sentences
sequence | tags
sequence |
---|---|
[
"Regeneration",
" could",
" be",
" by",
" optical",
",",
" electrical",
",",
" pressure",
"/",
"acoustic",
",",
" thermal",
" or",
"\nother",
" means",
".",
"b",
")",
" Liquid",
" crystal",
" X",
"-",
"ray",
" light",
" valves",
"In",
" conjunction",
" with",
" optical",
" polarisers",
",",
" and",
" for",
" medical",
" X",
"-",
"ray",
" imaging",
",",
" these",
" devices",
" have",
" been",
"\nunder",
" development",
" for",
" several",
" years",
" [",
"58",
"]",
".",
"To",
" our",
" knowledge",
",",
" they",
" have",
" not",
" been",
" developed",
" for",
"\nIICV",
" purposes",
",",
" though",
" the",
" technology",
" appears",
" suitable",
".",
"Charges",
" induced",
" by",
" ionizing",
" radiation",
" in",
" a",
"\nsemiconductor",
" cause",
" local",
" alterations",
" of",
" birefringence",
" in",
" an",
" adjacent",
" thin",
" film",
" of",
" liquid",
" crystal",
",",
"\nleading",
" to",
" modulations",
" of",
" optical",
" phase",
" in",
" a",
" probing",
" light",
" field",
".",
"Foreseeable",
" complications",
" are",
" that",
"\nthe",
" dynamic",
" range",
" for",
" the",
" optical",
" phase",
" modulation",
" is",
" limited",
" by",
" the",
" possible",
" extent",
" of",
" molecular",
"\nconfiguration",
" change",
" in",
" the",
" liquid",
" crystal",
".",
"In",
" addition",
" the",
" kinetic",
" rates",
" of",
" the",
" molecular",
"\nreorientation",
" processes",
" are",
" slow",
" (",
"typically",
" 0",
".",
"01",
" -",
" 0",
".",
"1",
" s",
")",
" when",
" compared",
" to",
" repetition",
" rates",
" in",
" many",
"\npump",
"-",
"probe",
" experiments",
" (",
"e",
".",
"g",
".",
" kilohertz",
")",
".",
"c",
")",
" Ferroelectrics",
"In",
" ferroelectrics",
" optical",
" birefringence",
" is",
" modulated",
" by",
" local",
" electrical",
" fields",
",",
" including",
" free",
"\ncharges",
" generated",
" by",
" radiation",
"-",
"induced",
" ionization",
" in",
" the",
" bulk",
" of",
" the",
" material",
".",
"The",
" effect",
" on",
" a",
"\nspatially",
" coherent",
" light",
" field",
" is",
" similar",
" to",
" the",
" liquid",
" crystal",
" devices",
",",
" though",
" here",
" unconstrained",
" by",
"\nmacromolecular",
" reorientation",
".",
"Thus",
",",
" through",
" the",
" depth",
" of",
" a",
" ferroelectric",
" crystal",
",",
" local",
" optical",
" phase",
"\nshifts",
" can",
" occur",
" to",
" the",
" extent",
" that",
" phase",
" wrapping",
" occurs",
".",
"The",
" kinetics",
" of",
" the",
" atomic",
" repositioning",
"\nassociated",
" with",
" birefringence",
" are",
" also",
" very",
" different",
",",
" being",
" dependent",
" on",
" the",
" proximity",
" to",
" the",
" Curie",
"\ntemperature",
" [",
"50",
"]",
" and",
" ultrafast",
" material",
" chemical",
" dynamics",
" [",
"59",
"-",
"61",
"]",
".",
"An",
" important",
" work",
" in",
" the",
"\npresent",
" IICV",
" context",
" is",
" [",
"62",
"]",
";",
" we",
" also",
" draw",
" attention",
" to",
" references",
" [",
"63",
"-",
"65",
"]",
".",
"Acoustic",
" translation",
" and",
"\nspatiotemporal",
" manipulation",
" of",
" excitonic",
" states",
" in",
" related",
" devices",
" [",
"66",
"]",
" raises",
" the",
" possibility",
" of",
" a",
"\nlevel",
" of",
" control",
" comparable",
" to",
" that",
" employed",
" in",
" the",
" readout",
" mechanism",
" of",
" conventional",
" charge",
"\ncoupled",
" devices",
" (",
"CCDs",
")",
".",
"d",
")",
" Cloud",
" and",
" bubble",
" chambers",
"Here",
",",
" optical",
" detectability",
" of",
" single",
" events",
" is",
" associated",
" with",
" gain",
" in",
" a",
" supersaturated",
" vapor",
" or",
"\nsupercritical",
" liquid",
",",
" with",
" nucleation",
" points",
" caused",
" by",
" ionizing",
" radiation",
".",
"Liquid",
"-",
"gas",
" phase",
"\nboundaries",
" scatter",
" light",
" in",
" both",
" cases",
".",
"Many",
" theoretical",
" and",
" experimental",
" examinations",
" of",
" the",
" rate",
"\nand",
" growth",
" mechanisms",
" of",
" the",
" droplets",
"/",
"bubbles",
" have",
" been",
" made",
" [",
"67",
"-",
"69",
"]",
",",
" including",
" in",
" devices",
"\ndriven",
" by",
" pressure",
" waves",
" and",
" ultrasound",
" [",
"70",
"]",
".",
"The",
" latter",
" devices",
" could",
" be",
" temporally",
" phase",
" locked",
"\nto",
" pulsed",
" ionizing",
" radiation",
" sources",
" (",
"e",
".",
"g",
".",
" FELs",
")",
" and",
" pulsed",
" interrogation",
" lasers",
" [",
"71",
"-",
"73",
"]",
" to",
" permit",
"\ncontrol",
" of",
" the",
" optical",
" scatter",
" of",
" growing",
" droplets",
"/",
"bubbles",
" by",
" modulating",
" the",
" amplitude",
" and",
" temporal",
"\nphase",
" of",
" the",
" acoustic",
" field",
".",
"Bubble",
" chambers",
" offer",
" short",
" stopping",
" lengths",
" for",
" ionizing",
" radiations",
",",
" as",
"\nmotivated"
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[
"Ayush",
" Jain",
",",
" Gabriel",
" Sarch",
",",
" Adam",
" W",
" Harley",
",",
" and",
" Katerina",
" Fragkiadaki",
".",
" Move",
" to",
" see",
" better",
":",
" Towards",
" self",
"-",
"supervised",
" amodal",
" object",
" detection",
".",
" arXiv",
" preprint",
" arXiv",
":",
"2012",
".",
"00057",
" ,",
" 2020",
".",
" 3",
"\n[",
"15",
"]",
" Jorge",
" Fuentes",
"-",
"Pacheco",
",",
" José",
" Ruiz",
"-",
"Ascencio",
",",
" and",
" Juan",
" Manuel",
" Rendón",
"-",
"Mancha",
".",
" Visual",
" simultaneous",
" localization",
" and",
" mapping",
":",
" a",
" survey",
".",
" Artificial",
" intelligence",
" review",
" ,",
" 43",
"(",
"1",
")",
":",
"55",
"–",
"81",
",",
" 2015",
".",
" 3",
"\n[",
"16",
"]",
" Yarin",
" Gal",
",",
" Riashat",
" Islam",
",",
" and",
" Zoubin",
" Ghahramani",
".",
" Deep",
" bayesian",
" active",
" learning",
" with",
" image",
" data",
".",
" In",
" Proceedings",
" of",
" the",
" 34th",
" International",
" Conference",
" on",
" Machine",
" Learning",
"-",
"Volume",
" 70",
" ,",
" pages",
" 1183",
"–",
"1192",
".",
"JMLR",
".",
" org",
",",
" 2017",
".",
" 3",
"\n[",
"17",
"]",
" Dhiraj",
" Gandhi",
",",
" Lerrel",
" Pinto",
",",
" and",
" Abhinav",
" Gupta",
".",
" Learning",
" to",
" fly",
" by",
" crashing",
".",
" In",
" 2017",
" IEEE",
"/",
"RSJ",
" International",
" Conference",
" on",
" Intelligent",
" Robots",
" and",
" Systems",
" (",
"IROS",
")",
" ,",
" pages",
" 3948",
"–",
"3955",
".",
" IEEE",
",",
" 2017",
".",
" 1",
"\n[",
"18",
"]",
" Kaiming",
" He",
",",
" Xiangyu",
" Zhang",
",",
" Shaoqing",
" Ren",
",",
" and",
" Jian",
" Sun",
".",
" Deep",
" residual",
" learning",
" for",
" image",
" recognition",
",",
" 2015",
".",
" 6",
"\n[",
"19",
"]",
" Kaiming",
" He",
",",
" Georgia",
" Gkioxari",
",",
" Piotr",
" Dollár",
",",
" and",
" Ross",
" Girshick",
".",
" Mask",
" R",
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" Isola",
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" Kate",
" Saenko",
",",
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" Efros",
",",
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".",
" Cycada",
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"-",
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" domain",
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".",
" In",
" International",
" conference",
" on",
"\nmachine",
" learning",
" ,",
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"–",
"1998",
".",
" PMLR",
",",
" 2018",
".",
" 3",
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"21",
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" Horn",
".",
" Robot",
" vision",
" .",
" MIT",
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",",
" 1986",
".",
" 1",
"\n[",
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"]",
" Berthold",
" KP",
" Horn",
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" Brian",
" G",
" Schunck",
".",
" Determining",
" optical",
" flow",
".",
" Artificial",
" intelligence",
" ,",
" 17",
"(",
"1",
"-",
"3",
")",
":",
"185",
"–",
"203",
",",
" 1981",
".",
" 7",
",",
" 9",
"\n[",
"23",
"]",
" Eric",
" Jang",
",",
" Coline",
" Devin",
",",
" Vincent",
" Vanhoucke",
",",
" and",
" Sergey",
" Levine",
".",
" Grasp2vec",
":",
" Learning",
" object",
" representa",
"-",
" tions",
" from",
" self",
"-",
"supervised",
" grasping",
".",
" arXiv",
" preprint",
" arXiv",
":",
"1811",
".",
"06964",
" ,",
" 2018",
".",
" 3",
"\n[",
"24",
"]",
" Dinesh",
" Jayaraman",
" and",
" Kristen",
" Grauman",
".",
" Learning",
" image",
" representations",
" tied",
" to",
" ego",
"-",
"motion",
".",
" In",
" Proceed",
"-",
" ings",
" of",
" the",
" IEEE",
" International",
" Conference",
" on",
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" Vision",
" ,",
" pages",
" 1413",
"–",
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",",
" 2015",
".",
" 2",
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"]",
" Dinesh",
" Jayaraman",
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" Kristen",
" Grauman",
".",
" Look",
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" you",
" leap",
":",
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"-",
"to",
"-",
"end",
" active",
" recognition",
" by",
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" the",
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".",
" In",
" European",
" Conference",
" on",
" Computer",
" Vision",
" ,",
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" 489",
"–",
"505",
".",
" Springer",
",",
"\n2016",
".",
" 3",
"26",
"]",
" Dinesh",
" Jayaraman",
" and",
" Kristen",
" Grauman",
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" to",
" look",
" around",
":",
" Intelligently",
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" unseen",
" environments",
" for",
" unknown",
" tasks",
".",
" In",
" Proceedings",
" of",
" the",
" IEEE"
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[
"world",
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" requires",
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"\ndesigners",
" to",
" use",
" practical",
" techniques",
" to",
" create",
" useful",
" designs",
".",
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" what",
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" on",
" a",
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" scale",
".",
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".",
" OBJECTIVE",
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" to",
" build",
" a",
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",",
" which",
" will",
" extinguish",
" a",
" fire",
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" the",
" server’s",
" rooms",
" which",
" are",
" highly",
" prone",
" to",
" fire",
".",
"A",
" candle",
"\nwill",
" represent",
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" which",
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" in",
" the",
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" and",
"\nwhich",
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" find",
" and",
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".",
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" this",
" reason",
",",
"\na",
" light",
" sensor",
" cannot",
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" used",
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" detect",
" the",
" fire",
".",
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" able",
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" light",
" reading",
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" part",
" of",
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" design",
" complementation",
".",
"The",
" robot",
" will",
" sense",
" that",
" flame",
" by",
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" of",
" fire",
" sensor",
".",
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" be",
" having",
" a",
" wireless",
" camera",
" on",
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" head",
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" on",
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" transmission",
".",
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" from",
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" distance",
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" which",
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" will",
" increase",
" efficiency",
".",
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" can",
" also",
" be",
" used",
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" the",
" detection",
" of",
" mines",
".",
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",",
" it",
" is",
" used",
"\nin",
" both",
" small",
" areas",
" and",
" field",
" areas",
".",
"3",
".",
" FRAME",
" DESIGN",
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" design",
" of",
" Alpha",
"-",
" I",
" will",
" consist",
" a",
" round",
"/",
"square",
" base",
"\nwith",
" 3",
"-",
"4",
" wheels",
".",
"We",
" will",
" be",
" using",
" DC",
" gear",
" motors",
" instead",
" of",
"\nservomotors",
" because",
" in",
" gear",
" motors",
" we",
" need",
" not",
" to",
" do",
" any",
" sort",
"\nANAND",
" MOHAN",
" MISRA",
"*",
" et",
" al",
".",
"ISSN",
":",
" 2250",
"–",
"3676",
"\n[",
"IJESAT",
"]",
" INTERNATIONAL",
" JOURNAL",
" OF",
" ENGINEERING",
" SCIENCE",
" &",
" ADVANCED",
" TECHNOLOGY",
"\nVolume",
"-",
"2",
",",
" Issue",
"-",
"4",
",",
" 831",
" –",
" 835",
"IJESAT",
" |",
" Jul",
"-",
"Aug",
" 2012",
"Available",
" online",
" @",
" http",
":",
"/",
"/",
"www",
".",
"ijesat",
".",
"org",
"\n832",
"Up",
" till",
" now",
" we",
" have",
" decided",
" to",
" use",
" Lego",
"\nblocks",
" to",
" construct",
" the",
" frame",
".",
"The",
" Lego",
" blocks",
" ease",
" the",
"\nprocess",
" of",
" constructing",
" the",
" robot",
" since",
" all",
" the",
" blocks",
" were",
"\ndesigned",
" to",
" fit",
" each",
" other",
".",
"Instead",
" of",
" having",
" the",
" gears",
" lined",
" up",
"\nhorizontally",
" the",
" gears",
" would",
" be",
" redesigned",
" vertically",
".",
"The",
"\nupper",
" body",
" consists",
" of",
" the",
" arm",
" which",
" will",
" be",
" separated",
" into",
"\ntwo",
" points",
" and",
" there",
" will",
" be",
" total",
" 360",
" deg",
".",
" rotation",
" of",
" the",
" robot",
"\narm",
".",
"The",
" upper",
" portion",
" of",
" the",
" arm",
" will",
" comprise",
" of",
" the",
"\nwireless",
" camera",
".",
"We",
" will",
" be",
" placing",
" a",
" sort",
" of",
" bucket",
" or",
" a",
"\ncontainer",
" to",
" hold",
" water",
" on",
" the",
" body",
".",
"The",
" gear",
" ratio",
" remained",
" 27",
":",
"1",
" since",
" the",
" DC",
" motors",
" supplied",
" by",
"\nLego",
" usually",
" spins",
" too",
" fast",
" with",
" little",
" torque",
".",
"Gears",
" had",
" to",
" be",
"\nattached",
" into",
" three",
" stages",
".",
"Each",
" stages",
" having",
" an",
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"NISS2020",
",",
" March",
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"April",
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",",
" Marrakech",
",",
" Morocco",
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" Association",
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[
"d",
" +",
" d",
" ·",
" e",
" lω",
" (cid:17)",
" .",
"If",
" l",
" =",
" Ω",
"(",
" d",
" )",
" ,",
" then",
" the",
" term",
" d",
" ·",
" e",
" lω",
" =",
" d",
" ·",
" e",
" Ω",
"(",
" d",
" )",
" ω",
"\ndominates",
" d",
" 1",
" /",
" 2",
" ·",
" e",
" ω",
" ·",
" M",
" d",
" ,",
" otherwise",
" we",
" get",
" Θ",
" (cid:0)",
" d",
" 1",
" /",
" 2",
" ·",
" e",
" ω",
" (",
"1",
"+",
" o",
" (",
"1",
")",
")",
" ·",
" M",
" d",
" (cid:1)",
" ,",
" which",
" proves",
" Theorem",
" 3",
".",
"4",
".",
"4",
" Sparse",
" regime",
"For",
" sparse",
" datasets",
",",
" instead",
" of",
" radii",
",",
" we",
" operate",
" with",
" heights",
" of",
" spherical",
" caps",
".",
"A",
" crucial",
" feature",
"\nof",
" sparse",
" regime",
" is",
" that",
" the",
" heights",
" under",
" consideration",
" tend",
" to",
" zero",
" as",
" n",
" grows",
".",
"Indeed",
",",
" we",
" have",
"\nC",
" (",
" α",
" 1",
" )",
" ∼",
" 1",
" n",
" ,",
" i",
".",
"e",
".",
",",
" α",
" 21",
" ∼",
" 1",
" −",
" n",
" −",
" 2",
" d",
" =",
" 1",
" −",
" e",
" −",
" 2",
" ω",
" ∼",
" 2",
" ω",
" .",
"We",
" further",
" denote",
" 2",
" ω",
" by",
" δ",
" .",
"We",
" construct",
" G",
" (",
" M",
" )",
" using",
" spherical",
" caps",
" with",
" height",
" α",
" M",
" ,",
" α",
" 2",
" M",
" =",
" M",
" δ",
" ,",
" where",
" M",
" is",
" some",
"\nconstant",
".",
"Then",
",",
" from",
" Lemma",
" 1",
",",
" we",
" get",
" that",
" the",
" expected",
" number",
" of",
" neighbors",
" of",
" a",
" node",
" is",
"\nf",
" =",
" Θ",
" (cid:0)",
" n",
" d",
" O",
" (",
"1",
")",
" (",
"1",
" −",
" Mδ",
" )",
" d",
"/",
" 2",
" (cid:1)",
" =",
" n",
" 1",
" −",
" M",
" +",
" o",
" (",
"1",
")",
" .",
"From",
" this",
" and",
" Appendix",
" B",
".",
"2",
" the",
" stated",
" space",
" com",
"-",
"\nplexity",
" follows",
".",
"The",
" one",
"-",
"step",
" time",
" complexity",
" n",
" 1",
" −",
" M",
" +",
" o",
" (",
"1",
")",
" follows",
" from",
" Appendix",
" B",
".",
"1",
".",
"Our",
" aim",
" is",
" to",
" solve",
" c",
",",
" R",
" -",
"ANN",
" with",
" some",
" c",
" >",
" 1",
" ,",
" R",
" >",
" 0",
" .",
"If",
" R",
" ≥",
" π",
"/",
" 2",
" c",
" ,",
" then",
" we",
" can",
" easily",
" find",
" the",
"\nrequired",
" near",
" neighbor",
" within",
" a",
" distance",
" π",
"/",
" 2",
" ,",
" since",
" we",
" start",
" G",
" (",
" M",
" )",
" -",
"based",
" NNS",
" from",
" such",
" point",
".",
"Let",
"\nus",
" consider",
" any",
" R",
" <",
" π",
" 2",
" c",
" .",
"It",
" is",
" clear",
" that",
" in",
" this",
" case",
" we",
" have",
" to",
" find",
" the",
" nearest",
" neighbor",
" itself",
",",
" since",
"\nR",
" c",
" is",
" smaller",
" than",
" the",
" distance",
" to",
" the",
" (",
"non",
"-",
"planted",
")",
" nearest",
" neighbor",
" with",
" probability",
" 1",
" +",
" o",
" (",
"1",
")",
" .",
"Note",
"\nthat",
" α",
" c",
" =",
" cos",
" π",
" 2",
" c",
" <",
" α",
" R",
" :",
"=",
" cos",
" R",
" .",
"The",
" following",
" Lemma",
" is",
" proven",
" in",
" Appendix",
" D",
".",
"1",
".",
"Lemma",
" 4",
".",
"Assume",
" that",
" α",
" 2",
" M",
" =",
" Mδ",
" ,",
" α",
" 2",
" s",
" =",
" sδ",
" ,",
" α",
" 2",
" ε",
" =",
" εδ",
" ,",
" M",
",",
" s",
" >",
" 0",
" are",
" constants",
",",
" and",
" ε",
" ≥",
" 0",
" is",
"\nbounded",
" by",
" a",
" constant",
".",
"If",
" s",
" +",
" M",
" <",
" 1",
" ,",
" then",
" W",
" (",
" α",
" M",
" ,",
" α",
" s",
" ,",
" arccos",
" α",
" ε",
" )",
" ≥",
" 1",
" n",
" ·",
" n",
" Ω",
"(",
"1",
")",
" .",
"It",
" follows",
" from",
" the",
" lemma",
" that",
" if",
" M",
" +",
" s",
" <",
" 1",
" ,",
" then",
" we",
" can",
" reach",
" a",
" spherical"
] | [
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[
"to",
" the",
" description",
" contained",
" in",
" the",
" two",
" series",
" of",
" ca",
"-",
"\ndastral",
" registers",
")",
" according",
" to",
" the",
" aim",
" of",
" the",
" research",
" project",
",",
" the",
" original",
" documents",
" (",
"maps",
" and",
"\nregisters",
")",
" were",
" acquired",
" by",
" means",
" of",
" high",
" resolution",
" scanning",
",",
" according",
" to",
" parameters",
" of",
" com",
"-",
"\nmon",
" use",
" in",
" cartography",
" (",
"Sgambati",
" et",
" al",
".",
" 2006",
")",
".",
"The",
" main",
" steps",
" of",
" digital",
" elaboration",
",",
" widely",
" dis",
"-",
"\ncussed",
" in",
" Bitelli",
" and",
" Gatta",
" (",
"2011a",
")",
",",
" are",
" here",
" summarized",
".",
"Georeferencing",
" and",
" mosaicking",
"The",
" ground",
" floor",
" maps",
" were",
" individually",
" georeferenced",
" in",
" the",
" UTM",
"-",
"ED50",
" cartographic",
" system",
",",
"\nby",
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" of",
" Ground",
" Control",
" Points",
" (",
"GCPs",
")",
" belonging",
" to",
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" buildings",
" which",
" had",
" not",
" been",
"\nsubject",
" to",
" important",
" variations",
" during",
" time",
",",
" as",
" resulting",
" from",
" a",
" careful",
" consultation",
" of",
" graphic",
" and",
"\ndescriptive",
" historical",
" documentation",
" (",
"Bocchi",
" et",
" al",
".",
" 1998",
")",
";",
" the",
" coordinates",
" were",
" deduced",
" from",
" the",
"\ncurrent",
" large",
"-",
"scale",
" numerical",
" map",
" of",
" the",
" Bologna",
" Municipality",
" (",
"CTC",
")",
".",
"Therefore",
",",
" the",
" maps",
" were",
"\ndigitally",
" joined",
" basing",
" only",
" on",
" the",
" georeferencing",
" information",
",",
" and",
" a",
" digital",
" mosaic",
" was",
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".",
"The",
" maps",
" of",
" the",
" floors",
" above",
" and",
" below",
" were",
" georeferenced",
" based",
" on",
" the",
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",",
" due",
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":",
" the",
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" with",
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" of",
" the",
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"\nfloor",
",",
" and",
" the",
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" of",
" recognizing",
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" higher",
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" of",
" GCPs",
".",
"Digital",
" mosaics",
",",
" each",
" one",
" com",
"-",
"\ning",
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",",
" were",
" achieved",
".",
"Virtual",
" restoration",
"Secondly",
",",
" a",
" virtual",
" restoration",
" (",
"Federzoni",
",",
" 2008",
")",
" was",
" carried",
" out",
" on",
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" floor",
" cadastral",
" sheets",
",",
" since",
" their",
" analogical",
" supports",
" have",
" been",
" partially",
" subject",
" to",
" wear",
"\nand",
" tear",
",",
" due",
" to",
" frequent",
" use",
" during",
" time",
".",
"This",
" was",
" made",
" only",
" on",
" the",
" ground",
" floor",
" mosaic",
",",
" in",
" or",
"-",
"\nder",
" to",
" provide",
" mapping",
" information",
" (",
" i",
".",
"e",
".",
" geometry",
" and",
" identifying",
" number",
" of",
" the",
" lots",
")",
" where",
" data",
"\nwere",
" lacking",
" because",
" of",
" wear",
" and",
" tear",
" of",
" the",
" analogical",
" support",
".",
"To",
" reach",
" the",
" aim",
",",
" the",
" original",
"\nNapoleonic",
" map",
" (",
"1812",
"-",
"14",
")",
" kept",
" at",
" the",
" National",
" Archive",
" of",
" Rome",
" (",
"better",
" preserved",
" than",
" the",
" 1831",
"\nrectangular",
" sheets",
",",
" due",
" to",
" the",
" fact",
" that",
" the",
" maps",
" stored",
" in",
" the",
" Presidenza",
" del",
" Censo",
" were",
" not",
" used",
"\nto",
" achieve",
" administrative",
" aims",
")",
" was",
" used",
":",
" a",
" digital",
" copy",
" of",
" the",
" map",
" (",
"provided",
" by",
" the",
" Rome",
" Na",
"-",
"\ntional",
" Archive",
")",
" was",
" referenced",
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" the",
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" of",
" the",
" 1831",
" ground",
" floor",
" mosaic",
",",
" and",
" coloured",
" using",
" a",
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" colour",
" tone",
";",
" therefore",
",",
" all",
" areas",
" lacking",
" data",
" in",
" the",
" 1831",
" mosaic",
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" and",
" make",
" the",
" latter",
"\nvisible",
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" the",
" 1831",
" mosaic",
" (",
"Fig",
".",
" 3",
")",
".",
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",",
" and",
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"-",
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[
"simulation",
",",
" we",
"\ninvestigate",
" the",
" effect",
" of",
" the",
" coordination",
" number",
" Z",
" (",
"the",
" average",
" number",
" of",
" contacts",
" per",
" particle",
")",
"\nand",
" the",
" fluctuation",
" of",
" the",
" number",
" of",
" contacts",
" per",
" particle",
" Z",
" (cid:1)",
" .",
"We",
" adopt",
" a",
" numerical",
" protocol",
" to",
"\ncreate",
" several",
" initial",
" packings",
" characterized",
" by",
" the",
" same",
" volume",
" fraction",
" and",
",",
" for",
" a",
" given",
" isotropic",
"\npressure",
",",
" we",
" are",
" able",
" to",
" obtain",
" different",
" coordination",
" numbers",
".",
"That",
" is",
",",
" pressure",
" and",
" coordination",
"\nnumber",
",",
" for",
" a",
" given",
" volume",
" fraction",
",",
" are",
" independent",
".",
"The",
" result",
" is",
" that",
" packings",
" with",
" fixed",
" volume",
"\nfraction",
" and",
" isotropic",
" pressure",
" exhibit",
" a",
" different",
" elastic",
" response",
".",
"We",
" attribute",
" this",
" behavior",
" only",
"\nto",
" the",
" coordination",
" number",
" as",
" we",
" find",
",",
" surprisingly",
",",
" that",
" Z",
" is",
" linked",
" to",
" Z",
" (cid:1)",
" .",
"Copyright",
" c",
" (cid:1)",
" EPLA",
",",
" 2008",
"Introduction",
".",
" –",
"Understanding",
" the",
" elastic",
" response",
" of",
"\ngranular",
" materials",
" is",
" important",
" due",
" to",
" the",
" large",
" number",
" of",
"\napplications",
" as",
" well",
" as",
" for",
" elucidating",
" fundamental",
" aspects",
"\nof",
" the",
" behavior",
" of",
" particulate",
" systems",
" [",
"1",
"–",
"3",
"]",
".",
"However",
",",
" a",
"\nbasic",
" understanding",
" of",
" the",
" physics",
" of",
" granular",
" elasticity",
"\nis",
" currently",
" lacking",
".",
"For",
" instance",
",",
" basic",
" issues",
" such",
" as",
" the",
"\ndetermination",
" of",
" the",
" proper",
" state",
" variables",
" to",
" describe",
" the",
"\naverage",
" shear",
" G",
" and",
" bulk",
" K",
" moduli",
" of",
" the",
" assembly",
" are",
"\nstill",
" unsolved",
".",
"Furthermore",
",",
" a",
" previous",
" analysis",
" (",
"see",
" [",
"2",
"]",
"\nfor",
" a",
" review",
")",
" raises",
" serious",
" questions",
" about",
" the",
" validity",
"\nof",
" the",
" generally",
" accepted",
" theoretical",
" elastic",
" formulations",
".",
"Conventional",
" approaches",
" in",
" the",
" framework",
" of",
" solid",
"-",
"state",
"\nelasticity",
" [",
"4",
"]",
" consider",
" a",
" uniform",
" strain",
" at",
" all",
" scales",
",",
"\nand",
" that",
" the",
" displacement",
" field",
" of",
" the",
" grains",
" is",
" affine",
"\nwith",
" the",
" macroscopic",
" deformation",
" (",
"affine",
" approximation",
")",
".",
"These",
" average",
" strain",
" theories",
" developed",
" by",
" Digby",
" and",
"\nWalton",
" [",
"5",
",",
"6",
"]",
" in",
" the",
" 1980s",
" predict",
" the",
" moduli",
" in",
" terms",
"\nof",
" the",
" external",
" pressure",
",",
" the",
" volume",
" fraction",
" and",
" average",
"\ncoordination",
" number",
" (",
" p",
" 0",
" ,",
" φ",
",",
" Z",
" )",
".",
"In",
" particular",
",",
" the",
" pressure",
"\ndependency",
" is",
" G",
" ∼",
" K",
" ∼",
" p",
" 1",
" /",
" 3",
" 0",
" ,",
" a",
" direct",
" consequence",
" of",
" the",
"\nHertz",
" interaction",
" between",
" the",
" particles",
".",
"The",
" difficulty",
" in",
"\ndescribing",
" theoretically",
" the",
" shear",
" modulus",
" of",
" an",
" aggregate",
"\nof",
" grains",
" is",
" due",
" to",
" the",
" complex",
" relaxation",
" of",
" the",
" particles",
"\nfrom",
" the",
" initial",
" uniform",
" strain",
" approximation",
" related",
"\nto",
" the",
" structural",
" disorder",
" in",
" the",
" packing",
" [",
"7",
"]",
".",
"Going",
"\nbeyond",
" these",
" theoretical",
" frameworks",
" requires",
" a",
" more",
"\nsophisticated",
" theory",
" in",
" which",
" we",
" explicitly",
" account",
" for",
"\ncollective",
" fluctuations",
" and",
" relaxation",
" of",
" the",
" particles",
".",
"Recent",
" attempts",
" in",
" this",
" direction",
" are",
" developed",
" in",
" [",
"8",
"–",
"10",
"]",
"\nwhere",
" statistical",
" parameters",
" from",
" a",
" fluctuation",
" analysis",
"\nare",
" introduced",
" to",
" describe",
" the",
" scaling",
" of",
" the",
" moduli",
".",
"In",
"\nparticular",
",",
" the",
" role",
" of",
" the",
" fluctuation",
" of",
" the",
" number",
" of",
"\ncontacts",
" per",
" particles",
" Z",
" (cid:1)",
" =",
" Z",
" −",
" Z",
" seems",
" to",
" be",
" relevant",
".",
"In",
"\nthese",
" theoretical",
" models",
",",
" fluctuations",
" are",
" introduced",
" in",
" the",
"\nkinematics",
" of",
" contacting",
" particles",
".",
"They",
" are",
" determined",
"\nas",
" functions",
" of",
" “fabric",
" tensors”",
" that",
" describe",
",",
" on"
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[
"As",
"\nsoon",
" as",
" the",
" obstacle",
" is",
" detected",
",",
" the",
" sensor",
" detects",
" it",
"\nand",
" sends",
" it",
" to",
" the",
" device",
" which",
" generates",
" an",
"\nautomated",
" buzzer",
" voice",
" near",
" the",
" ear",
".",
"An",
" IR",
" sensor",
"\ndetects",
" theposition",
" of",
" the",
" glasses",
" when",
" they",
" fell",
" off",
" the",
"\nto",
" the",
" ground",
".",
"As",
" soon",
" as",
" it",
" fell",
" down",
" its",
" start",
" a",
" buzzer",
"\nthat",
" intimate",
" the",
" position",
" to",
" pick",
" it",
" again",
" by",
" the",
" user",
".",
"Key",
" Words",
" :",
" Aurdino",
" Uno",
",",
" Ultrasonic",
" Sensors",
",",
" Buzzer",
"INTRODUCTION",
"On",
" an",
" approximation",
" 285",
" million",
" people",
" are",
" visually",
"\nimpaired",
" across",
" the",
" globe",
",",
" among",
" which",
" 39",
" million",
" are",
"\nblind",
" and",
" 246",
" have",
" low",
" vision",
" according",
" to",
" WHO",
"\nstatistics",
" of",
" 2011",
".",
"About",
" 90",
"%",
" of",
" the",
" world",
"'",
"s",
" visually",
"\nimpaired",
" live",
" in",
" low",
"-",
"income",
" settings",
" whereas",
" 82",
"%",
" of",
"\npeople",
" living",
" with",
" blindness",
" are",
" aged",
" 50",
" and",
" above",
".",
"India",
" is",
" now",
" home",
" to",
" the",
" world",
"'",
"s",
" largest",
" number",
" of",
"\nblinds",
".",
"Out",
" of",
" the",
" 37",
" million",
" blind",
" people",
" worldwide",
",",
"\nover",
" 15",
" million",
" are",
" from",
" India",
".",
"The",
" worst",
" thing",
" is",
" that",
"\n75",
"%",
" of",
" these",
" are",
" cases",
" of",
" avoidable",
" blindness",
".",
"India",
" has",
"\nan",
" acute",
" shortage",
" of",
" optometrists",
" and",
" donated",
" eyes",
" for",
"\nthe",
" treatment",
" of",
" corneal",
" blindness",
".",
"While",
" India",
" needs",
"\n40",
",",
"000",
" optometrists",
",",
" it",
" has",
" only",
" 8",
",",
"000",
".",
"Blind",
" people",
" are",
"\nusually",
" dependent",
" on",
" assistance",
" from",
" others",
".",
"The",
"\nassistance",
" can",
" be",
" from",
" human",
" beings",
",",
" dogs",
" or",
" some",
"\nspecial",
" electronic",
" devices",
".",
"There",
" are",
" already",
" many",
"\nexisting",
" devices",
" which",
" helpa",
" blind",
" person",
" in",
" walking",
".",
"The",
" most",
" common",
" is",
" the",
" simple",
" walking",
" stick",
" or",
" cane",
".",
"The",
"\nblind",
"\nman",
"\nuses",
"\nit",
"\nto",
"\ndetect",
"\nthe",
"\nobstaclesbysweeping",
" the",
" cane",
" back",
" and",
" forth",
" but",
"\nunfortunately",
" sometimes",
" the",
" blind",
" man",
" gets",
" aware",
"\nabout",
" the",
" obstacle",
" too",
" late",
".",
"With",
" the",
" recent",
" advances",
"\nin",
" technology",
" normal",
" glsses",
" can",
" be",
" modified",
" to",
" smart",
"\nblind",
" glasses",
" with",
" an",
" untrasonic",
" sensor",
" attached",
" to",
" it",
".",
"It",
"\nhas",
" several",
" limitations",
".",
"Therefore",
",",
" the",
" solution",
" that",
" has",
"\nbeen",
" protrayed",
" in",
" this",
" paper",
" is",
" cost",
" effective",
",",
" reliable",
",",
"\nrobust",
" and",
" portable",
" device",
" which",
" would",
" help",
" a",
" blind",
"\nperson",
" to",
" walk",
" on",
" the",
" streets",
" almost",
" like",
" any",
" other",
"\npedestrian",
".",
"LITERATURE",
" SURVEY",
"In",
" a",
" rapidly",
" flourishing",
" country",
" like",
" our",
" innumerable",
"\nnumber",
" of",
" attempts",
" has",
" been",
" made",
" for",
" the",
" welfare",
" of",
"\nespecially",
" able",
" people",
" of",
" our",
" society",
".",
"One",
" of",
" such",
"\nattempts",
" is",
" the",
" project",
" ,",
" an",
" empathetic",
" attempt",
"\ntowards",
" the",
" blind",
" children",
" to",
" help",
" them",
" gain",
" knowledge",
"\nof",
" a",
" set",
" of",
" obstacles",
" around",
" them",
" by",
" using",
" their",
" brains",
".",
"Sheth",
" et",
" al",
" worked",
" on",
" how",
" a",
" blind",
" people",
" can",
" be",
" able",
"\nto",
" detect",
" any",
" type",
" of",
" pits",
",",
" potholes",
" and",
" several",
" ups",
" and",
"\ndowns",
" by",
" using",
" a",
" smart",
" white",
" cane",
" where",
" they",
" have",
"\nused",
" ultrasonic",
" sensors",
".",
"In",
" this",
" device",
" a",
" multilingual",
"\nsystem",
" for",
" audio",
" feedback",
" cannot",
" be",
" used",
" because",
" it",
"\ncan",
" record",
" only",
" for",
" 680",
" seconds",
".",
"The",
" idea",
" that",
" can",
" be",
"\nseen",
" in",
" has",
" an",
" ultrasonic",
" sensor",
",",
" a",
" water",
" sensor",
" and",
" a",
"\npit",
" sensor",
".",
"It",
" also",
" consists"
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[
"possibly",
" dense",
" set",
" of",
" discontinuities",
" and",
" certainly",
" not",
"\ndifferentiable",
" at",
" generic",
" points",
".",
"The",
" graph",
" of",
" the",
" function",
" C",
" shown",
" in",
" Fig",
".",
" 3",
",",
" on",
" the",
" other",
"\nhand",
",",
" suggests",
" that",
" it",
" is",
" everywhere",
" continuous",
" and",
" possibly",
" even",
" differentiable",
" except",
"4",
" Page",
" 4",
" of",
" 24",
"Lewis",
" and",
" Zagier",
" ResMathSci",
" (",
"2019",
")",
" 6",
":",
"4",
"Fig",
".",
" 3",
" Graph",
" of",
" the",
" function",
" C",
" (",
" x",
" )",
"\nat",
" rational",
" points",
" with",
" odd",
" numerator",
" and",
" denominator",
",",
" where",
" it",
" seems",
" to",
" be",
" left",
" and",
"\nright",
" differentiable",
" but",
" with",
" a",
" discontinuous",
" derivative",
".",
"Our",
" second",
" main",
" result",
",",
" proved",
"\nin",
" Sect",
".",
" 4",
",",
" refutes",
" the",
" last",
" of",
" these",
" statements",
" and",
" confirms",
" the",
" others",
".",
"Theorem",
" 2",
" ThefunctionH",
" (",
" x",
" )",
" isdiscontinuousatallrationalpointsx",
" withoddnumerator",
"\nand",
" denominator",
" and",
" is",
" continuous",
" but",
" not",
" left",
" or",
" right",
" differentiable",
" at",
" other",
" rational",
"\npoints",
".",
"The",
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" C",
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" x",
" )",
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" is",
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" and",
" denominator",
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"The",
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"-",
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" period",
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".",
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",",
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" H",
" is",
" even",
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",",
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" can",
" write",
" a",
"B2",
" (",
"0",
",",
" infinite"
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[] | [] |
[
"of",
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" conformation",
" of",
" the",
" wall",
".",
"These",
" excitations",
" can",
" occur",
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" all",
" length",
"\nscales",
":",
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" can",
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" within",
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" etc",
".",
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" not",
"\nspecific",
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"-",
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" but",
" is",
" also",
" true",
" for",
" a",
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" in",
" a",
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"\nferromagnet",
" that",
" can",
" adopt",
" many",
" different",
" metastable",
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".",
"An",
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" difference",
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" that",
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" a",
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" ferromagnet",
",",
" these",
" domain",
" walls",
"\nhave",
" a",
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":",
" this",
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"-",
"\n5",
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".",
"The",
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" is",
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" slow",
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" order",
" [",
"43",
",",
" 35",
"]",
".",
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" phase",
" space",
" is",
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".",
"It",
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" these",
" pinned",
" ‘domain",
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"Identical",
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" −",
" 1",
" ,",
" ℓ",
" n",
" −",
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" ,",
" .",
".",
".",
" ,",
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" b",
" n",
" ℓ",
" 0",
" ,",
" and",
" b",
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"-",
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"19",
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" [",
"36",
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" 37",
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"In",
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",",
" the",
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" ℓ",
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":",
"\nt",
" n",
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" (",
" ℓ",
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"\nΥ",
" ℓ",
" ψn",
"\nk",
" B",
" T",
" !",
"\n(",
"1",
")",
"\nwhere",
" τ",
" 0",
" is",
" a",
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" time",
",",
" Υ",
" a",
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" energy",
" setting",
" the",
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" and",
" ψ",
" the",
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"-",
"called",
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".",
"This",
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":",
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" ℓ",
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" −",
" 1",
" ,",
" ℓ",
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" −",
" 2",
" ,",
" .",
".",
".",
" .",
"This",
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",",
" as",
" emphasized",
" in",
" [",
"38",
"]",
",",
" that",
" on",
" a",
" time",
"\nscale",
" t",
" n",
" ,",
" all",
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" on",
" scales",
" ℓ",
" n",
" ′",
" with",
" n",
" ′",
" >",
" n",
" are",
" essentially",
" frozen",
" ,",
" whereas",
"\nall",
" excitations",
" on",
" scales",
" ℓ",
" n",
" ′",
" with",
" n",
" ′",
" <",
" n",
" are",
" essentially",
" equilibrated",
" .",
"Note",
" also",
"\nthat",
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" length",
" scales",
" are",
" ‘slaved’",
" to",
" large",
" length",
" scales",
":",
" when",
" a",
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" have",
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"-",
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"\na",
" new",
" environment",
".",
"In",
" this",
" sense",
",",
" the",
" dynamics",
" is",
" hierarchical",
" (",
"see",
" a",
" related",
"\ndiscussion",
" in",
" [",
"32",
"]",
".",
"We",
" will",
" choose",
" to",
" write",
" Eq",
".",
"(",
"1",
")",
" in",
" a",
" generalized",
" form",
",",
" more",
" appropriate",
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" vicinity",
" of",
" the",
" spin",
"-",
"glass",
" transition",
" 1",
" :",
"\nt",
" n",
" =",
" t",
" (",
" ℓ",
" n",
" ,",
" T",
" )",
" ∼",
" τ",
" 0",
" ℓ",
" z",
" c",
" n",
" exp",
"\nΥ"
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"02",
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"00",
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"01",
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"03",
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"02",
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"00",
" 0",
".",
"02",
" 0",
".",
"02",
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"01",
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"06",
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" Reproduction",
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" held",
"-",
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" test",
" sets",
" and",
" the",
" Multilingual",
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".",
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".",
"”",
" contains",
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" difference",
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" results",
" by",
" Röttger",
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" al",
".",
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" 50",
" ,",
" 100",
" ,",
" 200",
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" 300",
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" 400",
" ,",
" 500",
" ,",
"\n1000",
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" 2000",
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" Figure",
" 2",
"\nas",
" X",
" +",
" En",
" HS",
" .",
"Note",
" that",
" En",
" HS",
" is",
" a",
" stand",
"-",
"in"
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"Adriatic",
"\nbelt",
",",
" while",
" further",
" east",
",",
" along",
" the",
" coast",
",",
" marine",
" sedimentation",
"\nwas",
" ending",
" (",
"Gentili",
" et",
" al",
".",
" 1998",
")",
",",
" (",
"Fig",
".",
" 5",
")",
".",
"Continental",
" landforms",
"When",
" the",
" tectonic",
"-",
"sedimentary",
" evolution",
" described",
" above",
"\nended",
" (",
"Messinian",
"–",
"early",
" Pleistocene",
")",
",",
" the",
" fundamental",
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"-",
"\nphostructural",
" fea",
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" of",
" the",
" landscape",
" were",
" already",
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".",
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",",
" the",
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"-",
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" model",
" ling",
" processes",
",",
" in",
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" tion",
" with",
" the",
" increasing",
" tectonic",
" activity",
",",
" produced",
" the",
"\nre",
"-",
"shaping",
" of",
" the",
" landscape",
".",
"The",
" oldest",
" traces",
" are",
" placed",
" at",
" or",
"\nnear",
" the",
" top",
" of",
" the",
" calcareous",
" ridges",
" and",
" of",
" the",
" arena",
" ceous",
"\nreliefs",
" of",
" the",
" Apennines",
" and",
" consist",
" of",
" residual",
" limbs",
" of",
" an",
"\nextensive",
" wavy",
" (",
"locally",
" flat",
")",
" surface",
":",
" the",
" “summit",
" relict",
" sur",
"-",
"\nface”",
".",
"Younger",
" limbs",
" of",
" smaller",
" extent",
" and",
" belonging",
" to",
" other",
"\ntwo",
" generations",
" of",
" surfaces",
" are",
" embedded",
" in",
" it",
":",
" they",
" also",
" occur",
"\nin",
" the",
" hilly",
" area",
",",
" where",
" they",
" are",
" also",
" placed",
" at",
" the",
" top",
" of",
" the",
"\nrelief",
" while",
" in",
" the",
" coastal",
" sector",
" only",
" the",
" newer",
" generation",
" can",
"\nbe",
" detected",
" (",
"Fig",
".",
" 6",
")",
".",
"All",
" these",
" surfaces",
" constituted",
" a",
" low",
"-",
"relief",
" landscape",
" charac",
"-",
"\nterized",
" by",
" wide",
" valleys",
",",
" which",
" later",
" became",
" home",
" to",
" important",
"\nsubaerial",
" depositional",
" processes",
".",
"Looking",
" at",
" the",
" pedemoun",
"-",
"\ntain",
" areas",
" in",
" more",
" detail",
",",
" the",
" deposition",
" of",
" wide",
" alluvial",
" fans",
"\ntook",
" place",
",",
" giving",
" rise",
" to",
" a",
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" relief",
" inversion",
" with",
"\ninterfluves",
" often",
" very",
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" from",
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" current",
" ones",
".",
"The",
" topo",
"-",
"\ngraphical",
" location",
" of",
" the",
" different",
" planation",
" surfaces",
",",
" placed",
" at",
"\nelevations",
" higher",
" than",
" the",
" alluvial",
" deposits",
",",
" allows",
" us",
" to",
" date",
"\nback",
" to",
" prior",
" of",
" the",
" Middle",
" Pleistocene",
" the",
" last",
" phase",
" of",
"\nmodelling",
" of",
" this",
" landscape",
".",
"This",
" “palaeotopography”",
" was",
" deformed",
" by",
" the",
" tectonic",
"\nuplift",
" of",
" the",
" area",
" and",
" by",
" the",
" transversal",
" tectonic",
" elements",
"\n(",
"SSW",
"–",
"NNE",
" faults",
")",
" which",
" have",
" acted",
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",",
" during",
" and",
" after",
"\nthe",
" construction",
" of",
" the",
" Apennine",
" chain",
" (",
"Boccaletti",
" et",
" al",
".",
" 1986",
";",
"\nFig",
".",
" 5",
".",
" Tectonic",
"-",
"sedimentary",
" evolution",
" during",
" the",
" Sicilian",
" (",
"early",
" Pleistocene",
")",
".",
"13",
" GEOMORPHOLOGICAL",
" EVOLUTION",
" OF",
" THE",
" ADRIATIC",
" SIDE",
" OF",
" CENTRAL",
" ITALY",
"\nGEOLOGICA",
" CARPATHICA",
" ,",
" 2017",
",",
" 68",
",",
" 1",
",",
" 6",
" –",
" 18",
"\nCalamita",
" &",
" Deiana",
" 1988",
";",
" Dramis",
" et",
" al",
".",
" 1991",
";",
" Calamita",
" et",
" al",
".",
"\n1999",
")",
".",
"During",
" the",
" Quaternary",
" the",
" tectonic",
" elements",
",",
" by",
" means",
"\nof",
" differentiated",
" vertical",
" movements",
",",
" created",
" several",
" trans",
"-",
"\nversal",
" morphostructures",
",",
" indicated",
" by",
" clear",
" N",
"–",
"S",
" undulations",
"\nof",
" the",
" planation",
" surfaces",
" that",
" are",
" more",
" accentuated",
" in",
" the",
" older",
"\nones",
".",
"Same",
" undulations",
" can",
" also",
" be",
" recognized",
" in",
" the",
" oldest",
"\nalluvial",
" deposits",
" (",
"early",
" middle",
" Pliocene",
")",
" and",
" in",
" the",
" Sicilian",
"-",
"\nCrotonian",
" sediments",
" which",
" closed",
" the",
" Pliocene",
"–",
"Pleistocene",
"\ncycle",
" of",
" deposition",
".",
"Three",
" main",
" SSW",
"–",
"NNE",
" “ridges”",
",",
" from",
" the",
" Apennine",
" chain",
" to",
"\nthe",
" Adriatic",
" Sea",
",",
" can",
" be",
" recognized",
":",
" Mount",
" Nerone",
"–",
"Pesaro",
",",
" to",
"\nthe",
" north",
";",
" Mount",
" Penna",
"–"
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[
"sp",
".",
";",
" Po",
" (cid:1)",
" ta",
",",
" p",
".",
" 196",
",",
" pl",
".",
" 9",
",",
"\nfig",
".",
" 14",
".",
"1957",
" Dictyonema",
" (",
"Pseudodictyonema",
")",
" graptolithorum",
" Po",
" (cid:1)",
" ta",
",",
" 1894",
";",
"\nBou",
" (cid:1)",
" ek",
",",
" p",
".",
" 69",
"–",
"70",
",",
" pl",
".",
" 7",
",",
" pl",
".",
" 8",
",",
" figs",
".",
" 4",
"–",
"6",
",",
" text",
"-",
"fig",
".",
" 27a",
"–",
"c",
".",
"Material",
" .",
" AM",
" F114753",
",",
" AM",
" F114755",
" and",
" AM",
" F114645",
",",
"\nall",
" from",
" F14",
",",
" Bridge",
" Creek",
".",
"Diagnosis",
" .",
" Pseudodictyonema",
" with",
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",",
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" stipes",
",",
" a",
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";",
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" at",
" 14",
"–",
"16",
" in",
" 10",
" mm",
";",
"\ndissepiments",
" 8",
"–",
"13",
" in",
" 10",
" mm",
";",
" stipes",
" 0",
".",
"30",
"–",
"0",
".",
"50",
" mm",
" wide",
";",
"\nautothecal",
" spacing",
" about",
" 14",
"–",
"15",
" in",
" 10",
" mm",
".",
"322",
"\nRecords",
" of",
" the",
" Australian",
" Museum",
" (",
"2003",
")",
" Vol",
".",
" 55",
"Description",
" .",
" The",
" stipes",
" are",
" markedly",
" parallel",
" and",
" the",
"\nmeshwork",
" strikingly",
" rectangular",
".",
"The",
" largest",
" rhabdosome",
"\nin",
" our",
" collection",
" is",
" 15",
" mm",
" long",
" by",
" 25",
" mm",
" wide",
",",
" probably",
"\ndeveloped",
" from",
" a",
" short",
" stem",
".",
"The",
" autothecae",
" have",
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"\napertural",
" regions",
" at",
" the",
" ends",
" of",
" long",
" tubes",
" which",
",",
" with",
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" others",
",",
" make",
" up",
" the",
" ropy",
" texture",
" of",
" the",
" stipes",
".",
"Despite",
" the",
" obvious",
" complexity",
" of",
" the",
" stipes",
" the",
" autothecal",
"\napertures",
" are",
" spaced",
" regularly",
" at",
" 14",
"–",
"15",
" in",
" 10",
" mm",
".",
"Dissepiments",
" vary",
" from",
" very",
" fine",
" to",
" quite",
" robust",
" and",
" it",
" is",
"\nlikely",
" that",
" some",
" involve",
" transfer",
" of",
" the",
" thecal",
" tubes",
" from",
"\none",
" stipe",
" to",
" the",
" next",
".",
"The",
" spacing",
" is",
" also",
" variable",
" but",
" in",
" the",
"\nrange",
" 8",
"–",
"13",
" in",
" 10",
" mm",
".",
"One",
" specimen",
",",
" AM",
" F114645",
",",
" has",
"\ndissepiments",
" spaced",
" as",
" high",
" as",
" 12",
"–",
"13",
" in",
" 10",
" mm",
" in",
" places",
".",
"Remarks",
" .",
" The",
" only",
" difference",
" between",
" our",
" material",
" and",
"\nthe",
" Czech",
" types",
" is",
" that",
" the",
" types",
" have",
" a",
" higher",
" dissepi",
"-",
"\nmental",
" spacing",
" (",
"15",
"–",
"16",
" in",
" 10",
" mm",
" given",
" by",
" Bou",
" (cid:1)",
" ek",
",",
" 1957",
")",
";",
"\nhis",
" figures",
" 27a",
" and",
" 27c",
" have",
" much",
" lower",
" dissepimental",
"\nspacing",
" than",
" given",
" in",
" his",
" text",
" (",
"actually",
" 5",
"–",
"6",
" in",
" 10",
" mm",
")",
".",
"Family",
" Stelechocladiidae",
" Chapman",
" et",
" al",
" .",
",",
" 1993",
"Stelechocladia",
" Po",
" (cid:1)(cid:1)(cid:1)(cid:1)(cid:1)",
" ta",
",",
" 1894",
"Type",
" species",
" .",
" Stelechocladia",
" subfruticosa",
" Po",
" (cid:1)",
" ta",
",",
" 1894",
",",
"\nsubsequently",
" designated",
" by",
" Bou",
" (cid:1)",
" ek",
" (",
"1957",
")",
".",
"Stelechocladia",
" praeattenuata",
" n",
".",
"sp",
".",
"Figs",
".",
" 17B",
",",
" 19A",
",",
"B",
"Material",
" .",
" H",
" OLOTYPE",
" AM",
" F114743a",
"-",
"b",
",",
" from",
" BF28",
",",
" W",
"\ntributary",
" of",
" Bridge",
" Creek",
".",
"P",
" ARATYPES",
" AM",
" F114765",
" from",
"\nBF14",
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" Bridge",
" Creek",
";",
" AM",
" F114781",
" from",
" F14",
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" Creek",
";",
"\nAM",
" F114782a",
"-",
"b",
" from",
" BF18",
";",
" AM",
" F114783",
" from",
" F19",
",",
" Four",
"\nMile",
" Creek",
";",
" and",
" AM",
" F114784",
" from",
" BF18",
".",
"Derivation",
" of",
" name",
" .",
" To",
" reflect",
" its",
" earlier",
" occurrence",
" than",
"\nthe",
" most",
" similar",
" species",
",",
" Stelechocladia",
" attenuata",
" Bou",
" (cid:1)",
" ek",
",",
"\n1957",
".",
"Diagnosis",
" .",
" Robust",
" Stelechocladia",
" with",
" dominant",
" main",
"\nstipes"
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[
"checked",
" on",
" February",
" 28",
",",
" 2011",
"1",
".",
" An",
" overview",
" of",
" the",
" design",
" approaches",
" and",
" guidelines",
" that",
" can",
" be",
" used",
" to",
"\ndesign",
" a",
" business",
" process",
" architecture",
";",
" and",
"2",
".",
" A",
" comparison",
" of",
" the",
" use",
" and",
" usefulness",
" of",
" these",
" design",
" approaches",
" in",
" prac",
"-",
"\ntice",
".",
"As",
" can",
" be",
" noted",
",",
" the",
" former",
" contribution",
" is",
" of",
" a",
" conceptual",
" nature",
",",
" while",
" the",
"\nlatter",
" is",
" empirical",
".",
"Both",
" serve",
" the",
" purpose",
" of",
" simplifying",
" the",
" design",
" of",
" a",
" busi",
"-",
"\nness",
" process",
" architecture",
" in",
" real",
"-",
"life",
" situations",
".",
"After",
" all",
",",
" if",
" business",
" users",
" better",
"\nunderstand",
" the",
" differences",
" between",
" the",
" existing",
" approaches",
" they",
" will",
" be",
" able",
" to",
"\nmake",
" a",
" better",
" choice",
" of",
" what",
" approach",
" to",
" follow",
";",
" the",
" uptake",
" of",
" approaches",
" in",
"\npractice",
" may",
" be",
" further",
" used",
" to",
" support",
" such",
" a",
" decision",
".",
"The",
" overview",
" of",
" the",
" design",
" approaches",
" is",
" based",
" on",
" a",
" structured",
" review",
" of",
" the",
"\nexisting",
" literature",
".",
"The",
" use",
" and",
" usefulness",
" of",
" the",
" different",
" design",
" approaches",
" in",
"\npractice",
" has",
" been",
" investigated",
" in",
" a",
" workshop",
" session",
" with",
" 39",
" practitioners",
" who",
"\nare",
" active",
" in",
" the",
" area",
" of",
" Business",
" Process",
" Management",
".",
"During",
" this",
" session",
" we",
"\npresented",
" the",
" approaches",
",",
" conducted",
" a",
" survey",
",",
" and",
" asked",
" the",
" practitioners",
" about",
"\ntheir",
" experiences",
" with",
" the",
" various",
" approaches",
".",
"The",
" remainder",
" of",
" this",
" paper",
" is",
" structured",
" as",
" follows",
".",
"Section",
" 2",
" presents",
" a",
"\nprecise",
" description",
" of",
" what",
" a",
" business",
" process",
" architecture",
" is",
".",
"Section",
" 3",
" presents",
"\nand",
" compares",
" the",
" approaches",
" to",
" designing",
" a",
" business",
" process",
" architecture",
",",
" as",
"\nidentified",
" through",
" our",
" literature",
" study",
".",
"Section",
" 4",
" presents",
" the",
" evaluation",
" of",
" the",
"\nuse",
" and",
" usefulness",
" of",
" the",
" approaches",
".",
"Finally",
",",
" Section",
" 5",
" presents",
" the",
" related",
" work",
"\nand",
" Section",
" 6",
" the",
" conclusions",
" of",
" this",
" paper",
".",
"2",
"\nBusiness",
" Process",
" Architecture",
"We",
" define",
" a",
" business",
" process",
" architecture",
" as",
" an",
" organized",
" overview",
" of",
" business",
"\nprocesses",
" with",
" their",
" relations",
" and",
" guidelines",
" that",
" determine",
" how",
" they",
" must",
" be",
"\norganized",
".",
"Having",
" a",
" business",
" process",
" architecture",
" in",
" place",
",",
" the",
" business",
" processes",
"\nthemselves",
" can",
" then",
" be",
" modeled",
" in",
" a",
" different",
" stage",
" of",
" the",
" Business",
" Process",
"\nManagement",
" life",
" cycle",
".",
"Figure",
" 1",
" shows",
" an",
" example",
" of",
" a",
" business",
" process",
" architecture",
" in",
" the",
" Archi",
"-",
"\nMate",
" notation",
" [",
"6",
"]",
".",
"The",
" figure",
" shows",
" a",
" collection",
" of",
" business",
" processes",
",",
" represented",
"\nby",
" the",
" rounded",
" rectangles",
" with",
" the",
" arrow",
" icon",
",",
" as",
" well",
" as",
" different",
" relations",
" that",
"\ncan",
" exist",
" between",
" these",
" business",
" processes",
".",
"There",
" is",
" no",
" consensus",
" about",
" all",
" the",
" possible",
" relations",
" that",
" can",
" exist",
" between",
"\nbusiness",
" processes",
".",
"However",
",",
" the",
" following",
" types",
" of",
" relations",
" are",
" frequently",
" used",
"\nthroughout",
" the",
" literature",
".",
"The",
" decomposition",
" relation",
" expresses",
" that",
" a",
" process",
" is",
"\ndecomposed",
" into",
" multiple",
" subprocesses",
".",
"In",
" Figure",
" 1",
" this",
" relation",
" is",
" represented",
"\nby",
" the",
" graphical",
" containment",
" of",
" subprocesses",
" within",
" the",
" parent",
" process",
".",
"The",
" spe",
"-",
"\ncialization",
" relation",
" expresses",
" that",
" one",
" process",
" is",
" a",
" specialized",
" version",
" of",
" another",
".",
"In",
" Figure",
" 1",
",",
" this",
" relation",
" is",
" represented",
" by",
" an",
" arrow",
" with",
" an",
" open",
" arrowhead",
".",
"The",
" trigger",
" relation",
" expresses",
" that",
" the",
" execution",
" of",
" one",
" process",
" can",
" trigger",
" the",
"\nexecution",
" of",
" another"
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[
"to",
" the",
" left",
" when",
" it",
" rotates",
" clockwise",
" and",
" to",
" the",
" right",
" when",
"\nit",
" rotates",
" counterclockwise",
".",
"This",
" process",
" would",
" converge",
" on",
" a",
" path",
" where",
" the",
"\nstatue",
" does",
" not",
" rotate",
" at",
" all",
",",
" not",
" just",
" one",
" where",
" the",
" final",
" net",
" rotation",
" is",
" zero",
".",
"One",
" final",
" aside",
".",
"Following",
" the",
" direction",
" of",
" negative",
" derivative",
" to",
" a",
" minimum",
"\nwhere",
" the",
" derivative",
" is",
" zero",
" should",
" be",
" familiar",
" from",
" single",
" and",
" multivariable",
"\ncalculus",
".",
"This",
" argument",
" is",
" just",
" one",
" more",
" example",
" of",
" the",
" familiar",
" principle",
"\nthat",
" the",
" minimum",
" of",
" a",
" well",
"-",
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" function",
" occurs",
" where",
" the",
" derivative",
" is",
"\nzero",
",",
" except",
" with",
" one",
" difference",
".",
"You",
" are",
" familiar",
" with",
" the",
" principle",
" when",
" the",
"\nfunction",
" depends",
" on",
" one",
" variable",
",",
" and",
" if",
" you",
" know",
" multivariable",
" calculus",
" when",
"\nit",
" depends",
" on",
" two",
",",
" or",
" three",
",",
" or",
" many",
" variables",
".",
"Here",
" the",
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" (",
"the",
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" path",
")",
",",
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" on",
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" point",
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" the",
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".",
"Since",
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" infinitely",
" many",
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" points",
",",
" one",
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" it",
" depends",
" on",
" infinitely",
" many",
" variables",
".",
"To",
" do",
"\nthis",
" honestly",
",",
" you",
" need",
" to",
" learn",
" functional",
" analysis",
".",
"4",
"\nExploring",
" the",
" Earth",
" I",
"A",
" sphere",
" is",
" one",
" simple",
" and",
" interesting",
" example",
" of",
" a",
" curved",
" surface",
".",
"Suppose",
" that",
"\nSPC",
" travels",
" along",
" the",
" equator",
" of",
" the",
" earth",
".",
"This",
" path",
" is",
" completely",
" unchanged",
"\nby",
" replacing",
" the",
" sphere",
" with",
" its",
" mirror",
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" around",
" the",
" equator",
",",
" so",
" the",
" left",
" and",
"\nright",
" wheel",
" travel",
" the",
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" and",
" the",
" statue",
" does",
" not",
" rotate",
".",
"The",
" equator",
"\nis",
" a",
" geodesic",
"!",
"By",
" the",
" same",
" reasoning",
",",
" any",
" circle",
" which",
" cuts",
" the",
" sphere",
" into",
" two",
"\nidentical",
" halves",
" is",
" a",
" geodesic",
",",
" as",
" in",
" Figure",
" 5",
".",
"Such",
" circles",
",",
" whose",
" centers",
" coincide",
"\nwith",
" the",
" center",
" of",
" the",
" sphere",
",",
" are",
" called",
" “great",
" circles",
".",
"”",
"Airplane",
" pilots",
" know",
"\nthis",
" –",
" when",
" they",
" travel",
" between",
" two",
" points",
" far",
" apart",
" on",
" the",
" earth",
",",
" they",
" plot",
"\na",
" path",
" that",
" follows",
" the",
" great",
" circle",
" connecting",
" them",
" (",
"again",
" the",
" analogy",
" with",
"\nstraight",
" lines",
",",
" and",
" Euclid’s",
" remarkable",
" prescience",
",",
" are",
" affirmed",
":",
" Two",
" points",
"\ngenerally",
" determine",
" a",
" great",
" circle",
"!",
")",
",",
" because",
" they",
" know",
" that",
" this",
" will",
" be",
" the",
"\nshortest",
" distance",
".",
"However",
",",
" while",
" traveling",
" on",
" a",
" great",
" circle",
" from",
" Moscow",
" to",
"\n6",
"A",
" great",
" circle",
" (",
"geodesic",
")",
"A",
" geodesic",
" minimum",
" and",
" a",
" geodesic",
" saddle",
" point",
"Figure",
" 5",
":",
" Geodesics",
" on",
" the",
" sphere",
" are",
" arcs",
" of",
" great",
" circles",
"Dar",
" es",
" Salaam",
" over",
" the",
" Mediterranean",
" is",
" a",
" geodesic",
" and",
" gives",
" the",
" shortest",
"\npath",
" between",
" these",
" two",
" points",
",",
" traveling",
" the",
" opposite",
" way",
" on",
" the",
" same",
" great",
"\ncircle",
" (",
"similar",
" to",
" the",
" path",
" traveled",
" in",
" red",
" in",
" Figure",
" 5",
")",
" is",
" still",
" a",
" geodesic",
" but",
" is",
"\ndefinitely",
" not",
" the",
" shortest",
" route",
" to",
" Dar",
" es",
" Salaam",
" from",
" Moscow",
",",
" similar",
" to",
" the",
"\nright",
" side",
" of",
" Figure",
" 5",
".",
"Geodesics",
" are",
" not",
" always",
" minima",
" of",
" distance",
".",
"In",
" fact",
",",
"\nsince",
" such",
" nonminimal",
" geodesics",
" can",
" be",
" perturbed",
" in",
" certain",
" directions",
" to",
" make",
"\nthe",
" distance",
" smaller",
" and",
" in",
" certain",
" directions",
" to",
" make",
" the"
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" 6",
".",
"203",
" kcal",
"/",
"mol",
" for",
" the",
" strain",
"\nwith",
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" mutations",
" at",
" S83L",
" and",
" D87N",
" (",
"Fig",
".",
" 4B",
" )",
" .",
"For",
" ofloxacin",
",",
"\nthe",
" binding",
" affinity",
" was",
" 7",
".",
"092",
" kcal",
"/",
"mol",
" in",
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" case",
" of",
" wild",
"-",
"type",
"\nprotein",
";",
" however",
",",
" the",
" affinity",
" reduced",
" to",
" 6",
".",
"934",
" and",
" 6",
".",
"957",
" kcal",
"/",
"\nmol",
" for",
" mutated",
" strains",
" with",
" a",
" single",
" mutation",
" at",
" S83L",
" and",
" double",
"\nmutations",
" at",
" S83L",
" and",
" D87N",
",",
" respectively",
" (",
"Fig",
".",
" 4B",
" )",
" .",
"Docking",
"\nresearch",
" revealed",
" that",
" the",
" displacement",
" of",
" the",
" quinolone",
" binding",
"\nsites",
" in",
" a",
" mutated",
" protein",
" complex",
" brings",
" about",
" lower",
" binding",
"\nenergy",
" than",
" the",
" wild",
" one",
".",
"The",
" reduced",
" affinity",
" could",
" cause",
" the",
"\nhigh",
" resistance",
" patterns",
" displayed",
" in",
" this",
" study",
".",
"The",
" comparative",
" binding",
" energy",
" for",
" ciprofloxacin",
" and",
"\nofloxacin",
" to",
" wild",
"-",
"type",
" gyrase",
" and",
" mutant",
" gyrase",
" are",
" shown",
" in",
"\nFigure",
" 4",
".",
"Figure",
" 4",
" A",
" shows",
" the",
" binding",
" energy",
" of",
" ciprofloxacin",
" and",
"\nofloxacin",
" for",
" the",
" wild",
"-",
"type",
" gyrase",
" protein",
" complex",
" and",
" double",
"-",
"\nmutation",
" (",
"S83L",
" and",
" D87N",
")",
" gyrase",
" proteins",
" of",
" E",
".",
" coli",
" .",
"Figure",
"\n4",
" B",
" shows",
" the",
" adhesive",
" strengths",
" of",
" ciprofloxacin",
" and",
" ofloxacin",
"\nfor",
" both",
" single",
"-",
" (",
"S83L",
")",
" and",
" double",
"-",
"mutation",
" (",
"S83L",
" and",
" D87N",
")",
"\ngyrase",
" proteins",
" K",
".",
" pneumoniae",
" when",
" compared",
" with",
" that",
" wild",
"\ntype",
".",
"For",
" all",
" cases",
",",
" binding",
" affinity",
" was",
" detected",
" lower",
" in",
" the",
" case",
"\nof",
" mutated",
" gyrase",
" proteins",
".",
"Figure",
" 3",
".",
" TAnalyses",
" of",
" mutations",
" in",
" the",
" gyrA",
" gene",
" within",
" the",
" QRDRs",
".",
"Figure",
" 4",
".",
" The",
" binding",
" energy",
" of",
" quinolones",
" as",
" ligands",
" for",
" docking",
" into",
" gyrase",
" protein",
" within",
" the",
" QRDRs",
".",
"Haque",
" et",
" al",
".",
" /",
" Journal",
" of",
" Applied",
" Pharmaceutical",
" Science",
" 12",
" (",
"04",
")",
";",
" 2022",
":",
" 185",
"-",
"198",
" 192",
"DISCUSSION",
"This",
"\nstudy",
"\ninvestigated",
"\nphenotypic",
"\nquinolone",
"/",
"\nfluoroquinolone",
" susceptibility",
" and",
" carriage",
" of",
" three",
" PMQR",
" genes",
",",
"\nnamely",
" qnrA",
",",
" qnrB",
",",
" and",
" qnrS",
",",
" in",
" UTI",
" bacteria",
" in",
" Bangladesh",
".",
"Furthermore",
",",
" we",
" analyzed",
" the",
" association",
" of",
" mutations",
" in",
" the",
"\nQRDR",
" of",
" the",
" gyrA",
" gene",
" with",
" the",
" acquisition",
" of",
" quinolone",
"\nresistance",
" in",
" some",
" selected",
" UTI",
" pathogens",
".",
"Our",
" results",
" identified",
" UTI",
" bacteria",
" in",
" Bangladesh",
"\nexhibiting",
" a",
" high",
" prevalence",
" of",
" phenotypic",
" resistance",
" to",
" four",
"\ncommonly",
" used",
" quinolone",
" antimicrobials",
".",
"The",
" uropathogens",
"\nshowed",
" higher",
" resistance",
" to",
" lomefloxacin",
" and",
" nalidixic",
" acid",
" than",
"\nciprofloxacin",
" and",
" ofloxacin",
",",
" which",
" is",
" similar",
" to",
" many",
" other",
" studies",
"\nconducted",
" in",
" different",
" countries",
" (",
"Cao",
" et",
" al",
" .",
",",
" 2011",
";",
" Colodner",
" et",
" al",
" .",
",",
"\n2008",
";",
" Kim",
" et",
" al",
" .",
",",
" 2020",
";",
" Lee",
" et",
" al",
" .",
",",
" 2018",
";",
" Santiso",
" et",
" al",
" .",
",",
" 2009",
")",
".",
"Ciprofloxacin",
" was",
" found",
" to",
" be",
" the",
" drug",
" of",
" choice",
" to",
" manage",
"\npatients",
" with",
" UTIs",
" among",
" the",
" four",
" quinolones",
" tested",
",",
" with",
" similar",
"\nfindings",
" reported",
" earlier",
" in",
" India",
","
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[
"t",
" m",
"t",
" s",
" +",
" t",
" m",
"X",
" t",
" =",
" t",
" s",
" +",
"1",
"A",
" i",
" (",
" t",
" )",
"\n(",
"In",
" our",
" simulations",
" we",
" found",
" that",
" for",
" the",
" number",
" of",
" sites",
" and",
" t",
" m",
" used",
" here",
",",
" that",
" the",
"\nresults",
" obtained",
" from",
" averaging",
" over",
" several",
" systems",
" were",
" identical",
" to",
" those",
" obtained",
"from",
" measurements",
" over",
" a",
" single",
" system",
".",
"Hence",
" the",
" results",
" are",
" in",
" the",
" thermodynamic",
"\nlimit",
" and",
" the",
" dependence",
" on",
" the",
" system",
" size",
" vanishes",
".",
"Consequently",
" the",
" results",
" pre",
"-",
"\nsented",
" here",
" are",
" from",
" an",
" average",
" over",
" a",
" single",
" system",
" of",
" size",
" 2",
" ×",
" 10",
" 5",
" spins",
".",
"In",
" Fig",
".",
"(",
"1",
")",
",",
"\nwe",
" compare",
" the",
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" of",
" the",
" energy",
" c",
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",",
" as",
" a",
"\nfunction",
" of",
" E",
" ,",
" against",
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" obtained",
" from",
" the",
" simulations",
",",
" the",
" agreement",
" is",
" very",
" good",
".",
"For",
" small",
" values",
" of",
" p",
" the",
" error",
" bars",
" in",
" our",
" measurements",
" are",
" very",
" small",
" and",
" the",
" agree",
"-",
"\nment",
" with",
" Eq",
".",
" (",
"10",
")",
" is",
" excellent",
".",
"For",
" larger",
" values",
" of",
" p",
" the",
" error",
" bars",
" are",
" large",
" as",
" the",
"\nstatistical",
" fluctuations",
" are",
" larger",
",",
" however",
" from",
" fig",
".",
"(",
"1",
")",
" we",
" see",
" that",
" the",
" value",
" given",
" by",
"\nEq",
".",
" (",
"10",
")",
" is",
" within",
" the",
" error",
" bars",
".",
"The",
" distribution",
" P",
" (",
" r",
" )",
" of",
" domain",
" sizes",
",",
" is",
" shown",
" in",
"\nfig",
".",
"(",
"2",
")",
" and",
" has",
" a",
" perfect",
" exponential",
" decay",
" for",
" r",
" ≥",
" 2",
".",
"This",
" guarantees",
" that",
" the",
" result",
"\nEq",
".",
" (",
"21",
")",
" is",
" in",
" perfect",
" agreement",
" with",
" the",
" simulations",
" (",
"as",
" the",
" energy",
" E",
" is",
" fixed",
")",
" as",
"\nshown",
" in",
" Fig",
".",
" (",
"3",
")",
".",
"The",
" correlation",
" functions",
" such",
" C",
" (",
" r",
" )",
" and",
" D",
" (",
" r",
" )",
" have",
" also",
" been",
" computed",
" numerically",
".",
"In",
" Fig",
".",
"(",
"4",
")",
" we",
" have",
" plotted",
" the",
" results",
" in",
" comparison",
" with",
" those",
" expected",
" from",
" Eqs",
".",
"\n(",
"14",
")",
" and",
" (",
"17",
")",
".",
"Here",
" again",
",",
" the",
" comparison",
" is",
" excellent",
" (",
"remark",
" that",
" the",
" agreement",
"\nis",
" better",
" for",
" low",
" energies",
",",
" as",
" again",
" the",
" statistical",
" fluctuations",
" due",
" to",
" the",
" tapping",
" are",
"\nmuch",
" smaller",
" for",
" low",
" p",
" than",
" for",
" high",
" p",
" )",
".",
"Conclusion",
"We",
" have",
" simulated",
" numerically",
" tapping",
" dynamics",
" on",
" a",
" one",
" dimensional",
" system",
" and",
"\nmeasured",
" fluctuations",
" of",
" the",
" energy",
",",
" correlation",
" functions",
" and",
" distributions",
" of",
" domain",
"\nsizes",
".",
"The",
" values",
" of",
" these",
" quantities",
" expected",
" from",
" a",
" thermodynamics",
" built",
" by",
" using",
"\na",
" flat",
" measure",
" over",
" blocked",
" configurations",
" agrees",
" very",
" well",
" with",
" our",
" simulation",
" data",
".",
"The",
" use",
" of",
" the",
" flat",
" measure",
" therefore",
" allows",
" one",
" to",
" accurately",
" predict",
" the",
" two",
" point",
"\ncorrelation",
" function",
",",
" a",
" particular",
" four",
" point",
" function",
" D",
" (",
" r",
" )",
" and",
" also",
" a",
" hierarchy",
" of",
" n",
"\npoint",
" functions",
" (",
"see",
" Eq",
".",
" (",
"19",
")",
")",
" corresponding",
" to",
" the",
" distribution",
" of",
" domain",
" sizes",
" P",
" (",
" r",
" )",
".",
"In",
" principal",
" further",
" quantities",
" could",
" be",
" investigated",
" but",
" the",
" numerical",
" study",
" would",
" be",
"\nhampered",
" by",
" statistical",
" fluctuations",
".",
"The",
" important",
" point",
" here",
" is",
" that",
" the",
" principal",
"\nquantities",
" open",
" to",
" experimental",
" determination"
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[
"Role",
" of",
" Ursodeoxycholic",
" Acid",
" in",
" Digestive",
" Diseases",
"www",
".",
"slm",
"-",
"gastroenterology",
".",
"com",
"AGH",
" 2011",
";",
" 2",
":",
"(",
"1",
")",
".",
" March",
" 2011",
"with",
" maternal",
" use",
" of",
" UDCA",
",",
" but",
" no",
" study",
" has",
" been",
" powered",
"\nto",
" detect",
" such",
" events",
".",
" 51",
"Patients",
" on",
" long",
"-",
"term",
" total",
" parenteral",
" nutrition",
" (",
"TPN",
")",
" are",
" at",
"\nrisk",
" for",
" hepatobiliary",
" complications",
" including",
" cholesta",
"-",
"\nsis",
".",
" 52",
",",
"53",
"A",
" study",
" of",
" nine",
" patients",
" with",
" cholestasis",
" due",
" to",
"\nTPN",
" who",
" were",
" treated",
" with",
" UDCA",
" at",
" 10",
".",
"6",
" (cid:2)",
" 12",
" mg",
"/",
"kg",
"/",
"day",
"\nshowed",
" a",
" significant",
" reduction",
" in",
" gamma",
"-",
"glutamyltransferase",
"\n(",
"GGT",
")",
" and",
" ALT",
" during",
" treatment",
" periods",
" compared",
" to",
"\nnontreatment",
" periods",
".",
"There",
" was",
" no",
" significant",
" difference",
"\nin",
" bilirubin",
",",
" AST",
",",
" or",
" alkaline",
" phosphatase",
".",
" 54",
"Three",
" small",
"\nretrospective",
" studies",
" examining",
" UDCA",
" in",
" pediatric",
" popula",
"-",
"\ntions",
" receiving",
" TPN",
" showed",
" improvements",
" in",
" liver",
" biochem",
"-",
"\nistries",
" as",
" well",
".",
" 55",
" (cid:2)",
" 57",
"There",
" is",
" no",
" evidence",
" regarding",
" the",
" use",
" of",
" UDCA",
" in",
" the",
"\ntreatment",
" of",
" hepatotoxic",
" drug",
" reactions",
".",
"However",
",",
" given",
" the",
"\nbenefit",
" of",
" UDCA",
" in",
" other",
" cholestatic",
" diseases",
",",
" it",
" is",
" a",
"\nreasonable",
" assumption",
" that",
" UDCA",
" may",
" be",
" of",
" benefit",
" in",
"\ncholestatic",
" drug",
" hepatotoxicity",
" with",
" minimal",
" risk",
" to",
" the",
"\npatient",
".",
"A",
" dose",
" of",
" 13",
" (cid:2)",
" 15",
" mg",
"/",
"kg",
"/",
"day",
" has",
" been",
" suggested",
".",
" 58",
"BONE",
" MARROW",
" TRANSPLANTATION",
"Various",
" hepatic",
" complications",
" are",
" associated",
" with",
" hemato",
"-",
"\npoietic",
" cell",
" transplantation",
" including",
" veno",
"-",
"occlusive",
" disease",
",",
"\nhepatic",
"\ngraft",
"-",
"versus",
"-",
"host",
"\ndisease",
"\n(",
"GVHD",
")",
",",
"\nand",
"\nliver",
"\nfailure",
".",
" 59",
",",
"60",
"A",
" prospective",
" randomized",
" trial",
" examining",
" pre",
"-",
"\nvention",
" of",
" hepatic",
" complications",
" after",
" allogeneic",
" stem",
" cell",
"\ntransplantation",
" suggests",
" a",
" role",
" for",
" UDCA",
".",
"Patients",
" received",
"\neither",
" UDCA",
" or",
" placebo",
" from",
" the",
" day",
" preceding",
" conditioning",
"\nuntil",
" day",
" 90",
" after",
" transplantation",
".",
"The",
" UDCA",
" group",
" had",
"\nsignificantly",
" lower",
" serum",
" bilirubin",
" and",
" ALT",
" levels",
",",
" a",
" sig",
"-",
"\nnificantly",
" lower",
" incidence",
" of",
" grade",
" III",
" or",
" IV",
" acute",
" GVHD",
",",
" and",
"\nimproved",
" overall",
" survival",
" at",
" 1",
" year",
" (",
"71",
" vs",
" 55",
"%",
")",
".",
"There",
" was",
" no",
"\ndifference",
" in",
" the",
" incidence",
" of",
" veno",
"-",
"occlusive",
" disease",
".",
" 61",
"A",
" small",
" study",
" examined",
" the",
" use",
" of",
" UDCA",
" for",
" the",
" treatment",
"\nof",
" hepatic",
" GVHD",
".",
"Twelve",
" allogeneic",
" bone",
" marrow",
" transplant",
"\npatients",
" received",
" 6",
" to",
" 12",
" weeks",
" of",
" UDCA",
" for",
" treatment",
" of",
"\nrefractory",
" GVHD",
".",
"Results",
" showed",
" improvement",
" in",
" AST",
",",
"\nbilirubin",
",",
" and",
" alkaline",
" phosphatase",
" with",
" approximately",
" a",
"\none",
"-",
"third",
" decline",
" in",
" each",
".",
"However",
",",
" there",
" is",
" no",
" evidence",
" for",
"\nlong",
"-",
"term",
" use",
".",
" 62",
"VIRAL",
" HEPATITIS",
"Ursodeoxycholic",
" acid",
" has",
" been",
" associated",
" with",
" improved",
"\nserum",
" transaminases",
" in",
" patients",
" with",
" chronic",
" hepatitis",
" C",
"\ndespite",
" having",
" no",
" influence",
" on",
" the",
" viral",
" load",
".",
"The",
" mechanism",
"\nlikely",
" involves",
" the",
" cytoprotective",
" effect",
" of",
" UDCA",
".",
" 63",
"A",
" trial",
" in",
"\n1994",
" demonstrated",
" that",
" UDCA",
" at",
" a",
" dose",
" of",
" 600",
" or",
" 900",
" mg",
"/",
"day",
"\nfor",
" 16",
" weeks",
" was",
" associated",
" with",
" a",
" 26",
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" i",
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"j",
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" ˆ",
" c",
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" our",
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".",
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"We",
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"-",
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" in",
" the",
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"In",
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"-",
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"\nto",
" be",
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" =",
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"It",
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".",
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" and",
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" :",
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" first",
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"\nh",
" ˆ",
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" a"
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[
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" are",
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[
"the",
" relative",
"\ndelay",
" time",
" among",
" the",
" starting",
" times",
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" the",
" eight",
"-",
"channel",
" R",
"-",
"\nF",
" pulse",
" sequences",
" should",
" be",
" as",
" short",
" as",
" possible",
".",
"Taking",
" the",
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" time",
" of",
" one",
" channel",
" RF",
" pulse",
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" as",
" the",
" refer",
"-",
"\nence",
",",
" the",
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" of",
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" channel",
" RF",
" pulse",
" sequences",
" are",
"\nmeasured",
" by",
" the",
" oscilloscope",
".",
"The",
" result",
" shows",
" that",
" the",
" max",
"-",
"\nimum",
" relative",
" delay",
" time",
" is",
" 3",
" ns",
",",
" which",
" is",
" sufficient",
" for",
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".",
"After",
" the",
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" sequences",
" being",
" started",
",",
" the",
" ability",
" to",
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" and",
"/",
"or",
" frequency",
" of",
" an",
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" sig",
"-",
"\nnal",
" is",
" of",
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" importance",
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",",
" especially",
" when",
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" pulse",
" duration",
" is",
" in",
" the",
" time",
" scale",
" of",
" a",
" few",
" micro",
"-",
"\nseconds",
".",
"In",
" our",
" work",
",",
" the",
" delay",
" of",
" the",
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" and",
"/",
"or",
" ampli",
"-",
"\ntude",
" changing",
" is",
" constituted",
" of",
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" time",
" of",
" the",
"\nPROFILE",
" [",
"2",
":",
"0",
"]",
" pins",
" of",
" the",
" DDS",
" chip",
" and",
" the",
" pipeline",
" delay",
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" the",
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" and",
"/",
"or",
" amplitude",
" value",
" changes",
"\nand",
" when",
" it",
" appears",
" on",
" the",
" output",
".",
"Due",
" to",
" the",
" fact",
" that",
" control",
"\nparameters",
" of",
" the",
" RF",
" pulse",
" sequence",
" have",
" been",
" loaded",
" into",
" the",
"\ninternal",
" register",
" of",
" the",
" AD9910",
" before",
" the",
" execution",
" of",
" the",
" R",
"-",
"\nF",
" pulse",
" sequence",
",",
" there",
" is",
" no",
" delay",
" for",
" FPGA",
" to",
" reprogram",
"\nthe",
" AD9910",
" via",
" the",
" serial",
" I",
"/",
"O",
" port",
" after",
" the",
" pulse",
" sequence",
"\ngeneration",
" starting",
".",
"Figure",
" 7",
" (",
"a",
")",
" shows",
" the",
" RF",
" signal",
" frequen",
"-",
"\ncy",
" changes",
" from",
" 30",
" MHz",
" to",
" 80",
" MHz",
".",
"Figure",
" 7",
" (",
"b",
")",
" illustrates",
"\nthe",
" amplitude",
" changes",
" from",
" half",
" to",
" full",
" V",
" peak",
" −",
" to",
" −",
" peak",
" .",
"The",
"\ndelay",
" time",
" of",
" frequency",
" switching",
" is",
" quantitatively",
" given",
" by",
"\nmeasuring",
" the",
" rise",
" time",
" of",
" the",
" light",
" signal",
".",
"Fig",
".",
" 7",
" (",
"c",
")",
" shows",
"\nthe",
" three",
"-",
"dimensional",
" cooling",
" light",
" pulse",
" sequence",
" generated",
"\nby",
" the",
" three",
"-",
"dimensional",
" cooling",
" RF",
" pulse",
" sequence",
" as",
" given",
"FIG",
".",
" 6",
":",
" Switched",
" or",
"/",
"and",
" swept",
" RF",
" pulse",
" sequences",
" for",
" generating",
" the",
" two",
"-",
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" cooling",
",",
" three",
"-",
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" cooling",
",",
"\nrepumping",
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" Raman",
",",
" blow",
" away",
" light",
" pulse",
" sequences",
" in",
" a",
" typical",
" cold",
" atomic",
" gyroscope",
".",
"0",
"\n50",
" 100",
" 150",
" 200",
" 250",
" 300",
" 350",
" 400",
" 450",
" 500",
" Time",
" (",
"ns",
")",
" -",
"0",
".",
"6",
"\n-",
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".",
"4",
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"0",
".",
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"\n0",
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" m",
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"\n20",
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" 100",
" 120",
" 140",
" 160",
" 180",
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" Time",
" (",
"ns",
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"0",
".",
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[
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" average",
" contact",
"\npressure",
" to",
" estimate",
" contact",
" patches",
".",
"Define",
" the",
" inward",
"\nnormal",
" contact",
" pressure",
" vector",
" p",
" ∈",
" R",
" |",
" M",
" |",
" as",
"\np",
" i",
" =",
" −",
" (",
" n",
" i",
" )",
" T",
" ·",
" (",
" P",
" contact",
" )",
" i",
"\n(",
"17",
")",
"Vertex",
" v",
" on",
" the",
" deformed",
" bubble",
" is",
" considered",
" in",
" contact",
" if",
"\np",
" v",
" >",
" thresh",
" (",
" p",
" )",
" =",
" max",
"\n(cid:18)",
"\nk",
" const",
" ,",
" k",
" linear",
" a",
" T",
" p",
" ∥",
" a",
" ∥",
"\n1",
"\n(cid:19)",
"\n,",
"\n(",
"18",
")",
"with",
" k",
" const",
" =",
" 2000",
" Pa",
" and",
" k",
" linear",
" =",
" 2",
" ,",
" where",
" a",
" T",
" p",
" /",
" ∥",
" a",
" ∥",
" 1",
" is",
"\nthe",
" average",
" contact",
" pressure",
" across",
" the",
" entire",
" bubble",
".",
"k",
" const",
"\nis",
" tuned",
" to",
" compensate",
" for",
" noise",
" that",
" is",
" present",
" in",
" the",
" model",
"\noutput",
" due",
" to",
" random",
" fluctuations",
" from",
" the",
" sensor",
" readings",
".",
"Fig",
".",
" 4",
":",
" Photo",
" of",
" the",
" experiment",
" setup",
".",
"A",
" Punyo",
" sensor",
" is",
" mounted",
" to",
" a",
" UR5",
" robot",
",",
" with",
" a",
" built",
"-",
"in",
" force",
"-",
"torque",
" sensor",
" on",
" its",
" end",
" effector",
".",
"Indenters",
" are",
"\nmounted",
" to",
" a",
" calibrated",
",",
" fixed",
" location",
".",
"The",
" 5",
" indenters",
" are",
" shown",
" with",
" an",
" EXPO",
" marker",
" for",
" scale",
".",
"The",
" model",
" was",
" calibrated",
" on",
" 5",
" trajectories",
" against",
"\nthe",
" Round",
" indenter",
" and",
" one",
" trajectory",
" against",
" the",
" Point",
" indenter",
",",
" and",
" tested",
" against",
" all",
" five",
" indenters",
" with",
" varying",
" trajectories",
".",
"IV",
".",
" M",
" ODEL",
" C",
" ALIBRATION",
"Calibration",
" of",
" our",
" model",
" involves",
" calibrating",
" the",
" mate",
"-",
"\nrial",
" parameters",
" E",
",",
" ν",
" and",
" the",
" optimization",
" weight",
" matrices",
"\nW",
" f",
" ,",
" W",
" u",
" .",
"To",
" reduce",
" model",
" complexity",
" we",
" set",
" W",
" f",
" and",
" W",
" u",
"\nas",
" diagonal",
" matrices",
".",
"We",
" specify",
" k",
" f",
" and",
" k",
" x",
" as",
" the",
" penalties",
"\non",
" the",
" force",
" and",
" displacement",
" terms",
" respectively",
",",
" and",
" define",
"\n(",
" W",
" f",
" )",
" ii",
" =",
"\n(cid:40)",
" k",
" f",
" |",
" ∂M",
" |",
" |",
" M",
" |",
"\nnode",
" i",
" ∈",
" ∂M",
"\nk",
" f",
"\notherwise",
" ,",
"\n(",
"19",
")",
"\n(",
" W",
" u",
" )",
" ii",
" =",
" k",
" x",
" |",
" M",
" |",
" .",
"\n(",
"20",
")",
"This",
" parametrization",
" ensures",
" that",
" the",
" magnitude",
" of",
" the",
" force",
"\nand",
" displacement",
" penalty",
" terms",
" are",
" invariant",
" to",
" mesh",
" element",
"\nsize",
":",
" To",
" account",
" for",
" the",
" faster",
" growth",
" of",
" surface",
" mesh",
" points",
"\ncompared",
" to",
" boundary",
" points",
" as",
" the",
" mesh",
" becomes",
" more",
"\nrefined",
",",
" the",
" boundary",
" force",
" penalty",
" must",
" decrease",
" to",
" ensure",
"\nthe",
" total",
" force",
" penalty",
" stays",
" constant",
".",
"We",
" also",
" fix",
" the",
" Poisson",
" ratio",
" ν",
" at",
" 0",
".",
"5",
",",
" modeling",
" the",
"\nrubber",
" as",
" incompressible",
".",
"This",
" leaves",
" the",
" model",
" with",
" three",
"\nparameters",
" to",
" calibrate",
":",
" k",
" f",
" ,",
" k",
" u",
" ,",
" and",
" the",
" Young’s",
" modulus",
" E",
" .",
"Indenter",
"\nContactEstimate",
"\nForceField",
"Fig",
".",
" 5",
":",
" Qualitative",
" results",
" of",
" model",
" predictions",
" across",
" different",
" indenters",
" and",
" movement",
" trajectories",
".",
"In",
" contact",
" patch",
" plots",
",",
" the",
" green",
" region",
" represents",
" the",
" ground",
" truth",
" contact",
",",
" while",
" the",
" blue",
" region",
" represents",
" the",
" estimated",
" contact",
" patch",
".",
"The",
" contact",
" trajectory",
" is"
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[
"the",
" stiffness",
"\nof",
" the",
" cell",
" increases",
" with",
" rise",
" in",
" SoC",
" value",
".",
"The",
" results",
" are",
"\nqualitatively",
" validated",
" by",
" [",
"9",
",",
" 17",
"]",
".",
"It",
" is",
" inferred",
" that",
" the",
"\nhardening",
" of",
" anode",
" active",
" material",
" may",
" occur",
" due",
" to",
"\nintercalation",
" of",
" Li",
" +",
" ions",
" between",
" graphite",
" layers",
".",
"We",
" are",
"\nprimarily",
" interested",
" in",
" the",
" mechanical",
" behavior",
" of",
" the",
" cell",
"\nuntil",
" the",
" point",
" of",
" short",
" circuit",
",",
" thus",
" the",
" load",
" –",
" deformation",
"\ncurves",
" are",
" shown",
" up",
" to",
" the",
" point",
" of",
" short",
" circuit",
" failure",
".",
"Fig",
".",
" 6",
":",
" Load",
" vs",
".",
" Deformation",
" behavior",
" for",
" 18650",
" cells",
" under",
" radial",
" compression",
" for",
" SoC",
" 0",
" to",
" 0",
".",
"8",
"The",
" experimental",
" load",
" –",
" deformation",
" data",
" is",
" converted",
"\ninto",
" nominal",
" stress",
" –",
" strain",
" curves",
" from",
" Eqs",
".",
" (",
"1",
" –",
" 4",
")",
".",
"Summary",
"\nof",
" the",
" SoC",
" dependent",
" failure",
" is",
" summarized",
" in",
" Figs",
".",
" (",
"8",
" –",
" 10",
")",
".",
"It",
" can",
" be",
" observed",
" that",
" cells",
" with",
" high",
" SoC",
" failed",
" at",
" smaller",
"\nvalues",
" of",
" strain",
" but",
" larger",
" E",
" cp",
" .",
"Similarly",
",",
" it",
" is",
" observed",
" that",
"\nfailure",
" stress",
" increases",
" with",
" rise",
" in",
" SOC",
".",
"A",
" strong",
" positive",
"\ncorrelation",
" is",
" seen",
" between",
" the",
" max",
" equivalent",
" compression",
"\nmodulus",
" (",
"Ecp",
")",
" and",
" the",
" drop",
" in",
" force",
" and",
" short",
" circuit",
".",
"W",
"\nb",
"\nY",
"\nX",
"\nH",
"\nH",
"\nR",
"\nr",
"\n0",
"\n1",
"\n2",
"\n3",
"\n0",
"\n0",
".",
"1",
"\n0",
".",
"2",
"\n0",
".",
"3",
"\n0",
".",
"4",
"\n0",
".",
"5",
"\nV",
" o",
" l",
" t",
" a",
" g",
" e",
"\n(",
" V",
" )",
"\n-",
"50",
"\n50",
"\n150",
"\n250",
"\n350",
"\n0",
"\n20",
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")",
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" Adolescents",
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"\n181",
"Table",
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".",
" Bivariate",
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"-",
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"(",
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"-",
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"\n2",
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"296",
"*",
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"*",
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"n",
"=",
"167",
")",
"\n37",
" (",
"22",
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")",
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")",
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"=",
"233",
")",
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"45",
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")",
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"the",
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"-",
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" 0",
".",
"01",
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" (cid:2)",
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"0",
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"01",
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".",
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".",
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" EE",
" %",
")",
" of",
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"-",
"soluble",
" proteins",
",",
"\nat",
" 25",
" 8",
" C",
",",
" are",
" depicted",
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" Figure",
" 4",
" (",
"see",
" the",
" Supporting",
" Informa",
"-",
"\ntion",
" for",
" more",
" detailed",
" data",
")",
".",
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"\nthe",
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".",
"0",
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"-",
"\ntial",
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" phase",
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" to",
" 94",
"%",
".",
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" and",
"\n[",
"Ch",
"]",
"[",
"Tricine",
"]",
" or",
" [",
"Ch",
"]"
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[
"by",
" the",
" memory",
" access",
" time",
",",
" which",
"\nis",
" much",
" larger",
" than",
" the",
" clock",
" cycle",
" of",
" processors",
".",
"In",
" contrast",
"\nto",
" the",
" conventional",
" computing",
" systems",
",",
" the",
" LSRDP",
" system",
" is",
"\ncomposed",
" of",
" thousands",
" of",
" floating",
"-",
"point",
" units",
" (",
"FPUs",
")",
",",
" which",
"\nare",
" connected",
" to",
" each",
" other",
" via",
" operand",
" routing",
" networks",
"\n(",
"ORNs",
")",
" as",
" shown",
" in",
" Fig",
".",
" 1",
" [",
"9",
"]",
".",
"Neighboring",
" FPUs",
" can",
" directly",
"\nexchange",
" intermediate",
" data",
",",
" thus",
" memory",
" access",
" rate",
" can",
" be",
"\nconsiderably",
" reduced",
".",
"OurgoalintheLSRDPprojectistoestablishfundamentaltech",
"-",
"\nnologies",
" for",
" realizing",
" a",
" 10",
"-",
"TFLOPs",
"-",
"scale",
" desk",
"-",
"side",
" computing",
"\nsystem",
".",
"In",
" order",
" to",
" achieve",
" this",
" goal",
",",
" we",
" plan",
" to",
" develop",
" SFQ",
"\nFPUs",
" with",
" 4",
"-",
"GFLOPs",
" performance",
",",
" by",
" which",
" 16",
".",
"4",
"-",
"TFLOPs",
"\nperformance",
" can",
" be",
" achieved",
" in",
" the",
" whole",
" system",
" [",
"6",
"]",
".",
"Though",
"\n1051",
"-",
"8223",
" ©",
" 2014",
" IEEE",
".",
"Personal",
" use",
" is",
" permitted",
",",
" but",
" republication",
"/",
"redistribution",
" requires",
" IEEE",
" permission",
".",
"See",
" http",
":",
"/",
"/",
"www",
".",
"ieee",
".",
"org",
"/",
"publications",
"_",
"standards",
"/",
"publications",
"/",
"rights",
"/",
"index",
".",
"html",
" for",
" more",
" information",
".",
"1301106",
"\nIEEE",
" TRANSACTIONS",
" ON",
" APPLIED",
" SUPERCONDUCTIVITY",
",",
" VOL",
".",
" 25",
",",
" NO",
".",
" 3",
",",
" JUNE",
" 2015",
"TABLE",
" I",
" B",
" IT",
" L",
" ENGTHS",
" OF",
" S",
" EVERAL",
" F",
" LOATING",
" -",
"P",
" OINT",
" -",
"N",
" UMBER",
" F",
" ORMATS",
" IN",
" THE",
" IEEE",
" 754",
" S",
" TANDARD",
"advanced",
" CMOS",
" process",
" could",
" accomplish",
" this",
" performance",
" as",
"\nwell",
",",
" densely",
" integrated",
" processors",
" with",
" high",
" switching",
" activity",
"\ngenerate",
" an",
" extremely",
" large",
" amount",
" of",
" heat",
",",
" which",
" makes",
" it",
"\ndifficult",
" to",
" integrate",
" the",
" system",
".",
"Low",
" power",
" dissipation",
" of",
" the",
"\nSFQ",
" circuits",
" is",
" a",
" significant",
" advantage",
" for",
" realizing",
" the",
" LSRDP",
"\nsystem",
".",
"In",
"this",
" paper",
",",
" we",
" will",
" show",
" the",
" design",
" of",
" the",
" SFQ",
" FPUs",
" in",
"\nSection",
" II",
",",
" the",
" implementation",
" and",
" high",
"-",
"speed",
" test",
" results",
" in",
"\nSections",
" III",
" and",
" IV",
",",
" and",
" the",
" performance",
" assessment",
" of",
" the",
"\nFPUs",
" in",
" Section",
" V",
".",
"High",
"-",
"speed",
" operations",
" of",
" single",
"-",
"precision",
"\nfloating",
"-",
"point",
" adders",
" (",
"FPAs",
")",
" and",
" floating",
"-",
"point",
" multipliers",
"\n(",
"FPMs",
")",
" will",
" be",
" demonstrated",
" by",
" on",
"-",
"chip",
" high",
"-",
"speed",
" tests",
".",
"Based",
" on",
" these",
" results",
",",
" perspectives",
" toward",
" very",
" large",
"-",
"scale",
"\nSFQ",
" circuits",
" will",
" be",
" discussed",
".",
"II",
".",
" D",
" ESIGN",
" OF",
" FPUs",
"In",
" this",
" section",
" we",
" will",
" show",
" the",
" design",
" of",
" our",
" SFQ",
" FPUs",
"\nincluding",
" the",
" general",
" algorithm",
" and",
" architecture",
" to",
" calculate",
"\nfloating",
"-",
"point",
" numbers",
".",
"A",
".",
" Floating",
" Point",
" Computing",
"Floating",
"-",
"point",
" numbers",
" are",
" represented",
" by",
" the",
" following",
"\nform",
" in",
" computing",
" systems",
"\n(",
" −",
" 1",
")",
" S",
" ×",
" F",
" ×",
" 2",
" E",
"\n(",
"1",
")",
"\nwhere",
" S",
" stands",
" for",
" a",
" sign",
",",
" F",
" is",
" a",
" significand",
" (",
"fraction",
")",
",",
" and",
" E",
"\nis",
" an",
" exponent",
".",
"Table",
" I",
" lists",
" the",
" bit",
" lengths",
" of",
" several",
" floating",
"-",
"\npoint",
" number",
" formants",
",",
" which",
" are",
" defined",
" by",
" the",
" IEEE",
" 754",
"\nstandard",
".",
"It",
" should",
" be",
" noted",
" that",
" the",
" exponent",
" is",
" represented",
" as",
"\nan",
" unsigned",
" number",
" by",
" adding",
" a",
" fixed",
" bias",
" with",
" the",
" value",
" of",
"\n2",
" ("
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[
"feature",
" selection",
",",
" named",
" AMN",
",",
"\nwas",
" introduced",
" and",
" evaluated",
" in",
" this",
" paper",
".",
"It",
" has",
" two",
" main",
" innovations",
":",
" Attention",
"-",
"based",
" Feature",
"\nSelection",
" (",
"AFS",
")",
" and",
" Attention",
"-",
"based",
" Node",
" Bootstrapping",
" (",
"ANB",
")",
".",
"In",
" AFS",
",",
" Multi",
"-",
"head",
" Attention",
" is",
"\nmodified",
" to",
" select",
" the",
" most",
" relevant",
" features",
" from",
" the",
" original",
" input",
".",
"ANB",
" acts",
" as",
" a",
" bridge",
" between",
"\nAFS",
" and",
" each",
" module",
" of",
" the",
" interpretable",
" Modular",
" Networks",
" by",
" weighing",
" each",
" selected",
" feature",
" with",
"\nits",
" corresponding",
" attention",
" weights",
".",
"The",
" goal",
" of",
" AMN",
" was",
" to",
" improve",
" the",
" model’s",
" predictive",
" performance",
" compared",
" to",
" NAM",
" and",
"\nyet",
" retain",
" interpretability",
".",
"Experiments",
" have",
" shown",
" that",
" AMN",
" not",
" only",
" outperforms",
" NAM",
" on",
" all",
"\nmetrics",
" (",
"and",
" its",
" variation",
" SPAM",
")",
",",
" but",
" it",
" can",
" match",
" the",
" predictive",
" performance",
" of",
" state",
"-",
"of",
"-",
"the",
"-",
"art",
"\nnon",
"-",
"interpretable",
" models",
" LSTM",
" and",
" XGBoost",
",",
" outperforming",
" the",
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"-",
"of",
"-",
"the",
"-",
"art",
" in",
" some",
" cases",
".",
"AFS",
",",
" MFS",
",",
" and",
" TabNet",
" share",
" some",
" similarities",
" with",
" our",
" proposed",
" AMN",
";",
" however",
",",
" AMN",
" is",
" distinct",
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" them",
" because",
" attention",
" weights",
" are",
" learned",
" from",
" a",
" recurrent",
"-",
"based",
" network",
" in",
" AMN",
" so",
" as",
" to",
"\nobtain",
" a",
" prior",
" temporal",
" knowledge",
" and",
" used",
" for",
" feature",
" selection",
",",
" and",
" AMN",
" offers",
" a",
" flexibility",
" in",
"\nusing",
" different",
" variants",
" of",
" recurrent",
"-",
"based",
" networks",
".",
"Lastly",
",",
" we",
" consider",
" AMN",
" to",
" be",
" more",
" closely",
"\nrelated",
" to",
" architectures",
" with",
" modularity",
",",
" such",
" as",
" additive",
" models",
".",
"A",
" common",
" assumption",
" of",
" such",
"\nmodules",
" such",
" as",
" GAM",
" and",
" NAM",
" is",
" feature",
" independence",
".",
"This",
" has",
" been",
" proved",
" to",
" be",
" too",
" strong",
"\nan",
" assumption",
" in",
" certain",
" areas",
" of",
" application",
" such",
" as",
" time",
" series",
",",
" as",
" indicated",
" by",
" the",
" poor",
" predictive",
"\nperformance",
" of",
" such",
" models",
" in",
" the",
" experiments",
" reported",
" in",
" this",
" paper",
".",
"AMN",
" tackles",
" this",
" problem",
" by",
"\nusing",
" AFS",
" for",
" feature",
" selection",
" during",
" training",
".",
"Variations",
" of",
" NAM",
" on",
" the",
" other",
" hand",
",",
" such",
" as",
" SPAM",
",",
"\nseek",
" to",
" tackle",
" the",
" same",
" problem",
" by",
" allowing",
" interaction",
" terms",
".",
"This",
",",
" however",
",",
" may",
" increase",
" the",
"\ncomplexity",
" of",
" the",
" explanations",
" provided",
" for",
" these",
" models",
".",
"As",
" future",
" work",
",",
" we",
" shall",
" evaluate",
" this",
" and",
"\nother",
" trade",
"-",
"offs",
",",
" such",
" as",
" the",
" number",
" of",
" modules",
" to",
" use",
",",
" in",
" practice",
",",
" since",
" it",
" is",
" likely",
" that",
" the",
" answers",
"\nwill",
" depend",
" on",
" the",
" characteristics",
" of",
" the",
" specific",
" application",
" domain",
" and",
" associated",
" expert",
" evaluation",
".",
"Limitations",
" of",
" the",
" results",
" reported",
" in",
" this",
" paper",
" include",
" the",
" lack",
" of",
" experiments",
" using",
" multi",
"-",
"class",
"\ntime",
" series",
" classification",
".",
"In",
" comparison",
" with",
" SPAM",
",",
" a",
" given",
" application",
" may",
" require",
" the",
" use",
" of",
"\nhigher",
"-",
"order",
" feature",
" interaction",
",",
" not",
" available",
" in",
" AMN",
".",
"We",
" shall",
" investigate",
" the",
" possibility",
" of",
" an",
"\nattention",
" mechanism",
" creating",
" such",
" features",
" for",
" implementation",
" into",
" a",
" single",
" network",
" module",
".",
"Finally",
",",
"\nwe",
" shall",
" continue",
" to",
" investigate",
" the",
" practical",
" value",
" of",
" the",
" explanations",
" provided",
",",
" how",
" they",
" may",
"\ninform",
" model",
" intervention",
",",
" and",
" the",
" interactions",
" that",
" may",
" exist",
" between",
" attention",
"-",
"based",
" explanations",
"\nof",
" recurrent",
" networks",
" and",
" interpretable",
" modular",
" networks",
"."
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".",
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" a",
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" viewpoint",
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" of",
"\nthrough",
" formal",
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" or",
" degrees",
".",
"According",
" to",
" the",
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" Management",
" &",
" Student",
" Affairs",
" unit",
" of",
" University",
" Pointe",
" (",
"2012",
")",
",",
" student",
" leaders",
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".",
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".",
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".",
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" carried",
" out",
" by",
" the",
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" of",
" Institutional",
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" (",
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" lasting",
" impact",
" and",
" was",
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" factor",
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" to",
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"-",
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" al",
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" (",
"DR",
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".",
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" H",
".",
"264",
"/",
"AVC",
" IME",
",",
"\nseveral",
" hardware",
" architectures",
" have",
" been",
" proposed",
" [",
"3",
"]",
" [",
"4",
"]",
" [",
"5",
"]",
",",
"\nbut",
" none",
" of",
" them",
" has",
" low",
" power",
" considerations",
".",
"For",
" previ",
"-",
"\nous",
" standards",
",",
" several",
" low",
" power",
" IMEs",
" architectures",
" [",
"6",
"]",
" [",
"7",
"]",
" [",
"8",
"]",
"\nwith",
" corresponding",
" hardware",
"-",
"oriented",
" fast",
" algorithms",
" were",
" de",
"-",
"\nsigned",
".",
"However",
",",
" the",
" VBS",
",",
" MRF",
",",
" and",
" many",
" other",
" functionalities",
"\nare",
" not",
" involved",
".",
"Besides",
",",
" because",
" of",
" the",
" irregular",
" search",
" pat",
"-",
"\ntern",
" for",
" fast",
" algorithms",
",",
" the",
" power",
" reduction",
" on",
" algorithm",
" level",
"\nusually",
" constrains",
" that",
" on",
" architecture",
" level",
" for",
" poor",
" DR",
".",
"Obvi",
"-",
"\nously",
",",
" the",
" new",
" architecture",
" of",
" low",
" power",
" IME",
" architecture",
" is",
" ur",
"-",
"\ngently",
" demanded",
" in",
" H",
".",
"264",
"/",
"AVC",
" system",
" especially",
" for",
" portable",
"\ndevices",
".",
"Besides",
",",
" the",
" advanced",
" techniques",
" are",
" required",
" to",
" effi",
"-",
"\nciently",
" combine",
" the",
" architecture",
" and",
" fast",
" algorithm",
".",
"In",
" this",
" paper",
",",
" a",
" low",
"-",
"power",
" IME",
" design",
" for",
" H",
".",
"264",
"/",
"AVC",
" is",
" pro",
"-",
"\nposed",
".",
"The",
" rest",
" of",
" this",
" paper",
" is",
" organized",
" as",
" follows",
".",
"In",
" Section",
"\nII",
",",
" the",
" power",
" reduction",
" techniques",
" will",
" be",
" described",
" followed",
"\nby",
" problem",
" definition",
".",
"In",
" Section",
" III",
",",
" the",
" new",
" and",
" advanced",
"\ntechniques",
" are",
" proposed",
" to",
" efficiently",
" reuse",
" data",
",",
" and",
" the",
" low",
"\npower",
" architecture",
" is",
" designed",
"."
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[
"surgery",
")",
"Intervention",
" method",
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" and",
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" centre",
" to",
"\nfootprint",
" centre",
")",
"(cid:1)",
" Conservative",
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" using",
"\n○",
"Surgical",
" repair",
" of",
" the",
" ligament",
" or",
" ○",
"Injectable",
" therapies",
" (",
"e",
".",
"g",
".",
" platelet",
"-",
"rich",
"-",
"plasma",
")",
" ○",
"Rehabilitation",
" or",
" exercise",
" therapy",
"The",
" exclusion",
" criteria",
" for",
" study",
" selection",
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" be",
":",
"(cid:1)",
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" revision",
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" repair",
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" femoral",
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" ○",
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"Ektas",
" et",
" al",
".",
" Journal",
" of",
" Orthopaedic",
" Surgery",
" and",
" Research",
"\n(",
"2019",
")",
" 14",
":",
"88",
"\nPage",
" 2",
" of",
" 7",
"\n○",
"Meniscal",
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"Outcomes",
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"°",
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".",
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" primary",
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" but",
" will",
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" included",
"\nin",
" the",
" analysis",
".",
" The",
" results",
" of",
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"-",
"analyses",
" will",
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" a",
" study",
" in",
" the",
" analysis",
" if",
" they",
" meet",
" the",
"\nremaining",
" inclusion",
" criteria",
".",
" English",
" language",
" papers",
"\nin",
" publication",
" will",
" be",
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",",
" with",
" no",
" restrictions",
"\non",
" publication",
" year",
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" sources",
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" search",
" will",
" be",
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":",
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".",
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":",
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" authors",
" declare",
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" of",
" interest",
".",
"Funding",
":",
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" by",
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" Editore",
" S",
".",
"r",
".",
"l",
".",
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" the",
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".",
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":",
" 20",
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[
"in",
" [",
"11",
"]",
".",
"It",
" should",
"\nalso",
" be",
" noted",
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" in",
" (",
"17",
")",
" indicates",
" that",
" the",
" I",
"/",
"Q",
"\nimbalance",
" be",
" compensated",
" before",
" the",
" frequency",
" offset",
" compen",
"-",
"\nsation",
".",
"Fig",
".",
"3",
" shows",
" the",
" described",
" compensation",
" structure",
" for",
" I",
"/",
"Q",
" im",
"-",
"\nbalance",
" and",
" frequency",
" offset",
".",
"The",
" FIR",
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"\nin",
" the",
" I",
" branch",
"\nis",
" meant",
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" compensating",
" the",
" frequency",
" dependent",
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".",
"The",
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" in",
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" branch",
" is",
" simply",
" a",
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"\nfor",
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"\n.",
"Between",
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" I",
"/",
"Q",
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"/",
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" compensator",
",",
" as",
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" [",
"11",
"]",
".",
"2",
")",
" Optimization",
" of",
" I",
"/",
"Q",
" Compensation",
" Coefficients",
":",
" Once",
"\nthe",
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" the",
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" I",
"/",
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".",
"Notice",
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" (",
"9",
")",
" that",
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" I",
"/",
"Q",
" imbalance",
"\n,",
" the",
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" and",
" the",
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"-",
"\njected",
" rotation",
".",
"This",
" phase",
" rotation",
" is",
" known",
" to",
" the",
" receiver",
" after",
"\nFig",
".",
" 3",
".",
"Proposed",
" compensation",
" structure",
" for",
" I",
"/",
"Q",
" imbalance",
" and",
" frequency",
" offset",
" (",
"thick",
" lines",
" represent",
" complex",
" signal",
")",
".",
"the",
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" has",
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".",
"However",
",",
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"\nof",
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"/",
"Q",
" imbalance",
"\nalters",
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".",
"This",
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"-",
"\ndure",
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"\nand",
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".",
"In",
"\nother",
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",",
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"\nand",
" can",
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"-",
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":",
"\n(",
"18",
")",
"\nwhere",
"\ndenotes",
" the",
" I",
"/",
"Q",
"\ncompensated",
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" and",
"\nrepresents",
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" be",
"-",
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"\n:",
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"\n:",
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"\n(",
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")",
"\nNote",
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" known",
" by",
" simply",
" substituting",
"\nwith",
" its",
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"\nalready",
" obtained",
" in",
" Section",
" III",
"-",
"A",
".",
"According",
" to",
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" structure",
" in",
" Fig",
".",
" 3",
",",
"\nand",
"\nare",
" constructed",
" as",
" follows",
":",
"\n(",
"20",
")",
"\n(",
"21",
")",
"\nDefine",
" the",
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" representations",
":",
"\n.",
".",
".",
"\n.",
" .",
".",
"\n.",
".",
".",
"\n.",
".",
".",
"\n.",
".",
".",
"\n.",
".",
".",
"\n.",
".",
" .",
"\n(",
"22",
")",
"XING",
" et",
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".",
" :",
" FREQUENCY",
" OFFSET",
" AND",
" I",
"/",
"Q",
" IMBALANCE",
" COMPENSATION",
" FOR",
" DIRECT",
"-",
"CONVERSION",
" RECEIVERS",
"\n677",
"\nand",
" use",
" similar",
" notations",
" for",
" the",
" Q",
" channel",
" signal",
" (",
"with",
" sub",
"-",
"\nscript",
" )",
",",
" the",
" I",
"/",
"Q",
" compensation",
" in",
" (",
"20",
")",
" and",
" ("
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" W",
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" Murch",
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" Dan",
" M",
".",
" Stamper",
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",",
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",",
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".",
" 99",
" ,",
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"\n[",
"53",
"]",
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" A",
".",
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",",
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"Swan",
",",
"\nDylan",
" J",
".",
" Young",
",",
" Julia",
" R",
".",
" K",
".",
" Cline",
",",
" Ana",
" Maria",
" Rey",
",",
" and",
"\nJames",
" K",
".",
" Thompson",
",",
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" phase",
" transi",
"-",
"\ntions",
" with",
" cold",
" atoms",
" in",
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" optical",
" cavity",
",",
"”",
" Nature",
" 580",
" ,",
"\n602",
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"607",
" (",
"2020",
")",
".",
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"54",
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" Eliot",
" Bohr",
",",
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" L",
".",
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",",
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",",
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",",
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":",
"2306",
".",
"12544",
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"55",
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" J",
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",",
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",",
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",",
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" H",
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"-",
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"-",
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",",
"”",
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".",
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".",
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".",
" 122",
" ,",
" 010405",
" (",
"2019",
")",
".",
"\n[",
"56",
"]",
" Phatthamon",
" Kongkhambut",
",",
" Jim",
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",",
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",",
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",",
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",",
"”",
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"-",
"\nence",
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" ,",
" 670",
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"673",
" (",
"2022",
")",
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" MATERIAL",
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",",
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Subsets and Splits