.04371816664934158,
-0.030957484617829323,
-0.05489635095000267,
-0.12241923063993454,
0.023579539731144905,
0.05861527472734451,
-0.06266481429338455,
0.05765416845679283,
0.047717347741127014,
-0.06119289994239807,
-0.057365644723176956,
0.11128468811511993,
0.036172475665807724,
0.03817234933376312,
0.08329711854457855,
-0.0004854266589973122,
0.01677395962178707,
-0.024748727679252625,
-0.020948277786374092,
-0.019323233515024185,
-0.04726007208228111,
-0.06103415787220001,
0.03610364347696304,
-0.04291605204343796,
0.09663459658622742,
0.1310148984193802,
-0.03482375293970108,
-0.00216103857383132,
-0.03299456834793091,
-0.04047365486621857,
0.014132417738437653,
0.006432726047933102,
0.05877239257097244,
0.029429564252495766,
-0.046521272510290146,
0.0035502351820468903,
0.002335455734282732,
0.0796637162566185,
0.05105381831526756,
0.010440472513437271,
-0.0212468970566988,
0.04725363850593567,
0.04539346322417259,
0.019488895311951637,
-4.59182842860173e-8,
-0.013230744749307632,
0.09743756800889969,
-0.0500740185379982,
-0.0025498326867818832,
-0.01882273703813553,
-0.028781084343791008,
-0.03348677605390549,
0.04164954274892807,
-0.02869345247745514,
0.10218125581741333,
-0.10425417870283127,
0.02039416879415512,
-0.11114831268787384,
0.09863395988941193,
0.027988377958536148,
-0.0040294635109603405,
-0.025738704949617386,
-0.03429313004016876,
-0.014795944094657898,
0.11377966403961182,
0.0033106242772191763,
0.03999597951769829,
-0.040222905576229095,
-0.06595705449581146,
0.07108362764120102,
0.043907810002565384,
-0.009284826926887035,
-0.019009431824088097,
0.02381765842437744,
-0.06416483968496323,
-0.018311291933059692,
0.046265341341495514,
-0.0289690550416708,
-0.03434086591005325,
-0.029091788455843925,
0.012569787912070751,
0.026400696486234665,
-0.01314984168857336,
-0.0628608763217926,
-0.012854492291808128,
-0.10078307241201401,
0.05333426594734192,
-0.014627980999648571,
-0.019110413268208504,
0.05703357607126236,
-0.001168049406260252,
-0.06422221660614014,
-0.01489316113293171,
-0.027637561783194542,
0.1784968078136444,
-0.03941928967833519,
0.03441035747528076,
-0.01376571785658598,
0.006282025948166847,
-0.042163293808698654,
0.001477706478908658,
-0.010541479103267193,
-0.03875857964158058,
-0.023261187598109245,
-0.03879859670996666,
0.058183301240205765,
0.011435081250965595,
-0.051589544862508774,
0.04252861812710762
] | null | null | null | null | null | null | null |
[
-0.02194259501993656,
0.010920087806880474,
0.02157760038971901,
0.015388970263302326,
0.034607406705617905,
0.054907944053411484,
-0.09577628970146179,
0.02012774348258972,
0.02678855136036873,
-0.0481300912797451,
0.042815856635570526,
0.08773009479045868,
-0.08193281292915344,
0.019477466121315956,
0.020929742604494095,
-0.04447052255272865,
-0.05092722177505493,
0.01020503044128418,
-0.12338603287935257,
0.01302812434732914,
-0.06861129403114319,
-0.05770198628306389,
0.0023448977153748274,
-0.0027985540218651295,
0.04996771737933159,
-0.05596578121185303,
0.09263083338737488,
-0.05827174335718155,
-0.09611556679010391,
-0.006801812909543514,
0.04621375352144241,
0.07907451689243317,
0.011427056975662708,
-0.00007353111141128466,
-0.050164803862571716,
0.03863174095749855,
0.04006529226899147,
0.016918353736400604,
0.0364530049264431,
0.01904795691370964,
-0.00380221800878644,
-0.019883373752236366,
0.00838455744087696,
0.10196711868047714,
-0.03957456722855568,
-0.021663278341293335,
0.03226037323474884,
-0.09359756112098694,
0.043993234634399414,
-0.011166193522512913,
0.018203962594270706,
0.06873202323913574,
-0.03071579709649086,
-0.05288136377930641,
0.062479760497808456,
-0.07311715185642242,
-0.049207791686058044,
0.009095483459532261,
-0.014728563837707043,
-0.02365083433687687,
0.007944508455693722,
-0.05145026743412018,
0.007950839586555958,
-0.05244356393814087,
0.006854531820863485,
0.021513735875487328,
-0.044248901307582855,
-0.043979186564683914,
-0.08112304657697678,
0.04395729675889015,
-0.007179523818194866,
0.0003755286452360451,
-0.11482842266559601,
-0.02327081747353077,
0.03376114368438721,
0.038639817386865616,
0.030141497030854225,
0.04922318086028099,
0.02131682261824608,
-0.008599505759775639,
-0.023214122280478477,
0.06062069907784462,
-0.047503817826509476,
-0.08477159589529037,
-0.04065895825624466,
-0.0006116910954006016,
-0.002439605537801981,
-0.0660262405872345,
-0.01171966828405857,
-0.07365765422582626,
0.12714913487434387,
-0.07327848672866821,
-0.11010053008794785,
-0.0605538934469223,
-0.0056930347345769405,
0.0321173258125782,
-0.09874667227268219,
0.003757280297577381,
0.013751116581261158,
0.010841202922165394,
0.08115417510271072,
-0.05427544564008713,
0.017441201955080032,
0.09902464598417282,
0.07617391645908356,
-0.02510959655046463,
0.06477009505033493,
0.005475027486681938,
-0.02907578833401203,
-0.071463942527771,
0.0848713144659996,
-0.019718686118721962,
-0.01253892108798027,
-0.019035978242754936,
-0.03585054725408554,
0.03093310445547104,
0.017771683633327484,
0.06073492392897606,
0.04107168689370155,
0.06767388433218002,
0.030536772683262825,
0.043913088738918304,
-0.011509198695421219,
0.027780406177043915,
-0.01023842953145504,
0.09559187293052673,
0.01664913073182106,
1.5364703906960766e-33,
-0.05204850062727928,
0.016907785087823868,
0.03946840018033981,
0.1422005444765091,
0.07009100914001465,
0.008122933097183704,
0.03819939121603966,
0.06406587362289429,
0.05900496989488602,
-0.03636080026626587,
-0.037022072821855545,
0.05425170063972473,
0.10027185082435608,
-0.045358527451753616,
-0.08092799782752991,
0.0448443666100502,
-0.0022199482191354036,
-0.015035681426525116,
0.10401029884815216,
-0.009630193002521992,
0.07944664359092712,
0.05129553750157356,
0.02461223304271698,
-0.013501030392944813,
-0.11698248237371445,
0.047079432755708694,
0.03294211998581886,
0.0196059700101614,
0.004602799657732248,
-0.002418086864054203,
-0.0708530843257904,
0.02810237742960453,
-0.003874714719131589,
-0.035570114850997925,
0.0050545185804367065,
-0.041076984256505966,
0.0030189629178494215,
-0.015533839352428913,
-0.050614822655916214,
-0.09427713602781296,
0.015975799411535263,
0.0008793820743449032,
-0.016220586374402046,
-0.04666431248188019,
0.053637899458408356,
0.08972736448049545,
0.032624613493680954,
0.001062473515048623,
-0.009200742468237877,
-0.00035479149664752185,
0.031221533194184303,
0.02665518969297409,
-0.010013455525040627,
-0.005518919788300991,
0.05846696346998215,
0.052827607840299606,
-0.08718988299369812,
-0.0192436333745718,
-0.03898009657859802,
-0.026878051459789276,
0.023702040314674377,
0.09206723421812057,
-0.027897683903574944,
-0.013292621821165085,
0.012620914727449417,
-0.0060299779288470745,
0.023391185328364372,
-0.06322311609983444,
-0.0000033052931485144654,
0.020938728004693985,
0.05505567416548729,
0.011456301435828209,
-0.07623928785324097,
0.009987534023821354,
-0.04566574841737747,
-0.02340036630630493,
0.017505379393696785,
-0.02165953628718853,
0.03063935786485672,
-0.048552315682172775,
-0.11771659553050995,
0.04436338692903519,
-0.009412432089447975,
-0.016556458547711372,
-0.07740465551614761,
-0.03284374251961708,
-0.09304328262805939,
-0.02774105966091156,
0.02926652878522873,
-0.09777794778347015,
-0.016853701323270798,
0.00647593941539526,
-0.032174769788980484,
-0.05750236287713051,
-0.057207029312849045,
-4.548850529653331e-33,
0.010155785828828812,
-0.09455740451812744,
-0.07479096949100494,
-0.006138775963336229,
0.007593743037432432,
0.039700716733932495,
-0.040257491171360016,
0.057468999177217484,
-0.08870308101177216,
-0.008842747658491135,
0.07906534522771835,
-0.05049259960651398,
-0.034782130271196365,
-0.026602914556860924,
0.040613073855638504,
0.09235489368438721,
0.0015429697232320905,
-0.05672947317361832,
-0.055179838091135025,
0.02976681850850582,
0.08870811760425568,
0.011108298785984516,
-0.035473041236400604,
0.0128919193521142,
-0.020960673689842224,
-0.0029243582393974066,
0.07165183871984482,
-0.0387934185564518,
-0.050210654735565186,
0.08468563109636307,
-0.034412503242492676,
-0.023278018459677696,
0.014575261622667313,
0.049218639731407166,
-0.027251683175563812,
0.013436460867524147,
-0.01950777880847454,
0.067093625664711,
-0.05979239568114281,
0.027741296216845512,
-0.06204290688037872,
0.07094402611255646,
0.05721019208431244,
0.011951470747590065,
-0.022992243990302086,
-0.03791041672229767,
0.035973433405160904,
0.07851173728704453,
-0.02951614186167717,
0.009843268431723118,
-0.05266088992357254,
-0.04371816664934158,
-0.030957484617829323,
-0.05489635095000267,
-0.12241923063993454,
0.023579539731144905,
0.05861527472734451,
-0.06266481429338455,
0.05765416845679283,
0.047717347741127014,
-0.06119289994239807,
-0.057365644723176956,
0.11128468811511993,
0.036172475665807724,
0.03817234933376312,
0.08329711854457855,
-0.0004854266589973122,
0.01677395962178707,
-0.024748727679252625,
-0.020948277786374092,
-0.019323233515024185,
-0.04726007208228111,
-0.06103415787220001,
0.03610364347696304,
-0.04291605204343796,
0.09663459658622742,
0.1310148984193802,
-0.03482375293970108,
-0.00216103857383132,
-0.03299456834793091,
-0.04047365486621857,
0.014132417738437653,
0.006432726047933102,
0.05877239257097244,
0.029429564252495766,
-0.046521272510290146,
0.0035502351820468903,
0.002335455734282732,
0.0796637162566185,
0.05105381831526756,
0.010440472513437271,
-0.0212468970566988,
0.04725363850593567,
0.04539346322417259,
0.019488895311951637,
-4.59182842860173e-8,
-0.013230744749307632,
0.09743756800889969,
-0.0500740185379982,
-0.0025498326867818832,
-0.01882273703813553,
-0.028781084343791008,
-0.03348677605390549,
0.04164954274892807,
-0.02869345247745514,
0.10218125581741333,
-0.10425417870283127,
0.02039416879415512,
-0.11114831268787384,
0.09863395988941193,
0.027988377958536148,
-0.0040294635109603405,
-0.025738704949617386,
-0.03429313004016876,
-0.014795944094657898,
0.11377966403961182,
0.0033106242772191763,
0.03999597951769829,
-0.040222905576229095,
-0.06595705449581146,
0.07108362764120102,
0.043907810002565384,
-0.009284826926887035,
-0.019009431824088097,
0.02381765842437744,
-0.06416483968496323,
-0.018311291933059692,
0.046265341341495514,
-0.0289690550416708,
-0.03434086591005325,
-0.029091788455843925,
0.012569787912070751,
0.026400696486234665,
-0.01314984168857336,
-0.0628608763217926,
-0.012854492291808128,
-0.10078307241201401,
0.05333426594734192,
-0.014627980999648571,
-0.019110413268208504,
0.05703357607126236,
-0.001168049406260252,
-0.06422221660614014,
-0.01489316113293171,
-0.027637561783194542,
0.1784968078136444,
-0.03941928967833519,
0.03441035747528076,
-0.01376571785658598,
0.006282025948166847,
-0.042163293808698654,
0.001477706478908658,
-0.010541479103267193,
-0.03875857964158058,
-0.023261187598109245,
-0.03879859670996666,
0.058183301240205765,
0.011435081250965595,
-0.051589544862508774,
0.04252861812710762
] |
1401.8053
|
Ognjen Arandjelovi\'c PhD
|
Ognjen Arandjelovic
|
Hallucinating optimal high-dimensional subspaces
|
Pattern Recognition, 2014
| null | null | null |
cs.CV
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Linear subspace representations of appearance variation are pervasive in
computer vision. This paper addresses the problem of robustly matching such
subspaces (computing the similarity between them) when they are used to
describe the scope of variations within sets of images of different (possibly
greatly so) scales. A naive solution of projecting the low-scale subspace into
the high-scale image space is described first and subsequently shown to be
inadequate, especially at large scale discrepancies. A successful approach is
proposed instead. It consists of (i) an interpolated projection of the
low-scale subspace into the high-scale space, which is followed by (ii) a
rotation of this initial estimate within the bounds of the imposed
``downsampling constraint''. The optimal rotation is found in the closed-form
which best aligns the high-scale reconstruction of the low-scale subspace with
the reference it is compared to. The method is evaluated on the problem of
matching sets of (i) face appearances under varying illumination and (ii)
object appearances under varying viewpoint, using two large data sets. In
comparison to the naive matching, the proposed algorithm is shown to greatly
increase the separation of between-class and within-class similarities, as well
as produce far more meaningful modes of common appearance on which the match
score is based.
|
[
{
"created": "Fri, 31 Jan 2014 03:28:10 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Arandjelovic",
"Ognjen",
""
]
] |
[
-0.05743931978940964,
0.03258233517408371,
0.05868964642286301,
-0.06038230285048485,
0.02728084661066532,
0.03004767931997776,
-0.00607015285640955,
-0.01208878681063652,
0.01565513201057911,
-0.06879208236932755,
-0.039616815745830536,
-0.042693328112363815,
0.0971795916557312,
0.009150443598628044,
-0.006995682138949633,
-0.09468688815832138,
0.10905109345912933,
0.08364104479551315,
-0.06472884863615036,
0.055835653096437454,
0.047809042036533356,
-0.05735330656170845,
-0.07367797940969467,
-0.040115002542734146,
0.07048959285020828,
0.037997256964445114,
0.11991236358880997,
0.002797513734549284,
-0.06371515989303589,
0.017596973106265068,
-0.05205155164003372,
0.05940276384353638,
-0.02845609560608864,
-0.019355203956365585,
-0.06309591233730316,
0.06070602685213089,
-0.0343591570854187,
0.09551656246185303,
-0.028896251693367958,
-0.011641801334917545,
-0.0730154812335968,
0.1222987100481987,
-0.041566792875528336,
0.016318591311573982,
0.03157934173941612,
0.053838200867176056,
0.013887395150959492,
-0.03757844120264053,
-0.029168494045734406,
-0.04093141108751297,
-0.020758219063282013,
0.006009228061884642,
-0.049030985683202744,
0.022193478420376778,
-0.047276418656110764,
0.0082676587626338,
0.09270346909761429,
-0.05972624570131302,
0.07301303744316101,
0.04264157637953758,
0.02839547209441662,
-0.025288110598921776,
0.014102167449891567,
0.01811986044049263,
-0.042625635862350464,
-0.041195616126060486,
-0.039075784385204315,
-0.08709287643432617,
-0.010979334823787212,
0.03561469539999962,
-0.07120682299137115,
0.048740923404693604,
0.03620577231049538,
0.06453710794448853,
-0.0685371533036232,
-0.016891932114958763,
0.004609983414411545,
-0.06768849492073059,
0.06712152808904648,
-0.012857357040047646,
0.0782657265663147,
0.035019658505916595,
-0.02214968018233776,
0.05589193105697632,
0.06803038716316223,
-0.012262122705578804,
-0.06364922970533371,
0.0015220275381579995,
-0.0055944668129086494,
0.014341836795210838,
-0.06609423458576202,
0.03294921666383743,
-0.0221842210739851,
-0.007691165432333946,
0.0060479603707790375,
-0.0714476928114891,
0.07584286481142044,
-0.012455022893846035,
0.13129183650016785,
0.09174835681915283,
0.023500248789787292,
0.011369741521775723,
0.047386251389980316,
-0.0017208477947860956,
0.0354338102042675,
0.010312573052942753,
0.02838313579559326,
-0.060339830815792084,
0.08163616806268692,
-0.1339174211025238,
0.03403155133128166,
-0.042021557688713074,
-0.08162257820367813,
0.04195118695497513,
-0.026394300162792206,
-0.03646314516663551,
0.11236875504255295,
-0.000817344815004617,
-0.0364479199051857,
0.007479668129235506,
0.004306313116103411,
-0.03939037024974823,
0.05490516871213913,
-0.01411349605768919,
0.042962417006492615,
0.011456632055342197,
-0.050274237990379333,
1.7877103595007588e-33,
-0.026505401358008385,
0.0024171886034309864,
-0.010825402103364468,
0.008677011355757713,
0.094765305519104,
-0.0028442894108593464,
-0.005289723165333271,
0.04117676988244057,
-0.025056643411517143,
0.012328552082180977,
-0.0057495771907269955,
-0.0017787620890885592,
-0.032439228147268295,
0.09647656232118607,
-0.01631982997059822,
0.04846148192882538,
0.037225157022476196,
0.07231507450342178,
-0.03543417528271675,
-0.0028921859338879585,
-0.03624837100505829,
-0.05909907817840576,
0.025177786126732826,
0.026446737349033356,
-0.03924160823225975,
-0.028513390570878983,
0.052252210676670074,
-0.09453096985816956,
-0.010361031629145145,
-0.041474051773548126,
0.008399554528295994,
0.03602531552314758,
0.060315508395433426,
0.003405715571716428,
0.054442815482616425,
-0.051825277507305145,
0.08048521727323532,
-0.018809666857123375,
0.022883430123329163,
-0.025498542934656143,
0.034252773970365524,
0.11405185610055923,
0.001151149277575314,
-0.047902606427669525,
-0.016780521720647812,
0.028405506163835526,
0.07749058306217194,
0.09130695462226868,
-0.06231379881501198,
0.012589627876877785,
0.025028051808476448,
-0.025925306603312492,
-0.05701717361807823,
-0.043450143188238144,
-0.10740862786769867,
-0.008532852865755558,
0.016426071524620056,
-0.01852031610906124,
0.03700534254312515,
0.03990946710109711,
-0.030835097655653954,
0.01159060187637806,
0.0064087980426847935,
0.016397660598158836,
0.02753768488764763,
-0.07332539558410645,
0.03620244935154915,
-0.04133734107017517,
-0.039589881896972656,
0.13789299130439758,
-0.014740681275725365,
0.006681174971163273,
-0.08470602333545685,
-0.0385846309363842,
0.025159377604722977,
0.015152540057897568,
0.022304680198431015,
0.09105832129716873,
-0.09950443357229233,
0.06333218514919281,
-0.058943185955286026,
0.07360979169607162,
0.012398666702210903,
-0.13958679139614105,
-0.07242239266633987,
-0.01740894466638565,
0.014640314504504204,
-0.0547841414809227,
0.035876013338565826,
-0.058010127395391464,
-0.032357845455408096,
-0.004053658340126276,
-0.08102252334356308,
0.023257844150066376,
0.05545181781053543,
-1.1490139528471154e-33,
0.028880827128887177,
-0.02851569838821888,
0.02975727804005146,
-0.06736521422863007,
-0.016459446400403976,
-0.01653807982802391,
0.05875106528401375,
-0.0052418834529817104,
-0.0082804374396801,
-0.010242190212011337,
-0.02872977778315544,
-0.014050527475774288,
0.014726049266755581,
-0.05506337061524391,
-0.04523463919758797,
-0.006914520636200905,
-0.008717760443687439,
0.033162325620651245,
-0.03141128271818161,
0.008791925385594368,
0.04389733076095581,
0.009168998338282108,
-0.044626642018556595,
0.0011383254313841462,
-0.061804965138435364,
0.09464199095964432,
0.008121258579194546,
0.013712293468415737,
-0.044257376343011856,
-0.021567804738879204,
0.022637180984020233,
-0.03477603942155838,
-0.02916961908340454,
0.02393665537238121,
-0.0880267471075058,
0.04873250797390938,
-0.04482685402035713,
-0.03013104572892189,
-0.06200644001364708,
0.032545529305934906,
-0.03176866099238396,
0.000830827048048377,
-0.015962999314069748,
-0.0029269822407513857,
-0.026533596217632294,
-0.09805139899253845,
0.014928760007023811,
-0.04327656328678131,
0.0507628433406353,
0.042641960084438324,
-0.0754992812871933,
0.001506043248809874,
-0.06804762780666351,
0.11171781271696091,
-0.002559913322329521,
-0.0618097297847271,
-0.05977234989404678,
0.019580157473683357,
0.07028988003730774,
-0.010402778163552284,
0.02358902245759964,
-0.047228313982486725,
-0.10620769113302231,
0.06050361320376396,
-0.0018160016043111682,
-0.0016362045425921679,
-0.01933104917407036,
-0.0360068716108799,
0.050479356199502945,
0.04158594459295273,
-0.01830030232667923,
-0.053903158754110336,
0.018415510654449463,
-0.05199215188622475,
-0.04017229005694389,
-0.04656676948070526,
0.11665822565555573,
0.05495038256049156,
0.08231005072593689,
0.05850173905491829,
-0.01943262480199337,
-0.049299485981464386,
-0.00003037660280824639,
0.09508803486824036,
-0.009838743135333061,
0.07268617302179337,
-0.043038517236709595,
0.04362339898943901,
0.06348676979541779,
0.02779530920088291,
-0.049263037741184235,
-0.010179340839385986,
0.017103401944041252,
-0.03787240758538246,
0.010484601370990276,
-5.0888981917296405e-8,
-0.10278886556625366,
0.020047495141625404,
-0.029476389288902283,
-0.0167517252266407,
-0.024521145969629288,
-0.04846547544002533,
0.03434920310974121,
0.07450389117002487,
-0.04895614832639694,
-0.04872783273458481,
0.0058691673912107944,
-0.04665436968207359,
0.05468902736902237,
-0.006276225205510855,
-0.020084770396351814,
0.039968352764844894,
-0.06213795021176338,
0.009380973875522614,
0.02255599945783615,
0.11272990703582764,
-0.08015985041856766,
0.028749750927090645,
-0.04450945556163788,
0.048341501504182816,
0.051842521876096725,
-0.04726654663681984,
-0.04559522867202759,
0.08101624995470047,
0.027485864236950874,
0.029306534677743912,
-0.05498237907886505,
0.05618822202086449,
0.037447717040777206,
-0.10449963808059692,
0.12674759328365326,
-0.013957547955214977,
-0.07249557971954346,
0.01643447019159794,
0.016163108870387077,
-0.05092102661728859,
-0.0018486031331121922,
0.001507465378381312,
0.011715016327798367,
0.04243676736950874,
0.14282464981079102,
0.06716059893369675,
0.09812510758638382,
-0.008709418587386608,
0.04055686295032501,
0.01863580197095871,
0.06627090275287628,
-0.02032172679901123,
-0.025223800912499428,
0.04778416454792023,
-0.0498373806476593,
-0.005968252196907997,
0.013416190631687641,
-0.0639994740486145,
0.09599548578262329,
0.01846475712954998,
-0.007086367812007666,
0.004863365087658167,
-0.03792360797524452,
0.007049234118312597
] | null | null | null | null | null | null | null |
[
-0.05743931978940964,
0.03258233517408371,
0.05868964642286301,
-0.06038230285048485,
0.02728084661066532,
0.03004767931997776,
-0.00607015285640955,
-0.01208878681063652,
0.01565513201057911,
-0.06879208236932755,
-0.039616815745830536,
-0.042693328112363815,
0.0971795916557312,
0.009150443598628044,
-0.006995682138949633,
-0.09468688815832138,
0.10905109345912933,
0.08364104479551315,
-0.06472884863615036,
0.055835653096437454,
0.047809042036533356,
-0.05735330656170845,
-0.07367797940969467,
-0.040115002542734146,
0.07048959285020828,
0.037997256964445114,
0.11991236358880997,
0.002797513734549284,
-0.06371515989303589,
0.017596973106265068,
-0.05205155164003372,
0.05940276384353638,
-0.02845609560608864,
-0.019355203956365585,
-0.06309591233730316,
0.06070602685213089,
-0.0343591570854187,
0.09551656246185303,
-0.028896251693367958,
-0.011641801334917545,
-0.0730154812335968,
0.1222987100481987,
-0.041566792875528336,
0.016318591311573982,
0.03157934173941612,
0.053838200867176056,
0.013887395150959492,
-0.03757844120264053,
-0.029168494045734406,
-0.04093141108751297,
-0.020758219063282013,
0.006009228061884642,
-0.049030985683202744,
0.022193478420376778,
-0.047276418656110764,
0.0082676587626338,
0.09270346909761429,
-0.05972624570131302,
0.07301303744316101,
0.04264157637953758,
0.02839547209441662,
-0.025288110598921776,
0.014102167449891567,
0.01811986044049263,
-0.042625635862350464,
-0.041195616126060486,
-0.039075784385204315,
-0.08709287643432617,
-0.010979334823787212,
0.03561469539999962,
-0.07120682299137115,
0.048740923404693604,
0.03620577231049538,
0.06453710794448853,
-0.0685371533036232,
-0.016891932114958763,
0.004609983414411545,
-0.06768849492073059,
0.06712152808904648,
-0.012857357040047646,
0.0782657265663147,
0.035019658505916595,
-0.02214968018233776,
0.05589193105697632,
0.06803038716316223,
-0.012262122705578804,
-0.06364922970533371,
0.0015220275381579995,
-0.0055944668129086494,
0.014341836795210838,
-0.06609423458576202,
0.03294921666383743,
-0.0221842210739851,
-0.007691165432333946,
0.0060479603707790375,
-0.0714476928114891,
0.07584286481142044,
-0.012455022893846035,
0.13129183650016785,
0.09174835681915283,
0.023500248789787292,
0.011369741521775723,
0.047386251389980316,
-0.0017208477947860956,
0.0354338102042675,
0.010312573052942753,
0.02838313579559326,
-0.060339830815792084,
0.08163616806268692,
-0.1339174211025238,
0.03403155133128166,
-0.042021557688713074,
-0.08162257820367813,
0.04195118695497513,
-0.026394300162792206,
-0.03646314516663551,
0.11236875504255295,
-0.000817344815004617,
-0.0364479199051857,
0.007479668129235506,
0.004306313116103411,
-0.03939037024974823,
0.05490516871213913,
-0.01411349605768919,
0.042962417006492615,
0.011456632055342197,
-0.050274237990379333,
1.7877103595007588e-33,
-0.026505401358008385,
0.0024171886034309864,
-0.010825402103364468,
0.008677011355757713,
0.094765305519104,
-0.0028442894108593464,
-0.005289723165333271,
0.04117676988244057,
-0.025056643411517143,
0.012328552082180977,
-0.0057495771907269955,
-0.0017787620890885592,
-0.032439228147268295,
0.09647656232118607,
-0.01631982997059822,
0.04846148192882538,
0.037225157022476196,
0.07231507450342178,
-0.03543417528271675,
-0.0028921859338879585,
-0.03624837100505829,
-0.05909907817840576,
0.025177786126732826,
0.026446737349033356,
-0.03924160823225975,
-0.028513390570878983,
0.052252210676670074,
-0.09453096985816956,
-0.010361031629145145,
-0.041474051773548126,
0.008399554528295994,
0.03602531552314758,
0.060315508395433426,
0.003405715571716428,
0.054442815482616425,
-0.051825277507305145,
0.08048521727323532,
-0.018809666857123375,
0.022883430123329163,
-0.025498542934656143,
0.034252773970365524,
0.11405185610055923,
0.001151149277575314,
-0.047902606427669525,
-0.016780521720647812,
0.028405506163835526,
0.07749058306217194,
0.09130695462226868,
-0.06231379881501198,
0.012589627876877785,
0.025028051808476448,
-0.025925306603312492,
-0.05701717361807823,
-0.043450143188238144,
-0.10740862786769867,
-0.008532852865755558,
0.016426071524620056,
-0.01852031610906124,
0.03700534254312515,
0.03990946710109711,
-0.030835097655653954,
0.01159060187637806,
0.0064087980426847935,
0.016397660598158836,
0.02753768488764763,
-0.07332539558410645,
0.03620244935154915,
-0.04133734107017517,
-0.039589881896972656,
0.13789299130439758,
-0.014740681275725365,
0.006681174971163273,
-0.08470602333545685,
-0.0385846309363842,
0.025159377604722977,
0.015152540057897568,
0.022304680198431015,
0.09105832129716873,
-0.09950443357229233,
0.06333218514919281,
-0.058943185955286026,
0.07360979169607162,
0.012398666702210903,
-0.13958679139614105,
-0.07242239266633987,
-0.01740894466638565,
0.014640314504504204,
-0.0547841414809227,
0.035876013338565826,
-0.058010127395391464,
-0.032357845455408096,
-0.004053658340126276,
-0.08102252334356308,
0.023257844150066376,
0.05545181781053543,
-1.1490139528471154e-33,
0.028880827128887177,
-0.02851569838821888,
0.02975727804005146,
-0.06736521422863007,
-0.016459446400403976,
-0.01653807982802391,
0.05875106528401375,
-0.0052418834529817104,
-0.0082804374396801,
-0.010242190212011337,
-0.02872977778315544,
-0.014050527475774288,
0.014726049266755581,
-0.05506337061524391,
-0.04523463919758797,
-0.006914520636200905,
-0.008717760443687439,
0.033162325620651245,
-0.03141128271818161,
0.008791925385594368,
0.04389733076095581,
0.009168998338282108,
-0.044626642018556595,
0.0011383254313841462,
-0.061804965138435364,
0.09464199095964432,
0.008121258579194546,
0.013712293468415737,
-0.044257376343011856,
-0.021567804738879204,
0.022637180984020233,
-0.03477603942155838,
-0.02916961908340454,
0.02393665537238121,
-0.0880267471075058,
0.04873250797390938,
-0.04482685402035713,
-0.03013104572892189,
-0.06200644001364708,
0.032545529305934906,
-0.03176866099238396,
0.000830827048048377,
-0.015962999314069748,
-0.0029269822407513857,
-0.026533596217632294,
-0.09805139899253845,
0.014928760007023811,
-0.04327656328678131,
0.0507628433406353,
0.042641960084438324,
-0.0754992812871933,
0.001506043248809874,
-0.06804762780666351,
0.11171781271696091,
-0.002559913322329521,
-0.0618097297847271,
-0.05977234989404678,
0.019580157473683357,
0.07028988003730774,
-0.010402778163552284,
0.02358902245759964,
-0.047228313982486725,
-0.10620769113302231,
0.06050361320376396,
-0.0018160016043111682,
-0.0016362045425921679,
-0.01933104917407036,
-0.0360068716108799,
0.050479356199502945,
0.04158594459295273,
-0.01830030232667923,
-0.053903158754110336,
0.018415510654449463,
-0.05199215188622475,
-0.04017229005694389,
-0.04656676948070526,
0.11665822565555573,
0.05495038256049156,
0.08231005072593689,
0.05850173905491829,
-0.01943262480199337,
-0.049299485981464386,
-0.00003037660280824639,
0.09508803486824036,
-0.009838743135333061,
0.07268617302179337,
-0.043038517236709595,
0.04362339898943901,
0.06348676979541779,
0.02779530920088291,
-0.049263037741184235,
-0.010179340839385986,
0.017103401944041252,
-0.03787240758538246,
0.010484601370990276,
-5.0888981917296405e-8,
-0.10278886556625366,
0.020047495141625404,
-0.029476389288902283,
-0.0167517252266407,
-0.024521145969629288,
-0.04846547544002533,
0.03434920310974121,
0.07450389117002487,
-0.04895614832639694,
-0.04872783273458481,
0.0058691673912107944,
-0.04665436968207359,
0.05468902736902237,
-0.006276225205510855,
-0.020084770396351814,
0.039968352764844894,
-0.06213795021176338,
0.009380973875522614,
0.02255599945783615,
0.11272990703582764,
-0.08015985041856766,
0.028749750927090645,
-0.04450945556163788,
0.048341501504182816,
0.051842521876096725,
-0.04726654663681984,
-0.04559522867202759,
0.08101624995470047,
0.027485864236950874,
0.029306534677743912,
-0.05498237907886505,
0.05618822202086449,
0.037447717040777206,
-0.10449963808059692,
0.12674759328365326,
-0.013957547955214977,
-0.07249557971954346,
0.01643447019159794,
0.016163108870387077,
-0.05092102661728859,
-0.0018486031331121922,
0.001507465378381312,
0.011715016327798367,
0.04243676736950874,
0.14282464981079102,
0.06716059893369675,
0.09812510758638382,
-0.008709418587386608,
0.04055686295032501,
0.01863580197095871,
0.06627090275287628,
-0.02032172679901123,
-0.025223800912499428,
0.04778416454792023,
-0.0498373806476593,
-0.005968252196907997,
0.013416190631687641,
-0.0639994740486145,
0.09599548578262329,
0.01846475712954998,
-0.007086367812007666,
0.004863365087658167,
-0.03792360797524452,
0.007049234118312597
] |
1401.8064
|
Tanran Zhang
|
Ben Niu, Tanran Zhang, Xiaoyan Zhu, Hui Li and Zongqing Lu
|
Priority-Aware Private Matching Schemes for Proximity-Based Mobile
Social Networks
|
15 pages, 18 figures
| null | null | null |
cs.CR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The rapid developments of mobile devices and online social networks have
resulted in increasing attention to Mobile Social Networking (MSN). The
explosive growth of mobile-connected and location-aware devices makes it
possible and meaningful to do the Proximity-based Mobile Social Networks
(PMSNs). Users can discover and make new social interactions easily with
physical-proximate mobile users through WiFi/Bluetooth interfaces embedded in
their smartphones. However, users enjoy these conveniences at the cost of their
growing privacy concerns. To address this problem, we propose a suit of
priority-aware private matching schemes to privately match the similarity with
potential friends in the vicinity. Unlike most existing work, our proposed
priority-aware matching scheme (P-match) achieves the privacy goal by combining
the commutative encryption function and the Tanimoto similarity coefficient
which considers both the number of common attributes between users as well as
the corresponding priorities on each common attribute. Further, based on the
newly constructed similarity function which takes the ratio of attributes
matched over all the input set into consideration, we design an enhanced
version to deal with some potential attacks such as unlimitedly inputting the
attribute set on either the initiator side or the responder side, etc. Finally,
our proposed E-match avoids the heavy cryptographic operations and improves the
system performance significantly by employing a novel use of the Bloom filter.
The security and communication/computation overhead of our schemes are
thoroughly analyzed and evaluated via detailed simulations and implementation.
|
[
{
"created": "Fri, 31 Jan 2014 05:27:10 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Niu",
"Ben",
""
],
[
"Zhang",
"Tanran",
""
],
[
"Zhu",
"Xiaoyan",
""
],
[
"Li",
"Hui",
""
],
[
"Lu",
"Zongqing",
""
]
] |
[
-0.12070073932409286,
0.02694370225071907,
0.057590316981077194,
-0.051937803626060486,
-0.001295361202210188,
0.03836790472269058,
0.03835049644112587,
-0.012693152762949467,
0.06985657662153244,
-0.020114228129386902,
0.060797277837991714,
-0.004414970520883799,
0.08599965274333954,
-0.012302719987928867,
0.07393764704465866,
0.01013467088341713,
0.034516312181949615,
-0.01659872941672802,
-0.054362952709198,
0.03556196019053459,
0.014857177622616291,
-0.03560735657811165,
0.011143106035888195,
0.02214694209396839,
0.013838350772857666,
-0.06111818924546242,
0.04767226055264473,
0.003820474725216627,
-0.04869997128844261,
0.05706269294023514,
0.055566344410181046,
0.07142001390457153,
0.04970957338809967,
-0.0029681683517992496,
-0.06696761399507523,
-0.08768711984157562,
-0.06943581253290176,
0.029974428936839104,
-0.06541433185338974,
-0.05507906153798103,
-0.10291402041912079,
-0.07091713696718216,
-0.014668416231870651,
0.042966343462467194,
-0.048954565078020096,
0.11814972758293152,
0.018969429656863213,
0.10506592690944672,
-0.050219714641571045,
-0.048755478113889694,
0.01458008773624897,
-0.00029260903829708695,
-0.09150594472885132,
0.04845000430941582,
-0.028626270592212677,
0.032423995435237885,
-0.013720108196139336,
-0.006145291496068239,
0.0374700129032135,
0.0174369215965271,
-0.02549869753420353,
-0.04357335716485977,
0.005666329525411129,
0.022847387939691544,
0.010529567487537861,
-0.01590082421898842,
-0.0096511235460639,
-0.0053529031574726105,
-0.014972228556871414,
0.07697591185569763,
0.04317229613661766,
0.07687627524137497,
0.010793209075927734,
0.04345986992120743,
0.0036934029776602983,
0.05993952229619026,
-0.08007115870714188,
-0.046400222927331924,
-0.1249924823641777,
0.021139025688171387,
-0.010133467614650726,
-0.03863345459103584,
0.031833715736866,
-0.001175126526504755,
0.044259801506996155,
-0.005496320314705372,
-0.03547158092260361,
-0.018664313480257988,
0.014054221101105213,
0.024553606286644936,
-0.08068598806858063,
0.06606704741716385,
-0.055896785110235214,
-0.03248622268438339,
0.030870039016008377,
0.008866897784173489,
-0.02021821402013302,
0.021651897579431534,
-0.018593838438391685,
0.028268003836274147,
-0.0773601308465004,
0.05598991736769676,
0.03540217503905296,
-0.029682636260986328,
0.10690382122993469,
0.12258096039295197,
0.0029359639156609774,
-0.02201160043478012,
0.14444728195667267,
0.05091250315308571,
0.014969020150601864,
-0.06092898175120354,
-0.00847553089261055,
0.010283485986292362,
-0.0466117300093174,
0.030420877039432526,
0.07395027577877045,
0.087225042283535,
0.05080609396100044,
0.07130156457424164,
0.05412512645125389,
-0.004798772744834423,
0.0014482986880466342,
-0.059342123568058014,
-0.028822191059589386,
0.030182519927620888,
-0.0382925420999527,
1.6937725651647188e-33,
0.08615696430206299,
0.039113204926252365,
-0.059530556201934814,
-0.05321386083960533,
-0.05837225914001465,
-0.025420518592000008,
-0.05913389474153519,
-0.000016598876754869707,
-0.07390232384204865,
-0.01854538545012474,
-0.017875807359814644,
0.0421421080827713,
0.06451991945505142,
-0.012583380565047264,
0.028025588020682335,
-0.00775392958894372,
0.05873730778694153,
0.03128095716238022,
0.056498054414987564,
-0.008687240071594715,
0.0718405470252037,
-0.0550059899687767,
-0.027531517669558525,
-0.0013035412412136793,
0.027875451371073723,
0.005727284587919712,
0.08115478605031967,
-0.013348240405321121,
0.11437643319368362,
-0.0398961566388607,
-0.011858872137963772,
0.05908355116844177,
0.04201377555727959,
-0.017398104071617126,
0.10677527636289597,
0.017124442383646965,
-0.016173936426639557,
-0.10024871677160263,
0.032115522772073746,
-0.062401894479990005,
-0.042305171489715576,
0.04817157983779907,
-0.07693825662136078,
-0.008652257733047009,
-0.007704904768615961,
-0.03489001840353012,
-0.07852428406476974,
0.09390898048877716,
0.005284363869577646,
0.013435719534754753,
0.014834137633442879,
0.005712415091693401,
-0.06980738043785095,
-0.04320698603987694,
-0.12211481481790543,
-0.08594101667404175,
0.005167677067220211,
0.06354640424251556,
0.00752811087295413,
0.04224715754389763,
-0.019673993811011314,
0.021496329456567764,
0.0387456975877285,
-0.05314548686146736,
-0.03604671731591225,
-0.10146678239107132,
-0.012810624204576015,
-0.05297479405999184,
0.033100876957178116,
0.005285024642944336,
0.05355306714773178,
0.05581463500857353,
-0.0019123256206512451,
-0.0023859089706093073,
0.0038881173823028803,
0.04619210213422775,
0.02337116003036499,
0.04369838535785675,
-0.04510216787457466,
-0.04781922325491905,
-0.03219194710254669,
0.08357074111700058,
-0.02231089398264885,
-0.017456335946917534,
-0.04217158630490303,
-0.04721773415803909,
-0.04498101770877838,
-0.06984339654445648,
-0.10973417013883591,
0.018380193039774895,
0.04363108053803444,
-0.003977591637521982,
-0.03938758745789528,
0.012680473737418652,
-0.038682807236909866,
-1.5433710017128842e-33,
-0.05681779608130455,
-0.01719760149717331,
0.020545396953821182,
0.0158962681889534,
0.0666959285736084,
-0.12001615017652512,
0.047498591244220734,
0.016766726970672607,
-0.018362585455179214,
0.01520608738064766,
-0.0588034987449646,
0.0085573336109519,
0.14536724984645844,
-0.060107581317424774,
0.05221104621887207,
0.080418162047863,
0.050942253321409225,
0.023333949968218803,
-0.05926400423049927,
-0.0005168927600607276,
0.028837278485298157,
0.002015242585912347,
-0.06220211461186409,
0.05190316587686539,
0.05993736907839775,
-0.004999712109565735,
-0.02446676604449749,
-0.024001523852348328,
0.02241876907646656,
-0.06474364548921585,
-0.027914248406887054,
-0.013782675378024578,
-0.054907284677028656,
-0.15094490349292755,
0.0024299882352352142,
-0.007671937812119722,
-0.034086309373378754,
0.056079644709825516,
-0.007577332202345133,
0.02105754055082798,
0.03879044950008392,
-0.011228841729462147,
-0.0753018781542778,
-0.033462122082710266,
0.007207704707980156,
-0.10481727123260498,
0.010448293760418892,
-0.023789044469594955,
-0.03761866316199303,
-0.06453024595975876,
0.09118756651878357,
0.04608294740319252,
-0.008250824175775051,
-0.01463222038000822,
0.018179558217525482,
-0.01859939843416214,
-0.007080049719661474,
0.039434146136045456,
-0.010175470262765884,
0.03653625771403313,
0.07714199274778366,
-0.012380528263747692,
0.04121193289756775,
0.10762834548950195,
0.006433750037103891,
-0.002969108521938324,
0.020390184596180916,
0.04894794523715973,
-0.017459623515605927,
0.04596974328160286,
-0.007868645712733269,
-0.029759282246232033,
-0.03484238684177399,
0.053502779453992844,
0.012223843485116959,
-0.037567123770713806,
0.0946466326713562,
0.02918844297528267,
-0.019627150148153305,
0.1093275398015976,
0.02637319080531597,
0.051168497651815414,
0.005966239608824253,
-0.055300842970609665,
0.09264976531267166,
-0.023981504142284393,
0.05432410165667534,
0.005655674729496241,
-0.03424125537276268,
0.06955072283744812,
-0.014062520116567612,
0.04238642007112503,
-0.037375930696725845,
-0.006372762843966484,
-0.0852794498205185,
-4.3159310791907046e-8,
-0.0345597043633461,
-0.04797738417983055,
-0.03702779859304428,
0.058439403772354126,
-0.04313599690794945,
0.035665739327669144,
0.010387163609266281,
-0.041937556117773056,
-0.05182556062936783,
0.02334718033671379,
0.02929573878645897,
0.026567406952381134,
-0.002273117657750845,
0.05114753544330597,
0.02409219555556774,
0.01074475422501564,
0.01237610075622797,
-0.140029639005661,
-0.03259527310729027,
0.05845126509666443,
-0.06904467195272446,
0.020128563046455383,
-0.0951317623257637,
0.009245975874364376,
0.05328266695141792,
-0.015455041080713272,
-0.04190359264612198,
-0.01653001457452774,
0.05770643427968025,
0.06405407190322876,
-0.04723392426967621,
-0.09361863881349564,
0.06868291646242142,
-0.08035236597061157,
-0.023984108120203018,
0.08236069232225418,
-0.08089540898799896,
-0.032132234424352646,
0.008099743165075779,
0.010450096800923347,
0.07625985145568848,
-0.051066286861896515,
0.028841357678174973,
0.05912478640675545,
0.0533563531935215,
-0.03490819036960602,
0.059795863926410675,
-0.03495011851191521,
-0.05456972494721413,
-0.03165743872523308,
-0.003473020624369383,
-0.08648374676704407,
-0.014809581451117992,
-0.01752249151468277,
0.01981295831501484,
-0.02259436808526516,
0.05592499300837517,
0.000024072596715996042,
0.12670861184597015,
-0.02781834825873375,
0.054220303893089294,
0.041464000940322876,
-0.030936526134610176,
0.03143906220793724
] | null | null | null | null | null | null | null |
[
-0.12070073932409286,
0.02694370225071907,
0.057590316981077194,
-0.051937803626060486,
-0.001295361202210188,
0.03836790472269058,
0.03835049644112587,
-0.012693152762949467,
0.06985657662153244,
-0.020114228129386902,
0.060797277837991714,
-0.004414970520883799,
0.08599965274333954,
-0.012302719987928867,
0.07393764704465866,
0.01013467088341713,
0.034516312181949615,
-0.01659872941672802,
-0.054362952709198,
0.03556196019053459,
0.014857177622616291,
-0.03560735657811165,
0.011143106035888195,
0.02214694209396839,
0.013838350772857666,
-0.06111818924546242,
0.04767226055264473,
0.003820474725216627,
-0.04869997128844261,
0.05706269294023514,
0.055566344410181046,
0.07142001390457153,
0.04970957338809967,
-0.0029681683517992496,
-0.06696761399507523,
-0.08768711984157562,
-0.06943581253290176,
0.029974428936839104,
-0.06541433185338974,
-0.05507906153798103,
-0.10291402041912079,
-0.07091713696718216,
-0.014668416231870651,
0.042966343462467194,
-0.048954565078020096,
0.11814972758293152,
0.018969429656863213,
0.10506592690944672,
-0.050219714641571045,
-0.048755478113889694,
0.01458008773624897,
-0.00029260903829708695,
-0.09150594472885132,
0.04845000430941582,
-0.028626270592212677,
0.032423995435237885,
-0.013720108196139336,
-0.006145291496068239,
0.0374700129032135,
0.0174369215965271,
-0.02549869753420353,
-0.04357335716485977,
0.005666329525411129,
0.022847387939691544,
0.010529567487537861,
-0.01590082421898842,
-0.0096511235460639,
-0.0053529031574726105,
-0.014972228556871414,
0.07697591185569763,
0.04317229613661766,
0.07687627524137497,
0.010793209075927734,
0.04345986992120743,
0.0036934029776602983,
0.05993952229619026,
-0.08007115870714188,
-0.046400222927331924,
-0.1249924823641777,
0.021139025688171387,
-0.010133467614650726,
-0.03863345459103584,
0.031833715736866,
-0.001175126526504755,
0.044259801506996155,
-0.005496320314705372,
-0.03547158092260361,
-0.018664313480257988,
0.014054221101105213,
0.024553606286644936,
-0.08068598806858063,
0.06606704741716385,
-0.055896785110235214,
-0.03248622268438339,
0.030870039016008377,
0.008866897784173489,
-0.02021821402013302,
0.021651897579431534,
-0.018593838438391685,
0.028268003836274147,
-0.0773601308465004,
0.05598991736769676,
0.03540217503905296,
-0.029682636260986328,
0.10690382122993469,
0.12258096039295197,
0.0029359639156609774,
-0.02201160043478012,
0.14444728195667267,
0.05091250315308571,
0.014969020150601864,
-0.06092898175120354,
-0.00847553089261055,
0.010283485986292362,
-0.0466117300093174,
0.030420877039432526,
0.07395027577877045,
0.087225042283535,
0.05080609396100044,
0.07130156457424164,
0.05412512645125389,
-0.004798772744834423,
0.0014482986880466342,
-0.059342123568058014,
-0.028822191059589386,
0.030182519927620888,
-0.0382925420999527,
1.6937725651647188e-33,
0.08615696430206299,
0.039113204926252365,
-0.059530556201934814,
-0.05321386083960533,
-0.05837225914001465,
-0.025420518592000008,
-0.05913389474153519,
-0.000016598876754869707,
-0.07390232384204865,
-0.01854538545012474,
-0.017875807359814644,
0.0421421080827713,
0.06451991945505142,
-0.012583380565047264,
0.028025588020682335,
-0.00775392958894372,
0.05873730778694153,
0.03128095716238022,
0.056498054414987564,
-0.008687240071594715,
0.0718405470252037,
-0.0550059899687767,
-0.027531517669558525,
-0.0013035412412136793,
0.027875451371073723,
0.005727284587919712,
0.08115478605031967,
-0.013348240405321121,
0.11437643319368362,
-0.0398961566388607,
-0.011858872137963772,
0.05908355116844177,
0.04201377555727959,
-0.017398104071617126,
0.10677527636289597,
0.017124442383646965,
-0.016173936426639557,
-0.10024871677160263,
0.032115522772073746,
-0.062401894479990005,
-0.042305171489715576,
0.04817157983779907,
-0.07693825662136078,
-0.008652257733047009,
-0.007704904768615961,
-0.03489001840353012,
-0.07852428406476974,
0.09390898048877716,
0.005284363869577646,
0.013435719534754753,
0.014834137633442879,
0.005712415091693401,
-0.06980738043785095,
-0.04320698603987694,
-0.12211481481790543,
-0.08594101667404175,
0.005167677067220211,
0.06354640424251556,
0.00752811087295413,
0.04224715754389763,
-0.019673993811011314,
0.021496329456567764,
0.0387456975877285,
-0.05314548686146736,
-0.03604671731591225,
-0.10146678239107132,
-0.012810624204576015,
-0.05297479405999184,
0.033100876957178116,
0.005285024642944336,
0.05355306714773178,
0.05581463500857353,
-0.0019123256206512451,
-0.0023859089706093073,
0.0038881173823028803,
0.04619210213422775,
0.02337116003036499,
0.04369838535785675,
-0.04510216787457466,
-0.04781922325491905,
-0.03219194710254669,
0.08357074111700058,
-0.02231089398264885,
-0.017456335946917534,
-0.04217158630490303,
-0.04721773415803909,
-0.04498101770877838,
-0.06984339654445648,
-0.10973417013883591,
0.018380193039774895,
0.04363108053803444,
-0.003977591637521982,
-0.03938758745789528,
0.012680473737418652,
-0.038682807236909866,
-1.5433710017128842e-33,
-0.05681779608130455,
-0.01719760149717331,
0.020545396953821182,
0.0158962681889534,
0.0666959285736084,
-0.12001615017652512,
0.047498591244220734,
0.016766726970672607,
-0.018362585455179214,
0.01520608738064766,
-0.0588034987449646,
0.0085573336109519,
0.14536724984645844,
-0.060107581317424774,
0.05221104621887207,
0.080418162047863,
0.050942253321409225,
0.023333949968218803,
-0.05926400423049927,
-0.0005168927600607276,
0.028837278485298157,
0.002015242585912347,
-0.06220211461186409,
0.05190316587686539,
0.05993736907839775,
-0.004999712109565735,
-0.02446676604449749,
-0.024001523852348328,
0.02241876907646656,
-0.06474364548921585,
-0.027914248406887054,
-0.013782675378024578,
-0.054907284677028656,
-0.15094490349292755,
0.0024299882352352142,
-0.007671937812119722,
-0.034086309373378754,
0.056079644709825516,
-0.007577332202345133,
0.02105754055082798,
0.03879044950008392,
-0.011228841729462147,
-0.0753018781542778,
-0.033462122082710266,
0.007207704707980156,
-0.10481727123260498,
0.010448293760418892,
-0.023789044469594955,
-0.03761866316199303,
-0.06453024595975876,
0.09118756651878357,
0.04608294740319252,
-0.008250824175775051,
-0.01463222038000822,
0.018179558217525482,
-0.01859939843416214,
-0.007080049719661474,
0.039434146136045456,
-0.010175470262765884,
0.03653625771403313,
0.07714199274778366,
-0.012380528263747692,
0.04121193289756775,
0.10762834548950195,
0.006433750037103891,
-0.002969108521938324,
0.020390184596180916,
0.04894794523715973,
-0.017459623515605927,
0.04596974328160286,
-0.007868645712733269,
-0.029759282246232033,
-0.03484238684177399,
0.053502779453992844,
0.012223843485116959,
-0.037567123770713806,
0.0946466326713562,
0.02918844297528267,
-0.019627150148153305,
0.1093275398015976,
0.02637319080531597,
0.051168497651815414,
0.005966239608824253,
-0.055300842970609665,
0.09264976531267166,
-0.023981504142284393,
0.05432410165667534,
0.005655674729496241,
-0.03424125537276268,
0.06955072283744812,
-0.014062520116567612,
0.04238642007112503,
-0.037375930696725845,
-0.006372762843966484,
-0.0852794498205185,
-4.3159310791907046e-8,
-0.0345597043633461,
-0.04797738417983055,
-0.03702779859304428,
0.058439403772354126,
-0.04313599690794945,
0.035665739327669144,
0.010387163609266281,
-0.041937556117773056,
-0.05182556062936783,
0.02334718033671379,
0.02929573878645897,
0.026567406952381134,
-0.002273117657750845,
0.05114753544330597,
0.02409219555556774,
0.01074475422501564,
0.01237610075622797,
-0.140029639005661,
-0.03259527310729027,
0.05845126509666443,
-0.06904467195272446,
0.020128563046455383,
-0.0951317623257637,
0.009245975874364376,
0.05328266695141792,
-0.015455041080713272,
-0.04190359264612198,
-0.01653001457452774,
0.05770643427968025,
0.06405407190322876,
-0.04723392426967621,
-0.09361863881349564,
0.06868291646242142,
-0.08035236597061157,
-0.023984108120203018,
0.08236069232225418,
-0.08089540898799896,
-0.032132234424352646,
0.008099743165075779,
0.010450096800923347,
0.07625985145568848,
-0.051066286861896515,
0.028841357678174973,
0.05912478640675545,
0.0533563531935215,
-0.03490819036960602,
0.059795863926410675,
-0.03495011851191521,
-0.05456972494721413,
-0.03165743872523308,
-0.003473020624369383,
-0.08648374676704407,
-0.014809581451117992,
-0.01752249151468277,
0.01981295831501484,
-0.02259436808526516,
0.05592499300837517,
0.000024072596715996042,
0.12670861184597015,
-0.02781834825873375,
0.054220303893089294,
0.041464000940322876,
-0.030936526134610176,
0.03143906220793724
] |
1401.8065
|
Yoshihiro Yura
|
Yoshihiro Yura and Hideki Takayasu and Didier Sornette and Misako
Takayasu
|
Financial Brownian particle in the layered order book fluid and
Fluctuation-Dissipation relations
| null | null |
10.1103/PhysRevLett.112.098703
| null |
q-fin.TR physics.data-an physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a novel description of the dynamics of the order book of
financial markets as that of an effective colloidal Brownian particle embedded
in fluid particles. The analysis of a comprehensive market data enables us to
identify all motions of the fluid particles. Correlations between the motions
of the Brownian particle and its surrounding fluid particles reflect specific
layering interactions; in the inner-layer, the correlation is strong and with
short memory while, in the outer-layer, it is weaker and with long memory. By
interpreting and estimating the contribution from the outer-layer as a drag
resistance, we demonstrate the validity of the fluctuation-dissipation relation
(FDR) in this non-material Brownian motion process.
|
[
{
"created": "Fri, 31 Jan 2014 05:29:40 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Yura",
"Yoshihiro",
""
],
[
"Takayasu",
"Hideki",
""
],
[
"Sornette",
"Didier",
""
],
[
"Takayasu",
"Misako",
""
]
] |
[
0.005761161912232637,
-0.10894530266523361,
0.033011119812726974,
0.08639588952064514,
0.07314231246709824,
-0.013571280054748058,
-0.004089423920959234,
-0.03311378136277199,
0.12791140377521515,
-0.012514673173427582,
-0.07061867415904999,
0.06657625734806061,
-0.03384419530630112,
-0.034231312572956085,
-0.04229027032852173,
-0.06137219816446304,
-0.0022945813834667206,
0.026468338444828987,
-0.026705998927354813,
0.054900046437978745,
-0.034645695239305496,
-0.05119623988866806,
-0.0319896936416626,
0.04584067687392235,
0.030405279248952866,
0.09405619651079178,
0.02205309271812439,
0.007221750915050507,
0.015131029300391674,
-0.07077643275260925,
0.043739158660173416,
0.005427756812423468,
-0.09183583408594131,
0.07395854592323303,
0.06045283004641533,
-0.06182543933391571,
-0.002223268384113908,
0.035190414637327194,
-0.03705634921789169,
-0.037334688007831573,
-0.01495795976370573,
0.02687150426208973,
-0.0305361058562994,
0.011012905277311802,
0.04746727645397186,
0.05965326726436615,
0.07410585880279541,
0.004198241513222456,
-0.017519645392894745,
0.058296628296375275,
-0.01356604602187872,
0.045871201902627945,
-0.09478700160980225,
0.07930467277765274,
-0.023539070039987564,
0.10940965265035629,
0.03491897135972977,
-0.010306312702596188,
0.04364696890115738,
-0.00829498004168272,
-0.0014877801295369864,
-0.007162444293498993,
0.01914961263537407,
0.05218430235981941,
0.024399030953645706,
0.049303825944662094,
-0.023036399856209755,
0.11182773113250732,
-0.02735774591565132,
0.0031710611656308174,
0.07434555888175964,
0.02102239988744259,
-0.06035633757710457,
0.04467925801873207,
-0.017279690131545067,
-0.03589216619729996,
0.02346765249967575,
-0.011688084341585636,
-0.023185381665825844,
-0.0028864897321909666,
-0.012627201154828072,
-0.025477780029177666,
0.07745307683944702,
-0.019514240324497223,
-0.019624296575784683,
0.025534937158226967,
0.042111609131097794,
0.014927279204130173,
-0.026172460988163948,
-0.0178817305713892,
0.0037944968789815903,
0.04629846289753914,
-0.05503139644861221,
-0.06496688723564148,
-0.009236203506588936,
-0.030027354136109352,
0.022720934823155403,
-0.00011512923811096698,
0.04715161770582199,
0.02602461539208889,
0.03176439180970192,
0.020905297249555588,
0.00924932211637497,
0.11120795458555222,
-0.004045697394758463,
-0.09441275894641876,
0.037632767111063004,
-0.04045673459768295,
0.00994193460792303,
-0.022998182103037834,
0.02016453631222248,
-0.0015345544088631868,
-0.023945942521095276,
0.04210297763347626,
-0.07311496883630753,
-0.05946478992700577,
-0.0131685184314847,
-0.0565343052148819,
-0.022441504523158073,
0.009492624551057816,
0.017593661323189735,
0.05415435880422592,
-0.10764759033918381,
0.023228313773870468,
-0.06911908835172653,
-0.021678157150745392,
0.0373319573700428,
-3.163420969297845e-33,
-0.001834540511481464,
-0.10447917878627777,
-0.02505575120449066,
-0.012791641987860203,
-0.012063316069543362,
0.005605995189398527,
0.007747364230453968,
-0.06949720531702042,
-0.018869074061512947,
0.033876024186611176,
-0.04491066932678223,
0.036083489656448364,
-0.1045539528131485,
-0.028569795191287994,
-0.009622407145798206,
-0.05144811421632767,
-0.019369810819625854,
-0.026953930035233498,
0.07286740094423294,
-0.0560271292924881,
0.014539185911417007,
0.027250243350863457,
-0.04166453704237938,
-0.043609868735075,
-0.023078609257936478,
0.005501099396497011,
-0.06952137500047684,
-0.013149550184607506,
0.07975546270608902,
0.06016716733574867,
-0.007611902896314859,
0.028889602050185204,
-0.05577649921178818,
0.009688387624919415,
0.031392648816108704,
-0.033904410898685455,
-0.07411332428455353,
-0.0359758660197258,
0.012255256995558739,
-0.04352985695004463,
-0.06221368536353111,
-0.007432469166815281,
-0.03425861522555351,
-0.01416450459510088,
-0.1157606914639473,
0.01593661680817604,
0.10190092027187347,
-0.05700770393013954,
-0.026097115129232407,
-0.10100025683641434,
-0.005427507683634758,
0.02328319102525711,
0.02327059954404831,
-0.038445811718702316,
0.026269756257534027,
-0.0559714138507843,
0.0739457830786705,
-0.07044132053852081,
-0.06279981136322021,
-0.0017086876323446631,
-0.030017154291272163,
0.10070887953042984,
-0.0160773154348135,
-0.04014123976230621,
0.00466166390106082,
0.09192071110010147,
-0.023135202005505562,
0.13535115122795105,
-0.0008072631899267435,
-0.01941586099565029,
0.03153330832719803,
0.025833945721387863,
0.014402768574655056,
-0.03221563622355461,
0.061767593026161194,
-0.015721317380666733,
0.04038277640938759,
-0.05482076108455658,
-0.001516696298494935,
0.009394839406013489,
-0.032357972115278244,
-0.1476326584815979,
-0.01726626046001911,
0.0033108340576291084,
-0.10790193825960159,
0.02915026806294918,
0.038379378616809845,
-0.003862779587507248,
-0.01758909784257412,
-0.09017720073461533,
0.027384908869862556,
-0.06675835698843002,
0.08263010531663895,
0.04648320749402046,
0.023928456008434296,
-6.657004965456565e-34,
-0.07457144558429718,
-0.016913166269659996,
-0.005085972137749195,
0.10005965083837509,
-0.02089248225092888,
0.04126932844519615,
-0.013064584694802761,
0.006852026097476482,
0.08003905415534973,
0.016669319942593575,
-0.038516778498888016,
-0.03417045250535011,
-0.08757396787405014,
0.04405256733298302,
0.01595619134604931,
0.007124108262360096,
-0.004405301064252853,
-0.03910461440682411,
0.0226206686347723,
-0.10315320640802383,
-0.12139299511909485,
0.024823898449540138,
0.09074412286281586,
-0.004503690171986818,
-0.055730175226926804,
0.004545383621007204,
0.0066529531031847,
-0.0018625808879733086,
-0.03625495359301567,
0.033548854291439056,
-0.07359620928764343,
0.02368299290537834,
0.08076933771371841,
0.00982831884175539,
-0.06467673182487488,
0.045336540788412094,
0.03915701434016228,
0.004613534547388554,
-0.007631354499608278,
-0.05059614032506943,
0.0330374576151371,
0.02465883642435074,
0.04727664962410927,
-0.022801598533988,
0.06621500849723816,
-0.00533598568290472,
-0.03802356868982315,
0.012039311230182648,
0.13459785282611847,
0.04358347877860069,
-0.005162790883332491,
0.12320546060800552,
-0.007195102982223034,
0.05135134235024452,
-0.0570741668343544,
0.06112785264849663,
-0.025645902380347252,
-0.02256484515964985,
-0.024823280051350594,
0.0030640438199043274,
-0.06210515275597572,
-0.021637458354234695,
-0.0011338659096509218,
-0.01278490386903286,
0.02834775485098362,
0.01468496210873127,
-0.08045797795057297,
-0.03837207704782486,
0.07555407285690308,
-0.07283235341310501,
0.04881015419960022,
-0.04309215024113655,
0.02473665401339531,
-0.021335041150450706,
0.07731946557760239,
-0.03356954827904701,
0.11658141016960144,
0.01797090284526348,
-0.03675532341003418,
0.05407670512795448,
-0.04748958721756935,
0.13779760897159576,
-0.03689444065093994,
-0.00033851293846964836,
-0.00626981258392334,
-0.062407638877630234,
-0.03421198949217796,
-0.09213951975107193,
-0.031570568680763245,
0.003509619040414691,
0.04578773304820061,
-0.016795208677649498,
0.12751033902168274,
-0.020128564909100533,
-0.035395730286836624,
-4.3575752783908683e-8,
-0.010222069919109344,
-0.07220692187547684,
0.08923647552728653,
0.019018834456801414,
0.09175016731023788,
0.06890508532524109,
0.05201232060790062,
0.017759619280695915,
0.012419565580785275,
0.012320105917751789,
0.05625574663281441,
0.018122972920536995,
-0.06532719731330872,
-0.06441235542297363,
-0.030928730964660645,
0.048472221940755844,
-0.007795407902449369,
-0.12633007764816284,
-0.011070052161812782,
-0.08011527359485626,
0.07129094004631042,
0.04154728725552559,
0.07060108333826065,
0.053147897124290466,
-0.01986425369977951,
0.061237648129463196,
-0.006283135153353214,
-0.0720125213265419,
-0.012896313332021236,
0.053494058549404144,
-0.07980295270681381,
0.04658108204603195,
-0.0335947684943676,
-0.015196749940514565,
-0.04149012267589569,
0.052213337272405624,
0.07010173797607422,
0.0901508778333664,
-0.0695757269859314,
-0.010974501259624958,
-0.05317474156618118,
0.007146360352635384,
-0.011632485315203667,
-0.004672390408813953,
0.024698026478290558,
0.03593367710709572,
-0.06846567988395691,
-0.02566501870751381,
0.05908970534801483,
-0.024625279009342194,
0.016166100278496742,
-0.003644280368462205,
0.007372637744992971,
0.1324550062417984,
0.016981113702058792,
-0.04522796347737312,
-0.04917110130190849,
-0.007361995987594128,
-0.06232327222824097,
-0.08078459650278091,
0.008338910527527332,
-0.02862558513879776,
-0.022557320073246956,
0.06933647394180298
] | null | null | null | null | null | null | null |
[
0.005761161912232637,
-0.10894530266523361,
0.033011119812726974,
0.08639588952064514,
0.07314231246709824,
-0.013571280054748058,
-0.004089423920959234,
-0.03311378136277199,
0.12791140377521515,
-0.012514673173427582,
-0.07061867415904999,
0.06657625734806061,
-0.03384419530630112,
-0.034231312572956085,
-0.04229027032852173,
-0.06137219816446304,
-0.0022945813834667206,
0.026468338444828987,
-0.026705998927354813,
0.054900046437978745,
-0.034645695239305496,
-0.05119623988866806,
-0.0319896936416626,
0.04584067687392235,
0.030405279248952866,
0.09405619651079178,
0.02205309271812439,
0.007221750915050507,
0.015131029300391674,
-0.07077643275260925,
0.043739158660173416,
0.005427756812423468,
-0.09183583408594131,
0.07395854592323303,
0.06045283004641533,
-0.06182543933391571,
-0.002223268384113908,
0.035190414637327194,
-0.03705634921789169,
-0.037334688007831573,
-0.01495795976370573,
0.02687150426208973,
-0.0305361058562994,
0.011012905277311802,
0.04746727645397186,
0.05965326726436615,
0.07410585880279541,
0.004198241513222456,
-0.017519645392894745,
0.058296628296375275,
-0.01356604602187872,
0.045871201902627945,
-0.09478700160980225,
0.07930467277765274,
-0.023539070039987564,
0.10940965265035629,
0.03491897135972977,
-0.010306312702596188,
0.04364696890115738,
-0.00829498004168272,
-0.0014877801295369864,
-0.007162444293498993,
0.01914961263537407,
0.05218430235981941,
0.024399030953645706,
0.049303825944662094,
-0.023036399856209755,
0.11182773113250732,
-0.02735774591565132,
0.0031710611656308174,
0.07434555888175964,
0.02102239988744259,
-0.06035633757710457,
0.04467925801873207,
-0.017279690131545067,
-0.03589216619729996,
0.02346765249967575,
-0.011688084341585636,
-0.023185381665825844,
-0.0028864897321909666,
-0.012627201154828072,
-0.025477780029177666,
0.07745307683944702,
-0.019514240324497223,
-0.019624296575784683,
0.025534937158226967,
0.042111609131097794,
0.014927279204130173,
-0.026172460988163948,
-0.0178817305713892,
0.0037944968789815903,
0.04629846289753914,
-0.05503139644861221,
-0.06496688723564148,
-0.009236203506588936,
-0.030027354136109352,
0.022720934823155403,
-0.00011512923811096698,
0.04715161770582199,
0.02602461539208889,
0.03176439180970192,
0.020905297249555588,
0.00924932211637497,
0.11120795458555222,
-0.004045697394758463,
-0.09441275894641876,
0.037632767111063004,
-0.04045673459768295,
0.00994193460792303,
-0.022998182103037834,
0.02016453631222248,
-0.0015345544088631868,
-0.023945942521095276,
0.04210297763347626,
-0.07311496883630753,
-0.05946478992700577,
-0.0131685184314847,
-0.0565343052148819,
-0.022441504523158073,
0.009492624551057816,
0.017593661323189735,
0.05415435880422592,
-0.10764759033918381,
0.023228313773870468,
-0.06911908835172653,
-0.021678157150745392,
0.0373319573700428,
-3.163420969297845e-33,
-0.001834540511481464,
-0.10447917878627777,
-0.02505575120449066,
-0.012791641987860203,
-0.012063316069543362,
0.005605995189398527,
0.007747364230453968,
-0.06949720531702042,
-0.018869074061512947,
0.033876024186611176,
-0.04491066932678223,
0.036083489656448364,
-0.1045539528131485,
-0.028569795191287994,
-0.009622407145798206,
-0.05144811421632767,
-0.019369810819625854,
-0.026953930035233498,
0.07286740094423294,
-0.0560271292924881,
0.014539185911417007,
0.027250243350863457,
-0.04166453704237938,
-0.043609868735075,
-0.023078609257936478,
0.005501099396497011,
-0.06952137500047684,
-0.013149550184607506,
0.07975546270608902,
0.06016716733574867,
-0.007611902896314859,
0.028889602050185204,
-0.05577649921178818,
0.009688387624919415,
0.031392648816108704,
-0.033904410898685455,
-0.07411332428455353,
-0.0359758660197258,
0.012255256995558739,
-0.04352985695004463,
-0.06221368536353111,
-0.007432469166815281,
-0.03425861522555351,
-0.01416450459510088,
-0.1157606914639473,
0.01593661680817604,
0.10190092027187347,
-0.05700770393013954,
-0.026097115129232407,
-0.10100025683641434,
-0.005427507683634758,
0.02328319102525711,
0.02327059954404831,
-0.038445811718702316,
0.026269756257534027,
-0.0559714138507843,
0.0739457830786705,
-0.07044132053852081,
-0.06279981136322021,
-0.0017086876323446631,
-0.030017154291272163,
0.10070887953042984,
-0.0160773154348135,
-0.04014123976230621,
0.00466166390106082,
0.09192071110010147,
-0.023135202005505562,
0.13535115122795105,
-0.0008072631899267435,
-0.01941586099565029,
0.03153330832719803,
0.025833945721387863,
0.014402768574655056,
-0.03221563622355461,
0.061767593026161194,
-0.015721317380666733,
0.04038277640938759,
-0.05482076108455658,
-0.001516696298494935,
0.009394839406013489,
-0.032357972115278244,
-0.1476326584815979,
-0.01726626046001911,
0.0033108340576291084,
-0.10790193825960159,
0.02915026806294918,
0.038379378616809845,
-0.003862779587507248,
-0.01758909784257412,
-0.09017720073461533,
0.027384908869862556,
-0.06675835698843002,
0.08263010531663895,
0.04648320749402046,
0.023928456008434296,
-6.657004965456565e-34,
-0.07457144558429718,
-0.016913166269659996,
-0.005085972137749195,
0.10005965083837509,
-0.02089248225092888,
0.04126932844519615,
-0.013064584694802761,
0.006852026097476482,
0.08003905415534973,
0.016669319942593575,
-0.038516778498888016,
-0.03417045250535011,
-0.08757396787405014,
0.04405256733298302,
0.01595619134604931,
0.007124108262360096,
-0.004405301064252853,
-0.03910461440682411,
0.0226206686347723,
-0.10315320640802383,
-0.12139299511909485,
0.024823898449540138,
0.09074412286281586,
-0.004503690171986818,
-0.055730175226926804,
0.004545383621007204,
0.0066529531031847,
-0.0018625808879733086,
-0.03625495359301567,
0.033548854291439056,
-0.07359620928764343,
0.02368299290537834,
0.08076933771371841,
0.00982831884175539,
-0.06467673182487488,
0.045336540788412094,
0.03915701434016228,
0.004613534547388554,
-0.007631354499608278,
-0.05059614032506943,
0.0330374576151371,
0.02465883642435074,
0.04727664962410927,
-0.022801598533988,
0.06621500849723816,
-0.00533598568290472,
-0.03802356868982315,
0.012039311230182648,
0.13459785282611847,
0.04358347877860069,
-0.005162790883332491,
0.12320546060800552,
-0.007195102982223034,
0.05135134235024452,
-0.0570741668343544,
0.06112785264849663,
-0.025645902380347252,
-0.02256484515964985,
-0.024823280051350594,
0.0030640438199043274,
-0.06210515275597572,
-0.021637458354234695,
-0.0011338659096509218,
-0.01278490386903286,
0.02834775485098362,
0.01468496210873127,
-0.08045797795057297,
-0.03837207704782486,
0.07555407285690308,
-0.07283235341310501,
0.04881015419960022,
-0.04309215024113655,
0.02473665401339531,
-0.021335041150450706,
0.07731946557760239,
-0.03356954827904701,
0.11658141016960144,
0.01797090284526348,
-0.03675532341003418,
0.05407670512795448,
-0.04748958721756935,
0.13779760897159576,
-0.03689444065093994,
-0.00033851293846964836,
-0.00626981258392334,
-0.062407638877630234,
-0.03421198949217796,
-0.09213951975107193,
-0.031570568680763245,
0.003509619040414691,
0.04578773304820061,
-0.016795208677649498,
0.12751033902168274,
-0.020128564909100533,
-0.035395730286836624,
-4.3575752783908683e-8,
-0.010222069919109344,
-0.07220692187547684,
0.08923647552728653,
0.019018834456801414,
0.09175016731023788,
0.06890508532524109,
0.05201232060790062,
0.017759619280695915,
0.012419565580785275,
0.012320105917751789,
0.05625574663281441,
0.018122972920536995,
-0.06532719731330872,
-0.06441235542297363,
-0.030928730964660645,
0.048472221940755844,
-0.007795407902449369,
-0.12633007764816284,
-0.011070052161812782,
-0.08011527359485626,
0.07129094004631042,
0.04154728725552559,
0.07060108333826065,
0.053147897124290466,
-0.01986425369977951,
0.061237648129463196,
-0.006283135153353214,
-0.0720125213265419,
-0.012896313332021236,
0.053494058549404144,
-0.07980295270681381,
0.04658108204603195,
-0.0335947684943676,
-0.015196749940514565,
-0.04149012267589569,
0.052213337272405624,
0.07010173797607422,
0.0901508778333664,
-0.0695757269859314,
-0.010974501259624958,
-0.05317474156618118,
0.007146360352635384,
-0.011632485315203667,
-0.004672390408813953,
0.024698026478290558,
0.03593367710709572,
-0.06846567988395691,
-0.02566501870751381,
0.05908970534801483,
-0.024625279009342194,
0.016166100278496742,
-0.003644280368462205,
0.007372637744992971,
0.1324550062417984,
0.016981113702058792,
-0.04522796347737312,
-0.04917110130190849,
-0.007361995987594128,
-0.06232327222824097,
-0.08078459650278091,
0.008338910527527332,
-0.02862558513879776,
-0.022557320073246956,
0.06933647394180298
] |
1401.8069
|
Reena Philips Mrs
|
Rashmi N, Suma V
|
Defect Detection Efficiency A Combined Approach
|
6 Pages, 2 Figures
|
International Journal of Advanced Computer Research (ISSN (print):
2249 - 7277 ISSN (online): 2277 - 7970) Volume - 3 Number - 3 Issue - 11
September - 2013
| null | null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Survival of IT industries depends much upon the development of high quality
and customer satisfied software products. Quality however can be viewed from
various perspectives such as deployment of the products within estimated
resources, constrains and also being defect free. Testing is one of the
promising techniques ever since the inception of software in the global market.
Though there are several testing techniques existing, the most widely accepted
is the conventional scripted testing. Despite of advancement in the technology,
achieving defect free deliverables is yet a challenge. This paper therefore
aims to enhance the existing testing techniques in order to achieve nearly zero
defect products through the combined approach of scripted and exploratory
testing. This approach thus enables the testing team to capture maximum defects
and thereby reduce the expensive nature of overheads. Further, it leads towards
generation of high quality products and assures the continued customer
satisfaction.
|
[
{
"created": "Fri, 31 Jan 2014 06:48:59 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"N",
"Rashmi",
""
],
[
"V",
"Suma",
""
]
] |
[
-0.035561323165893555,
0.06100798025727272,
0.014020656235516071,
-0.01532655954360962,
0.0004798205045517534,
-0.08219854533672333,
-0.01359829492866993,
0.0608474425971508,
-0.058839891105890274,
0.0039078788831830025,
0.0198967345058918,
-0.06819137185811996,
0.08467505872249603,
-0.0007335896953009069,
0.03621462360024452,
-0.04578882455825806,
0.02407711371779442,
-0.04308890551328659,
0.03676770627498627,
-0.0731944590806961,
-0.00888433214277029,
-0.012311986647546291,
-0.02060326561331749,
0.00946883112192154,
-0.04331338405609131,
-0.04537481069564819,
-0.03138509392738342,
-0.08263273537158966,
0.02067609317600727,
-0.03641851991415024,
0.059692855924367905,
0.0421450212597847,
-0.01392708532512188,
0.00903500709682703,
0.17756077647209167,
-0.043851159512996674,
0.033268414437770844,
0.020032193511724472,
-0.03735480457544327,
-0.0641341358423233,
-0.011125059798359871,
0.004321384243667126,
-0.053091131150722504,
0.0421789176762104,
0.022864649072289467,
-0.004734558518975973,
0.0030781656969338655,
-0.0021663918159902096,
-0.016781412065029144,
0.01105518825352192,
-0.04020792618393898,
-0.01419682614505291,
-0.007110512349754572,
-0.051258523017168045,
0.0011389466235414147,
-0.042576827108860016,
0.06705974787473679,
-0.05320564657449722,
-0.016992587596178055,
0.024069614708423615,
0.04586392268538475,
-0.057025693356990814,
-0.0031865390483289957,
-0.03284864500164986,
-0.02183416858315468,
0.028623448684811592,
0.03968942537903786,
-0.0426749512553215,
-0.042663607746362686,
0.022591345012187958,
-0.09716179966926575,
0.009796842001378536,
-0.00812465138733387,
0.03763119503855705,
0.017293794080615044,
0.09860628098249435,
-0.020397232845425606,
-0.03931468352675438,
0.022066630423069,
0.008171827532351017,
-0.08995994180440903,
-0.057946085929870605,
-0.07011949270963669,
0.03776675835251808,
0.000048800502554513514,
0.09017638117074966,
0.08334328234195709,
0.025580689311027527,
-0.005760053638368845,
0.04962479695677757,
-0.02323061041533947,
0.08722856640815735,
-0.04941314458847046,
0.024037495255470276,
-0.043471645563840866,
0.024600232020020485,
0.054947927594184875,
-0.0749732255935669,
0.024305788800120354,
0.045467693358659744,
-0.006834661588072777,
-0.028663745149970055,
0.06032409891486168,
-0.11538475751876831,
-0.07787244021892548,
0.036177024245262146,
0.041349176317453384,
-0.06602989137172699,
0.08900578320026398,
-0.03001023456454277,
-0.07270661741495132,
-0.04623575136065483,
0.031878404319286346,
-0.08426638692617416,
0.015112033113837242,
-0.023952994495630264,
-0.07703377306461334,
0.07827894389629364,
-0.07226736843585968,
0.008598730899393559,
0.13685226440429688,
0.08834126591682434,
0.024956870824098587,
-0.0073633925057947636,
-0.005301665980368853,
0.01920461095869541,
0.061201103031635284,
2.805348675977075e-33,
0.01263031642884016,
-0.026010338217020035,
-0.06381220370531082,
0.02989066392183304,
0.03381161764264107,
-0.0005481302505359054,
0.05226545408368111,
0.12858735024929047,
-0.06560289859771729,
0.038452550768852234,
0.002709371503442526,
-0.058002863079309464,
-0.06371372193098068,
0.017313063144683838,
0.008688297122716904,
0.01665819250047207,
-0.012510649859905243,
0.041502565145492554,
-0.005797178950160742,
0.01926654577255249,
-0.005143248476088047,
-0.038278546184301376,
0.015454157255589962,
-0.06186986342072487,
0.016075514256954193,
-0.007807201240211725,
0.01077704131603241,
0.07069507986307144,
0.019795458763837814,
0.010308648459613323,
-0.026345614343881607,
0.018879825249314308,
-0.023597925901412964,
0.05422237515449524,
-0.041771747171878815,
-0.022107617929577827,
-0.07866289466619492,
-0.017402201890945435,
0.006561782211065292,
0.15783973038196564,
-0.06697771698236465,
-0.03748444840312004,
-0.030505118891596794,
0.020773736760020256,
0.06269660592079163,
0.019989460706710815,
-0.02738080732524395,
-0.05759919807314873,
0.018946940079331398,
-0.09264940023422241,
-0.05392003804445267,
-0.016029736027121544,
0.09826286137104034,
0.02882733941078186,
-0.035759031772613525,
0.045997023582458496,
0.028048314154148102,
-0.10261577367782593,
0.030742986127734184,
0.07115083932876587,
-0.07170908153057098,
0.016333742067217827,
-0.037413015961647034,
0.03902089223265648,
-0.01546305138617754,
-0.06712344288825989,
0.07663626223802567,
-0.11102968454360962,
-0.00828817579895258,
-0.005207744427025318,
0.03688403218984604,
0.009392717853188515,
-0.05018449202179909,
0.004268225748091936,
-0.029418908059597015,
-0.07814735919237137,
0.09333857148885727,
0.04362407326698303,
0.012358388863503933,
-0.06698358058929443,
0.04755884036421776,
-0.024569189175963402,
-0.004057017620652914,
-0.040833018720149994,
0.031183041632175446,
0.021344449371099472,
-0.058286409825086594,
0.01564010977745056,
-0.037088543176651,
-0.027460379526019096,
-0.011406902223825455,
0.013273726217448711,
-0.014286194927990437,
-0.018100207671523094,
0.1369258612394333,
-4.1814460968839786e-33,
-0.020451365038752556,
0.04917243868112564,
-0.03611353039741516,
0.11625829339027405,
-0.001299604307860136,
-0.054887522011995316,
-0.038052741438150406,
-0.00398718798533082,
0.005254996940493584,
0.05074456334114075,
-0.046623099595308304,
-0.1175243929028511,
-0.032099995762109756,
-0.009134099818766117,
-0.04658537358045578,
-0.006914123427122831,
0.037604596465826035,
-0.0549435131251812,
0.03320985287427902,
0.03602077066898346,
0.049021344631910324,
0.0853370800614357,
-0.013036776334047318,
-0.05395999923348427,
-0.0357273668050766,
-0.038027599453926086,
-0.0527038499712944,
0.06453661620616913,
0.012384693138301373,
0.01294601522386074,
0.02116258069872856,
0.10432246327400208,
-0.07143084704875946,
0.044501230120658875,
0.05941765010356903,
-0.04962855949997902,
0.06720373034477234,
0.0002382677630521357,
0.08704548329114914,
0.0488557443022728,
0.06498225778341293,
0.04446066915988922,
-0.0765741840004921,
-0.009376036934554577,
0.03534216061234474,
0.028492797166109085,
0.030626218765974045,
-0.03480193018913269,
0.042733751237392426,
0.0034377011470496655,
-0.028906570747494698,
0.021578069776296616,
-0.006258141715079546,
-0.03506125137209892,
-0.02709547057747841,
-0.037930022925138474,
-0.014032840728759766,
-0.01984689198434353,
0.009860179387032986,
0.023502737283706665,
-0.041679974645376205,
-0.019064508378505707,
0.0837290957570076,
-0.007578769698739052,
-0.00271148094907403,
0.00799509882926941,
0.0862131267786026,
0.05944126099348068,
-0.044600486755371094,
-0.002509895246475935,
0.01591099053621292,
0.003026083344593644,
-0.06418734043836594,
0.0021746347192674875,
0.07777709513902664,
0.0218325424939394,
-0.1306232064962387,
-0.06726482510566711,
0.021362673491239548,
-0.0468934141099453,
0.05205557495355606,
0.004525413736701012,
-0.016950905323028564,
0.03389308601617813,
-0.03794045373797417,
0.061454348266124725,
0.03635646402835846,
0.04082139581441879,
0.04352038353681564,
0.02737327851355076,
-0.0845334604382515,
0.0885440856218338,
0.013851421885192394,
0.04388562589883804,
-0.04506152495741844,
-4.7976079997624765e-8,
-0.03137144073843956,
-0.045950356870889664,
0.002176861511543393,
0.016462070867419243,
-0.06454424560070038,
-0.01093803346157074,
-0.012894553132355213,
0.06434396654367447,
0.01483473926782608,
-0.03416292741894722,
-0.02770772948861122,
-0.04570316895842552,
-0.06649883091449738,
0.14676199853420258,
-0.01133529283106327,
0.02951669692993164,
-0.061952169984579086,
0.07311476767063141,
-0.010930110700428486,
-0.017075978219509125,
-0.024125197902321815,
0.07768309116363525,
0.1049426943063736,
-0.03911004215478897,
-0.015085107646882534,
-0.0717603787779808,
0.09117522835731506,
0.048412200063467026,
0.057420458644628525,
-0.003544473322108388,
0.05476206913590431,
-0.06316409260034561,
0.06421999633312225,
-0.039909910410642624,
0.02145102061331272,
0.06561920791864395,
0.042139068245887756,
0.0671507939696312,
0.012056741863489151,
-0.038879916071891785,
-0.047970253974199295,
0.09030948579311371,
-0.004625995177775621,
-0.027043532580137253,
-0.06708280742168427,
-0.163883775472641,
-0.05527838319540024,
-0.08218546211719513,
-0.03188784047961235,
-0.12572337687015533,
0.0017918646335601807,
0.005420354660600424,
-0.06530245393514633,
0.04194149002432823,
-0.04202691465616226,
0.021422425284981728,
0.025774290785193443,
0.02239408530294895,
0.039263445883989334,
0.061974380165338516,
-0.001963675720617175,
-0.03694579750299454,
0.026276500895619392,
-0.03250424563884735
] | null | null | null | null | null | null | null |
[
-0.035561323165893555,
0.06100798025727272,
0.014020656235516071,
-0.01532655954360962,
0.0004798205045517534,
-0.08219854533672333,
-0.01359829492866993,
0.0608474425971508,
-0.058839891105890274,
0.0039078788831830025,
0.0198967345058918,
-0.06819137185811996,
0.08467505872249603,
-0.0007335896953009069,
0.03621462360024452,
-0.04578882455825806,
0.02407711371779442,
-0.04308890551328659,
0.03676770627498627,
-0.0731944590806961,
-0.00888433214277029,
-0.012311986647546291,
-0.02060326561331749,
0.00946883112192154,
-0.04331338405609131,
-0.04537481069564819,
-0.03138509392738342,
-0.08263273537158966,
0.02067609317600727,
-0.03641851991415024,
0.059692855924367905,
0.0421450212597847,
-0.01392708532512188,
0.00903500709682703,
0.17756077647209167,
-0.043851159512996674,
0.033268414437770844,
0.020032193511724472,
-0.03735480457544327,
-0.0641341358423233,
-0.011125059798359871,
0.004321384243667126,
-0.053091131150722504,
0.0421789176762104,
0.022864649072289467,
-0.004734558518975973,
0.0030781656969338655,
-0.0021663918159902096,
-0.016781412065029144,
0.01105518825352192,
-0.04020792618393898,
-0.01419682614505291,
-0.007110512349754572,
-0.051258523017168045,
0.0011389466235414147,
-0.042576827108860016,
0.06705974787473679,
-0.05320564657449722,
-0.016992587596178055,
0.024069614708423615,
0.04586392268538475,
-0.057025693356990814,
-0.0031865390483289957,
-0.03284864500164986,
-0.02183416858315468,
0.028623448684811592,
0.03968942537903786,
-0.0426749512553215,
-0.042663607746362686,
0.022591345012187958,
-0.09716179966926575,
0.009796842001378536,
-0.00812465138733387,
0.03763119503855705,
0.017293794080615044,
0.09860628098249435,
-0.020397232845425606,
-0.03931468352675438,
0.022066630423069,
0.008171827532351017,
-0.08995994180440903,
-0.057946085929870605,
-0.07011949270963669,
0.03776675835251808,
0.000048800502554513514,
0.09017638117074966,
0.08334328234195709,
0.025580689311027527,
-0.005760053638368845,
0.04962479695677757,
-0.02323061041533947,
0.08722856640815735,
-0.04941314458847046,
0.024037495255470276,
-0.043471645563840866,
0.024600232020020485,
0.054947927594184875,
-0.0749732255935669,
0.024305788800120354,
0.045467693358659744,
-0.006834661588072777,
-0.028663745149970055,
0.06032409891486168,
-0.11538475751876831,
-0.07787244021892548,
0.036177024245262146,
0.041349176317453384,
-0.06602989137172699,
0.08900578320026398,
-0.03001023456454277,
-0.07270661741495132,
-0.04623575136065483,
0.031878404319286346,
-0.08426638692617416,
0.015112033113837242,
-0.023952994495630264,
-0.07703377306461334,
0.07827894389629364,
-0.07226736843585968,
0.008598730899393559,
0.13685226440429688,
0.08834126591682434,
0.024956870824098587,
-0.0073633925057947636,
-0.005301665980368853,
0.01920461095869541,
0.061201103031635284,
2.805348675977075e-33,
0.01263031642884016,
-0.026010338217020035,
-0.06381220370531082,
0.02989066392183304,
0.03381161764264107,
-0.0005481302505359054,
0.05226545408368111,
0.12858735024929047,
-0.06560289859771729,
0.038452550768852234,
0.002709371503442526,
-0.058002863079309464,
-0.06371372193098068,
0.017313063144683838,
0.008688297122716904,
0.01665819250047207,
-0.012510649859905243,
0.041502565145492554,
-0.005797178950160742,
0.01926654577255249,
-0.005143248476088047,
-0.038278546184301376,
0.015454157255589962,
-0.06186986342072487,
0.016075514256954193,
-0.007807201240211725,
0.01077704131603241,
0.07069507986307144,
0.019795458763837814,
0.010308648459613323,
-0.026345614343881607,
0.018879825249314308,
-0.023597925901412964,
0.05422237515449524,
-0.041771747171878815,
-0.022107617929577827,
-0.07866289466619492,
-0.017402201890945435,
0.006561782211065292,
0.15783973038196564,
-0.06697771698236465,
-0.03748444840312004,
-0.030505118891596794,
0.020773736760020256,
0.06269660592079163,
0.019989460706710815,
-0.02738080732524395,
-0.05759919807314873,
0.018946940079331398,
-0.09264940023422241,
-0.05392003804445267,
-0.016029736027121544,
0.09826286137104034,
0.02882733941078186,
-0.035759031772613525,
0.045997023582458496,
0.028048314154148102,
-0.10261577367782593,
0.030742986127734184,
0.07115083932876587,
-0.07170908153057098,
0.016333742067217827,
-0.037413015961647034,
0.03902089223265648,
-0.01546305138617754,
-0.06712344288825989,
0.07663626223802567,
-0.11102968454360962,
-0.00828817579895258,
-0.005207744427025318,
0.03688403218984604,
0.009392717853188515,
-0.05018449202179909,
0.004268225748091936,
-0.029418908059597015,
-0.07814735919237137,
0.09333857148885727,
0.04362407326698303,
0.012358388863503933,
-0.06698358058929443,
0.04755884036421776,
-0.024569189175963402,
-0.004057017620652914,
-0.040833018720149994,
0.031183041632175446,
0.021344449371099472,
-0.058286409825086594,
0.01564010977745056,
-0.037088543176651,
-0.027460379526019096,
-0.011406902223825455,
0.013273726217448711,
-0.014286194927990437,
-0.018100207671523094,
0.1369258612394333,
-4.1814460968839786e-33,
-0.020451365038752556,
0.04917243868112564,
-0.03611353039741516,
0.11625829339027405,
-0.001299604307860136,
-0.054887522011995316,
-0.038052741438150406,
-0.00398718798533082,
0.005254996940493584,
0.05074456334114075,
-0.046623099595308304,
-0.1175243929028511,
-0.032099995762109756,
-0.009134099818766117,
-0.04658537358045578,
-0.006914123427122831,
0.037604596465826035,
-0.0549435131251812,
0.03320985287427902,
0.03602077066898346,
0.049021344631910324,
0.0853370800614357,
-0.013036776334047318,
-0.05395999923348427,
-0.0357273668050766,
-0.038027599453926086,
-0.0527038499712944,
0.06453661620616913,
0.012384693138301373,
0.01294601522386074,
0.02116258069872856,
0.10432246327400208,
-0.07143084704875946,
0.044501230120658875,
0.05941765010356903,
-0.04962855949997902,
0.06720373034477234,
0.0002382677630521357,
0.08704548329114914,
0.0488557443022728,
0.06498225778341293,
0.04446066915988922,
-0.0765741840004921,
-0.009376036934554577,
0.03534216061234474,
0.028492797166109085,
0.030626218765974045,
-0.03480193018913269,
0.042733751237392426,
0.0034377011470496655,
-0.028906570747494698,
0.021578069776296616,
-0.006258141715079546,
-0.03506125137209892,
-0.02709547057747841,
-0.037930022925138474,
-0.014032840728759766,
-0.01984689198434353,
0.009860179387032986,
0.023502737283706665,
-0.041679974645376205,
-0.019064508378505707,
0.0837290957570076,
-0.007578769698739052,
-0.00271148094907403,
0.00799509882926941,
0.0862131267786026,
0.05944126099348068,
-0.044600486755371094,
-0.002509895246475935,
0.01591099053621292,
0.003026083344593644,
-0.06418734043836594,
0.0021746347192674875,
0.07777709513902664,
0.0218325424939394,
-0.1306232064962387,
-0.06726482510566711,
0.021362673491239548,
-0.0468934141099453,
0.05205557495355606,
0.004525413736701012,
-0.016950905323028564,
0.03389308601617813,
-0.03794045373797417,
0.061454348266124725,
0.03635646402835846,
0.04082139581441879,
0.04352038353681564,
0.02737327851355076,
-0.0845334604382515,
0.0885440856218338,
0.013851421885192394,
0.04388562589883804,
-0.04506152495741844,
-4.7976079997624765e-8,
-0.03137144073843956,
-0.045950356870889664,
0.002176861511543393,
0.016462070867419243,
-0.06454424560070038,
-0.01093803346157074,
-0.012894553132355213,
0.06434396654367447,
0.01483473926782608,
-0.03416292741894722,
-0.02770772948861122,
-0.04570316895842552,
-0.06649883091449738,
0.14676199853420258,
-0.01133529283106327,
0.02951669692993164,
-0.061952169984579086,
0.07311476767063141,
-0.010930110700428486,
-0.017075978219509125,
-0.024125197902321815,
0.07768309116363525,
0.1049426943063736,
-0.03911004215478897,
-0.015085107646882534,
-0.0717603787779808,
0.09117522835731506,
0.048412200063467026,
0.057420458644628525,
-0.003544473322108388,
0.05476206913590431,
-0.06316409260034561,
0.06421999633312225,
-0.039909910410642624,
0.02145102061331272,
0.06561920791864395,
0.042139068245887756,
0.0671507939696312,
0.012056741863489151,
-0.038879916071891785,
-0.047970253974199295,
0.09030948579311371,
-0.004625995177775621,
-0.027043532580137253,
-0.06708280742168427,
-0.163883775472641,
-0.05527838319540024,
-0.08218546211719513,
-0.03188784047961235,
-0.12572337687015533,
0.0017918646335601807,
0.005420354660600424,
-0.06530245393514633,
0.04194149002432823,
-0.04202691465616226,
0.021422425284981728,
0.025774290785193443,
0.02239408530294895,
0.039263445883989334,
0.061974380165338516,
-0.001963675720617175,
-0.03694579750299454,
0.026276500895619392,
-0.03250424563884735
] |
1401.8071
|
Sascha Kurz
|
Miriam Kie{\ss}ling, Sascha Kurz, and J\"org Rambau
|
An exact column-generation approach for the lot-type design problem --
extended abstract
|
4 pages, 2 tables, presented at ISCO 2012
| null | null | null |
math.OC cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a fashion discounter that supplies any of its many branches with
an integral multiple of lots whose size assortment structure stems from a set
of many applicable lot-types. We design a column generation algorithm for the
optimal approximation of the branch and size dependent demand by a supply using
a bounded number of lot-types.
|
[
{
"created": "Fri, 31 Jan 2014 06:54:57 GMT",
"version": "v1"
}
] |
2016-03-26
|
[
[
"Kießling",
"Miriam",
""
],
[
"Kurz",
"Sascha",
""
],
[
"Rambau",
"Jörg",
""
]
] |
[
-0.05399879440665245,
0.03519435226917267,
-0.07038402557373047,
-0.03502856567502022,
-0.069857656955719,
-0.02820097841322422,
-0.03179295361042023,
0.05371817573904991,
-0.0013338557910174131,
0.04978921264410019,
0.028552308678627014,
0.04191378504037857,
0.06864626705646515,
-0.009278791025280952,
0.0027787808794528246,
0.04736589640378952,
-0.018787285313010216,
0.04802322760224342,
-0.04016156867146492,
-0.01498244795948267,
0.001760499319061637,
-0.058049533516168594,
0.027495145797729492,
0.006274857092648745,
-0.0050445799715816975,
-0.054359860718250275,
0.03042113035917282,
0.031954362988471985,
0.04210620000958443,
-0.07414167374372482,
0.013415468856692314,
0.08516039699316025,
0.03437360003590584,
0.022091303020715714,
-0.003405845258384943,
-0.008493145927786827,
-0.05920293927192688,
-0.012893990613520145,
0.05639972165226936,
0.09505776315927505,
0.02211128920316696,
-0.0013803534675389528,
-0.0495634488761425,
0.042508356273174286,
0.04139858856797218,
-0.020046187564730644,
-0.04234383627772331,
0.05599489063024521,
0.00566050224006176,
0.01642419956624508,
0.023902397602796555,
0.0645671933889389,
-0.025143764913082123,
0.012303733266890049,
-0.03375014662742615,
0.005856384988874197,
-0.01763429492712021,
-0.013437953777611256,
-0.013616831973195076,
-0.028920942917466164,
-0.05350819230079651,
-0.09336673468351364,
0.0009498285944573581,
-0.0834745466709137,
-0.0009110235841944814,
0.035982098430395126,
-0.023985255509614944,
0.08744578063488007,
-0.1059054583311081,
0.014664262533187866,
0.01806388422846794,
-0.028424466028809547,
-0.08966188132762909,
0.06042882800102234,
-0.03402908518910408,
0.037326447665691376,
0.11694809049367905,
-0.07516880333423615,
-0.06106162816286087,
-0.03096739761531353,
-0.06915663182735443,
-0.023025786504149437,
-0.03382996469736099,
-0.06385822594165802,
-0.029685452580451965,
-0.04005059227347374,
0.043831415474414825,
-0.04431181773543358,
0.08743103593587875,
0.031805165112018585,
-0.10259963572025299,
-0.006729856599122286,
0.0509314127266407,
-0.0523490309715271,
-0.10078056156635284,
0.047149717807769775,
0.02293183095753193,
0.003373366082087159,
0.03351230174303055,
0.04423477500677109,
0.05524122342467308,
-0.002862572902813554,
0.13312779366970062,
-0.003864333964884281,
-0.003698783926665783,
-0.12484069168567657,
0.022712262347340584,
0.10868478566408157,
-0.005729204043745995,
-0.05787312611937523,
0.0010869938414543867,
-0.0014738161116838455,
0.006674943491816521,
0.0028270913753658533,
-0.04328511282801628,
-0.019978279247879982,
0.011964849196374416,
-0.02434011735022068,
0.0050539602525532246,
0.011501893401145935,
0.05509014427661896,
0.03502564877271652,
0.04599717631936073,
0.00871997606009245,
-0.10501720011234283,
0.05427953600883484,
0.04607430845499039,
-1.5079892646016064e-33,
-0.08145803958177567,
-0.02692713961005211,
0.031229641288518906,
-0.04603689908981323,
0.019642241299152374,
0.02009120211005211,
0.04381867125630379,
-0.008854658342897892,
0.010601694695651531,
0.049630869179964066,
0.010190845467150211,
0.056689467281103134,
-0.12422338128089905,
0.09901273995637894,
0.1515701562166214,
-0.07183761894702911,
0.001734145451337099,
0.00013757475244347006,
0.020963644608855247,
-0.03795304521918297,
-0.06909627467393875,
-0.02438897080719471,
0.012914291583001614,
-0.029687458649277687,
0.0046496763825416565,
-0.039886824786663055,
0.034766510128974915,
0.04083238169550896,
0.0006870889919809997,
-0.00406152568757534,
-0.016131265088915825,
0.01906968653202057,
0.026532087475061417,
-0.023128272965550423,
-0.01888631284236908,
-0.03211718797683716,
0.0011105696903541684,
-0.004920098464936018,
0.09198395162820816,
-0.02691841311752796,
-0.013500450178980827,
0.041072167456150055,
0.09632588922977448,
0.02393082156777382,
-0.10407556593418121,
0.06969525665044785,
0.11216447502374649,
0.06607698649168015,
-0.054757941514253616,
0.022508777678012848,
-0.02678772807121277,
-0.031208444386720657,
0.05617475137114525,
0.05107981711626053,
0.020174868404865265,
-0.0912470892071724,
-0.0945032387971878,
-0.03238217905163765,
0.09366492182016373,
0.05122116953134537,
0.00471618864685297,
0.0018172491108998656,
0.006276249885559082,
0.063398577272892,
-0.046722449362277985,
0.02680075168609619,
-0.002429365646094084,
-0.041614823043346405,
0.003083221847191453,
0.004633704200387001,
0.031168829649686813,
0.032458752393722534,
-0.023305075243115425,
-0.06530066579580307,
0.014629286713898182,
0.023949850350618362,
0.03927807882428169,
0.06725640594959259,
-0.027554167434573174,
-0.09952998161315918,
-0.060293715447187424,
0.016133291646838188,
0.015879975631833076,
-0.0038951679598540068,
0.008862477727234364,
0.012958947569131851,
0.022822614759206772,
0.0012647794792428613,
-0.011593947187066078,
-0.07895369827747345,
-0.07057907432317734,
0.04065096378326416,
0.02922702208161354,
0.019676776602864265,
0.09523864835500717,
-8.76112837399144e-34,
0.026366962119936943,
0.03855770081281662,
0.09269797056913376,
0.0494878776371479,
0.035704564303159714,
0.013525580987334251,
-0.08996891230344772,
-0.10622823983430862,
-0.01667402684688568,
0.04943252354860306,
-0.11933228373527527,
0.09292201697826385,
0.08092252910137177,
-0.03988613188266754,
0.03783658146858215,
-0.027245962992310524,
0.0014288711827248335,
0.021520089358091354,
-0.011384041048586369,
-0.06995923817157745,
0.011845204047858715,
0.02202843502163887,
-0.01873813010752201,
0.019212445244193077,
-0.07620754092931747,
0.024698786437511444,
-0.0876418799161911,
0.0033623543567955494,
-0.05280488729476929,
0.014112359844148159,
-0.0526602678000927,
-0.14053097367286682,
0.023887181654572487,
0.004700837191194296,
-0.010208609513938427,
-0.03678512200713158,
0.025140758603811264,
0.12097430974245071,
0.027830492705106735,
0.022788137197494507,
-0.02122972533106804,
-0.07764994353055954,
0.018735622987151146,
0.02414715848863125,
0.013043379411101341,
-0.07112640142440796,
-0.008334682323038578,
-0.051267579197883606,
0.07846979796886444,
-0.008377148769795895,
-0.06862766295671463,
0.13135533034801483,
0.002883212873712182,
0.05303766205906868,
-0.07535552978515625,
0.04384711757302284,
-0.05529880151152611,
0.03912923485040665,
0.02837371826171875,
-0.06932468712329865,
-0.07037759572267532,
0.030175309628248215,
0.02327807806432247,
-0.007046273909509182,
0.06500096619129181,
-0.07306944578886032,
-0.02730107679963112,
-0.11085382103919983,
-0.029119031503796577,
0.051080863922834396,
0.03131677210330963,
-0.00455765426158905,
0.07601422816514969,
0.028464430943131447,
-0.06186318397521973,
-0.02129136584699154,
-0.01845494657754898,
0.04129068925976753,
0.08311283588409424,
0.05944894254207611,
-0.03449247032403946,
0.010115870274603367,
0.07056855410337448,
-0.012278003618121147,
-0.04534469544887543,
-0.07038114219903946,
0.060329731553792953,
0.02351456880569458,
-0.0585348904132843,
0.029912887141108513,
0.023045629262924194,
-0.008340191096067429,
0.06917008757591248,
0.007292361930012703,
-0.045652542263269424,
-3.2673874272859393e-8,
0.0015530086820945144,
-0.07506802678108215,
-0.0030636100564152002,
0.021131522953510284,
0.10925041139125824,
-0.08036067336797714,
-0.017874237149953842,
0.05757374316453934,
-0.03344548121094704,
0.055931322276592255,
0.053307872265577316,
0.1220511943101883,
-0.02958306297659874,
0.03581986948847771,
-0.007499471306800842,
-0.021324891597032547,
-0.02257544733583927,
0.04299631714820862,
-0.04167567193508148,
-0.06953176110982895,
0.004496974404901266,
0.035093601793050766,
0.04224434494972229,
0.0190336462110281,
-0.004881107248365879,
-0.02428492344915867,
0.004297240171581507,
-0.018089178949594498,
0.047859691083431244,
0.08979328721761703,
0.04849963262677193,
0.003255146322771907,
-0.0008390470175072551,
-0.02286977879703045,
0.02790161594748497,
0.013501460663974285,
-0.0631757378578186,
-0.04211677238345146,
-0.004332652315497398,
-0.1137411966919899,
0.014629035256803036,
-0.12760289013385773,
-0.008130562491714954,
0.007857577875256538,
0.08134906738996506,
-0.04348597303032875,
-0.016933204606175423,
-0.0006789069157093763,
-0.009473394602537155,
0.0026017932686954737,
-0.06011255457997322,
-0.014841240830719471,
0.016948306933045387,
-0.07608455419540405,
0.020197445526719093,
-0.0569692924618721,
-0.04873843863606453,
-0.03727417066693306,
0.07581622153520584,
-0.05159832537174225,
0.05106382071971893,
-0.06422201544046402,
-0.01424731407314539,
-0.015997502952814102
] | null | null | null | null | null | null | null |
[
-0.05399879440665245,
0.03519435226917267,
-0.07038402557373047,
-0.03502856567502022,
-0.069857656955719,
-0.02820097841322422,
-0.03179295361042023,
0.05371817573904991,
-0.0013338557910174131,
0.04978921264410019,
0.028552308678627014,
0.04191378504037857,
0.06864626705646515,
-0.009278791025280952,
0.0027787808794528246,
0.04736589640378952,
-0.018787285313010216,
0.04802322760224342,
-0.04016156867146492,
-0.01498244795948267,
0.001760499319061637,
-0.058049533516168594,
0.027495145797729492,
0.006274857092648745,
-0.0050445799715816975,
-0.054359860718250275,
0.03042113035917282,
0.031954362988471985,
0.04210620000958443,
-0.07414167374372482,
0.013415468856692314,
0.08516039699316025,
0.03437360003590584,
0.022091303020715714,
-0.003405845258384943,
-0.008493145927786827,
-0.05920293927192688,
-0.012893990613520145,
0.05639972165226936,
0.09505776315927505,
0.02211128920316696,
-0.0013803534675389528,
-0.0495634488761425,
0.042508356273174286,
0.04139858856797218,
-0.020046187564730644,
-0.04234383627772331,
0.05599489063024521,
0.00566050224006176,
0.01642419956624508,
0.023902397602796555,
0.0645671933889389,
-0.025143764913082123,
0.012303733266890049,
-0.03375014662742615,
0.005856384988874197,
-0.01763429492712021,
-0.013437953777611256,
-0.013616831973195076,
-0.028920942917466164,
-0.05350819230079651,
-0.09336673468351364,
0.0009498285944573581,
-0.0834745466709137,
-0.0009110235841944814,
0.035982098430395126,
-0.023985255509614944,
0.08744578063488007,
-0.1059054583311081,
0.014664262533187866,
0.01806388422846794,
-0.028424466028809547,
-0.08966188132762909,
0.06042882800102234,
-0.03402908518910408,
0.037326447665691376,
0.11694809049367905,
-0.07516880333423615,
-0.06106162816286087,
-0.03096739761531353,
-0.06915663182735443,
-0.023025786504149437,
-0.03382996469736099,
-0.06385822594165802,
-0.029685452580451965,
-0.04005059227347374,
0.043831415474414825,
-0.04431181773543358,
0.08743103593587875,
0.031805165112018585,
-0.10259963572025299,
-0.006729856599122286,
0.0509314127266407,
-0.0523490309715271,
-0.10078056156635284,
0.047149717807769775,
0.02293183095753193,
0.003373366082087159,
0.03351230174303055,
0.04423477500677109,
0.05524122342467308,
-0.002862572902813554,
0.13312779366970062,
-0.003864333964884281,
-0.003698783926665783,
-0.12484069168567657,
0.022712262347340584,
0.10868478566408157,
-0.005729204043745995,
-0.05787312611937523,
0.0010869938414543867,
-0.0014738161116838455,
0.006674943491816521,
0.0028270913753658533,
-0.04328511282801628,
-0.019978279247879982,
0.011964849196374416,
-0.02434011735022068,
0.0050539602525532246,
0.011501893401145935,
0.05509014427661896,
0.03502564877271652,
0.04599717631936073,
0.00871997606009245,
-0.10501720011234283,
0.05427953600883484,
0.04607430845499039,
-1.5079892646016064e-33,
-0.08145803958177567,
-0.02692713961005211,
0.031229641288518906,
-0.04603689908981323,
0.019642241299152374,
0.02009120211005211,
0.04381867125630379,
-0.008854658342897892,
0.010601694695651531,
0.049630869179964066,
0.010190845467150211,
0.056689467281103134,
-0.12422338128089905,
0.09901273995637894,
0.1515701562166214,
-0.07183761894702911,
0.001734145451337099,
0.00013757475244347006,
0.020963644608855247,
-0.03795304521918297,
-0.06909627467393875,
-0.02438897080719471,
0.012914291583001614,
-0.029687458649277687,
0.0046496763825416565,
-0.039886824786663055,
0.034766510128974915,
0.04083238169550896,
0.0006870889919809997,
-0.00406152568757534,
-0.016131265088915825,
0.01906968653202057,
0.026532087475061417,
-0.023128272965550423,
-0.01888631284236908,
-0.03211718797683716,
0.0011105696903541684,
-0.004920098464936018,
0.09198395162820816,
-0.02691841311752796,
-0.013500450178980827,
0.041072167456150055,
0.09632588922977448,
0.02393082156777382,
-0.10407556593418121,
0.06969525665044785,
0.11216447502374649,
0.06607698649168015,
-0.054757941514253616,
0.022508777678012848,
-0.02678772807121277,
-0.031208444386720657,
0.05617475137114525,
0.05107981711626053,
0.020174868404865265,
-0.0912470892071724,
-0.0945032387971878,
-0.03238217905163765,
0.09366492182016373,
0.05122116953134537,
0.00471618864685297,
0.0018172491108998656,
0.006276249885559082,
0.063398577272892,
-0.046722449362277985,
0.02680075168609619,
-0.002429365646094084,
-0.041614823043346405,
0.003083221847191453,
0.004633704200387001,
0.031168829649686813,
0.032458752393722534,
-0.023305075243115425,
-0.06530066579580307,
0.014629286713898182,
0.023949850350618362,
0.03927807882428169,
0.06725640594959259,
-0.027554167434573174,
-0.09952998161315918,
-0.060293715447187424,
0.016133291646838188,
0.015879975631833076,
-0.0038951679598540068,
0.008862477727234364,
0.012958947569131851,
0.022822614759206772,
0.0012647794792428613,
-0.011593947187066078,
-0.07895369827747345,
-0.07057907432317734,
0.04065096378326416,
0.02922702208161354,
0.019676776602864265,
0.09523864835500717,
-8.76112837399144e-34,
0.026366962119936943,
0.03855770081281662,
0.09269797056913376,
0.0494878776371479,
0.035704564303159714,
0.013525580987334251,
-0.08996891230344772,
-0.10622823983430862,
-0.01667402684688568,
0.04943252354860306,
-0.11933228373527527,
0.09292201697826385,
0.08092252910137177,
-0.03988613188266754,
0.03783658146858215,
-0.027245962992310524,
0.0014288711827248335,
0.021520089358091354,
-0.011384041048586369,
-0.06995923817157745,
0.011845204047858715,
0.02202843502163887,
-0.01873813010752201,
0.019212445244193077,
-0.07620754092931747,
0.024698786437511444,
-0.0876418799161911,
0.0033623543567955494,
-0.05280488729476929,
0.014112359844148159,
-0.0526602678000927,
-0.14053097367286682,
0.023887181654572487,
0.004700837191194296,
-0.010208609513938427,
-0.03678512200713158,
0.025140758603811264,
0.12097430974245071,
0.027830492705106735,
0.022788137197494507,
-0.02122972533106804,
-0.07764994353055954,
0.018735622987151146,
0.02414715848863125,
0.013043379411101341,
-0.07112640142440796,
-0.008334682323038578,
-0.051267579197883606,
0.07846979796886444,
-0.008377148769795895,
-0.06862766295671463,
0.13135533034801483,
0.002883212873712182,
0.05303766205906868,
-0.07535552978515625,
0.04384711757302284,
-0.05529880151152611,
0.03912923485040665,
0.02837371826171875,
-0.06932468712329865,
-0.07037759572267532,
0.030175309628248215,
0.02327807806432247,
-0.007046273909509182,
0.06500096619129181,
-0.07306944578886032,
-0.02730107679963112,
-0.11085382103919983,
-0.029119031503796577,
0.051080863922834396,
0.03131677210330963,
-0.00455765426158905,
0.07601422816514969,
0.028464430943131447,
-0.06186318397521973,
-0.02129136584699154,
-0.01845494657754898,
0.04129068925976753,
0.08311283588409424,
0.05944894254207611,
-0.03449247032403946,
0.010115870274603367,
0.07056855410337448,
-0.012278003618121147,
-0.04534469544887543,
-0.07038114219903946,
0.060329731553792953,
0.02351456880569458,
-0.0585348904132843,
0.029912887141108513,
0.023045629262924194,
-0.008340191096067429,
0.06917008757591248,
0.007292361930012703,
-0.045652542263269424,
-3.2673874272859393e-8,
0.0015530086820945144,
-0.07506802678108215,
-0.0030636100564152002,
0.021131522953510284,
0.10925041139125824,
-0.08036067336797714,
-0.017874237149953842,
0.05757374316453934,
-0.03344548121094704,
0.055931322276592255,
0.053307872265577316,
0.1220511943101883,
-0.02958306297659874,
0.03581986948847771,
-0.007499471306800842,
-0.021324891597032547,
-0.02257544733583927,
0.04299631714820862,
-0.04167567193508148,
-0.06953176110982895,
0.004496974404901266,
0.035093601793050766,
0.04224434494972229,
0.0190336462110281,
-0.004881107248365879,
-0.02428492344915867,
0.004297240171581507,
-0.018089178949594498,
0.047859691083431244,
0.08979328721761703,
0.04849963262677193,
0.003255146322771907,
-0.0008390470175072551,
-0.02286977879703045,
0.02790161594748497,
0.013501460663974285,
-0.0631757378578186,
-0.04211677238345146,
-0.004332652315497398,
-0.1137411966919899,
0.014629035256803036,
-0.12760289013385773,
-0.008130562491714954,
0.007857577875256538,
0.08134906738996506,
-0.04348597303032875,
-0.016933204606175423,
-0.0006789069157093763,
-0.009473394602537155,
0.0026017932686954737,
-0.06011255457997322,
-0.014841240830719471,
0.016948306933045387,
-0.07608455419540405,
0.020197445526719093,
-0.0569692924618721,
-0.04873843863606453,
-0.03727417066693306,
0.07581622153520584,
-0.05159832537174225,
0.05106382071971893,
-0.06422201544046402,
-0.01424731407314539,
-0.015997502952814102
] |
1401.8072
|
J\"urgen M\"unch
|
Ove Armbrust, Masafumi Katahira, Yuko Miyamoto, J\"urgen M\"unch,
Haruka Nakao, Alexis Ocampo
|
Scoping Software Process Models - Initial Concepts and Experience from
Defining Space Standards
|
13 pages. The final publication is available at
http://link.springer.com/chapter/10.1007%2F978-3-540-79588-9_15
|
Making Globally Distributed Software Development a Success Story,
volume 5007 of Lecture Notes in Computer Science, pages 160-172. Springer
Berlin Heidelberg, 2008
|
10.1007/978-3-540-79588-9_15
| null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Defining process standards by integrating, harmonizing, and standardizing
heterogeneous and often implicit processes is an important task, especially for
large development organizations. However, many challenges exist, such as
limiting the scope of process standards, coping with different levels of
process model abstraction, and identifying relevant process variabilities to be
included in the standard. On the one hand, eliminating process variability by
building more abstract models with higher degrees of interpretation has many
disadvantages, such as less control over the process. Integrating all kinds of
variability, on the other hand, leads to high process deployment costs. This
article describes requirements and concepts for determining the scope of
process standards based on a characterization of the potential products to be
produced in the future, the projects expected for the future, and the
respective process capabilities needed. In addition, the article sketches
experience from determining the scope of space process standards for satellite
software development. Finally, related work with respect to process model
scoping, conclusions, and an outlook on future work are presented.
|
[
{
"created": "Fri, 31 Jan 2014 06:58:00 GMT",
"version": "v1"
}
] |
2014-02-03
|
[
[
"Armbrust",
"Ove",
""
],
[
"Katahira",
"Masafumi",
""
],
[
"Miyamoto",
"Yuko",
""
],
[
"Münch",
"Jürgen",
""
],
[
"Nakao",
"Haruka",
""
],
[
"Ocampo",
"Alexis",
""
]
] |
[
-0.03566486015915871,
-0.07234416902065277,
0.013974995352327824,
-0.09032271802425385,
-0.08733795583248138,
-0.09224386513233185,
-0.038502972573041916,
0.07765170931816101,
0.0071483636274933815,
0.023818252608180046,
-0.10115700215101242,
-0.01932438276708126,
0.024054912850260735,
0.0000910949966055341,
0.02652139775454998,
-0.06834510713815689,
0.02646642178297043,
-0.07245326787233353,
-0.0676674172282219,
0.007468667346984148,
0.0952015221118927,
-0.004564342554658651,
-0.11142528802156448,
0.031667254865169525,
-0.049507807940244675,
-0.014584488235414028,
0.014646043069660664,
-0.0027697780169546604,
0.044022176414728165,
-0.022041423246264458,
0.004789636470377445,
0.07328754663467407,
0.06710993498563766,
-0.024365607649087906,
0.09348145872354507,
0.12518922984600067,
0.012028776109218597,
-0.10048626363277435,
-0.029706960543990135,
-0.030935049057006836,
-0.02705034799873829,
-0.06271889805793762,
-0.01549458783119917,
0.03756779804825783,
-0.006898792460560799,
-0.026272987946867943,
-0.015064012259244919,
-0.1115700751543045,
-0.13312436640262604,
-0.04353649541735649,
-0.05930114537477493,
-0.10682642459869385,
-0.06706579029560089,
-0.014388266950845718,
0.007584126200526953,
-0.07869256287813187,
0.05086752027273178,
-0.00467000063508749,
-0.007691085338592529,
-0.03087581694126129,
-0.05304790288209915,
-0.06984345614910126,
-0.08976985514163971,
-0.005985144060105085,
-0.024173622950911522,
0.028112299740314484,
-0.015182163566350937,
-0.03155225142836571,
0.04467462748289108,
-0.01695038191974163,
-0.10720151662826538,
0.05113513395190239,
-0.08696313947439194,
-0.04041275382041931,
-0.04574459046125412,
0.005513693671673536,
0.0011362012010067701,
0.0588609054684639,
0.014895192347466946,
-0.10678092390298843,
0.032129187136888504,
0.07968277484178543,
-0.09197666496038437,
-0.004423653706908226,
0.0005866584251634777,
0.0338810570538044,
0.026776814833283424,
0.03853154927492142,
0.10346389561891556,
0.015987105667591095,
-0.00568787194788456,
-0.0667518675327301,
0.05073055997490883,
0.017410781234502792,
0.04680052027106285,
0.04153180122375488,
0.049753788858652115,
-0.07251492142677307,
0.06662698090076447,
0.0012387788156047463,
0.005437937099486589,
0.02752654068171978,
0.03267925977706909,
-0.017113452777266502,
-0.0042909132316708565,
-0.002939059631898999,
0.0735829547047615,
0.038228802382946014,
-0.0055221994407474995,
-0.05186748132109642,
-0.08215735852718353,
-0.03924483805894852,
-0.0418584831058979,
-0.07407068461179733,
-0.06293953955173492,
-0.036545153707265854,
-0.013188027776777744,
-0.049516819417476654,
0.0010791490785777569,
-0.02536761946976185,
-0.016808457672595978,
-0.03708098456263542,
0.06663607805967331,
-0.012002939358353615,
-0.020284945145249367,
-0.008016398176550865,
-0.006352177821099758,
1.529362874306425e-33,
0.013047266751527786,
-0.013124176301062107,
-0.015365665778517723,
0.02263188734650612,
-0.03605600446462631,
0.013372896239161491,
-0.030327938497066498,
0.06416820734739304,
0.03326932713389397,
0.00493596401065588,
0.05648988485336304,
0.03903060778975487,
-0.07882724702358246,
-0.039947666227817535,
0.10150603950023651,
0.06658793240785599,
0.04525473713874817,
0.07739129662513733,
0.0849619209766388,
0.037684809416532516,
-0.0268282238394022,
-0.062198374420404434,
-0.04813143610954285,
0.014701997861266136,
0.11527468264102936,
0.034291818737983704,
-0.01017263624817133,
-0.0250314362347126,
-0.06960460543632507,
-0.0107571454718709,
0.030130987986922264,
0.01008540391921997,
0.07852112501859665,
0.04200587794184685,
0.012464777566492558,
0.016367405652999878,
-0.044452741742134094,
0.02944784425199032,
0.03342011570930481,
-0.025181440636515617,
0.04062817618250847,
0.022873597219586372,
-0.06406716257333755,
0.009434686973690987,
0.049936242401599884,
0.043499745428562164,
0.039990298449993134,
-0.07501054555177689,
0.052519481629133224,
0.009261468425393105,
0.06174258142709732,
0.11674652993679047,
0.10208774358034134,
-0.004225247073918581,
0.05739830806851387,
-0.049072761088609695,
0.0963781327009201,
-0.008303376846015453,
-0.036829132586717606,
0.09119085967540741,
-0.05956437438726425,
-0.0018382373964414,
-0.012137363664805889,
-0.0022009345702826977,
0.08080495148897171,
-0.028546053916215897,
0.05140841379761696,
0.014232189394533634,
0.0367601215839386,
-0.019554726779460907,
-0.07654957473278046,
-0.04436556622385979,
-0.01198150496929884,
0.029605170711874962,
-0.015239095315337181,
-0.05487363785505295,
0.034542519599199295,
-0.00927530787885189,
0.03364023566246033,
-0.03283870592713356,
-0.11011725664138794,
0.07055991888046265,
-0.01333746686577797,
-0.03401131555438042,
-0.044899832457304,
-0.03324616327881813,
-0.008269092999398708,
0.10730712860822678,
-0.047301847487688065,
0.009754089638590813,
-0.00461698928847909,
0.010520919226109982,
-0.009644195437431335,
0.0731358602643013,
-0.011174277402460575,
-3.259224126231846e-33,
0.017323695123195648,
-0.005731248762458563,
-0.04122700169682503,
0.005655959248542786,
-0.016325291246175766,
-0.034225910902023315,
-0.04334124177694321,
-0.046225834637880325,
0.04316915571689606,
0.06000819429755211,
-0.031732991337776184,
-0.05785404145717621,
0.07061029970645905,
-0.001327487756498158,
-0.02441912516951561,
-0.007371237501502037,
-0.0035453536547720432,
-0.06383264809846878,
0.010272219777107239,
0.016148345544934273,
0.04446090757846832,
0.06889395415782928,
0.005436291918158531,
-0.015565432608127594,
0.009744208306074142,
0.006258091423660517,
-0.004489200655370951,
-0.06444386392831802,
-0.00226043863222003,
0.013070797547698021,
0.016455844044685364,
-0.02325347065925598,
0.010003766976296902,
0.07884883880615234,
-0.0034738497342914343,
-0.09296809136867523,
0.050501611083745956,
-0.011056303046643734,
0.04039441794157028,
-0.03754807636141777,
-0.011033768765628338,
0.022045426070690155,
-0.028124747797846794,
-0.017856813967227936,
-0.016370341181755066,
-0.03411232307553291,
0.042795516550540924,
-0.0057020774111151695,
-0.018602458760142326,
-0.1356578916311264,
-0.0019098774064332247,
-0.038872186094522476,
0.01799945905804634,
-0.040432970970869064,
0.018791869282722473,
0.01659342646598816,
0.009479033760726452,
-0.0348331555724144,
0.028167566284537315,
-0.006815705448389053,
0.1610473245382309,
-0.03063173033297062,
0.054471224546432495,
-0.05288305878639221,
-0.04234849661588669,
0.024393364787101746,
0.03319024294614792,
0.03420097008347511,
-0.03171749785542488,
0.10377150028944016,
-0.022610682994127274,
-0.0702008455991745,
-0.12717950344085693,
0.011524684727191925,
-0.03709276393055916,
-0.03687095269560814,
0.07550766319036484,
-0.07379400730133057,
0.03812325745820999,
0.0032617361284792423,
-0.03684074431657791,
0.10985200107097626,
0.025420263409614563,
0.040596406906843185,
0.003766298294067383,
0.06825035810470581,
0.04171436280012131,
-0.008995850570499897,
0.017034394666552544,
0.03497795760631561,
-0.05046714097261429,
0.02421427331864834,
-0.03336864709854126,
0.12190429121255875,
-0.020838579162955284,
-4.980079992833453e-8,
-0.04445960000157356,
0.01742147095501423,
-0.029321160167455673,
0.07878989726305008,
-0.04037639871239662,
0.00575935747474432,
-0.029570676386356354,
-0.017981747165322304,
0.047384656965732574,
0.0670243501663208,
-0.03874148428440094,
-0.09389667212963104,
-0.056263744831085205,
0.05584419518709183,
0.03640409931540489,
0.016982173547148705,
-0.032759007066488266,
0.13291020691394806,
-0.05227465555071831,
0.0059020500630140305,
0.034017276018857956,
0.04822497442364693,
0.022268405184149742,
-0.04781441017985344,
0.03163932263851166,
-0.06041521206498146,
0.03965950012207031,
0.09658797830343246,
0.05976395681500435,
0.0494527742266655,
0.08144276589155197,
0.04192877560853958,
-0.02196483686566353,
0.02634427696466446,
0.005497659090906382,
-0.018394513055682182,
0.05892195925116539,
0.06629321724176407,
0.08210325241088867,
0.04056303948163986,
-0.021051235496997833,
0.09132777899503708,
-0.03349052369594574,
0.07797370105981827,
-0.017780851572752,
0.03684519603848457,
-0.08094919472932816,
-0.07912899553775787,
-0.08992412686347961,
0.035946283489465714,
0.01908007636666298,
0.014237475581467152,
-0.07508281618356705,
0.05375506728887558,
0.01834014244377613,
0.08511506766080856,
0.008157143369317055,
0.006929213181138039,
-0.0009630918502807617,
-0.025497183203697205,
0.008409393951296806,
0.000873113633133471,
-0.01008951012045145,
0.05396140366792679
] | null | null | null | null | null | null | null |
[
-0.03566486015915871,
-0.07234416902065277,
0.013974995352327824,
-0.09032271802425385,
-0.08733795583248138,
-0.09224386513233185,
-0.038502972573041916,
0.07765170931816101,
0.0071483636274933815,
0.023818252608180046,
-0.10115700215101242,
-0.01932438276708126,
0.024054912850260735,
0.0000910949966055341,
0.02652139775454998,
-0.06834510713815689,
0.02646642178297043,
-0.07245326787233353,
-0.0676674172282219,
0.007468667346984148,
0.0952015221118927,
-0.004564342554658651,
-0.11142528802156448,
0.031667254865169525,
-0.049507807940244675,
-0.014584488235414028,
0.014646043069660664,
-0.0027697780169546604,
0.044022176414728165,
-0.022041423246264458,
0.004789636470377445,
0.07328754663467407,
0.06710993498563766,
-0.024365607649087906,
0.09348145872354507,
0.12518922984600067,
0.012028776109218597,
-0.10048626363277435,
-0.029706960543990135,
-0.030935049057006836,
-0.02705034799873829,
-0.06271889805793762,
-0.01549458783119917,
0.03756779804825783,
-0.006898792460560799,
-0.026272987946867943,
-0.015064012259244919,
-0.1115700751543045,
-0.13312436640262604,
-0.04353649541735649,
-0.05930114537477493,
-0.10682642459869385,
-0.06706579029560089,
-0.014388266950845718,
0.007584126200526953,
-0.07869256287813187,
0.05086752027273178,
-0.00467000063508749,
-0.007691085338592529,
-0.03087581694126129,
-0.05304790288209915,
-0.06984345614910126,
-0.08976985514163971,
-0.005985144060105085,
-0.024173622950911522,
0.028112299740314484,
-0.015182163566350937,
-0.03155225142836571,
0.04467462748289108,
-0.01695038191974163,
-0.10720151662826538,
0.05113513395190239,
-0.08696313947439194,
-0.04041275382041931,
-0.04574459046125412,
0.005513693671673536,
0.0011362012010067701,
0.0588609054684639,
0.014895192347466946,
-0.10678092390298843,
0.032129187136888504,
0.07968277484178543,
-0.09197666496038437,
-0.004423653706908226,
0.0005866584251634777,
0.0338810570538044,
0.026776814833283424,
0.03853154927492142,
0.10346389561891556,
0.015987105667591095,
-0.00568787194788456,
-0.0667518675327301,
0.05073055997490883,
0.017410781234502792,
0.04680052027106285,
0.04153180122375488,
0.049753788858652115,
-0.07251492142677307,
0.06662698090076447,
0.0012387788156047463,
0.005437937099486589,
0.02752654068171978,
0.03267925977706909,
-0.017113452777266502,
-0.0042909132316708565,
-0.002939059631898999,
0.0735829547047615,
0.038228802382946014,
-0.0055221994407474995,
-0.05186748132109642,
-0.08215735852718353,
-0.03924483805894852,
-0.0418584831058979,
-0.07407068461179733,
-0.06293953955173492,
-0.036545153707265854,
-0.013188027776777744,
-0.049516819417476654,
0.0010791490785777569,
-0.02536761946976185,
-0.016808457672595978,
-0.03708098456263542,
0.06663607805967331,
-0.012002939358353615,
-0.020284945145249367,
-0.008016398176550865,
-0.006352177821099758,
1.529362874306425e-33,
0.013047266751527786,
-0.013124176301062107,
-0.015365665778517723,
0.02263188734650612,
-0.03605600446462631,
0.013372896239161491,
-0.030327938497066498,
0.06416820734739304,
0.03326932713389397,
0.00493596401065588,
0.05648988485336304,
0.03903060778975487,
-0.07882724702358246,
-0.039947666227817535,
0.10150603950023651,
0.06658793240785599,
0.04525473713874817,
0.07739129662513733,
0.0849619209766388,
0.037684809416532516,
-0.0268282238394022,
-0.062198374420404434,
-0.04813143610954285,
0.014701997861266136,
0.11527468264102936,
0.034291818737983704,
-0.01017263624817133,
-0.0250314362347126,
-0.06960460543632507,
-0.0107571454718709,
0.030130987986922264,
0.01008540391921997,
0.07852112501859665,
0.04200587794184685,
0.012464777566492558,
0.016367405652999878,
-0.044452741742134094,
0.02944784425199032,
0.03342011570930481,
-0.025181440636515617,
0.04062817618250847,
0.022873597219586372,
-0.06406716257333755,
0.009434686973690987,
0.049936242401599884,
0.043499745428562164,
0.039990298449993134,
-0.07501054555177689,
0.052519481629133224,
0.009261468425393105,
0.06174258142709732,
0.11674652993679047,
0.10208774358034134,
-0.004225247073918581,
0.05739830806851387,
-0.049072761088609695,
0.0963781327009201,
-0.008303376846015453,
-0.036829132586717606,
0.09119085967540741,
-0.05956437438726425,
-0.0018382373964414,
-0.012137363664805889,
-0.0022009345702826977,
0.08080495148897171,
-0.028546053916215897,
0.05140841379761696,
0.014232189394533634,
0.0367601215839386,
-0.019554726779460907,
-0.07654957473278046,
-0.04436556622385979,
-0.01198150496929884,
0.029605170711874962,
-0.015239095315337181,
-0.05487363785505295,
0.034542519599199295,
-0.00927530787885189,
0.03364023566246033,
-0.03283870592713356,
-0.11011725664138794,
0.07055991888046265,
-0.01333746686577797,
-0.03401131555438042,
-0.044899832457304,
-0.03324616327881813,
-0.008269092999398708,
0.10730712860822678,
-0.047301847487688065,
0.009754089638590813,
-0.00461698928847909,
0.010520919226109982,
-0.009644195437431335,
0.0731358602643013,
-0.011174277402460575,
-3.259224126231846e-33,
0.017323695123195648,
-0.005731248762458563,
-0.04122700169682503,
0.005655959248542786,
-0.016325291246175766,
-0.034225910902023315,
-0.04334124177694321,
-0.046225834637880325,
0.04316915571689606,
0.06000819429755211,
-0.031732991337776184,
-0.05785404145717621,
0.07061029970645905,
-0.001327487756498158,
-0.02441912516951561,
-0.007371237501502037,
-0.0035453536547720432,
-0.06383264809846878,
0.010272219777107239,
0.016148345544934273,
0.04446090757846832,
0.06889395415782928,
0.005436291918158531,
-0.015565432608127594,
0.009744208306074142,
0.006258091423660517,
-0.004489200655370951,
-0.06444386392831802,
-0.00226043863222003,
0.013070797547698021,
0.016455844044685364,
-0.02325347065925598,
0.010003766976296902,
0.07884883880615234,
-0.0034738497342914343,
-0.09296809136867523,
0.050501611083745956,
-0.011056303046643734,
0.04039441794157028,
-0.03754807636141777,
-0.011033768765628338,
0.022045426070690155,
-0.028124747797846794,
-0.017856813967227936,
-0.016370341181755066,
-0.03411232307553291,
0.042795516550540924,
-0.0057020774111151695,
-0.018602458760142326,
-0.1356578916311264,
-0.0019098774064332247,
-0.038872186094522476,
0.01799945905804634,
-0.040432970970869064,
0.018791869282722473,
0.01659342646598816,
0.009479033760726452,
-0.0348331555724144,
0.028167566284537315,
-0.006815705448389053,
0.1610473245382309,
-0.03063173033297062,
0.054471224546432495,
-0.05288305878639221,
-0.04234849661588669,
0.024393364787101746,
0.03319024294614792,
0.03420097008347511,
-0.03171749785542488,
0.10377150028944016,
-0.022610682994127274,
-0.0702008455991745,
-0.12717950344085693,
0.011524684727191925,
-0.03709276393055916,
-0.03687095269560814,
0.07550766319036484,
-0.07379400730133057,
0.03812325745820999,
0.0032617361284792423,
-0.03684074431657791,
0.10985200107097626,
0.025420263409614563,
0.040596406906843185,
0.003766298294067383,
0.06825035810470581,
0.04171436280012131,
-0.008995850570499897,
0.017034394666552544,
0.03497795760631561,
-0.05046714097261429,
0.02421427331864834,
-0.03336864709854126,
0.12190429121255875,
-0.020838579162955284,
-4.980079992833453e-8,
-0.04445960000157356,
0.01742147095501423,
-0.029321160167455673,
0.07878989726305008,
-0.04037639871239662,
0.00575935747474432,
-0.029570676386356354,
-0.017981747165322304,
0.047384656965732574,
0.0670243501663208,
-0.03874148428440094,
-0.09389667212963104,
-0.056263744831085205,
0.05584419518709183,
0.03640409931540489,
0.016982173547148705,
-0.032759007066488266,
0.13291020691394806,
-0.05227465555071831,
0.0059020500630140305,
0.034017276018857956,
0.04822497442364693,
0.022268405184149742,
-0.04781441017985344,
0.03163932263851166,
-0.06041521206498146,
0.03965950012207031,
0.09658797830343246,
0.05976395681500435,
0.0494527742266655,
0.08144276589155197,
0.04192877560853958,
-0.02196483686566353,
0.02634427696466446,
0.005497659090906382,
-0.018394513055682182,
0.05892195925116539,
0.06629321724176407,
0.08210325241088867,
0.04056303948163986,
-0.021051235496997833,
0.09132777899503708,
-0.03349052369594574,
0.07797370105981827,
-0.017780851572752,
0.03684519603848457,
-0.08094919472932816,
-0.07912899553775787,
-0.08992412686347961,
0.035946283489465714,
0.01908007636666298,
0.014237475581467152,
-0.07508281618356705,
0.05375506728887558,
0.01834014244377613,
0.08511506766080856,
0.008157143369317055,
0.006929213181138039,
-0.0009630918502807617,
-0.025497183203697205,
0.008409393951296806,
0.000873113633133471,
-0.01008951012045145,
0.05396140366792679
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.