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0704.2817.txt |@word phisms:1 consider:4 global:22 results:4 llt:4 four:2 scalar:1 proposition:26 expressions:1 gl:35 gi:6 soc:1 inverse:2 calculate:2 mwt:1 graph:5 segments:13 uniqueness:1 tj:2 tk:3 th:1 ti:63 analogous:2 conjecture:16 p0:3 eeee:1 corollary:3 valued:1 arrange:2 gg:2 pbw:23 mξ:1 presented:1 bn:1 irreducible:7 hereafter:2 large:2 involution:6 vector:6 mλ:6 science:1 small:2 deleting:2 upper:8 says:1 gg3:1 estimates:2 direct:2 second:6 further:1 odd:18 canonical:2 bilinear:12 index:2 appear:1 invertible:4 kl0:3 sum:3 4r:1 lexicographic:1 version:1 3n:1 suq:1 sup:3 consisting:1 satisfy:7 degree:2 even:10 here:16 desired:5 address:2 consideration:1 standard:2 appears:1 sending:3 remark:6 eki:1 institute:1 contradiction:12 later:2 resulting:4 usually:1 explain:1 multisegment:15 quotient:1 uniquely:2 formulated:1 divide:8 classification:1 apr:1 grojnowski:1 replace:9 total:2 univ:1 linearly:1 use:6 prove:33 remains:2 contains:2 rightmost:5 distinct:1 linear:3 explicitly:1 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0704.2818.txt |@word vila:2 luminosities:2 results:4 grateful:1 cameron:1 centers:2 issues:1 compact:5 editors:1 critical:1 present:1 starbursts:6 probe:1 very:4 tosaki:2 kiloparsec:1 clouds:5 positions:1 hco:25 blitz:2 pasj:2 rate:2 enhancement:3 correlator:1 further:1 maloney:4 plays:1 sub:2 brief:1 current:1 acknowledgments:1 contrast:1 3d:2 full:1 simultaneously:1 respectively:1 never:2 ionization:1 reported:1 operating:1 active:3 ratio:1 strong:1 masatoshi:1 ref:1 institute:1 study:2 ngc:42 survey:4 spatially:1 overabundance:3 apr:1 nma:1 apj:11 names:1 resolutions:1 indicated:1 would:1 few:4 kinematics:1 therefore:2 type:2 more:2 becomes:1 starburst:13 envelope:1 emission:11 nguyen:1 apjs:1 known:2 hints:1 high:8 palomar:1 tokyo:3 sensitivities:1 values:4 ulvestad:2 figure:2 rodriguez:2 sample:9 indicates:1 caution:1 allowed:1 ascension:4 occur:1 dalgarno:2 conducted:1 regions:9 significance:1 answer:1 galactic:1 may:2 kawabe:2 southern:1 millimeter:3 beam:5 ss:1 spectra:1 lines:3 ghz:3 correlation:4 mjy:3 typical:1 interpretation:1 reservoir:1 indeed:3 astronomical:1 toward:5 paper:1 including:3 same:1 japan:3 kinetic:1 still:3 blocked:1 fir:1 outer:1 thank:1 la:1 spaans:3 tori:1 vicinity:2 detected:3 permanent:1 them:1 good:1 ishizuki:3 material:1 band:4 circumnuclear:3 sorai:1 name:1 brightness:1 university:1 kpc:2 l1:1 accompanied:1 tracer:2 series:1 energy:1 frequency:2 imanishi:11 year:1 our:14 ring:1 shown:1 jackson:3 research:1 dominated:3 hcn:39 integrated:1 shows:1 occurs:1 asp:1 linear:1 galaxies:30 possibility:1 diagnostic:1 abnormally:2 formation:7 imaging:3 besides:1 hand:1 inevitable:1 temperature:4 could:3 kohno:13 massive:6 ism:2 consequence:1 there:4 l33:1 array:3 given:2 publication:1 likely:1 approximately:1 priority:1 their:3 observations:1 molecular:10 explanation:1 part:1 viegas:3 authors:1 than:2 vilar:1 relative:1 observatory:1 roles:1 intensity:1 matter:1 solomon:2 intensities:1 were:3 hollenbach:1 enables:1 treated:1 need:1 ray:3 efficient:1 note:1 majority:1 hydrocarbon:1 attempted:1 channel:1 electric:1 trace:1 sofue:1 volume:1 doi:1 genzel:1 considered:1 clear:1 implications:1 km:3 diagnostics:2 velocity:1 fact:2 signatures:1 show:2 supported:2 infrared:1 find:1 staff:1 based:1 northern:1 title:1 should:1 molecules:3 fuel:1 local:2 tielens:1 agns:2 xdr:1 penetrate:1 collisional:1 areas:1 evolution:1 densities:1 luminosity:2 arxiv:1 summary:2 investigate:2 overluminous:3 signify:2 computed:1 exists:1 national:1 observed:4 see:1 enhanced:3 close:1 luminous:4 prototypical:1 wonder:1 detect:1 nuclear:9 dipole:1 µm:1 various:1 between:4 kotaro:1 jy:2 okuda:1 however:1 onodera:1 key:1 contamination:1 endo:1 suggested:1 l21:1 collaborators:1 cubes:1 conclusions:2 according:1 attributed:1 connection:1 nearby:2 among:3 co:13 tacconi:3 l77:1 l29:1 morphologies:1 table:2 conference:1 unusual:1 enhancements:1 due:3 been:3 pc:7 much:1 ph:1 obtained:2 nro:1 sufficient:1 gas:1 lepp:2 gao:2 representative:1 obscuring:1 sfrs:1 those:3 dusty:1 aid:1 larger:1 vol:1 site:1 surface:1 heating:2 l55:1 grant:1 suggest:2 make:1 belong:1 elevated:3 pah:6 ardila:3 paglione:1 polycyclic:1 osawa:2 center:1 well:2 model:1 chemistry:2 left:1 unified:1 proposed:1 moments:1 photo:3 accurate:1 financially:1 using:2 yes:5 matsushita:4 dissociation:1 density:2 irradiated:1 photons:2 seems:1 pdrs:3 mitaka:2 disagreement:1 possible:1 immediately:1 nakanishi:1 like:1 mext:1 flux:2 seyfert:27 invaluable:1 nobeyama:3 because:2 some:5 j2000:8 respect:4 images:2 provided:2 scale:1 dense:5 broad:1 measurements:1 l13:1 does:2 eliminate:1 provides:1 rieu:1 scientific:1 obscures:1 host:2 ratios:5 found:1 properties:1 comparison:2 central:4 universe:2 o:1 xdrs:5 palma:1 efforts:1 muraoka:1 presence:5 okumura:4 interstellar:1 right:5 references:2 wada:2 support:1 meijerink:3 question:1 width:1 rco:4 low:1 fraction:2 crucially:1 was:1 medium:2 forming:3 astro:1 helfer:2 ho:2 mnras:1 line:4 considerable:2 evident:1 whether:1 inside:1 uv:1 up:2 us:3 emissions:8 spectroscopy:2 similar:5 abstract:1 deep:1 ap:1 compared:2 no:11 whereas:1 aromatic:1 tight:3 other:3 spatial:1 star:10 excitation:1 nucleus:3 included:1 astronomy:1 agn:2 declination:4 nuclei:7 resolution:3 |
0704.2819.txt |@word dist:1 consider:3 edu:1 consists:1 sci:1 dsdt:1 whose:2 inverse:1 calculate:2 smm:2 charge:1 acoustically:2 tj:2 th:1 under:1 tg:1 td:1 include:1 random:1 g0:6 very:5 springer:1 wave:13 condition:13 solves:4 did:1 solution:13 large:5 solved:2 vector:3 small:36 h12:5 consistent:2 estimates:1 sign:1 approximation:1 zero:3 pass:1 substitute:1 linear:4 established:1 diam:1 stands:3 above:1 boundary:9 new:6 consisting:1 filled:4 body:2 here:3 desired:10 equations:2 eikr:2 obtained:2 study:2 resulting:2 suitable:1 apr:1 replace:2 limm:2 total:6 univ:1 unit:13 use:5 would:1 prove:3 distinct:2 positive:2 contains:1 uniqueness:4 therefore:7 taken:1 msc:1 elliptic:1 conductor:4 becomes:1 odinger:2 appendix:5 known:7 account:1 valued:5 equation:15 2πn0:1 lipschitz:1 following:9 example:2 proof:2 compare:1 give:2 process:1 impedances:2 assumptions:2 numbers:1 want:1 sense:1 dominant:1 conversely:1 occur:1 overbar:1 end:1 rather:1 s2:2 holds:9 write:3 far:1 methodology:1 parameter:1 simplicity:1 may:8 max:2 derived:1 applications:1 plane:1 summarize:1 constants:1 effective:3 metamaterials:2 element:1 sj:39 so:13 sm:14 representation:1 order:9 dx:9 produces:1 developed:3 over:2 satisfied:2 produced:1 paper:1 da3:1 satisfies:3 still:1 its:3 perfect:3 lg:1 derive:3 how:2 chosen:3 solving:2 lu:3 choose:1 derivative:2 greater:1 material:19 landau:1 oxford:3 now:3 dielectric:1 suppose:2 term:3 gets:1 university:1 inequality:1 l2:4 acoustic:1 side:1 mean:1 homogeneous:1 domain:7 square:1 series:1 idea:1 2hj:2 obtains:2 wavelength:2 shown:2 matrix:1 since:3 particles:41 replacing:1 acting:1 denoted:1 formula:15 get:4 math:3 shows:1 theory:4 hull:1 reason:2 york:1 estimate:1 dirichlet:2 βr:1 r3:12 starts:1 iterative:1 nonnegative:1 turn:1 length:1 produce:3 rewrites:1 neglect:1 first:3 xj:19 xm:29 number:10 u0:19 done:1 relations:1 eikα:1 size:1 given:4 start:1 introduction:1 unknown:1 system:6 approximately:1 their:2 assumption:3 statement:1 calculations:1 ih2:3 continuous:2 part:2 than:2 distance:2 rate:1 limiting:2 amplitude:5 rewrite:3 concludes:1 argument:2 conjugate:2 any:4 lie:1 jour:1 min:1 convenient:1 self:2 gravity:2 converges:1 note:3 potential:4 take:3 finding:4 green:2 formulas:1 cube:3 electric:2 normal:3 satisfy:2 algebraic:3 multiply:3 appear:2 hj:10 ka:5 fills:1 dordrecht:1 calculated:2 ks:1 points:1 usual:1 quantity:2 rayleigh:1 hm:9 scattered:2 relation:1 d3:1 ksu:1 q0:25 explain:1 state:1 negligible:3 should:4 lemma:1 indeed:3 integrate:1 integrable:1 dm:17 dj:9 means:1 embeds:2 familiar:1 sup:1 fluid:1 words:1 dy:2 dt:18 ds:12 arxiv:1 yield:1 wish:1 fixed:3 qm:18 coefficient:14 set:1 constructing:1 exists:5 relative:2 see:4 diagonally:1 ikv:2 convex:3 outside:1 smallest:1 various:2 lue:1 between:2 geometric:1 conditions:4 publishers:1 terms:1 creating:2 originated:1 incident:2 ikg:2 key:1 distribution:1 c22:1 σj:13 last:1 σm:7 many:10 ramm:10 embedding:5 refraction:13 argue:1 expression:1 finds:2 cj:15 cn:3 cm:9 point:7 simple:3 continuation:1 iterations:1 respect:1 throughout:1 pp:1 second:1 piecewise:1 create:4 three:1 been:1 ph:1 wants:1 direction:3 corresponding:2 quantities:4 sufficient:2 2ik:1 c2:17 c1:12 general:3 hmc:2 case:1 replaces:1 look:1 pacs:1 value:1 will:2 while:1 replaced:1 behavior:1 error:2 eik:2 property:1 identical:1 layer:1 vj:6 thus:3 surface:4 ik:1 im:22 exterior:2 vanish:3 technology:1 different:3 d13:2 radiation:1 same:6 complex:4 dimensionless:1 subdomain:2 fairly:1 used:2 imply:1 singapore:1 effect:2 uses:1 schr:2 center:2 possibly:2 obstacles:1 well:1 materials:2 solve:2 lim:4 dimension:3 bodies:5 charged:1 distances:3 less:1 obtain:2 shape:3 world:1 h22:6 scattering:24 density:3 conclude:1 belongs:1 lett:3 smart:1 real:4 around:7 possible:3 smallness:2 qj:10 press:2 using:9 nanotechnology:1 unique:4 meaning:1 ad3:2 particle:4 follows:1 shapes:1 yields:4 arbitrary:8 soft:2 essential:1 reidel:1 sketch:1 right:2 namely:1 kleinman:1 some:2 choosing:1 moreover:1 provided:3 lead:1 electromagnetic:1 integration:1 per:6 does:1 tends:1 lifshitz:1 refer:1 problems:2 equivalent:1 bh:2 although:3 found:2 imaginary:1 subtract:1 properties:4 usa:1 dependence:1 o:24 2i:4 ic2:3 h2:16 pergamon:1 into:4 h1:11 integral:7 chooses:1 because:3 references:1 operator:1 area:2 there:1 u1:2 approximate:1 u2:2 capacitance:2 low:1 was:1 function:14 medium:10 complete:1 form:1 but:2 volume:17 properly:1 delta:1 impedance:7 line:1 made:2 applying:1 embedded:11 characteristic:1 us:8 um:1 placed:1 below:2 frequency:1 limit:8 ue:34 problem:16 expect:1 mechanics:1 constant:5 ad:3 ln:2 defined:2 abstract:1 aj:4 denote:3 single:2 our:2 dβ:2 physical:2 functions:5 compared:2 when:3 2dx:1 field:6 interested:1 department:1 mathematics:1 ns:1 manhattan:1 stat:1 kansas:1 uniformly:1 a1:2 a0:5 a3:1 a2:2 bounded:8 implies:11 practically:3 assume:11 n0:10 n3:1 original:8 n6:1 |
0704.2820.txt |@word represent:2 gu:2 consider:1 pointing:1 arcminutes:1 thilker:2 global:1 hatzidimitriou:1 results:4 four:2 eds:1 winds:2 disk:22 centers:1 compact:1 whose:1 ergs:1 dickey:1 young:1 contours:5 dickinson:1 include:2 indicating:1 applied:1 melott:5 very:3 springer:2 geometrical:1 stays:2 bubbles:1 difference:1 gg:4 clouds:1 walterbos:1 level:2 fewer:4 large:15 aas:1 small:4 der:2 upper:6 encloses:1 smaller:2 hulst:2 kim1:1 sign:1 surrounding:2 likely:1 newar:1 estimated:3 even:2 index:10 what:2 nonlinear:2 appear:1 disentangle:1 near:1 uniform:3 current:1 above:3 values:1 contributes:1 method:1 filled:9 degree:2 arcsec:1 respectively:3 component:2 equals:1 understanding:1 reported:1 fluctuating:2 active:1 along:3 change:5 obtained:2 great:2 parameters:8 institute:1 shift:15 study:5 larger:15 resulting:1 changes:2 karachentsev:1 plotted:3 heiles:4 diameter:4 see:2 scales:33 suddenly:1 extinctions:1 interarm:1 apj:11 total:2 cloud:6 use:2 wealth:1 remains:1 positive:4 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0704.2835.txt |@word gu:1 chain:15 results:10 four:1 scalar:12 mp5:3 mp2:2 per:4 inflating:2 widrow:1 compact:1 depend:1 calculate:2 tp:2 th:14 stable:10 string:20 very:2 focus:1 trouble:1 difference:1 condition:1 school:1 presented:1 anisotropy:1 erratum:1 guo:1 mp4:1 large:10 solved:1 interpolating:1 small:6 jhep:3 smaller:1 says:1 ten:3 folds:4 consistent:3 prediction:1 estimated:1 wmap:10 even:3 index:5 what:2 appear:1 expressed:1 reheating:1 version:1 goes:1 new:2 method:2 satisfy:1 full:1 ibid:1 respectively:4 trivedi:2 henry:1 here:2 jcap:2 directions:1 along:2 change:3 obtained:2 institute:1 study:1 larger:1 usually:1 resonance:1 spacetime:1 ne3:2 kachru:3 emerge:1 via:2 spatially:1 figure:2 extra:1 apr:1 requiring:1 maldacena:1 semiclassical:1 planck:2 landscape:13 dne:1 use:2 freese:3 takes:1 would:2 probabilities:1 positive:2 predictions:1 few:3 live:1 sitter:2 qcd:1 taken:2 today:1 more:3 flat:2 becomes:3 none:1 quartic:1 collision:1 tunnel:1 equation:1 averaged:1 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0704.2836.txt |@word represent:1 abundances:1 delaware:1 japan:1 riedel:2 excellent:2 trigonometric:4 hubeny:6 leads:1 comments:1 broader:1 edu:7 covered:1 disk:67 dq:1 causes:2 poorly:1 synthetic:7 excludes:1 caveats:1 tv:4 tw:3 tt:3 tu:3 ts:1 tq:6 recurrence:2 quasi:1 edward:1 those:3 stable:1 atlas:1 include:1 applied:3 8m:1 advantage:1 far:2 could:1 listed:7 rise:8 iue:14 none:2 results:1 hst:3 denoted:1 cataclysmic:2 ultraviolet:5 anonymous:2 fall:3 cook:1 uncertain:3 associated:2 difference:2 cool:1 entire:2 level:3 tra:3 hyi:10 joel:1 list:2 radii:3 ryan:2 large:3 cooke:1 second:1 small:2 noted:2 tenths:1 work:1 slower:1 grateful:1 core:2 porb:5 estimates:8 direct:2 tef:3 horn:1 approximation:1 zero:4 eclipsing:2 timescales:1 value:7 concludes:1 further:1 estimated:7 ug:15 spectral:11 villanova:7 appear:2 vsnet:1 consortium:1 section:2 selected:1 hallmark:1 while:5 uniform:1 diaz:1 above:9 fractional:1 international:3 principal:1 temperatures:2 body:1 relationships:1 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