id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
709.2435 | Generalized second law in modified theory of gravity | In the context of modified theory of gravity (f(R) gravity) we try to study
the conditions required for validity of the generalized second law.
| gr-qc astro-ph | in the context of modified theory of gravity fr gravity we try to study the conditions required for validity of the generalized second law | [['in', 'the', 'context', 'of', 'modified', 'theory', 'of', 'gravity', 'fr', 'gravity', 'we', 'try', 'to', 'study', 'the', 'conditions', 'required', 'for', 'validity', 'of', 'the', 'generalized', 'second', 'law']] | [-0.12003378520118228, 0.015830770794612665, -0.13143512179764608, 0.15264389167229334, -0.11372969143364269, -0.13030621657768884, -0.011405631768866442, 0.19151179205315808, -0.2051701865469416, -0.3160775477687518, 0.036616958144198485, -0.15905521534538516, -0.1670351019129157, 0.13933221390470862, -0.12792612185391286, 0.05717438723271092, -0.1140038853045553, 0.06350913053999345, -0.09545000028447248, -0.25477915389152866, 0.3792511767436129, 0.11986549855888977, 0.2569245354582866, 0.028503134730271995, 0.04967979795765132, -0.04777066038999086, -0.012439328245818615, 0.09784398429716627, -0.25051195500418544, 0.10892221339357396, 0.1439392342387388, 0.1411143341101706, 0.2899909960106015, -0.4840821834901969, -0.27014729582394165, 0.07477179258906592, 0.04734195303171873, 0.11088923310550551, -0.017133926662305992, -0.2331816634784142, 0.11185628012754023, -0.22109015115226308, -0.22354856242115298, -0.027081443462520838, -0.02176130112881462, -0.024704957390592124, -0.24504671059548855, 0.11408211011439562, 0.05443500104593113, -0.044027010638577245, -0.0885958270325015, 0.003689060996597012, 0.05642942804843187, 0.10653201129753143, 0.11039902976093192, -0.054135617870391194, 0.061711796889236815, -0.16781301408385238, -0.06913910231863458, 0.4751047386477391, -0.16670819961776337, -0.20554578940694532, 0.13817233968681344, -0.19219810740711787, -0.22387049191941819, -0.039388482148448624, 0.16102013201452792, 0.1648899658142303, -0.1611176603473723, 0.14825749641750008, 0.025353963874901336, 0.11484460361922781, 0.09601213755862166, 0.015555186507602533, 0.24644150460759798, 0.0816604799280564, -0.019177408850130934, 0.16912134628122052, -0.06078681341993312, -0.1242791130207479, -0.43712225928902626, -0.18914156965911388, -0.13820183005494377, -0.016068525961600244, -0.1271820412366651, -0.10952373268082738, 0.3880174971030404, 0.21858452074229717, 0.016150009003467858, 0.11153280484722927, 0.20452653678754965, 0.1333414682497581, 0.026184217305853963, -0.006612391676753759, 0.30126753020643565, 0.2067908070360621, 0.11179446256331478, -0.28605307600931457, -0.07292088610120118, 0.14556650968734175] |
709.2436 | A Note on Singular Cardinals in Set Theory Without Choice | We discuss how singular can cardinals be in absence of the axiom of choice.
We show that, contrasting with known negative consistency results (of Gitik and
others), certain positive results are provable. Then we pose some problems.
| math.LO | we discuss how singular can cardinals be in absence of the axiom of choice we show that contrasting with known negative consistency results of gitik and others certain positive results are provable then we pose some problems | [['we', 'discuss', 'how', 'singular', 'can', 'cardinals', 'be', 'in', 'absence', 'of', 'the', 'axiom', 'of', 'choice', 'we', 'show', 'that', 'contrasting', 'with', 'known', 'negative', 'consistency', 'results', 'of', 'gitik', 'and', 'others', 'certain', 'positive', 'results', 'are', 'provable', 'then', 'we', 'pose', 'some', 'problems']] | [-0.15312565752380602, 0.10929498962453894, -0.06009969782285594, 0.11717050077041259, -0.1517047626847351, -0.19405157667760914, 0.012710381903358409, 0.40042159343893463, -0.27932722020793604, -0.2437216028118053, 0.13365005658675186, -0.2990829696677424, -0.20058961494548902, 0.1888065120658359, -0.20354166259435383, 0.03977365810675798, 0.11295112285360291, 0.04072102597235022, -0.07317270354896381, -0.28664902622207394, 0.4005768469257935, -0.04428107651403627, 0.1917712385388645, 0.15128191208114494, 0.07347218611755886, -0.060112673927702615, 0.01007516825621998, 0.14942457013436267, -0.14778114681472732, 0.10414793263692912, 0.2639098583808723, 0.21747757554859729, 0.30236174820645434, -0.3890349827706814, -0.13795905016564033, 0.12587177028841767, 0.08359828563658772, 0.09155198823459246, -0.04953718872589839, -0.28911546773805813, 0.1597537554901194, -0.11677921506752437, -0.17771393098440524, -0.17410717484214017, -0.06359063618740923, 0.08247825671994202, -0.262490745130423, 0.07997288388779035, 0.1698161333396628, 0.03601436659290984, -0.11956666519148024, -0.1587512861005962, 0.015156247955117677, 0.1087472783275754, 0.12180240895297076, -0.07609225190685105, 0.06927197571290103, -0.1368624024546227, -0.18231162198542342, 0.3191860885346761, -0.08401940121139223, -0.22585220181232168, 0.20572445169091225, -0.15418677023184058, -0.20571605309315427, 0.015590980623823565, 0.05100841613838802, 0.10606883541756384, -0.03446537145488971, 0.10382098425022401, -0.14673183069130205, 0.15268443167410992, 0.12924759121410348, 0.06095493095297668, 0.1310907224243557, 0.045936234547077, 0.06324459349019201, 0.15557834637867338, -0.007359927683766629, -0.05655790909470336, -0.3395367448998464, -0.10468457979024262, -0.10869374398041416, 0.06104166765470762, -0.14177721135933394, -0.154315010745179, 0.3381561764792816, 0.24919080665033008, 0.18828388165078452, 0.13771077458639755, 0.22662214713322149, 0.089125245608188, -0.023467110523425445, 0.046132617051134236, 0.22531996565207058, 0.08187685227273284, 0.025467910124240694, -0.15756296908885642, 0.10807158187585506, 0.03834343219578669] |
709.2437 | On Cauchy surfaces in conformally stationary spacetimes | This paper has been withdrawn by the authors because it has been merged with
paper arXiv:0903.3501v1 [math.DG]
| gr-qc math.DG | this paper has been withdrawn by the authors because it has been merged with paper arxiv09033501v1 mathdg | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'because', 'it', 'has', 'been', 'merged', 'with', 'paper', 'arxiv09033501v1', 'mathdg']] | [-0.029607543256133795, -0.016487155691720545, -0.19224902661517262, -0.12260523686563829, -0.15811534435488284, -0.08797323750331998, -0.11817580815113615, 0.40517787728458643, -0.17007693485356867, -0.3511813855729997, 0.1553890355862677, -0.3310900020878762, -0.18741409783251584, 0.04126482142601162, -0.28114996140357107, 0.12129418819677085, 0.06573307467624545, -0.03288822155445814, 0.006202747979841661, -0.3881954699754715, 0.3394393709022552, 0.14355131285265088, 0.25187711883336306, 0.18442204906023107, 0.08131571352714673, -0.09884355828398839, -0.09721089259255677, 0.08169105154229328, -0.16180196357890964, 0.08907125162659213, 0.2638602275401354, 0.06348240570514463, 0.44372876500710845, -0.3818195497151464, -0.2879463406279683, 0.17681553901638836, 0.3016290774103254, 0.1511110016144812, -0.1244182272348553, -0.3421872635371983, 0.23068175333901308, -0.38537175382953137, -0.05781600609770976, -0.019509627942170482, 0.1637486588442698, -0.10756280203349888, -0.04844312253408134, -0.025148896500468254, 0.140244010835886, 0.11783753806957975, 0.06892783398507163, -0.16050981148146093, 0.04743390122894198, 0.1339444819604978, 0.23357557342387736, 0.16013025210122578, -0.08847199170850217, 0.04320692481996957, -0.09772940375842154, 0.33304639952257276, 0.09642488602548838, -0.2024678251473233, 0.1493850750848651, -0.05731777349137701, -0.2266630293452181, 0.11843830533325672, 0.106435122062976, 0.10373757849447429, -0.3256038448307663, 0.2682776958681643, -0.1518293094704859, 0.1201033154502511, 0.22151473199483007, -0.05187480850145221, 0.15414064284414053, 0.1933525718341116, -0.046274315332993865, 0.18654077063547447, -0.04110633791424334, 0.020080036018043756, -0.06900502787902951, -0.17397703480673954, -0.23066390305757523, 0.052842758945189416, 0.30138432001695037, -0.04321225767489523, 0.4113249350339174, 0.17335704062134027, 0.11341541825095192, -0.10623570869211107, 0.31425441527972, 0.192390110976703, 0.1330709659960121, 0.047743386356160045, 0.36646792106330395, 0.13715669444354717, 0.2156520610442385, 0.018433721037581563, 0.2399958169553429, 0.15426082583144307] |
709.2438 | KAON 2007: Conference Summary | A concise overview of the interesting recent developments in kaon phyiscs
discussed at KAON 2007 is presented.
| hep-ph | a concise overview of the interesting recent developments in kaon phyiscs discussed at kaon 2007 is presented | [['a', 'concise', 'overview', 'of', 'the', 'interesting', 'recent', 'developments', 'in', 'kaon', 'phyiscs', 'discussed', 'at', 'kaon', '2007', 'is', 'presented']] | [-0.04353322576293174, 0.20466537707868745, -0.06616910155314733, 0.1411313290009275, -0.1330548477742602, -0.12046539824565544, -0.012816308394950978, 0.2847304041771328, -0.041053284069194514, -0.19036302222486803, 0.03090982310994364, -0.304856654640068, -0.12829621618284898, 0.2226675050880979, -0.058238949407549465, 0.09698597526242819, 0.154923003166914, -0.013873148490400874, -0.11735804017414064, -0.2585223266745315, 0.21299787062932463, 0.15088318704682238, 0.2456992297049831, 0.2302164852838306, 0.06675014381899554, 0.06193080073332086, -0.25775456877754016, -0.05296161091502975, -0.26413746786249037, 0.11726312509135288, 0.3389900019940208, 0.13772555857020266, 0.1543208966305589, -0.3705612294348505, -0.11149749576168902, -0.044882065123494935, 0.08522169317995362, 0.12315301662858795, -0.18651756534681602, -0.34460701136028066, -0.03647922686136821, -0.18347249355386286, -0.15089915002531865, -0.1048223147278323, 0.14016330483205178, 0.01685055356253596, -0.25404806654242906, 0.008438949966255356, 0.0006072623655200005, 0.11007205692722517, 0.05436097819577245, -0.34404748371418786, 0.2015318973811672, -0.034625026370015216, 0.09416929674882661, 0.18489327750113957, 0.09320049656226355, -0.1314375340281164, -0.1538041281130384, 0.3474737922934925, 0.01709238176836687, -0.043853054042248166, 0.15847371135126143, -0.13316337391734123, -0.2622529553139911, 0.11147495529011768, 0.19452433383968823, -0.007214718333938543, -0.22222000239964793, 0.12209519338520135, -0.12062645046492382, 0.06986628604285858, 0.0688905832631623, 0.10712388179758016, 0.27374419317964244, 0.27163584048257156, -0.07289940365316237, 0.10346350029987447, 0.0976294341551907, -0.1281183248057085, -0.4393037018530509, -0.11165380346424439, -0.047111812855719644, 0.02923513253164642, 0.06596516390495441, -0.032531274592175204, 0.4531714477959801, 0.08131108849364169, 0.23756011947989464, -0.10533831768450053, 0.33394864026237936, 0.0035129490253679894, -0.06010888998999315, 0.059505887658280486, 0.29236599627663107, 0.22664343346567714, 0.3199615020524053, -0.17977453924386816, -0.05114837086019928, 0.09197545132380636] |
709.2439 | Soft-photon corrections in multi-body meson decays | The effects due to soft-photon emission (and the related virtual corrections)
in multi-body decays of B, D, and K mesons are analysed. We present analytic
expressions for the universal O(alpha) correction factors which can be applied
to all multi-body decay modes where a tight soft-photon energy cut in the
decaying-particle rest-frame is applied. All-order resummations valid in the
limit of small and large velocities of the final-state particles are also
discussed. The phenomenological implications of these correction factors in the
distortion of Dalitz-plot distributions of K -> 3 pi decays are briefly
analysed.
| hep-ph | the effects due to softphoton emission and the related virtual corrections in multibody decays of b d and k mesons are analysed we present analytic expressions for the universal oalpha correction factors which can be applied to all multibody decay modes where a tight softphoton energy cut in the decayingparticle restframe is applied allorder resummations valid in the limit of small and large velocities of the finalstate particles are also discussed the phenomenological implications of these correction factors in the distortion of dalitzplot distributions of k 3 pi decays are briefly analysed | [['the', 'effects', 'due', 'to', 'softphoton', 'emission', 'and', 'the', 'related', 'virtual', 'corrections', 'in', 'multibody', 'decays', 'of', 'b', 'd', 'and', 'k', 'mesons', 'are', 'analysed', 'we', 'present', 'analytic', 'expressions', 'for', 'the', 'universal', 'oalpha', 'correction', 'factors', 'which', 'can', 'be', 'applied', 'to', 'all', 'multibody', 'decay', 'modes', 'where', 'a', 'tight', 'softphoton', 'energy', 'cut', 'in', 'the', 'decayingparticle', 'restframe', 'is', 'applied', 'allorder', 'resummations', 'valid', 'in', 'the', 'limit', 'of', 'small', 'and', 'large', 'velocities', 'of', 'the', 'finalstate', 'particles', 'are', 'also', 'discussed', 'the', 'phenomenological', 'implications', 'of', 'these', 'correction', 'factors', 'in', 'the', 'distortion', 'of', 'dalitzplot', 'distributions', 'of', 'k', '3', 'pi', 'decays', 'are', 'briefly', 'analysed']] | [-0.114126664090001, 0.20459489951135365, -0.09809828278925883, 0.1742826994920436, -0.014442936988076666, -0.11608092350230276, 0.02797717473643658, 0.3287778704703509, -0.2122384443607918, -0.22842150509029954, -0.007889267561220369, -0.30788656613779264, -0.026542648304622253, 0.1424066637652916, 0.05229051790844936, 0.09008905924421705, 0.054686902868714964, -0.013336582518704645, -0.045184735948178956, -0.20878601053238408, 0.28979115583166315, 0.01903697047996652, 0.1731396248656233, 0.16440540080337407, -0.017246119944112643, 0.014545396753269565, -0.0883317798949205, 0.020954258432918853, -0.15745329134329988, 0.038655095252689425, 0.23231770202087668, 0.07111542230819935, 0.14823124746044913, -0.36422602168110374, -0.11625526703198205, 0.07849946148325126, 0.20813234253008697, 0.10995975667278149, 0.005569159247718014, -0.2857163969816251, 0.07533449961056748, -0.17397522030828091, -0.12614976128583755, -0.1179976511419147, 0.09434256817285831, 0.003116250457753847, -0.3173317580117977, 0.08482591167909789, 0.012510045604258366, 0.02143623663501425, -0.027164964454381595, -0.21858133846423128, 0.03227433604751151, 0.11691832422166244, 0.11982895919776798, 0.040140511288952366, 0.1491572218998284, -0.15232383130773247, -0.10871324378096468, 0.4281578246545006, -0.06718812216774325, -0.18265256857253856, 0.12954900104931177, -0.17695629595686774, -0.1398647481237876, 0.19616815796797418, 0.23083080797312924, 0.1132863208825526, -0.1778229278471362, 0.15302924923713904, 0.04904973283947374, 0.11945711522475704, 0.07455376687633632, 0.08749711562132279, 0.10783687158190942, 0.08285090618940828, -0.08384259067639545, 0.1286036048869981, -0.11034907064922564, -0.07401354424143722, -0.41547150852588505, -0.09140993134824785, -0.09164395557005205, 0.040759256488264915, -0.10500704355817415, -0.12429503101732704, 0.3438184940573442, 0.0767042516643734, 0.2349156899285595, 0.03399532897382524, 0.30318673583423045, 0.14911312602746946, 0.08487384199167367, 0.11200866971553845, 0.3155719044280576, 0.1906743801638975, 0.025752967566374567, -0.2803299015203675, 0.0008828986108630568, 0.04848266731957895] |
709.244 | Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy
Sim(n-2) | The classifications of holonomy groups in Lorentzian and in Euclidean
signature are quite different. A group of interest in Lorentzian signature in n
dimensions is the maximal proper subgroup of the Lorentz group, SIM(n-2).
Ricci-flat metrics with SIM(2) holonomy were constructed by Kerr and Goldberg,
and a single four-dimensional example with a non-zero cosmological constant was
exhibited by Ghanam and Thompson. Here we reduce the problem of finding the
general $n$-dimensional Einstein metric of SIM(n-2) holonomy, with and without
a cosmological constant, to solving a set linear generalised Laplace and
Poisson equations on an (n-2)-dimensional Einstein base manifold. Explicit
examples may be constructed in terms of generalised harmonic functions. A
dimensional reduction of these multi-centre solutions gives new time-dependent
Kaluza-Klein black holes and monopoles, including time-dependent black holes in
a cosmological background whose spatial sections have non-vanishing curvature.
| hep-th gr-qc math.DG | the classifications of holonomy groups in lorentzian and in euclidean signature are quite different a group of interest in lorentzian signature in n dimensions is the maximal proper subgroup of the lorentz group simn2 ricciflat metrics with sim2 holonomy were constructed by kerr and goldberg and a single fourdimensional example with a nonzero cosmological constant was exhibited by ghanam and thompson here we reduce the problem of finding the general ndimensional einstein metric of simn2 holonomy with and without a cosmological constant to solving a set linear generalised laplace and poisson equations on an n2dimensional einstein base manifold explicit examples may be constructed in terms of generalised harmonic functions a dimensional reduction of these multicentre solutions gives new timedependent kaluzaklein black holes and monopoles including timedependent black holes in a cosmological background whose spatial sections have nonvanishing curvature | [['the', 'classifications', 'of', 'holonomy', 'groups', 'in', 'lorentzian', 'and', 'in', 'euclidean', 'signature', 'are', 'quite', 'different', 'a', 'group', 'of', 'interest', 'in', 'lorentzian', 'signature', 'in', 'n', 'dimensions', 'is', 'the', 'maximal', 'proper', 'subgroup', 'of', 'the', 'lorentz', 'group', 'simn2', 'ricciflat', 'metrics', 'with', 'sim2', 'holonomy', 'were', 'constructed', 'by', 'kerr', 'and', 'goldberg', 'and', 'a', 'single', 'fourdimensional', 'example', 'with', 'a', 'nonzero', 'cosmological', 'constant', 'was', 'exhibited', 'by', 'ghanam', 'and', 'thompson', 'here', 'we', 'reduce', 'the', 'problem', 'of', 'finding', 'the', 'general', 'ndimensional', 'einstein', 'metric', 'of', 'simn2', 'holonomy', 'with', 'and', 'without', 'a', 'cosmological', 'constant', 'to', 'solving', 'a', 'set', 'linear', 'generalised', 'laplace', 'and', 'poisson', 'equations', 'on', 'an', 'n2dimensional', 'einstein', 'base', 'manifold', 'explicit', 'examples', 'may', 'be', 'constructed', 'in', 'terms', 'of', 'generalised', 'harmonic', 'functions', 'a', 'dimensional', 'reduction', 'of', 'these', 'multicentre', 'solutions', 'gives', 'new', 'timedependent', 'kaluzaklein', 'black', 'holes', 'and', 'monopoles', 'including', 'timedependent', 'black', 'holes', 'in', 'a', 'cosmological', 'background', 'whose', 'spatial', 'sections', 'have', 'nonvanishing', 'curvature']] | [-0.17399379669481682, 0.10112549649062136, -0.049786580029737064, 0.08419051515024707, -0.1336062511705138, -0.15069909450011673, -0.04195674440081887, 0.338157501740864, -0.15537299115935133, -0.2749264882049627, 0.0954969058106481, -0.27769963591945945, -0.14130538073713306, 0.18937886230371617, -0.10005769066995493, 0.049869265188721736, -0.004112568387278804, 0.07422915834381624, -0.14271930156068668, -0.2688098706882792, 0.42573815033667617, 0.04648259930588581, 0.23577580477835403, -0.015940063996930365, 0.16150257762314546, -0.05188951269482021, -0.06220712928377368, 0.09437658353536217, -0.13349369475100603, 0.07736284563887036, 0.23964377779996507, 0.06711094510758779, 0.18663577632633624, -0.3744728314310864, -0.2568981625967556, 0.14190195660210317, 0.11971037326104662, 0.13936791833904055, -0.07126595093609972, -0.3352740333863982, 0.061301327127687356, -0.16380024441276436, -0.1832901884491245, -0.07527327802273687, 0.04725526225304714, -0.05954686550561477, -0.18964083930132566, 0.08884703271021997, 0.05170735198728464, 0.020469456103940804, -0.10494236411457812, -0.06563807939334462, -0.02880170368934395, 0.06311004324298766, 0.07065648019003372, 0.03959615022564928, 0.0927861757852413, -0.06781190593615907, -0.15799634815021246, 0.3922843066147632, -0.1275553398869104, -0.30481255045505584, 0.0814091440635147, -0.1770215455442667, -0.12397489871105385, 0.12071625746579634, 0.15184028065866895, 0.17109493120332006, -0.12086370554537064, 0.2059288006590645, -0.03500315689102367, 0.07840521260751067, 0.15592330618657999, -0.007914271313886813, 0.21258473570493083, 0.0589900904731756, 0.06673018510660364, 0.1025386631342203, 0.005119283078238368, -0.07490157526400354, -0.3549890723493364, -0.16898636862256186, -0.13453181236292477, 0.2001040589047113, -0.23181518006097543, -0.20512908826651122, 0.35511993966927685, -0.0425016988392195, 0.17800642695208943, 0.04556938478792155, 0.19303881090282057, 0.07137988110307897, 0.03341761554625851, 0.10111823358607513, 0.22161705382858163, 0.18579003051164802, 0.03580735187494644, -0.18613498363799105, -0.11818394285316268, 0.155628105070166] |
709.2441 | A characterization of Weingarten surfaces in hyperbolic 3-space | We study 2-dimensional submanifolds of the space
${\mathbb{L}}({\mathbb{H}}^3)$ of oriented geodesics of hyperbolic 3-space,
endowed with the canonical neutral K\"ahler structure. Such a surface is
Lagrangian iff there exists a surface in ${\mathbb{H}}^3$ orthogonal to the
geodesics of $\Sigma$.
We prove that the induced metric on a Lagrangian surface in
${\mathbb{L}}({\mathbb{H}}^3)$ has zero Gauss curvature iff the orthogonal
surfaces in ${\mathbb{H}}^3$ are Weingarten: the eigenvalues of the second
fundamental form are functionally related. We then classify the totally null
surfaces in ${\mathbb{L}}({\mathbb{H}}^3)$ and recover the well-known
holomorphic constructions of flat and CMC 1 surfaces in ${\mathbb{H}}^3$.
| math.DG | we study 2dimensional submanifolds of the space mathbblmathbbh3 of oriented geodesics of hyperbolic 3space endowed with the canonical neutral kahler structure such a surface is lagrangian iff there exists a surface in mathbbh3 orthogonal to the geodesics of sigma we prove that the induced metric on a lagrangian surface in mathbblmathbbh3 has zero gauss curvature iff the orthogonal surfaces in mathbbh3 are weingarten the eigenvalues of the second fundamental form are functionally related we then classify the totally null surfaces in mathbblmathbbh3 and recover the wellknown holomorphic constructions of flat and cmc 1 surfaces in mathbbh3 | [['we', 'study', '2dimensional', 'submanifolds', 'of', 'the', 'space', 'mathbblmathbbh3', 'of', 'oriented', 'geodesics', 'of', 'hyperbolic', '3space', 'endowed', 'with', 'the', 'canonical', 'neutral', 'kahler', 'structure', 'such', 'a', 'surface', 'is', 'lagrangian', 'iff', 'there', 'exists', 'a', 'surface', 'in', 'mathbbh3', 'orthogonal', 'to', 'the', 'geodesics', 'of', 'sigma', 'we', 'prove', 'that', 'the', 'induced', 'metric', 'on', 'a', 'lagrangian', 'surface', 'in', 'mathbblmathbbh3', 'has', 'zero', 'gauss', 'curvature', 'iff', 'the', 'orthogonal', 'surfaces', 'in', 'mathbbh3', 'are', 'weingarten', 'the', 'eigenvalues', 'of', 'the', 'second', 'fundamental', 'form', 'are', 'functionally', 'related', 'we', 'then', 'classify', 'the', 'totally', 'null', 'surfaces', 'in', 'mathbblmathbbh3', 'and', 'recover', 'the', 'wellknown', 'holomorphic', 'constructions', 'of', 'flat', 'and', 'cmc', '1', 'surfaces', 'in', 'mathbbh3']] | [-0.25132441657963983, 0.12120154029253172, -0.06881720047870961, 0.0707388517682072, -0.09922011718542005, -0.1277419823842744, -0.07741817571756353, 0.3773824577898874, -0.2498563726840075, -0.15696755080110356, 0.056624165448738495, -0.312466258755497, -0.2128331486795408, 0.15368478722909154, -0.14448785398174854, 0.014826356903843893, 0.01449375256440059, 0.10627384320347726, -0.13529955395157836, -0.24366633815710279, 0.43182737049937714, -0.06381764511267345, 0.20904388309524316, 0.06642644357149645, 0.1560158041441658, -0.03799678976065479, 0.013771895130048506, 0.04899534850028431, -0.22700068274366458, 0.155714411775989, 0.22991513684003925, 0.051789723829036426, 0.12244464198981102, -0.38812746458764497, -0.20622815436217934, 0.19246877349602678, 0.10229502982959578, -0.02230455221918722, -0.03609894182955031, -0.26321157463341177, 0.07601439824414531, -0.004993692125329592, -0.22903510336376107, -0.0436747526958546, 0.02630497532663867, -0.020097928599473864, -0.10585187936097402, 0.028884127212222666, 0.14183758506017816, 0.09729977549795876, -0.09299785475013778, -0.06381130681014231, -0.13692115393738882, 0.07033924953915023, 0.04962856891749349, 0.09591573147190502, 0.07862445503027023, -0.019075104777584784, -0.06522189163054766, 0.4150212329016843, -0.11711113863081361, -0.3431025714574692, 0.10166644507747453, -0.18207437819607245, -0.12694360139236474, 0.15396469150437042, 0.1607714548105529, 0.17320561927044764, -0.07127368097098952, 0.2479645713016604, -0.08124306268291548, 0.049406817386625335, 0.18516642794323465, -0.06930389613747441, 0.1929277940459239, 0.05990157054232744, 0.1377262716026356, 0.12283289711922407, -0.04416701186225206, -0.07472243666416034, -0.3693120238931442, -0.2858880528559287, -0.13554746224932993, 0.13279184540927721, -0.11866424910325198, -0.2644423082335076, 0.3612908972839553, -0.06998250314488057, 0.19234748349329797, 0.12209164261973153, 0.22305763918726976, -0.0034944043018185766, 0.037523441865535766, 0.16022052749273522, 0.19170162415442368, 0.21112203121689768, -0.07745805248608424, -0.10463496995392536, -0.08324035114977353, 0.16339626556145959] |
709.2442 | Complete intersection dimensions and Foxby classes | Let $R$ be a local ring and $M$ a finitely generated $R$-module. The complete
intersection dimension of $M$--defined by Avramov, Gasharov and Peeva, and
denoted $\cidim_R(M)$--is a homological invariant whose finiteness implies that
$M$ is similar to a module over a complete intersection. It is related to the
classical projective dimension and to Auslander and Bridger's Gorenstein
dimension by the inequalities $\gdim_R(N)\leq\cidim_R(N)\leq\pd_R(N)$.
Using Blanco and Majadas' version of complete intersection dimension for
local ring homomorphisms, we prove the following generalization of a theorem of
Avramov and Foxby: Given local ring homomorphisms $\phi\colon R\to S$ and
$\psi\colon S\to T$ such that $\phi$ has finite Gorenstein dimension, if $\psi$
has finite complete intersection dimension, then the composition
$\psi\circ\phi$ has finite Gorenstein dimension. This follows from our result
stating that, if $M$ has finite complete intersection dimension, then $M$ is
$C$-reflexive and is in the Auslander class $\catac(R)$ for each semidualizing
$R$-complex $C$.
| math.AC math.RA | let r be a local ring and m a finitely generated rmodule the complete intersection dimension of mdefined by avramov gasharov and peeva and denoted cidim_rmis a homological invariant whose finiteness implies that m is similar to a module over a complete intersection it is related to the classical projective dimension and to auslander and bridgers gorenstein dimension by the inequalities gdim_rnleqcidim_rnleqpd_rn using blanco and majadas version of complete intersection dimension for local ring homomorphisms we prove the following generalization of a theorem of avramov and foxby given local ring homomorphisms phicolon rto s and psicolon sto t such that phi has finite gorenstein dimension if psi has finite complete intersection dimension then the composition psicircphi has finite gorenstein dimension this follows from our result stating that if m has finite complete intersection dimension then m is creflexive and is in the auslander class catacr for each semidualizing rcomplex c | [['let', 'r', 'be', 'a', 'local', 'ring', 'and', 'm', 'a', 'finitely', 'generated', 'rmodule', 'the', 'complete', 'intersection', 'dimension', 'of', 'mdefined', 'by', 'avramov', 'gasharov', 'and', 'peeva', 'and', 'denoted', 'cidim_rmis', 'a', 'homological', 'invariant', 'whose', 'finiteness', 'implies', 'that', 'm', 'is', 'similar', 'to', 'a', 'module', 'over', 'a', 'complete', 'intersection', 'it', 'is', 'related', 'to', 'the', 'classical', 'projective', 'dimension', 'and', 'to', 'auslander', 'and', 'bridgers', 'gorenstein', 'dimension', 'by', 'the', 'inequalities', 'gdim_rnleqcidim_rnleqpd_rn', 'using', 'blanco', 'and', 'majadas', 'version', 'of', 'complete', 'intersection', 'dimension', 'for', 'local', 'ring', 'homomorphisms', 'we', 'prove', 'the', 'following', 'generalization', 'of', 'a', 'theorem', 'of', 'avramov', 'and', 'foxby', 'given', 'local', 'ring', 'homomorphisms', 'phicolon', 'rto', 's', 'and', 'psicolon', 'sto', 't', 'such', 'that', 'phi', 'has', 'finite', 'gorenstein', 'dimension', 'if', 'psi', 'has', 'finite', 'complete', 'intersection', 'dimension', 'then', 'the', 'composition', 'psicircphi', 'has', 'finite', 'gorenstein', 'dimension', 'this', 'follows', 'from', 'our', 'result', 'stating', 'that', 'if', 'm', 'has', 'finite', 'complete', 'intersection', 'dimension', 'then', 'm', 'is', 'creflexive', 'and', 'is', 'in', 'the', 'auslander', 'class', 'catacr', 'for', 'each', 'semidualizing', 'rcomplex', 'c']] | [-0.168214576397013, 0.0679291118900259, -0.10827827951512657, 0.02977528824825882, -0.053533335379162036, -0.22557315942212627, -0.06528145948773367, 0.2969570156264972, -0.36192759663075, -0.13954509685297947, 0.10239172270488958, -0.25744842302210474, -0.08399005247918251, 0.14804540000452132, -0.1837805651773054, -0.029415117041045033, 0.032786048087454236, 0.11085781827243371, -0.041616377116252594, -0.3623381303948956, 0.3960070305575545, -0.043730386156732075, 0.1975140737083096, 0.10503547321809652, 0.142659441616803, 0.05044144728396843, -0.0032789882441813297, 0.08581552606798917, -0.2369016859886685, 0.08730892398088545, 0.30334169468907574, 0.12998384353053477, 0.18967858402358068, -0.29686172350173023, -0.0960385631704768, 0.24247275695035403, 0.11354296578182285, -0.033911047483813926, 0.015983725797020263, -0.25169402333562607, 0.23667020999364086, -0.18692101820508814, -0.16390742585909637, -0.03936569919236577, 0.18513865835339458, -0.015126345913622764, -0.29694081560246177, -0.02726338628086854, 0.17019395771846696, 0.19379018738320816, 0.0029410402700826006, -0.0633678051603997, -0.13217918926335454, 0.027452803731381478, -0.09467506876306517, 0.08235383315591494, 0.08695828450609233, -0.02103503990000101, -0.12426656725575456, 0.31948994712291895, -0.07579572507346348, -0.16852358275848617, 0.1671517327007792, -0.1945129618328716, -0.0951368801484627, 0.09733258116680159, -0.005915765938759371, 0.15855911879236909, -0.005300959565683262, 0.29100050582099457, -0.1988563837183939, 0.09347370269845102, 0.13823559408733896, 0.015186208205857685, 0.09816962241201654, 0.09391696854019081, 0.14799365334614129, 0.13876997581373743, 0.036127773670388476, 0.0516130937022398, -0.35045648003452934, -0.21045656581051075, -0.1873518689454149, 0.22933737590414036, -0.11683810117621532, -0.11395557595976999, 0.38938952120138215, 0.012998688896023831, 0.18045945105409913, 0.11758220214982862, 0.23956163135077152, 0.007265647610330342, 0.06341924924172226, 0.11225904487529313, 0.054468528906508655, 0.2588688558312719, -0.03347625888613789, -0.10012222548305233, -0.018474115697028753, 0.27265822940825163] |
709.2443 | Fractional Dynamical Systems on Fractional Leibniz Algebroids | The theory of derivative of noninteger order goes back to Leibniz, Liouville
and Riemann. Derivatives of fractional order have found many applications in
recent studies in mechanics, physics, economics. In this paper we define the
fractional tangent bundle on a manifold, using a method of Radu Miron. The
fractional Leibniz algebroids are investigated. The associated objects have an
geometric character. Some fractional dynamical systems on a fractional Leibniz
algebroid are disscussed.
| math.DG math.DS | the theory of derivative of noninteger order goes back to leibniz liouville and riemann derivatives of fractional order have found many applications in recent studies in mechanics physics economics in this paper we define the fractional tangent bundle on a manifold using a method of radu miron the fractional leibniz algebroids are investigated the associated objects have an geometric character some fractional dynamical systems on a fractional leibniz algebroid are disscussed | [['the', 'theory', 'of', 'derivative', 'of', 'noninteger', 'order', 'goes', 'back', 'to', 'leibniz', 'liouville', 'and', 'riemann', 'derivatives', 'of', 'fractional', 'order', 'have', 'found', 'many', 'applications', 'in', 'recent', 'studies', 'in', 'mechanics', 'physics', 'economics', 'in', 'this', 'paper', 'we', 'define', 'the', 'fractional', 'tangent', 'bundle', 'on', 'a', 'manifold', 'using', 'a', 'method', 'of', 'radu', 'miron', 'the', 'fractional', 'leibniz', 'algebroids', 'are', 'investigated', 'the', 'associated', 'objects', 'have', 'an', 'geometric', 'character', 'some', 'fractional', 'dynamical', 'systems', 'on', 'a', 'fractional', 'leibniz', 'algebroid', 'are', 'disscussed']] | [-0.1762556694382408, 0.011208382561601187, -0.09570893016151927, 0.11109017346441273, -0.18247340013548521, -0.09575344909566232, -0.04333956963317075, 0.3268130940818031, -0.32248830370290177, -0.23722591463633827, 0.13915613009823932, -0.2807562590681646, -0.2317040053943933, 0.16895285170708954, -0.1718651771866782, 0.05228537516209336, -0.0166508225120709, 0.09320500876072427, -0.12673012041945902, -0.22449560196001186, 0.38750006358834427, -0.032171513504860264, 0.17282214990167707, 0.025736640215667725, 0.12636609122314504, -0.08353836589138693, -0.03363198526597149, -0.009476304159198009, -0.177670138317462, 0.13468969769408584, 0.2607933541622118, -0.04708776983734168, 0.3308741301691658, -0.42050267866169905, -0.20983515180070217, 0.10623939362892383, 0.0825829827685801, -0.016071527251895045, 0.011719750578213535, -0.3208637158451995, 0.038345431377717724, -0.2011481917817408, -0.14260478885713176, -0.10019631582167997, 0.07993265184980462, 0.019006357515152072, -0.12221637779427036, 0.06250443485316257, 0.07097857476098948, 0.11154476845715668, -0.10422592465831361, -0.1550731067545712, -0.039622479092172334, 0.024210649568744948, -0.008293747455931045, 0.026491156359478622, 0.09044144469195269, -0.09127263908772926, -0.26707328800899044, 0.3983879673334075, -0.022009548831167042, -0.2707486226236526, 0.11631510734663043, -0.18512305061162357, -0.23194030499164486, 0.10735057519459716, 0.12004412120391786, 0.1731660345989004, -0.09858635953352066, 0.16635283478125798, -0.040407170489115615, 0.041242680013914346, 0.09694880114632173, 0.019306970720874592, 0.16964850248113064, 0.14912844235471018, 0.04482115417453263, 0.07563313334183373, -0.02071474747433865, -0.15890310586653125, -0.3294867628162176, -0.2598625498063023, -0.13525262502559893, 0.1299723395290719, -0.08527519286943855, -0.13854015309652182, 0.3578315790690167, 0.15671494549376444, 0.1172522851331553, 0.07721923005071954, 0.16284249201876072, 0.19616416648922252, 0.057342318351492026, -0.016308164014153078, 0.182280921517022, 0.2435684532294391, 0.1527852735705149, -0.14686427616947134, -0.08262366017582498, 0.18038607725847355] |
709.2444 | Unitary and Euclidean representations of a quiver | A unitary (Euclidean) representation of a quiver is given by assigning to
each vertex a unitary (Euclidean) vector space and to each arrow a linear
mapping of the corresponding vector spaces. We recall an algorithm for reducing
the matrices of a unitary representation to canonical form, give a certain
description of the representations in canonical form, and reduce the problem of
classifying Euclidean representations to the problem of classifying unitary
representations. We also describe the set of dimensions of all indecomposable
unitary (Euclidean) representations of a quiver and establish the number of
parameters in an indecomposable unitary representation of a given dimension.
| math.RT | a unitary euclidean representation of a quiver is given by assigning to each vertex a unitary euclidean vector space and to each arrow a linear mapping of the corresponding vector spaces we recall an algorithm for reducing the matrices of a unitary representation to canonical form give a certain description of the representations in canonical form and reduce the problem of classifying euclidean representations to the problem of classifying unitary representations we also describe the set of dimensions of all indecomposable unitary euclidean representations of a quiver and establish the number of parameters in an indecomposable unitary representation of a given dimension | [['a', 'unitary', 'euclidean', 'representation', 'of', 'a', 'quiver', 'is', 'given', 'by', 'assigning', 'to', 'each', 'vertex', 'a', 'unitary', 'euclidean', 'vector', 'space', 'and', 'to', 'each', 'arrow', 'a', 'linear', 'mapping', 'of', 'the', 'corresponding', 'vector', 'spaces', 'we', 'recall', 'an', 'algorithm', 'for', 'reducing', 'the', 'matrices', 'of', 'a', 'unitary', 'representation', 'to', 'canonical', 'form', 'give', 'a', 'certain', 'description', 'of', 'the', 'representations', 'in', 'canonical', 'form', 'and', 'reduce', 'the', 'problem', 'of', 'classifying', 'euclidean', 'representations', 'to', 'the', 'problem', 'of', 'classifying', 'unitary', 'representations', 'we', 'also', 'describe', 'the', 'set', 'of', 'dimensions', 'of', 'all', 'indecomposable', 'unitary', 'euclidean', 'representations', 'of', 'a', 'quiver', 'and', 'establish', 'the', 'number', 'of', 'parameters', 'in', 'an', 'indecomposable', 'unitary', 'representation', 'of', 'a', 'given', 'dimension']] | [-0.11520676550400608, 0.13694282342347672, -0.07781430330200523, 0.028404816707787925, -0.08826339358518667, -0.10642658799484957, 0.01608858086789648, 0.33467716774811934, -0.32677631990016237, -0.18925626443096383, 0.05833099023941174, -0.23176685131757574, -0.18267607449339338, 0.11174856465967263, -0.10204058185256287, 0.04066930033777859, 0.07077440708606303, 0.16640728659124351, -0.1906420416198671, -0.3017684752760711, 0.386426739412926, -0.027174789476774486, 0.23894417956106218, -0.04594899694818784, 0.21427870583811812, 0.07520654420003149, -0.050224076353890056, -0.04130796253636671, -0.04402089274634479, 0.1907300428720191, 0.3268726023425366, 0.15604820806651795, 0.20408059871189443, -0.360810469306421, -0.15519377225370823, 0.24736563487927996, 0.13304946040643342, 0.092244051415108, 0.02612899992085409, -0.31490580842592847, 0.08209881884035627, -0.17105708358005858, -0.12190745389271601, -0.0988481254042948, 0.07898614292635638, -0.07783340679152924, -0.2822892663443424, -0.03502476596365929, 0.07682674122499485, 0.07662032369305105, -0.15387567319888987, -0.06408715317957103, 0.01268078948544594, 0.15830368023963792, -0.0708871777192233, 0.0815779824476397, 0.06507347872499011, -0.18499634911616644, -0.14310597059517807, 0.4007329386339395, -0.006049576060225566, -0.3070276052930079, 0.13948596957340545, -0.11930290159915447, -0.12625338650062023, 0.08232914321307166, 0.14807240381909936, 0.10089226922148145, -0.08470154874136343, 0.16869149557782756, -0.14265764401495165, 0.060922750495556816, 0.08901388740267459, 0.030317056609098527, 0.14858957302902698, 0.1196811699545851, 0.07433208153017011, 0.16065927509072364, 0.030163803401485306, -0.055725168986314466, -0.3670944816195497, -0.22373498714182014, -0.17173299285487326, 0.09585081232602105, -0.17670139642024307, -0.19479253354902362, 0.4508701356620911, 0.07274599745869637, 0.3100304758614477, 0.14947749740973698, 0.2092448755112641, 0.11180530268343407, 0.052784990628852564, 0.07494299090467393, 0.07681762449005071, 0.20625931997189992, -0.07961559500180039, -0.18027289182988598, -0.062231498297906536, 0.24497724885769262] |
709.2445 | A Simple Characterization of Strategic Behaviors in Broadcast Channels | In this paper, we consider the problem of resource allocation among two
competing users sharing a binary symmetric broadcast channel. We model the
interaction between autonomous selfish users in the resource allocation and
analyze their strategic behavior in manipulating the allocation outcome. We
analytically show that users will improve their performance (i.e. gain higher
allocated rates) if they have more information about the strategy of the
competing user.
| cs.IT cs.GT math.IT | in this paper we consider the problem of resource allocation among two competing users sharing a binary symmetric broadcast channel we model the interaction between autonomous selfish users in the resource allocation and analyze their strategic behavior in manipulating the allocation outcome we analytically show that users will improve their performance ie gain higher allocated rates if they have more information about the strategy of the competing user | [['in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'resource', 'allocation', 'among', 'two', 'competing', 'users', 'sharing', 'a', 'binary', 'symmetric', 'broadcast', 'channel', 'we', 'model', 'the', 'interaction', 'between', 'autonomous', 'selfish', 'users', 'in', 'the', 'resource', 'allocation', 'and', 'analyze', 'their', 'strategic', 'behavior', 'in', 'manipulating', 'the', 'allocation', 'outcome', 'we', 'analytically', 'show', 'that', 'users', 'will', 'improve', 'their', 'performance', 'ie', 'gain', 'higher', 'allocated', 'rates', 'if', 'they', 'have', 'more', 'information', 'about', 'the', 'strategy', 'of', 'the', 'competing', 'user']] | [-0.2446682484844453, 0.03627841902540668, -0.06619181664770141, 0.09045925931422971, -0.12827357886057786, -0.25142552946721586, 0.16816900488543873, 0.45017552748322487, -0.29977465560659766, -0.30199734314673526, 0.048608565944424996, -0.28068225966896587, -0.16012966238400517, 0.07727536052013473, -0.11555559759076192, -0.02170972408288542, 0.040159129811560404, 0.08352026347454418, 0.02879408809445415, -0.3456917048383997, 0.3298028609578443, 0.07621770267210462, 0.35270348248784156, 0.014925528440953177, 0.005620344281744431, 0.051297810705899095, -0.043492161470246225, -0.04643797230742434, -0.13755347911212404, 0.13768173970439582, 0.3700497195763198, 0.2229786384576822, 0.3810631900012274, -0.41931113411727194, -0.19313398139167795, 0.1521373214542537, 0.15795799678958514, 0.04219224350869327, -0.014823466886274913, -0.26205617009819593, 0.10321680663550711, -0.30270793207455426, 0.004981627578244489, -0.025277285459999216, -0.06015328706844764, 0.055265567546217316, -0.31278679470586424, 0.0054745539776323475, 0.017414755160536838, 0.025294032249161425, -0.10499992533860837, -0.09545571532319574, 0.01800858777235536, 0.25466850916991995, 0.06673339688105069, -0.12353907426415175, 0.09424722897957134, -0.1972470949506661, -0.177403370712829, 0.39939454758046744, 0.03746775366872659, -0.24022082171594614, 0.16545972434259432, -0.08456606623333167, -0.1013924185107873, 0.08694744763402816, 0.2708459903540857, 0.09185379158417858, -0.18111814401687726, -0.04402090713248232, -0.051803534097202564, 0.16946764178539844, 0.08387987060910639, 0.13025991543990506, 0.19526851094697656, 0.19380205399904618, 0.1478463795809897, 0.1472762776127852, -0.009496378773987731, -0.16039660379208406, -0.14892581073731623, -0.11768712966209825, -0.15899834414834485, 0.01235440225162379, -0.1027278038465524, -0.01951009000870673, 0.37507921879124995, 0.1781671401935027, 0.07981783880934339, 0.09951423977241468, 0.3385885004502009, 0.07498041400685906, -0.021802621092373395, 0.1558780329000643, 0.17600151706103453, -0.019022954052642864, 0.16048849157660322, -0.28864301995867314, 0.11069968222256969, -0.07349552805809413] |
709.2446 | Learning for Dynamic Bidding in Cognitive Radio Resources | In this paper, we model the various wireless users in a cognitive radio
network as a collection of selfish, autonomous agents that strategically
interact in order to acquire the dynamically available spectrum opportunities.
Our main focus is on developing solutions for wireless users to successfully
compete with each other for the limited and time-varying spectrum
opportunities, given the experienced dynamics in the wireless network. We
categorize these dynamics into two types: one is the disturbance due to the
environment (e.g. wireless channel conditions, source traffic characteristics,
etc.) and the other is the impact caused by competing users. To analyze the
interactions among users given the environment disturbance, we propose a
general stochastic framework for modeling how the competition among users for
spectrum opportunities evolves over time. At each stage of the dynamic resource
allocation, a central spectrum moderator auctions the available resources and
the users strategically bid for the required resources. The joint bid actions
affect the resource allocation and hence, the rewards and future strategies of
all users. Based on the observed resource allocation and corresponding rewards
from previous allocations, we propose a best response learning algorithm that
can be deployed by wireless users to improve their bidding policy at each
stage. The simulation results show that by deploying the proposed best response
learning algorithm, the wireless users can significantly improve their own
performance in terms of both the packet loss rate and the incurred cost for the
used resources.
| cs.LG cs.GT | in this paper we model the various wireless users in a cognitive radio network as a collection of selfish autonomous agents that strategically interact in order to acquire the dynamically available spectrum opportunities our main focus is on developing solutions for wireless users to successfully compete with each other for the limited and timevarying spectrum opportunities given the experienced dynamics in the wireless network we categorize these dynamics into two types one is the disturbance due to the environment eg wireless channel conditions source traffic characteristics etc and the other is the impact caused by competing users to analyze the interactions among users given the environment disturbance we propose a general stochastic framework for modeling how the competition among users for spectrum opportunities evolves over time at each stage of the dynamic resource allocation a central spectrum moderator auctions the available resources and the users strategically bid for the required resources the joint bid actions affect the resource allocation and hence the rewards and future strategies of all users based on the observed resource allocation and corresponding rewards from previous allocations we propose a best response learning algorithm that can be deployed by wireless users to improve their bidding policy at each stage the simulation results show that by deploying the proposed best response learning algorithm the wireless users can significantly improve their own performance in terms of both the packet loss rate and the incurred cost for the used resources | [['in', 'this', 'paper', 'we', 'model', 'the', 'various', 'wireless', 'users', 'in', 'a', 'cognitive', 'radio', 'network', 'as', 'a', 'collection', 'of', 'selfish', 'autonomous', 'agents', 'that', 'strategically', 'interact', 'in', 'order', 'to', 'acquire', 'the', 'dynamically', 'available', 'spectrum', 'opportunities', 'our', 'main', 'focus', 'is', 'on', 'developing', 'solutions', 'for', 'wireless', 'users', 'to', 'successfully', 'compete', 'with', 'each', 'other', 'for', 'the', 'limited', 'and', 'timevarying', 'spectrum', 'opportunities', 'given', 'the', 'experienced', 'dynamics', 'in', 'the', 'wireless', 'network', 'we', 'categorize', 'these', 'dynamics', 'into', 'two', 'types', 'one', 'is', 'the', 'disturbance', 'due', 'to', 'the', 'environment', 'eg', 'wireless', 'channel', 'conditions', 'source', 'traffic', 'characteristics', 'etc', 'and', 'the', 'other', 'is', 'the', 'impact', 'caused', 'by', 'competing', 'users', 'to', 'analyze', 'the', 'interactions', 'among', 'users', 'given', 'the', 'environment', 'disturbance', 'we', 'propose', 'a', 'general', 'stochastic', 'framework', 'for', 'modeling', 'how', 'the', 'competition', 'among', 'users', 'for', 'spectrum', 'opportunities', 'evolves', 'over', 'time', 'at', 'each', 'stage', 'of', 'the', 'dynamic', 'resource', 'allocation', 'a', 'central', 'spectrum', 'moderator', 'auctions', 'the', 'available', 'resources', 'and', 'the', 'users', 'strategically', 'bid', 'for', 'the', 'required', 'resources', 'the', 'joint', 'bid', 'actions', 'affect', 'the', 'resource', 'allocation', 'and', 'hence', 'the', 'rewards', 'and', 'future', 'strategies', 'of', 'all', 'users', 'based', 'on', 'the', 'observed', 'resource', 'allocation', 'and', 'corresponding', 'rewards', 'from', 'previous', 'allocations', 'we', 'propose', 'a', 'best', 'response', 'learning', 'algorithm', 'that', 'can', 'be', 'deployed', 'by', 'wireless', 'users', 'to', 'improve', 'their', 'bidding', 'policy', 'at', 'each', 'stage', 'the', 'simulation', 'results', 'show', 'that', 'by', 'deploying', 'the', 'proposed', 'best', 'response', 'learning', 'algorithm', 'the', 'wireless', 'users', 'can', 'significantly', 'improve', 'their', 'own', 'performance', 'in', 'terms', 'of', 'both', 'the', 'packet', 'loss', 'rate', 'and', 'the', 'incurred', 'cost', 'for', 'the', 'used', 'resources']] | [-0.1624559140010617, 0.03720269390406991, -0.037618196790862084, 0.037850285530538604, -0.1195322551747158, -0.1946322245743605, 0.1262195156737428, 0.4213776169383427, -0.29403870511610214, -0.3189611441254832, 0.07983111642992811, -0.28095312574221387, -0.15597893358729933, 0.13928788960949978, -0.12435517891955512, 0.038382050940666455, 0.06386586238293912, 0.06306372206519006, 0.06109661258311741, -0.29407136768094916, 0.3035387884573315, 0.11562822337157994, 0.3589772110982678, 0.03573921673131249, 0.05405360188226977, 0.017045587194983024, -0.04544673981222312, -0.03458061157588082, -0.09209485042726605, 0.13254813119552689, 0.3503162932207352, 0.2094995522856156, 0.3609857119632406, -0.45980597985328725, -0.23012557906713105, 0.12244483985246403, 0.12076073143583156, 0.03967022716987461, -0.033424482032602565, -0.30717620072322144, 0.07480241934922466, -0.25281589987969866, -0.028609033049899635, -0.027482662032091706, -0.06306094906188517, 0.06824801579944759, -0.32154571612392596, -0.031227054100974434, -0.02431970386074168, -0.011407470341947671, -0.11261520594072479, -0.07958889106448926, 0.012274531118621996, 0.2528889532514009, 0.05558692041641542, -0.04410491992151403, 0.1678937919499716, -0.16386073781853674, -0.16590849623659865, 0.40730786943785013, -0.0017775179556458879, -0.18907266443390477, 0.18148745047010645, -0.06549155425581757, -0.10938466165245692, 0.11362878287585908, 0.2701337096603545, 0.07510250781786423, -0.1929940274506962, 0.00045361722499727273, 0.016182550468725534, 0.15605150373880577, 0.03930293802071471, 0.09362925333767952, 0.19874763360567763, 0.19540129068352985, 0.13083857612363622, 0.09992183310451194, -0.04163525649539632, -0.11217474843147385, -0.19457781674433114, -0.09154604962945788, -0.1930015204050211, -0.010780429643389471, -0.09471206951078996, -0.046145453877144214, 0.4303798199016833, 0.17637131172638093, 0.12449861055479629, 0.11043845095819768, 0.38035462049311375, 0.08183978392290438, 0.04903502121791862, 0.1705295997691105, 0.1693541903079669, -0.02629971607004706, 0.19235055507363605, -0.23391670601285947, 0.13228336747079272, -0.03417946569451529] |
709.2447 | Testing Lorentz Symmetry with Gravity | In this talk, results from the gravitational sector of the Standard-Model
Extension (SME) are discussed. The weak-field phenomenology of the resulting
modified gravitational field equations is explored. The application of the
results to a variety of modern gravity experiments, including lunar laser
ranging, Gravity Probe B, binary pulsars, and Earth-laboratory tests, shows
promising sensitivity to gravitational coefficients for Lorentz violation in
the SME.
| gr-qc | in this talk results from the gravitational sector of the standardmodel extension sme are discussed the weakfield phenomenology of the resulting modified gravitational field equations is explored the application of the results to a variety of modern gravity experiments including lunar laser ranging gravity probe b binary pulsars and earthlaboratory tests shows promising sensitivity to gravitational coefficients for lorentz violation in the sme | [['in', 'this', 'talk', 'results', 'from', 'the', 'gravitational', 'sector', 'of', 'the', 'standardmodel', 'extension', 'sme', 'are', 'discussed', 'the', 'weakfield', 'phenomenology', 'of', 'the', 'resulting', 'modified', 'gravitational', 'field', 'equations', 'is', 'explored', 'the', 'application', 'of', 'the', 'results', 'to', 'a', 'variety', 'of', 'modern', 'gravity', 'experiments', 'including', 'lunar', 'laser', 'ranging', 'gravity', 'probe', 'b', 'binary', 'pulsars', 'and', 'earthlaboratory', 'tests', 'shows', 'promising', 'sensitivity', 'to', 'gravitational', 'coefficients', 'for', 'lorentz', 'violation', 'in', 'the', 'sme']] | [-0.14011859958390555, 0.1370804345295314, -0.06447205028962344, 0.0886205324720997, -0.13521225086503452, -0.10283160890873161, -0.04223544975262015, 0.22531927254561696, -0.21054548077705887, -0.3139610415504825, 0.04641773733085081, -0.2634207957664565, -0.11990120364052634, 0.2933073354013745, -0.00033919059205800295, 0.0576542014811909, 0.00040224406327451427, 0.004739514861871759, -0.08714751085086216, -0.21149378342200972, 0.252994860702705, 0.11611281942215658, 0.21062747749590105, 0.04642403381125581, 0.09546402049571982, -0.033099245287538055, -0.08083612694885701, 0.013224227323887809, -0.12666131845194725, 0.07947555197883517, 0.20821502847191428, 0.13948661201227938, 0.13240997403139068, -0.4202110461229759, -0.2313377591180465, 0.044387808970866666, 0.04185402284436408, 0.12731946722394036, -0.10236312233046779, -0.3693797865435631, 0.007753350080982331, -0.2290022854783362, -0.1774776187995749, -0.052615010149536595, 0.019437912185000437, -0.011781727279266041, -0.26816203210863376, 0.05492793011944741, -0.02961109670239591, 0.03321174681637316, -0.03539511608710933, -0.11740421741119315, 0.0848469689127899, 0.0001536378329018912, 0.18671764997434953, 0.06189052313716421, 0.19091336720532948, -0.172300896964096, -0.13266706340495618, 0.4965967734855029, -0.18141110003794422, -0.15584243776937645, 0.19848329673010495, -0.23238679855280825, -0.17909685397640832, 0.08060827556877367, 0.18713319172421772, 0.0979999955818658, -0.1972771066451265, 0.18484310690790504, -0.029978645792711648, 0.13647665643704035, 0.10719976298165537, 0.08089338318865386, 0.30603637411484436, 0.13577864332980807, -0.011258362086429712, 0.07867773007150859, -0.11098871638833155, -0.08864100183540534, -0.368787553604512, -0.11564833003907435, -0.10184256307735678, 0.030556242627602433, -0.12824606383946957, -0.07549693500022253, 0.3853849110704276, 0.19225581605813555, -0.004573560349883572, 0.011759559188278453, 0.27800112324316173, 0.06897446890774693, 0.05028640504855092, -0.028817996660607956, 0.397270537116715, 0.20639352534987754, 0.11535054525630849, -0.25540867053167593, -0.04043020569388905, 0.023135742108758177] |
709.2448 | Symmetric symplectic homotopy K3 surfaces | A study on the relation between the smooth structure of a symplectic homotopy
K3 surface and its symplectic symmetries is initiated. A measurement of
exoticness of a symplectic homotopy K3 surface is introduced, and the influence
of an effective action of a K3 group via symplectic symmetries is investigated.
It is shown that an effective action by various maximal symplectic K3 groups
forces the corresponding homotopy K3 surface to be minimally exotic with
respect to our measure. (However, the standard K3 is the only known example of
such minimally exotic homotopy K3 surfaces.) The possible structure of a finite
group of symplectic symmetries of a minimally exotic homotopy K3 surface is
determined and future research directions are indicated.
| math.GT math.SG | a study on the relation between the smooth structure of a symplectic homotopy k3 surface and its symplectic symmetries is initiated a measurement of exoticness of a symplectic homotopy k3 surface is introduced and the influence of an effective action of a k3 group via symplectic symmetries is investigated it is shown that an effective action by various maximal symplectic k3 groups forces the corresponding homotopy k3 surface to be minimally exotic with respect to our measure however the standard k3 is the only known example of such minimally exotic homotopy k3 surfaces the possible structure of a finite group of symplectic symmetries of a minimally exotic homotopy k3 surface is determined and future research directions are indicated | [['a', 'study', 'on', 'the', 'relation', 'between', 'the', 'smooth', 'structure', 'of', 'a', 'symplectic', 'homotopy', 'k3', 'surface', 'and', 'its', 'symplectic', 'symmetries', 'is', 'initiated', 'a', 'measurement', 'of', 'exoticness', 'of', 'a', 'symplectic', 'homotopy', 'k3', 'surface', 'is', 'introduced', 'and', 'the', 'influence', 'of', 'an', 'effective', 'action', 'of', 'a', 'k3', 'group', 'via', 'symplectic', 'symmetries', 'is', 'investigated', 'it', 'is', 'shown', 'that', 'an', 'effective', 'action', 'by', 'various', 'maximal', 'symplectic', 'k3', 'groups', 'forces', 'the', 'corresponding', 'homotopy', 'k3', 'surface', 'to', 'be', 'minimally', 'exotic', 'with', 'respect', 'to', 'our', 'measure', 'however', 'the', 'standard', 'k3', 'is', 'the', 'only', 'known', 'example', 'of', 'such', 'minimally', 'exotic', 'homotopy', 'k3', 'surfaces', 'the', 'possible', 'structure', 'of', 'a', 'finite', 'group', 'of', 'symplectic', 'symmetries', 'of', 'a', 'minimally', 'exotic', 'homotopy', 'k3', 'surface', 'is', 'determined', 'and', 'future', 'research', 'directions', 'are', 'indicated']] | [-0.20901817697301603, 0.15537677707384395, -0.13405137710367976, 0.11207661398694362, -0.13242919946294593, -0.17674225001098684, -0.01508051223689848, 0.3347363459830314, -0.3041247290922171, -0.2698549104689707, 0.07468172519515126, -0.25611856087284574, -0.19117893638499714, 0.1768445901777911, -0.151748726787677, -0.0013261326056928768, 0.004297826679865435, 0.1015919618095445, -0.13011981159205926, -0.29668016298042643, 0.4226488866014564, 0.010957201303503776, 0.26344784940852534, 0.08349673033660372, 0.08963342413890286, -0.0405452354392826, -0.014282826795953057, -0.03008476347599368, -0.1043410615589676, 0.13715622642756267, 0.2846972326416585, -0.025334840802223247, 0.11468169237171316, -0.38884217150004236, -0.2393179913603906, 0.14579192641431907, 0.09421759136455228, 0.06351871762456278, -0.05964984566119294, -0.29299237043991433, 0.0748208513166716, -0.14352597100502354, -0.1808933276501563, -0.09315887731263194, 0.04201171684899699, -0.028978070109032916, -0.13963050881136305, -0.061646611653209143, 0.06343554403885442, 0.15911073381006244, -0.05963345546121472, -0.04612344041687705, -0.17052538400433043, 0.07596795623569544, 0.05674811011827472, 0.08248376076196526, 0.11294551777763892, -0.12884214810506142, -0.09899861509201385, 0.43097176702724677, -0.06601885606739986, -0.2518716910821918, 0.14984362347493485, -0.096142788161129, -0.14974165143113646, 0.17600566086406677, 0.05338440322064621, 0.2139514807209183, -0.04172070933036285, 0.19152291263384602, -0.07702012551885287, 0.08515927115044856, 0.05933675075233993, -0.05690503824044461, 0.16739658642781235, 0.16884363895297935, 0.12498211843293097, 0.06129955797815317, -0.035463364631079644, -0.05205171809470581, -0.34355618700511376, -0.19668611349395904, -0.09735823976728371, 0.17604489631603581, -0.08437958889667012, -0.15329901392495662, 0.41555959232530354, -0.023450229001247276, 0.15459690136061507, 0.07522891266902877, 0.19228969145195274, 0.0063504797803095965, 0.05812521680293731, 0.014247649866235206, 0.17608655929975844, 0.2429411633401888, -0.1353025399424704, -0.2108590636714125, -0.08074910263925539, 0.17118598852243463] |
709.2449 | Some classes of rational functions and related Banach spaces | For positive integers d, r, and M, we consider the class of rational
functions on real d-dimensional space whose denominators are products of at
most r functions of the form 1+Q(x) where each Q is a quadratic form with
eigenvalues bounded above by M and below by 1/M. Each numerator is a monic
monomial of the same degree as the corresponding denominator. Then we form the
Banach space of countable linear combinations of such rational functions with
absolutely summable coefficients, normed by the infimum of sums of absolute
values of the coefficients. We show that for rational functions whose
denominators are rth powers of a specific 1+Q, or differences of two such
rational functions with the same numerator, the norm is achieved by and only by
the obvious combination of one or two functions respectively. We also find
bounds for coefficients in partial-fraction decompositions of some specific
rational functions, which in some cases are quite sharp.
| math.FA | for positive integers d r and m we consider the class of rational functions on real ddimensional space whose denominators are products of at most r functions of the form 1qx where each q is a quadratic form with eigenvalues bounded above by m and below by 1m each numerator is a monic monomial of the same degree as the corresponding denominator then we form the banach space of countable linear combinations of such rational functions with absolutely summable coefficients normed by the infimum of sums of absolute values of the coefficients we show that for rational functions whose denominators are rth powers of a specific 1q or differences of two such rational functions with the same numerator the norm is achieved by and only by the obvious combination of one or two functions respectively we also find bounds for coefficients in partialfraction decompositions of some specific rational functions which in some cases are quite sharp | [['for', 'positive', 'integers', 'd', 'r', 'and', 'm', 'we', 'consider', 'the', 'class', 'of', 'rational', 'functions', 'on', 'real', 'ddimensional', 'space', 'whose', 'denominators', 'are', 'products', 'of', 'at', 'most', 'r', 'functions', 'of', 'the', 'form', '1qx', 'where', 'each', 'q', 'is', 'a', 'quadratic', 'form', 'with', 'eigenvalues', 'bounded', 'above', 'by', 'm', 'and', 'below', 'by', '1m', 'each', 'numerator', 'is', 'a', 'monic', 'monomial', 'of', 'the', 'same', 'degree', 'as', 'the', 'corresponding', 'denominator', 'then', 'we', 'form', 'the', 'banach', 'space', 'of', 'countable', 'linear', 'combinations', 'of', 'such', 'rational', 'functions', 'with', 'absolutely', 'summable', 'coefficients', 'normed', 'by', 'the', 'infimum', 'of', 'sums', 'of', 'absolute', 'values', 'of', 'the', 'coefficients', 'we', 'show', 'that', 'for', 'rational', 'functions', 'whose', 'denominators', 'are', 'rth', 'powers', 'of', 'a', 'specific', '1q', 'or', 'differences', 'of', 'two', 'such', 'rational', 'functions', 'with', 'the', 'same', 'numerator', 'the', 'norm', 'is', 'achieved', 'by', 'and', 'only', 'by', 'the', 'obvious', 'combination', 'of', 'one', 'or', 'two', 'functions', 'respectively', 'we', 'also', 'find', 'bounds', 'for', 'coefficients', 'in', 'partialfraction', 'decompositions', 'of', 'some', 'specific', 'rational', 'functions', 'which', 'in', 'some', 'cases', 'are', 'quite', 'sharp']] | [-0.16723259797868048, 0.11734904105129142, -0.015131930951517256, 0.04142798488704307, -0.04142173499229454, -0.13565528279530906, 0.00286283437312851, 0.33593472790934387, -0.32594323267694564, -0.18971869852393866, 0.10336239160969854, -0.3121652343821141, -0.1529870212829161, 0.20189547157102836, -0.020027729586487818, 0.057647285835851256, -0.013155328531959845, 0.10975592888651356, -0.12975224012719286, -0.31323928655305455, 0.39829759334604586, -0.07122704939195706, 0.13142384779639543, 0.021869050615256833, 0.13843953840119103, 0.003549176436518469, -0.015308815835704726, -0.015792635766211465, -0.14622640399315823, 0.12534817097287987, 0.2710314551428441, 0.09063403621736553, 0.2975134359913007, -0.3546863928557404, -0.09568708356950552, 0.21277485101393634, 0.12278838756404097, -0.07061744956975623, 0.02382908830824759, -0.1792454755834995, 0.10868470024002055, -0.12621030638364308, -0.1452170490587671, -0.09309396627809732, 0.0699896779181736, 0.12109096513820752, -0.33550827283292045, 0.048082503888027504, 0.06090772433747207, 0.10539381262816248, -0.07228342052098484, -0.2324206321335007, -0.03476698370950837, 0.07305919589594968, 0.007943675893118545, 0.023803109909978606, 0.04539164286407252, -0.1240790069283497, -0.09068684770515369, 0.3534792035517673, -0.08170778698873736, -0.28599685968891264, 0.10351026928833415, -0.2625194253670352, -0.12499933676163276, 0.1200777012374132, 0.10589721470230049, 0.15586206760978508, -0.038623882433579816, 0.16804748087888582, -0.09912905950519828, 0.10951235490971276, 0.14656217156218426, 0.05164240236664491, 0.15706729345143802, -0.024503373598018963, 0.06963776992558832, 0.1459988196861119, 0.04212448911651248, -0.04144079823107008, -0.3722422456909572, -0.1364869819608547, -0.21696677888713536, 0.06641855270737002, -0.16630632935003603, -0.19219808250350218, 0.38345437998763254, -0.011319352430854773, 0.24001863235607743, 0.14631513106080915, 0.23978435085305283, 0.17839908314373104, 0.067190291149722, 0.0438078151099504, 0.12351131558966552, 0.10803659169694349, -0.02461425319854771, -0.12853881293727507, 0.059586411541808514, 0.15715199032706403] |
709.245 | Numerical methods comparison for protostellar collapse calculations | The development of parallel supercomputers allows today the detailed study of
the collapse and the fragmentation of prestellar cores with increasingly
accurate numerical simulations. Thanks to the advances in sub-millimeter
observations, a wide range of observed initial conditions enable us to study
the different modes of low-mass star formation. The challenge for the
simulations is to reproduce the observational results. Two main numerical
methods, namely AMR and SPH, are widely used to simulate the collapse and the
fragmentation of prestellar cores. We compare here thoroughly these two methods
with numerical resolution requirements deduced from previous studies. Our
physical model is as simple as possible, and consists of an isothermal sphere
rotating around the z-axis. We first study the conservation of angular momentum
as a function of the resolution. Then, we explore a wide range of simulation
parameters to study the fragmentation of prestellar cores. There seems to be a
convergence between the two methods, provided resolution in each case is
sufficient. Resolution criteria adapted to our physical cases, in terms of
resolution per Jeans mass, for an accurate description of the formation of
protostellar cores are deduced from the present study. This convergence is
encouraging for future work in simulations of low-mass star formation,
providing the aforementioned criteria are fulfilled.
| astro-ph | the development of parallel supercomputers allows today the detailed study of the collapse and the fragmentation of prestellar cores with increasingly accurate numerical simulations thanks to the advances in submillimeter observations a wide range of observed initial conditions enable us to study the different modes of lowmass star formation the challenge for the simulations is to reproduce the observational results two main numerical methods namely amr and sph are widely used to simulate the collapse and the fragmentation of prestellar cores we compare here thoroughly these two methods with numerical resolution requirements deduced from previous studies our physical model is as simple as possible and consists of an isothermal sphere rotating around the zaxis we first study the conservation of angular momentum as a function of the resolution then we explore a wide range of simulation parameters to study the fragmentation of prestellar cores there seems to be a convergence between the two methods provided resolution in each case is sufficient resolution criteria adapted to our physical cases in terms of resolution per jeans mass for an accurate description of the formation of protostellar cores are deduced from the present study this convergence is encouraging for future work in simulations of lowmass star formation providing the aforementioned criteria are fulfilled | [['the', 'development', 'of', 'parallel', 'supercomputers', 'allows', 'today', 'the', 'detailed', 'study', 'of', 'the', 'collapse', 'and', 'the', 'fragmentation', 'of', 'prestellar', 'cores', 'with', 'increasingly', 'accurate', 'numerical', 'simulations', 'thanks', 'to', 'the', 'advances', 'in', 'submillimeter', 'observations', 'a', 'wide', 'range', 'of', 'observed', 'initial', 'conditions', 'enable', 'us', 'to', 'study', 'the', 'different', 'modes', 'of', 'lowmass', 'star', 'formation', 'the', 'challenge', 'for', 'the', 'simulations', 'is', 'to', 'reproduce', 'the', 'observational', 'results', 'two', 'main', 'numerical', 'methods', 'namely', 'amr', 'and', 'sph', 'are', 'widely', 'used', 'to', 'simulate', 'the', 'collapse', 'and', 'the', 'fragmentation', 'of', 'prestellar', 'cores', 'we', 'compare', 'here', 'thoroughly', 'these', 'two', 'methods', 'with', 'numerical', 'resolution', 'requirements', 'deduced', 'from', 'previous', 'studies', 'our', 'physical', 'model', 'is', 'as', 'simple', 'as', 'possible', 'and', 'consists', 'of', 'an', 'isothermal', 'sphere', 'rotating', 'around', 'the', 'zaxis', 'we', 'first', 'study', 'the', 'conservation', 'of', 'angular', 'momentum', 'as', 'a', 'function', 'of', 'the', 'resolution', 'then', 'we', 'explore', 'a', 'wide', 'range', 'of', 'simulation', 'parameters', 'to', 'study', 'the', 'fragmentation', 'of', 'prestellar', 'cores', 'there', 'seems', 'to', 'be', 'a', 'convergence', 'between', 'the', 'two', 'methods', 'provided', 'resolution', 'in', 'each', 'case', 'is', 'sufficient', 'resolution', 'criteria', 'adapted', 'to', 'our', 'physical', 'cases', 'in', 'terms', 'of', 'resolution', 'per', 'jeans', 'mass', 'for', 'an', 'accurate', 'description', 'of', 'the', 'formation', 'of', 'protostellar', 'cores', 'are', 'deduced', 'from', 'the', 'present', 'study', 'this', 'convergence', 'is', 'encouraging', 'for', 'future', 'work', 'in', 'simulations', 'of', 'lowmass', 'star', 'formation', 'providing', 'the', 'aforementioned', 'criteria', 'are', 'fulfilled']] | [-0.08539640075704526, 0.051002405268012634, -0.08160874570852944, 0.06649880467282077, -0.0622683131701446, -0.028767200652509928, -0.024852595827542245, 0.37953022766326155, -0.1845325308741026, -0.34235693624997066, 0.09147326201643972, -0.19994861744462036, -0.0543644323045945, 0.20492582489581157, 0.00290899499142099, 0.07266803382275006, 0.11362697769488607, -0.06247761491353491, -0.09499086149153299, -0.23580955831566824, 0.33886700798092145, 0.09928193767776801, 0.22178288786478031, 0.04826317828680788, 0.05065820222897899, -0.11207542459569161, -0.06510283336198579, -0.009967442453844774, -0.23406171613979884, 0.06310828510184019, 0.22789797346063312, 0.1409702210066219, 0.2647382554864245, -0.42981277831963133, -0.22023252507316923, 0.048613565031527764, 0.17705438834437656, 0.09657052328277911, -0.0565330041661149, -0.22727450309986516, 0.11816017417586408, -0.16969996077407684, -0.1588091476022133, -0.07013589044411978, 0.011526381748817151, 0.07055067469787207, -0.2766872787820397, 0.08869043350707562, 0.011202303732889482, 0.037475230664547, -0.09764753231318624, -0.09349160587769889, -0.015913268460315606, 0.12748895419839149, 0.020398394430300133, 0.023615975975103322, 0.13299895496817216, -0.13426392320876143, -0.09803068244696728, 0.42807613767328717, -0.008220311203261926, -0.15236722692137672, 0.27468750676406284, -0.1684209860506512, -0.17459204312236537, 0.12184987038906131, 0.1583465526390466, 0.15198007775692357, -0.12827901639088635, -0.023496043705381452, -0.022249456938533557, 0.17495661989697034, 0.06400804971788256, 0.008812296111691034, 0.27417267438999954, 0.2250478505777816, 0.0068127464830121465, 0.13655928378714072, -0.13942670551283906, -0.14203331109962336, -0.28666505257022523, -0.1478545008281279, -0.16009104378698838, 0.04411752019576462, -0.09142909954673434, -0.12620312243345239, 0.34649120775450554, 0.18161139233769583, 0.19638205875332157, 0.0670788080525762, 0.3388592210553941, 0.07274317899608009, 0.08007541455053364, 0.05436884593994667, 0.250478756525332, 0.17924344953526522, 0.13272624591454155, -0.24484025125524828, 0.029900495210174648, 0.000373165582173637] |
709.2451 | Cooling, Gravity and Geometry: Flow-driven Massive Core Formation | We study numerically the formation of molecular clouds in large-scale
colliding flows including self-gravity. The models emphasize the competition
between the effects of gravity on global and local scales in an isolated cloud.
Global gravity builds up large-scale filaments, while local gravity --
triggered by a combination of strong thermal and dynamical instabilities --
causes cores to form. The dynamical instabilities give rise to a local focusing
of the colliding flows, facilitating the rapid formation of massive
protostellar cores of a few 100 M$_\odot$. The forming clouds do not reach an
equilibrium state, though the motions within the clouds appear comparable to
``virial''. The self-similar core mass distributions derived from models with
and without self-gravity indicate that the core mass distribution is set very
early on during the cloud formation process, predominantly by a combination of
thermal and dynamical instabilities rather than by self-gravity.
| astro-ph | we study numerically the formation of molecular clouds in largescale colliding flows including selfgravity the models emphasize the competition between the effects of gravity on global and local scales in an isolated cloud global gravity builds up largescale filaments while local gravity triggered by a combination of strong thermal and dynamical instabilities causes cores to form the dynamical instabilities give rise to a local focusing of the colliding flows facilitating the rapid formation of massive protostellar cores of a few 100 m_odot the forming clouds do not reach an equilibrium state though the motions within the clouds appear comparable to virial the selfsimilar core mass distributions derived from models with and without selfgravity indicate that the core mass distribution is set very early on during the cloud formation process predominantly by a combination of thermal and dynamical instabilities rather than by selfgravity | [['we', 'study', 'numerically', 'the', 'formation', 'of', 'molecular', 'clouds', 'in', 'largescale', 'colliding', 'flows', 'including', 'selfgravity', 'the', 'models', 'emphasize', 'the', 'competition', 'between', 'the', 'effects', 'of', 'gravity', 'on', 'global', 'and', 'local', 'scales', 'in', 'an', 'isolated', 'cloud', 'global', 'gravity', 'builds', 'up', 'largescale', 'filaments', 'while', 'local', 'gravity', 'triggered', 'by', 'a', 'combination', 'of', 'strong', 'thermal', 'and', 'dynamical', 'instabilities', 'causes', 'cores', 'to', 'form', 'the', 'dynamical', 'instabilities', 'give', 'rise', 'to', 'a', 'local', 'focusing', 'of', 'the', 'colliding', 'flows', 'facilitating', 'the', 'rapid', 'formation', 'of', 'massive', 'protostellar', 'cores', 'of', 'a', 'few', '100', 'm_odot', 'the', 'forming', 'clouds', 'do', 'not', 'reach', 'an', 'equilibrium', 'state', 'though', 'the', 'motions', 'within', 'the', 'clouds', 'appear', 'comparable', 'to', 'virial', 'the', 'selfsimilar', 'core', 'mass', 'distributions', 'derived', 'from', 'models', 'with', 'and', 'without', 'selfgravity', 'indicate', 'that', 'the', 'core', 'mass', 'distribution', 'is', 'set', 'very', 'early', 'on', 'during', 'the', 'cloud', 'formation', 'process', 'predominantly', 'by', 'a', 'combination', 'of', 'thermal', 'and', 'dynamical', 'instabilities', 'rather', 'than', 'by', 'selfgravity']] | [-0.16603750484408547, 0.1390132850290581, -0.0891291031377836, 0.0871197532081771, -0.021879604142028053, -0.011757969812811417, 0.014734972940600465, 0.30900848575566014, -0.24805483657499433, -0.3339378676626464, 0.07846862395641617, -0.211283863085145, -0.037839157319903165, 0.14420238478374864, 0.05922900424109326, -0.02038972255524615, 0.06407985840038671, -0.0616318024301403, -0.05793600407278191, -0.21136719554180647, 0.38278120596119214, 0.10733813605546741, 0.21218211867544853, 0.028269986796658486, 0.04686109880051038, -0.11724678190215163, -0.0373141995326183, 0.01242220464070708, -0.14493922227658504, 0.033659822983063865, 0.1194947287725702, 0.07914019478025885, 0.2856858291066396, -0.5109812450057394, -0.26353129880292947, 0.06476870619095075, 0.1923061959137222, 0.1053571396058058, -0.07814514696758738, -0.26297508692696797, 0.071834815918586, -0.20241842929824766, -0.1531839980415895, -0.025569527873992394, 0.04282258658237021, 0.04959088161343407, -0.23905468492729354, 0.1673864998418549, 0.049919417703689836, 0.04783005204009102, -0.10299238476994067, -0.04918503951491185, -0.09965358638945757, 0.07305665730013394, 0.017380111953891275, 0.044806089352252304, 0.2539294737253443, -0.20646706461237455, -0.04124395537491835, 0.44533465868583555, -0.05929703334755097, -0.09222043889187749, 0.3109441360534156, -0.16861913122013736, -0.13542504118702992, 0.16901891952721584, 0.17896261004547417, 0.11396662167168524, -0.11369105081178878, -0.027061948842946177, -0.0023513611432322314, 0.15810014637069067, 0.04932311183976298, 0.013401050425567468, 0.3596419393163647, 0.15718229081232468, 0.05179231495983427, 0.11648108679014192, -0.10346052809503638, -0.18425550531517243, -0.2309355358134063, -0.06999089674119063, -0.09440787124749221, 0.04313234139152255, -0.12048043041698255, -0.1521330799704129, 0.29646826546121074, 0.1253299437296039, 0.2201356948812453, 0.02582930628961267, 0.2931084308935605, 0.05382355503193972, 0.12053409414890577, 0.15853738406850157, 0.28358843470398915, 0.15194081733967374, 0.08936827216284271, -0.2830014573492136, 0.06490075414464153, 0.026915055896404763] |
709.2452 | Besov Spaces and Frames on Compact Manifolds | We show that one can characterize the Besov spaces on a smooth compact
oriented Riemannian manifold, for the full range of indices, through a
knowledge of the size of frame coefficients, using the frames we have
constructed in [8].
| math.FA | we show that one can characterize the besov spaces on a smooth compact oriented riemannian manifold for the full range of indices through a knowledge of the size of frame coefficients using the frames we have constructed in 8 | [['we', 'show', 'that', 'one', 'can', 'characterize', 'the', 'besov', 'spaces', 'on', 'a', 'smooth', 'compact', 'oriented', 'riemannian', 'manifold', 'for', 'the', 'full', 'range', 'of', 'indices', 'through', 'a', 'knowledge', 'of', 'the', 'size', 'of', 'frame', 'coefficients', 'using', 'the', 'frames', 'we', 'have', 'constructed', 'in', '8']] | [-0.12105597130572185, 0.06764099133224824, -0.06659083431795573, 0.0718082553969744, -0.06279906549323828, -0.021780759024505433, -0.02786336972927436, 0.4566939585866072, -0.24377152094474205, -0.24593261390542373, 0.13070854519267017, -0.22326406752929473, -0.09911333937914325, 0.23648579596416452, -0.11833761957211372, 0.01600382276452505, 0.06834681850308791, 0.09317165438849957, -0.1663117865757205, -0.23072308550278345, 0.457294507829759, -0.04663542631822519, 0.23088856261128035, -0.00014448069179287323, 0.15584821153718692, 0.016888621299026105, -0.0396792254386804, 0.059757559321438655, -0.1744390975824596, 0.17269243810994503, 0.25778182320750487, 0.10177709055968966, 0.2292376215545795, -0.3747818578894322, -0.25113565746981364, 0.12525210097336617, 0.0826742192491507, 0.019621670628205325, -0.025769649255567063, -0.27429824554695725, 0.15098737894246975, -0.0985981504408977, -0.125393879504349, -0.09190029030044873, 0.0231208590647349, 0.03673787419803631, -0.2864910036397095, -0.015264543380815154, 0.07870089926589759, 0.062062019165844105, -0.13106406034710696, -0.07845322847461854, -0.023054968422422044, 0.1584633836427178, -0.055578669103292316, 0.04531832627999859, 0.1074845552778779, -0.03835811651646136, -0.12227657010468344, 0.35032463618195975, -0.1372883282124232, -0.292941655497998, 0.14206222208360067, -0.16666599578009203, -0.1258017199161725, 0.12144882647463909, 0.2219425531772849, 0.16719662933013377, -0.08895664738538937, 0.1372826819618543, -0.07022169074760033, 0.17766898383911794, 0.08714848596793719, 0.021976829160195895, 0.13349547284917954, 0.1447380966721819, 0.09350305048820491, 0.12444332558422899, -0.09942601804430477, -0.04504524405824785, -0.3200740090642984, -0.20006302701166043, -0.22469134346987957, 0.0769891686594257, -0.16926443465770438, -0.13461791009952626, 0.40629210074742633, 0.04636615413264968, 0.23444834490043995, 0.09940909014011805, 0.2032343755261256, 0.04205332688676814, 0.07954208072848044, 0.10630244386788362, 0.23465229981602767, 0.11790262119701275, 0.0815739449686729, -0.0967228695920382, -0.03843650065410214, 0.10948951215220568] |
709.2453 | About Superluminal motions and Special Relativity: A Discussion of some
recent Experiments, and the solution of the Causal Paradoxes | Some experiments, performed at Berkeley, Cologne, Florence, Vienna, Orsay,
Rennes, etc., led to the claim that something seems to travel with a group
velocity larger than the speed c of light in vacuum. Various other experimental
results seem to point in the same direction: For instance, localized wavelet-
type solutions to Maxwell equations have been found, both theoretically and
experimentally, that travel with superluminal speed. [Even muonic and
electronic neutrinos [it has been proposed] might be "tachyons", since their
square mass appears to be negative]. With regard to the first-mentioned
experiments, it was recently claimed by Guenter Nimtz that those results with
evanescent waves (or tunneling photons) imply superluminal signal and impulse
transmission, and therefore violate Einstein causality. In this note we want to
stress that, on the contrary, all such results do not place relativistic
causality in jeopardy, even if they referred to actual tachyonic motions: In
fact, Special Relativity can cope even with superluminal objects and waves. For
instance, it is possible (at least in microphysics) to solve also the known
causal paradoxes, devised for faster than light motion, although this is not
widely recognized yet. Here we show, in detail and rigorously, how to solve the
oldest causal paradox, originally proposed by Tolman, which is the kernel of
many further tachyon paradoxes (like J.Bell's, F.A.E.Pirani's, J.D.Edmonds' and
others'). The key to the solution is a careful application of tachyon
mechanics, as it unambiguously follows from special relativity. At Last, in one
of the two Appendices, we propose how to evaluate the group-velocity in the
case of evanescent waves. [PACS nos.: 03.30.+p; 03.50.De; 41.20.Jb; 73.40.Gk;
84.40.Az; 42.82.Et ]
| physics.class-ph physics.gen-ph physics.optics | some experiments performed at berkeley cologne florence vienna orsay rennes etc led to the claim that something seems to travel with a group velocity larger than the speed c of light in vacuum various other experimental results seem to point in the same direction for instance localized wavelet type solutions to maxwell equations have been found both theoretically and experimentally that travel with superluminal speed even muonic and electronic neutrinos it has been proposed might be tachyons since their square mass appears to be negative with regard to the firstmentioned experiments it was recently claimed by guenter nimtz that those results with evanescent waves or tunneling photons imply superluminal signal and impulse transmission and therefore violate einstein causality in this note we want to stress that on the contrary all such results do not place relativistic causality in jeopardy even if they referred to actual tachyonic motions in fact special relativity can cope even with superluminal objects and waves for instance it is possible at least in microphysics to solve also the known causal paradoxes devised for faster than light motion although this is not widely recognized yet here we show in detail and rigorously how to solve the oldest causal paradox originally proposed by tolman which is the kernel of many further tachyon paradoxes like jbells faepiranis jdedmonds and others the key to the solution is a careful application of tachyon mechanics as it unambiguously follows from special relativity at last in one of the two appendices we propose how to evaluate the groupvelocity in the case of evanescent waves pacs nos 0330p 0350de 4120jb 7340gk 8440az 4282et | [['some', 'experiments', 'performed', 'at', 'berkeley', 'cologne', 'florence', 'vienna', 'orsay', 'rennes', 'etc', 'led', 'to', 'the', 'claim', 'that', 'something', 'seems', 'to', 'travel', 'with', 'a', 'group', 'velocity', 'larger', 'than', 'the', 'speed', 'c', 'of', 'light', 'in', 'vacuum', 'various', 'other', 'experimental', 'results', 'seem', 'to', 'point', 'in', 'the', 'same', 'direction', 'for', 'instance', 'localized', 'wavelet', 'type', 'solutions', 'to', 'maxwell', 'equations', 'have', 'been', 'found', 'both', 'theoretically', 'and', 'experimentally', 'that', 'travel', 'with', 'superluminal', 'speed', 'even', 'muonic', 'and', 'electronic', 'neutrinos', 'it', 'has', 'been', 'proposed', 'might', 'be', 'tachyons', 'since', 'their', 'square', 'mass', 'appears', 'to', 'be', 'negative', 'with', 'regard', 'to', 'the', 'firstmentioned', 'experiments', 'it', 'was', 'recently', 'claimed', 'by', 'guenter', 'nimtz', 'that', 'those', 'results', 'with', 'evanescent', 'waves', 'or', 'tunneling', 'photons', 'imply', 'superluminal', 'signal', 'and', 'impulse', 'transmission', 'and', 'therefore', 'violate', 'einstein', 'causality', 'in', 'this', 'note', 'we', 'want', 'to', 'stress', 'that', 'on', 'the', 'contrary', 'all', 'such', 'results', 'do', 'not', 'place', 'relativistic', 'causality', 'in', 'jeopardy', 'even', 'if', 'they', 'referred', 'to', 'actual', 'tachyonic', 'motions', 'in', 'fact', 'special', 'relativity', 'can', 'cope', 'even', 'with', 'superluminal', 'objects', 'and', 'waves', 'for', 'instance', 'it', 'is', 'possible', 'at', 'least', 'in', 'microphysics', 'to', 'solve', 'also', 'the', 'known', 'causal', 'paradoxes', 'devised', 'for', 'faster', 'than', 'light', 'motion', 'although', 'this', 'is', 'not', 'widely', 'recognized', 'yet', 'here', 'we', 'show', 'in', 'detail', 'and', 'rigorously', 'how', 'to', 'solve', 'the', 'oldest', 'causal', 'paradox', 'originally', 'proposed', 'by', 'tolman', 'which', 'is', 'the', 'kernel', 'of', 'many', 'further', 'tachyon', 'paradoxes', 'like', 'jbells', 'faepiranis', 'jdedmonds', 'and', 'others', 'the', 'key', 'to', 'the', 'solution', 'is', 'a', 'careful', 'application', 'of', 'tachyon', 'mechanics', 'as', 'it', 'unambiguously', 'follows', 'from', 'special', 'relativity', 'at', 'last', 'in', 'one', 'of', 'the', 'two', 'appendices', 'we', 'propose', 'how', 'to', 'evaluate', 'the', 'groupvelocity', 'in', 'the', 'case', 'of', 'evanescent', 'waves', 'pacs', 'nos', '0330p', '0350de', '4120jb', '7340gk', '8440az', '4282et']] | [-0.08237229866924911, 0.14189937487961007, -0.1113133778482174, 0.12331196818088826, -0.13797764751451233, -0.176561711778721, 0.0017815197703524833, 0.3738279290461483, -0.22370118285224844, -0.30353164206115674, 0.08569259774969676, -0.2832197264374162, -0.14666075833732836, 0.20549869885659203, -0.08309428150980519, 0.054710471369505215, 0.049842235970292956, 0.05630522715823295, -0.02214882536947978, -0.25506604499040314, 0.2705072773385417, 0.0859302178114796, 0.2701160506721443, 0.06652855142109239, 0.09106605650774258, -0.03268514355698314, -0.011755238665052905, 0.031185805032370038, -0.08659185767375255, 0.029763743901947658, 0.27455290826843476, 0.13296229883920974, 0.2587623244921605, -0.4526271651713894, -0.23551904156875725, 0.10016155089475573, 0.158470949169714, 0.14738785154141415, -0.029710218391958802, -0.29900928977832125, 0.06224120967493106, -0.1352024922756335, -0.15760522507614672, -0.04019786214277981, 0.035825617786031216, -0.04564470739927716, -0.16866828416151783, 0.08304401516249457, 0.020801390148699285, 0.0005993337014493031, -0.049287979281955184, -0.09428536920951536, 0.0012538885245493684, 0.05790428512711794, 0.10699536565494222, 0.02721340177455344, 0.07647857519690521, -0.09571729115310658, -0.12666754730475638, 0.42025056577359254, -0.04627640931878257, -0.19311821322100095, 0.2093508773519156, -0.1730147201523113, -0.12593919726697586, 0.10777879384740327, 0.12123965564936112, 0.0892638656633118, -0.15006644057105475, 0.03007538732199464, -0.04947140517268473, 0.14021700215223692, 0.15385511621044806, 0.036196366402034004, 0.20617306968644977, 0.06310389974387362, 0.023996115127318682, 0.049060038826652226, -0.07543863434828102, -0.08424138119466638, -0.29323467233648093, -0.16214585914276541, -0.14801104950311128, 0.042819164835852394, -0.020983968067146353, -0.1201228571912417, 0.32620810772149034, 0.1955225687026261, 0.10788906222173514, 0.0011128764360014778, 0.2694592004229959, 0.08733760282137575, 0.0876729666819581, 0.11680779569119645, 0.3261826125337393, 0.10961204155598982, 0.1409179484168887, -0.20711080164899334, 0.05396950933186767, 0.024848280293652072] |
709.2454 | Gravitational Fugacity as the seed of self-organized violent relaxaton
process toward Local Virial relation | We propose the self-organized relaxation process which drives a collisionless
self-gravitating system (SGS) to the equilibrium state satisfying local virial
(LV) relation. During the violent relaxation process, particles can move widely
within the time interval as short as a few free fall times, because of the
effective potential oscillations. Since such particle movement causes further
potential oscillations, it is expected that the system approaches the critical
state where such particle activities, which we call gravitational fugacity, is
independent of the local position as much as possible. Here we demonstrate that
gravitational fugacity can be described as the functional of the LV ratio,
which means that the LV ratio is a key ingredient estimating the particle
activities against gravitational potential. We also demonstrate that LV
relation is attained if the LV ratio exceeds the crticaial value $b=1$
everywhere in the bound region during the violent relaxation process. The local
region which does not meet this criterion can be trapped into the pre-saturated
state. However, small phase-space perturbation can bring the inactive part into
the LV critical state.
| astro-ph cond-mat.dis-nn cond-mat.stat-mech | we propose the selforganized relaxation process which drives a collisionless selfgravitating system sgs to the equilibrium state satisfying local virial lv relation during the violent relaxation process particles can move widely within the time interval as short as a few free fall times because of the effective potential oscillations since such particle movement causes further potential oscillations it is expected that the system approaches the critical state where such particle activities which we call gravitational fugacity is independent of the local position as much as possible here we demonstrate that gravitational fugacity can be described as the functional of the lv ratio which means that the lv ratio is a key ingredient estimating the particle activities against gravitational potential we also demonstrate that lv relation is attained if the lv ratio exceeds the crticaial value b1 everywhere in the bound region during the violent relaxation process the local region which does not meet this criterion can be trapped into the presaturated state however small phasespace perturbation can bring the inactive part into the lv critical state | [['we', 'propose', 'the', 'selforganized', 'relaxation', 'process', 'which', 'drives', 'a', 'collisionless', 'selfgravitating', 'system', 'sgs', 'to', 'the', 'equilibrium', 'state', 'satisfying', 'local', 'virial', 'lv', 'relation', 'during', 'the', 'violent', 'relaxation', 'process', 'particles', 'can', 'move', 'widely', 'within', 'the', 'time', 'interval', 'as', 'short', 'as', 'a', 'few', 'free', 'fall', 'times', 'because', 'of', 'the', 'effective', 'potential', 'oscillations', 'since', 'such', 'particle', 'movement', 'causes', 'further', 'potential', 'oscillations', 'it', 'is', 'expected', 'that', 'the', 'system', 'approaches', 'the', 'critical', 'state', 'where', 'such', 'particle', 'activities', 'which', 'we', 'call', 'gravitational', 'fugacity', 'is', 'independent', 'of', 'the', 'local', 'position', 'as', 'much', 'as', 'possible', 'here', 'we', 'demonstrate', 'that', 'gravitational', 'fugacity', 'can', 'be', 'described', 'as', 'the', 'functional', 'of', 'the', 'lv', 'ratio', 'which', 'means', 'that', 'the', 'lv', 'ratio', 'is', 'a', 'key', 'ingredient', 'estimating', 'the', 'particle', 'activities', 'against', 'gravitational', 'potential', 'we', 'also', 'demonstrate', 'that', 'lv', 'relation', 'is', 'attained', 'if', 'the', 'lv', 'ratio', 'exceeds', 'the', 'crticaial', 'value', 'b1', 'everywhere', 'in', 'the', 'bound', 'region', 'during', 'the', 'violent', 'relaxation', 'process', 'the', 'local', 'region', 'which', 'does', 'not', 'meet', 'this', 'criterion', 'can', 'be', 'trapped', 'into', 'the', 'presaturated', 'state', 'however', 'small', 'phasespace', 'perturbation', 'can', 'bring', 'the', 'inactive', 'part', 'into', 'the', 'lv', 'critical', 'state']] | [-0.12116530490190988, 0.18254476353260024, -0.07688794688188604, 0.0731404859923454, -0.04695158011413046, -0.10889284071246429, 0.04800523539872042, 0.28046133374529225, -0.2764745192070093, -0.29255298255809714, 0.10279452583286912, -0.24047187363462788, -0.12714563445986382, 0.15547895516601523, 0.0024807005299122206, 0.020078124850988387, 0.037516169196793014, 0.061563648898154494, -0.017546608305336643, -0.21378830411604471, 0.2715779514264848, 0.06876194704856191, 0.26574821353490863, 0.04937895465908306, 0.0936374004184784, -0.018352588452398778, 0.048988874575921465, 0.06000917774225984, -0.12665799231900435, -0.013273625150322915, 0.19049992541117328, 0.12546124870917993, 0.28952937467822004, -0.4342278431608741, -0.20410539780543852, 0.14430463186864342, 0.2194606025610119, 0.08580360998798695, -0.03149471553774284, -0.24911521897252117, 0.06074605497930731, -0.1673351140147341, -0.13744029884359665, -0.046874334891991956, 0.076165993538286, 0.017075013890197235, -0.2749453123738723, 0.15573872956879703, 0.0693839629260557, -0.032983103193608775, -0.07799098805125271, -0.06750150405269649, -0.033608503980296, 0.11404872444325259, 0.044044908018549905, 0.08415670861756162, 0.2473737046122551, -0.13168563767070215, -0.043195485110793796, 0.4117165377310344, -0.06256371367190565, -0.16776326850987971, 0.2027245348445805, -0.15352553197847946, -0.0901239467625107, 0.1153892458230257, 0.145672525692332, 0.08572588026523591, -0.1567178999153631, 0.06485154019406764, -0.011834746208041907, 0.15967941390882645, 0.025629808664587993, 0.018881436233807888, 0.25945210074207614, 0.15750915715870048, 0.08297248988811459, 0.1044187779658075, -0.11852560247427651, -0.1269815618282051, -0.32014923105282445, -0.14938838435503254, -0.17847146424930543, 0.03864665102221936, -0.07784009552361178, -0.15087374501196402, 0.3846501253651721, 0.14510805184287684, 0.19609366221087318, 0.014432177413254976, 0.279802377681647, 0.1692192721406796, 0.0743651287949511, 0.07770997236881937, 0.28757152459983315, 0.06435452946860876, 0.08091006677065576, -0.24286138549713152, 0.09625489064758377, 0.09606979780830444] |
709.2455 | Existence of a multiplicative basis for a finitely spaced module over an
aggregate | By [R. Bautista, P. Gabriel, A.V Roiter., L. Salmeron, Representation-finite
algebras and multiplicative basis. Invent. Math. 81 (1985) 217-285.], a
finite-dimensional algebra having finitely many isoclasses of indecomposable
representations admits a multiplicative basis. In Sections 4.10-4.12 of [P.
Gabriel, A. V. Roiter, Representations of finite-dimensional algebras.
Encyclopaedia of Math. Sci., vol. 73, Algebra 8, Springer-Verlag, 1992] an
analogous hypothesis was formulated for finitely spaced modules over an
aggregate. We prove this conjecture.
| math.RT | by r bautista p gabriel av roiter l salmeron representationfinite algebras and multiplicative basis invent math 81 1985 217285 a finitedimensional algebra having finitely many isoclasses of indecomposable representations admits a multiplicative basis in sections 410412 of p gabriel a v roiter representations of finitedimensional algebras encyclopaedia of math sci vol 73 algebra 8 springerverlag 1992 an analogous hypothesis was formulated for finitely spaced modules over an aggregate we prove this conjecture | [['by', 'r', 'bautista', 'p', 'gabriel', 'av', 'roiter', 'l', 'salmeron', 'representationfinite', 'algebras', 'and', 'multiplicative', 'basis', 'invent', 'math', '81', '1985', '217285', 'a', 'finitedimensional', 'algebra', 'having', 'finitely', 'many', 'isoclasses', 'of', 'indecomposable', 'representations', 'admits', 'a', 'multiplicative', 'basis', 'in', 'sections', '410412', 'of', 'p', 'gabriel', 'a', 'v', 'roiter', 'representations', 'of', 'finitedimensional', 'algebras', 'encyclopaedia', 'of', 'math', 'sci', 'vol', '73', 'algebra', '8', 'springerverlag', '1992', 'an', 'analogous', 'hypothesis', 'was', 'formulated', 'for', 'finitely', 'spaced', 'modules', 'over', 'an', 'aggregate', 'we', 'prove', 'this', 'conjecture']] | [-0.15461553264395805, 0.024862396791054314, -0.07635956253532482, -0.0009166157966398674, -0.08498781807450713, -0.18077625573167336, -0.03547083154536676, 0.3410603627562523, -0.35531850789160724, -0.25381501423923863, 0.03682892915516066, -0.22460711541909562, -0.15611630436319832, 0.16960501079650028, -0.2269706259333137, -0.051775765274583864, 0.06684913167702979, 0.04293014165823874, -0.023152808861240097, -0.37880159236922645, 0.24987978606984235, 0.003643574915232434, 0.18151533675879455, -0.024762514264970694, 0.1304920647914211, 0.10397784188841099, -0.11278904493614707, -0.08290006339792973, -0.18365645814902973, 0.10626143746185994, 0.41499087098392023, 0.0506247016398803, 0.29636452540728275, -0.26519749231258594, -0.018128954049577747, 0.21543530556980683, 0.09411650662566873, -0.06381856028557471, 0.07872374044339833, -0.2972271697514731, 0.09438834765055419, -0.28531226010966126, -0.09337129702359653, -0.028174313419646976, 0.3236255818788988, -0.05871487039046875, -0.30010824401498487, 0.0820185450939934, 0.19213530151308447, 0.2632724087435644, -0.11322140028916192, -0.18231000879482515, -0.10734095733504796, -0.04771882585803236, -0.21978505013807528, 0.07908611201370756, 0.07788714230148311, 0.0006973509427052045, -0.2586580505999534, 0.2838165557578854, 0.030288088769800423, -0.17016759023502254, 0.1854838842013176, -0.09113514774978376, -0.15198629205047653, 0.15098833122317665, 0.04233409191711225, 0.08779473888917246, -0.06033120718717143, 0.33963780373628455, -0.23844363015361023, 0.015892483513343377, 0.23577985340270444, -0.08166004749743835, 0.07550390361744128, 0.03387692425420265, -0.03625924747008695, 0.0523360638703773, 0.08980673289709333, 0.04771248439488852, -0.33142801888449036, -0.19671329728368184, -0.08911895149292937, 0.222142313266227, -0.0646003560967443, -0.130556279739392, 0.3287412442698859, 0.041959028475094536, 0.1141821278286153, 0.12446277838983182, 0.027403723691468655, 0.05028165033276098, 0.010804993599869204, 0.1779790082136574, 0.0839608155420401, 0.3277391978451793, -0.0011916866313423152, -0.009659962789358004, -0.11981637333857192, 0.2422052878562523] |
709.2456 | Holographic Cosmological Constant and Dark Energy | A general holographic relation between UV and IR cutoff of an effective field
theory is proposed. Taking the IR cutoff relevant to the dark energy as the
Hubble scale, we find that the cosmological constant is highly suppressed by a
numerical factor and the fine tuning problem seems alleviative. We also use
different IR cutoffs to study the case in which the universe is composed of
matter and dark energy.
| hep-th astro-ph | a general holographic relation between uv and ir cutoff of an effective field theory is proposed taking the ir cutoff relevant to the dark energy as the hubble scale we find that the cosmological constant is highly suppressed by a numerical factor and the fine tuning problem seems alleviative we also use different ir cutoffs to study the case in which the universe is composed of matter and dark energy | [['a', 'general', 'holographic', 'relation', 'between', 'uv', 'and', 'ir', 'cutoff', 'of', 'an', 'effective', 'field', 'theory', 'is', 'proposed', 'taking', 'the', 'ir', 'cutoff', 'relevant', 'to', 'the', 'dark', 'energy', 'as', 'the', 'hubble', 'scale', 'we', 'find', 'that', 'the', 'cosmological', 'constant', 'is', 'highly', 'suppressed', 'by', 'a', 'numerical', 'factor', 'and', 'the', 'fine', 'tuning', 'problem', 'seems', 'alleviative', 'we', 'also', 'use', 'different', 'ir', 'cutoffs', 'to', 'study', 'the', 'case', 'in', 'which', 'the', 'universe', 'is', 'composed', 'of', 'matter', 'and', 'dark', 'energy']] | [-0.09552028330474877, 0.14463868801523358, -0.11115454519302517, 0.14411803988058228, -0.1027836250613673, -0.09445642944141898, -0.0038263688380222607, 0.3873733740731858, -0.2311562428628837, -0.36073112053175765, 0.043441183198634804, -0.23603729293614195, -0.07811514518318186, 0.14817711575955583, 0.0035203303601862726, -0.007040890831284333, -0.05999997355367826, -0.005395745966529501, -0.045789337544904454, -0.21705671228414428, 0.388792232333588, 0.14980343046287695, 0.24991122039331906, 0.08208159753458871, 0.07242537265562493, -0.02950312378073948, -0.05170627478240193, 0.046340692599398506, -0.18421870174506036, 0.09075015141338488, 0.19447842196466913, 0.046976182609796524, 0.23831699349229102, -0.366573509287791, -0.24875788772613674, 0.1360587062638091, 0.15584453144043253, 0.1000563389186383, -0.053055132374815316, -0.20646280970464906, 0.02382971734598117, -0.14034163321543863, -0.11928402216079226, -0.052225203131851944, -0.0014722225833279283, -0.06898038197592225, -0.2834172314505322, 0.10176343878855983, -0.05789207950558351, -0.03248357490056019, -0.09731924312486165, -0.0464995807438306, -0.0013186779629061189, 0.05269938984048971, 0.11911816528215464, 0.04043497527490599, 0.15730770698923996, -0.196713633592362, -0.02771453587743251, 0.395784265888126, -0.13102218623448542, -0.10809450936706169, 0.18689393854794512, -0.0933155534532515, -0.10288163206364581, 0.11227742248160792, 0.07122248729717905, 0.11288859778880209, -0.13198061263107735, 0.16629184982013903, -0.014643731736240612, 0.24345449436509956, 0.0659511506665444, 0.08885830171504125, 0.25747790128208586, 0.17617760883623976, 0.042077110594381455, 0.08829849888233171, -0.078979245238546, -0.06432688441397487, -0.36515885623900785, -0.11353037536036277, -0.1805741609465601, 0.050524292399, -0.1662460057719938, -0.13469270656587204, 0.3566832418378065, 0.11947882121455843, 0.2097294393967351, 0.03041504493718832, 0.2845474390609973, 0.14984638965182492, 0.06762041730900714, 0.07664362591542843, 0.3179133431176129, 0.06188865555652782, 0.11548048332063617, -0.28178908310803596, -0.09568473202702792, 0.042027312303906765] |
709.2457 | Global analysis of hadron-production data in e^+ e^- annihilation for
determining fragmentation functions | Fragmentation functions of pion, kaon, and nucleon are determined by global
analyses of hadron-production data in $e^+e^-$ annihilation. It is particularly
important that uncertainties of the fragmentation functions are estimated for
the first time. We found that light-quark and gluon fragmentation functions
have large uncertainties, so that one should be careful in using these
functions for hadron-production processes in heavy-ion collisions and lepton
scattering. The analysis is extended to possible exotic hadron search by
fragmentation functions. We found that internal structure of $f_0 (980)$, such
as $s\bar s$ or tetraquark configuration, can be determined by noting
differences between favored and disfavored fragmentation functions.
| hep-ph hep-ex nucl-ex nucl-th | fragmentation functions of pion kaon and nucleon are determined by global analyses of hadronproduction data in ee annihilation it is particularly important that uncertainties of the fragmentation functions are estimated for the first time we found that lightquark and gluon fragmentation functions have large uncertainties so that one should be careful in using these functions for hadronproduction processes in heavyion collisions and lepton scattering the analysis is extended to possible exotic hadron search by fragmentation functions we found that internal structure of f_0 980 such as sbar s or tetraquark configuration can be determined by noting differences between favored and disfavored fragmentation functions | [['fragmentation', 'functions', 'of', 'pion', 'kaon', 'and', 'nucleon', 'are', 'determined', 'by', 'global', 'analyses', 'of', 'hadronproduction', 'data', 'in', 'ee', 'annihilation', 'it', 'is', 'particularly', 'important', 'that', 'uncertainties', 'of', 'the', 'fragmentation', 'functions', 'are', 'estimated', 'for', 'the', 'first', 'time', 'we', 'found', 'that', 'lightquark', 'and', 'gluon', 'fragmentation', 'functions', 'have', 'large', 'uncertainties', 'so', 'that', 'one', 'should', 'be', 'careful', 'in', 'using', 'these', 'functions', 'for', 'hadronproduction', 'processes', 'in', 'heavyion', 'collisions', 'and', 'lepton', 'scattering', 'the', 'analysis', 'is', 'extended', 'to', 'possible', 'exotic', 'hadron', 'search', 'by', 'fragmentation', 'functions', 'we', 'found', 'that', 'internal', 'structure', 'of', 'f_0', '980', 'such', 'as', 'sbar', 's', 'or', 'tetraquark', 'configuration', 'can', 'be', 'determined', 'by', 'noting', 'differences', 'between', 'favored', 'and', 'disfavored', 'fragmentation', 'functions']] | [-0.056609310673151926, 0.251736477469501, -0.12880318297199833, 0.2065125289621754, -0.023552513997820976, -0.05970338696740495, 0.020916001077795638, 0.38488399456209926, -0.1987421679473256, -0.2138513763191052, -0.0006525545433000888, -0.27090911106522947, -0.022772654739561155, 0.1367967364839414, 0.13036504574572144, 0.128381149884024, 0.10457016662378045, -0.07688681968460673, -0.05388595310810646, -0.20242809917827506, 0.39987100768400335, 0.0542930620903312, 0.17731497967525303, 0.17192144006789092, -0.006088120663918338, 0.01910982568843236, -0.09300159849678573, -0.04475814347309105, -0.11693313326918321, 0.039398483264325546, 0.2673710715997675, 0.1428326845024396, 0.12633640137365432, -0.3649903525478541, -0.14943414772815497, 0.1419346083715124, 0.19658232209932747, 0.054759849251691, -0.009640966908264798, -0.2694031844024085, 0.10946878266421337, -0.20844029701310346, -0.1346350051779119, -0.1483518115190554, 0.05696145481954428, 0.04610349548058313, -0.3544357560503803, 0.1033954206872189, -0.03816384755219649, 0.006693295257401119, -0.029417961270738285, -0.24215976927131053, -0.11048907233691475, 0.039924255140505516, 0.10908063000646755, 0.11973609790676137, 0.19749817064538308, -0.16925539028970976, -0.1415327609317757, 0.40562215485402103, 0.002258205420147736, -0.19952390079999124, 0.13254611627470014, -0.20920767759434084, -0.1621373061868317, 0.13884953066742825, 0.19281022466755318, 0.07582353925540393, -0.1993179589569867, 0.057906335407361675, -0.033204671122061394, 0.161752064332583, 0.13498876064798784, 0.07398145871906026, 0.2068850684558376, 0.18042664340181838, -0.04528977124029499, 0.08055878514921275, -0.04233629973571368, -0.08838167151004456, -0.37494482573808974, -0.050783468388898065, -0.12246828797517471, 0.06005169153982068, -0.049506024389134415, -0.08504953847302901, 0.3220049781878524, 0.06272589409886634, 0.26535979550087696, -0.050127774169578136, 0.2881644370025295, 0.11710514246996999, 0.11943367875795674, 0.07811775151188079, 0.27907825778554946, 0.10828863849944788, 0.09812653330561605, -0.2353599613568592, 0.08609383508056692, 0.015315798418686806] |
709.2458 | Positivity criteria generalizing the leading principal minors criterion | For each Hermitian matrix, we prove that instead of the leading principal
minors some of their sums can be used in the leading principal minors criterion
and in other inertia problems.
| math.RT | for each hermitian matrix we prove that instead of the leading principal minors some of their sums can be used in the leading principal minors criterion and in other inertia problems | [['for', 'each', 'hermitian', 'matrix', 'we', 'prove', 'that', 'instead', 'of', 'the', 'leading', 'principal', 'minors', 'some', 'of', 'their', 'sums', 'can', 'be', 'used', 'in', 'the', 'leading', 'principal', 'minors', 'criterion', 'and', 'in', 'other', 'inertia', 'problems']] | [-0.1461769642248269, 0.09156738597178651, -0.07524064255337562, 0.03776560315201359, -0.056651891960251714, -0.12580977230062407, -0.04622518325284604, 0.32656213148467, -0.34316128384201755, -0.18505821491201077, 0.20046914880344224, -0.2719643504448956, -0.17928828046687187, 0.15448377653956413, -0.07607157321106042, 0.06434442727796492, 0.05156678529155831, 0.10381122095690619, -0.12827565418105694, -0.2689605129642352, 0.3468423061553509, -0.04638354432198309, 0.17463276018538781, 0.08303738589729032, 0.02300281981884074, 0.007975310597929263, -0.047773439827705586, 0.011216560949481303, -0.026438637555158143, 0.1315046887799737, 0.30892013782455074, 0.13491873379286018, 0.2577539022651411, -0.45869832894494456, -0.08900018123489234, 0.26293338375586656, 0.15277479090277227, 0.044606581660768675, 0.11161352675257911, -0.22452888265252113, 0.11205445890945773, -0.17044366613751458, -0.14344164233414397, -0.1214477623617577, -0.00356451109532387, 0.02020401663837894, -0.2837665232589408, 0.09730726964170894, 0.11873374128293607, 0.05300360554528813, -0.019544281471039978, -0.25024980279586967, 0.001611533304375987, 0.10454767802730203, 0.07073132165016667, -0.13046058678939457, 0.09795011503381594, -0.05765244821386953, -0.1409030484576379, 0.39833202140946544, -0.01676419553076548, -0.2451209868154218, 0.05898937402713683, -0.12037231761120981, -0.18307289673436072, 0.10803930188018468, 0.15906750921520493, 0.14490221999210096, -0.07299153753105671, 0.05273051283344807, -0.09044930365897956, 0.04836271943584565, 0.07881755033327688, -0.00581452609490483, 0.1994452035475162, 0.010302209625801733, 0.08970781791234209, 0.13114403094908583, -0.02211671052200179, -0.008135220095995934, -0.31218207279039967, -0.2096008551457236, -0.20837338097513683, 0.06906734394931024, -0.2496114125951276, -0.20972457011380502, 0.42013610923482525, 0.1344012089839746, 0.19971333528237958, 0.08602881467630787, 0.21336775573511277, 0.10329749477246115, 0.07679576792513891, 0.059422841415770596, 0.2336336141048495, 0.2793307812704194, -0.03197916519016989, -0.15216233719500802, 0.10645934653979156, 0.18053496550888784] |
709.2459 | Quantum theory of the low-frequency linear susceptibility of
interferometer-type superconducting qubits | We use the density matrix formalism to analyze the interaction of
interferometer-type superconducting qubits with a high quality tank circuit,
which frequency is well below the gap frequency of a qubit. We start with the
ground state characterization of the superconducting flux and charge qubits.
Then, by making use of a dressed state approach we describe the qubits'
spectroscopy when the qubit is irradiated by a microwave field which is tuned
to the gap frequency. The last section of the paper is devoted to continuous
monitoring of qubit states by using a DC SQUID in the inductive mode.
| cond-mat.supr-con cond-mat.mes-hall | we use the density matrix formalism to analyze the interaction of interferometertype superconducting qubits with a high quality tank circuit which frequency is well below the gap frequency of a qubit we start with the ground state characterization of the superconducting flux and charge qubits then by making use of a dressed state approach we describe the qubits spectroscopy when the qubit is irradiated by a microwave field which is tuned to the gap frequency the last section of the paper is devoted to continuous monitoring of qubit states by using a dc squid in the inductive mode | [['we', 'use', 'the', 'density', 'matrix', 'formalism', 'to', 'analyze', 'the', 'interaction', 'of', 'interferometertype', 'superconducting', 'qubits', 'with', 'a', 'high', 'quality', 'tank', 'circuit', 'which', 'frequency', 'is', 'well', 'below', 'the', 'gap', 'frequency', 'of', 'a', 'qubit', 'we', 'start', 'with', 'the', 'ground', 'state', 'characterization', 'of', 'the', 'superconducting', 'flux', 'and', 'charge', 'qubits', 'then', 'by', 'making', 'use', 'of', 'a', 'dressed', 'state', 'approach', 'we', 'describe', 'the', 'qubits', 'spectroscopy', 'when', 'the', 'qubit', 'is', 'irradiated', 'by', 'a', 'microwave', 'field', 'which', 'is', 'tuned', 'to', 'the', 'gap', 'frequency', 'the', 'last', 'section', 'of', 'the', 'paper', 'is', 'devoted', 'to', 'continuous', 'monitoring', 'of', 'qubit', 'states', 'by', 'using', 'a', 'dc', 'squid', 'in', 'the', 'inductive', 'mode']] | [-0.16815229699246048, 0.19585315789067254, 0.0023930315648388, -0.03695752438080987, -0.013960921762453527, -0.1544755359813955, 0.12610880653349893, 0.3936217008638628, -0.19406166712071785, -0.3074725423411457, 0.0546518456582076, -0.27004329793001575, -0.05488657511617105, 0.20791407726397834, -0.0087675261455252, 0.08145119603627275, 0.039280676964632014, 0.03505936056164276, -0.0788432257345964, -0.170147767518503, 0.35319853380092026, 0.049598971563007334, 0.3112594588592495, 0.030603207042920834, 0.10219447789041652, -0.01589020040635135, 0.08419109941892249, -0.01777573280305285, -0.09254864249474455, 0.09543517320212841, 0.2865715248242606, 0.052750539562674524, 0.23987978102024837, -0.4530161855569513, -0.17629830215663947, 0.04706536517622545, 0.0940037327548537, 0.16074297355113493, 0.011015650777856713, -0.3059231700260461, 0.028421870719631846, -0.19571841406376705, -0.1070359446463588, -0.06639711326708268, -0.013684064875952131, -0.009959222979305946, -0.24328259007102743, 0.028098034816458055, 0.04984679644100474, 0.03358354093026869, -0.028846147345359792, -0.021571653439020066, 0.023281768317209538, 0.08518472861062937, -0.029839514159434234, 0.052053950878205836, 0.18382453707709295, -0.11216573243763912, -0.10674655686622274, 0.25503017710877063, -0.08483058236750592, -0.1329857330174022, 0.1233922086233638, -0.14967150966992082, -0.018152409521190776, 0.09656766524596005, 0.10092924516071979, 0.08613911617460862, -0.17510463962689662, 0.09758525689014896, 0.04023581973070605, 0.25879462687394666, 0.06044367144662004, 0.07440358638936251, 0.20381837407338252, 0.21153899013621674, 0.09990659600949471, 0.2214358507693966, -0.11055146765261505, -0.026431106563811143, -0.2844931867319284, -0.165486881032698, -0.2502777610275986, 0.0927764668331011, 0.018113148874109947, -0.15892635600775787, 0.48455145380930187, 0.12512703798111222, 0.1761699913300036, -0.026950442825069594, 0.34992580694751335, 0.17430273929284407, 0.06460713953279036, 0.03879981719739927, 0.25776482366995174, 0.2310038429046453, 0.10489716043830224, -0.3056017159407517, -0.014883235572194009, 0.006707251136738462] |
709.246 | The problems of classifying pairs of forms and local algebras with zero
cube radical are wild | We prove that over an algebraically closed field of characteristic not two
the problems of classifying pairs of sesquilinear forms in which the second is
Hermitian, pairs of bilinear forms in which the second is symmetric
(skew-symmetric), and local algebras with zero cube radical and square radical
of dimension 2 are hopeless since each of them reduces to the problem of
classifying pairs of n-by-n matrices up to simultaneous similarity.
| math.RT | we prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is hermitian pairs of bilinear forms in which the second is symmetric skewsymmetric and local algebras with zero cube radical and square radical of dimension 2 are hopeless since each of them reduces to the problem of classifying pairs of nbyn matrices up to simultaneous similarity | [['we', 'prove', 'that', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'not', 'two', 'the', 'problems', 'of', 'classifying', 'pairs', 'of', 'sesquilinear', 'forms', 'in', 'which', 'the', 'second', 'is', 'hermitian', 'pairs', 'of', 'bilinear', 'forms', 'in', 'which', 'the', 'second', 'is', 'symmetric', 'skewsymmetric', 'and', 'local', 'algebras', 'with', 'zero', 'cube', 'radical', 'and', 'square', 'radical', 'of', 'dimension', '2', 'are', 'hopeless', 'since', 'each', 'of', 'them', 'reduces', 'to', 'the', 'problem', 'of', 'classifying', 'pairs', 'of', 'nbyn', 'matrices', 'up', 'to', 'simultaneous', 'similarity']] | [-0.19717997826103653, 0.08267070625297493, -0.0013173206576279231, 0.02582707845805479, -0.06176179162492709, -0.15516965642039265, -0.036529778063829454, 0.34397862779774835, -0.35687040223607, -0.19110725365712175, 0.07335255783649959, -0.27017246490743546, -0.13629125861584077, 0.17539289534158473, -0.03212971256247588, -0.03321101861074567, 0.013953075571251767, 0.16220691867970993, -0.16082977478591992, -0.3549959036920752, 0.4418572830834559, -0.03978853687710528, 0.20233868890042817, 0.030951999211018637, 0.11720133584125765, 0.007562546684805836, -0.0216854312058006, -0.025281649987612453, -0.025041118943253032, 0.15638036094439614, 0.2951289135563586, 0.11607959914420332, 0.2498080810798066, -0.3687691151031426, -0.10160776155867747, 0.2379374500364065, 0.1280510810004281, 0.03934610611426511, 0.015781071802069033, -0.26175797532445616, 0.14010191012972167, -0.143682234082371, -0.11259820165910892, -0.043396783407245364, 0.09751062999379688, 0.008251266394342696, -0.3022919351301555, 0.07795439071820251, 0.11590035679442476, 0.106126619436379, -0.09324414786616607, -0.11731587197365505, 0.00015720793578241553, 0.10403358972065949, -0.0039188308973929714, -0.007742243004031479, 0.055071944550478036, -0.0892505452702088, -0.13944416298264903, 0.3625492320329483, -0.04062198645302228, -0.21218056562024035, 0.15501828065940312, -0.1593630555285407, -0.08267358331941069, 0.1672254426404834, 0.1223016235644796, 0.13090756442397833, -0.10362954477646522, 0.1265930280604932, -0.12696957970038056, 0.11110000733252881, 0.08561020961164363, -0.02000341364182532, 0.14680199782929515, 0.04833712104175772, 0.11759194505534001, 0.1383921585444893, -0.006304318867374345, -0.10678497333428823, -0.30744176326053485, -0.23865605176293425, -0.16073402093191233, 0.10901689423335484, -0.10052143601392995, -0.20554125998169184, 0.4307014419830271, 0.054729119169392756, 0.2239032033830881, 0.06783306600326407, 0.2225274871901742, 0.06978746997192502, 0.13859554953607064, 0.05246019569624748, 0.12035184601055725, 0.2262470156220453, -0.031958000117447226, -0.1533874271246272, -0.034909179820013896, 0.1477574701487486] |
709.2461 | A Logic of Injectivity | Injectivity of objects with respect to a set $\ch$ of morphisms is an
important concept of algebra, model theory and homotopy theory. Here we study
the logic of injectivity consequences of $\ch$, by which we understand
morphisms $h$ such that injectivity with respect to $\ch$ implies injectivity
with respect to $h$. We formulate three simple deduction rules for the
injectivity logic and for its finitary version where \mor s between finitely
ranked objects are considered only, and prove that they are sound in all
categories, and complete in all "reasonable" categories.
| math.CT | injectivity of objects with respect to a set ch of morphisms is an important concept of algebra model theory and homotopy theory here we study the logic of injectivity consequences of ch by which we understand morphisms h such that injectivity with respect to ch implies injectivity with respect to h we formulate three simple deduction rules for the injectivity logic and for its finitary version where mor s between finitely ranked objects are considered only and prove that they are sound in all categories and complete in all reasonable categories | [['injectivity', 'of', 'objects', 'with', 'respect', 'to', 'a', 'set', 'ch', 'of', 'morphisms', 'is', 'an', 'important', 'concept', 'of', 'algebra', 'model', 'theory', 'and', 'homotopy', 'theory', 'here', 'we', 'study', 'the', 'logic', 'of', 'injectivity', 'consequences', 'of', 'ch', 'by', 'which', 'we', 'understand', 'morphisms', 'h', 'such', 'that', 'injectivity', 'with', 'respect', 'to', 'ch', 'implies', 'injectivity', 'with', 'respect', 'to', 'h', 'we', 'formulate', 'three', 'simple', 'deduction', 'rules', 'for', 'the', 'injectivity', 'logic', 'and', 'for', 'its', 'finitary', 'version', 'where', 'mor', 's', 'between', 'finitely', 'ranked', 'objects', 'are', 'considered', 'only', 'and', 'prove', 'that', 'they', 'are', 'sound', 'in', 'all', 'categories', 'and', 'complete', 'in', 'all', 'reasonable', 'categories']] | [-0.10234649757762532, 0.06385273314071538, -0.03484568759225882, 0.09704173692619776, -0.09594523835579281, -0.16384123728845965, 0.012105343011361394, 0.3985084589611698, -0.33826796913130597, -0.25591801717342644, 0.10466718926237753, -0.24041096857943378, -0.09076267737731501, 0.1583512502717325, -0.1786743585982329, 0.000756656187509729, 0.04593453341378616, 0.11549752792036468, -0.04674580605357762, -0.2210010832385416, 0.377835631536852, -0.008786514206983885, 0.17895978832909878, 0.07340757414227822, 0.08139450207434512, -0.021063691716395563, -0.044927978555538824, 0.07379004005138036, -0.15170932919951796, 0.14588416222441983, 0.31381370750470805, 0.16398899638155415, 0.2328405238196745, -0.3818550925538108, -0.10339961980807257, 0.14938400017486497, 0.05945511042539563, 0.016171216303329138, 0.007669446593314246, -0.2781089921123706, 0.14656875433482147, -0.16684971907902713, -0.0864241571871789, -0.10699680176497038, 0.14441029496163457, 0.041937510577634306, -0.2201319847378757, -0.025956786549803646, 0.1754937313681284, 0.12167259891118322, -0.12155245766580965, -0.060018626983267265, -0.07877451912909336, 0.08250600899375238, -0.006952425765620729, 0.007364934307758461, 0.11843354314831751, -0.07719407824205828, -0.11467585950107365, 0.4288235133575214, -0.053775756271903986, -0.20140670364784016, 0.20948055052392922, -0.12717033484131918, -0.19760849311497514, 0.07530581913274395, 0.05103350803256035, 0.15447313602563445, -0.07703083826249445, 0.1295473962167667, -0.11959887828145709, 0.1440630248225816, 0.13410541386558458, 0.07156935885835153, 0.15915454329492953, 0.11488034791609907, 0.09208867753149716, 0.14904897124762392, 0.041371633273109304, -0.03396843460255435, -0.3694114717603712, -0.1835106601273375, -0.035269853873894766, 0.04798443301243114, -0.08626537191730177, -0.16594693365578467, 0.3507169953619058, 0.14788362917561942, 0.1880285645643848, 0.1693581789540086, 0.23377092183659692, 0.04474224072799808, 0.05573047123910798, 0.026192123014070503, 0.17499347091498937, 0.2693443356496333, -0.004451940204579751, -0.11549850384152116, 0.02050505832840617, 0.18804684031120206] |
709.2462 | Plasma mechanisms of resonant terahertz detection in two-dimensional
electron channel with split gates | We analyze the operation of a resonant detector of terahertz (THz) radiation
based on a two-dimensional electron gas (2DEG) channel with split gates. The
side gates are used for the excitation of plasma oscillations by incoming THz
radiation and control of the resonant plasma frequencies. The central gate
provides the potential barrier separating the source and drain portions of the
2DEG channel. Two possible mechanisms of the detection are considered: (1)
modulation of the ac potential drop across the barrier and (2) heating of the
2DEG due to the resonant plasma-assisted absorption of THz radiation followed
by an increase in thermionic dc current through the barrier. Using the device
model we calculate the frequency and temperature dependences of the detector
responsivity associated with both dynamic and heating (bolometric) mechanisms.
It is shown that the dynamic mechanisms dominates at elevated temperatures,
whereas the heating mechanism provides larger contribution at low temperatures,
T=35-40 K.
| cond-mat.other | we analyze the operation of a resonant detector of terahertz thz radiation based on a twodimensional electron gas 2deg channel with split gates the side gates are used for the excitation of plasma oscillations by incoming thz radiation and control of the resonant plasma frequencies the central gate provides the potential barrier separating the source and drain portions of the 2deg channel two possible mechanisms of the detection are considered 1 modulation of the ac potential drop across the barrier and 2 heating of the 2deg due to the resonant plasmaassisted absorption of thz radiation followed by an increase in thermionic dc current through the barrier using the device model we calculate the frequency and temperature dependences of the detector responsivity associated with both dynamic and heating bolometric mechanisms it is shown that the dynamic mechanisms dominates at elevated temperatures whereas the heating mechanism provides larger contribution at low temperatures t3540 k | [['we', 'analyze', 'the', 'operation', 'of', 'a', 'resonant', 'detector', 'of', 'terahertz', 'thz', 'radiation', 'based', 'on', 'a', 'twodimensional', 'electron', 'gas', '2deg', 'channel', 'with', 'split', 'gates', 'the', 'side', 'gates', 'are', 'used', 'for', 'the', 'excitation', 'of', 'plasma', 'oscillations', 'by', 'incoming', 'thz', 'radiation', 'and', 'control', 'of', 'the', 'resonant', 'plasma', 'frequencies', 'the', 'central', 'gate', 'provides', 'the', 'potential', 'barrier', 'separating', 'the', 'source', 'and', 'drain', 'portions', 'of', 'the', '2deg', 'channel', 'two', 'possible', 'mechanisms', 'of', 'the', 'detection', 'are', 'considered', '1', 'modulation', 'of', 'the', 'ac', 'potential', 'drop', 'across', 'the', 'barrier', 'and', '2', 'heating', 'of', 'the', '2deg', 'due', 'to', 'the', 'resonant', 'plasmaassisted', 'absorption', 'of', 'thz', 'radiation', 'followed', 'by', 'an', 'increase', 'in', 'thermionic', 'dc', 'current', 'through', 'the', 'barrier', 'using', 'the', 'device', 'model', 'we', 'calculate', 'the', 'frequency', 'and', 'temperature', 'dependences', 'of', 'the', 'detector', 'responsivity', 'associated', 'with', 'both', 'dynamic', 'and', 'heating', 'bolometric', 'mechanisms', 'it', 'is', 'shown', 'that', 'the', 'dynamic', 'mechanisms', 'dominates', 'at', 'elevated', 'temperatures', 'whereas', 'the', 'heating', 'mechanism', 'provides', 'larger', 'contribution', 'at', 'low', 'temperatures', 't3540', 'k']] | [-0.16890460026098897, 0.17993984256328674, -0.011114375576352245, -0.005993945338294552, 0.009262820827583505, -0.183365273647109, 0.08561245717157591, 0.4031470569208363, -0.2514597968316316, -0.3134093451874935, 0.02204772831165904, -0.2887793196309728, -0.04829836728988795, 0.26573903688433154, 0.03817279322307236, 0.022365119746139903, -0.06117520360306942, -0.07689999354562248, -0.008000483115385626, -0.14319325133923763, 0.2672438425789063, 0.12876292288192356, 0.3113442136850578, 0.15170912442432827, 0.10833635373929182, -0.03138399528746574, 0.029840642796052214, -0.062425293404584296, -0.09989837055349536, 0.01430477567374805, 0.2516314926285864, -0.023982151143178837, 0.2035514026886432, -0.4631901439526026, -0.23740177098291598, -0.0013571747891691249, 0.10967817069328119, 0.09791186183617012, -0.09179433355484133, -0.20313076646258402, 0.03055808393728753, -0.16842140888622562, -0.07755515676929264, 0.04781667053674823, 0.009678092146822751, 0.015510312910654292, -0.26936495029336666, 0.07422162808897283, 0.04566600585405696, 0.02817078417056049, -0.1038537208786518, -0.09808614355086392, -0.04499748429832425, 0.06945478639546905, -0.009641090354771162, 0.022112576830638758, 0.287493756589856, -0.1419706551048948, -0.09800578627137109, 0.31692273988749287, -0.07182155166203712, -0.0647996056220488, 0.19102513394395618, -0.2068162192929758, 0.05154116083451528, 0.23453979065259364, 0.13965472600589326, 0.08174022578014468, -0.15973442023086504, 0.0442863078816834, 0.08096073549364181, 0.156121042018158, 0.11764531833002505, 0.08125027949730589, 0.2679700849343412, 0.18492268159714165, 0.03925488709120561, 0.1787474302309781, -0.18976139663202096, -0.0021455968296099823, -0.2762166310027735, -0.09099215938284105, -0.14246828757251137, 0.03880016707710379, -0.051668747192050564, -0.1555042767483627, 0.44734655870186374, 0.17499070853883067, 0.15576699701298202, -0.03690946383562883, 0.3718118313083191, 0.1879727310521855, 0.09610314407564749, 0.05881937785846619, 0.267785115938461, 0.17725600592255444, 0.11796228465506968, -0.330733208883159, 0.045240441472917205, -0.05478822346776724] |
709.2463 | Problems of classifying associative or Lie algebras and triples of
symmetric or skew-symmetric matrices are wild | We prove that the problems of classifying triples of symmetric or
skew-symmetric matrices up to congruence, local commutative associative
algebras with zero cube radical and square radical of dimension 3, and Lie
algebras with central commutator subalgebra of dimension 3 are hopeless since
each of them reduces to the problem of classifying pairs of n-by-n matrices up
to simultaneous similarity.
| math.RT | we prove that the problems of classifying triples of symmetric or skewsymmetric matrices up to congruence local commutative associative algebras with zero cube radical and square radical of dimension 3 and lie algebras with central commutator subalgebra of dimension 3 are hopeless since each of them reduces to the problem of classifying pairs of nbyn matrices up to simultaneous similarity | [['we', 'prove', 'that', 'the', 'problems', 'of', 'classifying', 'triples', 'of', 'symmetric', 'or', 'skewsymmetric', 'matrices', 'up', 'to', 'congruence', 'local', 'commutative', 'associative', 'algebras', 'with', 'zero', 'cube', 'radical', 'and', 'square', 'radical', 'of', 'dimension', '3', 'and', 'lie', 'algebras', 'with', 'central', 'commutator', 'subalgebra', 'of', 'dimension', '3', 'are', 'hopeless', 'since', 'each', 'of', 'them', 'reduces', 'to', 'the', 'problem', 'of', 'classifying', 'pairs', 'of', 'nbyn', 'matrices', 'up', 'to', 'simultaneous', 'similarity']] | [-0.1659214329129706, 0.05633360841311515, 0.04850345387433966, 0.026189664906511704, -0.09009944605641067, -0.20742474347352982, -0.01815350060351193, 0.3680215335140626, -0.39508672927816707, -0.2027971451325963, 0.11759893272537739, -0.2956374051049352, -0.08997771599097178, 0.11700409507999818, -0.09284025762851039, -0.016640406179552276, 0.06737154064079126, 0.16305851467574636, -0.18001391659878815, -0.3342387160907189, 0.4547733074054122, -0.009873037513655921, 0.1779394545437147, -0.0035031401125403742, 0.1378593782351042, 0.017617588195328913, -0.05293151804556449, -0.021641169550518195, -0.04460663890216286, 0.1630644367057054, 0.3180429792031646, 0.09631352687332158, 0.21616738239924113, -0.3431590020656586, -0.04614416128024459, 0.2655174046754837, 0.16421642119530588, 0.0016666843323037029, 0.027193005677933493, -0.25925421477295457, 0.1615529158928742, -0.2133205075437824, -0.1440142918843776, -0.05526630032497148, 0.1378857523823778, -0.027680505998432636, -0.27797769627844293, 0.11331624234250436, 0.11631664226248782, 0.14632905217198033, -0.08291386282847574, -0.1455061946529895, -0.018895669413420062, 0.10943072989272574, -0.0634678654683133, -0.03724460308537043, 0.11894631231358896, -0.03995916984664897, -0.20096231886806587, 0.37534571839496494, 0.050642087652037544, -0.20261889044583464, 0.15061630209287008, -0.2083256882780309, -0.1268703150174891, 0.12824491661352416, 0.0732654188061133, 0.08764469143934547, -0.03630679457758864, 0.16570184090912032, -0.13027401675159733, 0.08425014264842806, 0.1227028008007134, -0.019888571952469646, 0.11112146750092507, 0.058825246430933474, 0.10699626980349422, 0.12075485816846292, 0.058510240496737725, -0.01293994051811751, -0.27894275821745396, -0.20983396112763633, -0.11731673511676491, 0.17219066206986705, -0.16161383480405977, -0.1884601290648182, 0.39563489546999336, 0.11343819593312218, 0.17589508378878235, 0.10852931338983278, 0.17203625215139862, 0.02947797899444898, 0.17740567048701147, 0.0701042277428011, 0.06768565055293342, 0.3104234643280506, -0.05942486308825513, -0.12320386396410564, -0.1169932933912302, 0.2185585066365699] |
709.2464 | An ultrametric version of the Maillet-Malgrange theorem for nonlinear
q-difference equations | We prove an ultrametric q-difference version of the Maillet-Malgrange
theorem, on the Gevrey nature of formal solutions of nonlinear analytic
q-difference equations. Since \deg_q and \ord_q define two valuations on
{\mathbb C}(q), we obtain, in particular, a result on the growth of the degree
in q and the order at q of formal solutions of nonlinear q-difference
equations, when q is a parameter. We illustrate the main theorem by considering
two examples: a q-deformation of ``Painleve' II'', for the nonlinear situation,
and a q-difference equation satisfied by the colored Jones polynomials of the
figure 8 knots, in the linear case.
We consider also a q-analog of the Maillet-Malgrange theorem, both in the
complex and in the ultrametric setting, under the assumption that |q|=1 and a
classical diophantine condition.
| math.CA math.NT math.QA | we prove an ultrametric qdifference version of the mailletmalgrange theorem on the gevrey nature of formal solutions of nonlinear analytic qdifference equations since deg_q and ord_q define two valuations on mathbb cq we obtain in particular a result on the growth of the degree in q and the order at q of formal solutions of nonlinear qdifference equations when q is a parameter we illustrate the main theorem by considering two examples a qdeformation of painleve ii for the nonlinear situation and a qdifference equation satisfied by the colored jones polynomials of the figure 8 knots in the linear case we consider also a qanalog of the mailletmalgrange theorem both in the complex and in the ultrametric setting under the assumption that q1 and a classical diophantine condition | [['we', 'prove', 'an', 'ultrametric', 'qdifference', 'version', 'of', 'the', 'mailletmalgrange', 'theorem', 'on', 'the', 'gevrey', 'nature', 'of', 'formal', 'solutions', 'of', 'nonlinear', 'analytic', 'qdifference', 'equations', 'since', 'deg_q', 'and', 'ord_q', 'define', 'two', 'valuations', 'on', 'mathbb', 'cq', 'we', 'obtain', 'in', 'particular', 'a', 'result', 'on', 'the', 'growth', 'of', 'the', 'degree', 'in', 'q', 'and', 'the', 'order', 'at', 'q', 'of', 'formal', 'solutions', 'of', 'nonlinear', 'qdifference', 'equations', 'when', 'q', 'is', 'a', 'parameter', 'we', 'illustrate', 'the', 'main', 'theorem', 'by', 'considering', 'two', 'examples', 'a', 'qdeformation', 'of', 'painleve', 'ii', 'for', 'the', 'nonlinear', 'situation', 'and', 'a', 'qdifference', 'equation', 'satisfied', 'by', 'the', 'colored', 'jones', 'polynomials', 'of', 'the', 'figure', '8', 'knots', 'in', 'the', 'linear', 'case', 'we', 'consider', 'also', 'a', 'qanalog', 'of', 'the', 'mailletmalgrange', 'theorem', 'both', 'in', 'the', 'complex', 'and', 'in', 'the', 'ultrametric', 'setting', 'under', 'the', 'assumption', 'that', 'q1', 'and', 'a', 'classical', 'diophantine', 'condition']] | [-0.2032412862819102, 0.01023582839658798, -0.09500698037704246, 0.07196952674504635, -0.07680754112966713, -0.14086031272918695, -0.007139145477955777, 0.23370830168104953, -0.3072525893471071, -0.21022512953698871, 0.08672706339700473, -0.2602654427201265, -0.18827339289857756, 0.22513489923920363, -0.09640941780710978, 0.05369625182171899, 0.010204868631378289, 0.07092018901473945, -0.08882542744108904, -0.2886817303933351, 0.41345032337786897, -0.07025548047755682, 0.1869049197920258, 0.013993630358960391, 0.13139228995460722, 0.024399012526763336, -0.01806332446664335, -0.04440383964942561, -0.1821623027700832, 0.0798573133402637, 0.2616191779869416, 0.06609030344176091, 0.2631845272160948, -0.35474129838662016, -0.11277248697828442, 0.14090462477271637, 0.1177352339607693, 0.03513119838732694, -0.0068199678614277335, -0.2732772619578071, 0.08655213803562913, -0.1619673999062682, -0.21609073247583138, -0.04640739477084329, 0.049761703163976705, 0.07552534339086538, -0.29706819770517684, 0.07644041774157871, 0.1782223905643655, 0.0836436167684576, -0.08021869614631646, -0.07757586309878481, -0.009550874792261138, -0.005902263613755903, 0.0016249153496963637, -0.011399841835973637, -0.003067597270100599, -0.151410488347109, -0.11922214483280504, 0.37817683980046285, -0.06411002143304648, -0.272917697427883, 0.09692532914627847, -0.16366488175717966, -0.18020607517950887, 0.07608862798882737, 0.1366174998988826, 0.14699924558341976, -0.07775920069102468, 0.18966844491429613, -0.10191980103725597, 0.12070118097056236, 0.13077474163756483, -0.002218940450499455, 0.08942375196853564, 0.059687764871688115, 0.05342952735973374, 0.1776921012557097, 0.034867119995714534, -0.11504938541763714, -0.35265626024042757, -0.17770478229910608, -0.13065378671504616, 0.11671051277320772, -0.18278071328585077, -0.1500267529054471, 0.4030359528278784, 0.08460693314647494, 0.1484540127132768, 0.10691204321171556, 0.22302430578958363, 0.18987605101355012, -0.01710087515132886, 0.03256693320156681, 0.1657200130848362, 0.1980361466246125, 0.09597513709025132, -0.1771990797696783, 0.00550449825823307, 0.20424264540067977] |
709.2465 | Biquandle longitude invariant of long virtual knots | It is known that the number of biquandle colorings of a long virtual knot
diagram, with a fixed color of the initial arc, is a knot invariant. In this
paper we describe a more subtle invariant: a family of biquandle endomorphisms
obtained from the set of colorings and longitudinal information.
| math.GT | it is known that the number of biquandle colorings of a long virtual knot diagram with a fixed color of the initial arc is a knot invariant in this paper we describe a more subtle invariant a family of biquandle endomorphisms obtained from the set of colorings and longitudinal information | [['it', 'is', 'known', 'that', 'the', 'number', 'of', 'biquandle', 'colorings', 'of', 'a', 'long', 'virtual', 'knot', 'diagram', 'with', 'a', 'fixed', 'color', 'of', 'the', 'initial', 'arc', 'is', 'a', 'knot', 'invariant', 'in', 'this', 'paper', 'we', 'describe', 'a', 'more', 'subtle', 'invariant', 'a', 'family', 'of', 'biquandle', 'endomorphisms', 'obtained', 'from', 'the', 'set', 'of', 'colorings', 'and', 'longitudinal', 'information']] | [-0.2591662640008144, 0.16695068715140224, -0.15512860851362348, 0.09404603907139972, -0.10468272012192756, -0.1252471339609474, 0.06167636065045372, 0.3636868938058615, -0.3126799264550209, -0.31035508431494235, 0.059641149442177264, -0.24342247180640697, -0.18008133228868245, 0.14430033084005117, -0.1620965797547251, 0.039119241156149655, 0.08585535364225506, 0.10818486042320728, -0.06054950520861894, -0.2069995226059109, 0.3776545155793428, -0.07397818312048912, 0.16670637987554074, 0.05687621168093756, 0.11073835676535965, 0.029597558751702308, -0.07382841385900975, 0.079033397808671, -0.16778020764308166, 0.10762695915997028, 0.22163259591907264, 0.08355618324130773, 0.13150500476360322, -0.28100085448473694, -0.12870818288996816, 0.1451743391365744, 0.10240641625598074, 0.08706796925514937, -0.045468854593636934, -0.2706092973984778, 0.08384013809263706, -0.20131595907732844, -0.149227888090536, -0.024199463669210674, 0.07936255247332155, 0.018420101888477803, -0.19210786171257496, -0.04199257947737351, 0.06129968244582415, 0.12783300302922726, 0.036217843238264325, -0.05395930113270879, -0.07192238570656627, 0.12714061873033644, 0.0005724816676229239, 0.13335184028139338, 0.06856768720783293, -0.18040109037887306, -0.15900858014822006, 0.42212416245019996, -0.026526636718772353, -0.2104175066947937, 0.14761494405567646, -0.14125131614506245, -0.2095053470414132, 0.21103008300065995, 0.06600192246958614, 0.15740442265756427, -0.1074367787502706, 0.07208411121624522, -0.20810446652583778, 0.11952442266047, 0.1007459066156298, 0.05531186661683023, 0.18739768482744693, 0.09758992600254715, 0.09801965123973787, 0.2305721725523472, -0.06772731229662896, -0.029928606059402226, -0.3288154163956642, -0.19850003579631448, -0.15510377689730376, 0.08851113382726908, -0.08627826434065355, -0.2218114942498505, 0.4783401497453451, 0.07560851111265947, 0.19460140213835986, 0.11407031929120422, 0.2852666205726564, 0.024944031050254126, 0.09882954005151987, 0.10207011932507157, 0.06654200645163655, 0.1402303830347955, 0.0018041102401912213, -0.15214879031758755, 0.0018552973959594964, 0.1620801062695682] |
709.2466 | Littlewood's algorithm and quaternion matrices | A strengthened form of Schur's triangularization theorem is given for
quaternion matrices with real spectrum (for complex matrices it was given by
Littlewood). Littlewood's algorithm for reducing a complex matrix to a
canonical form under unitary similarity is extended to quaternion matrices
whose eigenvalues have geometric multiplicity 1.
| math.RT | a strengthened form of schurs triangularization theorem is given for quaternion matrices with real spectrum for complex matrices it was given by littlewood littlewoods algorithm for reducing a complex matrix to a canonical form under unitary similarity is extended to quaternion matrices whose eigenvalues have geometric multiplicity 1 | [['a', 'strengthened', 'form', 'of', 'schurs', 'triangularization', 'theorem', 'is', 'given', 'for', 'quaternion', 'matrices', 'with', 'real', 'spectrum', 'for', 'complex', 'matrices', 'it', 'was', 'given', 'by', 'littlewood', 'littlewoods', 'algorithm', 'for', 'reducing', 'a', 'complex', 'matrix', 'to', 'a', 'canonical', 'form', 'under', 'unitary', 'similarity', 'is', 'extended', 'to', 'quaternion', 'matrices', 'whose', 'eigenvalues', 'have', 'geometric', 'multiplicity', '1']] | [-0.1261315915811186, 0.08772143286963303, -0.10375016438774765, 0.10371219815472917, -0.09242059344736238, -0.1818731170593916, -0.02162897423598527, 0.34344249513621133, -0.2712895907073592, -0.23063449442270212, 0.09853141642330836, -0.23280676260280112, -0.23386844360114387, 0.16174918199734142, -0.0968321567052044, 0.08911480327757697, 0.06250124411599245, 0.09067368499624233, -0.1750995222343287, -0.29016335056318593, 0.3662365374038927, 0.02899504070713495, 0.15381932607366858, 0.0013753250883989192, 0.09998404761427082, 0.061920636604099855, -0.014706430054502562, -0.08214039805655678, -0.002945440588518977, 0.14288482089856794, 0.2914436066833635, 0.17769790780342495, 0.2207813096853594, -0.3402813277207315, -0.13854121917393059, 0.24200693698367104, 0.10961247761345778, -0.009933665142549822, -0.03011432764469646, -0.30951733624290984, 0.1607231114997679, -0.12752500186131024, -0.17251110541595457, -0.11365829181643979, 0.09525654994649813, -0.043346235334562756, -0.37151110063617426, 0.1077123243206491, 0.10246652853675187, 0.09227803996054718, -0.02393967640819028, -0.2011443335795775, 0.09993232282189031, 0.05703406877000816, -0.040930160136971004, -0.009204961902772387, 0.0888675320117424, 0.0056581383881469565, -0.08125346573069692, 0.3454810248222202, 0.029187893611378968, -0.31534140817044926, 0.07134278110849361, -0.12475462045404129, -0.16210596513701603, 0.16430361685343087, 0.10875914719266196, 0.05980439472477883, -0.10001092607853934, 0.1774274538232324, -0.1791063035101009, 0.11814061626015852, 0.1458019101022122, -0.05606532719684765, 0.1073059529880993, -0.004324195634884139, 0.11592585032243126, 0.12252196296079394, 0.08933526316347222, -0.0994915329598977, -0.2125621884673213, -0.2318051499678404, -0.28078286213955533, 0.16816494085651357, -0.17858201047056355, -0.1967613248464962, 0.41130121936051484, -0.012820464471587911, 0.21199572301945105, 0.09910784422633394, 0.20570581075541364, 0.1754748435729804, 0.08335926296422258, 0.03297957490819196, 0.06588779893354513, 0.33857344667679473, 0.04319703118138326, -0.10323387886940812, -0.009560291218804196, 0.20210546521896808] |
709.2467 | Resonant Excitation of Disk Oscillations in Deformed Disks II: A Model
of High Frequency QPOs | The amplification of disk oscillations resulting from nonlinear resonant
couplings between the oscillations and a disk deformation is examined. The disk
is geometrically thin and general relativistic with a non-rotating central
source. A Lagrangian formulation is adopted. The author examined the same
problem a few years ago, but here we derive a general stability criterion in a
more perspective way. Another distinct point from the previous work is that in
addition to the case where the deformation is a warp, the case where the
deformation is a one-armed pattern symmetric with respect to the equatorial
plane is considered. The results obtained show that in addition to the previous
results that the inertial-acoustic mode and g-mode oscillations are amplified
by horizontal resonance in warped disks, they also amplified by horizontal
resonance in disks deformed by one-armed pattern symmetric with respect to the
equatorial plane. If we consider local oscillations that are localized around
boundaries of their propagation region, the resonance occurs at $4r_{\rm g}$,
where $r_{\rm g}$ is the Schwarzschild radius. If nonlocal oscillations are
considered, frequency ranges of oscillations where oscillations are resonantly
amplified are specified.
| astro-ph | the amplification of disk oscillations resulting from nonlinear resonant couplings between the oscillations and a disk deformation is examined the disk is geometrically thin and general relativistic with a nonrotating central source a lagrangian formulation is adopted the author examined the same problem a few years ago but here we derive a general stability criterion in a more perspective way another distinct point from the previous work is that in addition to the case where the deformation is a warp the case where the deformation is a onearmed pattern symmetric with respect to the equatorial plane is considered the results obtained show that in addition to the previous results that the inertialacoustic mode and gmode oscillations are amplified by horizontal resonance in warped disks they also amplified by horizontal resonance in disks deformed by onearmed pattern symmetric with respect to the equatorial plane if we consider local oscillations that are localized around boundaries of their propagation region the resonance occurs at 4r_rm g where r_rm g is the schwarzschild radius if nonlocal oscillations are considered frequency ranges of oscillations where oscillations are resonantly amplified are specified | [['the', 'amplification', 'of', 'disk', 'oscillations', 'resulting', 'from', 'nonlinear', 'resonant', 'couplings', 'between', 'the', 'oscillations', 'and', 'a', 'disk', 'deformation', 'is', 'examined', 'the', 'disk', 'is', 'geometrically', 'thin', 'and', 'general', 'relativistic', 'with', 'a', 'nonrotating', 'central', 'source', 'a', 'lagrangian', 'formulation', 'is', 'adopted', 'the', 'author', 'examined', 'the', 'same', 'problem', 'a', 'few', 'years', 'ago', 'but', 'here', 'we', 'derive', 'a', 'general', 'stability', 'criterion', 'in', 'a', 'more', 'perspective', 'way', 'another', 'distinct', 'point', 'from', 'the', 'previous', 'work', 'is', 'that', 'in', 'addition', 'to', 'the', 'case', 'where', 'the', 'deformation', 'is', 'a', 'warp', 'the', 'case', 'where', 'the', 'deformation', 'is', 'a', 'onearmed', 'pattern', 'symmetric', 'with', 'respect', 'to', 'the', 'equatorial', 'plane', 'is', 'considered', 'the', 'results', 'obtained', 'show', 'that', 'in', 'addition', 'to', 'the', 'previous', 'results', 'that', 'the', 'inertialacoustic', 'mode', 'and', 'gmode', 'oscillations', 'are', 'amplified', 'by', 'horizontal', 'resonance', 'in', 'warped', 'disks', 'they', 'also', 'amplified', 'by', 'horizontal', 'resonance', 'in', 'disks', 'deformed', 'by', 'onearmed', 'pattern', 'symmetric', 'with', 'respect', 'to', 'the', 'equatorial', 'plane', 'if', 'we', 'consider', 'local', 'oscillations', 'that', 'are', 'localized', 'around', 'boundaries', 'of', 'their', 'propagation', 'region', 'the', 'resonance', 'occurs', 'at', '4r_rm', 'g', 'where', 'r_rm', 'g', 'is', 'the', 'schwarzschild', 'radius', 'if', 'nonlocal', 'oscillations', 'are', 'considered', 'frequency', 'ranges', 'of', 'oscillations', 'where', 'oscillations', 'are', 'resonantly', 'amplified', 'are', 'specified']] | [-0.1779770583147183, 0.16689317213824473, -0.04936004394816386, 0.05648015554415414, -0.09572154778383068, -0.09617260675373915, -0.021023381113804675, 0.3580395619510799, -0.25484506608289037, -0.2518192043546839, 0.0992669061625477, -0.2664914895453163, -0.13303071976312109, 0.1917754577132999, -0.038269226971818636, -0.017597958080571244, 0.05197799764825283, 0.03222429595031851, -0.04847142056348054, -0.15497529591257508, 0.3244512140348151, 0.047661997493658514, 0.22373245279682247, -0.034977599892079374, 0.009093871571688372, -0.06059239413589239, 0.03314984433000555, 0.026434417990212504, -0.16196895192473235, 0.04480306344496942, 0.20846323974531245, 0.03296819876036229, 0.23377680519746769, -0.4128777355861825, -0.2165750583935831, 0.06237990090472473, 0.18972739140452766, 0.11428349821048009, -0.04846982946658721, -0.256009919390183, 0.08504642588086427, -0.13468141795664623, -0.16968756104139862, 0.01769324373894346, 0.06845246666689982, -0.021384436078369616, -0.2737708987054616, 0.1345073875730442, 0.10565222858174426, 0.04832335063130469, -0.05699912233756402, -0.036419493109742934, -0.07334246269200702, 0.042760831835000096, 0.08297620449857031, 0.06477443181179665, 0.17465368808322662, -0.08092656501669537, -0.05621365847418437, 0.3815309857603515, -0.09291801660888391, -0.20182665985555867, 0.15862740690039623, -0.23179990332243283, -0.06302843488803184, 0.13639857840875313, 0.1441144334303366, 0.15658923046713746, -0.1042499378200847, 0.07357627140213358, -0.06663261901813786, 0.14287864291187805, 0.13793795656765231, -0.005694587153030207, 0.25864482915683373, 0.117923226286783, 0.06281449493347994, 0.14236316083099793, -0.12989223322805923, -0.10588129336215757, -0.30149051197678656, -0.039693871096431, -0.11314894735382089, 0.016206588586037223, -0.05614920628258669, -0.13905893235240838, 0.3929777494354828, 0.05229424391621472, 0.22584330586943072, -0.019672352547098166, 0.2838576353683665, 0.13054427064049082, 0.0717159165944149, 0.10291125787472402, 0.34348991463162204, 0.17637229275361105, 0.06762928144976409, -0.23420750521803024, 0.0013948137538406897, 0.02382284066312619] |
709.2468 | Adjoint cohomology of graded Lie algebras of maximal class | We compute explicitly the adjoint cohomology of two N-graded Lie algebras of
maximal class (infinite dimensional filiform Lie algebras) m_0 and m_2. It is
known that up to an isomorphism there are only three N-graded Lie algebras of
the maximal class. The third algebra from this list is the "positive" part L_1
of the Witt (or Virasoro) algebra and its adjoint cohomology was computed
earlier by Feigin and Fukhs. We show that the total space H*(m_j,m_j) is
"almost" isomorphic to the completed tensor product of the algebra m_j by
scalar cohomology space H^*(m_j), j=0,2.
| math.RA math.RT | we compute explicitly the adjoint cohomology of two ngraded lie algebras of maximal class infinite dimensional filiform lie algebras m_0 and m_2 it is known that up to an isomorphism there are only three ngraded lie algebras of the maximal class the third algebra from this list is the positive part l_1 of the witt or virasoro algebra and its adjoint cohomology was computed earlier by feigin and fukhs we show that the total space hm_jm_j is almost isomorphic to the completed tensor product of the algebra m_j by scalar cohomology space hm_j j02 | [['we', 'compute', 'explicitly', 'the', 'adjoint', 'cohomology', 'of', 'two', 'ngraded', 'lie', 'algebras', 'of', 'maximal', 'class', 'infinite', 'dimensional', 'filiform', 'lie', 'algebras', 'm_0', 'and', 'm_2', 'it', 'is', 'known', 'that', 'up', 'to', 'an', 'isomorphism', 'there', 'are', 'only', 'three', 'ngraded', 'lie', 'algebras', 'of', 'the', 'maximal', 'class', 'the', 'third', 'algebra', 'from', 'this', 'list', 'is', 'the', 'positive', 'part', 'l_1', 'of', 'the', 'witt', 'or', 'virasoro', 'algebra', 'and', 'its', 'adjoint', 'cohomology', 'was', 'computed', 'earlier', 'by', 'feigin', 'and', 'fukhs', 'we', 'show', 'that', 'the', 'total', 'space', 'hm_jm_j', 'is', 'almost', 'isomorphic', 'to', 'the', 'completed', 'tensor', 'product', 'of', 'the', 'algebra', 'm_j', 'by', 'scalar', 'cohomology', 'space', 'hm_j', 'j02']] | [-0.21495905603476606, 0.09739650702657265, -0.016461702964299326, 0.0553606950203315, -0.16134818936032908, -0.11836445493787363, -0.08088275734437528, 0.36593105445441965, -0.3763704138633969, -0.21443339214138277, 0.17676289805855888, -0.242718899115961, -0.12658144148056405, 0.14370526634105532, -0.1225132394152192, -0.06134728755824943, 0.061526509743838845, 0.1890676785362782, -0.13493946310808205, -0.3341885620298294, 0.4627637534484185, -0.05446113605860744, 0.1706130951924434, -0.02143468937048545, 0.15384647028602577, -0.017889082172097497, -0.02899052719534426, -0.0822580601709158, -0.1506851766174365, 0.12266403558321175, 0.32456672683890375, 0.047865887745641746, 0.1753869653784332, -0.28601080368037574, -0.025787823003266458, 0.22942509490019222, 0.16299699028380787, -0.043181425845762206, 0.008911843027837657, -0.26000229756419474, 0.11374683908298311, -0.281865376405991, -0.10470174743210549, -0.07000688513597617, 0.10397167370020115, -0.11022195247626239, -0.21439524167882545, 0.049754256674262524, 0.07551956270913501, 0.1075906977057457, -0.1325552542092647, -0.13166673737833953, -0.17028888276263887, 0.06063008039504044, -0.05424877881215742, 0.029368133032131573, 0.12410049521169819, -0.032128161877143624, -0.1835893182446003, 0.35587846328105244, 0.0021497103907577282, -0.19677594469880666, 0.09754984502956926, -0.20539309942562664, -0.17721688674742375, 0.11162139004567168, -0.014974633615545846, 0.1577963031480437, -0.04185132725307575, 0.2513871670446031, -0.1482384295642867, -0.011774839370276083, 0.09323610095716603, -0.05211149136136685, 0.14137864987887852, 0.055434409160535415, 0.07045526209973045, 0.11213606691172162, 0.0933057987642894, -0.025622856662516576, -0.3959149066563491, -0.20524126153495573, -0.14176844447789774, 0.15014848830741268, -0.13044236595745604, -0.12902394701614156, 0.3913040855326332, 0.1011321067798545, 0.16845684064677557, 0.13244237868463274, 0.2082338233857037, 0.09202415099019533, 0.18684873162707374, 0.07180550229316066, 0.158765900184165, 0.31333791190799287, -0.039385674541795646, -0.15227900541919684, -0.12346886565581291, 0.2807563857206113] |
709.2469 | Estimate of the number of one-parameter families of modules over a tame
algebra | The problem of classifying modules over a tame algebra A reduces to a block
matrix problem of tame type whose indecomposable canonical matrices are zero-
or one-parameter. Respectively, the set of nonisomorphic indecomposable modules
of dimension at most d divides into a finite number f(d,A) of modules and
one-parameter series of modules.
We prove that the number of m-by-n canonical parametric block matrices with a
given partition into blocks is bounded by 4^s, where s is the number of free
entries (which is at most mn), and estimate the number f(d,A).
| math.RT | the problem of classifying modules over a tame algebra a reduces to a block matrix problem of tame type whose indecomposable canonical matrices are zero or oneparameter respectively the set of nonisomorphic indecomposable modules of dimension at most d divides into a finite number fda of modules and oneparameter series of modules we prove that the number of mbyn canonical parametric block matrices with a given partition into blocks is bounded by 4s where s is the number of free entries which is at most mn and estimate the number fda | [['the', 'problem', 'of', 'classifying', 'modules', 'over', 'a', 'tame', 'algebra', 'a', 'reduces', 'to', 'a', 'block', 'matrix', 'problem', 'of', 'tame', 'type', 'whose', 'indecomposable', 'canonical', 'matrices', 'are', 'zero', 'or', 'oneparameter', 'respectively', 'the', 'set', 'of', 'nonisomorphic', 'indecomposable', 'modules', 'of', 'dimension', 'at', 'most', 'd', 'divides', 'into', 'a', 'finite', 'number', 'fda', 'of', 'modules', 'and', 'oneparameter', 'series', 'of', 'modules', 'we', 'prove', 'that', 'the', 'number', 'of', 'mbyn', 'canonical', 'parametric', 'block', 'matrices', 'with', 'a', 'given', 'partition', 'into', 'blocks', 'is', 'bounded', 'by', '4s', 'where', 's', 'is', 'the', 'number', 'of', 'free', 'entries', 'which', 'is', 'at', 'most', 'mn', 'and', 'estimate', 'the', 'number', 'fda']] | [-0.15778962611783665, 0.12502613293447093, 0.01286371242111692, -0.01406108240141523, -0.052300039919318406, -0.1701423488403824, -0.011103984484049891, 0.27984990814066196, -0.34158193921046026, -0.20701539883860848, 0.10833598612961205, -0.29173849539442376, -0.12433229447380834, 0.16641354893723115, -0.06718737217546492, -0.012264906316176875, 0.05696581167956957, 0.1403519907086105, -0.09142306337777811, -0.3007402541167052, 0.37792332218652896, -0.04376719930915387, 0.22139854434427325, -0.03523070208093786, 0.16667705671452396, 0.05255091892923791, -0.03028357604129629, 0.004572500832951986, -0.061329412374246974, 0.12222012149036995, 0.3439410360796111, 0.1503316451396261, 0.26951863770219653, -0.3722684696767029, -0.11272608607516184, 0.2559443710801693, 0.17248801457705898, 0.031197013132591416, 0.035233198411783184, -0.18483313468827323, 0.1555857241181222, -0.21746718701343615, -0.09472482508191696, -0.016137480415956498, 0.08687603580356054, -0.018842833362274117, -0.3113566535719476, 0.001172289252281189, 0.064744744746649, 0.1004609722070969, -0.0529580893261092, -0.17266211493943745, -0.05963174935051619, 0.07529896449753093, -0.03778470689072632, -0.02345117278253803, 0.08306553545356779, -0.08232813988617815, -0.08237573771051816, 0.3041973640818589, 0.0035549473365420825, -0.24890766754889718, 0.11961420951411128, -0.13744887804540878, -0.13290365476795768, 0.180484458916708, 0.08241027143302855, 0.10426201009201808, -0.052061506772188695, 0.19688830002605057, -0.14693506305607465, 0.12998340453870677, 0.08335949026641774, 0.0017862644604315142, 0.14731549200407423, 0.12970703892962454, 0.09209295590459318, 0.14474995921437556, 0.00267813571698063, 0.010394394929919924, -0.35383561892168863, -0.19212386256677436, -0.1932991513800756, 0.09156982584314032, -0.14151650833466173, -0.21830260190744322, 0.4631879862070411, 0.026355893760510198, 0.2347903357368413, 0.14837185576031045, 0.1816103642161649, 0.04981156240954898, 0.10331687892040053, 0.06379769519892531, 0.04014983341343455, 0.23978895576578657, -0.07947617171173608, -0.13847727049653838, -0.017944648718604676, 0.24461111274421865] |
709.247 | Computation of the canonical form for the matrices of chains and cycles
of linear mappings | Paul Van Dooren [Linear Algebra Appl. 27 (1979) 103-140] constructed an
algorithm for the computation of all irregular summands in Kronecker's
canonical form of a matrix pencil. The algorithm is numerically stable since it
uses only unitary transformations. We extend Paul Van Dooren's algorithm to the
matrices of a cycle of linear mappings.
| math.RT | paul van dooren linear algebra appl 27 1979 103140 constructed an algorithm for the computation of all irregular summands in kroneckers canonical form of a matrix pencil the algorithm is numerically stable since it uses only unitary transformations we extend paul van doorens algorithm to the matrices of a cycle of linear mappings | [['paul', 'van', 'dooren', 'linear', 'algebra', 'appl', '27', '1979', '103140', 'constructed', 'an', 'algorithm', 'for', 'the', 'computation', 'of', 'all', 'irregular', 'summands', 'in', 'kroneckers', 'canonical', 'form', 'of', 'a', 'matrix', 'pencil', 'the', 'algorithm', 'is', 'numerically', 'stable', 'since', 'it', 'uses', 'only', 'unitary', 'transformations', 'we', 'extend', 'paul', 'van', 'doorens', 'algorithm', 'to', 'the', 'matrices', 'of', 'a', 'cycle', 'of', 'linear', 'mappings']] | [-0.13235953953299745, 0.023014947254149078, -0.08274069214787554, 0.013314912271430241, -0.03727930337738465, -0.1923363761538092, 0.025668169303304133, 0.3302329182624817, -0.30257994925384135, -0.2428763827363796, 0.08551854212704461, -0.23137709768671616, -0.25331114499154045, 0.18197020952242846, -0.1046779899961799, 0.09743831682877213, 0.06634015490428782, -0.013047250889369524, -0.14441471452843033, -0.3304151550446655, 0.24976263151449316, 0.10770662508758844, 0.1929936359463004, -0.062181675126410874, 0.1674089693811302, 0.098248063805787, -0.038195343103771116, -0.04805826925325627, -0.07805602358969148, 0.09109305585369322, 0.2898033542156804, 0.11634977417541485, 0.261605124628427, -0.3833071064733553, -0.05422574460652529, 0.1720211391757224, 0.05659620241061145, 0.14592401438630095, 0.02274352279217804, -0.2328521471616684, 0.058306930225751105, -0.17375811036018765, -0.1305976691929733, -0.08878873144824277, 0.0803086934428589, 0.021550728190763323, -0.2790252224852641, 0.044172635475429246, 0.16559783542784406, 0.08909339053720675, -0.016140552858511608, -0.14485251625963286, 0.005732453556037417, 0.020294393814515834, -0.12610443818894232, -0.002406672990022629, 0.12407139527118381, 0.014502328765742919, -0.11375106662950095, 0.30899075667063397, -0.03222714648490735, -0.14485586427298247, 0.11431907813119538, -0.11046519238209608, -0.16341155401303195, 0.14191780362606926, 0.11957203558481791, 0.12378155535050467, -0.1362958653446506, 0.2500940879952966, -0.12786303833127022, 0.09866249093822405, 0.20562426815284232, -0.11849177794932735, 0.07614939450286329, 0.055539774142351804, 0.08601606843591321, 0.11644590421415427, 0.05502771863750383, -0.08217374859925579, -0.26456511409624534, -0.18600484898642583, -0.21539659895614593, 0.06741943126361744, -0.0776770825169104, -0.2348160646198427, 0.3856584231926165, 0.031195271760225296, 0.17990217235523695, 0.07001865548355614, 0.20358954717898192, 0.09782948443556533, 0.03405076922967518, 0.1478288707359895, 0.17855649923577027, 0.31712371936323597, 0.07616171302894752, -0.18322237064336044, -0.06833389993099605, 0.254807027842046] |
709.2471 | Q-Curvature, Spectral Invariants, and Representation Theory | We give an introductory account of functional determinants of elliptic
operators on manifolds and Polyakov-type formulas for their infinitesimal and
finite conformal variations. We relate this to extremal problems and to the
Q-curvature on even-dimensional conformal manifolds. The exposition is
self-contained, in the sense of giving references sufficient to allow the
reader to work through all details.
| math.DG math-ph math.MP | we give an introductory account of functional determinants of elliptic operators on manifolds and polyakovtype formulas for their infinitesimal and finite conformal variations we relate this to extremal problems and to the qcurvature on evendimensional conformal manifolds the exposition is selfcontained in the sense of giving references sufficient to allow the reader to work through all details | [['we', 'give', 'an', 'introductory', 'account', 'of', 'functional', 'determinants', 'of', 'elliptic', 'operators', 'on', 'manifolds', 'and', 'polyakovtype', 'formulas', 'for', 'their', 'infinitesimal', 'and', 'finite', 'conformal', 'variations', 'we', 'relate', 'this', 'to', 'extremal', 'problems', 'and', 'to', 'the', 'qcurvature', 'on', 'evendimensional', 'conformal', 'manifolds', 'the', 'exposition', 'is', 'selfcontained', 'in', 'the', 'sense', 'of', 'giving', 'references', 'sufficient', 'to', 'allow', 'the', 'reader', 'to', 'work', 'through', 'all', 'details']] | [-0.12101130046996109, 0.047815716645952, -0.0902339846157191, 0.13199189114139268, -0.20131788206319406, -0.12787799171494776, -0.044599804234805335, 0.3405157898536377, -0.18545536549042976, -0.263573986233065, 0.12845700689011433, -0.31263531767354724, -0.1726716813026813, 0.16437468104669006, -0.17706327361596969, 0.04452737633204251, 0.03521415081463362, 0.07376272026694526, -0.13278307196308384, -0.31068432040251137, 0.3998319746828393, 0.048771790473868974, 0.17906718037761093, 0.17462867183872222, 0.1369021540801776, 0.0173328680133349, -0.07485360753101607, -0.03634290849757299, -0.21297740872557225, 0.17548120912295162, 0.3530427133501099, 0.03791533425254257, 0.20270031883397646, -0.47530253988020776, -0.119930864209636, 0.0982150046538823, 0.12730094622984006, 0.09769820892497112, 0.03109346685130476, -0.28162634320426405, 0.07181210296326562, -0.08945695688976628, -0.16090089661118231, -0.14295818321325146, 0.02282458823991188, -0.015955315049707184, -0.2007820379773253, 0.021296480474503415, 0.1367748533947426, 0.11452808157589875, -0.10274147324002626, -0.09874368073386058, 0.014269886669098284, 0.14276479511407383, 0.08065824642401646, -0.02094025619066598, 0.10522832723514161, -0.03749001568199642, -0.09295991573609379, 0.33894007685675953, -0.02469800418373524, -0.29806488553029403, 0.09316116358815252, -0.11615978717281107, -0.1717641416348909, 0.07751690308775819, 0.16309375161501138, 0.17819858036410438, -0.12044410559495813, 0.1528007036959344, -0.006306226201878305, 0.06239149674952945, 0.0878947495335811, 0.03187235513407933, 0.14363608738048034, 0.021410630623760977, 0.1055106163972564, 0.1520638211156454, 0.08938889127845566, -0.09346294250306592, -0.4300237631327228, -0.19324601837025399, -0.0821470926095029, 0.1446066436831627, -0.09827447904752805, -0.23109407541689284, 0.41757100552581905, 0.13616894556999845, 0.165024056573186, 0.12098726089390223, 0.19859104211393155, 0.08898430204390663, 0.04152857502023771, 0.06072462985308416, 0.13270349266301645, 0.2553438037437828, 0.12122810754941352, -0.12965509177005866, -0.061775236937887314, 0.18279593068648847] |
709.2472 | Formation of molecular hydrogen on amorphous silicate surfaces | Experimental results on the formation of molecular hydrogen on amorphous
silicate surfaces are presented and analyzed using a rate equation model. The
energy barriers for the relevant diffusion and desorption processes are
obtained. They turn out to be significantly higher than those obtained for
polycrystalline silicates, demonstrating the importance of grain morphology.
Using these barriers we evaluate the efficiency of molecular hydrogen formation
on amorphous silicate grains under interstellar conditions. It is found that
unlike polycrystalline silicates, amorphous silicate grains are efficient
catalysts of H_2 formation in diffuse interstellar clouds.
| astro-ph | experimental results on the formation of molecular hydrogen on amorphous silicate surfaces are presented and analyzed using a rate equation model the energy barriers for the relevant diffusion and desorption processes are obtained they turn out to be significantly higher than those obtained for polycrystalline silicates demonstrating the importance of grain morphology using these barriers we evaluate the efficiency of molecular hydrogen formation on amorphous silicate grains under interstellar conditions it is found that unlike polycrystalline silicates amorphous silicate grains are efficient catalysts of h_2 formation in diffuse interstellar clouds | [['experimental', 'results', 'on', 'the', 'formation', 'of', 'molecular', 'hydrogen', 'on', 'amorphous', 'silicate', 'surfaces', 'are', 'presented', 'and', 'analyzed', 'using', 'a', 'rate', 'equation', 'model', 'the', 'energy', 'barriers', 'for', 'the', 'relevant', 'diffusion', 'and', 'desorption', 'processes', 'are', 'obtained', 'they', 'turn', 'out', 'to', 'be', 'significantly', 'higher', 'than', 'those', 'obtained', 'for', 'polycrystalline', 'silicates', 'demonstrating', 'the', 'importance', 'of', 'grain', 'morphology', 'using', 'these', 'barriers', 'we', 'evaluate', 'the', 'efficiency', 'of', 'molecular', 'hydrogen', 'formation', 'on', 'amorphous', 'silicate', 'grains', 'under', 'interstellar', 'conditions', 'it', 'is', 'found', 'that', 'unlike', 'polycrystalline', 'silicates', 'amorphous', 'silicate', 'grains', 'are', 'efficient', 'catalysts', 'of', 'h_2', 'formation', 'in', 'diffuse', 'interstellar', 'clouds']] | [0.0005037459234396616, 0.1397113112681028, -0.041818862568794024, 0.043047048983215874, 0.048661191225983204, -0.05604432075698343, 0.03450824669044879, 0.4977046801812119, -0.21606821703414122, -0.2719781930040982, 0.019569623365532605, -0.27071277025517904, -0.06434199081526862, 0.15673316427144326, 0.025352430178059472, 0.008460867818858889, 0.04569904653148519, -0.1920403722466694, 0.013474319575147496, -0.30798724430302776, 0.2645008511323896, 0.11229346555968125, 0.25611928457187283, 0.10316355148291526, -0.005814140275793357, -0.15993919369195483, 0.008101859320110332, -0.05117520342270533, -0.23089615158621907, 0.13777762746645345, 0.23472706283856598, -0.04127616794365976, 0.09547232733004624, -0.5418798165809777, -0.3253569257963035, 0.03605834740834932, 0.1154996653760059, 0.06928944243603231, -0.07632218411632088, -0.21414711204253964, 0.0666373427077714, -0.08900893196049664, -0.11025872494404515, -0.01414854043784241, 0.029762197606679468, 0.04249970078882244, -0.24825518818365203, 0.12490173625345859, 0.03342155133270555, 0.09064575314211348, -0.20749625218514767, -0.22436803763525354, -0.13808073128780557, 0.002479309324796001, -0.016530350798792722, -0.07542016806805299, 0.3684551120166563, -0.12680894650394395, 0.0032008542886210814, 0.48337805817524593, -0.06208911107985639, -0.056447065373261766, 0.2942536432632349, -0.14417153876274824, -0.12586019109003246, 0.2893868620196978, 0.09987001343526775, 0.15199144512621893, -0.16553879445418715, -0.0036566553288139405, -0.023172744078975585, 0.18153837010678317, 0.11990130260690218, 0.07037930637080636, 0.2503089912235737, 0.22179511705827382, -0.036340931927164394, 0.14515193382200475, -0.12967410647672498, -0.08718592796164254, -0.17424577398018704, -0.22833510543633667, -0.1920554974530306, 0.07107046293094754, -0.16141738463678243, -0.1364928375205232, 0.20678091232871842, 0.1092551578871078, 0.16193629870605136, -0.016735448936621346, 0.24302940567851894, 0.024863502522930504, 0.08081368481248824, 0.0486886749509722, 0.2552233690861613, 0.1377170229020218, 0.11555606505005724, -0.23210423966973193, 0.2287796372237305, 0.0027272350465257964] |
709.2473 | Canonical forms for complex matrix congruence and *congruence | Canonical forms for congruence and *congruence of square complex matrices
were given by Horn and Sergeichuk in [Linear Algebra Appl. 389 (2004) 347-353],
based on Sergeichuk's paper [Math. USSR, Izvestiya 31 (3) (1988) 481-501],
which employed the theory of representations of quivers with involution. We use
standard methods of matrix analysis to prove directly that these forms are
canonical. Our proof provides explicit algorithms to compute all the blocks and
parameters in the canonical forms. We use these forms to derive canonical pairs
for simultaneous congruence of pairs of complex symmetric and skew-symmetric
matrices as well as canonical forms for simultaneous *congruence of pairs of
complex Hermitian matrices.
| math.RT | canonical forms for congruence and congruence of square complex matrices were given by horn and sergeichuk in linear algebra appl 389 2004 347353 based on sergeichuks paper math ussr izvestiya 31 3 1988 481501 which employed the theory of representations of quivers with involution we use standard methods of matrix analysis to prove directly that these forms are canonical our proof provides explicit algorithms to compute all the blocks and parameters in the canonical forms we use these forms to derive canonical pairs for simultaneous congruence of pairs of complex symmetric and skewsymmetric matrices as well as canonical forms for simultaneous congruence of pairs of complex hermitian matrices | [['canonical', 'forms', 'for', 'congruence', 'and', 'congruence', 'of', 'square', 'complex', 'matrices', 'were', 'given', 'by', 'horn', 'and', 'sergeichuk', 'in', 'linear', 'algebra', 'appl', '389', '2004', '347353', 'based', 'on', 'sergeichuks', 'paper', 'math', 'ussr', 'izvestiya', '31', '3', '1988', '481501', 'which', 'employed', 'the', 'theory', 'of', 'representations', 'of', 'quivers', 'with', 'involution', 'we', 'use', 'standard', 'methods', 'of', 'matrix', 'analysis', 'to', 'prove', 'directly', 'that', 'these', 'forms', 'are', 'canonical', 'our', 'proof', 'provides', 'explicit', 'algorithms', 'to', 'compute', 'all', 'the', 'blocks', 'and', 'parameters', 'in', 'the', 'canonical', 'forms', 'we', 'use', 'these', 'forms', 'to', 'derive', 'canonical', 'pairs', 'for', 'simultaneous', 'congruence', 'of', 'pairs', 'of', 'complex', 'symmetric', 'and', 'skewsymmetric', 'matrices', 'as', 'well', 'as', 'canonical', 'forms', 'for', 'simultaneous', 'congruence', 'of', 'pairs', 'of', 'complex', 'hermitian', 'matrices']] | [-0.11601229339293292, 0.028094298294130363, -0.0323052536893882, 0.059567060956362425, -0.11058939476980705, -0.11756702470329572, -0.006395622450893499, 0.33177057443239355, -0.26578682578247886, -0.28639943125868605, 0.07837468331771956, -0.2524541866359354, -0.21368311846382776, 0.18397155718851554, -0.05145821327624737, 0.043263684035683016, 0.039265106691328704, 0.045093868927204246, -0.19873874944213005, -0.2703177104616221, 0.370371177208276, 0.019177555581027607, 0.23339401763415774, -0.022014546230048785, 0.1361896433990519, 0.08879987151089634, -0.060817200040339296, -0.08138389292805684, -0.08472814961186366, 0.16462022206254023, 0.3155375074524924, 0.13690858899905645, 0.1560299265844185, -0.40537539398613964, -0.10068058466620058, 0.162561732862707, 0.08794569742057542, 0.020876778538980224, 0.034363726576799, -0.23900216772168312, 0.10074654497183697, -0.15777682402733503, -0.1267724030361212, -0.12131507760836338, 0.08636243757352514, 0.03334229518022423, -0.30669684193255203, 0.07983108790029052, 0.11057311095317106, 0.15106638563129138, -0.0337909643784306, -0.1887562013547516, -0.01115424132396309, 0.05167059923241021, -0.040284032775264864, -0.032267705146399026, 0.0605618167528004, -0.014483674130630944, -0.14691218493928043, 0.3360596742164695, -0.026505203654040705, -0.21260773031181604, 0.174804613556502, -0.07514687326411663, -0.18102597904980253, 0.08446549914144683, 0.14860386539356046, 0.12291876384812706, -0.10077641718968186, 0.14140291122570284, -0.1302778326361528, 0.08594505427150442, 0.16274505299691744, -0.042156214676445945, 0.13774249913996822, 0.019829225972435385, -0.013069279382075622, 0.12816509180526547, 0.02202745667386378, -0.10465497404495079, -0.296564260462545, -0.2144350845735731, -0.10362491541309282, 0.11702192077997474, -0.0948826870480157, -0.17612223966126242, 0.37397409332388976, 0.05649305940913212, 0.17783953967275765, 0.10854708783016628, 0.17581393216508176, 0.0753719012971247, 0.07995092170752303, 0.07942198206371856, 0.1522092794546998, 0.2667033388059727, 0.012570338626831488, -0.10975758458997281, -0.07990129251595375, 0.1761884050672206] |
709.2474 | The Camera of the MAGIC-II Telescope | The MAGIC 17m diameter Cherenkov telescope will be upgraded with a second
telescope within the year 2007. The camera of MAGIC-II will include several new
features compared to the MAGIC-I camera. Photomultipliers with the highest
available photon collection efficiency have been selected. A modular design
allows easier access and flexibility to test new photodetector technologies.
The camera will be uniformly equipped with 0.1 degree diamter pixels, which
allows the use of an increased trigger area. Finally, the overall signal chain
features a large bandwidth to retain the shape of the very fast Cherenkov
signals.
| astro-ph | the magic 17m diameter cherenkov telescope will be upgraded with a second telescope within the year 2007 the camera of magicii will include several new features compared to the magici camera photomultipliers with the highest available photon collection efficiency have been selected a modular design allows easier access and flexibility to test new photodetector technologies the camera will be uniformly equipped with 01 degree diamter pixels which allows the use of an increased trigger area finally the overall signal chain features a large bandwidth to retain the shape of the very fast cherenkov signals | [['the', 'magic', '17m', 'diameter', 'cherenkov', 'telescope', 'will', 'be', 'upgraded', 'with', 'a', 'second', 'telescope', 'within', 'the', 'year', '2007', 'the', 'camera', 'of', 'magicii', 'will', 'include', 'several', 'new', 'features', 'compared', 'to', 'the', 'magici', 'camera', 'photomultipliers', 'with', 'the', 'highest', 'available', 'photon', 'collection', 'efficiency', 'have', 'been', 'selected', 'a', 'modular', 'design', 'allows', 'easier', 'access', 'and', 'flexibility', 'to', 'test', 'new', 'photodetector', 'technologies', 'the', 'camera', 'will', 'be', 'uniformly', 'equipped', 'with', '01', 'degree', 'diamter', 'pixels', 'which', 'allows', 'the', 'use', 'of', 'an', 'increased', 'trigger', 'area', 'finally', 'the', 'overall', 'signal', 'chain', 'features', 'a', 'large', 'bandwidth', 'to', 'retain', 'the', 'shape', 'of', 'the', 'very', 'fast', 'cherenkov', 'signals']] | [-0.0856369767908848, 0.1319909139340105, -0.0732190739864143, 0.005694109675792416, -0.15213381113504532, -0.1893892385396025, -0.010435072579971885, 0.4376363237037934, -0.20406001702111254, -0.3921785487102405, 0.1350132378058568, -0.3098363142553842, -0.05481420629607734, 0.23689046743456074, -0.11836289266444823, 0.06142516258943786, 0.16971830767329021, -0.0290176157328871, -0.03376753966734614, -0.26578540328930145, 0.177555049979879, 0.22761204778667418, 0.29139748050440706, -0.00691321129555143, 0.17311215199910665, -0.02031072975957506, -0.060599402429395786, -0.029063871821328517, -0.05990798740337292, 0.12768470135928, 0.28784218974291315, 0.13888503633369442, 0.2144698106072923, -0.3975380189636702, -0.13262438112168864, 0.0844076695821939, 0.0793658879395294, -0.012530352606097616, -0.027261035889887843, -0.33451710889736813, 0.06053652393165976, -0.22511024316863573, -0.18239782755613648, 0.008192028655039688, -0.030478170161606165, 0.09268445064443895, -0.2272924717155195, -0.1093937896832984, -0.05856217403886139, 0.0184403599655476, 0.005130228199695628, -0.11178266533189804, 0.023171188262221153, 0.1419546354051319, -0.05780302872380582, 0.02961358036820887, 0.11573595535110241, -0.14538660574884665, -0.06719685797529515, 0.3212460227190487, -0.03802232992377192, -0.11369159331004466, 0.1610852459505681, -0.1696174503654562, -0.11204882834347026, 0.24919194155322608, 0.20962943698959274, 0.08808196320008206, -0.19155981211412337, 0.03979928000336914, 0.031181241235425396, 0.2799054955042178, 0.0774269333579928, 0.0840755572532534, 0.22455574002277146, 0.2298322854343281, 0.1329465839055477, 0.18054678930740764, -0.2825844839055051, -0.00015624266077754318, -0.28233978756320394, -0.17202764888724653, -0.18472267001346554, 0.036266623953637736, -0.0736799075977654, -0.07888879984997774, 0.42352146052465, 0.16189062652042643, 0.12159341411484827, 0.05439605170695652, 0.3052489022494003, 0.015401427313605304, 0.2020984090944772, -0.0011040533389595727, 0.26822992076005747, 0.07626261133500324, 0.1770748965822721, -0.13906936447658094, 0.0058132498074443106, -0.01523178280080839] |
709.2475 | Sparse Representations for Structured Noise Filtering | The role of sparse representations in the context of structured noise
filtering is discussed. A strategy, especially conceived so as to address
problems of an ill posed nature, is presented. The proposed approach revises
and extends the Oblique Matching Pursuit technique. It is shown that, by
working with an orthogonal projection of the signal to be filtered, it is
possible to apply orthogonal matching pursuit like strategies in order to
accomplish the required signal discrimination
| math.FA | the role of sparse representations in the context of structured noise filtering is discussed a strategy especially conceived so as to address problems of an ill posed nature is presented the proposed approach revises and extends the oblique matching pursuit technique it is shown that by working with an orthogonal projection of the signal to be filtered it is possible to apply orthogonal matching pursuit like strategies in order to accomplish the required signal discrimination | [['the', 'role', 'of', 'sparse', 'representations', 'in', 'the', 'context', 'of', 'structured', 'noise', 'filtering', 'is', 'discussed', 'a', 'strategy', 'especially', 'conceived', 'so', 'as', 'to', 'address', 'problems', 'of', 'an', 'ill', 'posed', 'nature', 'is', 'presented', 'the', 'proposed', 'approach', 'revises', 'and', 'extends', 'the', 'oblique', 'matching', 'pursuit', 'technique', 'it', 'is', 'shown', 'that', 'by', 'working', 'with', 'an', 'orthogonal', 'projection', 'of', 'the', 'signal', 'to', 'be', 'filtered', 'it', 'is', 'possible', 'to', 'apply', 'orthogonal', 'matching', 'pursuit', 'like', 'strategies', 'in', 'order', 'to', 'accomplish', 'the', 'required', 'signal', 'discrimination']] | [-0.06850914022419602, 0.05266616857649448, -0.1008022572635673, 0.05801566164319714, -0.12340617624732356, -0.13663857935617368, -0.021004471629858017, 0.40043617178996405, -0.3059324307988087, -0.28590910223002236, 0.16480065360820542, -0.1950967102094243, -0.20147268479069075, 0.15402998765309653, -0.1289290679867069, 0.09837772307296594, 0.030558481039479377, 0.035861615786949796, -0.03163421865009392, -0.25990152567625047, 0.2772008044831455, 0.136344224413236, 0.33631818113227685, -0.024421454472467304, 0.11663020830601453, 0.046281725143392884, -0.09750228406240542, 0.005096865491941572, -0.03006281032275486, 0.11432578320925435, 0.32735244755943615, 0.2011806672004362, 0.288556326959903, -0.3815769158800443, -0.1826955133428176, 0.12217388401428858, 0.12798742531410728, 0.09932934907575448, -0.038679186229904496, -0.28197348229587077, 0.08845130011439323, -0.11155968204140664, -0.11649589462244572, -0.08535874177643564, -0.051211193619916835, -0.053550593219697476, -0.3168848480780919, 0.022461378015577793, 0.10801434462472874, -0.03845946803999444, -0.011652990343670051, -0.12707924642289678, 0.08107245191931725, 0.1084328520235916, 0.03530986085999757, 0.05274803331432243, 0.061620726566761735, -0.11130513680477937, -0.17131589776525893, 0.4311291553080082, -0.04522170158258329, -0.2456784544388453, 0.17877078561422727, -0.05126329369222125, -0.08999883168687423, 0.1194174694766601, 0.1694643353546659, 0.11220894676322739, -0.1428246802270102, 0.05042144263706481, -0.03280249942094088, 0.13512377956106017, 0.10588235720992088, 0.004567593941270994, 0.1520670155932506, 0.2072587512185176, 0.15347494928631933, 0.12798340032963704, -0.07445078945408265, -0.0390212756403101, -0.2182563237970074, -0.09774656053865328, -0.20106286217458547, -0.05170275404428442, -0.007582123260751056, -0.1378784122329671, 0.3910832015921672, 0.2003519168868661, 0.1934413687388102, -0.016195635880576445, 0.3428309340775013, 0.12984427282431474, 0.04051004553834597, 0.03535894021391869, 0.2344226267375052, 0.19325184972646337, 0.08056709495683512, -0.20831092146535715, 0.05854364339262247, 0.0599867452091227] |
709.2476 | Cross Comparison of Synonym Graphs in A Multi Linguistic Context | Language is one of the most important aspects of human cognition; it
represents the way we think, act and communicate with each other. Each language
has its own history, background, and form. A language represents a lot of
important cultural aspects of the nation speaking it. Languages differ and so
do cultures. In this paper we analyze cultural differences between East and
West in a multi-linguistic context from a complex networks point of view. There
has been considerable work on the topic of cultural differences by psychologist
and sociologist. Also studies on complex networks that make use of WordNet have
been done, but until now there is no previous work that uses WordNets from
different Eastern and Western languages as complex lexical networks in order to
obtain possible differences or similarities between the cultures using those
respective languages. Our work aims to do this.
| nlin.AO | language is one of the most important aspects of human cognition it represents the way we think act and communicate with each other each language has its own history background and form a language represents a lot of important cultural aspects of the nation speaking it languages differ and so do cultures in this paper we analyze cultural differences between east and west in a multilinguistic context from a complex networks point of view there has been considerable work on the topic of cultural differences by psychologist and sociologist also studies on complex networks that make use of wordnet have been done but until now there is no previous work that uses wordnets from different eastern and western languages as complex lexical networks in order to obtain possible differences or similarities between the cultures using those respective languages our work aims to do this | [['language', 'is', 'one', 'of', 'the', 'most', 'important', 'aspects', 'of', 'human', 'cognition', 'it', 'represents', 'the', 'way', 'we', 'think', 'act', 'and', 'communicate', 'with', 'each', 'other', 'each', 'language', 'has', 'its', 'own', 'history', 'background', 'and', 'form', 'a', 'language', 'represents', 'a', 'lot', 'of', 'important', 'cultural', 'aspects', 'of', 'the', 'nation', 'speaking', 'it', 'languages', 'differ', 'and', 'so', 'do', 'cultures', 'in', 'this', 'paper', 'we', 'analyze', 'cultural', 'differences', 'between', 'east', 'and', 'west', 'in', 'a', 'multilinguistic', 'context', 'from', 'a', 'complex', 'networks', 'point', 'of', 'view', 'there', 'has', 'been', 'considerable', 'work', 'on', 'the', 'topic', 'of', 'cultural', 'differences', 'by', 'psychologist', 'and', 'sociologist', 'also', 'studies', 'on', 'complex', 'networks', 'that', 'make', 'use', 'of', 'wordnet', 'have', 'been', 'done', 'but', 'until', 'now', 'there', 'is', 'no', 'previous', 'work', 'that', 'uses', 'wordnets', 'from', 'different', 'eastern', 'and', 'western', 'languages', 'as', 'complex', 'lexical', 'networks', 'in', 'order', 'to', 'obtain', 'possible', 'differences', 'or', 'similarities', 'between', 'the', 'cultures', 'using', 'those', 'respective', 'languages', 'our', 'work', 'aims', 'to', 'do', 'this']] | [-0.0460157188004, 0.04200596558060367, -0.08528177739752756, 0.09107623626624553, -0.14680351785846524, -0.11115597197264954, 0.04969378921017702, 0.4352628548557942, -0.2287844670032822, -0.29080096418420637, 0.05456542598256203, -0.32320900532739383, -0.2273446069037138, 0.17369386394202083, -0.1167171517374007, -0.046497568412817415, 0.059793174024215426, 0.08538887262266208, -0.009160955130835747, -0.23303208304113232, 0.33053176863431616, 0.027091009934738904, 0.28570389528954204, 0.03344954133124931, 0.0933176789773055, -0.07795923435409273, -0.09379231557901298, 0.004134025694997785, -0.08215936375963029, 0.16518274945299746, 0.3474145347392512, 0.23568802914367273, 0.35514053295959125, -0.45894396982409735, -0.20412794267758727, 0.10859219425755155, 0.13468104973435402, 0.09126178790014107, -0.0028800446120045196, -0.2735817489585468, 0.037183748566304575, -0.19424822438309633, -0.0365114295562091, -0.024355260334531222, 0.062191139851286485, -0.013279643665243696, -0.1159892264481673, 0.018942575574277778, 0.08661248073164192, 0.13120709197804123, 0.013258094397060886, -0.14892843218481208, -0.014160868970651205, 0.2572683524258982, 0.09960971391675147, 0.0726774752016303, 0.11834181158826199, -0.11616747039435366, -0.15860272755755203, 0.4087555447651946, -0.01365703102478015, -0.17696752205614807, 0.278761455689889, -0.1312779280832493, -0.19945750446091373, 0.027524850643858626, 0.14950332208862202, 0.0489393211770933, -0.16461393715800732, 0.09956932769700806, -0.08145387460301806, 0.18596075023007513, 0.12936100798782768, 0.02520265909143027, 0.23398851075085936, 0.19674452715325397, 0.016283604178017566, 0.08766782303361899, -0.020686150789000355, -0.13010353392024257, -0.18898565909610346, -0.14472401880665675, -0.10951296337782503, -0.003465865373976164, -0.03890040251072268, -0.12574090646462632, 0.3920400540158804, 0.18815858898541102, 0.15873260880084514, 0.0410971403792761, 0.28582260419021954, -0.0016504725298056235, 0.11003396860519228, 0.0783944198816129, 0.17284326097713068, 0.05124176793301908, 0.1840699394331216, -0.1172469682776584, 0.15102132031583337, -0.0113191646605183] |
709.2477 | Source radii at target rapidity from two-proton and two-deuteron
correlations in central Pb+Pb collisions at 158 A GeV | Two-proton and two-deuteron correlations have been studied in the target
fragmentation region of central Pb+Pb collisions at 158 A GeV. Protons and
deuterons were measured with the Plastic Ball spectrometer of the WA98
experiment at the CERN SPS. The results of one-dimensional and
multi-dimensional analyses using both the Bertsch-Pratt and
Yano-Koonin-Podgoretsky parameterizations of the two-particle correlation
functions are presented. The proton source exhibits a volume emission, while
the deuteron source, with small outward radius, appears opaque. Both proton and
deuteron sources have cross-terms R_{ol}^2 and longitudinal velocities beta
consistent with zero, indicating a boost-invariant expansion. The invariant
radius parameter R follows an approximate A/sqrt{m} scaling while the
longitudinal and transverse radii,
R_{L} and R_{T}, scale approximately as A/sqrt{m_{T}} with A ~ 3 fm GeV^{1/2}
in both cases.
| nucl-ex | twoproton and twodeuteron correlations have been studied in the target fragmentation region of central pbpb collisions at 158 a gev protons and deuterons were measured with the plastic ball spectrometer of the wa98 experiment at the cern sps the results of onedimensional and multidimensional analyses using both the bertschpratt and yanokooninpodgoretsky parameterizations of the twoparticle correlation functions are presented the proton source exhibits a volume emission while the deuteron source with small outward radius appears opaque both proton and deuteron sources have crossterms r_ol2 and longitudinal velocities beta consistent with zero indicating a boostinvariant expansion the invariant radius parameter r follows an approximate asqrtm scaling while the longitudinal and transverse radii r_l and r_t scale approximately as asqrtm_t with a 3 fm gev12 in both cases | [['twoproton', 'and', 'twodeuteron', 'correlations', 'have', 'been', 'studied', 'in', 'the', 'target', 'fragmentation', 'region', 'of', 'central', 'pbpb', 'collisions', 'at', '158', 'a', 'gev', 'protons', 'and', 'deuterons', 'were', 'measured', 'with', 'the', 'plastic', 'ball', 'spectrometer', 'of', 'the', 'wa98', 'experiment', 'at', 'the', 'cern', 'sps', 'the', 'results', 'of', 'onedimensional', 'and', 'multidimensional', 'analyses', 'using', 'both', 'the', 'bertschpratt', 'and', 'yanokooninpodgoretsky', 'parameterizations', 'of', 'the', 'twoparticle', 'correlation', 'functions', 'are', 'presented', 'the', 'proton', 'source', 'exhibits', 'a', 'volume', 'emission', 'while', 'the', 'deuteron', 'source', 'with', 'small', 'outward', 'radius', 'appears', 'opaque', 'both', 'proton', 'and', 'deuteron', 'sources', 'have', 'crossterms', 'r_ol2', 'and', 'longitudinal', 'velocities', 'beta', 'consistent', 'with', 'zero', 'indicating', 'a', 'boostinvariant', 'expansion', 'the', 'invariant', 'radius', 'parameter', 'r', 'follows', 'an', 'approximate', 'asqrtm', 'scaling', 'while', 'the', 'longitudinal', 'and', 'transverse', 'radii', 'r_l', 'and', 'r_t', 'scale', 'approximately', 'as', 'asqrtm_t', 'with', 'a', '3', 'fm', 'gev12', 'in', 'both', 'cases']] | [-0.06532957392392588, 0.22948206489829226, -0.1153327518966326, 0.107787094533074, 0.02935214553890396, -0.11414638465397399, -0.06044512104689459, 0.38446976724734977, -0.16230021540675899, -0.25902558625906646, 0.005176081066212255, -0.36899676401753073, 0.08645846867118, 0.1521470060202578, 0.10532718150821622, 0.09585690865493264, 0.05929808771576394, -0.0006210251272586752, -0.08519550085775862, -0.13236763324465387, 0.27629741533343827, 0.13278958468490148, 0.2512686414074553, 0.13678070846637172, 0.10235275604862197, 0.02809917737445063, -0.0424845885400745, 0.021961654897322585, -0.1455070461735345, 0.03438866180237883, 0.23821816607744026, 0.02055426916176807, 0.1557548525146678, -0.3501763575641084, -0.14129285486645934, 0.06189134777408124, 0.15273573136241905, 0.03976222679542362, -0.03206694191167793, -0.2650628059511727, 0.04360404916200017, -0.20937133999156557, -0.19256206728086983, -0.007426590591496865, 0.07483538312929844, 0.07556195697104481, -0.3032300547881375, 0.1427402898153552, 0.005805281332447694, 0.08931178747712873, -0.06664107457257437, -0.2111380804822711, -0.03096628415760053, 0.03393845389066033, 0.09469386083189367, 0.13258269940279732, 0.19002343922052994, -0.10881075603321717, -0.06268133867911087, 0.36060602194822033, -0.00634516305328647, -0.12359153059088002, 0.14476599015126174, -0.2637455636204397, -0.07722659489286156, 0.18943815330459066, 0.18814697522239004, 0.08116711283387416, -0.1678371892564676, 0.05630601223265706, -0.026674736835724435, 0.1944353780822255, 0.14034985477866774, 0.02153723280153368, 0.19802355911767433, 0.14498936561078665, -0.003739502228034491, 0.10174810103658387, -0.20208731230563862, -0.0754596885632385, -0.34180464362340773, -0.048577753750007016, -0.11946065299076312, 0.011069013567810709, -0.11073571203318848, -0.0821601664219321, 0.32375087036389455, 0.00019472761405343268, 0.2559272440088805, 0.042725533816563195, 0.2679797539502875, 0.07578935530248353, 0.09585999524267005, 0.11918737750869891, 0.2702773220621604, 0.1731424801771275, 0.17253716358306917, -0.2440367870894838, 0.022747193551660817, 0.011724613554975834] |
709.2478 | Unparticle physics in diphoton production at the CERN LHC | We have considered the di-photon production with unparticle at LHC. The
contributions of spin-0 and spin-2 unparticle to the di-photon production are
studied in the invariant mass and other kinematical distributions, along with
their dependencies on the model dependent parameters. The signal corresponding
to the unparticle is significant for moderate coupling constant values.
| hep-ph | we have considered the diphoton production with unparticle at lhc the contributions of spin0 and spin2 unparticle to the diphoton production are studied in the invariant mass and other kinematical distributions along with their dependencies on the model dependent parameters the signal corresponding to the unparticle is significant for moderate coupling constant values | [['we', 'have', 'considered', 'the', 'diphoton', 'production', 'with', 'unparticle', 'at', 'lhc', 'the', 'contributions', 'of', 'spin0', 'and', 'spin2', 'unparticle', 'to', 'the', 'diphoton', 'production', 'are', 'studied', 'in', 'the', 'invariant', 'mass', 'and', 'other', 'kinematical', 'distributions', 'along', 'with', 'their', 'dependencies', 'on', 'the', 'model', 'dependent', 'parameters', 'the', 'signal', 'corresponding', 'to', 'the', 'unparticle', 'is', 'significant', 'for', 'moderate', 'coupling', 'constant', 'values']] | [-0.10296575577472741, 0.26064912061742945, -0.0638447793042463, 0.17965173817301205, -0.10880324486115912, -0.17187517886665069, -0.0599364179476463, 0.34235212530167597, -0.20506625383530022, -0.30520750473271, -0.035093139165151374, -0.3286659660626133, -0.011066277634422734, 0.10997381693472699, 0.10511584019393853, 0.11985841578664477, 0.030717361384545856, 0.07182798371210976, -0.04621366771676068, -0.2699047107741518, 0.35782309285944924, 0.06869116977278916, 0.20333970506798546, 0.14516877527085115, 0.09238649762393732, 0.04321198336744927, -0.04634871325710402, -0.11386112470777249, -0.1762579963850033, 0.08587356138412121, 0.1828644829362912, 0.050341957108170354, 0.08928696040661549, -0.2510909126930923, -0.13596956389692594, 0.16258540185484685, 0.15215887321721552, 0.09643514805807257, -0.04199862723757144, -0.3298377852254319, 0.08795109988664682, -0.22219587997796963, -0.05599529478909834, -0.04034800635967052, 0.007297824066624326, -0.10043417651838851, -0.3264648811013069, 0.11234002449672739, -0.061950346797634406, 0.041703135820703126, -0.07118172100130117, -0.1904076554830063, -0.11265349743958071, 0.03347300353156895, 0.22577809198223547, 0.007285887024031495, 0.1987129537441399, -0.22577815125081338, -0.1793704480372088, 0.3315228382828382, -0.1666602760131629, -0.2747093478463731, 0.2013187209882264, -0.22998643453883114, -0.19263181100898194, 0.1555373026936684, 0.258437809270789, -0.0032442480425640308, -0.1876518318412017, 0.19419067570684864, 0.01525725197609303, 0.10633896429197125, 0.0782822858682781, 0.1332152341756056, 0.22445027020601732, 0.15312584992146716, -0.004789803717461116, 0.0860876586685783, -0.10701149037406552, -0.09994061748093029, -0.4143046994676005, -0.07312632193964608, -0.08620204817819989, 0.011566505240241312, -0.13351450652215752, -0.06783448043416632, 0.3813947387883123, 0.14237512994715767, 0.30347399364383715, 0.015988298981749225, 0.28950370827092314, 0.1667489490981372, 0.14378821320023458, 0.044891355541657726, 0.37619711084396773, 0.16359241944649872, 0.14387723263177388, -0.2339739605898635, 0.06752072084027361, -0.020996413413294644] |
709.2479 | Electron/Photon identification in ATLAS and CMS | Recent studies in ATLAS and CMS experiments for the reconstruction and
identification of electrons and photons using full Monte Carlo and testbeam
data are reported
| physics.data-an | recent studies in atlas and cms experiments for the reconstruction and identification of electrons and photons using full monte carlo and testbeam data are reported | [['recent', 'studies', 'in', 'atlas', 'and', 'cms', 'experiments', 'for', 'the', 'reconstruction', 'and', 'identification', 'of', 'electrons', 'and', 'photons', 'using', 'full', 'monte', 'carlo', 'and', 'testbeam', 'data', 'are', 'reported']] | [0.01796282347291708, 0.1429625464230776, -0.048628323450684546, 0.0682455886527896, 0.0118658547103405, -0.08505054432898759, -0.014489052891731262, 0.43039336025714875, -0.1365757641941309, -0.45182682693004605, 0.10445080707082526, -0.4728437773883343, 0.04687680542469025, 0.27573031529784203, 0.07152902156114578, 0.2066336937621236, 0.26262371737509965, -0.15472667519003153, -0.09711300253868103, -0.20916469164192678, 0.1469695523381233, 0.24486960768699645, 0.2851032670587301, 0.052242341488599776, 0.12282499881926924, 0.09655444139614701, -0.19212574191391468, -0.023329656571149826, -0.16630488278344274, 0.10113514855504036, 0.27919906201772393, 0.10478839322924614, 0.11721832439303398, -0.4762459444999695, -0.17297993823885918, 0.11059200678020716, 0.1466252156160772, 0.08852417692542076, -0.2307838672399521, -0.37563893109560015, 0.06625725708901882, -0.1858495604991913, -0.023386560305953027, -0.06652616564184427, -0.07481089865788818, 0.019533187597990036, -0.3017327016592026, 0.09722985312342644, -0.10061382478103041, 0.136463485956192, -0.028471261169761418, -0.1833879006281495, -0.02803948201239109, 0.06204074088484049, 0.04675178635399788, 0.0554478931799531, 0.13495035484433174, -0.13254184335470198, -0.30289996198378505, 0.20175267294049262, 0.029609836488962173, -0.13581976190209388, 0.2746434250846505, -0.23444060876965522, -0.1519822053425014, 0.16715867087244987, 0.189033936932683, 0.10564926512539387, -0.2097017751634121, 0.09691256741993129, -0.011290146186947823, 0.1079677664861083, -0.05296348134987056, -0.02398008942604065, 0.0948984098341316, 0.27477497547864915, -0.1132309628650546, 0.08855268047656864, -0.20502553552389144, -0.08276252679526806, -0.32468642830848693, -0.15935854703187943, -0.20956977583467962, -0.07315585311502218, 0.025586404337082057, -0.0488473740965128, 0.3630577862262726, 0.20151219204068183, 0.21139645487070083, -0.03305989407002926, 0.3593004894256592, 0.017761014848947525, 0.045438296124339105, 0.02882431071251631, 0.2930587366223335, 0.09954392649233341, 0.13031732507050037, -0.19238504081964491, 0.012249781549908221, 0.01281446348875761] |
709.248 | Aharonov-Bohm differential conductance modulation in defective metallic
single-wall carbon nanotubes | Using a perturbative approach, the effects of the energy gap induced by the
Aharonov-Bohm (AB) flux on the transport properties of defective metallic
single-walled carbon nanotubes (MSWCNTs) are investigated. The electronic waves
scattered back and forth by a pair of impurities give rise to Fabry-Perot
oscillations which constitutes a coherent backscattering interference pattern
(CBSIP). It is shown that, the CBSIP is aperiodically modulated by applying a
magnetic field parallel to the nanotube axis. In fact, the AB-flux brings this
CBSIP under control by an additional phase shift. As a consequence, the extrema
as well as zeros of the CBSIP are located at the irrational fractions of the
quantity $\Phi_\rho={\Phi}/{\Phi_0}$, where $\Phi$ is the flux piercing the
nanotube cross section and $\Phi_{0}=h/e$ is the magnetic quantum flux. Indeed,
the spacing between two adjacent extrema in the magneto-differential
conductance (MDC) profile is decreased with increasing the magnetic field. The
faster and higher and slower and shorter variations is then obtained by
metallic zigzag and armchair nanotubes, respectively. Such results propose that
defective metallic nanotubes could be used as magneto-conductance switching
devices based on the AB effect.
| cond-mat.mes-hall | using a perturbative approach the effects of the energy gap induced by the aharonovbohm ab flux on the transport properties of defective metallic singlewalled carbon nanotubes mswcnts are investigated the electronic waves scattered back and forth by a pair of impurities give rise to fabryperot oscillations which constitutes a coherent backscattering interference pattern cbsip it is shown that the cbsip is aperiodically modulated by applying a magnetic field parallel to the nanotube axis in fact the abflux brings this cbsip under control by an additional phase shift as a consequence the extrema as well as zeros of the cbsip are located at the irrational fractions of the quantity phi_rhophiphi_0 where phi is the flux piercing the nanotube cross section and phi_0he is the magnetic quantum flux indeed the spacing between two adjacent extrema in the magnetodifferential conductance mdc profile is decreased with increasing the magnetic field the faster and higher and slower and shorter variations is then obtained by metallic zigzag and armchair nanotubes respectively such results propose that defective metallic nanotubes could be used as magnetoconductance switching devices based on the ab effect | [['using', 'a', 'perturbative', 'approach', 'the', 'effects', 'of', 'the', 'energy', 'gap', 'induced', 'by', 'the', 'aharonovbohm', 'ab', 'flux', 'on', 'the', 'transport', 'properties', 'of', 'defective', 'metallic', 'singlewalled', 'carbon', 'nanotubes', 'mswcnts', 'are', 'investigated', 'the', 'electronic', 'waves', 'scattered', 'back', 'and', 'forth', 'by', 'a', 'pair', 'of', 'impurities', 'give', 'rise', 'to', 'fabryperot', 'oscillations', 'which', 'constitutes', 'a', 'coherent', 'backscattering', 'interference', 'pattern', 'cbsip', 'it', 'is', 'shown', 'that', 'the', 'cbsip', 'is', 'aperiodically', 'modulated', 'by', 'applying', 'a', 'magnetic', 'field', 'parallel', 'to', 'the', 'nanotube', 'axis', 'in', 'fact', 'the', 'abflux', 'brings', 'this', 'cbsip', 'under', 'control', 'by', 'an', 'additional', 'phase', 'shift', 'as', 'a', 'consequence', 'the', 'extrema', 'as', 'well', 'as', 'zeros', 'of', 'the', 'cbsip', 'are', 'located', 'at', 'the', 'irrational', 'fractions', 'of', 'the', 'quantity', 'phi_rhophiphi_0', 'where', 'phi', 'is', 'the', 'flux', 'piercing', 'the', 'nanotube', 'cross', 'section', 'and', 'phi_0he', 'is', 'the', 'magnetic', 'quantum', 'flux', 'indeed', 'the', 'spacing', 'between', 'two', 'adjacent', 'extrema', 'in', 'the', 'magnetodifferential', 'conductance', 'mdc', 'profile', 'is', 'decreased', 'with', 'increasing', 'the', 'magnetic', 'field', 'the', 'faster', 'and', 'higher', 'and', 'slower', 'and', 'shorter', 'variations', 'is', 'then', 'obtained', 'by', 'metallic', 'zigzag', 'and', 'armchair', 'nanotubes', 'respectively', 'such', 'results', 'propose', 'that', 'defective', 'metallic', 'nanotubes', 'could', 'be', 'used', 'as', 'magnetoconductance', 'switching', 'devices', 'based', 'on', 'the', 'ab', 'effect']] | [-0.2024653437502363, 0.19982839213725687, -0.04601577761742538, 0.025266093371734435, -0.021157686581554726, -0.1332619700655444, 0.0633886304506466, 0.41887004358066215, -0.2592757742399175, -0.279553518474915, 0.020476904094414734, -0.29321211874124836, -0.14488171718407483, 0.18764263795153624, 0.0019144425760357748, 0.0005182365366133594, 0.03724340554157536, 0.001539546116486768, -0.0451711930420754, -0.1884823086033498, 0.24447422914685507, 0.04129584173437784, 0.31875772673626385, 0.09796571279380686, 0.031033617050711126, 0.0059622483719037386, 0.07171967225560909, 0.06357776291812486, -0.10487544714606326, 0.06902457064195171, 0.19231087157569662, -0.06127999205842038, 0.19349304610060641, -0.4796943423127272, -0.15796837804437672, 0.019455688074231148, 0.15800298270605406, 0.10340574641843218, -0.027988695655306234, -0.29524914016792786, 0.0730305301393408, -0.0825989565796615, -0.10939853956261379, -0.005842958685031254, 0.04095265952054739, 0.030561784390380698, -0.2294242521413494, 0.09030033115462209, 0.043001211169870435, 0.0676607798157229, -0.04251354234654891, -0.11968188614260343, -0.08113356485180763, 0.058745527057908475, 0.07715376345080566, 0.0568220842892088, 0.21328889013677116, -0.07707042433707383, -0.10888942994964593, 0.3638475187616783, -0.08373325825180056, -0.13042683666957883, 0.10580606849154056, -0.13755777928700352, -0.02052919617699696, 0.19272201541471629, 0.07832511933263164, 0.08720915752607114, -0.12755481083877385, 0.04973826416220146, -0.022756917638837963, 0.1279499060988879, 0.11398875426233473, 0.058027087951346576, 0.27048766399728574, 0.15835358165410343, 0.08372435641368255, 0.15518125373347874, -0.1474660090756093, -0.03373597784081052, -0.24656905106960883, -0.15884923334850914, -0.1864853300236536, 0.09524165491383131, -0.037505154091593405, -0.21402952233274744, 0.3897814346086337, 0.08751465782049776, 0.18671249135947934, -0.0282475484081014, 0.2942597514509805, 0.1484313526870014, 0.090986721346268, 0.022784965833165367, 0.24774372937332695, 0.21919058204000785, 0.09863890651150385, -0.2821598874317554, 0.04599775728713001, -0.0033005626746118893] |
709.2481 | Next-nearest-neighbor spin-spin and chiral-spin correlation functions in
generalized XXX chain | We develop a simple technique for calculation of next to nearest neighbor
spin-spin and chiral-spin correlation functions in inhomogeneous XXX model.
Exact expression of the chiral-spin order parameter as a function of the model
parameter, $\omega$, is analytically found. Using the same method we also
calculate the next to nearest neighbor spin-spin correlation function. In the
limit $\omega -> 0$ it reproduces the known result for the vacuum expectation
value of the next to nearest neighbor spins in the standard Heisenberg spin
chain. The technique is simple and can be extended for calculation of next to
next to nearest neighbor correlation functions as well as for calculation of
correlation functions in XXZ model.
| cond-mat.str-el cond-mat.stat-mech | we develop a simple technique for calculation of next to nearest neighbor spinspin and chiralspin correlation functions in inhomogeneous xxx model exact expression of the chiralspin order parameter as a function of the model parameter omega is analytically found using the same method we also calculate the next to nearest neighbor spinspin correlation function in the limit omega 0 it reproduces the known result for the vacuum expectation value of the next to nearest neighbor spins in the standard heisenberg spin chain the technique is simple and can be extended for calculation of next to next to nearest neighbor correlation functions as well as for calculation of correlation functions in xxz model | [['we', 'develop', 'a', 'simple', 'technique', 'for', 'calculation', 'of', 'next', 'to', 'nearest', 'neighbor', 'spinspin', 'and', 'chiralspin', 'correlation', 'functions', 'in', 'inhomogeneous', 'xxx', 'model', 'exact', 'expression', 'of', 'the', 'chiralspin', 'order', 'parameter', 'as', 'a', 'function', 'of', 'the', 'model', 'parameter', 'omega', 'is', 'analytically', 'found', 'using', 'the', 'same', 'method', 'we', 'also', 'calculate', 'the', 'next', 'to', 'nearest', 'neighbor', 'spinspin', 'correlation', 'function', 'in', 'the', 'limit', 'omega', '0', 'it', 'reproduces', 'the', 'known', 'result', 'for', 'the', 'vacuum', 'expectation', 'value', 'of', 'the', 'next', 'to', 'nearest', 'neighbor', 'spins', 'in', 'the', 'standard', 'heisenberg', 'spin', 'chain', 'the', 'technique', 'is', 'simple', 'and', 'can', 'be', 'extended', 'for', 'calculation', 'of', 'next', 'to', 'next', 'to', 'nearest', 'neighbor', 'correlation', 'functions', 'as', 'well', 'as', 'for', 'calculation', 'of', 'correlation', 'functions', 'in', 'xxz', 'model']] | [-0.10522522566108299, 0.06915806654641139, 0.0043399293333225486, 0.15566715005011897, -0.045918963117791076, -0.14200212637661025, 0.05035360109260572, 0.4175578716344067, -0.26967288140856127, -0.24649047541398822, 0.05393425833192721, -0.30548543967285824, -0.1314630351262167, 0.15620522822220145, 0.1708367875253316, 0.041743512909826155, -0.013846734700824268, 0.09238512019094612, -0.12721523821320652, -0.20943502081458323, 0.26614556215216517, 0.06380138815646726, 0.22695882367302797, 0.06905153352584291, 0.06822457773211811, 0.11549944793971788, 0.05313370980937699, -0.019636860732654377, -0.14022532233086946, 0.06815752863518096, 0.18898195528267284, 0.029526553150000318, 0.221547883394773, -0.35121594931531164, -0.14446567768962787, 0.11881596808858116, 0.1888693095700416, 0.16685768763168848, 0.04482693609939555, -0.26359367377257775, 0.04087214255456014, -0.2426640073307291, -0.19508884607681207, -0.10675437326842387, 0.05658659822906235, 0.04606846302340273, -0.34835448449510814, 0.14168228819133738, 0.03569575629600357, -0.028315777033900043, -0.05632508111635356, -0.11834126118420889, -0.0005249426592074867, 0.15868370801243664, 0.04204525313574387, 0.1308656332003011, 0.06657416440014328, -0.11957879801047966, -0.13803498536539596, 0.35634600888339, -0.14546239612744621, -0.2180838649926175, 0.11188831424390498, -0.17731642806237297, -0.137896595996738, 0.028160542555269785, 0.1354052695533028, 0.11836354024126194, -0.20044323792847404, 0.11573169794844164, -0.007431524847301522, 0.15394687968572335, -0.020672455155623277, -0.0023986343460689697, 0.17509213077469862, 0.14171510428111236, 0.09352358770723056, 0.19616923789622628, -0.12188692142288866, -0.15510059022926725, -0.2740589268172958, -0.14432097401212168, -0.2955097835510969, 0.007289529595124934, -0.14270433916135516, -0.17401532698464248, 0.40897608602452756, 0.1573069940129455, 0.19169420446269214, 0.08879993940770094, 0.24593013868018584, 0.1503352580943361, 0.091478295719883, 0.022352055821102113, 0.23272032531011583, 0.15836135521281644, 0.02046458499639162, -0.23022690140143304, 0.04512142640305683, 0.1501343149076482] |
709.2482 | Normal form of m-by-n-by-2 matrices for equivalence | We give a canonical form of m-by-2-by-2 spatial matrices for equivalence over
any field.
| math.RT | we give a canonical form of mby2by2 spatial matrices for equivalence over any field | [['we', 'give', 'a', 'canonical', 'form', 'of', 'mby2by2', 'spatial', 'matrices', 'for', 'equivalence', 'over', 'any', 'field']] | [-0.19374565615390354, 0.08399596631240386, -0.10651576031859104, 0.08101866422937466, -0.03442268517728035, -0.09671822688184105, -0.011459179437504364, 0.380961421590585, -0.23358856299175665, -0.22000157163263515, 0.017418452431089602, -0.13336564084658256, -0.1323042596475436, 0.1772001855648481, -0.014798385807527946, -0.07177584945636156, 0.03732498131620769, 0.11241426519476451, -0.25819656596733975, -0.22394206202947176, 0.4341980688847028, -0.03619174888500801, 0.18706108522243226, -0.0003409670809140572, 0.2563040912724458, 0.08237169460894969, 0.03422607567447882, 0.05937023009531773, -0.10918341655857287, 0.10485254400051557, 0.25626989425374913, 0.21067138395021454, 0.2091891018745418, -0.42131319957283825, -0.17708492139354348, 0.25224225803350026, 0.1048938764187579, 0.10298412028126992, -0.04597059909540873, -0.21695490181446075, 0.11850725273633053, -0.16030598933307025, -0.09879201607635388, -0.1253909252655621, 0.048241116939327464, 0.013607601563517865, -0.36094091832637787, 0.026208560054118816, 0.1095930624466676, 0.1829742857326682, -0.06873301316339236, -0.08618347289470527, 0.1265063429108033, 0.08889315875533682, -0.04518980919741667, -0.010110910838613143, 0.04021613160148263, -0.06924674989512333, -0.0921334340595282, 0.33324774583944905, -0.09866242397290009, -0.2851850055158138, 0.09507168342287724, -0.1361826598071135, -0.10666825851568809, 0.13290925710820234, 0.13933275525386518, 0.0726449700215688, -0.08932361350609706, 0.20124789126790488, -0.1534361196681857, 0.13853921497670504, 0.1087007372854994, 0.05314693886500139, 0.19213200106213874, 0.03052558133808466, 0.13250314702208227, 0.1343143662581077, 0.003938966072522677, -0.10580785988041988, -0.3576366374125847, -0.28733698543734276, -0.09942168570481814, 0.19589394560227028, -0.22383179490526134, -0.22531489426126847, 0.4409756815741555, 0.12416945655758564, 0.24832665289823824, 0.17687089483325297, 0.19796380737366584, 0.11774562877746156, 0.11398004726148568, 0.06595605919853999, 0.122549707786395, 0.2719930542203096, -0.0004745462927250908, -0.07718516914890362, -0.03235995543834109, 0.15707569655317527] |
709.2483 | Quantum Thetas on Noncommutative T^d with General Embeddings | In this paper we construct quantum theta functions over noncommutative T^d
with general embeddings. Manin has constructed quantum theta functions from the
lattice embedding into vector space x finite group. We extend Manin's
construction of quantum thetas to the case of general embedding of vector space
x lattice x torus. It turns out that only for the vector space part of the
embedding there exists the holomorphic theta vector, while for the lattice part
there does not. Furthermore, the so-called quantum translations from embedding
into the lattice part become non-additive, while those from the vector space
part are additive.
| math-ph math.MP | in this paper we construct quantum theta functions over noncommutative td with general embeddings manin has constructed quantum theta functions from the lattice embedding into vector space x finite group we extend manins construction of quantum thetas to the case of general embedding of vector space x lattice x torus it turns out that only for the vector space part of the embedding there exists the holomorphic theta vector while for the lattice part there does not furthermore the socalled quantum translations from embedding into the lattice part become nonadditive while those from the vector space part are additive | [['in', 'this', 'paper', 'we', 'construct', 'quantum', 'theta', 'functions', 'over', 'noncommutative', 'td', 'with', 'general', 'embeddings', 'manin', 'has', 'constructed', 'quantum', 'theta', 'functions', 'from', 'the', 'lattice', 'embedding', 'into', 'vector', 'space', 'x', 'finite', 'group', 'we', 'extend', 'manins', 'construction', 'of', 'quantum', 'thetas', 'to', 'the', 'case', 'of', 'general', 'embedding', 'of', 'vector', 'space', 'x', 'lattice', 'x', 'torus', 'it', 'turns', 'out', 'that', 'only', 'for', 'the', 'vector', 'space', 'part', 'of', 'the', 'embedding', 'there', 'exists', 'the', 'holomorphic', 'theta', 'vector', 'while', 'for', 'the', 'lattice', 'part', 'there', 'does', 'not', 'furthermore', 'the', 'socalled', 'quantum', 'translations', 'from', 'embedding', 'into', 'the', 'lattice', 'part', 'become', 'nonadditive', 'while', 'those', 'from', 'the', 'vector', 'space', 'part', 'are', 'additive']] | [-0.13474582661545337, 0.14520877236594457, -0.05968151207674633, 0.05665824193897836, -0.10174949047616635, -0.1302437885109373, 0.040294177191698866, 0.3806476549085493, -0.33715040966717885, -0.13642631032776953, 0.07459541700305324, -0.2795388404646832, -0.1798403720263241, 0.17195195594633167, -0.04020725648774944, 0.033292486050137966, 0.01625967351249372, 0.08808307074753549, -0.14278634767179763, -0.3078069124050965, 0.40061602801686585, -0.05107662732233152, 0.23391610646921426, -0.015464103653688322, 0.15724769455728807, 0.09143648687938247, -0.01166156204323275, -0.017196378436626282, -0.13009761381376067, 0.14692390997038043, 0.2731640717729625, 0.07281759701612772, 0.2147270625720572, -0.33218789313251923, -0.24550424086963618, 0.18063296308985563, 0.11334737209659634, 0.05338710600585498, -0.004370549957108016, -0.2800160560620516, 0.08011794034297569, -0.13991417312486606, -0.07596706825242651, -0.13759680634195154, 0.04542574646760418, -0.06783264277225379, -0.22770209270858704, -0.03279135919956848, 0.13256772761844626, 0.049922689600292634, -0.05565147709120253, -0.13412357521281024, -0.038401356747731416, 0.0914246379350773, 0.018439108629903823, 0.17001499286782223, 0.058627385994174865, -0.09362212525012743, -0.08750771937628436, 0.4005024326457219, -0.07135945174965368, -0.2928881823376875, 0.08980962099987223, -0.1777574582815622, -0.1455527379817207, 0.11084671995856545, 0.1382048608584687, 0.09395495475730811, -0.024077546829828107, 0.2487066996970562, -0.11094111554098851, 0.14719073258039325, 0.06136839875876151, 0.03322100940494412, 0.1788877851395595, 0.039863130256458365, 0.08236727333919268, 0.15694417800716678, -0.02714560457006699, -0.18402192577357507, -0.38065602996320735, -0.1738295260222389, -0.1718972066248005, 0.14510783123694987, -0.11307124635486891, -0.19112038044164878, 0.35581036444490005, 0.05786713509293593, 0.21865279336619858, 0.06280968352567846, 0.20680917873202512, 0.08061546031232791, 0.08576968364944362, 0.08352685176927332, 0.15135686279561447, 0.14246356841929333, 0.02133694973967104, -0.10536383365038689, -0.027381011181407504, 0.19067576998901187] |
709.2484 | Effect of Motion of the Reference Frame on Geometrical Form of the Line
of Monopole Singularity | The monopole singularity string, infinite direct line in the rest reference
frame, is considered as a rigid physical line, and behavior of its geometrical
form under the Lorentz transformations is studied. The method to test the form
of any rigid line or surface in relativistical terms is based on the use of
light signals emitted from the origin of the reference frame. Influence of the
motion of the reference frame on the form of singularity line is as follows:
(1) in general case, when the line does not go through the origin of the rest
reference frame the line in the moving reference frame becomes a hyperbola; (2)
in the special case, when the line of singularity goes through the origin of
the rest reference frame, the line in the moving reference preserves its form
only modified by the relativistical aberration effect.
| physics.class-ph | the monopole singularity string infinite direct line in the rest reference frame is considered as a rigid physical line and behavior of its geometrical form under the lorentz transformations is studied the method to test the form of any rigid line or surface in relativistical terms is based on the use of light signals emitted from the origin of the reference frame influence of the motion of the reference frame on the form of singularity line is as follows 1 in general case when the line does not go through the origin of the rest reference frame the line in the moving reference frame becomes a hyperbola 2 in the special case when the line of singularity goes through the origin of the rest reference frame the line in the moving reference preserves its form only modified by the relativistical aberration effect | [['the', 'monopole', 'singularity', 'string', 'infinite', 'direct', 'line', 'in', 'the', 'rest', 'reference', 'frame', 'is', 'considered', 'as', 'a', 'rigid', 'physical', 'line', 'and', 'behavior', 'of', 'its', 'geometrical', 'form', 'under', 'the', 'lorentz', 'transformations', 'is', 'studied', 'the', 'method', 'to', 'test', 'the', 'form', 'of', 'any', 'rigid', 'line', 'or', 'surface', 'in', 'relativistical', 'terms', 'is', 'based', 'on', 'the', 'use', 'of', 'light', 'signals', 'emitted', 'from', 'the', 'origin', 'of', 'the', 'reference', 'frame', 'influence', 'of', 'the', 'motion', 'of', 'the', 'reference', 'frame', 'on', 'the', 'form', 'of', 'singularity', 'line', 'is', 'as', 'follows', '1', 'in', 'general', 'case', 'when', 'the', 'line', 'does', 'not', 'go', 'through', 'the', 'origin', 'of', 'the', 'rest', 'reference', 'frame', 'the', 'line', 'in', 'the', 'moving', 'reference', 'frame', 'becomes', 'a', 'hyperbola', '2', 'in', 'the', 'special', 'case', 'when', 'the', 'line', 'of', 'singularity', 'goes', 'through', 'the', 'origin', 'of', 'the', 'rest', 'reference', 'frame', 'the', 'line', 'in', 'the', 'moving', 'reference', 'preserves', 'its', 'form', 'only', 'modified', 'by', 'the', 'relativistical', 'aberration', 'effect']] | [-0.12669118567579754, 0.04491985456126047, -0.07298158503442505, 0.025590196519747414, -0.0817755299003821, -0.1205602778961331, 0.02342024524032112, 0.37897569091964356, -0.233305074307333, -0.22334894181137355, 0.07229939422038921, -0.2689075302349036, -0.06890587087779661, 0.1392165179393897, -0.031340450901065915, 0.013177198202932961, 0.028246820537032376, 0.13739411067217588, -0.10031005633260373, -0.14610631191368464, 0.338906476890642, 0.09414072997513896, 0.2931340100066605, -0.014936146771118805, 0.08211311749117055, 0.05128076070145717, -0.038955302968044093, 0.04019448815674429, -0.07043259818775868, 0.05798459841056504, 0.15172597764610823, 0.12693070050027275, 0.22509652509970565, -0.39890086876464564, -0.19780077614729674, 0.08115844359427926, 0.1277229370300094, 0.1216491494773769, -0.010467652967658786, -0.2783399254975604, 0.048498921066811175, -0.09534408508891791, -0.1886639445069128, 0.07486300528193758, 0.04693340970544328, 0.03864223115034664, -0.17408353224409823, 0.05287784666911712, 0.09554567782234558, 0.08168148908200083, -0.09561671730963854, -0.02938165372601566, -0.030582743959212805, 0.1436726663521537, 0.07676645612317912, 0.0645695732263717, 0.1901607781543698, -0.09741093350810484, -0.046566212077585746, 0.5069604845796253, -0.10567702111725787, -0.24896763773425154, 0.13016388446099164, -0.1545556318047653, -0.069276849416242, 0.16542554550728775, 0.1122544080307576, 0.12845623204615755, -0.1035295335133642, 0.11392342161451152, -0.03650270425386622, 0.129175744376893, 0.11605179459873168, 0.008129520038828175, 0.23316366144810136, 0.07949879865529356, 0.022898120785945317, 0.12602355795532044, -0.1341691366265672, -0.10099949122859087, -0.4052549543356831, -0.17578013953556057, -0.17805464987308575, 0.039021616304907324, -0.07451965500041924, -0.1653086760763446, 0.3725435386779128, 0.07477148741641094, 0.2511997397129857, -0.002794166643198737, 0.2971137952531727, 0.10826543705295247, 0.053955243582325715, 0.039439931862764586, 0.29382626401608103, 0.08794104791423438, 0.1031691417373507, -0.21110831320443205, 0.03247872885959354, 0.09597569270531686] |
709.2485 | Canonical matrices for linear matrix problems | We consider a large class of matrix problems, which includes the problem of
classifying arbitrary systems of linear mappings. For every matrix problem from
this class, we construct Belitskii's algorithm for reducing a matrix to a
canonical form, which is the generalization of the Jordan normal form, and
study the set C(m,n) of indecomposable canonical m-by-n matrices. Considering
C(m,n) as a subset in the affine space of m-by-n matrices, we prove that either
C(m,n) consists of a finite number of points and straight lines for every
(m,n), or C(m,n) contains a 2-dimensional plane for a certain (m,n).
| math.RT | we consider a large class of matrix problems which includes the problem of classifying arbitrary systems of linear mappings for every matrix problem from this class we construct belitskiis algorithm for reducing a matrix to a canonical form which is the generalization of the jordan normal form and study the set cmn of indecomposable canonical mbyn matrices considering cmn as a subset in the affine space of mbyn matrices we prove that either cmn consists of a finite number of points and straight lines for every mn or cmn contains a 2dimensional plane for a certain mn | [['we', 'consider', 'a', 'large', 'class', 'of', 'matrix', 'problems', 'which', 'includes', 'the', 'problem', 'of', 'classifying', 'arbitrary', 'systems', 'of', 'linear', 'mappings', 'for', 'every', 'matrix', 'problem', 'from', 'this', 'class', 'we', 'construct', 'belitskiis', 'algorithm', 'for', 'reducing', 'a', 'matrix', 'to', 'a', 'canonical', 'form', 'which', 'is', 'the', 'generalization', 'of', 'the', 'jordan', 'normal', 'form', 'and', 'study', 'the', 'set', 'cmn', 'of', 'indecomposable', 'canonical', 'mbyn', 'matrices', 'considering', 'cmn', 'as', 'a', 'subset', 'in', 'the', 'affine', 'space', 'of', 'mbyn', 'matrices', 'we', 'prove', 'that', 'either', 'cmn', 'consists', 'of', 'a', 'finite', 'number', 'of', 'points', 'and', 'straight', 'lines', 'for', 'every', 'mn', 'or', 'cmn', 'contains', 'a', '2dimensional', 'plane', 'for', 'a', 'certain', 'mn']] | [-0.16846453151713633, 0.07576190599794835, 0.037556044085277726, 0.0016445568618700676, -0.03528757792772706, -0.13449655875045152, 0.03755137561964467, 0.32359462488711493, -0.30024503555494486, -0.2003853182241167, 0.10792008170872427, -0.2927175424512975, -0.17913663416642445, 0.1626065312428688, -0.053032189598018975, 0.018141016056857157, 0.057478672868005704, 0.06711084231585457, -0.15443074038569077, -0.23173222159270734, 0.3787588033460311, -0.0730289112891733, 0.19696572842556484, -0.04355471791968364, 0.18254248229978778, 0.054732058672522454, -0.00174833972909555, 0.07310719642585345, -0.06785227329334899, 0.1225532800728484, 0.29473251676590173, 0.1665539168776733, 0.2508995719254017, -0.3473387905222498, -0.16471907699999122, 0.24092333540128372, 0.10209825387243758, 0.08305382087932343, -0.037188188823362445, -0.2117594190412345, 0.12794539728411952, -0.13574192232269908, -0.1281549174521003, -0.010911171485372271, 0.06073402695492217, 0.012940356121446514, -0.33435476365854444, -0.006792620237263822, 0.09306774556291164, 0.06590844787367423, -0.056040375757501606, -0.14540653974873965, 0.01783717324064334, 0.08452484567803283, -0.07418489510783945, 0.030296507275893746, 0.0616639625018861, -0.047846749967105744, -0.07375528898627795, 0.3937478974154315, -0.036073686823863346, -0.27144438499757617, 0.10115297856520425, -0.11852170955197713, -0.1563799235916975, 0.12261948698037065, 0.16705753768016537, 0.14627539573870985, -0.0861776790380017, 0.20114633076963467, -0.17138718604350212, 0.11185786509214296, 0.059605979975120925, -0.017339379269840943, 0.150944870589397, 0.12565895729727045, 0.1178868948337958, 0.1816833340736903, -0.02078221947646018, -0.014907941222190857, -0.31492314460812154, -0.2222669885887467, -0.18991276822124906, 0.11758207716287795, -0.14437094837704376, -0.26731917231353286, 0.3947682275926483, 0.027597963082671317, 0.27189383595298555, 0.10153391954402641, 0.1960604141955984, 0.0697691743959704, 0.039672365637745746, 0.07982435857531489, 0.0711480577994791, 0.18443317092551859, -0.012611587810301288, -0.14648951730599685, -0.00021857848947810142, 0.1885980288690129] |
709.2486 | Field equations of electromagnetic and gravitational fields | The paper studies the validity of Maxwell equation in the case for
coexistence of electromagnetic field and gravitational field. With the algebra
of quaternions, the Newton's law of gravitation is the same as that in
classical theory of gravitational field. Meanwhile the Maxwell equation is
identical with that in classical theory of electromagnetic field. And the
related conclusions can be spread to the case for coexistence of
electromagnetic field and gravitational field by the algebra of octonions. The
study claims that Maxwell equation keeps unchanged in the case for coexistence
of gravitational field and electromagnetic field, except for the direction of
displacement current.
| physics.gen-ph | the paper studies the validity of maxwell equation in the case for coexistence of electromagnetic field and gravitational field with the algebra of quaternions the newtons law of gravitation is the same as that in classical theory of gravitational field meanwhile the maxwell equation is identical with that in classical theory of electromagnetic field and the related conclusions can be spread to the case for coexistence of electromagnetic field and gravitational field by the algebra of octonions the study claims that maxwell equation keeps unchanged in the case for coexistence of gravitational field and electromagnetic field except for the direction of displacement current | [['the', 'paper', 'studies', 'the', 'validity', 'of', 'maxwell', 'equation', 'in', 'the', 'case', 'for', 'coexistence', 'of', 'electromagnetic', 'field', 'and', 'gravitational', 'field', 'with', 'the', 'algebra', 'of', 'quaternions', 'the', 'newtons', 'law', 'of', 'gravitation', 'is', 'the', 'same', 'as', 'that', 'in', 'classical', 'theory', 'of', 'gravitational', 'field', 'meanwhile', 'the', 'maxwell', 'equation', 'is', 'identical', 'with', 'that', 'in', 'classical', 'theory', 'of', 'electromagnetic', 'field', 'and', 'the', 'related', 'conclusions', 'can', 'be', 'spread', 'to', 'the', 'case', 'for', 'coexistence', 'of', 'electromagnetic', 'field', 'and', 'gravitational', 'field', 'by', 'the', 'algebra', 'of', 'octonions', 'the', 'study', 'claims', 'that', 'maxwell', 'equation', 'keeps', 'unchanged', 'in', 'the', 'case', 'for', 'coexistence', 'of', 'gravitational', 'field', 'and', 'electromagnetic', 'field', 'except', 'for', 'the', 'direction', 'of', 'displacement', 'current']] | [-0.19279918449510394, 0.12337816432480095, -0.07289640857720549, 0.026311984360308467, -0.1120826793310133, -0.07078997298026259, -0.057548617872915875, 0.27121381120738186, -0.2325117644826764, -0.2911958240008759, 0.057599089734563694, -0.23119186403826603, -0.16688035670848725, 0.19834104383780252, 0.007037249203879856, -0.019238928983946448, -0.028394204189150948, 0.08662997710618, -0.05055049110827877, -0.21420916674423565, 0.39053931740537573, 0.05427726378519703, 0.2542165863300556, 0.00967703522770729, 0.09345437969686915, 0.05806468326363315, 0.005641449581904029, 0.07023927538646656, -0.06560611512247208, 0.03452757840017671, 0.18298036172913695, 0.09102218546588155, 0.2227917428182673, -0.4437075947745911, -0.21260049586518875, 0.0721365244950629, 0.1374696694875082, 0.13615957887174146, -0.05886764363250108, -0.28471996657125365, 0.052983162747198734, -0.13508745733178357, -0.21068176818396717, -0.010168426864536352, 0.05282058077864349, 0.07203949627000839, -0.22485059729406556, 0.10185533230310505, 0.04200656655542914, 0.05486151808420721, -0.1628759791260784, -0.07266533165012748, 0.02172045833747653, 0.08220753492335382, 0.1539786996600191, 0.09906102417859709, 0.13449886266720815, -0.20821221805747273, -0.1152176476327829, 0.4275226906231306, -0.10603166662622243, -0.2036863522563419, 0.11457833870160349, -0.22579715362053762, -0.07413142410025579, 0.1339059204102756, 0.10952678368001886, 0.07997457126701688, -0.1348714409486472, 0.17137312160090554, -0.032255297391087685, 0.09472711427697858, 0.07330070873632015, 0.008804358103430098, 0.23553445044954677, 0.07601771132966269, 0.010132423158988211, 0.10288984303982042, -0.026615207743586847, -0.1416133461718999, -0.37033535865614714, -0.2155871531266032, -0.17539928909572003, 0.07425099201681255, -0.10779581088188457, -0.17286271767383352, 0.3928347445518068, 0.17890274285867774, 0.020303780194914457, 0.042261182457136295, 0.2650920426093259, 0.1494882879586601, 0.06001879576394714, 0.04066587468265619, 0.3569365624808571, 0.2637834298058223, 0.1613717353303727, -0.24126497667861505, -0.06668893595958508, 0.05751212402382522] |
709.2487 | Exploring the QCD phase structure with density fluctuations | We briefly summarize the properties of conserved charge fluctuations as a
sensitive probe for the QCD phase transitions. We discuss the density
fluctuations which play a significant role to search for the critical end
point. The importance of spinodal instabilities to distinguish the first-order
phase transition is also indicated.
| hep-ph nucl-th | we briefly summarize the properties of conserved charge fluctuations as a sensitive probe for the qcd phase transitions we discuss the density fluctuations which play a significant role to search for the critical end point the importance of spinodal instabilities to distinguish the firstorder phase transition is also indicated | [['we', 'briefly', 'summarize', 'the', 'properties', 'of', 'conserved', 'charge', 'fluctuations', 'as', 'a', 'sensitive', 'probe', 'for', 'the', 'qcd', 'phase', 'transitions', 'we', 'discuss', 'the', 'density', 'fluctuations', 'which', 'play', 'a', 'significant', 'role', 'to', 'search', 'for', 'the', 'critical', 'end', 'point', 'the', 'importance', 'of', 'spinodal', 'instabilities', 'to', 'distinguish', 'the', 'firstorder', 'phase', 'transition', 'is', 'also', 'indicated']] | [-0.16454121394425023, 0.23931743081050869, -0.12209043727845562, 0.13842448538254795, -0.020886962682160795, -0.0498806112873539, 0.08076292640833678, 0.2904283586813479, -0.23795898393632806, -0.23253555383001054, 0.11143536949340178, -0.30437004397034034, -0.16478974079447134, 0.0762372466840078, 0.06752343445408102, 0.010665673952625722, -0.04217934935372703, 0.006332264319822496, -0.12501103417206633, -0.11504815127320435, 0.34993219178892215, 0.08159653430006333, 0.3001125897756036, 0.13887785389373192, 0.017751117750089997, -0.043563495627699456, -0.027854675398569326, 0.026227245686993916, -0.20944075807168774, -0.031378139846254975, 0.2921820197786604, 0.035324029391631484, 0.1907318228456591, -0.3921109129655726, -0.2301109276559888, 0.15665385018254877, 0.1491331375793231, 0.1412446135916386, -0.12414979183932348, -0.2485266717397893, 0.03254166123818378, -0.11349900986771194, -0.18602121974892763, -0.13878580829014583, 0.017126985236394162, 0.021268759797118147, -0.2453406899407202, 0.09534207573196167, 0.053602829575538635, 0.011274476920501614, -0.010746796033345163, -0.11784263704048127, -0.04994976500106253, 0.13759600132114577, 0.0560578101989338, 0.09043644608131476, 0.22065637434585667, -0.17598205843788325, -0.09859805147410655, 0.4000952246845985, -0.03534703561085827, -0.09032816716412805, 0.15805208536663226, -0.13656298944498507, -0.19448481720625138, 0.1560206294953063, 0.16378498287415322, 0.09177396402751305, -0.08888385764190129, -0.005992201023868152, 0.11079827353728897, 0.16514396488165237, 0.010408700833439219, 0.09711797938359026, 0.3173054641454804, 0.18841057124414615, 0.02935465169614371, 0.1812042693930621, -0.12142670616431504, -0.19415491274843105, -0.35759280902352564, -0.18914214232746435, -0.14103570666012108, -0.009191073476674264, -0.08841996942171637, -0.17742082134497408, 0.41732081177891517, 0.26610408491474025, 0.21587534007445283, -0.07236145577174896, 0.24277396926808417, 0.1275251940895366, 0.002151974362834376, 0.010252170017635336, 0.3233216880126951, 0.15549915607030296, 0.14802662132079808, -0.29141450332173585, 0.048011693989439885, 0.08237775122955898] |
709.2488 | Complexity of matrix problems | In representation theory, the problem of classifying pairs of matrices up to
simultaneous similarity is used as a measure of complexity; classification
problems containing it are called wild problems. We show in an explicit form
that this problem contains all classification matrix problems given by quivers
or posets. Then we prove that it does not contain (but is contained in) the
problem of classifying three-valent tensors. Hence, all wild classification
problems given by quivers or posets have the same complexity; moreover, a
solution of any one of these problems implies a solution of each of the others.
The problem of classifying three-valent tensors is more complicated.
| math.RT | in representation theory the problem of classifying pairs of matrices up to simultaneous similarity is used as a measure of complexity classification problems containing it are called wild problems we show in an explicit form that this problem contains all classification matrix problems given by quivers or posets then we prove that it does not contain but is contained in the problem of classifying threevalent tensors hence all wild classification problems given by quivers or posets have the same complexity moreover a solution of any one of these problems implies a solution of each of the others the problem of classifying threevalent tensors is more complicated | [['in', 'representation', 'theory', 'the', 'problem', 'of', 'classifying', 'pairs', 'of', 'matrices', 'up', 'to', 'simultaneous', 'similarity', 'is', 'used', 'as', 'a', 'measure', 'of', 'complexity', 'classification', 'problems', 'containing', 'it', 'are', 'called', 'wild', 'problems', 'we', 'show', 'in', 'an', 'explicit', 'form', 'that', 'this', 'problem', 'contains', 'all', 'classification', 'matrix', 'problems', 'given', 'by', 'quivers', 'or', 'posets', 'then', 'we', 'prove', 'that', 'it', 'does', 'not', 'contain', 'but', 'is', 'contained', 'in', 'the', 'problem', 'of', 'classifying', 'threevalent', 'tensors', 'hence', 'all', 'wild', 'classification', 'problems', 'given', 'by', 'quivers', 'or', 'posets', 'have', 'the', 'same', 'complexity', 'moreover', 'a', 'solution', 'of', 'any', 'one', 'of', 'these', 'problems', 'implies', 'a', 'solution', 'of', 'each', 'of', 'the', 'others', 'the', 'problem', 'of', 'classifying', 'threevalent', 'tensors', 'is', 'more', 'complicated']] | [-0.11587098012085266, 0.0457996720815229, -0.02989871976545678, 0.08511044742442879, -0.08100983909252188, -0.1461186410534143, -0.004499489148279195, 0.3501723464754111, -0.3274753171739713, -0.2655940208153553, 0.14147594255803786, -0.28488191075289165, -0.1961319087960599, 0.1787192363045969, -0.15488434462579634, 0.0156108774200855, 0.10794634266782833, 0.10395954145153738, -0.09304039906446804, -0.3323337077866045, 0.36499889951006, -0.0702641544476995, 0.23558157721956102, 0.04514059981436662, 0.13162122847059882, 0.00131488550577383, -0.024110026411571592, 0.073549699161272, -0.04756328587067195, 0.15621216312920638, 0.31634691114238694, 0.20531947834127284, 0.26667866425123066, -0.3566755233332515, -0.19819122050858085, 0.22070607839960535, 0.15189657982807817, 0.12318699629889485, -0.004449625891212699, -0.24169735800264017, 0.1417872234959296, -0.1312368606845409, -0.09252494180856168, -0.06569173883093204, 0.05082530247152976, -0.02340429722559902, -0.25010095964150747, 0.0594845374624403, 0.090901349323861, 0.05074217901477274, -0.10730485530473503, -0.10300247885181375, 0.014306581761459556, 0.14864843227584265, 0.007556009310613966, -0.005958020686005014, 0.03268809042396551, -0.1638202850203324, -0.16552378667325204, 0.4201097281403699, 0.04916779197014447, -0.273338649378, 0.1640857757719339, -0.08354740268726535, -0.18273970250585028, 0.1450578577768163, 0.13280393624291667, 0.17733201058581471, -0.11102933495498772, 0.1242908769427746, -0.12595456479257852, 0.14255021879765786, 0.10292324396992489, -0.017449467882232846, 0.13811407250545496, 0.1492719809120556, 0.11404225049443754, 0.1603994000492231, 0.02531552319151332, 0.004216726293857649, -0.2676870247595153, -0.14924378758999254, -0.16761904018535717, 0.030535002173290297, -0.1049333095532965, -0.22991005595738315, 0.3807247673525949, 0.11680003847786279, 0.20007313801116258, 0.08970378867936989, 0.22461041952219774, 0.08050107256452255, 0.08730947939823996, 0.07443647630038266, 0.1281554042976701, 0.13037251310756887, 0.006818391171828756, -0.13185267602884262, 0.04732395466285283, 0.1646346374533473] |
709.2489 | Congruences of a square matrix and its transpose | It is known that any square matrix over any field F is congruent to its
transpose. We show that they are also *congruent with respect to any
nonidentity involution on F.
| math.RT | it is known that any square matrix over any field f is congruent to its transpose we show that they are also congruent with respect to any nonidentity involution on f | [['it', 'is', 'known', 'that', 'any', 'square', 'matrix', 'over', 'any', 'field', 'f', 'is', 'congruent', 'to', 'its', 'transpose', 'we', 'show', 'that', 'they', 'are', 'also', 'congruent', 'with', 'respect', 'to', 'any', 'nonidentity', 'involution', 'on', 'f']] | [-0.16764741144593684, 0.11667757018679573, -0.039950006310978246, -0.02756852803060845, -0.07624011065420364, -0.21041149560422187, -0.038703873723505006, 0.47312799865199673, -0.33068351405522517, -0.20595236260241137, 0.11069718037822074, -0.3476197851761695, -0.2020891653674264, 0.1560825463985243, -0.16190409444032178, -0.003560439865630601, 0.03851029970833371, 0.22026484399553267, -0.14183460702113207, -0.3561174972884117, 0.3292293132793519, -0.05865964179317797, 0.13237657124597219, 0.01738082571706224, 0.08803504344917112, -0.03251732502793593, 0.048370074210388046, 0.020246809799103968, -0.09818987414896142, 0.04414067868774216, 0.21954357011183614, 0.14747296109975827, 0.19659264445785554, -0.3350274159062293, -0.1261884245510784, 0.28841015150124627, 0.08713309155897267, -0.019182476064851208, 0.009235516592349497, -0.19652395310901827, 0.20365257296831377, -0.1105812413227414, -0.1263532621495899, -0.10731978096338289, 0.10974512544024977, 0.017925564079515396, -0.3124802568026127, -0.041464655878840975, 0.14622819814230165, 0.08110840267111216, -0.03267817609688087, -0.1763975595634791, -0.06329420881886635, 0.07740133496061448, -0.005602908005276995, 0.15595864050931507, 0.09663480191281246, -0.0317137777925499, -0.0742332192077752, 0.3914657643725795, -0.025097119772145824, -0.3156540837859915, 0.16411413636899763, -0.20474594410869382, -0.09498687378401237, 0.15394593285576952, 0.03545003600658909, 0.08047570852983382, -0.02458742315009717, 0.184670859737502, -0.1792874398130563, 0.2602549034260934, 0.10387463697923287, -0.0685196278256274, 0.1262445569849543, -0.030678147390004126, 0.18869028465762253, 0.10260644675262513, 0.02407736590342416, 0.017730585735050902, -0.35383071335813693, -0.20783990364701999, -0.2417474506543048, 0.11445845657538983, -0.07418868913044853, -0.18220256497302362, 0.3216157532747715, 0.13425647157935366, 0.14941437608532368, 0.09656870308061762, 0.23384465301229107, 0.11422341325951199, 0.17681249788391493, 0.08502100969875051, 0.0833055745930441, 0.19749192581061395, -0.10258501215702703, -0.18951180520197075, 0.025840369203398304, 0.043275216173741124] |
709.249 | Semiclassical limit of the scattering cross section as a distribution | We consider quantum scattering from a compactly supported potential $q$. The
semiclassical limit amounts to letting the wavenumber $k \to \infty$ while
rescaling the potential as $k^2 q$ (alternatively, one can scale Planck's
constant $\hbar \searrow 0$). It is well-known that, under appropriate
conditions, for $\om \in \bbS_{n-1}$ such that there is exactly one outgoing
ray with direction $\om$ (in the sense of geometric optics), the differential
scattering cross section $|f(\om,k)|^{2}$ tends to the classical differential
cross section $|f_{cl}(\om)|^2$ as $k \uparrow \infty$. It is also clear that
the same can not be true if there is more than one outgoing ray with direction
$\om$ or for \emph{nonregular} directions (including the forward direction
$\theta_0$). However, based on physical intuition, one could conjecture $|f|^2
\to |f_{cl}|^2 + \sigma_{cl} \delta_{\theta_0}$ where $|f_{cl}|^2$ is the
classical cross section and $\delta_{\theta_0}$ is the Dirac measure supported
at the forward direction $\theta_0$. The aim of this paper is to prove this
conjecture.
| math-ph math.MP | we consider quantum scattering from a compactly supported potential q the semiclassical limit amounts to letting the wavenumber k to infty while rescaling the potential as k2 q alternatively one can scale plancks constant hbar searrow 0 it is wellknown that under appropriate conditions for om in bbs_n1 such that there is exactly one outgoing ray with direction om in the sense of geometric optics the differential scattering cross section fomk2 tends to the classical differential cross section f_clom2 as k uparrow infty it is also clear that the same can not be true if there is more than one outgoing ray with direction om or for emphnonregular directions including the forward direction theta_0 however based on physical intuition one could conjecture f2 to f_cl2 sigma_cl delta_theta_0 where f_cl2 is the classical cross section and delta_theta_0 is the dirac measure supported at the forward direction theta_0 the aim of this paper is to prove this conjecture | [['we', 'consider', 'quantum', 'scattering', 'from', 'a', 'compactly', 'supported', 'potential', 'q', 'the', 'semiclassical', 'limit', 'amounts', 'to', 'letting', 'the', 'wavenumber', 'k', 'to', 'infty', 'while', 'rescaling', 'the', 'potential', 'as', 'k2', 'q', 'alternatively', 'one', 'can', 'scale', 'plancks', 'constant', 'hbar', 'searrow', '0', 'it', 'is', 'wellknown', 'that', 'under', 'appropriate', 'conditions', 'for', 'om', 'in', 'bbs_n1', 'such', 'that', 'there', 'is', 'exactly', 'one', 'outgoing', 'ray', 'with', 'direction', 'om', 'in', 'the', 'sense', 'of', 'geometric', 'optics', 'the', 'differential', 'scattering', 'cross', 'section', 'fomk2', 'tends', 'to', 'the', 'classical', 'differential', 'cross', 'section', 'f_clom2', 'as', 'k', 'uparrow', 'infty', 'it', 'is', 'also', 'clear', 'that', 'the', 'same', 'can', 'not', 'be', 'true', 'if', 'there', 'is', 'more', 'than', 'one', 'outgoing', 'ray', 'with', 'direction', 'om', 'or', 'for', 'emphnonregular', 'directions', 'including', 'the', 'forward', 'direction', 'theta_0', 'however', 'based', 'on', 'physical', 'intuition', 'one', 'could', 'conjecture', 'f2', 'to', 'f_cl2', 'sigma_cl', 'delta_theta_0', 'where', 'f_cl2', 'is', 'the', 'classical', 'cross', 'section', 'and', 'delta_theta_0', 'is', 'the', 'dirac', 'measure', 'supported', 'at', 'the', 'forward', 'direction', 'theta_0', 'the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'prove', 'this', 'conjecture']] | [-0.13362495956322606, 0.15796546924330696, -0.07723036020635501, 0.06166759882880551, -0.100154678634607, -0.16821466460414985, 0.005050680171415159, 0.3662113663237038, -0.3176650620351555, -0.22732022557583814, 0.037273327377939446, -0.3146708956510584, -0.07227264641865937, 0.19867261514111698, -0.018094869884284766, 0.054617659869993965, 0.02308144182756518, 0.09606304018431015, -0.013147231206735218, -0.23252938443565163, 0.32120257414676046, 0.030415074556052836, 0.22955692489002202, 0.07370231409889105, 0.07325479663228868, 0.05185451787405622, 0.03604795196332742, -0.013731063639342383, -0.15545005605447323, 0.047692998331291855, 0.25079206127761483, 0.08206250502985928, 0.21035056592695214, -0.37421274805013593, -0.1696114153066348, 0.12556789905726407, 0.1916592670101169, 0.057258867603613414, 0.012003967018048373, -0.23916744181533922, 0.10250079029749425, -0.06366167635172354, -0.1944995011656067, -0.015530680992162309, 0.08338908892599992, -0.028657970340793475, -0.2699777776174046, 0.060908578995204646, 0.07245001687693435, -0.010125818781907091, -0.009833577364318174, -0.12406400683323375, -0.02230843000202062, 0.05944796731519337, 0.09902526918134803, 0.1160035330441944, 0.09464226518380078, -0.088725009102475, -0.062228498811286094, 0.3955039450571545, -0.0824025950110022, -0.23664552998112365, 0.1265910839759493, -0.20241281475771117, -0.10763485612413795, 0.11731733756637, 0.08231275385195339, 0.11472923048564258, -0.08329205544715798, 0.16940736789468713, -0.033893957177988834, 0.16293455970574272, 0.15273951018005735, -0.021247708657127176, 0.14927788743925458, 0.08008221655177909, 0.13659943433201596, 0.03715406772224358, -0.11685314568898615, -0.06975773909613742, -0.37379017462434777, -0.1784463294882428, -0.16879574728601082, 0.1453032299918099, -0.08811739313318252, -0.11308521536380253, 0.27175308189140884, 0.1272308995303811, 0.24692907390134358, 0.0461007702129742, 0.3163047628225507, 0.1831707717847658, 0.02037056312012184, 0.08602203221400143, 0.23581931942671136, 0.1341021152502681, 0.09842315041680343, -0.1697309194651835, 0.05886271449334517, 0.05581854516011033] |
709.2491 | Supersymmetry Breaking Vacua from M Theory Fivebranes | We consider intersecting brane configurations realizing N=2 supersymmetric
gauge theories broken to N=1 by multitrace superpotentials, and softly to N=0.
We analyze, in the framework of M5-brane wrapping a curve, the supersymmetric
vacua and the analogs of spontaneous supersymmetry breaking and soft
supersymmetry breaking in gauge theories. We show that the M5-brane does not
exhibit the analog of metastable spontaneous supersymmetry breaking, and does
not have non-holomorphic minimal volume curves with holomorphic boundary
conditions. However, we find that any point in the N=2 moduli space can be
rotated to a non-holomorphic minimal volume curve, whose boundary conditions
break supersymmetry. We interpret these as the analogs of soft supersymmetry
breaking vacua in the gauge theory.
| hep-th | we consider intersecting brane configurations realizing n2 supersymmetric gauge theories broken to n1 by multitrace superpotentials and softly to n0 we analyze in the framework of m5brane wrapping a curve the supersymmetric vacua and the analogs of spontaneous supersymmetry breaking and soft supersymmetry breaking in gauge theories we show that the m5brane does not exhibit the analog of metastable spontaneous supersymmetry breaking and does not have nonholomorphic minimal volume curves with holomorphic boundary conditions however we find that any point in the n2 moduli space can be rotated to a nonholomorphic minimal volume curve whose boundary conditions break supersymmetry we interpret these as the analogs of soft supersymmetry breaking vacua in the gauge theory | [['we', 'consider', 'intersecting', 'brane', 'configurations', 'realizing', 'n2', 'supersymmetric', 'gauge', 'theories', 'broken', 'to', 'n1', 'by', 'multitrace', 'superpotentials', 'and', 'softly', 'to', 'n0', 'we', 'analyze', 'in', 'the', 'framework', 'of', 'm5brane', 'wrapping', 'a', 'curve', 'the', 'supersymmetric', 'vacua', 'and', 'the', 'analogs', 'of', 'spontaneous', 'supersymmetry', 'breaking', 'and', 'soft', 'supersymmetry', 'breaking', 'in', 'gauge', 'theories', 'we', 'show', 'that', 'the', 'm5brane', 'does', 'not', 'exhibit', 'the', 'analog', 'of', 'metastable', 'spontaneous', 'supersymmetry', 'breaking', 'and', 'does', 'not', 'have', 'nonholomorphic', 'minimal', 'volume', 'curves', 'with', 'holomorphic', 'boundary', 'conditions', 'however', 'we', 'find', 'that', 'any', 'point', 'in', 'the', 'n2', 'moduli', 'space', 'can', 'be', 'rotated', 'to', 'a', 'nonholomorphic', 'minimal', 'volume', 'curve', 'whose', 'boundary', 'conditions', 'break', 'supersymmetry', 'we', 'interpret', 'these', 'as', 'the', 'analogs', 'of', 'soft', 'supersymmetry', 'breaking', 'vacua', 'in', 'the', 'gauge', 'theory']] | [-0.18746204278431833, 0.22816799692156023, -0.05781723977793662, 0.1550897961122948, -0.10882535376667715, -0.18716469224084886, -0.0016915419286018924, 0.3520495710677974, -0.1563921601576894, -0.26460906538883583, 0.12400158593255471, -0.22907295462005495, -0.19192432313177146, 0.007477650516911557, -0.12584130619570874, 0.053551484920541965, -0.07495308082893883, -0.02891339306932008, -0.12588397270934493, -0.25796719215066877, 0.3067800459215058, -0.08274252846502095, 0.251927462251236, 0.05298049861499876, 0.07784454134729969, -0.03618956905618114, 0.0894269942747135, -0.0678919655428648, -0.14231042106078812, 0.106519663379642, 0.2032209277528812, 0.04920853686666018, 0.006352904367080906, -0.4827987672597693, -0.22604089005331493, 0.2102929659539082, 0.1840395766163343, 0.1539467981722402, -0.007460185912797195, -0.26871220551006364, 0.07058974413666874, -0.11123178371538718, -0.20021350602844012, -0.11007022338903003, -0.04137634582360063, -0.18144602505510607, -0.24904593420950205, 0.05415486673040217, -0.006704674102365971, 0.08879708166217856, -0.05058872676862959, -0.007682485232260405, -0.20068537333179592, -0.012843882526156673, 0.20077434125286936, 0.010492129267699886, 0.15132769742539445, -0.23151287410342902, -0.17260508907942526, 0.4060181342392114, -0.050074286144145094, -0.22626877054898886, 0.1297384483102513, -0.1437307499724914, -0.24775030159211733, 0.17310065602916375, 0.07960440477013196, 0.15420473762379402, -0.06669136325485613, 0.2823255733370356, -0.032285184033721555, 0.16540160266352663, 0.14399249298628747, 0.026691980827436373, 0.28646082344481294, 0.06490307248895988, 0.06334446738841698, 0.1551056446726107, 0.01563294147082049, -0.13186797636904216, -0.534299540088365, -0.12910846633052356, -0.08275253752965414, 0.1411619171698827, -0.1294764788129996, -0.16639946809594044, 0.3528502609115094, 0.06418485528577053, 0.21213617120264916, 0.08376012882217765, 0.12028641997746665, 0.07601847740507015, 0.14340810650109984, -0.018291211237706113, 0.24086276570073606, 0.060900513835357536, 0.04436836192760159, -0.2613612354994474, -0.21435985307356245, 0.20674461975138178] |
709.2492 | A Gauge field Induced by the Global Gauge Invariance of Action Integral | As a general rule, it is considered that the global gauge invariance of an
action integral does not cause the occurrence of gauge field. However, in this
paper we demonstrate that when the so-called localized assumption is excluded,
the gauge field will be induced by the global gauge invariance of the action
integral. An example is given to support this conclusion.
| math-ph math.MP | as a general rule it is considered that the global gauge invariance of an action integral does not cause the occurrence of gauge field however in this paper we demonstrate that when the socalled localized assumption is excluded the gauge field will be induced by the global gauge invariance of the action integral an example is given to support this conclusion | [['as', 'a', 'general', 'rule', 'it', 'is', 'considered', 'that', 'the', 'global', 'gauge', 'invariance', 'of', 'an', 'action', 'integral', 'does', 'not', 'cause', 'the', 'occurrence', 'of', 'gauge', 'field', 'however', 'in', 'this', 'paper', 'we', 'demonstrate', 'that', 'when', 'the', 'socalled', 'localized', 'assumption', 'is', 'excluded', 'the', 'gauge', 'field', 'will', 'be', 'induced', 'by', 'the', 'global', 'gauge', 'invariance', 'of', 'the', 'action', 'integral', 'an', 'example', 'is', 'given', 'to', 'support', 'this', 'conclusion']] | [-0.17059262823141713, 0.1737923649961289, -0.10862499151806362, 0.0914295152398437, -0.13132495787300047, -0.06591868323472436, -0.0028488970510508927, 0.3599012185071335, -0.24711302735033583, -0.24976658277579997, 0.13000815063829488, -0.1667786777996626, -0.2016809651109039, 0.11047703733087563, -0.09086961951106787, -0.029301720228595812, 0.03716669269822172, 0.11697320440081788, -0.04402244670438717, -0.2757670413855402, 0.3429287573108908, 0.07026962990887829, 0.2924523274185228, 0.09759007216446468, 0.11294065058597776, 0.036284089737312224, -0.0012823079147788344, 0.03662031348489347, -0.05239242543662005, 0.08305286263405788, 0.176924609686019, 0.10004349110159473, 0.23417797641920263, -0.39880830968623276, -0.20397815816715115, 0.14277496888134322, 0.1329886191753579, 0.1372950941583783, -0.03283464986464528, -0.30692406605784095, 0.10666930208318547, -0.14537741460638945, -0.18915916525865675, -0.09277763767320601, -0.01922357759484258, -0.0704945282128899, -0.3113342434030454, 0.051820000022894046, 0.12780766427272655, 0.09180628888492214, -0.0779226240167608, 0.004524271601246151, -0.028235518106366278, 0.07815027264276993, 0.15757132838403837, 0.1087344485625136, 0.12472944113532783, -0.18396369224322623, -0.10226974509595359, 0.42836335154830435, -0.08884968403650478, -0.23896362606558155, 0.1584165078114535, -0.13462741137863915, -0.18115751384223094, 0.11065192262596282, 0.0870148886269966, 0.11579319910283704, -0.1842831579405818, 0.15368475403148132, -0.09535846868568085, 0.14548906616744448, 0.024517400388712765, 0.007563898917173081, 0.20514575805759333, 0.0807925907123956, 0.10943511402478716, 0.08629076358228617, -0.035218572581843396, -0.0879737178749237, -0.4292104633860901, -0.1690549488316794, -0.19663271277410085, 0.10837314901210283, -0.03667251747406897, -0.16054790225796034, 0.34729675157377343, 0.17800437659025192, 0.14444883748675225, 0.02999657046309382, 0.22117874788150924, 0.18867476992728952, 0.135039590390735, 0.021396472004288045, 0.2667428533561894, 0.09308021665611839, 0.02229136853005554, -0.24371554542592436, -0.013655798349407364, 0.10732504119333185] |
709.2493 | Infraparticle Scattering States in Non-Relativistic QED: I. The
Bloch-Nordsieck Paradigm | We construct infraparticle scattering states for Compton scattering in the
standard model of non-relativistic QED. In our construction, an infrared cutoff
initially introduced to regularize the model is removed completely. We
rigorously establish the properties of infraparticle scattering theory
predicted in the classic work of Bloch and Nordsieck from the 1930's, Faddeev
and Kulish, and others. Our results represent a basic step towards solving the
infrared problem in (non-relativistic) QED.
| math-ph math.MP | we construct infraparticle scattering states for compton scattering in the standard model of nonrelativistic qed in our construction an infrared cutoff initially introduced to regularize the model is removed completely we rigorously establish the properties of infraparticle scattering theory predicted in the classic work of bloch and nordsieck from the 1930s faddeev and kulish and others our results represent a basic step towards solving the infrared problem in nonrelativistic qed | [['we', 'construct', 'infraparticle', 'scattering', 'states', 'for', 'compton', 'scattering', 'in', 'the', 'standard', 'model', 'of', 'nonrelativistic', 'qed', 'in', 'our', 'construction', 'an', 'infrared', 'cutoff', 'initially', 'introduced', 'to', 'regularize', 'the', 'model', 'is', 'removed', 'completely', 'we', 'rigorously', 'establish', 'the', 'properties', 'of', 'infraparticle', 'scattering', 'theory', 'predicted', 'in', 'the', 'classic', 'work', 'of', 'bloch', 'and', 'nordsieck', 'from', 'the', '1930s', 'faddeev', 'and', 'kulish', 'and', 'others', 'our', 'results', 'represent', 'a', 'basic', 'step', 'towards', 'solving', 'the', 'infrared', 'problem', 'in', 'nonrelativistic', 'qed']] | [-0.023603011634466903, 0.12869364038363398, -0.13263943892504487, 0.09161047735417793, -0.026286863216332026, -0.09686272127686867, 0.0057278944495400145, 0.32381659859259215, -0.25705041037872434, -0.24405343581124075, -0.005964368668251804, -0.28987921326687294, -0.14489547209481576, 0.14112263421661086, -0.023349684768644303, 0.09299117970679488, -0.004898358987910407, -0.025190210262579577, -0.03019955787541611, -0.21076915610714683, 0.34084251930804127, 0.06576472409734768, 0.22808797199811254, 0.06463835428335837, 0.04852414712908545, 0.0738328505307436, -0.05479398425668478, -0.04693163075883474, -0.09708534156837101, 0.10871810839328516, 0.24691198031817163, 0.04961902895759392, 0.20016085347493312, -0.4527631547035916, -0.22342694412010522, 0.01542007920465299, 0.16086971151775548, 0.15330634162486864, -0.015288471789764507, -0.3014132652165634, -0.029754499585500787, -0.15631243497399347, -0.22332261433558806, -0.05783802690649671, -0.0021720120151128086, -0.10037416497112385, -0.23934518126770854, 0.033446015790104866, 0.05939841555498008, -0.021553874714300036, -0.12541210403100456, -0.1065724621393851, 0.05080042468783046, 0.07649740264751018, 0.025680106725277645, 0.03569544523156115, 0.06795056586020759, -0.15186519441860064, -0.15308223398668425, 0.38352577245594666, -0.057830330183995624, -0.16400645162378039, 0.15404934546511087, -0.10175595909490116, -0.1396929161157459, 0.10700973638865564, 0.11830492258471037, 0.13244660730872834, -0.16352673498913645, 0.1701659561908205, -0.0654661003234131, 0.10742507884944123, 0.10837249964741724, 0.01961518796160817, 0.12310271938996656, 0.14347023437730969, -0.04047751798560577, 0.13014379886444657, -0.07462298623951417, -0.12789414852325406, -0.33810147347061764, -0.11125974192525194, -0.1785555602450456, 0.0750828906627638, -0.03195220223299527, -0.17228501476347446, 0.32364009326057774, 0.18684943208603988, 0.1574908449979765, 0.06385145708502803, 0.2962709468889183, 0.1779351609526202, 0.045878114245299785, 0.08348103307985834, 0.3312133431434631, 0.17088932281892213, 0.08602988441208644, -0.261889832865979, -0.06712687022850981, 0.14845738672385259] |
709.2494 | Exact solution of one class of Maryland model | The Hamiltonian H of one-body Maryland model is defined as the sum of a
linear unperturbed Hamiltonian H_0 and the interaction V, which is a Toeplitz
matrix. Maryland model with a doubly infinite Hilbert space are exactly solved.
Special cases of one-body Maryland model include the original Maryland model
(Phys. Rev. Lett. 49, 833 (1982) and Physica 10D, 369 (1984)), which describes
a quantum kickied linear rotator and single band Bloch oscillations. Maryland
model and single band Bloch oscillations are the same Hamiltonian in two
different representations. A special case of many-body Maryland model is
Luttinger model.
| quant-ph | the hamiltonian h of onebody maryland model is defined as the sum of a linear unperturbed hamiltonian h_0 and the interaction v which is a toeplitz matrix maryland model with a doubly infinite hilbert space are exactly solved special cases of onebody maryland model include the original maryland model phys rev lett 49 833 1982 and physica 10d 369 1984 which describes a quantum kickied linear rotator and single band bloch oscillations maryland model and single band bloch oscillations are the same hamiltonian in two different representations a special case of manybody maryland model is luttinger model | [['the', 'hamiltonian', 'h', 'of', 'onebody', 'maryland', 'model', 'is', 'defined', 'as', 'the', 'sum', 'of', 'a', 'linear', 'unperturbed', 'hamiltonian', 'h_0', 'and', 'the', 'interaction', 'v', 'which', 'is', 'a', 'toeplitz', 'matrix', 'maryland', 'model', 'with', 'a', 'doubly', 'infinite', 'hilbert', 'space', 'are', 'exactly', 'solved', 'special', 'cases', 'of', 'onebody', 'maryland', 'model', 'include', 'the', 'original', 'maryland', 'model', 'phys', 'rev', 'lett', '49', '833', '1982', 'and', 'physica', '10d', '369', '1984', 'which', 'describes', 'a', 'quantum', 'kickied', 'linear', 'rotator', 'and', 'single', 'band', 'bloch', 'oscillations', 'maryland', 'model', 'and', 'single', 'band', 'bloch', 'oscillations', 'are', 'the', 'same', 'hamiltonian', 'in', 'two', 'different', 'representations', 'a', 'special', 'case', 'of', 'manybody', 'maryland', 'model', 'is', 'luttinger', 'model']] | [-0.12184843044087756, 0.14188998124639815, -0.012083791759020338, -0.011978993445760958, -0.046117395269296445, -0.22630887254975582, -0.008688191022277655, 0.26876861383304157, -0.19635410562720304, -0.27258733444614336, 0.007275401268998394, -0.3235465032776119, -0.15619281188507253, 0.15548381535578906, -0.0229617043514736, 0.06301972809827323, 0.09241462143836543, -0.0006872409188266223, -0.10479757729141663, -0.23987822339404374, 0.16774777647030228, 0.046746780924877385, 0.23212296767451335, -0.0122238805051893, 0.099984530863973, 0.1052551909548735, 0.05828895677404944, -0.05577985285240553, -0.11666284827303268, 0.0429219313931147, 0.2160370142234266, 0.029994323922437616, 0.2636601788520541, -0.37628213421946083, -0.21766507084733652, 0.06970595717818166, 0.07497607256906728, 0.1272700030943573, 0.10969022565404885, -0.3800256785543752, -0.09671399092136805, -0.2733709446426171, -0.152069198913523, -0.058674386564841065, 0.08973768336970049, -0.01969679250032641, -0.28035170292908634, 0.15337771607300965, 0.040166077349567786, 0.07123796763820185, -0.05804464855221644, -0.11108769017543334, -0.07309683756466256, 0.0011084818106610328, -0.09054081141584902, 0.07281359390375049, 0.058559957707378395, -0.03578767634462565, -0.1150476749050237, 0.42301712626067456, -0.09225078703881688, -0.17844348982907832, 0.16711613723115684, -0.13469233469610722, -0.09511539751838427, 0.07218553549561572, 0.1252694004603351, 0.06730432930210857, -0.1676874779902088, 0.231797974127403, -0.16491551205399446, 0.12428626972420413, 0.05753414979941832, -0.023674299251676228, 0.15241704758955166, 0.091698837400448, -0.01849083631168469, 0.0730866242859823, -0.07990236593953644, -0.17374235743288105, -0.3175849602848757, -0.1122193739162564, -0.23561700464294213, 0.07235571202181745, -0.0009716778372421686, -0.18944479818067825, 0.5081580872210907, 0.03899498474978221, 0.17964869161854344, 0.0011861409026702556, 0.16911437943538962, 0.15569857491330671, -0.041741967155758175, 0.12202707856098034, 0.21644156667025527, 0.21643206343287602, 0.07654897076038954, -0.22411799531255383, -0.11841509564207324, 0.15387605331246354] |
709.2495 | Reentrant temperature dependence of critical current in superconductor -
ferromagnet - superconductor junctions based on PdFe alloys | The magnetic and transport properties of $Pd_{0.99}Fe_{0.01}$ thin films have
been studied. We have found that the Curie temperature of the films is about 20
K and the magnetic properties strongly depend on temperature below $T_{Curie}$.
We have also fabricated the set of superconductor-ferromagnet-superconductor
josephson junctions $Nb-PdFe-Nb$. The temperature dependence of the junctions
with the ferromagnet layer thickness of about 36 nm shows the reentrant
behaviour that is the evidence of the transition of the junction into the
$\pi$-state.
| cond-mat.supr-con | the magnetic and transport properties of pd_099fe_001 thin films have been studied we have found that the curie temperature of the films is about 20 k and the magnetic properties strongly depend on temperature below t_curie we have also fabricated the set of superconductorferromagnetsuperconductor josephson junctions nbpdfenb the temperature dependence of the junctions with the ferromagnet layer thickness of about 36 nm shows the reentrant behaviour that is the evidence of the transition of the junction into the pistate | [['the', 'magnetic', 'and', 'transport', 'properties', 'of', 'pd_099fe_001', 'thin', 'films', 'have', 'been', 'studied', 'we', 'have', 'found', 'that', 'the', 'curie', 'temperature', 'of', 'the', 'films', 'is', 'about', '20', 'k', 'and', 'the', 'magnetic', 'properties', 'strongly', 'depend', 'on', 'temperature', 'below', 't_curie', 'we', 'have', 'also', 'fabricated', 'the', 'set', 'of', 'superconductorferromagnetsuperconductor', 'josephson', 'junctions', 'nbpdfenb', 'the', 'temperature', 'dependence', 'of', 'the', 'junctions', 'with', 'the', 'ferromagnet', 'layer', 'thickness', 'of', 'about', '36', 'nm', 'shows', 'the', 'reentrant', 'behaviour', 'that', 'is', 'the', 'evidence', 'of', 'the', 'transition', 'of', 'the', 'junction', 'into', 'the', 'pistate']] | [-0.19104457428291827, 0.18209871927929389, -0.0576989846666912, -0.06616643343011958, -0.015828942226899134, -0.11082024149016126, 0.06681975202223697, 0.42943910131980845, -0.2087764763938529, -0.31810229939299745, 0.034116786668778626, -0.3413325184351438, -0.06023087408151719, 0.2231620204477728, 0.0899010623575418, 0.013439955111205965, -0.094481263902377, -0.024728712870727306, -0.09056355700187095, -0.19263723780485717, 0.3065170911382642, -0.006563144615040971, 0.3455349150803182, 0.15088281229549608, 0.04194880095491936, -0.10874103969031063, 0.1881710704077374, 0.06666200119373086, -0.22383757526536516, -0.02375496429233969, 0.17843843735270687, -0.11280920061089292, 0.14473713374418484, -0.4739245879524327, -0.21392473865409273, -0.01037377472543581, 0.12536488580456995, 0.07312367979872536, -0.03263030550291447, -0.25029022065172724, 0.12800160110867642, -0.06928123988501438, -0.08635851525997912, -0.03172352970517301, 0.010406285188729306, 0.029952906604324068, -0.18353218606797156, 0.06425514617328557, 0.12339830022704389, 0.1500063523160318, -0.04801675051378159, -0.1748333102290204, -0.1221599475172191, 0.057095263479882245, 0.05098355247627025, 0.025098097444112812, 0.2203825174334955, -0.12530973101300852, -0.06708634854445548, 0.2648627585308118, -0.05396377605797312, -0.024075022451095766, 0.14208147512724648, -0.2205901901394903, -0.028933212560202395, 0.17070849591491188, 0.09168056737292897, 0.12501136008529112, -0.16157546647909013, 0.10661919395796132, -0.046591986454539484, 0.23647989560063784, 0.08625907713378017, 0.07384419058413282, 0.2511289015460711, 0.2680023066977692, -0.011688725250265137, 0.16683324161529928, -0.17079251896372283, -0.021383379622326268, -0.2179461322337776, -0.17182035257664885, -0.17667036069944114, 0.08901488757994655, -0.10374362553831178, -0.2275947681567692, 0.3965025299482725, 0.21197128375726088, 0.1920763233724933, -0.03511951190068737, 0.19130438805086078, 0.13907336489491728, 0.102499456779862, 0.03249422886541912, 0.27253827451450097, 0.23823437305143128, 0.16142701742548476, -0.29874565374928636, 0.13891778435775792, -0.044728542702248346] |
709.2496 | Resolution of singularities, asymptotic expansions of oscillatory
integrals, and related phenomena | The elementary resolution of singularities algorithm of the author's earlier
paper (math.CA/0609217) is developed further, replacing the quasibump functions
in the blown up coordinates with the characteristic function of a rectangle
times a smooth function. Such functions are easier to deal with, and as
application the existence of asymptotic expansions for oscillatory integrals
and related objects is given an elementary proof. In addition, some more
detailed information about these expansions is given.
| math.CA | the elementary resolution of singularities algorithm of the authors earlier paper mathca0609217 is developed further replacing the quasibump functions in the blown up coordinates with the characteristic function of a rectangle times a smooth function such functions are easier to deal with and as application the existence of asymptotic expansions for oscillatory integrals and related objects is given an elementary proof in addition some more detailed information about these expansions is given | [['the', 'elementary', 'resolution', 'of', 'singularities', 'algorithm', 'of', 'the', 'authors', 'earlier', 'paper', 'mathca0609217', 'is', 'developed', 'further', 'replacing', 'the', 'quasibump', 'functions', 'in', 'the', 'blown', 'up', 'coordinates', 'with', 'the', 'characteristic', 'function', 'of', 'a', 'rectangle', 'times', 'a', 'smooth', 'function', 'such', 'functions', 'are', 'easier', 'to', 'deal', 'with', 'and', 'as', 'application', 'the', 'existence', 'of', 'asymptotic', 'expansions', 'for', 'oscillatory', 'integrals', 'and', 'related', 'objects', 'is', 'given', 'an', 'elementary', 'proof', 'in', 'addition', 'some', 'more', 'detailed', 'information', 'about', 'these', 'expansions', 'is', 'given']] | [-0.1272029038102898, 0.05249440623634395, -0.13027457975383316, 0.08552252220355773, -0.09738878309726715, -0.07411862716877035, 0.006822448132360088, 0.34835478165852174, -0.2479282146053655, -0.26683180219094665, 0.13864875951715347, -0.28142268200005804, -0.1663905964116566, 0.20530175734976572, -0.07183630328758486, 0.06132253854136382, 0.028836152512979295, 0.048546231305226686, -0.11779768075793981, -0.2710437056475452, 0.34105657786130905, 0.03280808269711477, 0.15629807843693666, 0.0444998204042869, 0.09221914767154625, 0.009396826675427811, -0.0659200681240431, -0.011689796006040913, -0.14288187544526798, 0.1441276670699673, 0.24399596600394163, 0.10762424747060452, 0.25370494769886137, -0.4121390051873667, -0.1507047098662172, 0.10089242003325904, 0.18995255846530198, 0.07274755690512913, -0.015289640191518369, -0.2515860716147082, 0.10422412593449865, -0.1545443166313427, -0.21750847987298455, -0.07889679771448885, 0.02974677129781672, 0.0956095602496394, -0.2532832573966256, 0.04359121574088931, 0.0842103456778984, 0.10420765993850571, -0.05492206758021244, -0.11499077967767204, 0.040844413604853406, 0.09468657470840429, 0.05867910795911614, 0.07626931474909984, 0.07953254117497376, -0.1356311827232795, -0.08510923630424909, 0.31425821698669876, 0.001022141208938722, -0.2493636012875608, 0.19807451367378234, -0.14774749493226408, -0.10994140450243971, 0.1562885757535696, 0.1082591728706445, 0.18525232574237244, -0.11808167173128042, 0.0905636241110707, -0.034783825956817185, 0.12153697165527515, 0.1510998067246484, 0.03290181291688766, 0.14158965071463692, 0.10663861011021904, 0.07668733208307198, 0.1680854255599635, 0.015644730348140002, -0.0934591607988945, -0.3691013824460762, -0.18287946247894848, -0.18073222964469876, 0.08330375200270541, -0.11755748882715125, -0.19470474139920302, 0.414188132601391, 0.09147804975509644, 0.22747671740528727, 0.0716163069142827, 0.2778945410091962, 0.1676253815963199, 0.05428966982955379, 0.036111488505931835, 0.1131920212867304, 0.14453341760672628, 0.06799479930528572, -0.11062955542500796, 0.04596859313813703, 0.12172582925829505] |
709.2497 | Comment on ``Method to analyze electromechanical stability of dielectric
elastomers" [Appl. Phys. Lett. 91, 061921 (2007)] | The model of Zhao and Suo can be readily generalized to predict the critical
breakdown electric field $E_c$ value of elastomers with arbitrary elastic
strain energy function. An explicit expression for $E_c$ is presented for
elastomeric thin films under biaxial strain and comparisons are made with
experimental data using a two term Ogden rubber elasticity model. Simplified
results for uniaxial and for equi-biaxial stress provide further insight into
the findings of Zhao and Suo.
| cond-mat.mtrl-sci | the model of zhao and suo can be readily generalized to predict the critical breakdown electric field e_c value of elastomers with arbitrary elastic strain energy function an explicit expression for e_c is presented for elastomeric thin films under biaxial strain and comparisons are made with experimental data using a two term ogden rubber elasticity model simplified results for uniaxial and for equibiaxial stress provide further insight into the findings of zhao and suo | [['the', 'model', 'of', 'zhao', 'and', 'suo', 'can', 'be', 'readily', 'generalized', 'to', 'predict', 'the', 'critical', 'breakdown', 'electric', 'field', 'e_c', 'value', 'of', 'elastomers', 'with', 'arbitrary', 'elastic', 'strain', 'energy', 'function', 'an', 'explicit', 'expression', 'for', 'e_c', 'is', 'presented', 'for', 'elastomeric', 'thin', 'films', 'under', 'biaxial', 'strain', 'and', 'comparisons', 'are', 'made', 'with', 'experimental', 'data', 'using', 'a', 'two', 'term', 'ogden', 'rubber', 'elasticity', 'model', 'simplified', 'results', 'for', 'uniaxial', 'and', 'for', 'equibiaxial', 'stress', 'provide', 'further', 'insight', 'into', 'the', 'findings', 'of', 'zhao', 'and', 'suo']] | [-0.1052833711539672, 0.13791777212286802, -0.07798228942084352, -0.011497240228817571, -0.08079028104406756, -0.17377794445240619, 0.015306040506205848, 0.39562387078547395, -0.25801231213719455, -0.3052863329082627, 0.05943535385351326, -0.2496056090474028, -0.1457436248043401, 0.2178729112524338, -0.0036159665890138698, 0.06243943955396881, -0.012483919492444477, -0.06756548747393568, -0.02224524783574649, -0.17816448112244945, 0.2270319045496148, 0.05695925178981663, 0.35962883960707365, 0.140712007335104, 0.034896224562544376, 0.026406803341406222, 0.09261158281131773, 0.09250964294187725, -0.23864325005686968, 0.09544429643633398, 0.23861313345401572, -0.05306547771937944, 0.19063595614421205, -0.5177474084587114, -0.22828460947887316, 0.010660559127761706, 0.04101101148596688, 0.10691187050621453, -0.015624969291525919, -0.2899528374089985, 0.09203279584117637, -0.16998771067419266, -0.1371590741154914, -0.1391852178887741, 0.010074132461119694, 0.03162544616262076, -0.34486705663604533, 0.11363642775403285, 0.036432237880354795, 0.1031148278585484, -0.19227105829034102, -0.15603951546143288, -0.04447362307975119, 0.010935742212962863, 0.10318807547131705, 0.06308016483042692, 0.17813385064034043, -0.11739210031825949, -0.06649388233514351, 0.35758909610779704, -0.03439430199009744, -0.20749909430742264, 0.10090383573284221, -0.05091303501378845, -0.06957416255908036, 0.124537089282082, 0.14933263519590065, 0.00634826991606403, -0.13088765093502966, 0.0532649508520105, 0.001993160948906144, 0.15480060018347325, 0.06856576562859118, -0.0702099820372422, 0.18707653782582162, 0.18288650534845688, -0.02326740269121286, 0.16437828429578175, -0.045767307986278795, -0.017864263465477002, -0.30676578340196126, -0.20137402538612886, -0.16329163051134832, 0.04961464306767527, -0.17048340531717357, -0.17423115538848513, 0.3360252255523527, 0.10295823505274146, 0.1461651761688896, 0.055902643355767466, 0.2125577800498168, 0.09665467710913839, 0.03610356029978878, 0.0073177308234310635, 0.2903283014390114, 0.14984648606450474, 0.07846109425303734, -0.15369613690780023, 0.06791904023093348, 0.0402023643003525] |
709.2498 | Four-Probe Measurements of Carbon Nanotubes with Narrow Metal Contacts | We find that electrons in single-wall carbon nanotubes may propagate
substantial distances (tens of nanometers) under the metal contacts. We perform
four-probe transport measurements of the nanotube conductance and observe
significant deviations from the standard Kirchhoff's circuit rules. Most
noticeably, injecting current between two neighboring contacts on one end of
the nanotube, induces a non-zero voltage difference between two contacts on the
other end.
| cond-mat.mes-hall | we find that electrons in singlewall carbon nanotubes may propagate substantial distances tens of nanometers under the metal contacts we perform fourprobe transport measurements of the nanotube conductance and observe significant deviations from the standard kirchhoffs circuit rules most noticeably injecting current between two neighboring contacts on one end of the nanotube induces a nonzero voltage difference between two contacts on the other end | [['we', 'find', 'that', 'electrons', 'in', 'singlewall', 'carbon', 'nanotubes', 'may', 'propagate', 'substantial', 'distances', 'tens', 'of', 'nanometers', 'under', 'the', 'metal', 'contacts', 'we', 'perform', 'fourprobe', 'transport', 'measurements', 'of', 'the', 'nanotube', 'conductance', 'and', 'observe', 'significant', 'deviations', 'from', 'the', 'standard', 'kirchhoffs', 'circuit', 'rules', 'most', 'noticeably', 'injecting', 'current', 'between', 'two', 'neighboring', 'contacts', 'on', 'one', 'end', 'of', 'the', 'nanotube', 'induces', 'a', 'nonzero', 'voltage', 'difference', 'between', 'two', 'contacts', 'on', 'the', 'other', 'end']] | [-0.20713878204696812, 0.1694304643679061, -0.004861191933741793, -0.03587313519528834, 0.02189578936054204, -0.22436736051895423, 0.15117468481548713, 0.45507238066056743, -0.2812953385819128, -0.332610623765504, -0.06423148848443816, -0.40677120303735137, -0.09535238839453086, 0.20690457158343634, 0.018932496357592754, -0.056963018263559206, 0.11874279563198797, -0.04981497148401104, -0.09242835621626, -0.15123226639116183, 0.23914743239765812, -0.01992610876550316, 0.3818474801373668, 0.13124356047319452, 0.05265595129458234, -0.03804125170427142, 0.05981106168474071, 0.06016730052942876, -0.11104518995546186, 0.07092695488245226, 0.1893026091674983, -0.13760631781769916, 0.2333892878032202, -0.5815468287619296, -0.17780279157159384, 0.05649257519689854, 0.11598754290025681, 0.16159924832754768, -0.05913572996723815, -0.20122906999313273, 0.055104381863202434, -0.13771617246675305, -0.039179896586574614, 0.04456704311178328, -0.018189571339462418, 0.04277828235717607, -0.16104961250675842, 0.09604265991947614, 0.013769746779871639, 0.05533261461823713, 0.020455720647078124, -0.15449257070940803, -0.07221590561675839, 0.15127737719058132, 0.03092416729487013, -0.05836264223762555, 0.30870742253318895, -0.09195288890805386, -0.10785563549143262, 0.32548293395666406, -0.10194394008794916, -0.1118932352765114, 0.1821921101945918, -0.17941442378651118, -0.021636736775690224, 0.12984057384892367, 0.12689158966531977, 0.08867057652969379, -0.20528473278682213, -0.032676447714948154, 0.004417297204781789, 0.1432946635322878, 0.1493034973536851, 0.030055658564378973, 0.29154270523576997, 0.2060226839093957, 0.0752382586360909, 0.11320009427527111, -0.174337952521455, -0.06518065529235173, -0.26596189124393277, -0.14376677926338743, -0.1630104182549985, 0.14890426750935148, -0.09459829415550303, -0.18991079671832267, 0.4219135819294024, 0.1783141360810987, 0.19124894469905485, 0.02324391104048118, 0.2764978258055635, 0.06357134862446401, 0.14189764493494295, -0.015104967169463634, 0.29514209083572496, 0.20102225555456243, 0.06527760378958192, -0.25016693841826054, 0.07481978791111032, -0.047765209561475785] |
709.2499 | Our Search for an H-R Diagram of Quasars | The 4D Eigenvector 1 parameter space was introduced seven years ago as an
attempt at multiwavelength spectroscopic representation of quasars. It appears
to be the most effective diagnostic space for unifying the diversity of broad
line AGN. This progress report shows that the diagnostic power of 4DE1 is
confirmed using optical spectra from the SDSS, UV spectra from HST and X-ray
spectra from XMM. Our introduction of the population A-B concept continues to
provide useful insights into quasar diversity. Largely radio-quiet, high
accreting, low BH mass Pop. A sources (FWHM H_beta <= 4000 km/s) show strong
FeII emission, a soft X-ray excess and a CIV profile blueshift. Low accreting
large BH mass Pop. B quasars (FWHM H_beta > 4000 km/s) include most radio-loud
AGN and show weak FeII emission and little evidence for a soft X-ray excess or
a CIV blueshift.
| astro-ph | the 4d eigenvector 1 parameter space was introduced seven years ago as an attempt at multiwavelength spectroscopic representation of quasars it appears to be the most effective diagnostic space for unifying the diversity of broad line agn this progress report shows that the diagnostic power of 4de1 is confirmed using optical spectra from the sdss uv spectra from hst and xray spectra from xmm our introduction of the population ab concept continues to provide useful insights into quasar diversity largely radioquiet high accreting low bh mass pop a sources fwhm h_beta 4000 kms show strong feii emission a soft xray excess and a civ profile blueshift low accreting large bh mass pop b quasars fwhm h_beta 4000 kms include most radioloud agn and show weak feii emission and little evidence for a soft xray excess or a civ blueshift | [['the', '4d', 'eigenvector', '1', 'parameter', 'space', 'was', 'introduced', 'seven', 'years', 'ago', 'as', 'an', 'attempt', 'at', 'multiwavelength', 'spectroscopic', 'representation', 'of', 'quasars', 'it', 'appears', 'to', 'be', 'the', 'most', 'effective', 'diagnostic', 'space', 'for', 'unifying', 'the', 'diversity', 'of', 'broad', 'line', 'agn', 'this', 'progress', 'report', 'shows', 'that', 'the', 'diagnostic', 'power', 'of', '4de1', 'is', 'confirmed', 'using', 'optical', 'spectra', 'from', 'the', 'sdss', 'uv', 'spectra', 'from', 'hst', 'and', 'xray', 'spectra', 'from', 'xmm', 'our', 'introduction', 'of', 'the', 'population', 'ab', 'concept', 'continues', 'to', 'provide', 'useful', 'insights', 'into', 'quasar', 'diversity', 'largely', 'radioquiet', 'high', 'accreting', 'low', 'bh', 'mass', 'pop', 'a', 'sources', 'fwhm', 'h_beta', '4000', 'kms', 'show', 'strong', 'feii', 'emission', 'a', 'soft', 'xray', 'excess', 'and', 'a', 'civ', 'profile', 'blueshift', 'low', 'accreting', 'large', 'bh', 'mass', 'pop', 'b', 'quasars', 'fwhm', 'h_beta', '4000', 'kms', 'include', 'most', 'radioloud', 'agn', 'and', 'show', 'weak', 'feii', 'emission', 'and', 'little', 'evidence', 'for', 'a', 'soft', 'xray', 'excess', 'or', 'a', 'civ', 'blueshift']] | [0.028531605188513724, 0.0732559807735316, -0.0033544652907700418, 0.17074572189757936, -0.1745346977388848, -0.1420474955778596, 0.05749850528207507, 0.5101383626595032, -0.11681005101912259, -0.3239718760219704, 0.02382867505000033, -0.35957361011357186, 0.015034707388740113, 0.20302715593791507, -0.01455067703165382, -0.04703977679090052, 0.036865979272255794, -0.17214786906524815, -0.011549362551802837, -0.22044706912275752, 0.26547474404729954, 0.06621355974792148, 0.20550688059343922, 0.0016876998886787634, 0.08889705619922163, -0.09425990669083574, -0.09958957326296958, 0.006828083173060294, -0.11943475670113585, 0.062160278164627526, 0.28779995726026164, 0.2108945313693701, 0.28004528923804384, -0.20090071683315722, -0.2393829830982488, 0.036194672570195346, 0.23918647410200655, 0.02582957902286711, -0.07212987329757256, -0.26755306373011967, 0.02945698207083473, -0.23034595720898762, -0.15205247953480525, 0.05045199886216906, 0.06013511862981019, -0.0025703732607711993, -0.17479365935009777, 0.14631284752139562, 0.007252611241239733, 0.16315407955871641, -0.12442402541909615, -0.06293778520466077, -0.09918128184994295, 0.005604838796643366, 0.035913812323212085, 0.06415481756528398, 0.17111281478415719, -0.1234119615983218, -0.05332022152251477, 0.3740146632152174, -0.07465575968214037, 0.1421789372014887, 0.20331942702797676, -0.22349435586328184, -0.19028016929380703, 0.25787247157246945, 0.11167847250903146, 0.1438816800167476, -0.11895446946321846, -0.0021829541212302905, -0.03044910403638542, 0.33180545098248787, -0.0005763224828586303, 0.13478954751111513, 0.3496471101672744, 0.046140506132438835, 0.00288939084723699, 0.09256773898897278, -0.266696195684293, 0.0533695485201671, -0.22416866734865115, -0.07875994162754618, -0.090062505577309, 0.1949226872998846, -0.15754404802691097, -0.126130288573595, 0.3451521608228092, 0.08298870429594284, 0.25211128807901373, 0.047950226646050705, 0.31546041870107805, 0.10520382844943472, 0.07050343379298754, 0.09153666031687595, 0.3620473309202294, 0.21980236587282137, 0.15742662827075599, -0.2188201592879189, 0.02548032928100727, 0.026590123777436896] |
709.25 | The Pierre Auger Observatory: status, results and perspective | While the completion of the Pierre Auger Observatory (or simply ``Auger'') is
still underway, the 5165 km^2.sr.yr integrated acceptance accumulated since the
January 1st, 2004 is now significantly larger than what was gathered by the
previous experiments dedicated to the detection of ultra-high-energy cosmic
rays (UHECRs). We report on the development status of Auger and present some
results related to the cosmic-ray energy spectrum, composition and
anisotropies, and the photon fraction at ultra-high energy. We briefly discuss
the importance of the ankle region to understand the overall phenomenology of
cosmic-rays, and mention future enhancements of Auger focusing on this energy
range.
| astro-ph | while the completion of the pierre auger observatory or simply auger is still underway the 5165 km2sryr integrated acceptance accumulated since the january 1st 2004 is now significantly larger than what was gathered by the previous experiments dedicated to the detection of ultrahighenergy cosmic rays uhecrs we report on the development status of auger and present some results related to the cosmicray energy spectrum composition and anisotropies and the photon fraction at ultrahigh energy we briefly discuss the importance of the ankle region to understand the overall phenomenology of cosmicrays and mention future enhancements of auger focusing on this energy range | [['while', 'the', 'completion', 'of', 'the', 'pierre', 'auger', 'observatory', 'or', 'simply', 'auger', 'is', 'still', 'underway', 'the', '5165', 'km2sryr', 'integrated', 'acceptance', 'accumulated', 'since', 'the', 'january', '1st', '2004', 'is', 'now', 'significantly', 'larger', 'than', 'what', 'was', 'gathered', 'by', 'the', 'previous', 'experiments', 'dedicated', 'to', 'the', 'detection', 'of', 'ultrahighenergy', 'cosmic', 'rays', 'uhecrs', 'we', 'report', 'on', 'the', 'development', 'status', 'of', 'auger', 'and', 'present', 'some', 'results', 'related', 'to', 'the', 'cosmicray', 'energy', 'spectrum', 'composition', 'and', 'anisotropies', 'and', 'the', 'photon', 'fraction', 'at', 'ultrahigh', 'energy', 'we', 'briefly', 'discuss', 'the', 'importance', 'of', 'the', 'ankle', 'region', 'to', 'understand', 'the', 'overall', 'phenomenology', 'of', 'cosmicrays', 'and', 'mention', 'future', 'enhancements', 'of', 'auger', 'focusing', 'on', 'this', 'energy', 'range']] | [-0.058923387788236144, 0.20748321073595435, -0.010883894506841898, 0.1460856055712793, -0.08020298754796386, 0.025262141982093454, 0.014754434616770595, 0.3959562055766582, -0.20578958021942526, -0.3988469600910321, 0.05748924117535353, -0.35853975240141156, -0.04381418943637982, 0.2241530400677584, 0.034949969567533115, 0.006292674120340962, 0.11501348108286039, -0.025349122676998376, -0.010060993935912848, -0.25615903552621605, 0.2701138164754957, 0.31743618585169314, 0.29292944515822456, 0.1593630632618442, 0.08618971188436263, -0.0034156179218553006, -0.13511470649391413, -0.08805901385610923, -0.1367050079020555, 0.12899080516945105, 0.2550126892956905, 0.14233619277831167, 0.17039775450713932, -0.41349729111418126, -0.2109300909936428, 0.11294354286394082, 0.09881915102014319, -0.005566954195965082, -0.07930091684451326, -0.33299478581175207, 0.049743893861887045, -0.16538408783264458, -0.14601242292206734, 0.061900648009032014, -0.04199504815042019, 0.022577010369277558, -0.1275571267772466, 0.03170695220353082, -0.02470959969330579, 0.03648684374988079, -0.09118996882229112, -0.17101031003519893, 0.03842194539494812, 0.08551765929907561, 0.10100407794350758, 0.019578558119246737, 0.17874713179655374, -0.11103157231351361, -0.14554174162447453, 0.3713053278811276, -0.031388763467111856, -0.01073904023040086, 0.17413129654712975, -0.24285652982536704, -0.16478406880982222, 0.17550941268913448, 0.15624602729454637, 0.036737372605130075, -0.17129007901065052, 0.10648998607182875, 0.04704432160593569, 0.14753570101223887, 0.07069222341058776, 0.012623672294575955, 0.21537333977175876, 0.18305966491810977, 0.09964498589280993, 0.029897471151780337, -0.16266805571645818, 0.010336602753959596, -0.2977870930545032, -0.1483210922125727, -0.16012217851588503, 0.09829757736762985, 0.02866023853479419, -0.07917911512195133, 0.42731907254084944, 0.1515973333828151, 0.18062776761362329, -0.02428820190485567, 0.29944035787135365, 0.035301366777857765, 0.005843069660477341, 0.06164743846748024, 0.33989897293649846, 0.05283147539383208, 0.20021869072807022, -0.23929312971653416, 0.095444744406268, 0.005263983700424433] |
709.2501 | Generalized vorticity in transitional quantum turbulence | Transition to condensate state in the degenerate gas of bosons is studied
using the Gross-Pitaevskii equation. It is shown that adiabatic invariance of
an enstrophy (mean squared vorticity) based on a generalized vorticity $curl
(|\psi|^2 {\bf v})/|\psi|^2$, controls dynamics of the transitional turbulence
just before formation of the condensate with its tangles of quantized vortices
($|\psi|^2 {\bf v}$ is the weighted velocity field defined on the macroscopic
wave function $\psi$). Scaling of the angle-averaged occupation number
spectrum, $N_k \sim k^{-1}$, has been obtained for the free developing
transitional turbulence for the weak nonlinear (and completely disordered)
initial conditions. Results of the three-dimensional numerical simulations have
been used to support the theoretical consideration.
| cond-mat.other nlin.CD | transition to condensate state in the degenerate gas of bosons is studied using the grosspitaevskii equation it is shown that adiabatic invariance of an enstrophy mean squared vorticity based on a generalized vorticity curl psi2 bf vpsi2 controls dynamics of the transitional turbulence just before formation of the condensate with its tangles of quantized vortices psi2 bf v is the weighted velocity field defined on the macroscopic wave function psi scaling of the angleaveraged occupation number spectrum n_k sim k1 has been obtained for the free developing transitional turbulence for the weak nonlinear and completely disordered initial conditions results of the threedimensional numerical simulations have been used to support the theoretical consideration | [['transition', 'to', 'condensate', 'state', 'in', 'the', 'degenerate', 'gas', 'of', 'bosons', 'is', 'studied', 'using', 'the', 'grosspitaevskii', 'equation', 'it', 'is', 'shown', 'that', 'adiabatic', 'invariance', 'of', 'an', 'enstrophy', 'mean', 'squared', 'vorticity', 'based', 'on', 'a', 'generalized', 'vorticity', 'curl', 'psi2', 'bf', 'vpsi2', 'controls', 'dynamics', 'of', 'the', 'transitional', 'turbulence', 'just', 'before', 'formation', 'of', 'the', 'condensate', 'with', 'its', 'tangles', 'of', 'quantized', 'vortices', 'psi2', 'bf', 'v', 'is', 'the', 'weighted', 'velocity', 'field', 'defined', 'on', 'the', 'macroscopic', 'wave', 'function', 'psi', 'scaling', 'of', 'the', 'angleaveraged', 'occupation', 'number', 'spectrum', 'n_k', 'sim', 'k1', 'has', 'been', 'obtained', 'for', 'the', 'free', 'developing', 'transitional', 'turbulence', 'for', 'the', 'weak', 'nonlinear', 'and', 'completely', 'disordered', 'initial', 'conditions', 'results', 'of', 'the', 'threedimensional', 'numerical', 'simulations', 'have', 'been', 'used', 'to', 'support', 'the', 'theoretical', 'consideration']] | [-0.18510522119062703, 0.19028085877770146, -0.09325182047489632, 0.05985632289853778, -0.03130441937953167, -0.09585233121677968, -0.06429573067829811, 0.2920789045248447, -0.256116376283379, -0.20277732224868877, 0.0299255708138974, -0.2412832067324676, -0.07547325233047429, 0.16002696310169995, 0.045900365337729454, 0.12186007811760646, -0.0015910922167157488, 0.038509013318356926, -0.05277265328498158, -0.22157856416223304, 0.31963341027897385, 0.019486803749584527, 0.2903221860698458, 0.021553448441928986, 0.10267974898098535, -0.06631866260223822, 0.03430912945519334, 0.005036609870980361, -0.2336142021130659, 0.00036037673375436237, 0.14413262739565522, 0.042227613095227365, 0.27543160094813046, -0.43369729299696963, -0.23133145149248385, 0.08943167316569348, 0.19121551866243994, 0.07866367461558964, -0.01600289903789027, -0.32380065792572815, 0.044662187956938784, -0.14121360916968634, -0.16607011497918783, -0.06729333314121634, 0.08246606869527438, 0.06419861460121215, -0.29722467304548317, 0.17634220814839605, 0.039199224949697964, 0.06534294696133916, -0.09889078994352271, -0.10601617358874396, -0.12142362592775109, 0.0386447105858159, 0.047978263309882356, 0.08351830179370674, 0.1170903825176148, -0.1725872340071614, -0.030653844081306097, 0.3744387007983668, -0.08340130037062668, -0.21505298388157307, 0.12320114722388098, -0.16902831956810718, -0.06054960144683719, 0.17225777087151073, 0.12152220689209312, 0.078000952236055, -0.07312028584835518, 0.09518487609238946, -0.0831605475685657, 0.12949270716801817, 0.05633018752061097, -0.002872328398682709, 0.2117422773153521, 0.1397459503745527, 0.0352458320828321, 0.09108163932406958, -0.11240788183723842, -0.1539879976771772, -0.3118598035486814, -0.1444296741558771, -0.26485349743493963, 0.09066282641015277, -0.05741253495619146, -0.18007624146074314, 0.35762704798876904, 0.09865085083687777, 0.14520091803985583, 0.04008797273438956, 0.2576588749029075, 0.2071676838012146, 0.034535714117477516, 0.09703026121236949, 0.27217740164737086, 0.23901353775935213, 0.13081540208492828, -0.2510833603799775, -0.022198275737797042, 0.09642791586728501] |
709.2502 | Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell
theory | A particularly simple Lorentz-violating modification of the Maxwell theory of
photons maintains gauge invariance, CPT, and renormalization. This
modified-Maxwell theory, coupled to standard Dirac particles, involves nineteen
dimensionless "deformation parameters." Ten of these parameters lead to
birefringence and are already tightly constrained by astrophysics. New bounds
on the remaining nine nonbirefringent parameters can be obtained from the
absence of vacuum Cherenkov radiation for ultrahigh-energy cosmic rays
(UHECRs). Using selected UHECR events recorded at the Pierre Auger Observatory
and assigning pseudo-random directions (i.e., assuming large-scale isotropy),
Cherenkov bounds are found at the 10^{-18} level, which improve considerably
upon current laboratory bounds. Future UHECR observations may reduce these
Cherenkov bounds to the 10^{-23} level. An Addendum with two-sided bounds has
been published separately [Phys. Rev. D 77, 117901 (2008), arXiv:0806.4351].
| hep-ph astro-ph hep-th | a particularly simple lorentzviolating modification of the maxwell theory of photons maintains gauge invariance cpt and renormalization this modifiedmaxwell theory coupled to standard dirac particles involves nineteen dimensionless deformation parameters ten of these parameters lead to birefringence and are already tightly constrained by astrophysics new bounds on the remaining nine nonbirefringent parameters can be obtained from the absence of vacuum cherenkov radiation for ultrahighenergy cosmic rays uhecrs using selected uhecr events recorded at the pierre auger observatory and assigning pseudorandom directions ie assuming largescale isotropy cherenkov bounds are found at the 1018 level which improve considerably upon current laboratory bounds future uhecr observations may reduce these cherenkov bounds to the 1023 level an addendum with twosided bounds has been published separately phys rev d 77 117901 2008 arxiv08064351 | [['a', 'particularly', 'simple', 'lorentzviolating', 'modification', 'of', 'the', 'maxwell', 'theory', 'of', 'photons', 'maintains', 'gauge', 'invariance', 'cpt', 'and', 'renormalization', 'this', 'modifiedmaxwell', 'theory', 'coupled', 'to', 'standard', 'dirac', 'particles', 'involves', 'nineteen', 'dimensionless', 'deformation', 'parameters', 'ten', 'of', 'these', 'parameters', 'lead', 'to', 'birefringence', 'and', 'are', 'already', 'tightly', 'constrained', 'by', 'astrophysics', 'new', 'bounds', 'on', 'the', 'remaining', 'nine', 'nonbirefringent', 'parameters', 'can', 'be', 'obtained', 'from', 'the', 'absence', 'of', 'vacuum', 'cherenkov', 'radiation', 'for', 'ultrahighenergy', 'cosmic', 'rays', 'uhecrs', 'using', 'selected', 'uhecr', 'events', 'recorded', 'at', 'the', 'pierre', 'auger', 'observatory', 'and', 'assigning', 'pseudorandom', 'directions', 'ie', 'assuming', 'largescale', 'isotropy', 'cherenkov', 'bounds', 'are', 'found', 'at', 'the', '1018', 'level', 'which', 'improve', 'considerably', 'upon', 'current', 'laboratory', 'bounds', 'future', 'uhecr', 'observations', 'may', 'reduce', 'these', 'cherenkov', 'bounds', 'to', 'the', '1023', 'level', 'an', 'addendum', 'with', 'twosided', 'bounds', 'has', 'been', 'published', 'separately', 'phys', 'rev', 'd', '77', '117901', '2008', 'arxiv08064351']] | [-0.08960551975871481, 0.2734741005384306, -0.005795559254548852, 0.08675360693577824, -0.11645111483004358, -0.09778458865669866, 0.007052829523297352, 0.3236603395096839, -0.16975705695545507, -0.4142459842952944, 0.00731100375387108, -0.33117337740490227, -0.03574304966374286, 0.24002649370462648, 0.0025285419385274134, 0.04941898667057681, 0.057400377415072555, -0.04234074334067012, -0.033954868510749844, -0.2845294693824909, 0.19890273855777368, 0.2146005935545194, 0.27676849587569163, 0.061636909229000884, 0.11462432211856284, -0.02816311145637421, -0.10572245297583914, -0.04941836491759334, -0.1403654649470737, 0.0826926284658146, 0.2400536906909168, 0.10539249393280313, 0.12659318258039773, -0.42712819355074316, -0.21374983864185948, 0.11109139770269394, 0.08964646690791207, 0.061075593257093774, -0.018862576823541154, -0.3745985630574444, 0.029970875297698915, -0.15254960208392096, -0.17608923233753543, -0.006878589789959646, -0.0506945624504061, -0.012318745401451394, -0.24909682507951936, 0.06502001042596049, -0.055324720932052485, 0.03287637358926798, -0.04023502170965667, -0.1669201707478524, 0.023845640783538184, 0.01937666823274441, 0.10704354632143227, 0.023788438191071952, 0.18038115535847962, -0.09415831310593242, -0.1392519301300617, 0.37650699511406915, -0.08151286511519362, -0.1345964237707593, 0.16072568319560515, -0.18415615414564926, -0.20985533638177292, 0.16116912117124432, 0.1525842448297356, 0.07279581761926353, -0.2223199751109831, 0.16105936320419129, -0.046157093840606865, 0.14073594354300034, 0.15571384723224338, 0.03982080838417575, 0.22927487728607265, 0.08401062791900975, 0.0744854074252385, 0.024950548325524857, -0.13716245636839183, -0.002630180352190066, -0.3484361301756479, -0.07315619582206839, -0.15882814181361662, 0.10789292309034083, -0.09323253382021832, -0.08490184640848181, 0.3816320067345505, 0.12774109806577189, 0.11944996482056994, -0.010031750919999525, 0.2351837080223338, 0.08067376753463158, 0.03844272381522589, 0.09668972750105673, 0.36886882868462373, 0.13043488619390817, 0.0650153282423696, -0.1847387600776976, 0.038129602961744814, 0.08577936697596063] |
709.2503 | Decohering d-dimensional quantum resistance | The Landauer scattering approach to 4-probe resistance is revisited for the
case of a d-dimensional disordered resistor in the presence of decoherence. Our
treatment is based on an invariant-embedding equation for the evolution of the
coherent reflection amplitude coefficient in the length of a 1-dimensional
disordered conductor, where decoherence is introduced at par with the disorder
through an outcoupling, or stochastic absorption, of the wave amplitude into
side (transverse) channels, and its subsequent incoherent re-injection into the
conductor. This is essentially in the spirit of B{\"u}ttiker's
reservoir-induced decoherence. The resulting evolution equation for the
probability density of the 4-probe resistance in the presence of decoherence is
then generalised from the 1-dimensional to the d-dimensional case following an
anisotropic Migdal-Kadanoff-type procedure and analysed. The anisotropy, namely
that the disorder evolves in one arbitrarily chosen direction only, is the main
approximation here that makes the analytical treatment possible. A
qualitatively new result is that arbitrarily small decoherence reduces the
localisation-delocalisation transition to a crossover making resistance moments
of all orders finite.
| cond-mat.mes-hall cond-mat.dis-nn | the landauer scattering approach to 4probe resistance is revisited for the case of a ddimensional disordered resistor in the presence of decoherence our treatment is based on an invariantembedding equation for the evolution of the coherent reflection amplitude coefficient in the length of a 1dimensional disordered conductor where decoherence is introduced at par with the disorder through an outcoupling or stochastic absorption of the wave amplitude into side transverse channels and its subsequent incoherent reinjection into the conductor this is essentially in the spirit of buttikers reservoirinduced decoherence the resulting evolution equation for the probability density of the 4probe resistance in the presence of decoherence is then generalised from the 1dimensional to the ddimensional case following an anisotropic migdalkadanofftype procedure and analysed the anisotropy namely that the disorder evolves in one arbitrarily chosen direction only is the main approximation here that makes the analytical treatment possible a qualitatively new result is that arbitrarily small decoherence reduces the localisationdelocalisation transition to a crossover making resistance moments of all orders finite | [['the', 'landauer', 'scattering', 'approach', 'to', '4probe', 'resistance', 'is', 'revisited', 'for', 'the', 'case', 'of', 'a', 'ddimensional', 'disordered', 'resistor', 'in', 'the', 'presence', 'of', 'decoherence', 'our', 'treatment', 'is', 'based', 'on', 'an', 'invariantembedding', 'equation', 'for', 'the', 'evolution', 'of', 'the', 'coherent', 'reflection', 'amplitude', 'coefficient', 'in', 'the', 'length', 'of', 'a', '1dimensional', 'disordered', 'conductor', 'where', 'decoherence', 'is', 'introduced', 'at', 'par', 'with', 'the', 'disorder', 'through', 'an', 'outcoupling', 'or', 'stochastic', 'absorption', 'of', 'the', 'wave', 'amplitude', 'into', 'side', 'transverse', 'channels', 'and', 'its', 'subsequent', 'incoherent', 'reinjection', 'into', 'the', 'conductor', 'this', 'is', 'essentially', 'in', 'the', 'spirit', 'of', 'buttikers', 'reservoirinduced', 'decoherence', 'the', 'resulting', 'evolution', 'equation', 'for', 'the', 'probability', 'density', 'of', 'the', '4probe', 'resistance', 'in', 'the', 'presence', 'of', 'decoherence', 'is', 'then', 'generalised', 'from', 'the', '1dimensional', 'to', 'the', 'ddimensional', 'case', 'following', 'an', 'anisotropic', 'migdalkadanofftype', 'procedure', 'and', 'analysed', 'the', 'anisotropy', 'namely', 'that', 'the', 'disorder', 'evolves', 'in', 'one', 'arbitrarily', 'chosen', 'direction', 'only', 'is', 'the', 'main', 'approximation', 'here', 'that', 'makes', 'the', 'analytical', 'treatment', 'possible', 'a', 'qualitatively', 'new', 'result', 'is', 'that', 'arbitrarily', 'small', 'decoherence', 'reduces', 'the', 'localisationdelocalisation', 'transition', 'to', 'a', 'crossover', 'making', 'resistance', 'moments', 'of', 'all', 'orders', 'finite']] | [-0.1560198016420096, 0.18921838245104683, -0.09023551186992826, 0.018266609076600143, -0.02385325893107244, -0.14106626392336574, 0.02758201369792669, 0.30893357417652173, -0.26773252935444347, -0.18722739031616442, 0.035369799190067025, -0.2994003843426883, -0.12027056517586959, 0.17806160964579237, -0.011340492757031705, 0.02134219552829449, 0.003057787660509348, 0.045174136844290766, -0.039824122608315846, -0.23305901247048808, 0.32318515870246123, 0.05492684892852774, 0.30890850549770105, 0.061967328807037925, 0.07968198317855954, 0.07210952350256329, 0.03736409870071147, 0.02808089293124751, -0.11481871711250366, 0.04751620530555147, 0.21859997535169035, -0.01120782993220819, 0.23139196587726474, -0.4189956899241595, -0.2248418847500475, 0.0484401908707331, 0.1270129873126628, 0.17938312044657187, -0.005131354204847472, -0.2703012890784728, 0.035294326525571906, -0.12910000497926985, -0.16924561082223755, -0.002958787817084147, 0.04407254192548731, -0.024555271011456558, -0.2817315847785798, 0.11871174929529696, 0.1009859672808897, 0.004597169748635706, -0.054764431713059725, -0.06309487147697297, -0.010632454451106622, 0.08342242818067831, 0.038482752496175866, 0.02386458633289098, 0.13344985775616086, -0.12062915539247691, -0.08744949683641826, 0.34510620785486734, -0.08087449421768751, -0.1886325412970817, 0.14338729036330597, -0.14209754930106466, -0.05607832759245115, 0.1683582216250281, 0.12644206590652132, 0.0931030927793385, -0.1483028750548775, 0.09062376567288051, 0.0006348007899035649, 0.15473208202935845, 0.07218748494469655, 0.04144427317200217, 0.14542873625080296, 0.179986670450168, 0.05507999886117296, 0.1632438568972765, -0.11042531553034052, -0.11764578329724075, -0.3021062665847604, -0.14282072689049616, -0.21797392616107011, 0.13314366523024115, -0.09960830702936462, -0.2006480898687192, 0.38676719382003755, 0.14849558365977408, 0.17512679188149774, 0.029183331977375254, 0.31618260216207694, 0.16798222160404605, 0.008597727427203319, 0.04261004370023792, 0.21353948982097878, 0.19116598797451795, 0.056103996165699055, -0.2998477326898451, 0.0954765620317957, 0.037809145758151565] |
709.2504 | Rigidity, boundary interpolation and reproducing kernels | We use reproducing kernel methods to study various rigidity problems. The
methods and setting allow us to also consider the non-positive case.
| math.CV | we use reproducing kernel methods to study various rigidity problems the methods and setting allow us to also consider the nonpositive case | [['we', 'use', 'reproducing', 'kernel', 'methods', 'to', 'study', 'various', 'rigidity', 'problems', 'the', 'methods', 'and', 'setting', 'allow', 'us', 'to', 'also', 'consider', 'the', 'nonpositive', 'case']] | [-0.004712099463424899, -0.053624600637704134, -0.08707353519275784, 0.16997516121376643, -0.13545953651720827, -0.18184050172567368, -0.013502679606476291, 0.44832008941607043, -0.2521264255893501, -0.21365481022406707, 0.13499741203320975, -0.24977696568451144, -0.2163212839514017, 0.24915858019482007, -0.0957173327492042, 0.10584946840324184, 0.1277799294753508, -0.026122209838252853, -0.13350696459581907, -0.2843384069750424, 0.424947708167813, 0.028045565482567657, 0.23361575755883346, 0.10303150578825311, 0.07160848573866216, 0.03583573080091314, -0.04423628933727741, 0.02582633097402074, -0.24812987446784973, 0.19850421391046522, 0.25506670197302644, 0.10414468734101816, 0.33636013012040744, -0.40859916332093155, -0.2870486705902625, 0.2784532234072685, 0.05980295747709037, 0.11942179331725294, 0.06987361656501889, -0.25137612129434606, 0.0523157188012688, -0.14737214689904993, -0.15947908723980866, -0.19904616682536222, -0.1096360721540722, -0.029175571430559186, -0.2604075331579555, 0.043946902763722887, 0.06461032930846242, -0.03224507444114848, -0.13176072795282712, -0.0978890714997595, 0.16421993802280418, 0.18641609080474486, 0.08325765960828656, -0.07724212115334178, 0.0712643775874643, -0.07296451282772151, -0.13753288154574958, 0.3621608163230121, -0.06690910150593316, -0.2656619752841917, 0.28096803345463495, -0.1498632078821009, -0.18230855189771814, 0.02821773690679534, 0.2502741166813807, 0.20476154449649833, -0.08323186877268282, 0.13638571463260715, -0.011754763905297626, 0.07559668260033835, 0.07179187090051445, -0.02757045855237679, 0.028859712014144116, 0.06459432188421488, 0.14262407577850603, 0.1862753570418466, -0.053899907655167306, -0.10388809840448877, -0.2799804466353221, -0.1749827621335333, -0.09800398718057708, -0.015157758681611582, -0.07831154329720778, -0.17895526546900245, 0.3677734476937489, 0.24171223137951034, 0.2551324103366245, 0.10140225930478085, 0.253909583626823, 0.08817077595317228, 0.03454332561655478, 0.056727464480156246, 0.11645798461342399, 0.2458268546245315, 0.13410961941223254, -0.18576261993836274, -0.019288658757101406, 0.1282322137531909] |
709.2505 | Dark Energy-Dark Matter Interaction from the Abell Cluster A586 and
violation of the Equivalence Principle | We find that the Abell Cluster A586 exhibits evidence of the interaction
between dark matter and dark energy and argue that this interaction suggests
evidence of violation of the Equivalence Principle. This violation is found in
the context of two different models of dark energy-dark matter interaction.
| astro-ph gr-qc hep-th | we find that the abell cluster a586 exhibits evidence of the interaction between dark matter and dark energy and argue that this interaction suggests evidence of violation of the equivalence principle this violation is found in the context of two different models of dark energydark matter interaction | [['we', 'find', 'that', 'the', 'abell', 'cluster', 'a586', 'exhibits', 'evidence', 'of', 'the', 'interaction', 'between', 'dark', 'matter', 'and', 'dark', 'energy', 'and', 'argue', 'that', 'this', 'interaction', 'suggests', 'evidence', 'of', 'violation', 'of', 'the', 'equivalence', 'principle', 'this', 'violation', 'is', 'found', 'in', 'the', 'context', 'of', 'two', 'different', 'models', 'of', 'dark', 'energydark', 'matter', 'interaction']] | [-0.19180985961228292, 0.13698027576716182, -0.17679051003676463, 0.1727546454937336, -0.06567073335989992, -0.09271852656247768, -0.014022261062835125, 0.2865956013903339, -0.2060571156362904, -0.42267081474370144, -0.06448305006129072, -0.24625040757212233, -0.09703809633216959, 0.1011976143147083, 0.11140410843840305, -0.07992636822560366, 0.02267108088795175, 0.006407381927079343, -0.0393090678398755, -0.19731625938352118, 0.35972235217056375, -0.007499686608269335, 0.27351675071614856, 0.13624163059161065, 0.10462693455926281, -0.0360028897263506, -0.032037071527001706, -0.02170114282597887, -0.14727040549815743, 0.06407502298540574, 0.1614082789596107, 0.13761065466369085, 0.20921215898991424, -0.3896716310979521, -0.20569767771249123, 0.20213371280461867, 0.16417402235117365, 0.09696145458741391, -0.14276669247749638, -0.3453481362617396, -0.012500257607787214, -0.24181107201791824, -0.11379965527498341, 0.010287056924735612, 0.01586449837827302, -0.008719516204709702, -0.23479969113906649, 0.22918257504909675, 0.01628397520076721, -0.03569249989108202, -0.09995968984638123, -0.05806308425962925, -0.007163897889884229, -0.026836816498890838, 0.13920180833938114, -0.03509374345315898, 0.14345069777497904, -0.21531360845101324, -0.08879225702084442, 0.4354926568079502, -0.08629762187124566, -0.035442171707511586, 0.25090279961203005, -0.1268092528421511, -0.21583463346704523, 0.05572084210159138, 0.07579721958237759, -0.0062779083134646115, -0.1471009250096184, 0.11483161908108741, -0.09235549294092554, 0.22556517824055033, 0.019559769539479563, 0.05014734394214255, 0.35155494765755024, 0.16942296872668444, 0.04030449129641056, 0.10689924659326355, -0.09786266500645495, -0.08313920980993103, -0.36541640917037393, -0.18281104094646078, -0.14223308266794427, -0.023946516562570283, -0.11869630825822242, -0.09049155773159037, 0.31226031163192175, 0.1523575661902098, 0.12968923582477457, 0.03077025158687475, 0.23913264500492432, 0.04208851737921384, 0.028160766847035352, 0.057187475412687726, 0.41659415635141606, 0.14754936685587497, 0.05171257530913708, -0.28870977062058256, 0.01773427903374776, -0.03948240806943083] |
709.2506 | Autoencoder, Principal Component Analysis and Support Vector Regression
for Data Imputation | Data collection often results in records that have missing values or
variables. This investigation compares 3 different data imputation models and
identifies their merits by using accuracy measures. Autoencoder Neural
Networks, Principal components and Support Vector regression are used for
prediction and combined with a genetic algorithm to then impute missing
variables. The use of PCA improves the overall performance of the autoencoder
network while the use of support vector regression shows promising potential
for future investigation. Accuracies of up to 97.4 % on imputation of some of
the variables were achieved.
| cs.AI cs.DB | data collection often results in records that have missing values or variables this investigation compares 3 different data imputation models and identifies their merits by using accuracy measures autoencoder neural networks principal components and support vector regression are used for prediction and combined with a genetic algorithm to then impute missing variables the use of pca improves the overall performance of the autoencoder network while the use of support vector regression shows promising potential for future investigation accuracies of up to 974 on imputation of some of the variables were achieved | [['data', 'collection', 'often', 'results', 'in', 'records', 'that', 'have', 'missing', 'values', 'or', 'variables', 'this', 'investigation', 'compares', '3', 'different', 'data', 'imputation', 'models', 'and', 'identifies', 'their', 'merits', 'by', 'using', 'accuracy', 'measures', 'autoencoder', 'neural', 'networks', 'principal', 'components', 'and', 'support', 'vector', 'regression', 'are', 'used', 'for', 'prediction', 'and', 'combined', 'with', 'a', 'genetic', 'algorithm', 'to', 'then', 'impute', 'missing', 'variables', 'the', 'use', 'of', 'pca', 'improves', 'the', 'overall', 'performance', 'of', 'the', 'autoencoder', 'network', 'while', 'the', 'use', 'of', 'support', 'vector', 'regression', 'shows', 'promising', 'potential', 'for', 'future', 'investigation', 'accuracies', 'of', 'up', 'to', '974', 'on', 'imputation', 'of', 'some', 'of', 'the', 'variables', 'were', 'achieved']] | [-0.05814324677563631, -0.038198255959406985, -0.06006509303319994, 0.08632317448487752, -0.09157275805341919, -0.17764471486661132, 0.0833803390531422, 0.43723596460544145, -0.23340848972509196, -0.3238363283338373, 0.12293869926169473, -0.3056630506129055, -0.14707422433779216, 0.17824024675096703, -0.0983664838617647, 0.12960638838534239, 0.17333471997651262, 0.03256096419683852, -0.04505757367555666, -0.3293308032533297, 0.2966610536306769, 0.06560296169226314, 0.32011503004724834, -0.06654370803856752, 0.12098002065597409, 0.02905711202094188, -0.1036303318463839, 0.0026346310847797073, -0.01873537079070677, 0.1921306647524074, 0.2914992203048234, 0.21011045342311263, 0.3321002789128285, -0.37878658364598566, -0.23550235644074996, 0.09339994209010032, 0.12430079115022506, 0.04316794113153694, 0.026248764675264092, -0.28687750930887657, 0.10321832227374805, -0.14413830675798786, -0.03655596499607622, -0.20617709335471904, -0.04901790704864722, 0.05263016975656213, -0.32182005086176835, 0.12053569932826437, 0.021463971835776016, 0.10316033539577173, -0.1064078573311505, -0.25059292146137785, -0.0059538728936196685, 0.12568676100460466, 0.09480472779474579, 0.06905419596440189, 0.10008260521879113, -0.1283251295700301, -0.18666352632527167, 0.30489417699749, -0.07536341569253377, -0.23174566294547622, 0.1720142509573354, -0.0431863407983066, -0.17530852936945118, 0.09266631705891136, 0.24584434942373043, 0.02376899316620368, -0.1541809089594408, -0.015034120137787906, -0.002097276940041191, 0.14785389669730767, 0.009465371251520752, -0.025535075991813625, 0.1387168029502321, 0.23545492184604264, -0.019355193733005493, 0.09301359262982649, -0.16632473956701438, -0.030325665896001098, -0.21571360149287752, -0.13433217184597646, -0.1849985340236594, -0.04919068454918298, -0.15775986046963345, -0.150514769541857, 0.43078924645925615, 0.24571113416331483, 0.25939916618741476, 0.10160042913528261, 0.31846563241720854, 0.030277886458641882, 0.0989562227047857, 0.08549051814722819, 0.18341565215710684, 0.13548339246823402, 0.07594053586177364, -0.14398717476761194, 0.11937038788756171, -0.022589186528840892] |
709.2507 | Scattering Theory for Jacobi Operators with General Steplike
Quasi-Periodic Background | We develop direct and inverse scattering theory for Jacobi operators with
steplike coefficients which are asymptotically close to different finite-gap
quasi-periodic coefficients on different sides. We give a complete
characterization of the scattering data, which allow unique solvability of the
inverse scattering problem in the class of perturbations with finite first
moment.
| math.SP math-ph math.MP | we develop direct and inverse scattering theory for jacobi operators with steplike coefficients which are asymptotically close to different finitegap quasiperiodic coefficients on different sides we give a complete characterization of the scattering data which allow unique solvability of the inverse scattering problem in the class of perturbations with finite first moment | [['we', 'develop', 'direct', 'and', 'inverse', 'scattering', 'theory', 'for', 'jacobi', 'operators', 'with', 'steplike', 'coefficients', 'which', 'are', 'asymptotically', 'close', 'to', 'different', 'finitegap', 'quasiperiodic', 'coefficients', 'on', 'different', 'sides', 'we', 'give', 'a', 'complete', 'characterization', 'of', 'the', 'scattering', 'data', 'which', 'allow', 'unique', 'solvability', 'of', 'the', 'inverse', 'scattering', 'problem', 'in', 'the', 'class', 'of', 'perturbations', 'with', 'finite', 'first', 'moment']] | [-0.13187997803414384, 0.09722830039950517, -0.05966161087585183, 0.06857411538322385, -0.1393469016900501, -0.12517079312461787, -0.03481175072262816, 0.353612267662986, -0.3236771712724406, -0.20975690288469195, 0.13034832375594235, -0.3057420128383316, -0.14964352587524515, 0.19013491275612837, 0.02880228027844658, 0.12152606631235148, 0.05498306706207446, 0.05966635425843728, -0.1293804549988216, -0.2111260652398834, 0.39436702302191406, 0.0009428830369590566, 0.2507495168739787, 0.06711430618396172, 0.08413529091810162, 0.07981054438278079, -0.007831993239681022, -0.02697486894276853, -0.15988476341142535, 0.13049785508729445, 0.2823687001059275, 0.01792721461970359, 0.15569141363868347, -0.46150141732337385, -0.1453476728996835, 0.11848686753700559, 0.10740724358206186, 0.10421932590319417, -0.06371801392434953, -0.2608026417975242, 0.07357743247233045, -0.08608403246706495, -0.183721404379377, -0.08568224053865728, 0.039981441787229136, 0.03572553790246065, -0.33682004111604047, 0.10801688489468339, 0.05982382051073588, 0.05033461131656972, -0.13798420843130982, -0.09965282585471869, 0.07741278653534558, 0.09203279089146796, 0.0566539667152728, -0.09613292127883491, 0.016682257374318745, -0.054202272807462856, -0.10724528586097921, 0.3165223074432176, -0.0955453862552531, -0.21019157629388457, 0.17153564271015617, -0.1905752753910537, -0.11785130635297929, 0.16503744194499, 0.19355355475384456, 0.1608566018537833, -0.14695318807991078, 0.12242977535956576, -0.07681177074734408, 0.1100773040850002, 0.10998035219605438, 0.023160221699911814, 0.1800556314141991, 0.08833118262163435, 0.10909763166609292, 0.15045255085883233, -0.031014184910768215, -0.07286120121940397, -0.342019413311321, -0.07415717793628573, -0.12233711352858406, 0.10083056065755394, -0.12595335744873198, -0.27630428284800684, 0.39678455667140394, 0.1114729029359296, 0.220675109527432, 0.08342439076379658, 0.2099234017615135, 0.23099454239798853, 0.01854410695915039, 0.0366298044548155, 0.19671368720726326, 0.1859515258558811, 0.09566678277825794, -0.24839436669404116, -0.028275655860152956, 0.12730080593162432] |
709.2508 | Some aspects of calculus on non-smooth sets | Sets in R^n in which every pair of elements x, y can be connected by a path
in the set of length bounded by a constant multiple of the distance between x
and y are considered.
| math.CA | sets in rn in which every pair of elements x y can be connected by a path in the set of length bounded by a constant multiple of the distance between x and y are considered | [['sets', 'in', 'rn', 'in', 'which', 'every', 'pair', 'of', 'elements', 'x', 'y', 'can', 'be', 'connected', 'by', 'a', 'path', 'in', 'the', 'set', 'of', 'length', 'bounded', 'by', 'a', 'constant', 'multiple', 'of', 'the', 'distance', 'between', 'x', 'and', 'y', 'are', 'considered']] | [-0.22053535114456382, 0.17904149311491185, -0.009721666315777434, -0.02904427858690421, 0.04477269457937735, -0.12570795817818078, 0.07078396497915189, 0.40913170524355436, -0.37259366135630345, -0.21517149111928624, 0.034151726108070254, -0.30563725810498, -0.06290300071446432, 0.20464064284331268, -0.06415033123145501, -0.011638462362397049, 0.03454407564519594, 0.12146903714165092, -0.08196785994287994, -0.26135259913280606, 0.3512427765462134, -0.12382397182389265, 0.1586806949021088, 0.022053437954228785, 0.1345800289289198, 0.024548746360879805, -0.005142602720297873, 0.12637937493208382, -0.09315795166831878, 0.15097704286583596, 0.26567302288539296, 0.12346637537444217, 0.27710835604617995, -0.3475547495076575, -0.21518932564908433, 0.1626104942212502, 0.1007071478266476, -0.06580987145490427, 0.01591819599788222, -0.2635413127847844, 0.16072817787062377, -0.08266761252242658, -0.10291835212976569, 0.05564756078335146, 0.13512075200883877, 0.1019596738430361, -0.30357653916709954, 0.003466293267491791, 0.07153959474008945, -0.017535688924706645, 0.02177150248705099, -0.10257359857981403, -0.10642838376548348, 0.1316275538281641, -0.01808578215746416, 0.18907475831090576, 0.02504535073563198, -0.018153979054962594, -0.1049746192422592, 0.345190395329458, -0.10443890213759409, -0.26717381549274755, 0.1214473025045461, -0.17592259612865746, -0.038845158725356065, 0.13289065840136674, 0.14950295222095317, 0.16979244356561038, -0.17753658151357538, 0.21362238242646628, -0.08447669575818711, 0.14435030426830053, 0.11500945528193067, 0.05039377458807495, 0.20686453487016682, 0.11943496313566963, 0.099078930552221, 0.07321987058902676, -0.05271619330677721, 0.03330576220630772, -0.3862879405512811, -0.1528241345141497, -0.19826480569059235, 0.10351923842810923, -0.13424419470660118, -0.13770057493820786, 0.2881110059097409, 0.03067047064865215, 0.32226279460721546, -0.005692269468757634, 0.19250049620556334, 0.039267168946632104, 0.018637936723987676, 0.09412029543374148, 0.09892936790775922, 0.12545532179905827, -0.019000620788170233, -0.13350005659352368, 0.08821818885755622, 0.14784298472538163] |
709.2509 | Measurement of Rashba and Dresselhaus spin-orbit magnetic fields | Spin-orbit coupling is a manifestation of special relativity. In the
reference frame of a moving electron, electric fields transform into magnetic
fields, which interact with the electron spin and lift the degeneracy of
spin-up and spin-down states. In solid-state systems, the resulting spin-orbit
fields are referred to as Dresselhaus or Rashba fields, depending on whether
the electric fields originate from bulk or structure inversion asymmetry,
respectively. Yet, it remains a challenge to determine the absolute value of
both contributions in a single sample. Here we show that both fields can be
measured by optically monitoring the angular dependence of the electrons' spin
precession on their direction of movement with respect to the crystal lattice.
Furthermore, we demonstrate spin resonance induced by the spin-orbit fields. We
apply our method to GaAs/InGaAs quantum-well electrons, but it can be used
universally to characterise spin-orbit interactions in semiconductors,
facilitating the design of spintronic devices.
| cond-mat.mes-hall | spinorbit coupling is a manifestation of special relativity in the reference frame of a moving electron electric fields transform into magnetic fields which interact with the electron spin and lift the degeneracy of spinup and spindown states in solidstate systems the resulting spinorbit fields are referred to as dresselhaus or rashba fields depending on whether the electric fields originate from bulk or structure inversion asymmetry respectively yet it remains a challenge to determine the absolute value of both contributions in a single sample here we show that both fields can be measured by optically monitoring the angular dependence of the electrons spin precession on their direction of movement with respect to the crystal lattice furthermore we demonstrate spin resonance induced by the spinorbit fields we apply our method to gaasingaas quantumwell electrons but it can be used universally to characterise spinorbit interactions in semiconductors facilitating the design of spintronic devices | [['spinorbit', 'coupling', 'is', 'a', 'manifestation', 'of', 'special', 'relativity', 'in', 'the', 'reference', 'frame', 'of', 'a', 'moving', 'electron', 'electric', 'fields', 'transform', 'into', 'magnetic', 'fields', 'which', 'interact', 'with', 'the', 'electron', 'spin', 'and', 'lift', 'the', 'degeneracy', 'of', 'spinup', 'and', 'spindown', 'states', 'in', 'solidstate', 'systems', 'the', 'resulting', 'spinorbit', 'fields', 'are', 'referred', 'to', 'as', 'dresselhaus', 'or', 'rashba', 'fields', 'depending', 'on', 'whether', 'the', 'electric', 'fields', 'originate', 'from', 'bulk', 'or', 'structure', 'inversion', 'asymmetry', 'respectively', 'yet', 'it', 'remains', 'a', 'challenge', 'to', 'determine', 'the', 'absolute', 'value', 'of', 'both', 'contributions', 'in', 'a', 'single', 'sample', 'here', 'we', 'show', 'that', 'both', 'fields', 'can', 'be', 'measured', 'by', 'optically', 'monitoring', 'the', 'angular', 'dependence', 'of', 'the', 'electrons', 'spin', 'precession', 'on', 'their', 'direction', 'of', 'movement', 'with', 'respect', 'to', 'the', 'crystal', 'lattice', 'furthermore', 'we', 'demonstrate', 'spin', 'resonance', 'induced', 'by', 'the', 'spinorbit', 'fields', 'we', 'apply', 'our', 'method', 'to', 'gaasingaas', 'quantumwell', 'electrons', 'but', 'it', 'can', 'be', 'used', 'universally', 'to', 'characterise', 'spinorbit', 'interactions', 'in', 'semiconductors', 'facilitating', 'the', 'design', 'of', 'spintronic', 'devices']] | [-0.17931715052730093, 0.20056318175047635, -0.02135038654319942, 0.04264064602321014, -0.08436564452325304, -0.1328863303984205, 0.013524316866532899, 0.42975787112799785, -0.2938276292422476, -0.3386548886219195, 0.0014148125968252618, -0.25041485897731036, -0.07705734670317421, 0.21742979829510053, 0.02420383838005364, -0.03995848492253572, -0.010567309620479743, -0.02888392096074919, -0.07259268001808475, -0.18451358925395955, 0.28380148123328885, 0.0011323107142622271, 0.2915811868974318, 0.0654977462409685, 0.07970517966197804, 0.015215135977293055, 0.09865699786071976, 0.007632141740371783, -0.06379350376184448, 0.0707990155784258, 0.2044106685742736, -0.056997168119996784, 0.1946383102502053, -0.4562395950590629, -0.17758133803804715, 0.040264185952643555, 0.13204098063792724, 0.18246510203074043, -0.07402245858839403, -0.2954057311018308, -0.007156021722281972, -0.15783160568059731, -0.12597451164765516, -0.10964308422679703, 0.0014216420970236262, 0.018108884391064447, -0.27525914074115765, 0.06819025763000051, 0.07828557762239749, 0.058471466675400735, -0.11337377083148265, -0.08434177075590317, -0.07104708988995602, 0.08205912286415697, 0.09878221884835511, 0.07757187608163804, 0.19107716351747514, -0.13230418398355445, -0.14818311577352386, 0.4043060684374844, -0.08321838988844926, -0.20657064301893116, 0.16228347501562287, -0.20513868626827994, -0.040945361037738624, 0.11889028718462213, 0.20097798118949867, 0.10761189779596558, -0.1332529090504007, 0.09493827742136395, 0.010595486840854089, 0.14176712326705457, 0.03763320868058751, 0.08570802274160087, 0.30647374724348386, 0.11778260344096149, 0.04772985479328781, 0.10567394039050365, -0.14388532436142365, -0.027617867924273013, -0.2184282028581947, -0.15664895178905378, -0.23940154093007246, 0.09978887504898011, -0.010857666725642048, -0.15598983580246567, 0.4140688217307131, 0.16736125968707105, 0.1461461279114398, -0.0661620835470967, 0.2737411080300808, 0.10736750924494118, 0.11725756748734663, 0.041756143951788546, 0.3171330288859705, 0.21507605243163805, 0.06477066717731456, -0.30948781814581405, 0.037194250432463986, -0.025583413320903976] |
709.251 | The Rise and Fall of Debris Disks: MIPS Observations of h and chi Persei
and the Evolution of Mid-IR Emission from Planet Formation | We describe Spitzer/MIPS observations of the double cluster, h and $\chi$
Persei, covering a $\sim$ 0.6 square-degree area surrounding the cores of both
clusters. The data are combined with IRAC and 2MASS data to investigate $\sim$
616 sources from 1.25-24 $\mu m$. We use the long-baseline $K_{s}$-[24] color
to identify two populations with IR excess indicative of circumstellar
material: Be stars with 24 $\mu m$ excess from optically-thin free free
emission and 17 fainter sources (J$\sim$ 14-15) with [24] excess consistent
with a circumstellar disk. The frequency of IR excess for the fainter sources
increases from 4.5 $\mu m$ through 24 $\mu m$. The IR excess is likely due to
debris from the planet formation process. The wavelength-dependent behavior is
consistent with an inside-out clearing of circumstellar disks. A comparison of
the 24 $\mu m$ excess population in h and $\chi$ Per sources with results for
other clusters shows that 24 $\mu m$ emission from debris disks 'rises' from 5
to 10 Myr, peaks at $\sim$ 10-15 Myr, and then 'falls' from $\sim$ 15/20 Myr to
1 Gyr.
| astro-ph | we describe spitzermips observations of the double cluster h and chi persei covering a sim 06 squaredegree area surrounding the cores of both clusters the data are combined with irac and 2mass data to investigate sim 616 sources from 12524 mu m we use the longbaseline k_s24 color to identify two populations with ir excess indicative of circumstellar material be stars with 24 mu m excess from opticallythin free free emission and 17 fainter sources jsim 1415 with 24 excess consistent with a circumstellar disk the frequency of ir excess for the fainter sources increases from 45 mu m through 24 mu m the ir excess is likely due to debris from the planet formation process the wavelengthdependent behavior is consistent with an insideout clearing of circumstellar disks a comparison of the 24 mu m excess population in h and chi per sources with results for other clusters shows that 24 mu m emission from debris disks rises from 5 to 10 myr peaks at sim 1015 myr and then falls from sim 1520 myr to 1 gyr | [['we', 'describe', 'spitzermips', 'observations', 'of', 'the', 'double', 'cluster', 'h', 'and', 'chi', 'persei', 'covering', 'a', 'sim', '06', 'squaredegree', 'area', 'surrounding', 'the', 'cores', 'of', 'both', 'clusters', 'the', 'data', 'are', 'combined', 'with', 'irac', 'and', '2mass', 'data', 'to', 'investigate', 'sim', '616', 'sources', 'from', '12524', 'mu', 'm', 'we', 'use', 'the', 'longbaseline', 'k_s24', 'color', 'to', 'identify', 'two', 'populations', 'with', 'ir', 'excess', 'indicative', 'of', 'circumstellar', 'material', 'be', 'stars', 'with', '24', 'mu', 'm', 'excess', 'from', 'opticallythin', 'free', 'free', 'emission', 'and', '17', 'fainter', 'sources', 'jsim', '1415', 'with', '24', 'excess', 'consistent', 'with', 'a', 'circumstellar', 'disk', 'the', 'frequency', 'of', 'ir', 'excess', 'for', 'the', 'fainter', 'sources', 'increases', 'from', '45', 'mu', 'm', 'through', '24', 'mu', 'm', 'the', 'ir', 'excess', 'is', 'likely', 'due', 'to', 'debris', 'from', 'the', 'planet', 'formation', 'process', 'the', 'wavelengthdependent', 'behavior', 'is', 'consistent', 'with', 'an', 'insideout', 'clearing', 'of', 'circumstellar', 'disks', 'a', 'comparison', 'of', 'the', '24', 'mu', 'm', 'excess', 'population', 'in', 'h', 'and', 'chi', 'per', 'sources', 'with', 'results', 'for', 'other', 'clusters', 'shows', 'that', '24', 'mu', 'm', 'emission', 'from', 'debris', 'disks', 'rises', 'from', '5', 'to', '10', 'myr', 'peaks', 'at', 'sim', '1015', 'myr', 'and', 'then', 'falls', 'from', 'sim', '1520', 'myr', 'to', '1', 'gyr']] | [-0.03029610619138358, 0.1637912965360746, -0.0131980153800404, 0.059865632602578045, -0.06327571834590139, -0.06939491338364906, 0.11183795283448561, 0.43711931561514483, -0.18582689642280045, -0.40761282990060455, 0.04987846728148581, -0.3914819796448626, 0.034556948324654904, 0.14416416015247105, -0.052063094922617646, -0.07391464077120405, 0.06164534200682689, -0.09210978724630707, -0.008464006822829866, -0.22694676109500186, 0.2426804350212211, 0.04890106944630375, 0.0736733691840522, -0.0411363650497449, 0.0185460290084935, -0.11211935849695882, -0.10051688049146432, -0.09075696875820052, -0.19250801344696297, 0.007931356297905878, 0.20765861350053785, 0.07049592304974794, 0.1924058017557708, -0.29688727012756516, -0.1796761671736268, 0.08624689651937303, 0.17408035415235254, -0.09720075781040136, -0.022761735952022553, -0.25232601379659975, 0.13521828510046088, -0.17945225538401785, -0.16299981761744803, 0.1491055930306935, 0.1220245394687363, -0.023619038706624323, -0.2808493441496949, 0.14639956129703008, 0.0008954254549922748, 0.13178598666418934, -0.1383326496971024, -0.18541931004742276, -0.07122792042318289, 0.02400728748416749, 0.01833940112925829, 0.13977534116882473, 0.22456872298600583, -0.10451487116883956, -0.04124579451567793, 0.37815452076620976, -0.1701451067176074, 0.0540425337516929, 0.24683755348399702, -0.25338396861475737, -0.12712183628723914, 0.2619307962546157, 0.08184392680282478, 0.09626337506750461, -0.15723180108095947, 0.030679710991720083, 0.015701974168588213, 0.25587472022974095, 0.07364098005401928, 0.08501532892722868, 0.33664394539944026, 0.12070901869233214, 0.04285267608550688, 0.11784368690917542, -0.3143474124792942, -0.02001565614962519, -0.25279912626828555, -0.09146875526103596, -0.11831279106353973, 0.1512258886635872, -0.17050526743860966, -0.032284874205134206, 0.2527095198494482, 0.08785406464847637, 0.2468501041185553, 0.07801573543867234, 0.23264391233586829, 0.047323648339021675, 0.15452985819508086, 0.15667653941196827, 0.2347715692331562, 0.16836863948396633, 0.0886713932005236, -0.19069210647396206, -0.03436585203981248, -0.1025777209798758] |
709.2511 | Hamiltonian vector fields of homogeneous polynomials in two variables | Let $g:\mathbb{R}^2\to\mathbb{R}$ be a homogeneous polynomial of degree
$p>1$, $G=(-g'_{y}, g'_{x})$ be its Hamiltonian vector field, and $G_t$ be the
local flow generated by $G$. Denote by $E(G,O)$ the space of germs of
$C^{\infty}$ diffeomorphisms $(\mathbb{R}^2,O)\to(\mathbb{R}^2,O)$ that
preserve orbits of $G$. Let also $E_{\mathrm{id}}(G,O)$ be the identity
component of $E(G,O)$ with respect to $C^1$-topology.
Suppose that $g$ has no multiple prime factors. Then we prove that for every
$h\in E_{\mathrm{id}}(G,O)$ there exists a germ of a smooth function
$\alpha:\mathbb{R}^2\to\mathbb{R}$ at $O$ such that $h(z)=G_{\alpha(z)}(z)$.
| math.DS | let gmathbbr2tomathbbr be a homogeneous polynomial of degree p1 gg_y g_x be its hamiltonian vector field and g_t be the local flow generated by g denote by ego the space of germs of cinfty diffeomorphisms mathbbr2otomathbbr2o that preserve orbits of g let also e_mathrmidgo be the identity component of ego with respect to c1topology suppose that g has no multiple prime factors then we prove that for every hin e_mathrmidgo there exists a germ of a smooth function alphamathbbr2tomathbbr at o such that hzg_alphazz | [['let', 'gmathbbr2tomathbbr', 'be', 'a', 'homogeneous', 'polynomial', 'of', 'degree', 'p1', 'gg_y', 'g_x', 'be', 'its', 'hamiltonian', 'vector', 'field', 'and', 'g_t', 'be', 'the', 'local', 'flow', 'generated', 'by', 'g', 'denote', 'by', 'ego', 'the', 'space', 'of', 'germs', 'of', 'cinfty', 'diffeomorphisms', 'mathbbr2otomathbbr2o', 'that', 'preserve', 'orbits', 'of', 'g', 'let', 'also', 'e_mathrmidgo', 'be', 'the', 'identity', 'component', 'of', 'ego', 'with', 'respect', 'to', 'c1topology', 'suppose', 'that', 'g', 'has', 'no', 'multiple', 'prime', 'factors', 'then', 'we', 'prove', 'that', 'for', 'every', 'hin', 'e_mathrmidgo', 'there', 'exists', 'a', 'germ', 'of', 'a', 'smooth', 'function', 'alphamathbbr2tomathbbr', 'at', 'o', 'such', 'that', 'hzg_alphazz']] | [-0.22081020286657496, 0.1087972563600724, -0.10285476465141039, -0.044833294527193944, -0.07264718543375273, -0.1466399538875013, -0.061088172730977656, 0.3825636085413106, -0.33104312809353525, -0.1755806168022735, 0.04304925564301575, -0.2752807474779812, -0.13695162560113452, 0.1619135489106759, -0.05843791261000873, -0.07433910475962179, 0.06732795486081537, 0.14297929083831706, -0.04536043273212461, -0.24554047071338667, 0.39344072377599487, -0.10946847255003046, 0.11371829224351261, 0.02214786990896448, 0.1401318907858683, -0.02743007909724271, 0.0682345174748886, 0.06464497559037144, -0.14273993874327037, 0.0756513091505735, 0.2759578592180238, 0.14796187769464375, 0.29595462766826736, -0.34909040991681045, -0.20335968343734548, 0.2993679040462359, 0.13494300480339338, -0.11601205866832237, -0.020344648455789725, -0.2938574044299977, 0.2409232065396069, -0.11579148181545543, -0.21452521388842302, -0.07317621604382217, 0.14033613441808318, 0.04028654728967745, -0.3250569248112378, -0.012559478470901414, 0.09216108727087448, 0.14089090716964625, -0.011784009189441703, -0.06461780091336408, -0.16951334474656682, 0.10233049423058892, 0.0013164287408838024, 0.2110991358436499, 0.09953970602311363, -0.07321372243587847, -0.10099299917263645, 0.3976496793571618, -0.1339691893118978, -0.25564301664965206, 0.08475098946409954, -0.18756927908458687, -0.15594526480689838, 0.1323409403263071, 0.1096661365893367, 0.1526533846634549, -0.044411571835494275, 0.21582704424395455, -0.13801268323675378, 0.12806168401783163, 0.07202772243408026, -0.030326472881080754, 0.15515881238577814, 0.012303237612782554, 0.17591581312189628, 0.086673455609178, 0.024938262926487178, 0.08022111569615928, -0.3507556435780588, -0.16542968559139348, -0.1882497409552142, 0.18307842149749978, -0.17011291794943798, -0.1605984895889248, 0.38127025185975355, 0.0557273448121359, 0.21338127301884935, 0.0986486468706038, 0.19481874619423134, 0.1192482652463164, 0.06192703173169262, 0.16244685609958, 0.07907916746985216, 0.16837116762354679, -0.09067893778155377, -0.1703594236350437, 0.05490403373229813, 0.12762635587654136] |
709.2512 | Quantifying Homology Classes II: Localization and Stability | In the companion paper, we measured homology classes and computed the optimal
homology basis. This paper addresses two related problems, namely, localization
and stability. We localize a class with the cycle minimizing a certain
objective function. We explore three different objective functions, namely,
volume, diameter and radius. We show that it is NP-hard to compute the smallest
cycle using the former two. We also prove that the measurement defined in the
companion paper is stable with regard to small changes of the geometry of the
concerned space.
| cs.CG cs.CC math.AT | in the companion paper we measured homology classes and computed the optimal homology basis this paper addresses two related problems namely localization and stability we localize a class with the cycle minimizing a certain objective function we explore three different objective functions namely volume diameter and radius we show that it is nphard to compute the smallest cycle using the former two we also prove that the measurement defined in the companion paper is stable with regard to small changes of the geometry of the concerned space | [['in', 'the', 'companion', 'paper', 'we', 'measured', 'homology', 'classes', 'and', 'computed', 'the', 'optimal', 'homology', 'basis', 'this', 'paper', 'addresses', 'two', 'related', 'problems', 'namely', 'localization', 'and', 'stability', 'we', 'localize', 'a', 'class', 'with', 'the', 'cycle', 'minimizing', 'a', 'certain', 'objective', 'function', 'we', 'explore', 'three', 'different', 'objective', 'functions', 'namely', 'volume', 'diameter', 'and', 'radius', 'we', 'show', 'that', 'it', 'is', 'nphard', 'to', 'compute', 'the', 'smallest', 'cycle', 'using', 'the', 'former', 'two', 'we', 'also', 'prove', 'that', 'the', 'measurement', 'defined', 'in', 'the', 'companion', 'paper', 'is', 'stable', 'with', 'regard', 'to', 'small', 'changes', 'of', 'the', 'geometry', 'of', 'the', 'concerned', 'space']] | [-0.18687045815850384, 0.06653889804950049, -0.029605626760200524, 0.09884973618217968, -0.03353004685292641, -0.0952966580295871, 0.005771001887871702, 0.37993097981844826, -0.3193557703246673, -0.2789960926420045, 0.12460066144750721, -0.24711589997998257, -0.22147688072645802, 0.14766757736175223, -0.15051916048958383, 0.05100785093060855, 0.08443022424612066, 0.03697802985472412, -0.09889653733471172, -0.23757975960375163, 0.380359613240279, -0.006387625531903629, 0.22017346195148668, 0.06577314799865601, 0.09359570069977179, 0.011889687460986361, -0.040348324309178125, 0.08975562009520176, -0.20214109174755332, 0.1528690561817607, 0.2381150155012421, 0.13740517391459267, 0.25260651418832186, -0.3483439591210121, -0.13315271464144363, 0.18704772027659006, 0.10209237449352854, 0.04433294055962014, 0.004703899735756133, -0.18809993232696734, 0.1377324196135347, -0.16218127994316406, -0.13426426109782924, -0.009853013630571037, 0.008364813279189256, 0.019037411066478695, -0.2237798365304011, 0.011173141030688375, 0.030002832123688584, 0.041498647756532, -0.11821741601131086, -0.09970665813541446, 0.038359125578326395, 0.1475315068409532, 0.054831180356552656, 0.05404968267499373, 0.10665471631840899, -0.0837338803544769, -0.085692235075965, 0.36040369557195356, -0.06084264436436967, -0.22373791512144708, 0.17377442929722453, -0.14463120176531802, -0.18049270253971048, 0.09069288391405823, 0.1535015854898883, 0.18184389745623902, -0.11707773374329353, 0.05445056198627806, -0.045528669497694005, 0.1698822130358125, 0.07823847226220472, 0.015501868965949905, 0.14738581441182258, 0.15601518710984194, 0.1330332014195878, 0.21040247628350217, -0.0913717342519212, -0.08354351110756397, -0.2950272323114091, -0.1643647389786168, -0.20535693553693848, 0.019988205856590092, -0.06424057847052818, -0.17273933689870025, 0.4478070849349358, 0.1430432387124533, 0.2081222034369906, 0.11184404444634571, 0.2709756665702524, 0.10901184502089846, 0.019170465785474784, 0.08240875573935864, 0.2385843077824376, 0.11336332054583934, 0.042179043394053116, -0.22121875516899014, 0.03928000383592885, 0.13976640774515167] |
709.2513 | Extension of the Weil-Petersson connection | Convexity properties of Weil-Petersson geodesics on the Teichm\"{u}ller space
of punctured Riemann surfaces are investigated. A normal form is presented for
the Weil-Petersson Levi-Civita connection for pinched hyperbolic metrics. The
normal form is used to establish approximation of geodesics in boundary spaces.
Considerations are combined to establish convexity along Weil-Petersson
geodesics of the functions the distance between horocycles for a hyperbolic
metric.
| math.DG | convexity properties of weilpetersson geodesics on the teichmuller space of punctured riemann surfaces are investigated a normal form is presented for the weilpetersson levicivita connection for pinched hyperbolic metrics the normal form is used to establish approximation of geodesics in boundary spaces considerations are combined to establish convexity along weilpetersson geodesics of the functions the distance between horocycles for a hyperbolic metric | [['convexity', 'properties', 'of', 'weilpetersson', 'geodesics', 'on', 'the', 'teichmuller', 'space', 'of', 'punctured', 'riemann', 'surfaces', 'are', 'investigated', 'a', 'normal', 'form', 'is', 'presented', 'for', 'the', 'weilpetersson', 'levicivita', 'connection', 'for', 'pinched', 'hyperbolic', 'metrics', 'the', 'normal', 'form', 'is', 'used', 'to', 'establish', 'approximation', 'of', 'geodesics', 'in', 'boundary', 'spaces', 'considerations', 'are', 'combined', 'to', 'establish', 'convexity', 'along', 'weilpetersson', 'geodesics', 'of', 'the', 'functions', 'the', 'distance', 'between', 'horocycles', 'for', 'a', 'hyperbolic', 'metric']] | [-0.2760477692880217, 0.06732200141320185, -0.14628435295796202, 0.18312859532588552, -0.18549704003418166, -0.10093432018953946, -0.02099438562178083, 0.38652616402795237, -0.29437683273347154, -0.13812032061058185, 0.06490718210378903, -0.3238992520247496, -0.1679882876755249, 0.23329136532641226, -0.15025585144758224, 0.0973729605095521, 0.05731181401173554, 0.0649230748174652, -0.1999802839371466, -0.23397362815035927, 0.4744206069698257, -0.01103016021454917, 0.2690854223985826, 0.08296685520661178, 0.11876494134025227, -0.059817632146258536, 0.005858591179393472, 0.018406749139220694, -0.25449951711080726, 0.19068723719476932, 0.23943007910143463, 0.07481670957208882, 0.16852581045860726, -0.3945839605143955, -0.20520487756678654, 0.10579091960924768, 0.0883777844644482, -0.1173596715013827, -0.02908268877898433, -0.2938951268461683, 0.0390605928917085, 0.032704409046639356, -0.2533987401834419, -0.05922144099379018, 0.025186040566392964, 0.05728959637664018, -0.13190933851705444, 0.0002889679519519691, 0.06516110710799694, 0.06401854733966532, -0.11251240804971706, -0.041913855220040964, -0.05850151193989141, 0.09310063676187588, 0.14897515449763066, 0.09934305188606583, 0.08896033572983147, 0.020175731955884745, -0.05670216219169238, 0.355011245611334, -0.07316488102679292, -0.3693466986259145, 0.08780684598511265, -0.16420439059936232, -0.0845335879242949, 0.1147700217327163, 0.21896614458443853, 0.18652301347784458, -0.09391396534028312, 0.20600096421736863, -0.023764850029105982, -0.02144552451828795, 0.17673541760192282, -0.03163108719332564, 0.14421348616240487, 0.07802032939939489, 0.13340824818418873, 0.1690874671631102, -0.014858236596468956, -0.11835088303233797, -0.40150690511349707, -0.30550522318169954, -0.15374775753626901, 0.13341897614901105, -0.21468297397387365, -0.2959764322881857, 0.306861094424441, -0.08077116768747088, 0.18866059377098515, 0.21357143479549595, 0.22017354226761288, -0.0026369533227426152, 0.05169408290737098, 0.1391941869871751, 0.25627867396800746, 0.2641044184865971, -0.022605932850931442, -0.11149569410049627, 0.015829605035363667, 0.26921835672410743] |
709.2514 | Time Optimal Attitude Control for a Rigid Body | A time optimal attitude control problem is studied for the dynamics of a
rigid body. The objective is to minimize the time to rotate the rigid body to a
desired attitude and angular velocity while subject to constraints on the
control input. Necessary conditions for optimality are developed directly on
the special orthogonal group using rotation matrices. They completely avoid
singularities associated with local parameterizations such as Euler angles, and
they are expressed as compact vector equations. In addition, a discrete control
method based on a geometric numerical integrator, referred to as a Lie group
variational integrator, is proposed to compute the optimal control input. The
computational approach is geometrically exact and numerically efficient. The
proposed method is demonstrated by a large-angle maneuver for an elliptic
cylinder rigid body.
| math.OC | a time optimal attitude control problem is studied for the dynamics of a rigid body the objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control input necessary conditions for optimality are developed directly on the special orthogonal group using rotation matrices they completely avoid singularities associated with local parameterizations such as euler angles and they are expressed as compact vector equations in addition a discrete control method based on a geometric numerical integrator referred to as a lie group variational integrator is proposed to compute the optimal control input the computational approach is geometrically exact and numerically efficient the proposed method is demonstrated by a largeangle maneuver for an elliptic cylinder rigid body | [['a', 'time', 'optimal', 'attitude', 'control', 'problem', 'is', 'studied', 'for', 'the', 'dynamics', 'of', 'a', 'rigid', 'body', 'the', 'objective', 'is', 'to', 'minimize', 'the', 'time', 'to', 'rotate', 'the', 'rigid', 'body', 'to', 'a', 'desired', 'attitude', 'and', 'angular', 'velocity', 'while', 'subject', 'to', 'constraints', 'on', 'the', 'control', 'input', 'necessary', 'conditions', 'for', 'optimality', 'are', 'developed', 'directly', 'on', 'the', 'special', 'orthogonal', 'group', 'using', 'rotation', 'matrices', 'they', 'completely', 'avoid', 'singularities', 'associated', 'with', 'local', 'parameterizations', 'such', 'as', 'euler', 'angles', 'and', 'they', 'are', 'expressed', 'as', 'compact', 'vector', 'equations', 'in', 'addition', 'a', 'discrete', 'control', 'method', 'based', 'on', 'a', 'geometric', 'numerical', 'integrator', 'referred', 'to', 'as', 'a', 'lie', 'group', 'variational', 'integrator', 'is', 'proposed', 'to', 'compute', 'the', 'optimal', 'control', 'input', 'the', 'computational', 'approach', 'is', 'geometrically', 'exact', 'and', 'numerically', 'efficient', 'the', 'proposed', 'method', 'is', 'demonstrated', 'by', 'a', 'largeangle', 'maneuver', 'for', 'an', 'elliptic', 'cylinder', 'rigid', 'body']] | [-0.155903731768792, 0.05328540517436431, -0.11067975319690945, 0.053700177465536625, -0.14125244496859496, -0.14819514181450472, -0.012575789688645984, 0.4016703799251438, -0.2993597465516754, -0.29027472937826154, 0.1508056643886434, -0.19140051732691685, -0.14425226846753164, 0.20380117841310394, -0.12622705627189473, 0.1600753448672535, 0.04634329736008951, 0.0598653254330216, -0.08085137932171482, -0.19475846130458652, 0.26920518941830757, 0.022450731356101213, 0.25859362490532933, -0.03721872160604671, 0.21041256571892475, 0.004514919573512441, 0.0011119708299723475, 0.03188208583381402, -0.11761177276521055, 0.09893270303195617, 0.254970968367041, 0.06875665530981134, 0.27380671441670534, -0.4243272081912719, -0.1757341974104444, 0.0745701266600671, 0.12063139546193298, 0.10138182151275724, -0.04343193259731823, -0.2832602497565654, 0.07918534848781288, -0.1434286436997354, -0.1861213442811728, -0.0985687082911329, 0.023247254781367244, 0.03735272621586125, -0.2941174194895366, 0.04891581574902516, 0.028698902069988062, 0.04744232375203639, -0.09938413868549952, -0.06450047721552063, -0.0338897656716132, 0.1360896005233851, 0.04014561522405508, 0.04105744735417209, 0.14917544011286524, -0.06363112731049805, -0.10239709607260518, 0.43147167658014585, 0.0025776203274149303, -0.35068901904223326, 0.15379001921613145, -0.06602733861835486, -0.07931160097472485, 0.15142431448560295, 0.2317721685178058, 0.158709082642368, -0.1386012876146408, 0.05917919925170366, -0.04560285844919525, 0.12815085750852906, 0.059848346234869586, -0.04089858064557924, 0.1345174315407179, 0.12370779479550588, 0.16608751337080038, 0.11468531214632094, -0.04746825218357709, -0.13576937393942315, -0.29157595349432425, -0.11790972725982785, -0.17773513599973922, 0.010761443994823814, -0.05749839385432216, -0.14671993352537757, 0.365903571665435, 0.07109221546412554, 0.17809771345350747, 0.09526200533018568, 0.3616219562110166, 0.11473602524601183, 0.057677311860674686, 0.08295179303201247, 0.23078838635828028, 0.1577205863301173, 0.03743897337834676, -0.2580435735483964, 0.06957609523015544, 0.11975695775431949] |
709.2515 | Hanle effect in the CN violet system with LTE modeling | Weak entangled magnetic fields with mixed polarity occupy the main part of
the quiet Sun. The Zeeman effect diagnostics fails to measure such fields
because of cancellation in circular polarization. However, the Hanle effect
diagnostics, accessible through the second solar spectrum, provides us with a
very sensitive tool for studying the distribution of weak magnetic fields on
the Sun. Molecular lines are very strong and even dominate in some regions of
the second solar spectrum. The CN $B {}^{2} \Sigma - X {}^{2} \Sigma$ system is
one of the richest and most promising systems for molecular diagnostics and
well suited for the application of the differential Hanle effect method. The
aim is to interpret observations of the CN $B {}^{2} \Sigma - X {}^{2} \Sigma$
system using the Hanle effect and to obtain an estimation of the magnetic field
strength. We assume that the CN molecular layer is situated above the region
where the continuum radiation is formed and employ the single-scattering
approximation. Together with the Hanle effect theory this provides us with a
model that can diagnose turbulent magnetic fields. We have succeeded in fitting
modeled CN lines in several regions of the second solar spectrum to
observations and obtained a magnetic field strength in the range from 10--30 G
in the upper solar photosphere depending on the considered lines.
| astro-ph | weak entangled magnetic fields with mixed polarity occupy the main part of the quiet sun the zeeman effect diagnostics fails to measure such fields because of cancellation in circular polarization however the hanle effect diagnostics accessible through the second solar spectrum provides us with a very sensitive tool for studying the distribution of weak magnetic fields on the sun molecular lines are very strong and even dominate in some regions of the second solar spectrum the cn b 2 sigma x 2 sigma system is one of the richest and most promising systems for molecular diagnostics and well suited for the application of the differential hanle effect method the aim is to interpret observations of the cn b 2 sigma x 2 sigma system using the hanle effect and to obtain an estimation of the magnetic field strength we assume that the cn molecular layer is situated above the region where the continuum radiation is formed and employ the singlescattering approximation together with the hanle effect theory this provides us with a model that can diagnose turbulent magnetic fields we have succeeded in fitting modeled cn lines in several regions of the second solar spectrum to observations and obtained a magnetic field strength in the range from 1030 g in the upper solar photosphere depending on the considered lines | [['weak', 'entangled', 'magnetic', 'fields', 'with', 'mixed', 'polarity', 'occupy', 'the', 'main', 'part', 'of', 'the', 'quiet', 'sun', 'the', 'zeeman', 'effect', 'diagnostics', 'fails', 'to', 'measure', 'such', 'fields', 'because', 'of', 'cancellation', 'in', 'circular', 'polarization', 'however', 'the', 'hanle', 'effect', 'diagnostics', 'accessible', 'through', 'the', 'second', 'solar', 'spectrum', 'provides', 'us', 'with', 'a', 'very', 'sensitive', 'tool', 'for', 'studying', 'the', 'distribution', 'of', 'weak', 'magnetic', 'fields', 'on', 'the', 'sun', 'molecular', 'lines', 'are', 'very', 'strong', 'and', 'even', 'dominate', 'in', 'some', 'regions', 'of', 'the', 'second', 'solar', 'spectrum', 'the', 'cn', 'b', '2', 'sigma', 'x', '2', 'sigma', 'system', 'is', 'one', 'of', 'the', 'richest', 'and', 'most', 'promising', 'systems', 'for', 'molecular', 'diagnostics', 'and', 'well', 'suited', 'for', 'the', 'application', 'of', 'the', 'differential', 'hanle', 'effect', 'method', 'the', 'aim', 'is', 'to', 'interpret', 'observations', 'of', 'the', 'cn', 'b', '2', 'sigma', 'x', '2', 'sigma', 'system', 'using', 'the', 'hanle', 'effect', 'and', 'to', 'obtain', 'an', 'estimation', 'of', 'the', 'magnetic', 'field', 'strength', 'we', 'assume', 'that', 'the', 'cn', 'molecular', 'layer', 'is', 'situated', 'above', 'the', 'region', 'where', 'the', 'continuum', 'radiation', 'is', 'formed', 'and', 'employ', 'the', 'singlescattering', 'approximation', 'together', 'with', 'the', 'hanle', 'effect', 'theory', 'this', 'provides', 'us', 'with', 'a', 'model', 'that', 'can', 'diagnose', 'turbulent', 'magnetic', 'fields', 'we', 'have', 'succeeded', 'in', 'fitting', 'modeled', 'cn', 'lines', 'in', 'several', 'regions', 'of', 'the', 'second', 'solar', 'spectrum', 'to', 'observations', 'and', 'obtained', 'a', 'magnetic', 'field', 'strength', 'in', 'the', 'range', 'from', '1030', 'g', 'in', 'the', 'upper', 'solar', 'photosphere', 'depending', 'on', 'the', 'considered', 'lines']] | [-0.1262646417971275, 0.11357820456584153, -0.011767685160994504, 0.09161613638949746, -0.04361911335977041, -0.10541298946995101, 0.007836379817278725, 0.3813811287317918, -0.22689002226096192, -0.3305062890503572, 0.05621401545991398, -0.22784801072241168, -0.0877367422499239, 0.21355725296126618, 0.022483457646255072, -0.04740559127655935, 0.011145159222619378, 0.026515314206651083, -0.027862567035162388, -0.16243634933550505, 0.30273287221746836, 0.04665206534868812, 0.22746737304964362, 0.04000721273935277, 0.03777704549502564, -0.04215651958092163, -0.005481271552704445, 0.03150533972792838, -0.09463619104976985, 0.10064172952172248, 0.19931281248179847, 0.07492329926361845, 0.2048244907788626, -0.415696955290219, -0.22922854687695363, 0.06798587985800315, 0.13671705542030196, 0.060745470515520365, -0.014238833645401208, -0.2662007308832995, 0.060213205115401854, -0.07887307690779709, -0.15037822951807228, 0.0096052251532929, 0.031014983517810974, 0.0031407104446829113, -0.3037700948962457, 0.05263277365439083, 0.0398765422885421, 0.13359906776480218, -0.08129512827915722, -0.12093517300034937, -0.04826585552548845, 0.14672955474284685, 0.03278711274612831, 0.06686256898856258, 0.16868568048493504, -0.13590538690130324, -0.04123966449863154, 0.3915489601081909, -0.14141170823623397, -0.11401255254433852, 0.19293910909027337, -0.24119791058508772, -0.14977679692940216, 0.1644832621781436, 0.1486098534500941, 0.1394202423672145, -0.09167743205692466, 0.0925998430083544, -0.027514528342816112, 0.1632180408963755, 0.01839462886075383, 0.03919382828934178, 0.24676416931380454, 0.11957704126420239, 0.056509727621706175, 0.11099695539305021, -0.2273683235300152, -0.029560332193962174, -0.27503803362602103, -0.13081749194975703, -0.12994696252094795, 0.05753458404943313, -0.06924528881365787, -0.15498193443995223, 0.37980400575069734, 0.16320802351527902, 0.19521631693331148, -0.04331499350376291, 0.29173629669702217, 0.1261877603828907, 0.06324431769332964, 0.06363559719898045, 0.2951866542516738, 0.24793030505629945, 0.13166626844081106, -0.24362030734143808, 0.04227035348920245, 0.016536705958184926] |
709.2516 | Calice Si-W EM Calorimeter: Preliminary Results of the Testbeams 2006 | The CALICE Si-W electromagnetic calorimeter has been tested with electron
beams (1 to 6 GeV) at DESY in May 2006, as well as electrons (6 to 45 GeV) and
hadrons (6 to 80 GeV) at CERN in August and October 2006. Several millions of
events have been taken at different incident angles and three beam impact
positions. The ECAL calibration is performed with muon beams and shows a good
uniformity for nearly all channels. The large statistics available allows not
only to characterise the ECAL physics performance, but also to identify subtle
hardware effects.
| physics.ins-det | the calice siw electromagnetic calorimeter has been tested with electron beams 1 to 6 gev at desy in may 2006 as well as electrons 6 to 45 gev and hadrons 6 to 80 gev at cern in august and october 2006 several millions of events have been taken at different incident angles and three beam impact positions the ecal calibration is performed with muon beams and shows a good uniformity for nearly all channels the large statistics available allows not only to characterise the ecal physics performance but also to identify subtle hardware effects | [['the', 'calice', 'siw', 'electromagnetic', 'calorimeter', 'has', 'been', 'tested', 'with', 'electron', 'beams', '1', 'to', '6', 'gev', 'at', 'desy', 'in', 'may', '2006', 'as', 'well', 'as', 'electrons', '6', 'to', '45', 'gev', 'and', 'hadrons', '6', 'to', '80', 'gev', 'at', 'cern', 'in', 'august', 'and', 'october', '2006', 'several', 'millions', 'of', 'events', 'have', 'been', 'taken', 'at', 'different', 'incident', 'angles', 'and', 'three', 'beam', 'impact', 'positions', 'the', 'ecal', 'calibration', 'is', 'performed', 'with', 'muon', 'beams', 'and', 'shows', 'a', 'good', 'uniformity', 'for', 'nearly', 'all', 'channels', 'the', 'large', 'statistics', 'available', 'allows', 'not', 'only', 'to', 'characterise', 'the', 'ecal', 'physics', 'performance', 'but', 'also', 'to', 'identify', 'subtle', 'hardware', 'effects']] | [-0.0608485341815159, 0.21114449332805074, -0.06116540872917927, 0.10132886552217199, -0.034039170506033806, -0.16250368655025166, -0.0387354626399564, 0.437213119396821, -0.15942072940920976, -0.47059537767571336, 0.03558224444327123, -0.35313493551632535, 0.06565235867264106, 0.218124396674226, 0.011384768312440273, 0.12221929662801484, 0.11520496816275284, -0.05094108156899505, -0.03875957831661118, -0.2613514780383953, 0.17570970970096977, 0.20262730991507463, 0.2877744161771571, 0.10640372655929085, 0.17117315736856867, 0.007449064502849224, -0.02539931403651358, -0.05003568023676053, -0.06958262684279458, -0.02468831960032595, 0.2820577818821085, 0.06391107003412586, 0.1912204467374435, -0.40076570417063234, -0.12364710351214447, 0.05933180111559465, 0.0855825869762834, -0.00029468828158334213, -0.030396596607851222, -0.2736903220623177, 0.09607080724882952, -0.20423189947936446, -0.138655349265467, 0.007589649879670841, 0.025725543380100677, 0.013287080585599896, -0.24892472281081088, -0.02128815215775753, -0.05478299556651767, 0.11074570707104942, 0.020294108588441693, -0.20225068240703897, 0.02571330838985345, 0.09703345192556685, 0.059223699004468604, 0.07043178601963247, 0.1437715356475971, -0.07567629540596713, -0.15161619864483464, 0.3751843943399318, 0.04444574891649028, -0.1003663203619579, 0.22916851319035791, -0.27064782031316387, -0.09823525445337625, 0.23010179153742624, 0.25077134468889933, 0.02092808034231371, -0.2246834727232047, 0.0339850835586363, 0.006060519067451675, 0.20249679718325111, 0.14655803761227018, 0.04584120929815826, 0.1942811004366686, 0.17994363024890264, 0.0014362875706555836, 0.07868032864829962, -0.21526202646411083, 0.020432822192038232, -0.32761299189928167, -0.07892390586277272, -0.0993814175054332, 0.03233100268064052, 0.02732371106360509, -0.04964729013079976, 0.4119126029074826, 0.0810321288671285, 0.18376520995367715, -0.0825130242527403, 0.2799621623930858, -0.030207820853436405, 0.07996492529971565, 0.08143366403144567, 0.3458832599856752, 0.12753220637665785, 0.21480240728805197, -0.11315488981756758, -0.0236703488985671, -0.01657811318464736] |
709.2517 | Compact Stellar Systems around NGC 1399 | We have obtained spectroscopic redshifts of colour-selected point sources in
four wide area VLT-FLAMES fields around the Fornax Cluster giant elliptical
galaxy NGC 1399, identifying as cluster members 30 previously unknown faint
(-10.5<M_g'<-8.8) compact stellar systems (CSS), and improving redshift
accuracy for 23 previously catalogued CSS.
By amalgamating our results with CSS from previous 2dF observations and
excluding CSS dynamically associated with prominent (non-dwarf) galaxies
surrounding NGC 1399, we have isolated 80 `unbound' systems that are either
part of NGC 1399's globular cluster (GC) system or intracluster GCs. For these
unbound systems, we find (i) they are mostly located off the main stellar locus
in colour-colour space; (ii) their projected distribution about NGC 1399 is
anisotropic, following the Fornax Cluster galaxy distribution, and there is
weak evidence for group rotation about NGC 1399; (iii) their
completeness-adjusted radial surface density profile has a slope similar to
that of NGC 1399's inner GC system; (iv) their mean heliocentric recessional
velocity is between that of NGC 1399's inner GCs and that of the surrounding
dwarf galaxies, but their velocity dispersion is significantly lower; (v)
bright CSS (M_V<-11) are slightly redder than the fainter systems, suggesting
they have higher metallicity; (vi) CSS show no significant trend in $g' - i'$
colour index with radial distance from NGC 1399.
| astro-ph | we have obtained spectroscopic redshifts of colourselected point sources in four wide area vltflames fields around the fornax cluster giant elliptical galaxy ngc 1399 identifying as cluster members 30 previously unknown faint 105m_g88 compact stellar systems css and improving redshift accuracy for 23 previously catalogued css by amalgamating our results with css from previous 2df observations and excluding css dynamically associated with prominent nondwarf galaxies surrounding ngc 1399 we have isolated 80 unbound systems that are either part of ngc 1399s globular cluster gc system or intracluster gcs for these unbound systems we find i they are mostly located off the main stellar locus in colourcolour space ii their projected distribution about ngc 1399 is anisotropic following the fornax cluster galaxy distribution and there is weak evidence for group rotation about ngc 1399 iii their completenessadjusted radial surface density profile has a slope similar to that of ngc 1399s inner gc system iv their mean heliocentric recessional velocity is between that of ngc 1399s inner gcs and that of the surrounding dwarf galaxies but their velocity dispersion is significantly lower v bright css m_v11 are slightly redder than the fainter systems suggesting they have higher metallicity vi css show no significant trend in g i colour index with radial distance from ngc 1399 | [['we', 'have', 'obtained', 'spectroscopic', 'redshifts', 'of', 'colourselected', 'point', 'sources', 'in', 'four', 'wide', 'area', 'vltflames', 'fields', 'around', 'the', 'fornax', 'cluster', 'giant', 'elliptical', 'galaxy', 'ngc', '1399', 'identifying', 'as', 'cluster', 'members', '30', 'previously', 'unknown', 'faint', '105m_g88', 'compact', 'stellar', 'systems', 'css', 'and', 'improving', 'redshift', 'accuracy', 'for', '23', 'previously', 'catalogued', 'css', 'by', 'amalgamating', 'our', 'results', 'with', 'css', 'from', 'previous', '2df', 'observations', 'and', 'excluding', 'css', 'dynamically', 'associated', 'with', 'prominent', 'nondwarf', 'galaxies', 'surrounding', 'ngc', '1399', 'we', 'have', 'isolated', '80', 'unbound', 'systems', 'that', 'are', 'either', 'part', 'of', 'ngc', '1399s', 'globular', 'cluster', 'gc', 'system', 'or', 'intracluster', 'gcs', 'for', 'these', 'unbound', 'systems', 'we', 'find', 'i', 'they', 'are', 'mostly', 'located', 'off', 'the', 'main', 'stellar', 'locus', 'in', 'colourcolour', 'space', 'ii', 'their', 'projected', 'distribution', 'about', 'ngc', '1399', 'is', 'anisotropic', 'following', 'the', 'fornax', 'cluster', 'galaxy', 'distribution', 'and', 'there', 'is', 'weak', 'evidence', 'for', 'group', 'rotation', 'about', 'ngc', '1399', 'iii', 'their', 'completenessadjusted', 'radial', 'surface', 'density', 'profile', 'has', 'a', 'slope', 'similar', 'to', 'that', 'of', 'ngc', '1399s', 'inner', 'gc', 'system', 'iv', 'their', 'mean', 'heliocentric', 'recessional', 'velocity', 'is', 'between', 'that', 'of', 'ngc', '1399s', 'inner', 'gcs', 'and', 'that', 'of', 'the', 'surrounding', 'dwarf', 'galaxies', 'but', 'their', 'velocity', 'dispersion', 'is', 'significantly', 'lower', 'v', 'bright', 'css', 'm_v11', 'are', 'slightly', 'redder', 'than', 'the', 'fainter', 'systems', 'suggesting', 'they', 'have', 'higher', 'metallicity', 'vi', 'css', 'show', 'no', 'significant', 'trend', 'in', 'g', 'i', 'colour', 'index', 'with', 'radial', 'distance', 'from', 'ngc', '1399']] | [-0.08144804906272175, 0.03686555054135868, -0.1337327020931371, 0.10874956207773626, -0.11921054830937977, -0.10336548014504227, 0.023108575953517143, 0.5124413085686511, -0.06916506032865512, -0.36255837535988805, -0.013183304206335749, -0.30646218778344836, -0.013156244018163656, 0.21355931934132572, -0.07578539828906693, -0.08016130185831709, 0.09893160356940829, -0.0959078643131136, -0.030807777807727275, -0.31800313124441987, 0.3182763008961357, 0.01739353259062059, 0.12349523407499796, -0.15252341144945544, 0.011045445101026676, -0.09568200244510908, -0.06443423876523424, -0.040162186680270044, -0.12082705513855015, 0.023748001229388735, 0.24202687317125887, 0.12208297381505687, 0.22851575323120113, -0.2579388967367613, -0.18337137577172494, 0.05764001930050852, 0.2996915709779055, 0.018866784124683712, -0.09843671140911348, -0.3481884295632842, 0.09603048703010895, -0.22171195292783574, -0.2723678822532049, 0.14837907011934084, 0.11742886075511645, 0.05587736406292925, -0.08943133106702382, 0.25910159052565906, -0.00417580184462189, 0.15318884167233174, -0.15660836426342586, -0.21180100937515178, -0.11556206931916212, 0.07645739205909884, -0.04925726095801528, 0.11665591512535262, 0.22377696000171993, -0.10329351900366104, 0.05344757990761532, 0.3733161616876227, -0.014505198926422679, 0.0781195171009661, 0.2527657313563671, -0.20582907572134854, -0.24086639356591974, 0.0727757040347233, 0.1229091425375545, 0.06896013967578092, -0.17814847871978984, 0.02039182036828197, -0.04831807129691969, 0.23152046625116748, 0.055484328167380595, 0.08620621097095915, 0.2863740602037009, 0.0006923678152316131, 0.09216047647592315, 0.05037617218301089, -0.26124258680844026, -0.023748087403209994, -0.170316276356238, -0.043287502431809476, -0.07937581339074185, 0.06495978111198163, -0.186434600285698, -0.1202951787032465, 0.27288837294575374, 0.02070236125681218, 0.18246504697028407, 0.04509594489996028, 0.27480033686565525, 0.05345193252422057, 0.14719001820169708, 0.2378670404228201, 0.3161742252284458, 0.21163065768491424, 0.015993308008900045, -0.24686509541840562, 0.05452513521974708, -0.03151443373341272] |
709.2518 | Contact Interactions at the LHC | Contact interactions offer a general framework for describing a new
interaction with a scale above the energy scale probed. These interactions can
occur if the Standard Model particles are composite or if new heavy particles
are exchanged. The discovery potential of contact interactions at the LHC in
dimuon and dijet final states at startup and the asymptotic reach are
presented.
| hep-ex hep-ph | contact interactions offer a general framework for describing a new interaction with a scale above the energy scale probed these interactions can occur if the standard model particles are composite or if new heavy particles are exchanged the discovery potential of contact interactions at the lhc in dimuon and dijet final states at startup and the asymptotic reach are presented | [['contact', 'interactions', 'offer', 'a', 'general', 'framework', 'for', 'describing', 'a', 'new', 'interaction', 'with', 'a', 'scale', 'above', 'the', 'energy', 'scale', 'probed', 'these', 'interactions', 'can', 'occur', 'if', 'the', 'standard', 'model', 'particles', 'are', 'composite', 'or', 'if', 'new', 'heavy', 'particles', 'are', 'exchanged', 'the', 'discovery', 'potential', 'of', 'contact', 'interactions', 'at', 'the', 'lhc', 'in', 'dimuon', 'and', 'dijet', 'final', 'states', 'at', 'startup', 'and', 'the', 'asymptotic', 'reach', 'are', 'presented']] | [-0.12618394264330465, 0.28848973928640287, -0.09386241489458674, 0.13736136133472124, -0.020340924244374038, -0.2012407461957385, -0.006238619996778046, 0.3058782539019982, -0.2653969047901531, -0.34870220814676334, 0.02701901469651299, -0.32613806766457853, -0.024138539241782078, 0.12112936409345518, 0.09702734534318248, 0.05074581215158105, 0.11949999950981388, 0.02904689103209724, -0.04063264708966017, -0.21638887411293883, 0.3004757137969136, 0.03489528041876232, 0.19546576184220613, 0.16567317653292168, 0.08203028369074067, 0.057082599118196714, 0.020018044226647665, 0.005902420931185285, -0.09862921270541847, 0.06481024074503997, 0.20203040406825798, 0.008799533301498741, 0.18157174947361152, -0.39901651178176206, -0.15620658512537677, 0.11261003753946473, 0.1566925056511536, 0.087423079352205, -0.10743837143139293, -0.3157418147505571, 0.07485866888891905, -0.20468748956918717, -0.14821539550709228, -0.06969301870558411, -0.036935018841177225, 0.007048812733652691, -0.31029375999545056, 0.10698997410945595, -0.028284828178584576, 0.030333867464893652, -0.025103555736131968, -0.10989188273864177, -0.04953350749177237, 0.09096340547548606, 0.042943177261622625, -0.011671164336924751, 0.19614361425240834, -0.18742322333467504, -0.1272761317513262, 0.3604634716796378, -0.0391862859018147, -0.19614866234672565, 0.2724580836792787, -0.15303210376296192, -0.12604877567694833, 0.1443051467028757, 0.2743855812276403, 0.0725558080089589, -0.20880040675401687, 0.1093781777327725, 0.017868178058415653, 0.10843607522547245, 0.05080655784501384, 0.048826173484364216, 0.2780301959719509, 0.2532770033770551, 0.016079577105119824, 0.04027790652277569, -0.08069545139248173, -0.10772793740034103, -0.41712519638240336, -0.12115358348625402, -0.130654993551434, 0.009586447803303599, -0.044607840586589495, -0.0843283320001016, 0.37501336317509415, 0.10089408066899826, 0.2461775273239861, 0.06348599009215831, 0.2602696745947469, 0.09407308918113509, 0.09749878821118424, 0.07764861625619232, 0.3626885034609586, 0.04885996729135513, 0.12272064078909656, -0.155798294985046, 0.07319464592146688, 0.01805382383366426] |
709.2519 | A photometric search for transients in galaxy clusters | We have begun a program to search for supernovae and other transients in the
fields of galaxy clusters with the 2.3m Bok Telescope on Kitt Peak. We present
our automated photometric methods for data reduction, efficiency
characterization, and initial spectroscopy. With this program, we aim to
ultimately identify $\sim$25-35 cluster SN Ia ($\sim$10 of which will be
intracluster, hostless events) and constrain the SN Ia rate associated with
old, passive stellar populations. With these measurements we will constrain the
relative contribution of hostless and hosted SN Ia to the metal enrichment of
the intracluster medium. In the current work, we have identified a central
excess of transient events within $1.25 r_{200}$ in our cluster fields after
statistically subtracting out the 'background' transient rate taken from an
off-cluster CCD chip. Based on the published rate of SN Ia for cluster
populations we estimate that $\sim$20 percent of the excess cluster transients
are due to cluster SN Ia, a comparable fraction to core collapse (CC)
supernovae and the remaining are likely to be active galactic nuclei.
Interestingly, we have identified three intracluster SN candidates, all of
which lay beyond $R>r_{200}$. These events, if truly associated with the
cluster, indicate a large deficit of intracluster (IC) SN at smaller radii, and
may be associated with the IC stars of infalling groups or indicate that the
intracluster light (ICL) in the cluster outskirts is actively forming stars
which contribute CC SN or prompt SN Ia.
| astro-ph | we have begun a program to search for supernovae and other transients in the fields of galaxy clusters with the 23m bok telescope on kitt peak we present our automated photometric methods for data reduction efficiency characterization and initial spectroscopy with this program we aim to ultimately identify sim2535 cluster sn ia sim10 of which will be intracluster hostless events and constrain the sn ia rate associated with old passive stellar populations with these measurements we will constrain the relative contribution of hostless and hosted sn ia to the metal enrichment of the intracluster medium in the current work we have identified a central excess of transient events within 125 r_200 in our cluster fields after statistically subtracting out the background transient rate taken from an offcluster ccd chip based on the published rate of sn ia for cluster populations we estimate that sim20 percent of the excess cluster transients are due to cluster sn ia a comparable fraction to core collapse cc supernovae and the remaining are likely to be active galactic nuclei interestingly we have identified three intracluster sn candidates all of which lay beyond rr_200 these events if truly associated with the cluster indicate a large deficit of intracluster ic sn at smaller radii and may be associated with the ic stars of infalling groups or indicate that the intracluster light icl in the cluster outskirts is actively forming stars which contribute cc sn or prompt sn ia | [['we', 'have', 'begun', 'a', 'program', 'to', 'search', 'for', 'supernovae', 'and', 'other', 'transients', 'in', 'the', 'fields', 'of', 'galaxy', 'clusters', 'with', 'the', '23m', 'bok', 'telescope', 'on', 'kitt', 'peak', 'we', 'present', 'our', 'automated', 'photometric', 'methods', 'for', 'data', 'reduction', 'efficiency', 'characterization', 'and', 'initial', 'spectroscopy', 'with', 'this', 'program', 'we', 'aim', 'to', 'ultimately', 'identify', 'sim2535', 'cluster', 'sn', 'ia', 'sim10', 'of', 'which', 'will', 'be', 'intracluster', 'hostless', 'events', 'and', 'constrain', 'the', 'sn', 'ia', 'rate', 'associated', 'with', 'old', 'passive', 'stellar', 'populations', 'with', 'these', 'measurements', 'we', 'will', 'constrain', 'the', 'relative', 'contribution', 'of', 'hostless', 'and', 'hosted', 'sn', 'ia', 'to', 'the', 'metal', 'enrichment', 'of', 'the', 'intracluster', 'medium', 'in', 'the', 'current', 'work', 'we', 'have', 'identified', 'a', 'central', 'excess', 'of', 'transient', 'events', 'within', '125', 'r_200', 'in', 'our', 'cluster', 'fields', 'after', 'statistically', 'subtracting', 'out', 'the', 'background', 'transient', 'rate', 'taken', 'from', 'an', 'offcluster', 'ccd', 'chip', 'based', 'on', 'the', 'published', 'rate', 'of', 'sn', 'ia', 'for', 'cluster', 'populations', 'we', 'estimate', 'that', 'sim20', 'percent', 'of', 'the', 'excess', 'cluster', 'transients', 'are', 'due', 'to', 'cluster', 'sn', 'ia', 'a', 'comparable', 'fraction', 'to', 'core', 'collapse', 'cc', 'supernovae', 'and', 'the', 'remaining', 'are', 'likely', 'to', 'be', 'active', 'galactic', 'nuclei', 'interestingly', 'we', 'have', 'identified', 'three', 'intracluster', 'sn', 'candidates', 'all', 'of', 'which', 'lay', 'beyond', 'rr_200', 'these', 'events', 'if', 'truly', 'associated', 'with', 'the', 'cluster', 'indicate', 'a', 'large', 'deficit', 'of', 'intracluster', 'ic', 'sn', 'at', 'smaller', 'radii', 'and', 'may', 'be', 'associated', 'with', 'the', 'ic', 'stars', 'of', 'infalling', 'groups', 'or', 'indicate', 'that', 'the', 'intracluster', 'light', 'icl', 'in', 'the', 'cluster', 'outskirts', 'is', 'actively', 'forming', 'stars', 'which', 'contribute', 'cc', 'sn', 'or', 'prompt', 'sn', 'ia']] | [-0.04453937107284074, 0.08757032610498666, -0.06651784379276833, 0.10478110766042195, -0.10941646910256951, -0.08033064408113334, 0.12407789633511448, 0.4216881429457016, -0.17973711989064034, -0.3096466208282063, 0.052304708192350974, -0.3477606562450411, 0.0015941594430697481, 0.21506444668050498, -0.015860285158972958, -0.0838039885333517, 0.12698420394741966, -0.07146582329863971, -0.049750308434588046, -0.36706730359230016, 0.3009776981161697, 0.10520441309942485, 0.19400065862203492, -0.07825230315686145, 0.04684971228425067, -0.09159250489229562, -0.10682443701116578, -0.010118360393466311, -0.12343502340666125, 0.045042140925912945, 0.22750166846462622, 0.17327809201311867, 0.2031674720025446, -0.3802337632611955, -0.22883356242171765, 0.1359727341588197, 0.23188267343884109, 0.06901913117977818, -0.08399352187555767, -0.2810095319656897, 0.11790312700598037, -0.2071401278827355, -0.17986175653458453, 0.10928818047977984, -0.011120622361928349, 0.07760476863409187, -0.1751421010647764, 0.18316909468296338, -0.02275369108822484, 0.04166380398520502, -0.11242863469246665, -0.11886802128034889, -0.022984220646808867, 0.04813552065849865, 0.00272607238486869, 0.06602352904545525, 0.15465490561305978, -0.11768677619358459, -0.0024860407397244515, 0.4012734686807733, -0.021650218231424254, 0.06725160879079081, 0.22697635016220946, -0.20127149905510652, -0.17428310330622054, 0.1381861039955621, 0.1937307276567941, 0.06014850844968126, -0.2052432548753512, -0.052037985810803475, 0.03173790650761776, 0.17738555948674742, 0.011371358156508169, 0.09731793593305746, 0.3040783485888687, 0.13366479884295346, 0.03199379156522889, 0.08185309049197001, -0.250471622868934, 0.028038468808091584, -0.2630133018556156, -0.10487341767792671, -0.0906153110690828, 0.11615401401991125, -0.13166459319905074, -0.11956321925220029, 0.2981417189322014, 0.06229652375641384, 0.18689780620172244, -0.0014252377421669195, 0.24506893427847692, 0.025769242850983726, 0.15207453746403174, 0.12119148135142377, 0.3361558629683059, 0.19295786004747306, 0.08184963135948896, -0.26067861075372784, 0.0744829711204231, -0.009641337871871047] |
709.252 | Orbital-quenching-induced magnetism in Ba_2NaOsO_6 | The double perovskite \bnoo with heptavalent Os ($d^1$) is observed to remain
in the ideal cubic structure ({\it i.e.} without orbital ordering) despite
single occupation of the $t_{2g}$ orbitals, even in the ferromagnetically
ordered phase below 6.8 K. Analysis based on the {\it ab initio} dispersion
expressed in terms of an Os $t_{2g}$-based Wannier function picture, spin-orbit
coupling, Hund's coupling, and strong Coulomb repulsion shows that the magnetic
OsO$_6$ cluster is near a moment-less condition due to spin and orbital
compensation. Quenching (hybridization) then drives the emergence of the small
moment. This compensation, unprecedented in transition metals, arises in a
unified picture that accounts for the observed Mott insulating behavior.
| cond-mat.str-el cond-mat.mtrl-sci | the double perovskite bnoo with heptavalent os d1 is observed to remain in the ideal cubic structure it ie without orbital ordering despite single occupation of the t_2g orbitals even in the ferromagnetically ordered phase below 68 k analysis based on the it ab initio dispersion expressed in terms of an os t_2gbased wannier function picture spinorbit coupling hunds coupling and strong coulomb repulsion shows that the magnetic oso_6 cluster is near a momentless condition due to spin and orbital compensation quenching hybridization then drives the emergence of the small moment this compensation unprecedented in transition metals arises in a unified picture that accounts for the observed mott insulating behavior | [['the', 'double', 'perovskite', 'bnoo', 'with', 'heptavalent', 'os', 'd1', 'is', 'observed', 'to', 'remain', 'in', 'the', 'ideal', 'cubic', 'structure', 'it', 'ie', 'without', 'orbital', 'ordering', 'despite', 'single', 'occupation', 'of', 'the', 't_2g', 'orbitals', 'even', 'in', 'the', 'ferromagnetically', 'ordered', 'phase', 'below', '68', 'k', 'analysis', 'based', 'on', 'the', 'it', 'ab', 'initio', 'dispersion', 'expressed', 'in', 'terms', 'of', 'an', 'os', 't_2gbased', 'wannier', 'function', 'picture', 'spinorbit', 'coupling', 'hunds', 'coupling', 'and', 'strong', 'coulomb', 'repulsion', 'shows', 'that', 'the', 'magnetic', 'oso_6', 'cluster', 'is', 'near', 'a', 'momentless', 'condition', 'due', 'to', 'spin', 'and', 'orbital', 'compensation', 'quenching', 'hybridization', 'then', 'drives', 'the', 'emergence', 'of', 'the', 'small', 'moment', 'this', 'compensation', 'unprecedented', 'in', 'transition', 'metals', 'arises', 'in', 'a', 'unified', 'picture', 'that', 'accounts', 'for', 'the', 'observed', 'mott', 'insulating', 'behavior']] | [-0.2226116888129335, 0.20189728110794208, -0.0046755454294105, 0.08313900577535452, -0.02693438946017038, -0.13629646636719736, 0.10942619737231164, 0.3695081410500891, -0.2615109556920339, -0.2927030087231058, -0.057233580876637914, -0.32950397668771936, -0.12160979465485733, 0.07070478878776047, 0.06834666108142445, -0.07456248908120895, -0.008438320900095957, -0.04816365490502147, -0.13985726905542764, -0.20183279423399994, 0.2561768069623961, 0.001443030303953407, 0.2767901273452999, 0.10278759238519053, 0.024217432643347813, 0.0658448183143111, 0.16855315152103098, 0.003188456878692747, -0.09950748244455523, 0.04218699506301189, 0.23547078489769843, -0.06950626929212257, 0.23474151957736603, -0.40466003004183, -0.13013744729497062, -0.025718137829686367, 0.15398463589644112, 0.12640986166389606, -0.06273874271090935, -0.25829009101595557, 0.01543926648745557, -0.16178065059689162, -0.1519303620122721, -0.11640300482476705, 0.003637878972793294, -0.027529242981625634, -0.2927564974231254, 0.11940333211498562, 0.11007998192630639, 0.10580004508842096, -0.13217745943508485, -0.11799637445849236, -0.12248406582947159, 0.03579804199860893, 0.04855850101046038, 0.10191678857674526, 0.10042519062304887, -0.09328428467639904, -0.07649736929354127, 0.41597885798628087, -0.047722624160053434, -0.07715032845909629, 0.161332098660538, -0.23860844598961212, -0.0884522494259421, 0.1900609613082885, 0.06759096123278141, 0.06734541791412875, -0.10836048581404611, 0.13343868233050246, 0.004093982496899422, 0.20839103964096475, 0.011502291898408505, 0.08395149077889379, 0.2633569905116597, 0.18055261287698957, 0.04624621804681755, 0.08804713027708441, -0.11296244904129096, -0.14009574299382271, -0.20812298429729503, -0.1314870336187664, -0.25465750848552404, 0.07325049976287322, -0.09885984999274565, -0.2276387628446394, 0.3513358202798262, 0.1273533306824409, 0.16423239867272568, -0.07987197061617658, 0.2229633605995468, 0.1268845490858864, 0.08068947337086912, 0.01103220343868309, 0.265670014797736, 0.16355665187595117, 0.0745984504410614, -0.33498353180562573, 0.11250773973536686, 0.05364336603251504] |
709.2521 | A Logical Analysis of the Time-Warp Effect of General Relativity | Several versions of the Gravitational Time Dilation effect of General
Relativity are formulated by the use of Einstein's Equivalence Principle. It is
shown that all of them are logical consequence of a first-order axiom system of
Special Relativity extended to accelerated observers.
| gr-qc math-ph math.LO math.MP | several versions of the gravitational time dilation effect of general relativity are formulated by the use of einsteins equivalence principle it is shown that all of them are logical consequence of a firstorder axiom system of special relativity extended to accelerated observers | [['several', 'versions', 'of', 'the', 'gravitational', 'time', 'dilation', 'effect', 'of', 'general', 'relativity', 'are', 'formulated', 'by', 'the', 'use', 'of', 'einsteins', 'equivalence', 'principle', 'it', 'is', 'shown', 'that', 'all', 'of', 'them', 'are', 'logical', 'consequence', 'of', 'a', 'firstorder', 'axiom', 'system', 'of', 'special', 'relativity', 'extended', 'to', 'accelerated', 'observers']] | [-0.1698911180470272, 0.09781360111775853, -0.09631156670816597, 0.15144260212851113, -0.12140603096313066, -0.15623197273262554, -0.04745089901345117, 0.30790712611217586, -0.28603792616299223, -0.2864538249337957, 0.07073101037669749, -0.18074681051629818, -0.11835404148414022, 0.21499671038916512, -0.08667339927827318, 0.07081433212650674, 0.046598910087985654, 0.06391161690754373, -0.092129977600139, -0.26001047826416435, 0.3525527378411165, 0.07230607446815286, 0.21184529621331466, -0.04295120109981369, 0.13951907611806832, 0.006122932076409814, -0.009035010112538225, 0.14256676676727476, -0.03882639967213479, 0.07023005353819047, 0.2516658884872283, 0.2420547879079268, 0.3187738048422727, -0.42382660423893304, -0.21119923188927628, 0.05780693937447809, 0.013777264608680048, 0.1875729047294174, -0.008150169315437475, -0.35232240835293416, -0.0028965978971904234, -0.21373390115886218, -0.15725630152571415, -0.05234449698279301, 0.05570129675435878, 0.00116889996986304, -0.18533075900216187, 0.06774713099002838, 0.14644283136086805, 0.019930634359341292, -0.06377255807941158, -0.012372077132264772, 0.033350316741104634, 0.0621318404030587, 0.13681577802968345, 0.0055484818738131296, 0.105765160974226, 0.0018082549352021445, -0.14811525236637818, 0.4895526976102874, -0.05123503206275581, -0.21639957403143248, 0.16647838217960226, -0.1473400601119335, -0.14797113254843725, 0.09188663526271869, 0.0739455469218748, 0.1680955353326031, -0.177975809445516, 0.10911455229368239, -0.04659232914092995, 0.12248602740111805, 0.15185970431637197, 0.06174602258224262, 0.23381101704823473, 0.03551856089117272, 0.03614726564791497, 0.11300845581683375, 0.051927874379630555, -0.14602624155980135, -0.428087636473633, -0.17855510272784159, -0.12123970771929071, 0.062235725799664146, -0.127418578181061, -0.13520806338402463, 0.2948077476051237, 0.14712676858263357, 0.008226082316555437, 0.11563050636045989, 0.23459407200460278, 0.10658451881248593, 0.05622656111206327, 0.022944766573519224, 0.35766188911206664, 0.20695639852367873, 0.07637394173070788, -0.18833813511411704, 0.030445365323906855, 0.15929610381967255] |
709.2522 | Activating Mg acceptors in AlN by oxygen: first principles calculations | First principles calculations based on density functional theory (DFT) are
performed to study the electronic properties of Mg acceptors in AlN at the
presence of oxygen. It is found that Mg and O tend to form complexes like Mg-O,
Mg$_2$-O, Mg$_3$-O and Mg$_4$-O which have activation energies about 0.23 eV
lower than that of Mg (except of the passive Mg-O). The lower activation
energies originate from the extra states over valence band top of AlN induced
by the passive Mg-O. By comparing to the well-established case of GaN, it is
possible to fabricate Mg and O codoped AlN without MgO precipitate. These
results suggest the possibility of achieving higher hole concentration in AlN
by Mg and O codoping.
| physics.comp-ph | first principles calculations based on density functional theory dft are performed to study the electronic properties of mg acceptors in aln at the presence of oxygen it is found that mg and o tend to form complexes like mgo mg_2o mg_3o and mg_4o which have activation energies about 023 ev lower than that of mg except of the passive mgo the lower activation energies originate from the extra states over valence band top of aln induced by the passive mgo by comparing to the wellestablished case of gan it is possible to fabricate mg and o codoped aln without mgo precipitate these results suggest the possibility of achieving higher hole concentration in aln by mg and o codoping | [['first', 'principles', 'calculations', 'based', 'on', 'density', 'functional', 'theory', 'dft', 'are', 'performed', 'to', 'study', 'the', 'electronic', 'properties', 'of', 'mg', 'acceptors', 'in', 'aln', 'at', 'the', 'presence', 'of', 'oxygen', 'it', 'is', 'found', 'that', 'mg', 'and', 'o', 'tend', 'to', 'form', 'complexes', 'like', 'mgo', 'mg_2o', 'mg_3o', 'and', 'mg_4o', 'which', 'have', 'activation', 'energies', 'about', '023', 'ev', 'lower', 'than', 'that', 'of', 'mg', 'except', 'of', 'the', 'passive', 'mgo', 'the', 'lower', 'activation', 'energies', 'originate', 'from', 'the', 'extra', 'states', 'over', 'valence', 'band', 'top', 'of', 'aln', 'induced', 'by', 'the', 'passive', 'mgo', 'by', 'comparing', 'to', 'the', 'wellestablished', 'case', 'of', 'gan', 'it', 'is', 'possible', 'to', 'fabricate', 'mg', 'and', 'o', 'codoped', 'aln', 'without', 'mgo', 'precipitate', 'these', 'results', 'suggest', 'the', 'possibility', 'of', 'achieving', 'higher', 'hole', 'concentration', 'in', 'aln', 'by', 'mg', 'and', 'o', 'codoping']] | [-0.00881692021680267, 0.128380353299334, 0.04948546453379095, 0.021726259791656682, 0.04527425553811633, -0.17860928850005503, 0.1299512486267106, 0.48426940277542757, -0.18088379728243403, -0.39142786081394426, -0.04792074241432483, -0.32852382139181313, -0.10050537536001723, 0.13711856463114205, 0.041504178609213106, -0.037717522317341164, -0.006616187974324693, -0.07117977992671987, -0.09572730124776212, -0.24498931461256807, 0.28493386706053886, 0.11175444416053917, 0.3114797263446709, 0.08416045622940621, -0.06636898963023787, -0.07263182637322207, 0.11490213760458257, 0.018753119776754274, -0.1544842202490975, 0.17640623071018363, 0.24977357673418263, -0.0425098452028697, 0.21963870703931088, -0.4985656404062984, -0.23439247404103694, -0.027531851572996896, 0.07834128281101585, 0.09548538483821017, -0.10405089879995617, -0.24203326831490773, 0.15105272283949686, -0.08005683725173382, -0.07842721252337746, -0.012189245264491309, -0.002676950836473185, -0.012129856891039273, -0.21994422560800678, 0.07729987379001535, 0.05450328604682632, 0.04644928633016483, -0.13933228062789726, -0.2513668917119503, -0.20941506250478004, 0.022408529699010693, 0.02156206691313697, -0.0033435164788818876, 0.23651694322723651, -0.030735086888560782, -0.08250880798972819, 0.3493119864198177, -0.10719117620091824, -0.0508755203263085, 0.17380230604751926, -0.14653499857320085, -0.06549337299783593, 0.1836689764512298, 0.10378444653166377, 0.16574607216348142, -0.10608990704235824, 0.12185256430555297, 0.043649808002595346, 0.20856499032157919, 0.12323195184783443, 0.07861794664969911, 0.15349614229863104, 0.14485844096330844, 0.05188237341404285, 0.06967483212482994, -0.12431730009089022, -0.006752666426599835, -0.1951864400068703, -0.22868873430011066, -0.1790428278238877, 0.11145184658791708, -0.11211684122631002, -0.1754077338816031, 0.30686345790998765, 0.056385641986423214, 0.17694874666631222, -0.05094185027638045, 0.1760113845700803, 0.06667043633111146, 0.08986130237943776, 0.035179299027051615, 0.26712410462939223, 0.20972869267241787, 0.11351977937713104, -0.2659294311584824, 0.12408296037870256, 0.024870357032784302] |
709.2523 | A Generalization of the Poincar\'e-Cartan Integral Invariant for a
Nonlinear Nonholonomic Dynamical System | Based on the d'Alembert-Lagrange-Poincar\'{e} variational principle, we
formulate general equations of motion for mechanical systems subject to
nonlinear nonholonomic constraints, that do not involve Lagrangian undetermined
multipliers. We write these equations in a canonical form called the
Poincar\'{e}-Hamilton equations, and study a version of corresponding
Poincar\'{e}-Cartan integral invariant which are derived by means of a type of
asynchronous variation of the Poincar\'{e} variables of the problem that
involve the variation of the time. As a consequence, it is shown that the
invariance of a certain line integral under the motion of a mechanical system
of the type considered characterizes the Poincar\'{e}-Hamilton equations as
underlying equations of the motion. As a special case, an invariant analogous
to Poincar\'{e} linear integral invariant is obtained.
| math-ph math.MP | based on the dalembertlagrangepoincare variational principle we formulate general equations of motion for mechanical systems subject to nonlinear nonholonomic constraints that do not involve lagrangian undetermined multipliers we write these equations in a canonical form called the poincarehamilton equations and study a version of corresponding poincarecartan integral invariant which are derived by means of a type of asynchronous variation of the poincare variables of the problem that involve the variation of the time as a consequence it is shown that the invariance of a certain line integral under the motion of a mechanical system of the type considered characterizes the poincarehamilton equations as underlying equations of the motion as a special case an invariant analogous to poincare linear integral invariant is obtained | [['based', 'on', 'the', 'dalembertlagrangepoincare', 'variational', 'principle', 'we', 'formulate', 'general', 'equations', 'of', 'motion', 'for', 'mechanical', 'systems', 'subject', 'to', 'nonlinear', 'nonholonomic', 'constraints', 'that', 'do', 'not', 'involve', 'lagrangian', 'undetermined', 'multipliers', 'we', 'write', 'these', 'equations', 'in', 'a', 'canonical', 'form', 'called', 'the', 'poincarehamilton', 'equations', 'and', 'study', 'a', 'version', 'of', 'corresponding', 'poincarecartan', 'integral', 'invariant', 'which', 'are', 'derived', 'by', 'means', 'of', 'a', 'type', 'of', 'asynchronous', 'variation', 'of', 'the', 'poincare', 'variables', 'of', 'the', 'problem', 'that', 'involve', 'the', 'variation', 'of', 'the', 'time', 'as', 'a', 'consequence', 'it', 'is', 'shown', 'that', 'the', 'invariance', 'of', 'a', 'certain', 'line', 'integral', 'under', 'the', 'motion', 'of', 'a', 'mechanical', 'system', 'of', 'the', 'type', 'considered', 'characterizes', 'the', 'poincarehamilton', 'equations', 'as', 'underlying', 'equations', 'of', 'the', 'motion', 'as', 'a', 'special', 'case', 'an', 'invariant', 'analogous', 'to', 'poincare', 'linear', 'integral', 'invariant', 'is', 'obtained']] | [-0.18856811833968035, 0.06254212573738553, -0.10894577614884793, 0.07786355330021817, -0.11639532231248352, -0.10466108163192618, -0.027089769599818382, 0.2691865040785672, -0.315100754540758, -0.25922427594098224, 0.12459095001921151, -0.18643746049409465, -0.1897294248665581, 0.20084213472593637, -0.07579521762066278, 0.09032305860657151, 0.04647698770707645, 0.08818872745477539, -0.11856232882680826, -0.19468394492385016, 0.35281443631886933, -0.01927198573336506, 0.22362780051321543, -0.03332424413328677, 0.22089255200464183, 0.05403836205906916, -0.012186493943719304, 0.06414065815649238, -0.1293280534729329, 0.13352552963667275, 0.1871929290673124, 0.07420399228596136, 0.24464666142183192, -0.4142232576087743, -0.19199468325256144, 0.08715319121647783, 0.1096866937127246, 0.0740668952862239, -0.0038314962401563503, -0.279772598544887, 0.04084185559188599, -0.12755668245475082, -0.1844598660910768, -0.08516551531898249, 0.022153948026732737, 0.06475724813825756, -0.2622368172898951, 0.10500919860161591, 0.11077060449492782, 0.048147174224507906, -0.12899444176533706, -0.05213852413585644, -0.019927560090588235, 0.07101776699746858, 0.049896699354882126, -0.00480082118296761, 0.1149477098066704, -0.1112371448959623, -0.10815224652530767, 0.4422782664226384, -0.0827319070935531, -0.30897652320250746, 0.13960515426769227, -0.07423493735386576, -0.1806590080539062, 0.12849755034324156, 0.15840941910170206, 0.17038776007864406, -0.2056656506679514, 0.11997675907968332, -0.09210760431254611, 0.10878024369227786, 0.05405352395732237, 0.03103898829406816, 0.13395431887421036, 0.07050785503718031, 0.1082655894550487, 0.14334691794781884, -0.018653747639344895, -0.1518238411840646, -0.3828593033577214, -0.18965989000657024, -0.1420574473127128, 0.1171937426572965, -0.05086859290871061, -0.18356822610773077, 0.3590799590412277, 0.0830410005438666, 0.16233985487199507, 0.06545594492594578, 0.2187828257867769, 0.2115954693080075, 0.07951915005863715, 0.03340380116827598, 0.22713565723109647, 0.17772636603477934, 0.0963092017488382, -0.23527380844437273, 0.01571678983423264, 0.16338520608998897] |
709.2524 | Cheon's anholonomies in Floquet operators | Anholonomies in the parametric dependences of the eigenvalues and the
eigenvectors of Floquet operators that describe unit time evolutions of
periodically driven systems, e.g., kicked rotors, are studied. First, an
example of the anholonomies induced by a periodically pulsed rank-1
perturbation is given. As a function of the strength of the perturbation, the
perturbed Floquet operator of the quantum map and its spectrum are shown to
have a period. However, we show examples where each eigenvalue does not obey
the periodicity of the perturbed Floquet operator and exhibits an anholonomy.
Furthermore, this induces another anholonomy in the eigenspaces, i.e., the
directions of the eigenvectors, of the Floquet operator. These two anholonomies
are previously observed in a family of Hamiltonians [T. Cheon, Phys. Lett. A
248, 285 (1998)] and are different from the phase anholonomy known as geometric
phases. Second, the stability of Cheon's anholonomies in periodically driven
systems is established by a geometrical analysis of the family of Floquet
operators. Accordingly, Cheon's anholonomies are expected to be abundant in
systems whose time evolutions are described by Floquet operators. As an
application, a design principle for quantum state manipulations along adiabatic
passages is explained.
| quant-ph | anholonomies in the parametric dependences of the eigenvalues and the eigenvectors of floquet operators that describe unit time evolutions of periodically driven systems eg kicked rotors are studied first an example of the anholonomies induced by a periodically pulsed rank1 perturbation is given as a function of the strength of the perturbation the perturbed floquet operator of the quantum map and its spectrum are shown to have a period however we show examples where each eigenvalue does not obey the periodicity of the perturbed floquet operator and exhibits an anholonomy furthermore this induces another anholonomy in the eigenspaces ie the directions of the eigenvectors of the floquet operator these two anholonomies are previously observed in a family of hamiltonians t cheon phys lett a 248 285 1998 and are different from the phase anholonomy known as geometric phases second the stability of cheons anholonomies in periodically driven systems is established by a geometrical analysis of the family of floquet operators accordingly cheons anholonomies are expected to be abundant in systems whose time evolutions are described by floquet operators as an application a design principle for quantum state manipulations along adiabatic passages is explained | [['anholonomies', 'in', 'the', 'parametric', 'dependences', 'of', 'the', 'eigenvalues', 'and', 'the', 'eigenvectors', 'of', 'floquet', 'operators', 'that', 'describe', 'unit', 'time', 'evolutions', 'of', 'periodically', 'driven', 'systems', 'eg', 'kicked', 'rotors', 'are', 'studied', 'first', 'an', 'example', 'of', 'the', 'anholonomies', 'induced', 'by', 'a', 'periodically', 'pulsed', 'rank1', 'perturbation', 'is', 'given', 'as', 'a', 'function', 'of', 'the', 'strength', 'of', 'the', 'perturbation', 'the', 'perturbed', 'floquet', 'operator', 'of', 'the', 'quantum', 'map', 'and', 'its', 'spectrum', 'are', 'shown', 'to', 'have', 'a', 'period', 'however', 'we', 'show', 'examples', 'where', 'each', 'eigenvalue', 'does', 'not', 'obey', 'the', 'periodicity', 'of', 'the', 'perturbed', 'floquet', 'operator', 'and', 'exhibits', 'an', 'anholonomy', 'furthermore', 'this', 'induces', 'another', 'anholonomy', 'in', 'the', 'eigenspaces', 'ie', 'the', 'directions', 'of', 'the', 'eigenvectors', 'of', 'the', 'floquet', 'operator', 'these', 'two', 'anholonomies', 'are', 'previously', 'observed', 'in', 'a', 'family', 'of', 'hamiltonians', 't', 'cheon', 'phys', 'lett', 'a', '248', '285', '1998', 'and', 'are', 'different', 'from', 'the', 'phase', 'anholonomy', 'known', 'as', 'geometric', 'phases', 'second', 'the', 'stability', 'of', 'cheons', 'anholonomies', 'in', 'periodically', 'driven', 'systems', 'is', 'established', 'by', 'a', 'geometrical', 'analysis', 'of', 'the', 'family', 'of', 'floquet', 'operators', 'accordingly', 'cheons', 'anholonomies', 'are', 'expected', 'to', 'be', 'abundant', 'in', 'systems', 'whose', 'time', 'evolutions', 'are', 'described', 'by', 'floquet', 'operators', 'as', 'an', 'application', 'a', 'design', 'principle', 'for', 'quantum', 'state', 'manipulations', 'along', 'adiabatic', 'passages', 'is', 'explained']] | [-0.20597111921784, 0.2028710708269274, -0.059653042608128926, 0.004897650864477139, -0.008468036174320572, -0.12047538521260487, 0.023107711361465406, 0.34445691202318424, -0.28105781986643535, -0.2431496095631291, 0.1056336620454604, -0.28937003487441204, -0.19244839778469172, 0.208729806981035, -0.045291524900996895, 0.08011851974110326, 0.026013100717622074, 0.051638823863929574, -0.10115978978887934, -0.17370747048600813, 0.32004863103861325, 0.011395755932072824, 0.21610620357289215, -0.019927098564779474, 0.06128729253384849, -0.012977544375130705, 0.029689902337623877, -0.0389963272148309, -0.09122480264126107, 0.06251150992013746, 0.21706496035303785, 0.038133852415443086, 0.23828141928838634, -0.4027535763130055, -0.17890247773050952, 0.10106368645135352, 0.14538761636221462, 0.09716448837295874, -0.019399681203356833, -0.3287719324704047, 0.021525341329777643, -0.1585712621683361, -0.1605020835488996, -0.11123731476134123, 0.05461119463271582, 0.031657084210418705, -0.2549016362820979, 0.0969260189841487, 0.10663934394722042, 0.07104871426033425, -0.07023284479992589, -0.051747103931667, -0.07786960707050918, 0.08715013470838492, 0.0012429769988137977, -0.025338371375990654, 0.10991043776727324, -0.04325585490107112, -0.16649481242430914, 0.37015561979665745, -0.06217126805489699, -0.17728151529641348, 0.12606392696335758, -0.13349033089861614, -0.10060813083733225, 0.094006253449835, 0.11035998067167138, 0.12981296154438793, -0.14683246326155072, 0.12153294555475082, -0.029008031899949122, 0.1284142296189452, 0.06779204006306827, 0.049111995770031384, 0.19678989757899523, 0.07169533952699077, 0.0674875036118446, 0.1458268710113884, -0.021236939348492752, -0.14666900218227985, -0.2870477965979842, -0.11797082221975135, -0.2455573823011041, 0.062260331156005516, -0.04719662095915883, -0.19866186334348013, 0.47745205429165477, 0.08901036761814507, 0.22752804324088782, -0.020535029730291487, 0.19992121699666654, 0.22537174021132733, 0.02441854961314468, 0.07334115455371033, 0.24610635395393432, 0.1733379244485899, 0.08956574541492475, -0.23666170668692346, 0.0009396920207443942, 0.09017165262647783] |
709.2525 | H-Decompositions | We show that for all graphs H of size n, the complete graph $K_{2n+1}$ has an
$H$-decomposition.
| cs.DM | we show that for all graphs h of size n the complete graph k_2n1 has an hdecomposition | [['we', 'show', 'that', 'for', 'all', 'graphs', 'h', 'of', 'size', 'n', 'the', 'complete', 'graph', 'k_2n1', 'has', 'an', 'hdecomposition']] | [-0.15527572992312558, 0.11219245050982435, -0.0029526535859879326, -0.029071245835546183, -0.051931888166376776, -0.0626780676710255, -0.04087505884030286, 0.4377082831719342, -0.202456185265499, -0.27741037780309424, 0.05964360799749985, -0.3176422557410072, -0.10349446558393538, 0.14313988908029654, -0.06878646364545121, 0.0007801656611263752, 0.11920706226545222, 0.159948774449089, 0.05445916754851008, -0.30021186269689626, 0.27487762188812825, -0.05445308260181371, 0.13544158560826497, 0.09270906977026779, 0.06220776259022601, 0.061637519434203994, 0.02507685190614532, 0.11507831229006543, -0.2190853304333252, 0.010984095361302881, 0.20469734872526982, 0.21868667926858454, 0.2335304591585608, -0.35885194557554584, -0.16120687636601574, 0.24140443472082124, 0.12837709552224943, 0.07212556328843622, 0.013330444912700093, -0.17591833110953517, 0.18446816756006548, -0.09867160241393481, -0.06005456534159534, -0.029839963597409865, 0.20877120008363442, -0.042757128159899044, -0.3054606698672561, -0.0964833566069822, 0.16008731492740266, 0.040654663818285745, 0.08897326064898688, -0.19259690531693838, -0.07854783225475866, 0.1580542768625652, -0.1465147612068583, 0.024799234151621077, -0.02872595823753406, -0.09982952453634318, -0.1778472296154017, 0.3276875755366157, -0.06116035345065243, -0.09943305635276962, 0.07681188743342371, -0.1449589917764944, -0.24332372088204413, 0.15181025468251286, 0.11503250261439997, 0.15505153400933042, -0.06350787515368532, 0.2363688958918347, -0.20007623425301382, 0.18654920357991667, 0.0630979235010112, -0.0013598735334680362, 0.015404377790058361, 0.15904974444385836, 0.18075195212355433, 0.18003532465766459, -0.0033294142169110917, 0.0781381263068932, -0.29962501543409686, -0.1747526039424188, -0.24374005571692525, 0.08736519712735624, -0.24693097609697895, -0.22286190728054328, 0.35718732590184493, 0.08238114241291494, 0.24296834045911536, 0.14244930035270312, 0.14820672977058327, 0.04621732322608724, 0.047650235301048005, 0.22770457840798533, 0.09703707670354668, 0.1392438398564563, -0.06139048068400692, -0.18176674716832006, 0.006432330633020576, 0.08320306394906606] |
709.2526 | Many body generalization of the Landau Zener problem | We formulate and approximately solve a specific many-body generalization of
the Landau-Zener problem. Unlike with the single particle Landau-Zener problem,
our system does not abide in the adiabatic ground state, even at very slow
driving rates. The structure of the theory suggests that this finding reflects
a more general phenomenon in the physics of adiabatically driven many particle
systems. Our solution can be used to understand, for example, the behavior of
two-level systems coupled to an electromagnetic field, as realized in cavity
QED experiments.
| cond-mat.mes-hall | we formulate and approximately solve a specific manybody generalization of the landauzener problem unlike with the single particle landauzener problem our system does not abide in the adiabatic ground state even at very slow driving rates the structure of the theory suggests that this finding reflects a more general phenomenon in the physics of adiabatically driven many particle systems our solution can be used to understand for example the behavior of twolevel systems coupled to an electromagnetic field as realized in cavity qed experiments | [['we', 'formulate', 'and', 'approximately', 'solve', 'a', 'specific', 'manybody', 'generalization', 'of', 'the', 'landauzener', 'problem', 'unlike', 'with', 'the', 'single', 'particle', 'landauzener', 'problem', 'our', 'system', 'does', 'not', 'abide', 'in', 'the', 'adiabatic', 'ground', 'state', 'even', 'at', 'very', 'slow', 'driving', 'rates', 'the', 'structure', 'of', 'the', 'theory', 'suggests', 'that', 'this', 'finding', 'reflects', 'a', 'more', 'general', 'phenomenon', 'in', 'the', 'physics', 'of', 'adiabatically', 'driven', 'many', 'particle', 'systems', 'our', 'solution', 'can', 'be', 'used', 'to', 'understand', 'for', 'example', 'the', 'behavior', 'of', 'twolevel', 'systems', 'coupled', 'to', 'an', 'electromagnetic', 'field', 'as', 'realized', 'in', 'cavity', 'qed', 'experiments']] | [-0.13259329671979816, 0.13982842475542429, -0.06519296865666374, 0.07456946811344962, -0.021761510482714845, -0.17551192480494224, 0.028541430329260903, 0.3221345816494986, -0.288793837629436, -0.3148912138200276, 0.0433072388086224, -0.22923999471545575, -0.15966690268500575, 0.25045200145991875, -0.033207669200020884, 0.06377293403437805, 0.06798189995987784, 0.04747821238318769, -0.03759419126436114, -0.17937883164545165, 0.2947297574719414, 0.06073112164276175, 0.26724417718304766, 0.03265310419235556, 0.07431433331553958, 0.014201851730744931, 0.08823773606369893, 0.011892434253933885, -0.05633255437758288, 0.055306806248457484, 0.27650317332396906, 0.08565053065207653, 0.2821107593037942, -0.4718629154154942, -0.2195585222160887, 0.10417010870739996, 0.18163297477266974, 0.19816751016436943, -0.05060088174737064, -0.27923544861343025, -0.020842278076867973, -0.16991014088991852, -0.16756876749873517, -0.07408045061276339, -0.05352835144731216, -0.029825140586278092, -0.2560605079058968, 0.05906509328356367, 0.06980180278852847, 0.0036087838187605875, -0.07275361990156982, -0.0060545258207379705, 0.06822555080898815, 0.1020089769070702, 0.020449002861000952, 0.03174094827513078, 0.15324565855276195, -0.1672443418480855, -0.15001711566999024, 0.43119251604990233, -0.08624802025068286, -0.20861351108673953, 0.2299374098268648, -0.13619725476019084, -0.11952847032807767, 0.12106154012005954, 0.14433035751045237, 0.13029117701530812, -0.15307995551778558, 0.06252826170350004, -0.03467390651903337, 0.20944078485037954, 0.011187049668348794, 0.02649297588851325, 0.22224029039387547, 0.18853665517166346, 0.048948783715050445, 0.15302027942518526, -0.021061211439137834, -0.18281963644992738, -0.2643354030082091, -0.11654109283838243, -0.19781805840986116, 0.07296807211951957, -0.02509976850199434, -0.1756172806019008, 0.39658165468080414, 0.17432862032676763, 0.1700011804655549, -0.015026065936711217, 0.244619196724324, 0.18587610824172207, 0.025339385658818565, 0.05894398090978419, 0.2703277658549182, 0.12985326714780449, 0.11499577031160395, -0.3106386663649963, 0.011849396512843668, 0.0285351637174331] |
709.2527 | Formation Process of a Light Bridge Revealed with the Hinode Solar
Optical Telescope | The Solar Optical Telescope (SOT) aboard HINODE successfully and continuously
observed a formation process of a light bridge in a matured sunspot of the NOAA
active region 10923 for several days with high spatial resolution. During its
formation, many umbral dots were observed emerging from the leading edges of
penumbral filaments, and intruding into the umbra rapidly. The precursor of the
light bridge formation was also identified as the relatively slow inward motion
of the umbral dots which emerged not near the penumbra, but inside the umbra.
The spectro-polarimeter on SOT provided physical conditions in the photosphere
around the umbral dots and the light bridges. We found the light bridges and
the umbral dots had significantly weaker magnetic fields associated with
upflows relative to the core of the umbra, which implies that there was hot gas
with weak field strength penetrating from subphotosphere to near the visible
surface inside those structures. There needs to be a mechanism to drive the
inward motion of the hot gas along the light bridges. We suggest that the
emergence and the inward motion are triggered by a buoyant penumbral flux tube
as well as the subphotospheric flow crossing the sunspot.
| astro-ph | the solar optical telescope sot aboard hinode successfully and continuously observed a formation process of a light bridge in a matured sunspot of the noaa active region 10923 for several days with high spatial resolution during its formation many umbral dots were observed emerging from the leading edges of penumbral filaments and intruding into the umbra rapidly the precursor of the light bridge formation was also identified as the relatively slow inward motion of the umbral dots which emerged not near the penumbra but inside the umbra the spectropolarimeter on sot provided physical conditions in the photosphere around the umbral dots and the light bridges we found the light bridges and the umbral dots had significantly weaker magnetic fields associated with upflows relative to the core of the umbra which implies that there was hot gas with weak field strength penetrating from subphotosphere to near the visible surface inside those structures there needs to be a mechanism to drive the inward motion of the hot gas along the light bridges we suggest that the emergence and the inward motion are triggered by a buoyant penumbral flux tube as well as the subphotospheric flow crossing the sunspot | [['the', 'solar', 'optical', 'telescope', 'sot', 'aboard', 'hinode', 'successfully', 'and', 'continuously', 'observed', 'a', 'formation', 'process', 'of', 'a', 'light', 'bridge', 'in', 'a', 'matured', 'sunspot', 'of', 'the', 'noaa', 'active', 'region', '10923', 'for', 'several', 'days', 'with', 'high', 'spatial', 'resolution', 'during', 'its', 'formation', 'many', 'umbral', 'dots', 'were', 'observed', 'emerging', 'from', 'the', 'leading', 'edges', 'of', 'penumbral', 'filaments', 'and', 'intruding', 'into', 'the', 'umbra', 'rapidly', 'the', 'precursor', 'of', 'the', 'light', 'bridge', 'formation', 'was', 'also', 'identified', 'as', 'the', 'relatively', 'slow', 'inward', 'motion', 'of', 'the', 'umbral', 'dots', 'which', 'emerged', 'not', 'near', 'the', 'penumbra', 'but', 'inside', 'the', 'umbra', 'the', 'spectropolarimeter', 'on', 'sot', 'provided', 'physical', 'conditions', 'in', 'the', 'photosphere', 'around', 'the', 'umbral', 'dots', 'and', 'the', 'light', 'bridges', 'we', 'found', 'the', 'light', 'bridges', 'and', 'the', 'umbral', 'dots', 'had', 'significantly', 'weaker', 'magnetic', 'fields', 'associated', 'with', 'upflows', 'relative', 'to', 'the', 'core', 'of', 'the', 'umbra', 'which', 'implies', 'that', 'there', 'was', 'hot', 'gas', 'with', 'weak', 'field', 'strength', 'penetrating', 'from', 'subphotosphere', 'to', 'near', 'the', 'visible', 'surface', 'inside', 'those', 'structures', 'there', 'needs', 'to', 'be', 'a', 'mechanism', 'to', 'drive', 'the', 'inward', 'motion', 'of', 'the', 'hot', 'gas', 'along', 'the', 'light', 'bridges', 'we', 'suggest', 'that', 'the', 'emergence', 'and', 'the', 'inward', 'motion', 'are', 'triggered', 'by', 'a', 'buoyant', 'penumbral', 'flux', 'tube', 'as', 'well', 'as', 'the', 'subphotospheric', 'flow', 'crossing', 'the', 'sunspot']] | [-0.11440974990635332, 0.2386676248885235, -0.04426194327926187, 0.08244740396976712, -0.07866906672027152, -0.06901473181167195, 0.014449903931544751, 0.4368778416145669, -0.2623343316039869, -0.35367353611663743, 0.0957024786395629, -0.2626553648341523, -0.12354245820386829, 0.21593295278179706, -0.04008775279154569, -0.022454080260976464, 0.0776854183201735, -0.019552129845244647, 0.03762139607819596, -0.13827645209646422, 0.2265035682619188, 0.05849341335421314, 0.2285310219229693, 0.03827984594295695, 0.03718691698883717, -0.12178005169145614, 0.0006596437911978181, 0.020466126634606292, -0.10953944177898087, 0.08200491358150672, 0.15109825179655562, 0.038017229418797725, 0.24604242049960648, -0.5351031621138812, -0.2308029894365416, -0.0001696038282029711, 0.2191614876382471, -0.011246869980526271, -0.05674778475314474, -0.33096247578244087, 0.032772852132531664, -0.0551690958934475, -0.1460950997900408, 0.10902395424889211, 0.04718800679405163, 0.03241591844280079, -0.2136589352977557, 0.046964172666924486, 0.024933724909047036, 0.10803271952377423, -0.07056833678507246, -0.03490604935641572, -0.10476226575508694, 0.1270400533091505, 0.10737036133754632, 0.05519701575157138, 0.22628334279579576, -0.13252214818351846, -0.03487447829090287, 0.3341746582692413, -0.055646496289172113, 0.02447301331593902, 0.16169959540973056, -0.2399276080862049, -0.07634547900893174, 0.22368638107181307, 0.12381176186288345, 0.07184758548576109, -0.06348424051619225, -0.0056410844272064345, -0.0690105830114905, 0.11174615342360066, 0.10504412256912994, 0.023510012533325627, 0.3289811048580676, 0.11110463591140447, 0.06765988487380555, 0.12998498867120956, -0.2772958104166663, -0.11582110718139732, -0.25915545453697597, -0.1640605580504765, -0.09561436957138002, 0.025464394013471642, -0.06433160401301931, -0.18896965272914695, 0.40419666240542973, 0.10689386998170189, 0.2169941759315481, -0.0496576561851484, 0.28182121993954845, 0.07853984271564607, 0.16954394764913133, 0.15118007388973267, 0.3083996463267665, 0.2288874579945161, 0.216108503238279, -0.2442676903732235, 0.03347781425513023, 0.026847518431094036] |
709.2528 | Confinement Induced Polarization effects in Valence and Inner-shell
Spectra of Atactic Polystyrene | Vacuum ultraviolet (VUV) transmission spectra show a clear polarization
effect in pi electronic transition in spin coated atactic polystyrene (aPS)
films of thickness below 4Rg, where Rg (~20.4nm) is the radius of gyration of
the polymer. This transition associated with pendant benzene rings in
polystyrene. The polarization effect clearly indicates pendant benzene ring
alignment on a macroscopic scale. Study of core electron (1s) transition
through near edge x-ray absorption fine structure (NEXAFS) spectroscopy
confirms the ordering and shows that the rings are oriented towards
out-of-plane direction with a tilt angle ~63 degree with the sample plane,
which is consistent with the observed in-plane (sample surface) VUV
polarization. These results indicate the transition of a common polymer, like
polystyrene, inherently disordered in the bulk, to an orientationally ordered
phase under a certain degree of confinement.
| cond-mat.soft cond-mat.mtrl-sci | vacuum ultraviolet vuv transmission spectra show a clear polarization effect in pi electronic transition in spin coated atactic polystyrene aps films of thickness below 4rg where rg 204nm is the radius of gyration of the polymer this transition associated with pendant benzene rings in polystyrene the polarization effect clearly indicates pendant benzene ring alignment on a macroscopic scale study of core electron 1s transition through near edge xray absorption fine structure nexafs spectroscopy confirms the ordering and shows that the rings are oriented towards outofplane direction with a tilt angle 63 degree with the sample plane which is consistent with the observed inplane sample surface vuv polarization these results indicate the transition of a common polymer like polystyrene inherently disordered in the bulk to an orientationally ordered phase under a certain degree of confinement | [['vacuum', 'ultraviolet', 'vuv', 'transmission', 'spectra', 'show', 'a', 'clear', 'polarization', 'effect', 'in', 'pi', 'electronic', 'transition', 'in', 'spin', 'coated', 'atactic', 'polystyrene', 'aps', 'films', 'of', 'thickness', 'below', '4rg', 'where', 'rg', '204nm', 'is', 'the', 'radius', 'of', 'gyration', 'of', 'the', 'polymer', 'this', 'transition', 'associated', 'with', 'pendant', 'benzene', 'rings', 'in', 'polystyrene', 'the', 'polarization', 'effect', 'clearly', 'indicates', 'pendant', 'benzene', 'ring', 'alignment', 'on', 'a', 'macroscopic', 'scale', 'study', 'of', 'core', 'electron', '1s', 'transition', 'through', 'near', 'edge', 'xray', 'absorption', 'fine', 'structure', 'nexafs', 'spectroscopy', 'confirms', 'the', 'ordering', 'and', 'shows', 'that', 'the', 'rings', 'are', 'oriented', 'towards', 'outofplane', 'direction', 'with', 'a', 'tilt', 'angle', '63', 'degree', 'with', 'the', 'sample', 'plane', 'which', 'is', 'consistent', 'with', 'the', 'observed', 'inplane', 'sample', 'surface', 'vuv', 'polarization', 'these', 'results', 'indicate', 'the', 'transition', 'of', 'a', 'common', 'polymer', 'like', 'polystyrene', 'inherently', 'disordered', 'in', 'the', 'bulk', 'to', 'an', 'orientationally', 'ordered', 'phase', 'under', 'a', 'certain', 'degree', 'of', 'confinement']] | [-0.17299942659552803, 0.21780976331645047, -0.055890165996088675, -0.07555828207070149, -0.000609746220465185, -0.1449788388898455, 0.006889657656288226, 0.4859293072491489, -0.2732830150421113, -0.272156465375288, -0.005075384957969866, -0.33974882917633903, -0.08761547865861123, 0.09694847643064956, 0.03974239404580217, 0.006173481732592777, -0.002657076551148555, -0.03520969499720994, -0.051949120033179606, -0.10810706182383001, 0.25357122552073136, 0.05756641419562088, 0.3181001504911392, 0.090075346004045, 0.023214270865234237, 0.021852882857660228, 0.07590856610190574, 0.054996526228602634, -0.1741258497017539, 0.04770083489468865, 0.23304085917841416, -0.1176156494590087, 0.1303762361234421, -0.41890449675140023, -0.17139751524100025, 0.008092863640437523, 0.12160930585708808, 0.08423102426494358, -0.06355564430211388, -0.24180421353120243, 0.04476734041236341, -0.08280239304528522, -0.17810764333063905, 0.007618096166741893, 0.01848394447182672, 0.007675303229144915, -0.22899227831944838, 0.09938671499152076, 0.028394046200749774, 0.13454988664439457, -0.07872080549273189, -0.1271524062119142, -0.1174184438123396, 0.0008195396759688402, 0.028487060226104928, 0.04395715958989141, 0.2445637617175552, -0.09613883729925322, -0.07651605715209646, 0.3647566361945461, -0.057024868243112876, -0.04971739134723038, 0.1328718497234425, -0.2527735972297237, -0.05815978682684628, 0.27619004754391924, 0.08392529000499935, 0.146555146927395, -0.07792814374084683, 0.008285509928210751, -0.06782924561235687, 0.2635941914385044, 0.12994690474729534, 0.059923278337175194, 0.2698915853503753, 0.19648700028262805, 0.03292428689085434, 0.18768321536172702, -0.15871948534561053, -0.026150388318593756, -0.21448010062290865, -0.17997101493264464, -0.18820111236312764, 0.08752459813629022, -0.1261112148745407, -0.19709858349453885, 0.3705499017131374, 0.07738158016493826, 0.19019487476025737, -0.010178957717443787, 0.24503772081031153, 0.00389252202391314, 0.0645699547850668, -0.0036597515202381396, 0.2741938949012282, 0.19194443185221066, 0.0990240757043163, -0.3167636136270382, 0.07916326773049535, 0.0007847766462487705] |
709.2529 | A New Family of Somos-like Recurrences | We exhibit a three parameter infinite family of quadratic recurrence
relations inspired by the well known Somos sequences. For one infinite
subfamily we prove that the recurrence generates an infinite sequence of
integers by showing that the same sequence is generated by a linear recurrence
(with suitable initial conditions). We also give conjectured relations among
the three parameters so that the quadratic recurrences generate sequences of
integers.
| math.CO | we exhibit a three parameter infinite family of quadratic recurrence relations inspired by the well known somos sequences for one infinite subfamily we prove that the recurrence generates an infinite sequence of integers by showing that the same sequence is generated by a linear recurrence with suitable initial conditions we also give conjectured relations among the three parameters so that the quadratic recurrences generate sequences of integers | [['we', 'exhibit', 'a', 'three', 'parameter', 'infinite', 'family', 'of', 'quadratic', 'recurrence', 'relations', 'inspired', 'by', 'the', 'well', 'known', 'somos', 'sequences', 'for', 'one', 'infinite', 'subfamily', 'we', 'prove', 'that', 'the', 'recurrence', 'generates', 'an', 'infinite', 'sequence', 'of', 'integers', 'by', 'showing', 'that', 'the', 'same', 'sequence', 'is', 'generated', 'by', 'a', 'linear', 'recurrence', 'with', 'suitable', 'initial', 'conditions', 'we', 'also', 'give', 'conjectured', 'relations', 'among', 'the', 'three', 'parameters', 'so', 'that', 'the', 'quadratic', 'recurrences', 'generate', 'sequences', 'of', 'integers']] | [-0.22105531261038425, 0.18947355625234413, -0.09104875458487824, 0.13056846622745993, -0.06895283840026763, -0.14417374612235312, -0.011960523776404226, 0.31750891168615714, -0.3444675323900892, -0.2500582414943336, 0.08925964312850317, -0.2631885157759065, -0.2314166943612161, 0.25431572387356366, -0.0271082252312674, 0.06667375577433007, 0.0728172076963333, 0.09119790697942919, -0.06038536756549642, -0.33478625891591185, 0.3529391833650532, -0.08867295973225316, 0.18237614372411548, -0.07425711643117577, 0.1795036592173265, 0.0056794431467137455, -0.01301586514672459, -0.0008518810370075169, -0.1753074792959795, 0.07679387226478378, 0.22227659821510315, 0.14528489011034035, 0.2588835231848617, -0.3607317380773932, -0.1445375213385629, 0.17346657733537202, 0.1573975642573144, 0.0777732195443849, -0.07573875614247326, -0.21457879400964994, 0.12068279525751609, -0.13423353444903033, -0.15800908884144763, -0.0822417415094687, 0.08452356265468607, 0.12271514214460613, -0.3330723393513863, 0.03668589790919865, 0.1527093027999847, 0.09415025143091803, -0.05070980787694232, -0.11347018500595395, -0.010774888921834862, 0.11454708735222247, 0.028733305184782218, -0.0579395039639533, -0.03863071379905094, -0.029120453371867926, -0.14692336106811887, 0.2965601337821668, -0.07531317947571402, -0.22120053321123123, 0.12797482925077983, -0.13232337998281887, -0.20367740783770916, 0.09653354779149947, 0.03921811399397565, 0.11038956652159121, -0.13295089686984446, 0.08290697250570823, -0.1250422277918725, 0.1662638663772994, 0.16604924525843182, 0.035991424694657326, 0.17916419572864117, 0.03468842915634611, 0.047131204769126515, 0.21993271378911475, 0.049675430921809885, -0.07028168392603967, -0.2887682550962069, -0.10462635965434028, -0.17364784469132993, 0.07681784451827962, -0.15176203075810266, -0.2123982661834626, 0.3805448854925917, 0.09395417058145378, 0.2391352970709107, 0.18196012607233517, 0.16464708022662064, 0.14821989770367075, 0.07949652382061441, 0.047924512601110025, 0.10282590384803601, 0.1038214435432551, -0.02602044821007928, -0.178817495529943, 0.04723718889585849, 0.2042718714853721] |
709.253 | Three-boson problem at low energy and Implications for dilute
Bose-Einstein condensates | It is shown that the effective interaction strength of three bosons at small
collision energies can be extracted from their wave function at zero energy. An
asymptotic expansion of this wave function at large interparticle distances is
derived, from which is defined a quantity $D$ named three-body scattering
hypervolume, which is an analog of the two-body scattering length. Given any
finite-range interaction potentials, one can thus predict the effective
three-body force from a numerical solution of the Schr\"{o}dinger equation. In
this way the constant $D$ for hard-sphere bosons is computed, leading to the
complete result for the ground state energy per particle of a dilute
Bose-Einstein condensate (BEC) of hard spheres to order $\rho^2$, where $\rho$
is the number density. Effects of $D$ are also demonstrated in the three-body
energy in a finite box of size $L$, which is expanded to the order $L^{-7}$,
and in the three-body scattering amplitude in vacuum. Another key prediction is
that there is a violation of the effective field theory (EFT) in the condensate
fraction in dilute BECs, caused by short-range physics. EFT predictions for the
ground state energy and few-body scattering amplitudes, however, are
corroborated.
| cond-mat.stat-mech hep-lat nucl-th | it is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy an asymptotic expansion of this wave function at large interparticle distances is derived from which is defined a quantity d named threebody scattering hypervolume which is an analog of the twobody scattering length given any finiterange interaction potentials one can thus predict the effective threebody force from a numerical solution of the schrodinger equation in this way the constant d for hardsphere bosons is computed leading to the complete result for the ground state energy per particle of a dilute boseeinstein condensate bec of hard spheres to order rho2 where rho is the number density effects of d are also demonstrated in the threebody energy in a finite box of size l which is expanded to the order l7 and in the threebody scattering amplitude in vacuum another key prediction is that there is a violation of the effective field theory eft in the condensate fraction in dilute becs caused by shortrange physics eft predictions for the ground state energy and fewbody scattering amplitudes however are corroborated | [['it', 'is', 'shown', 'that', 'the', 'effective', 'interaction', 'strength', 'of', 'three', 'bosons', 'at', 'small', 'collision', 'energies', 'can', 'be', 'extracted', 'from', 'their', 'wave', 'function', 'at', 'zero', 'energy', 'an', 'asymptotic', 'expansion', 'of', 'this', 'wave', 'function', 'at', 'large', 'interparticle', 'distances', 'is', 'derived', 'from', 'which', 'is', 'defined', 'a', 'quantity', 'd', 'named', 'threebody', 'scattering', 'hypervolume', 'which', 'is', 'an', 'analog', 'of', 'the', 'twobody', 'scattering', 'length', 'given', 'any', 'finiterange', 'interaction', 'potentials', 'one', 'can', 'thus', 'predict', 'the', 'effective', 'threebody', 'force', 'from', 'a', 'numerical', 'solution', 'of', 'the', 'schrodinger', 'equation', 'in', 'this', 'way', 'the', 'constant', 'd', 'for', 'hardsphere', 'bosons', 'is', 'computed', 'leading', 'to', 'the', 'complete', 'result', 'for', 'the', 'ground', 'state', 'energy', 'per', 'particle', 'of', 'a', 'dilute', 'boseeinstein', 'condensate', 'bec', 'of', 'hard', 'spheres', 'to', 'order', 'rho2', 'where', 'rho', 'is', 'the', 'number', 'density', 'effects', 'of', 'd', 'are', 'also', 'demonstrated', 'in', 'the', 'threebody', 'energy', 'in', 'a', 'finite', 'box', 'of', 'size', 'l', 'which', 'is', 'expanded', 'to', 'the', 'order', 'l7', 'and', 'in', 'the', 'threebody', 'scattering', 'amplitude', 'in', 'vacuum', 'another', 'key', 'prediction', 'is', 'that', 'there', 'is', 'a', 'violation', 'of', 'the', 'effective', 'field', 'theory', 'eft', 'in', 'the', 'condensate', 'fraction', 'in', 'dilute', 'becs', 'caused', 'by', 'shortrange', 'physics', 'eft', 'predictions', 'for', 'the', 'ground', 'state', 'energy', 'and', 'fewbody', 'scattering', 'amplitudes', 'however', 'are', 'corroborated']] | [-0.15638302754632605, 0.2195061973581384, -0.10445046983538002, 0.08849538151055943, 0.0035821433242138787, -0.12406778754120751, -0.0057285009297629585, 0.28676712385761977, -0.25305857899123413, -0.2649281168160087, -0.01737800208441816, -0.31132724896694225, -0.0689284660196184, 0.12142706897733054, 0.08970428030200613, 0.08782213743749405, 0.0416739554554321, 0.09631593153123201, -0.043275397486771304, -0.2221205464011291, 0.3272464201836556, 0.038986045391842104, 0.19988880308907633, 0.14008740990023702, 0.04842409140110249, 0.046863083158010944, 0.04867599355444933, 0.0013478986099168349, -0.1476367416936076, 0.06087509354983922, 0.23879418136069339, 0.015317397880911207, 0.21895987762642713, -0.3889594918097525, -0.19468312732715276, 0.10584485392367544, 0.19009502141610332, 0.17693642130385948, -0.015455515458597802, -0.2995983278269705, 0.003641381934964253, -0.1986994563570382, -0.18766939769799743, -0.07637622003918902, 0.10272949943525116, 0.008367554934011423, -0.31842427026034176, 0.12672613155154977, 0.0019685088336700574, 0.008820473056402989, -0.08930946497518259, -0.12055470572583242, 0.013972318787030721, 0.057114355293985376, 0.052061193636291136, 0.09701329306699336, 0.11716964585502865, -0.1779671843384373, -0.042293721138169836, 0.40597725372814847, -0.0799642412130197, -0.19153614968672628, 0.17172575606309692, -0.1440411037838203, -0.048610889306777004, 0.2126222188186754, 0.15306226818453675, 0.07784658093169128, -0.16485439848717456, 0.12959951331079841, -0.023386838283689333, 0.1927924898979351, 0.08162328744462381, 0.03037207252054941, 0.2055761060473742, 0.16066517495649654, 0.016782698374299798, 0.11647628336928999, -0.08749143461894467, -0.11480994381054188, -0.32423645247520955, -0.09329162361003303, -0.2641650682514107, 0.049309002457960105, -0.09014042707212866, -0.147477522063582, 0.32089184390497394, 0.09254153544073536, 0.20166962639147337, 0.02828307993271058, 0.28619206114672124, 0.17021027319121154, 0.0757735621057994, 0.043113820978760486, 0.2980139376207565, 0.13944525258618037, 0.05065834817105497, -0.2721289440705732, -0.00150842240206354, 0.10485384515413898] |
709.2531 | The total charm cross section | We assess the theoretical uncertainties on the total charm cross section. We
discuss the importance of the quark mass, the scale choice and the parton
densities on the estimate of the uncertainty. We conclude that due to the small
charm quark mass, which amplifies the effect of the other parameters in the
calculation, the uncertainty on the total charm cross section is difficult to
quantify.
| hep-ph | we assess the theoretical uncertainties on the total charm cross section we discuss the importance of the quark mass the scale choice and the parton densities on the estimate of the uncertainty we conclude that due to the small charm quark mass which amplifies the effect of the other parameters in the calculation the uncertainty on the total charm cross section is difficult to quantify | [['we', 'assess', 'the', 'theoretical', 'uncertainties', 'on', 'the', 'total', 'charm', 'cross', 'section', 'we', 'discuss', 'the', 'importance', 'of', 'the', 'quark', 'mass', 'the', 'scale', 'choice', 'and', 'the', 'parton', 'densities', 'on', 'the', 'estimate', 'of', 'the', 'uncertainty', 'we', 'conclude', 'that', 'due', 'to', 'the', 'small', 'charm', 'quark', 'mass', 'which', 'amplifies', 'the', 'effect', 'of', 'the', 'other', 'parameters', 'in', 'the', 'calculation', 'the', 'uncertainty', 'on', 'the', 'total', 'charm', 'cross', 'section', 'is', 'difficult', 'to', 'quantify']] | [-0.04784745499491692, 0.175845481068469, -0.06647989460482047, 0.1736228094669059, -0.04880380252232919, 0.04733852889890281, 0.10011934379402261, 0.3128102397116331, -0.2106498713676746, -0.3031812481009043, 0.007231520286474663, -0.31136700222985103, 0.03599047360207456, 0.15067568260889788, -0.021988749804978187, 0.11512360996924914, 0.09499496238736006, 0.034095639635164, -0.07641024574852334, -0.24533409389595573, 0.3955139820965437, 0.06945284157991409, 0.2427164312165517, 0.25567197848397955, 0.08650212664730274, 0.032063748916754356, -0.12246063323691488, -0.06674754403244991, -0.17228591826513787, 0.10964951845817268, 0.14028766736065826, 0.05474026530193021, 0.18033940345048904, -0.3557727393336021, -0.12599415564909577, 0.09043669250722115, 0.07013386575720058, 0.1161012369261768, 0.0161385766391714, -0.2517007225408004, 0.06866221523915346, -0.22684991010106526, -0.14179237669763656, -0.04956866319362934, 0.015839132387191056, -0.016594557793667683, -0.2476961387321353, 0.09970496066201191, -0.06738719828426838, -0.06032581721933988, -0.003430803929670499, -0.23243309094642217, -0.09515002232331496, 0.07022530503141192, 0.14683594518484405, 0.030839730226076566, 0.21631672319311362, -0.19215895390997711, -0.08701121020489014, 0.4168024117556902, -0.036355167971207546, -0.22492083889933734, 0.09566789419891743, -0.1940269459468814, -0.13241258331646139, 0.08724284028061308, 0.2860908356960863, 0.057452343977414645, -0.16176335986417073, 0.07282373288986631, -0.02524860516960661, 0.23263090651195784, 0.03189902865829376, 0.04585059581754299, 0.17920717493845867, 0.2123652208596468, 0.016061019632392204, 0.042401510807506454, -0.18464345842098387, -0.12244962016836955, -0.38323015019011036, -0.10285675901059921, -0.09408391724125698, 0.04955125624457231, -0.12016432360508658, -0.12117747952445196, 0.38301417088637557, 0.2115649720797172, 0.27601092618245343, 0.015758368933501726, 0.3740959907380434, 0.14594905643652265, 0.08584560769825028, 0.0580365960772794, 0.3305242136120796, 0.2351239143942411, 0.0750907326475359, -0.33775464463262606, 0.11544015243506202, 0.015498477378143714] |
709.2532 | On Weak Fields in Finsler Spaces | It is shown that in the weak field approximation the new geometrical approach
can lead to the linear field equations for the several independent fields. For
the stronger fields and in the second order approximation the field equations
become non-linear, and the fields become dependent. This breaks the
superposition principle for every separate field and produces the interaction
between different fields.The unification of the gravitational and
electromagnetic field theories is performed in frames of the geometrical
approach in the pseudo Riemannian space and in the curved Berwald-Moor space.
| math-ph math.MP | it is shown that in the weak field approximation the new geometrical approach can lead to the linear field equations for the several independent fields for the stronger fields and in the second order approximation the field equations become nonlinear and the fields become dependent this breaks the superposition principle for every separate field and produces the interaction between different fieldsthe unification of the gravitational and electromagnetic field theories is performed in frames of the geometrical approach in the pseudo riemannian space and in the curved berwaldmoor space | [['it', 'is', 'shown', 'that', 'in', 'the', 'weak', 'field', 'approximation', 'the', 'new', 'geometrical', 'approach', 'can', 'lead', 'to', 'the', 'linear', 'field', 'equations', 'for', 'the', 'several', 'independent', 'fields', 'for', 'the', 'stronger', 'fields', 'and', 'in', 'the', 'second', 'order', 'approximation', 'the', 'field', 'equations', 'become', 'nonlinear', 'and', 'the', 'fields', 'become', 'dependent', 'this', 'breaks', 'the', 'superposition', 'principle', 'for', 'every', 'separate', 'field', 'and', 'produces', 'the', 'interaction', 'between', 'different', 'fieldsthe', 'unification', 'of', 'the', 'gravitational', 'and', 'electromagnetic', 'field', 'theories', 'is', 'performed', 'in', 'frames', 'of', 'the', 'geometrical', 'approach', 'in', 'the', 'pseudo', 'riemannian', 'space', 'and', 'in', 'the', 'curved', 'berwaldmoor', 'space']] | [-0.16143097899806558, 0.1567071904216639, -0.10065842988181183, 0.11014430553901051, -0.0872631558555771, -0.08095146645791829, -0.07984710331815718, 0.3370526910823008, -0.2711874437306754, -0.2848457402697849, 0.0485831696463389, -0.19182478661373767, -0.14040650459620255, 0.19025814745427025, 0.016412172297185116, 0.00014036133440888742, -0.029884552673055707, 0.05810416608371518, -0.07570059040021575, -0.233125985912259, 0.3738701228999575, 0.02233357873575931, 0.2928258211944591, 0.011266740298279647, 0.14812267530413176, 0.049805476007432764, -0.0029493165625767274, 0.0930362734196189, -0.06850004737274999, 0.1024625203823565, 0.1829775280579766, 0.07272623790041424, 0.2585968588563529, -0.44651954379084846, -0.22582850682506847, 0.06672147737646644, 0.09373248203403571, 0.15325914788991213, -0.0384939971845597, -0.30461003546687687, 0.03058324235660786, -0.09796808397566731, -0.11656439458337528, -0.08458663168659603, 0.007506201677394777, 0.007990408519452269, -0.2934691137634218, 0.055067897962131115, 0.08108548008352624, 0.025188954980959268, -0.10208605647891421, -0.058032368436794386, 0.013856537036851725, 0.0978461195845739, 0.09591201882259073, 0.09748944784355858, 0.0775717410188835, -0.16029962513659318, -0.08113319943235679, 0.40491745536300267, -0.10583223321670877, -0.23600077544423667, 0.16754172301046888, -0.1602966922695156, -0.11406642031083307, 0.14670375658368523, 0.17536944255698472, 0.14582984679674899, -0.1255225167816124, 0.15540063641211335, 0.007842278793263673, 0.1270597237268124, 0.05406010955233465, 0.03551944802430543, 0.2001492535610768, 0.08967619332146239, 0.07181727285073562, 0.11136859518327666, -0.05388616901605432, -0.12552942244590007, -0.3497015857561068, -0.1666057191323489, -0.13821962649341335, 0.01711221941778521, -0.1342069928124891, -0.1822202482101354, 0.39587298631456425, 0.1533912347460335, 0.12432428900997779, 0.0035025141074914823, 0.2665121553211727, 0.15368514975125436, 0.0882868767869447, 0.060728464148599996, 0.34752502211962233, 0.2191199600360547, 0.10053168662654405, -0.19341611770406333, -0.049714033645366064, 0.07416876385898584] |
709.2533 | Host galaxy subtraction of TeV candidate BL Lacertae objects | We have derived R-band host galaxy fluxes of 20 TeV candidate BL Lacertae
objects as a function of aperture radius and FWHM. The results are given as
correction tables, that list the fluxes (in mJy) of all ``contaminating''
sources (host galaxy + significant nearby objects) as a function of aperture
radius and FWHM. We found that the derived fluxes depend strongly on aperture
radius, but the FWHM has only a minor effect (a few percent). We also discuss
the implications of our findings to optical monitoring programs and potential
sources of error in our derived fluxes. During this work we have also
constructed new calibration star sequences for 9 objects and present the
finding charts and calibrated magnitudes.
| astro-ph | we have derived rband host galaxy fluxes of 20 tev candidate bl lacertae objects as a function of aperture radius and fwhm the results are given as correction tables that list the fluxes in mjy of all contaminating sources host galaxy significant nearby objects as a function of aperture radius and fwhm we found that the derived fluxes depend strongly on aperture radius but the fwhm has only a minor effect a few percent we also discuss the implications of our findings to optical monitoring programs and potential sources of error in our derived fluxes during this work we have also constructed new calibration star sequences for 9 objects and present the finding charts and calibrated magnitudes | [['we', 'have', 'derived', 'rband', 'host', 'galaxy', 'fluxes', 'of', '20', 'tev', 'candidate', 'bl', 'lacertae', 'objects', 'as', 'a', 'function', 'of', 'aperture', 'radius', 'and', 'fwhm', 'the', 'results', 'are', 'given', 'as', 'correction', 'tables', 'that', 'list', 'the', 'fluxes', 'in', 'mjy', 'of', 'all', 'contaminating', 'sources', 'host', 'galaxy', 'significant', 'nearby', 'objects', 'as', 'a', 'function', 'of', 'aperture', 'radius', 'and', 'fwhm', 'we', 'found', 'that', 'the', 'derived', 'fluxes', 'depend', 'strongly', 'on', 'aperture', 'radius', 'but', 'the', 'fwhm', 'has', 'only', 'a', 'minor', 'effect', 'a', 'few', 'percent', 'we', 'also', 'discuss', 'the', 'implications', 'of', 'our', 'findings', 'to', 'optical', 'monitoring', 'programs', 'and', 'potential', 'sources', 'of', 'error', 'in', 'our', 'derived', 'fluxes', 'during', 'this', 'work', 'we', 'have', 'also', 'constructed', 'new', 'calibration', 'star', 'sequences', 'for', '9', 'objects', 'and', 'present', 'the', 'finding', 'charts', 'and', 'calibrated', 'magnitudes']] | [-0.0635101166812496, 0.03510122885927558, -0.031494123375632316, 0.10179990047139204, -0.07540465976135471, -0.10241682668670248, 0.06743009519986172, 0.48611210853370845, -0.12506264468463948, -0.416731761306779, 0.11548646587719763, -0.2941279997412338, -0.04832902247420488, 0.25030840169160795, -0.0875725516030549, -0.007952315963677362, 0.09096619599642089, -0.08433431379982613, -0.06717372203293519, -0.2588439352480042, 0.26171823482737583, 0.0808545235130522, 0.17500203647292578, 0.020817099090774532, 0.10803014264067906, -0.03776267744823653, -0.10642570623347902, 0.03588072472435032, -0.14133277420478407, 0.04879784744837855, 0.19468692018308192, 0.12929398842299214, 0.17757262345244232, -0.29263212518273, -0.20143121991776183, 0.09715510489275822, 0.15543511764566278, 0.05663220453052185, -0.07945764554031672, -0.27871309307555103, 0.07818093946856311, -0.18282884825021029, -0.16727664804038328, 0.036431904181710675, 0.09890174200264816, 0.07333680086333352, -0.17967517915555936, 0.09164745855079486, 0.007000101770027581, 0.10755384146458764, -0.11139777150904584, -0.18728014938214904, -0.06380736936504643, 0.12244603301708896, 0.02522044690946738, 0.054798341678598754, 0.1879236189664429, -0.12893197817417482, -0.06104268917602956, 0.38428321310207564, -0.04272044855607753, -0.07680512752192907, 0.13530434031461358, -0.177987999525558, -0.15151647083524966, 0.15193530777270275, 0.172912318756979, 0.1438751002558722, -0.17329701371729755, -0.029876418268948827, -0.0315455598766621, 0.25807105887155884, 0.041239183137400284, 0.10911347807417862, 0.2920340787874073, 0.08587483731775075, 0.03756925417209824, 0.10077476370721482, -0.26575982177224106, 0.028933824171336033, -0.331212379802496, -0.07257276082124847, -0.13863672053095144, 0.06433365492470579, -0.11479007716936906, -0.13543507202108526, 0.38870749772231805, 0.12724533341188207, 0.18499391690955266, 0.0928648136333268, 0.2670188306265662, 0.09143067366925156, 0.1347803747877563, 0.07696514275784676, 0.3228508250580894, 0.15156566950643802, 0.07254433102157508, -0.1786860860371763, -0.007974201327778844, 0.011379934716014525] |
709.2534 | Properties of the angular gap in a one dimensional photonic band gap
structure containing single negative materials | The linear properties of the angular gap in a one dimensional photonic band
gap structure containing single negative material layers are investigated. This
gap forms at oblique incidence due to total internal reflection into air when
the Snell's law breaks down and its lower edge occurs at the frequency where
the refractive index of one or both layers of the structure approaches zero.
This gap is found to be highly sensitive to the incident angle and the
polarization of light, but is not affected by thickness ratio of the layers. It
is also shown that the electric field is extremely enhanced at the low
frequency edge of this gap for transverse magnetic polarization. This highly
enhanced electric field can be used for certain applications.
| cond-mat.other | the linear properties of the angular gap in a one dimensional photonic band gap structure containing single negative material layers are investigated this gap forms at oblique incidence due to total internal reflection into air when the snells law breaks down and its lower edge occurs at the frequency where the refractive index of one or both layers of the structure approaches zero this gap is found to be highly sensitive to the incident angle and the polarization of light but is not affected by thickness ratio of the layers it is also shown that the electric field is extremely enhanced at the low frequency edge of this gap for transverse magnetic polarization this highly enhanced electric field can be used for certain applications | [['the', 'linear', 'properties', 'of', 'the', 'angular', 'gap', 'in', 'a', 'one', 'dimensional', 'photonic', 'band', 'gap', 'structure', 'containing', 'single', 'negative', 'material', 'layers', 'are', 'investigated', 'this', 'gap', 'forms', 'at', 'oblique', 'incidence', 'due', 'to', 'total', 'internal', 'reflection', 'into', 'air', 'when', 'the', 'snells', 'law', 'breaks', 'down', 'and', 'its', 'lower', 'edge', 'occurs', 'at', 'the', 'frequency', 'where', 'the', 'refractive', 'index', 'of', 'one', 'or', 'both', 'layers', 'of', 'the', 'structure', 'approaches', 'zero', 'this', 'gap', 'is', 'found', 'to', 'be', 'highly', 'sensitive', 'to', 'the', 'incident', 'angle', 'and', 'the', 'polarization', 'of', 'light', 'but', 'is', 'not', 'affected', 'by', 'thickness', 'ratio', 'of', 'the', 'layers', 'it', 'is', 'also', 'shown', 'that', 'the', 'electric', 'field', 'is', 'extremely', 'enhanced', 'at', 'the', 'low', 'frequency', 'edge', 'of', 'this', 'gap', 'for', 'transverse', 'magnetic', 'polarization', 'this', 'highly', 'enhanced', 'electric', 'field', 'can', 'be', 'used', 'for', 'certain', 'applications']] | [-0.15975481080315676, 0.20579311314448265, -0.03710453449973777, 0.01738150843659476, -0.08151943153972106, -0.1333721420998054, 0.04487998152880238, 0.4294014895755437, -0.33628986884028683, -0.3470985763255627, 0.07464930781204585, -0.2551396956682325, -0.10505236418084091, 0.16541922226690897, 0.01165379108785982, 0.009114696576181169, -0.01715981364700823, 0.008184581491795758, -0.04649848502782744, -0.15129164169963089, 0.31582732061525026, 0.07848429091785464, 0.3351914053350957, 0.10229826738096533, 0.04187566845212132, 0.006570557938821073, 0.04390418384179112, 0.05305991692829036, -0.06345458941365406, 0.09560884482737991, 0.2369542822782551, -0.04779569361539137, 0.2038687213151265, -0.4075092113606872, -0.19360482879734087, 0.023843537417105248, 0.119842788200326, 0.08641237438836645, -0.038442591132010304, -0.21111628541632765, 0.08442213762206055, -0.1254634538237306, -0.17325181585751595, -0.001607937528000724, 0.02381280935256772, -0.03939737502725855, -0.261364114700794, 0.07788730775651094, 0.05939824363937782, 0.03507049175846811, -0.03233029176912931, -0.12204772377228965, -0.0957355025701315, 0.09120682888075657, 0.07115803130399136, 0.023832518874006645, 0.13557324694815062, -0.17733703219716018, -0.03373968232828643, 0.3606564493684639, -0.040757419064110796, -0.162113550119102, 0.16081246082115197, -0.21046576402976266, -0.01795263702778386, 0.19700810498362709, 0.17050633419515385, 0.11368924317508983, -0.0707595603773605, 0.06696698736636937, 0.01031066314317286, 0.20957054872997105, 0.12190644293948408, 0.06508087779906008, 0.25736736518240744, 0.14257176626180748, 0.09354759679896937, 0.15274137164834106, -0.12727508770823928, 0.003742171489002724, -0.2255681016362242, -0.14369189023273066, -0.19546058081417164, 0.037301099425554464, -0.08396072720244128, -0.17837417143422382, 0.42383008265507316, 0.09500753328780599, 0.1895172719115151, -0.040658400499171785, 0.31092625969059523, 0.19612350245006382, 0.12254819921743605, 0.08349310460260077, 0.31503278732059464, 0.16194427763994393, 0.12435210290394964, -0.2218143041264416, 0.07516985839690953, -0.037652915276046243] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.