Datasets:
dipudl
/
dataverse-tokenized-dataset

Dataset card Data Studio Files
xet
Community
text
stringlengths
33
3.74k
category
int64
0
19
__index_level_0__
int64
0
1.81M
input_ids
list
attention_mask
list
ghost project non gaussian quantum light local dot point correlation two photon used produce ghost image without place camera towards object theoretically demonstrated analyzed advantage non gaussian quantum inner light improving figure lineament ghost imaging organization traditional gaussian visible radiation source squeezing degree signal noise proportion snr ghost image enhanced non gaussian operation photon addition subtraction two mode tweet light source detect striking evidence use non gaussian coherent operation snr promoted high level even within super weak squeezing regime resulting insight allow new experimental recipe quantum imaging using non gaussian light illumination
13
1,221,140
[ 2, 7683, 2487, 278, 1476, 406, 1003, 619, 4463, 563, 1138, 312, 1658, 522, 1990, 7683, 488, 973, 3249, 2980, 1766, 934, 3470, 2327, 3273, 2051, 278, 1476, 406, 3386, 1003, 2859, 7547, 1175, 1391, 7683, 1909, 4770, 2239, 1476, 4670, 2463, 829, 8941, 1402, 901, 1068, 3592, 5646, 7683, 488, 2646, 278, 1476, 1837, 1658, 827, 9583, 312, 1082, 6312, 1003, 829, 2106, 7557, 2188, 508, 278, 1476, 2609, 1837, 5646, 14086, 298, 712, 1040, 992, 477, 1207, 8941, 1526, 1748, 2251, 735, 385, 982, 9201, 406, 1909, 291, 278, 1476, 1003, 6169, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
rapport assisted tunnel deformed optical microdisks motley phase space life time optical mode whispering gallery cavity crucially depend underlying classical beam moral force may violate front classic nonlinear plangency due resonance attend tunneling present intuitive semiclassical ikon allows accurate prediction decay pace optical mode organization mixed phase blank also extend perturbative verbal description near integrable system system sundry phase space find equally good correspondence approach base approximation literal ray dynamic integrable hamiltonian enables perform semiclassical quantization system introduce beam based verbal description decay optical fashion coupling determined either perturbatively semiclassically terminus complex path
12
781,413
[ 2, 2465, 379, 4275, 4185, 5735, 1195, 1072, 17502, 7481, 5149, 3707, 584, 410, 2434, 290, 1195, 1082, 19700, 14247, 3057, 8403, 626, 1924, 1070, 1786, 13380, 2058, 853, 10472, 4099, 5041, 1144, 1358, 2614, 12585, 824, 2292, 11471, 5134, 415, 5672, 6800, 18708, 58, 1191, 1677, 839, 1552, 13952, 1195, 1082, 4770, 2519, 584, 14794, 364, 971, 4011, 14454, 2045, 1027, 4067, 214, 214, 4034, 13544, 50, 584, 410, 696, 6969, 1860, 3437, 338, 2533, 1056, 18409, 1245, 565, 4067, 2001, 2296, 347, 6800, 3399, 214, 1077, 1786, 250, 14454, 2045, 1552, 1195, 4375, 1183, 2526, 1896, 11743, 6800, 97, 8606, 183, 586, 1324, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
first econometric depth psychology crix crime syndicate order price contingent title one need first time understand dynamic index provide first econometric analysis crix family within time serial publication framework key gradation analysis admit model choice estimation testing linear dependence arima model diagnostic checking resulted arima model usable sample menstruation aug st apr th manakin residual showed well bonk phenomenon excitability bundle therefore refinement lead arima garch process specification handily take care fertile butt property typical fiscal market multivariate garch model implemented crix index family explore interaction
15
1,155,192
[ 2, 499, 14178, 2220, 11872, 1039, 48, 10112, 12254, 5286, 452, 3377, 18094, 11972, 401, 1142, 499, 290, 1121, 565, 1901, 693, 499, 14178, 494, 1039, 48, 1644, 992, 290, 9765, 6111, 609, 1231, 5129, 75, 494, 3255, 142, 2273, 1083, 2248, 617, 1991, 16318, 142, 4809, 6256, 7708, 16318, 142, 12347, 832, 9909, 222, 1334, 2284, 92, 10030, 149, 398, 11046, 39, 3278, 3568, 529, 5775, 41, 1981, 1511, 367, 3465, 1840, 4942, 840, 16318, 15985, 455, 4547, 1333, 1141, 1884, 3149, 2740, 5695, 13283, 36, 559, 2922, 14956, 4134, 2766, 3808, 15985, 142, 2775, 1039, 48, 1901, 1644, 1989, 719, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
effectual field honor theory report long range nuclear space reflection symmetry violation lattice non zip signal vasco da gamma ray asymmetry neutron proton capture recently reported npdgamma quislingism provides first determination parity left pion nucleon couple constant ability reproduce economic value foremost principle serf verbatim test current understanding interplay impregnable weak interaction low energy motivate new lattice study review current status theoretic understanding copulate includes recent work relates nucleon mass splitting soft pion theorem look possible action calculating mass splitting lattice allow efficacious field operation theory parameterizations involved quark contraction diagram show lattice calculation easier connected diagram provide data chiral log much harder quark loop diagram thus help chiral extrapolation latter
19
446,768
[ 2, 610, 399, 381, 10743, 65, 476, 1439, 891, 889, 2461, 410, 3910, 1078, 4072, 1276, 278, 13621, 901, 15124, 4384, 3735, 3267, 1245, 4224, 2185, 2915, 2052, 1305, 2987, 3950, 40, 18763, 164, 86, 1233, 645, 1220, 499, 4267, 4258, 3698, 4722, 4376, 5552, 1269, 2182, 4720, 4252, 730, 5635, 2367, 1779, 6098, 13582, 289, 53, 821, 845, 1543, 4305, 927, 1976, 2536, 172, 1207, 719, 485, 470, 8411, 385, 1276, 352, 1977, 845, 4857, 3423, 1543, 8477, 1379, 2976, 644, 431, 7533, 4376, 669, 3586, 1489, 4722, 1396, 4146, 1117, 1274, 5793, 669, 3586, 1276, 735, 4734, 84, 3246, 381, 1837, 476, 12517, 4242, 2269, 5692, 2543, 223, 1276, 1672, 6612, 2137, 2543, 693, 233, 2687, 1211, 1804, 9093, 2269, 1984, 2543, 1214, 1967, 2687, 7256, 2679, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
physic governance network critical transition contagion dynamic multilayer adaptive network application sustainable use renewable imagination adaptive network versatile approach model phenomenon contagion spread active critical transition structure formation emerge dynamic coevolution complex network construction node nation study critical transition contagion dynamic multilayer adaptive network dynamic node state present diligence governance sustainable resourcefulness purpose focus three layer adaptive network model polycentric governance network interacts social meshing imagination user turn interacts ecologic network renewable imagination uncover sustainability favored slow fundamental interaction timescales tumid homophilic net adaptation rate long fragmentation threshold high taxation rate interestingly also abide trade eco dictatorship reduced model single governance histrion always tax unsustainable resource use polycentric governance network multiple actor latter setup sustainability enhanced low hindered high tax rate compared eco dictatorship case result highlight mechanism generating emergent critical transition contagion dynamic multilayer adaptive network show understood approximated analytically relevant understanding complex adaptive system various discipline ranging physic epidemiology sociology global sustainability science paper also provides insight potential decisive intervention point insurance descriptor tax governance sustainable renewable resource use inform process detailed social ecological modeling
12
778,672
[ 2, 1422, 13799, 256, 1166, 908, 10140, 565, 5985, 1917, 256, 542, 9289, 508, 7561, 19745, 1917, 256, 6774, 338, 142, 1981, 10140, 2853, 1894, 1166, 908, 497, 1564, 5703, 565, 18987, 586, 256, 1793, 1418, 12415, 352, 1166, 908, 10140, 565, 5985, 1917, 256, 565, 1418, 314, 415, 4562, 15963, 95, 13799, 9289, 1655, 789, 691, 2676, 1102, 776, 975, 1917, 256, 142, 9895, 4574, 13799, 256, 10501, 1794, 3453, 70, 19745, 881, 2405, 10501, 15077, 8131, 72, 256, 7561, 19745, 5583, 12566, 10816, 2563, 1708, 719, 6596, 4394, 127, 13837, 12364, 244, 3104, 687, 891, 6877, 2413, 298, 5429, 75, 687, 5729, 364, 598, 557, 2798, 15077, 9331, 4961, 13041, 44, 2104, 142, 782, 13799, 2398, 118, 58, 3176, 5429, 2516, 5165, 195, 1655, 508, 9895, 4574, 13799, 256, 849, 5824, 2679, 3405, 12566, 2646, 485, 11583, 298, 5429, 687, 985, 15077, 9331, 4961, 13041, 44, 516, 249, 3025, 1112, 2559, 4875, 1166, 908, 10140, 565, 5985, 1917, 256, 223, 4001, 5327, 4147, 1980, 1543, 586, 1917, 214, 1002, 7434, 4274, 1422, 14491, 8384, 8131, 50, 1297, 12566, 2430, 362, 364, 1220, 2251, 801, 14277, 4511, 563, 9243, 6091, 5429, 13799, 9289, 7561, 1655, 508, 3189, 455, 2721, 1794, 10322, 1490, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
computation efficient cnn system high quality brain tumor segmentation paper convolutional neural network cnn system proposed brain tumor segmentation system consists three part pre processing block reduce data volume application specific cnnascnn segment tumor area precisely refinement block detectremove false positive pixel cnn designed specifically task convolution layer channel per layer requiring parameter convolution combined max pooling first half cnn performed localize tumor area two convolution mode namely depthwise convolution standard convolution performed parallel first layer extract elementary feature efficiently fine classification pixel wise precision second half cnn feature map modulated adding individually weighted local feature map generated first half cnn performance proposed system evaluated online platform dataset multimodal brain tumor image segmentation benchmark brat requiring low computation volume proposed system delivers high segmentation quality indicated average dice score enhancing tumor whole tumor tumor core respectively also median dice score consistency system performance also measured demonstrating system able reproduce almost output input retraining simple structure proposed system facilitates implementation computation restricted environment wide range application thus expected
3
136,784
[ 2, 1189, 790, 1957, 214, 298, 1320, 2773, 5052, 1721, 362, 1747, 549, 256, 1957, 214, 459, 2773, 5052, 1721, 214, 2834, 776, 1229, 519, 1567, 1505, 2068, 233, 2116, 542, 1255, 1957, 3078, 882, 3471, 5052, 1589, 3800, 4942, 1505, 2106, 17812, 11766, 4142, 1629, 3156, 1957, 2092, 1855, 546, 1348, 975, 1062, 184, 975, 4167, 481, 1348, 2500, 3206, 6078, 499, 3045, 1957, 2183, 9264, 5052, 1589, 312, 1348, 1082, 2511, 17996, 1348, 974, 1348, 2183, 1912, 499, 975, 1890, 4788, 571, 2372, 2489, 920, 3156, 3756, 2235, 937, 3045, 1957, 571, 813, 6259, 4379, 7869, 2456, 619, 571, 813, 1472, 499, 3045, 1957, 473, 459, 214, 2702, 1831, 2145, 608, 4476, 2773, 5052, 488, 1721, 1520, 17634, 4167, 485, 1189, 2116, 459, 214, 10626, 298, 1721, 1320, 8631, 1611, 8358, 2347, 5756, 5052, 3317, 5052, 5052, 1915, 1853, 364, 5745, 8358, 2347, 3165, 214, 473, 364, 2205, 4648, 214, 1728, 4720, 2460, 1633, 983, 10021, 1004, 497, 459, 214, 6622, 1797, 1189, 3722, 1028, 1762, 889, 542, 1214, 1945, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
two proton momentum correlation photondisintegration clump light core quasi deuteron region proton proton momentum correlational statistic map constructed three eubstance photo disintegration channel prey quasi deuteron government within framework extended quantum molecular dynamic example using formula lednicky lyuboshitz momentum correlation function obtain proton proton impulse correlation function specific leash body photon disintegration channel target assume different initial geometric structure extract respective emission reference size proton proton pair final result demonstrate constructing proton proton momentum correlation feasible photo atomic reaction sore initial nuclear structure future experimental field study investigating clustering structure easy nucleus present study used caducous light performance correlativity function analysis pp epp reaction
14
977,052
[ 2, 312, 2915, 1772, 1138, 1658, 17502, 16211, 7107, 1003, 1915, 2119, 10464, 977, 2915, 2915, 1772, 1138, 61, 2196, 813, 2776, 776, 4300, 2893, 3477, 15843, 38, 3292, 217, 16211, 1062, 12067, 2119, 10464, 6904, 992, 609, 1979, 406, 2013, 565, 848, 291, 1729, 4294, 14064, 4395, 3744, 13074, 9036, 1772, 1138, 327, 575, 2915, 2915, 8959, 1138, 327, 1255, 275, 1952, 1577, 1658, 217, 16211, 1062, 1176, 3780, 467, 1352, 1987, 497, 1890, 5718, 1645, 2796, 918, 2915, 2915, 1140, 2811, 249, 717, 4151, 2915, 2915, 1772, 1138, 4138, 3292, 2671, 2608, 14576, 38, 1352, 2461, 497, 1387, 982, 381, 352, 5360, 2108, 497, 3798, 2993, 415, 352, 522, 6807, 123, 211, 1003, 473, 856, 5431, 327, 494, 4320, 1805, 44, 2608, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
covid image data collection paper describes initial covid open image data collection created assembling medical image website publication currently contains frontal view ray
3
157,824
[ 2, 2222, 488, 233, 3027, 362, 3705, 1352, 2222, 1090, 488, 233, 3027, 4153, 15724, 2791, 488, 7515, 6111, 3458, 2927, 14946, 1541, 1245, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
automobile larn meet multiscale modeling chemical reaction due intrinsical complexity nonlinearity chemical substance response direct application traditional car learning algorithmic program may face many difficulty study two concrete example biologic background illustrate key musical theme multiscale simulate help deoxidize computational cost machine learning lot intimately machine learning algorithm perform model reduction automatically time scale separated system study highlight necessity effectiveness consolidation machine learning algorithm multiscale modeling study chemical substance chemical reaction
5
1,023,423
[ 2, 979, 15342, 418, 39, 5084, 5919, 1490, 2531, 2608, 824, 2996, 61, 1223, 5505, 2531, 13687, 1601, 1108, 542, 2239, 884, 285, 3930, 1349, 853, 2385, 731, 3585, 352, 312, 5375, 848, 6101, 8131, 72, 1919, 2495, 1231, 8482, 9868, 5919, 4499, 1967, 139, 4653, 17871, 3291, 1259, 1103, 825, 285, 5111, 13562, 825, 285, 349, 347, 142, 1843, 3155, 290, 680, 4758, 214, 352, 3025, 8265, 2059, 15190, 825, 285, 349, 5919, 1490, 352, 2531, 13687, 2531, 2608, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
deep latent variable kernel learning deep kernel learning dkl leverage connection gaussian process gp neural network nn build end end hybrid model combine capability nn learn rich representation massive data non parametric property gp achieve automatic regularization incorporates trade model fit model complexity however deterministic encoder may weaken model regularization following gp part especially small datasets due free latent representation therefore present complete deep latent variable kernel learning dlvkl model wherein latent variable perform stochastic encoding regularized representation enhance dlvkl two aspect expressive variational posterior neural stochastic differential equation nsde improve approximation quality ii hybrid prior taking knowledge sde prior posterior arrive flexible trade intensive experiment imply dlvkl nsde performs similarly well calibrated gp small datasets outperforms existing deep gps large datasets
0
87,778
[ 2, 562, 2254, 1089, 1858, 285, 562, 1858, 285, 16769, 43, 2906, 1960, 1476, 455, 2809, 549, 256, 4651, 2655, 904, 904, 2025, 142, 2606, 2459, 4651, 234, 2659, 748, 2030, 233, 278, 3105, 559, 2809, 1455, 1816, 2823, 5622, 2798, 142, 1814, 142, 1223, 627, 3022, 3392, 853, 17743, 142, 2823, 2401, 2809, 1229, 2301, 762, 1037, 824, 965, 2254, 748, 1840, 415, 1878, 562, 2254, 1089, 1858, 285, 3899, 46, 7707, 142, 7840, 2254, 1089, 347, 1119, 3577, 4515, 748, 2158, 3899, 46, 7707, 312, 2346, 6684, 2332, 3196, 549, 1119, 1493, 552, 10024, 743, 1354, 1056, 1320, 1465, 2025, 1388, 2960, 1179, 11876, 1388, 3196, 8800, 3322, 2798, 5313, 427, 5675, 3899, 46, 7707, 10024, 743, 3717, 5709, 529, 6504, 2809, 762, 1037, 2113, 936, 562, 7287, 506, 1037, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
exact structure degeneration hall algebra study degeneration hall algebra exact category induced degree function set isomorphism class indecomposable object prove degeneration hall algebra exact category hall algebra smaller exact structure additive category admissible sense enomoto satisfying suitable finiteness condition prove degeneration kind additively finite case degree function form simplicial cone whose face lattice reflects property lattice exact structure category representation dynkin quiver recover degeneration negative part corresponding quantum group well associated polyhedral structure studied fourier reineke first author along way give minor improvement certain result enomoto brustle langford hassoun roy concerning classification exact structure additive category prove idempotent complete additive category exists abelian category whose lattice serre subcategories isomorphic lattice exact structure show every krull schmidt category admits unique maximal admissible exact structure lattice smaller exact structure admissible exact structure boolean
1
522,371
[ 2, 1487, 497, 10122, 3157, 877, 352, 10122, 3157, 877, 1487, 1798, 1627, 1402, 327, 376, 5444, 463, 13203, 934, 900, 10122, 3157, 877, 1487, 1798, 3157, 877, 2723, 1487, 497, 3906, 1798, 7955, 2912, 145, 85, 7946, 4321, 2345, 9803, 587, 900, 10122, 3251, 3906, 97, 834, 516, 1402, 327, 337, 6151, 3946, 1857, 2385, 1276, 8366, 559, 1276, 1487, 497, 1798, 748, 14574, 6698, 1868, 10122, 2221, 1229, 1309, 406, 657, 529, 1187, 9828, 497, 1590, 3287, 1714, 5921, 38, 499, 2953, 1622, 1024, 1041, 4926, 1760, 1452, 249, 145, 85, 7946, 11412, 79, 80, 1105, 7429, 13563, 339, 144, 17988, 5026, 920, 1487, 497, 3906, 1798, 900, 11243, 1878, 3906, 1798, 3030, 3361, 1798, 1857, 1276, 14212, 14332, 5813, 1276, 1487, 497, 223, 1933, 8061, 3069, 9749, 1798, 4824, 2326, 3321, 7955, 1487, 497, 1276, 2723, 1487, 497, 7955, 1487, 497, 5530, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
transition space continuity lyapunov exponent quasiperiodic erwin schrodinger cocycles reconstruct noncontinuous percentage point lyapunov advocate quasiperiodic schrodinger cocycles gevrey space contrast lyapunov exponent proved continuous gevrey space citekleincgyz show transition space persistence lyapunov exponent
8
605,536
[ 2, 908, 410, 5611, 4997, 3360, 11895, 726, 10629, 3629, 13639, 3538, 3143, 16609, 8162, 563, 4997, 11078, 11895, 3629, 13639, 18992, 410, 2070, 4997, 3360, 3145, 1335, 18992, 410, 5585, 7921, 1049, 13714, 49, 223, 908, 410, 6436, 4997, 3360, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
heavy element rydberg transition line emission post giant evolution star hd report detection two line millimetre wavelength towards immediate surroundings post giant likely post common envelope star hd using high angular resolution alma observation circumstellar environment object rich different molecular specie find viable identification term molecular line aim determine whether line attributed rydberg transition xalpha xalpha neutral atom element heavier carbon simple model strict local thermodynamic equilibrium warm gas environment moderate temperature star teff constructed corroborate finding geometrically thin disc like geometry seen face chosen distance kpc observed flux density line continuum ghz reproduced using msun gas temperature hydrogen density cm assuming solar abundance element gas lie within distance au star assuming distance kpc ionisation fraction low origin region clear may related common envelope evolution phase condition line emission dominated rydberg transition within stable isotope mg turbulent velocity field range km required fit gaussian line shape upper limit average magnetic field line emitting region set using zeeman effect line speculate rydberg transition heavy element may interesting probe close environment moderate temperature object like agb star red supergiant yellow hypergiants binary various type
10
1,308,300
[ 2, 2476, 1241, 6746, 908, 1175, 1645, 1717, 4056, 1085, 706, 4915, 1439, 791, 312, 1175, 16833, 3110, 1766, 8111, 12634, 1717, 4056, 3258, 1717, 1277, 5061, 706, 4915, 291, 298, 2669, 1378, 6496, 972, 8962, 1028, 934, 2659, 467, 2013, 3527, 696, 5889, 2450, 612, 2013, 1175, 1484, 1988, 2252, 1175, 5762, 6746, 908, 28, 14445, 28, 14445, 3856, 1369, 1241, 10508, 4000, 1004, 142, 3773, 619, 2788, 1726, 5856, 1632, 1028, 5465, 906, 706, 19387, 2776, 9581, 1545, 7459, 2840, 397, 1079, 1583, 3214, 2385, 3966, 1193, 6054, 1059, 2136, 784, 1175, 3269, 4524, 7829, 291, 8968, 1632, 906, 4015, 784, 2090, 3416, 2131, 3436, 1241, 1632, 2098, 992, 1193, 1111, 706, 3416, 1193, 6054, 13329, 1654, 485, 2093, 977, 2905, 853, 1264, 1277, 5061, 1085, 584, 587, 1175, 1645, 3995, 6746, 908, 992, 1834, 7456, 5591, 4317, 1621, 381, 889, 4111, 2089, 1814, 1476, 1175, 1761, 2054, 625, 1611, 826, 381, 1175, 7381, 977, 376, 291, 9624, 610, 1175, 13564, 6746, 908, 2476, 1241, 853, 2547, 2634, 2247, 1028, 5465, 906, 934, 1079, 10460, 706, 547, 12577, 11638, 7270, 102, 1123, 12156, 32, 1446, 1002, 654, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
standard based ebsd fingerprinting order orientation material orientation determination necessarily require complete knowledge local atomic arrangement material present method microstructural phase discrimination orientation analysis phase limited information available method experimental kikuchi diffraction pattern utilized generate self consistent standard use technique electron backscatter diffraction ebsd application example map locally varying orientation sample icosahedral quasicrystals observed tizrni alloy
4
1,547,242
[ 2, 974, 250, 9775, 5342, 12045, 452, 3728, 1222, 3728, 4267, 4831, 2115, 1878, 1179, 619, 2671, 6096, 1222, 415, 210, 14201, 584, 6250, 3728, 494, 584, 1676, 545, 1192, 210, 982, 18879, 41, 12851, 4892, 1412, 4583, 1941, 1081, 1460, 974, 508, 703, 1149, 9355, 4892, 9775, 5342, 542, 848, 813, 2977, 2566, 3728, 832, 17133, 11790, 15678, 1059, 6307, 49, 16381, 31, 5632, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
quantum differential equation helix note partly touch topic talk given author xxxviii workshop geometric method physic hold june july bialowieza poland consist short self contained introduction isomonodromic approach quantum cohomology dubrovins conjecture overview recent result obtained joint work dubrovin guzzetti arxiv varchenko arxiv given
8
649,732
[ 2, 406, 1493, 552, 13883, 3089, 9643, 10034, 2916, 8900, 812, 2953, 8612, 48, 345, 3455, 8778, 1987, 210, 1422, 2660, 12717, 12672, 11945, 102, 400, 9957, 440, 193, 911, 1491, 1081, 5319, 4585, 19429, 14014, 338, 406, 3886, 7634, 9645, 6558, 2049, 4523, 644, 249, 970, 1776, 431, 7634, 9645, 60, 1076, 3704, 17184, 4767, 8128, 8596, 39, 13091, 4767, 812, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
convergence laplace approximation noise level robustness laplace based monte carlo method bayesian inverse problem bayesian approach inverse problem provides rigorous framework incorporation quantification uncertainty measurement parameter model interested designing numerical method robust wrt size observational noise ie method behave well case concentrated posterior measure concentration posterior highly desirable situation practice since relates informative large data however pose computational challenge numerical method based prior reference measure propose employ laplace approximation posterior base measure numerical integration context laplace approximation gaussian measure centered maximum posteriori estimate covariance matrix depending logposterior density discus convergence result laplace approximation term hellinger distance analyze efficiency monte carlo method based particular show laplace based importance sampling laplace based quasi monte carlo method robust wrt concentration posterior large class posterior distribution integrands whereas prior based importance sampling plain quasi monte carlo numerical experiment presented illustrate theoretical finding
1
519,936
[ 2, 1298, 5610, 1056, 1068, 712, 2066, 5610, 250, 2545, 2565, 210, 1920, 2218, 304, 1920, 338, 2218, 304, 1220, 3699, 609, 9804, 5234, 1451, 852, 481, 142, 6011, 3918, 869, 210, 872, 8846, 918, 3736, 1068, 1273, 210, 7328, 529, 516, 7973, 3196, 949, 3280, 3196, 1752, 5401, 3055, 2686, 1784, 7533, 5679, 506, 233, 627, 2731, 1259, 1136, 869, 210, 250, 1388, 2796, 949, 537, 1550, 5610, 1056, 3196, 2533, 949, 869, 2984, 1115, 5610, 1056, 1476, 949, 6050, 1749, 8568, 999, 3494, 766, 3054, 1211, 213, 7639, 784, 883, 1298, 249, 5610, 1056, 612, 17962, 1193, 1849, 1370, 2545, 2565, 210, 250, 756, 223, 5610, 250, 2420, 1836, 5610, 250, 2119, 2545, 2565, 210, 872, 8846, 3280, 3196, 506, 463, 3196, 555, 17623, 3589, 1388, 250, 2420, 1836, 11570, 2119, 2545, 2565, 869, 427, 1588, 2495, 1238, 1545, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
inertial effect self propelled particle active brownian active langevin motion active particle self propelled converting energy mechanical motion represent expanding research realm physic chemistry micron sized particle moving liquid microswimmers basic feature described using model overdamped active brownian motion however macroscopic particle microparticles moving gas inertial effect become relevant dynamic underdamped therefore recently active particle inertia described extending active brownian motion model active langevin dynamic include inertia perspective article recent development active particle inertia microflyers summarized single particle property collective effect many particle include inertial delay effect particle velocity self propulsion direction tuning long time self diffusion moment inertia effect fictitious force non inertial frame influence inertia motility induced phase separation possible future development perspective also proposed discussed
4
1,347,425
[ 2, 5447, 610, 1081, 13235, 836, 1894, 4504, 1894, 6439, 1367, 1894, 836, 1081, 13235, 10137, 470, 3028, 1367, 570, 5794, 952, 10362, 1422, 5384, 8026, 6009, 836, 3354, 2493, 17150, 2919, 571, 2422, 291, 142, 15031, 1894, 4504, 1367, 627, 4749, 836, 19948, 3354, 1632, 5447, 610, 2387, 1980, 565, 18059, 1840, 1305, 1894, 836, 7632, 2422, 4244, 1894, 4504, 1367, 142, 1894, 6439, 565, 2373, 7632, 2452, 2063, 644, 1642, 1894, 836, 7632, 1072, 9650, 1421, 10559, 782, 836, 559, 3723, 610, 731, 836, 2373, 5447, 2439, 610, 836, 1621, 1081, 10890, 1562, 2752, 891, 290, 1081, 1998, 1147, 7632, 610, 13803, 2058, 278, 5447, 534, 2368, 7632, 11859, 1627, 584, 2782, 1117, 1387, 1642, 2452, 364, 459, 2443, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
scaling limit utility indifference price discretized bachelier model consider discretized bachelier model hedging suffice equidistant set time exponential utility nonchalance toll studied path dependent european alternative compute non trivial grading limit large bit trading time risk aversion surmount comparable unvarying analysis strictly probabilistic first economic consumption duality argument transform problem optimal drift control job penalty term use martingale technique solid invariance precept get set problem take form volatility control job
15
1,121,830
[ 2, 2147, 625, 3312, 18537, 162, 3377, 8105, 17732, 2348, 59, 142, 520, 8105, 17732, 2348, 59, 142, 12234, 13638, 16235, 376, 290, 2488, 3312, 3143, 19911, 95, 17391, 1590, 1324, 1521, 7234, 2262, 1893, 278, 2867, 9682, 625, 506, 2712, 6198, 290, 1965, 16259, 507, 11236, 10779, 3102, 171, 14939, 1177, 494, 5036, 2568, 499, 4252, 3694, 3570, 3306, 1492, 304, 819, 4075, 561, 5769, 5132, 612, 508, 8225, 703, 2903, 3928, 1030, 7995, 3195, 376, 304, 1884, 337, 6085, 561, 5769, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
theater operation analogue ruijsenaars schneider model suggest battlefield extension classical elliptic ruijsenaars schneider model model define two dissimilar way lead effect first one via trace chain product ground substance allows one introduce hamiltonian poser show model gauge equivalent classical elliptic spin chain agency one obtains lattice field analogue ruijsenaars schneider model continuous timethe second method acting base investigation general elliptic family resolution toda equation derive equation motion pole number conflict equation infinite direction together zero curvature representation likewise show equation motion hamiltonian obtained system equation naturally regarded field generalization ruijsenaars schneider organization lattice version coincides model acquaint via first method continuum boundary space commission read give field extension calogero moser model known literature fully discrete rendering construction also discus
12
752,964
[ 2, 311, 2142, 1837, 4196, 19123, 19618, 3666, 142, 1503, 17963, 6056, 1900, 1070, 3250, 19123, 19618, 3666, 142, 142, 2560, 312, 9222, 1024, 840, 610, 499, 401, 864, 3158, 1882, 1568, 1636, 13687, 1191, 401, 1077, 2001, 2731, 34, 223, 142, 2036, 2514, 1070, 3250, 740, 1882, 10037, 401, 7209, 1276, 381, 4196, 19123, 19618, 3666, 142, 1335, 290, 8446, 937, 210, 5136, 2533, 3111, 421, 3250, 1644, 1378, 11970, 552, 1527, 552, 1367, 5243, 486, 6962, 552, 2149, 1562, 2556, 1362, 2396, 748, 13459, 223, 552, 1367, 2001, 970, 214, 552, 3241, 6833, 381, 1781, 19123, 19618, 3666, 4770, 1276, 1904, 7093, 142, 2864, 6573, 864, 499, 210, 3269, 1107, 410, 11683, 3746, 1041, 381, 1900, 14675, 12944, 142, 886, 1810, 1771, 1596, 6538, 1793, 364, 883, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
constrain segregated gluon statistical statistical distribution inclusive photon production proton proton collision lhc compute result order lo next head orderliness nlo contribution inclusive photon product proton proton pp hit lhc transmission channel furnish dominant donation lo nlo photon transverse impulse corresponding impulse fraction colliding proton computation performed diluted dense framework color glass capsule effective field theory cgc eft show nlo part dominate small sore dependant unintegrated gluon statistical statistical distribution proton prognosis maximal modification cross section low direct event assault factorization coherence consequence responsible limiting enhance nucleus identified inclusive photon measurement proton core hit provide mathematical upshot keep apart inclusive photon cross section gev pp hit tested future lhc
16
881,212
[ 2, 739, 18655, 4679, 1558, 1558, 555, 7436, 1658, 2155, 2915, 2915, 1881, 3599, 1893, 249, 452, 1010, 2432, 4184, 452, 12449, 32, 9918, 1688, 7436, 1658, 1568, 2915, 2915, 4320, 6889, 3599, 2264, 1062, 16378, 3986, 7400, 75, 1010, 9918, 1658, 3415, 8959, 1309, 8959, 1654, 10798, 2915, 1189, 2183, 16946, 2637, 609, 2802, 3963, 8600, 1013, 381, 476, 9389, 33, 8687, 223, 9918, 1229, 8079, 762, 14576, 38, 626, 150, 12300, 573, 4391, 4679, 1558, 1558, 555, 2915, 13882, 3321, 3397, 1202, 2524, 485, 1108, 1170, 446, 7293, 3838, 3684, 2736, 4995, 3962, 2158, 2993, 2807, 7436, 1658, 852, 2915, 1915, 6889, 693, 2657, 8514, 8266, 36, 4141, 7000, 7436, 1658, 1202, 2524, 3598, 4320, 6889, 3209, 1387, 3599, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
fully heavy tetraquarks heavy multiquarks survey present discussion fully laborious tetraquarks made ii charmed quark cheese two anticharmed antiquark multiquark state involving heavy flavour
7
1,700,882
[ 2, 1771, 2476, 16299, 2476, 329, 5251, 32, 1799, 415, 4139, 1771, 14458, 16299, 2219, 1465, 12017, 2269, 6672, 3953, 312, 5471, 6525, 64, 12934, 329, 5251, 314, 3007, 2476, 7521, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
weakly supervised prostate gland tma categorization via graph convolutional web histology free base grade classification clinically important many cancer type stratifying patient distinct treatment group prostate cancer gleason score grading system used measure aggressiveness prostate cancer crab spacial organization jail cell statistical distribution secretory organ however subjective interpretation gleason score frequently suffers orotund interobserver intraobserver variability previous work deeply learning based objective gleason grading necessitate manual pixel point note work propose weakly supervised approach grade classification tissue micro array tma using graph convolutional network gcns simulation spatial organization cadre graph better capture proliferation community structure neoplasm cell node level feature graphical record representation learn morphometry cell using contrastive prognosticative coding cpc based ego supervised approach demonstrate five fold cross validation method acting reach auc using tma stage label method demonstrates improvement standard gcns grain feature improvement gcns vgg feature proposed pipeline used objectively stratify low high peril case reducing inter intra observer variability pathologist workload
3
191,433
[ 2, 3313, 1812, 10704, 15425, 39, 40, 5057, 42, 10823, 864, 471, 1747, 3615, 15763, 965, 2533, 8923, 920, 10975, 994, 731, 4144, 654, 15592, 4005, 2708, 2770, 2506, 657, 10704, 4144, 13052, 1914, 2347, 9682, 214, 522, 949, 12611, 691, 10704, 4144, 15449, 5291, 300, 4770, 14, 540, 1395, 1558, 555, 6211, 283, 2415, 627, 6759, 2800, 13052, 1914, 2347, 5416, 6961, 266, 148, 554, 206, 357, 6541, 59, 4787, 357, 6541, 59, 3721, 912, 431, 9557, 285, 250, 1715, 13052, 1914, 9682, 18014, 5078, 3156, 563, 3089, 431, 537, 3313, 1812, 338, 8923, 920, 4385, 1072, 2455, 5057, 42, 291, 471, 1747, 256, 11452, 679, 1325, 4770, 6807, 114, 471, 1251, 2052, 10213, 2257, 497, 16191, 15065, 1395, 1418, 712, 571, 5082, 3355, 748, 234, 3005, 3264, 1395, 291, 5608, 12720, 342, 3619, 3281, 33, 250, 10913, 1812, 338, 717, 3201, 4088, 1202, 3596, 210, 5136, 2123, 6848, 291, 5057, 42, 2031, 1232, 210, 3755, 1760, 974, 11452, 2783, 571, 1760, 11452, 8936, 571, 459, 3531, 522, 18866, 15592, 2451, 485, 298, 1212, 43, 516, 3390, 206, 4787, 4719, 3721, 14807, 6306, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
stage master pathway encumbrance switchable fast slow light cavity magnon polariton system study phase controlled transmittal property chemical compound system consisting copper cavity fe garnet yig sphere tuning relative phase magnon pump cavity probe tone constructive destructive interference occur sporadically strongly modify cavity field infection spectrum group delay alight moreover tunable amplitude ratio pump probe feeling allows improve signal absorption amplification accompanied either significantly enhanced optical advance delay phase amplitude ratio used realize situ tunable switchable degraded slow light tunable stage bounty ratio lead zero reflection transmitted clean abrupt fast slow lightness transition result confirm direct magnon pumping coupling eyelet provides versatile route achieve controllable signal transmission storage communication expanded quantum regime realizing logical country processing quantum limited precise measurement
13
1,288,302
[ 2, 2031, 5645, 5665, 1050, 10292, 8168, 95, 16593, 1180, 2563, 1003, 3057, 6830, 8436, 214, 352, 584, 2988, 3884, 3477, 43, 559, 2531, 4132, 214, 3618, 10745, 3057, 412, 15829, 16929, 3018, 2752, 1946, 584, 6830, 5972, 3057, 2634, 11179, 7754, 10398, 3092, 1899, 16257, 200, 2120, 6228, 3057, 381, 4745, 978, 657, 2439, 8440, 2009, 1415, 4936, 2233, 1467, 5972, 2634, 16178, 1191, 1354, 901, 3274, 6530, 6815, 1896, 1411, 2646, 1195, 2722, 2439, 584, 2233, 1467, 522, 4919, 5270, 4936, 16593, 10709, 2563, 1003, 4936, 2031, 7492, 351, 1467, 840, 1362, 3910, 7051, 4528, 9266, 1180, 2563, 1003, 691, 908, 249, 2353, 1108, 6830, 7856, 1183, 5753, 2704, 1220, 6774, 4732, 1455, 6297, 901, 2264, 3408, 1313, 8794, 406, 1526, 6938, 5615, 4299, 1567, 406, 1676, 3235, 852, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
trans planckian censorship inflation dark matter inflationary phase lasted longer minimal period length scale observed today originate mode smaller planck length inflation recently argued trans planckian problem never arise consistent string theory framework place stringent constraint energy scale inflation gev paper show requirement corresponds small hubble scale inflation gev therefore serious consequence scenario dark matter density generated amplification quantum fluctuation inflation also present class inflationary model satisfy limit scale inflation perfect agreement observational data
7
1,551,503
[ 2, 335, 12724, 10528, 3109, 1397, 1074, 6398, 584, 2787, 64, 4381, 2169, 1278, 1698, 680, 1059, 5455, 9226, 1082, 2723, 4100, 1698, 3109, 1305, 9030, 335, 12724, 304, 3932, 3676, 1460, 2470, 476, 609, 3249, 7537, 986, 470, 680, 3109, 3598, 362, 223, 2404, 4490, 762, 5083, 680, 3109, 3598, 1840, 6637, 2736, 1296, 1397, 1074, 784, 1472, 6530, 406, 2160, 3109, 364, 415, 463, 6398, 142, 3664, 625, 680, 3109, 3261, 2626, 3736, 233, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
constrain nemg nenmg reaction rate apply sub charles augustin de coulomb transfer reaction nemg nenmg reaction play important role astrophysics significant influence neutron flux rickety branch cognitive process constrain astrophysical rate reaction appraise partial width resonance magnesium site gamow windowpane ne capture resonance populated using nelidmg nelitmg response energy approximate coulomb roadblock low energy carry reaction party favour universe low spin state extracted partial width observed sonorousness exhibit minor dependency modelling parameter astrophysical pace nemg nenmg chemical reaction shown significantly different previously suggested value
14
935,938
[ 2, 739, 14575, 47, 159, 19984, 47, 2608, 687, 1780, 389, 466, 4250, 13535, 60, 139, 4577, 1293, 2608, 14575, 47, 159, 19984, 47, 2608, 1973, 994, 1574, 7301, 779, 2368, 2185, 2136, 4512, 12124, 50, 3461, 4925, 455, 739, 4318, 687, 2608, 16859, 491, 2170, 3191, 2292, 18325, 3032, 1279, 102, 4029, 3713, 243, 159, 2052, 2292, 12475, 291, 159, 2117, 4565, 47, 159, 2117, 17574, 47, 1601, 470, 2148, 4577, 4028, 12917, 485, 470, 3771, 2608, 4883, 7956, 2690, 485, 740, 314, 3404, 2170, 3191, 1059, 10666, 3003, 691, 1835, 4926, 3486, 3082, 481, 4318, 13952, 14575, 47, 159, 19984, 47, 2531, 2608, 1186, 1411, 467, 2240, 4556, 730, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
survey miscellany quantum mechanic non local hidden variable theory non relativisitic quantum theory presented give realist completion quantum mechanic sense terminated description individual event proposed fundamental theory wing industrious causal mark theory assumes prison term event causal structure momentum energy fundamental space wave function emergent beables theory view event subset causal past thence theory asserts universe causal network event consists fond view seen look backwards event fundamental dynamic based action whose potential energy proportional variety measure diversity purview upshot kinetic energy relative pace modification schroedinger equation derived leading order expansion density event primal story higher rule order computable correction non additive wave function unexampled physical impression may betoken
13
1,276,986
[ 2, 1799, 17510, 12542, 13685, 406, 3378, 278, 619, 3084, 1089, 476, 278, 2118, 86, 18382, 406, 476, 1588, 1041, 495, 521, 4240, 406, 3378, 2912, 16263, 2045, 1570, 1170, 459, 1708, 476, 8883, 4513, 118, 211, 2812, 1280, 476, 7349, 16663, 612, 1170, 2812, 497, 1772, 470, 1708, 410, 713, 327, 4875, 478, 3500, 476, 1541, 1170, 2553, 2812, 2965, 311, 15843, 38, 476, 13948, 2690, 2812, 256, 1170, 2834, 3748, 39, 40, 1541, 3214, 4146, 17389, 1170, 1708, 565, 250, 1274, 1857, 801, 470, 4649, 1683, 949, 3654, 1739, 1576, 8514, 8266, 36, 2868, 470, 1946, 13952, 3397, 16851, 552, 1712, 2085, 452, 2114, 784, 1170, 7214, 7310, 1084, 2046, 452, 7922, 2303, 278, 3906, 713, 327, 4790, 10469, 1347, 15593, 853, 1054, 7822, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
theory birth universe recapitulation clause first time discus possible regularization big bang curvature singularity standard friedmann cosmology curvature singularity replaced spacetime defect moot hypothesis unexampled physic phase yield ascension particular spacetime defect specifically set explorative calculation using iib ground substance manikin proposed particular formulation nonperturbative superstring theory possibility
11
263,235
[ 2, 476, 7624, 2690, 19041, 76, 361, 11126, 499, 290, 883, 1117, 2823, 3315, 8010, 2396, 3012, 974, 11490, 4177, 2396, 3012, 6645, 3426, 2938, 588, 148, 2765, 4790, 10469, 1422, 584, 1718, 9646, 370, 756, 3426, 2938, 1855, 376, 1944, 342, 1672, 291, 12221, 1636, 13687, 398, 3936, 60, 459, 756, 2139, 10491, 14191, 476, 2851, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
determination perturbative qcd pair aleph decay data using pinched borel laplace finite energy sum rule present determination perturbative qcd pqcd coupling use va channel aleph decay data determination involves twice pinched borel marquis de laplace center rule finite energy sum rule theoretical basis wheeler dealer product expanding upon ope va channel adler function higher order terminus leading twist part originate model ground get structure lead renormalons amount applied rating method acting contour improved disturbance theory cipt fixed order disturbance theory fopt principal economic value borel resummation pv method involve truncation order coupling contrast truncated cipt method truncated fopt pv method acting news report correctly suppression various renormalon contribution adler function mentioned sum rule extract value couple ordinary fopt pv method acting inclusion cipt method would increase average economic value uncertainty significantly
7
1,732,739
[ 2, 4267, 4011, 3072, 1140, 11505, 229, 1552, 233, 291, 18161, 64, 7555, 5610, 834, 470, 1327, 2046, 415, 4267, 4011, 3072, 9670, 2350, 1183, 508, 7608, 1062, 11505, 229, 1552, 233, 4267, 3806, 8671, 18161, 64, 7555, 3439, 136, 86, 139, 5610, 2231, 2046, 834, 470, 1327, 2046, 1238, 2272, 12523, 2951, 59, 1568, 5794, 2761, 12001, 7608, 1062, 198, 1725, 327, 1084, 452, 8606, 183, 2085, 3044, 1229, 9226, 142, 1636, 3195, 497, 840, 3431, 2491, 2224, 1261, 7059, 210, 5136, 6417, 2023, 5302, 476, 6147, 518, 1650, 452, 5302, 476, 3748, 518, 3893, 4252, 730, 7555, 11427, 7448, 210, 4979, 6666, 452, 1183, 2070, 6156, 6147, 518, 210, 6156, 3748, 518, 7448, 210, 5136, 4140, 1439, 5356, 5323, 1002, 3431, 58, 1688, 198, 1725, 327, 6656, 1327, 2046, 1890, 730, 5552, 4269, 3748, 518, 7448, 210, 5136, 4652, 6147, 518, 210, 2274, 1376, 1611, 4252, 730, 1451, 1411, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
toxic language detection social medium brazilian portuguese new dataset multilingual analysis hate speech toxic comment common concern social medium platform user although comment fortunately minority platform still capable causing harm therefore identifying comment important task studying preventing proliferation toxicity social medium previous work automatically detecting toxic comment focus mainly english work language like brazilian portuguese paper propose new large scale dataset brazilian portuguese tweet annotated either toxic non toxic different type toxicity present dataset collection annotation process aimed select candidate covering multiple demographic group state art bert model able achieve macro score using monolingual data binary case also show large scale monolingual data still needed create accurate model despite recent advance multilingual approach error analysis experiment multi label classification show difficulty classifying certain type toxic comment appear le frequently data highlight need develop model aware different category toxicity
0
17,666
[ 2, 13445, 1146, 791, 1794, 1865, 16868, 18952, 385, 608, 6468, 494, 9278, 1767, 13445, 4895, 1277, 2625, 1794, 1865, 2145, 881, 2302, 4895, 17617, 9915, 2145, 1923, 3194, 7809, 2544, 1840, 3433, 4895, 994, 546, 3535, 9465, 10213, 14131, 1794, 1865, 912, 431, 3155, 3427, 13445, 4895, 1102, 3601, 4884, 431, 1146, 1079, 16868, 18952, 362, 537, 385, 506, 680, 608, 16868, 18952, 6312, 4796, 1896, 13445, 278, 13445, 467, 654, 14131, 415, 608, 3027, 3534, 455, 6287, 3869, 2333, 4367, 849, 7414, 657, 314, 930, 4194, 142, 1728, 1455, 3572, 2347, 291, 10988, 233, 1446, 516, 364, 223, 506, 680, 10988, 233, 1923, 3177, 3459, 1677, 142, 2601, 644, 2722, 6468, 338, 857, 494, 427, 329, 1232, 920, 223, 3585, 5861, 1452, 654, 13445, 4895, 1913, 275, 5416, 233, 3025, 1142, 578, 142, 2931, 467, 1798, 14131, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
extended martini water model heat transfer study computationally efficient classical martini model extended simulate heat transfer simulation water current martini model variation coarse grain water model focus reproducing thermodynamic property room temperature hence making unsuitable studying high temperature simulation especially evaporation degc work martini model reparametrized using combination genetic algorithm artificial neural network nelder mead optimization technique match phase equilibrium property water reparametrized model martini accurately reproduces density enthalpy vaporization surface tension degc outperforms leading coarse grain water model model also validated using energy conservation enthalpy change due latent heat lamellar system new water model used simulating phase change phenomenon thin film evaporation energy transport mechanism accurately
2
1,532,627
[ 2, 1979, 11854, 31, 2767, 142, 2551, 1293, 352, 3180, 790, 1070, 11854, 31, 142, 1979, 4499, 2551, 1293, 679, 2767, 845, 11854, 31, 142, 1929, 4234, 2783, 2767, 142, 1102, 7058, 2788, 559, 4273, 906, 2648, 2016, 15299, 3535, 298, 906, 679, 2301, 7676, 13122, 431, 11854, 31, 142, 15557, 12593, 291, 2033, 5178, 349, 2611, 549, 256, 159, 1110, 59, 303, 224, 868, 703, 2780, 584, 1726, 559, 2767, 15557, 12593, 142, 11854, 31, 3236, 7863, 784, 16309, 7766, 280, 854, 4404, 13122, 2113, 2085, 4234, 2783, 2767, 142, 142, 364, 4378, 291, 470, 4356, 16309, 1173, 824, 2254, 2551, 4162, 1634, 214, 385, 2767, 142, 522, 5639, 584, 1173, 1981, 2840, 2869, 7676, 470, 1538, 1112, 3236, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
anomaly detection conditional variational autoencoders exploit rapid progress probabilistic inference special variational thomas bayes variational autoencoders vaes anomaly detection ad chore remains assailable research question previous work argued training vae good example inliers deficient framework significantly change club discriminate anomalous instance work exploit deep conditional variational autoencoder cvae delimit original red ink function concert metric target hierarchically structured data ad motivating application real world problem monitoring trigger system introductory component many particle physic experiment cern turgid hadron collider lhc experimentation show superscript performance method classical machine learning ml bench mark application program
17
385,807
[ 2, 2595, 791, 2820, 2332, 6316, 2208, 2522, 3331, 2568, 1444, 1846, 2332, 10298, 1724, 2332, 6316, 10181, 2595, 791, 198, 17356, 2685, 446, 540, 195, 952, 1408, 912, 431, 9030, 660, 6168, 1860, 848, 83, 2950, 32, 12769, 609, 1411, 1173, 19987, 8967, 3414, 2086, 431, 2208, 562, 2820, 2332, 4904, 5526, 3976, 8175, 2435, 2167, 547, 17381, 327, 9713, 7937, 1093, 1176, 11890, 3140, 233, 198, 10999, 542, 495, 1258, 304, 3353, 3837, 214, 13556, 1071, 731, 836, 1422, 427, 10214, 9245, 12527, 40, 3167, 4296, 3599, 9341, 223, 3767, 6777, 473, 210, 1070, 825, 285, 2482, 1504, 1280, 542, 1349, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
control disorderly system deep reinforcement learning deep reinforcement study drl applied control nonlinear chaotic system govern one dimensional kuramoto sivashinsky equation drl u reinforcement learning principle determination optimal restraint solution late neural mesh approximating value social occasion control policy recent practical application shown drl crataegus oxycantha achieve superhuman performance complex cognitive labor work show using bound localized actuation partial knowledge state based limited sensor measuring model free drl controller possible stabilize dynamic system rule around unstable fixed solution considered target state robustness controller tested considering several trajectory phase space give forth different initial shape show drl eer adequate driving stabilizing active around target country complexity system possibility defining drl control condition policy relying local measurement system efficiency command nonlinear dynamic pave direction application rl method control complex fluid system turbulent boundary bed turbulent social multiphase flow
12
777,043
[ 2, 561, 2747, 97, 214, 562, 1864, 285, 562, 1864, 352, 6852, 1261, 561, 1144, 4557, 214, 3847, 401, 673, 11698, 16201, 11100, 2758, 4395, 552, 6852, 25, 1864, 285, 1779, 4267, 819, 1620, 263, 36, 533, 4482, 549, 3453, 5728, 730, 1794, 11998, 561, 1289, 644, 2065, 542, 1186, 6852, 9596, 3477, 16388, 32, 5403, 6702, 39, 225, 42, 1455, 17718, 18643, 473, 586, 4925, 4102, 431, 223, 291, 451, 3510, 10922, 2170, 1179, 314, 250, 1676, 1972, 3835, 142, 965, 6852, 2854, 1117, 8798, 565, 214, 2046, 1926, 4359, 1650, 533, 1657, 1176, 314, 2066, 2854, 3209, 2462, 876, 2026, 584, 410, 1041, 8981, 467, 1352, 1761, 223, 6852, 16691, 7821, 2594, 8857, 1894, 1926, 1176, 4299, 1223, 214, 2851, 4922, 6852, 561, 587, 1289, 5298, 619, 852, 214, 1370, 7715, 1144, 565, 6067, 1562, 542, 2942, 210, 561, 586, 2130, 214, 4317, 1107, 8615, 4317, 1794, 11011, 928, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
forecasting time serial varma recursion graph graph free base technique come forth choice mass dimensionality egress mold multivariate time series yet complete understanding rudimentary structure could overwork ease task work allow contribution direction considering predict process evolving graphical record make use approximate time vertex stationarity presumption explorer timevarying graph signal whose beginning second order statistical invariant time correlated known graph topology latter combined var varma model tackle dimensionality exit present predicting temporal evolution multivariate fourth dimension series receive projecting data graph spiritual domain multivariate model estimation reduces meet number uncorrelated univariate arma model ii optimal lowly rank data theatrical performance exploited lose weight estimation cost case multivariate process observed subset node proposed model extend naturally kalman filtering graph allowing optimal tracking numerical experiment celluloid real data validate proposed approach highlight benefit state art alternative
18
1,594,718
[ 2, 3724, 290, 9765, 8128, 1208, 7898, 471, 471, 965, 2533, 703, 3543, 8981, 2273, 669, 4130, 1454, 568, 9363, 40, 3808, 290, 1461, 2334, 1878, 1543, 13080, 18065, 497, 1499, 887, 192, 8106, 546, 431, 735, 1688, 1562, 2462, 1480, 455, 4987, 5082, 3355, 1225, 508, 2148, 290, 1949, 9702, 11436, 658, 11245, 290, 14939, 1177, 471, 901, 1857, 7877, 937, 452, 1558, 1406, 290, 2842, 886, 471, 2376, 2679, 2500, 8128, 8128, 1208, 142, 3898, 4130, 8298, 415, 3285, 1675, 1085, 3808, 6445, 443, 1461, 7266, 11573, 233, 471, 9633, 399, 749, 3808, 142, 1083, 3275, 5084, 486, 10113, 8640, 18847, 142, 1465, 819, 485, 97, 1850, 233, 311, 10599, 61, 473, 5701, 11368, 1152, 1083, 1103, 516, 3808, 455, 1059, 2553, 1418, 459, 142, 971, 3241, 6667, 3978, 471, 2936, 819, 2680, 869, 427, 1395, 7345, 127, 495, 233, 3283, 459, 338, 3025, 2539, 314, 930, 2262, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
reconciliation practical quantum central distribution bb shot protocol paper investigate new information reconciliation method quantum fundamental distribution case two political party interchange key presence malevolent eavesdropper respect reconciliation special caseful channel coding existing technique adapted reconciliation describe explicit reconciliation method base turbo codification believe proposed method improve efficiency quantum central distribution communication protocol based discrete quantum land
13
1,203,879
[ 2, 17774, 2065, 406, 1905, 555, 9757, 3031, 2237, 362, 1190, 385, 545, 17774, 210, 406, 1708, 555, 516, 312, 7241, 4883, 14252, 1231, 1591, 12058, 11014, 78, 10335, 1785, 17774, 1846, 516, 789, 1062, 3619, 936, 703, 4800, 17774, 1734, 1359, 17774, 210, 2533, 17912, 5716, 1442, 5829, 459, 210, 1354, 1370, 406, 1905, 555, 1313, 2237, 250, 1596, 406, 2382, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
body test eft mightiness counting residuary cutoff dependence method quantitatively as consistency power counting proposal effective field theory eft non perturbative leading order presented renormalisation group evolution observable predicts functional form residual cutoff dependency breakdown scale eft low momentum scale order calculation passing test necessary sufficient consistency criterion propose power counting whose exact nature disputed chiral effective subject theory chieft one nucleon lack universally accepted analytical solution obfuscate convergence pattern result led proposal predict different set low energy coefficient lecs chiral order time even predict different ordering long range contribution method acting may severally check whether observable renormalised given ordering prof estimate breakdown scale momentum dependent order order convergence pattern conversely help identify lecs long range small arm ensure renormalised observables given order also discus presumption relation wilson renormalisation group utile evident cutoff alternative momentum window likely best signal dependence note value form crosscut well eft parameter encroachment fitting lecs data caveat intimately limitation since test designed minimise use information quantitatively falsifies eft renormalised consistently complement test quantify eft compare experiment application particular fond wave nn scattering chieft may elucidate persistent power consider issue
14
948,267
[ 2, 1577, 821, 8687, 3107, 4253, 4183, 2641, 8965, 7072, 1991, 210, 5223, 548, 3165, 716, 4183, 3765, 1013, 381, 476, 8687, 278, 4011, 2085, 452, 1588, 11912, 657, 1085, 4131, 4560, 1653, 337, 3278, 7072, 3486, 7622, 680, 8687, 485, 1772, 680, 452, 1672, 5544, 821, 2446, 1883, 3165, 2437, 537, 716, 4183, 1857, 1487, 2014, 8122, 1323, 2687, 1013, 2315, 476, 9839, 3921, 36, 401, 4376, 2532, 10302, 8486, 2428, 533, 14509, 103, 1298, 1412, 249, 4294, 3765, 1480, 467, 376, 485, 470, 1624, 18225, 32, 2687, 452, 290, 1040, 1480, 467, 4485, 891, 889, 1688, 210, 5136, 853, 876, 97, 3944, 2252, 4131, 3431, 879, 812, 4485, 1777, 999, 7622, 680, 1772, 1521, 452, 452, 1298, 1412, 10074, 1967, 1678, 18225, 32, 891, 889, 762, 3528, 3943, 3431, 879, 3622, 812, 452, 364, 883, 11436, 658, 893, 6598, 11912, 657, 1311, 38, 10702, 7072, 2262, 1772, 4029, 3258, 1539, 901, 1991, 3089, 730, 337, 1202, 9884, 529, 8687, 481, 1050, 71, 221, 190, 3794, 18225, 32, 233, 16791, 13562, 2753, 1784, 821, 2092, 15315, 508, 545, 5223, 19018, 724, 8687, 3431, 879, 4408, 2746, 821, 3658, 8687, 1845, 427, 542, 756, 3748, 39, 40, 713, 4651, 1661, 9839, 3921, 36, 853, 8356, 5461, 716, 520, 1737, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
fast scientific achievement prospect fast largest single dish radio telescope world characteristic fast presented analyzed context parameter space show fast science achievement affected summarize scientific achievement fast discus future science based new part parameter space explored fast
10
1,423,066
[ 2, 1180, 3372, 10371, 5988, 1180, 4085, 782, 13807, 2193, 3067, 1258, 1548, 1180, 1588, 3273, 1115, 481, 410, 223, 1180, 2430, 10371, 4392, 7324, 3372, 10371, 1180, 883, 1387, 2430, 250, 385, 1229, 481, 410, 3891, 1180, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
regularized optimal execution job singular limitation investigate portfolio execution trouble fabric excitability liquidity uncertain model assume multidimensional markovian stochastic factor movement moreover fashion model indirect liquidness cost temporary price impact condition power law relate agentive role turnover rate inaugural analyze regularized setting admissible strategy check complete execution initial inventory prove existence singularity continuous bounded viscosity solution hamilton jacobi bellman equation whence obtain characterization optimal trading charge per unit spin proof obtain numerical algorithmic program analyze constrained problem admissible strategy must guarantee complete execution trader solve monotonicity disceptation obtaining optimal strategy singular boundary regularized counterpart
15
1,146,166
[ 2, 4515, 819, 4021, 5769, 1911, 2753, 1190, 5954, 4021, 19753, 80, 5791, 1511, 367, 14393, 1328, 142, 3780, 6587, 5663, 1119, 955, 4014, 1415, 4375, 142, 5390, 2493, 691, 1103, 14076, 3377, 1485, 587, 716, 1746, 5369, 1145, 647, 1574, 15850, 687, 83, 17841, 393, 1849, 4515, 1163, 7955, 1168, 3944, 1878, 4021, 1352, 11033, 900, 1666, 3012, 1335, 2010, 4566, 533, 7177, 5483, 9836, 552, 7765, 15843, 38, 575, 2537, 819, 6198, 1682, 184, 1436, 740, 1689, 575, 869, 3930, 1349, 1849, 2421, 304, 7955, 1168, 2618, 2190, 1878, 4021, 14045, 1925, 7462, 397, 7995, 75, 4383, 819, 1168, 1911, 1107, 4515, 3383, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
transfer polarization initial final proton pliable process dependence ratio interbreeding section without whirl flip well polarization asymmetry summons numerically analyzed employ result jlab polarization experiment mensuration ratio sachs form factor process calculation made lawsuit initial rest final proton fully polarized coarse whirl quantization axis coincides focusing motion final proton longitudinal polarization transfer proton look case partially polarize initial proton kinematics used experimentation report liyanage et al sane collaborationism phys rev double spin asymmetry measured process noticeable sensitivity polarization transfer proton form dependence ratio found sensitivity crataegus oxycantha used channel new main experiment measure dependence process criterion arsenic reliableness measurement proportion sachs form factor using rosenbluth technique project used analyze leave two experimentation
17
393,972
[ 2, 1293, 2425, 1352, 2811, 2915, 341, 5795, 455, 1991, 1467, 206, 4573, 9091, 2524, 973, 787, 151, 43, 6110, 529, 2425, 4224, 2520, 2491, 3138, 3273, 1550, 249, 14, 3691, 2425, 427, 9909, 2129, 1109, 1467, 17266, 337, 955, 455, 1672, 2219, 1746, 2129, 76, 1352, 1620, 2811, 2915, 1771, 4062, 4234, 787, 151, 43, 3399, 3499, 7093, 3895, 1367, 2811, 2915, 4627, 2425, 1293, 2915, 4146, 516, 3710, 1263, 462, 1352, 2915, 5841, 522, 9341, 1439, 613, 16632, 215, 1623, 128, 9712, 38, 4552, 645, 723, 2872, 2377, 740, 4224, 2205, 455, 12007, 2307, 2425, 1293, 2915, 337, 1991, 1467, 1088, 2307, 9596, 3477, 16388, 32, 5403, 6702, 39, 225, 42, 522, 1062, 385, 925, 427, 949, 1991, 455, 2437, 16587, 72, 3338, 691, 852, 3592, 17266, 337, 955, 291, 11610, 3542, 3171, 703, 2487, 522, 1849, 8002, 312, 9341, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
seven survival sen evolutionary training shuffle discerning difference raw spotting law similarity discus preliminary result two experiment put forth notion development sensory system mightiness pitch towards pick difference rather spotting similarity present possibility necessity spot difference mightiness evolved assure survival suggest numerous experiment as response participant various stimulation debate present state amour wherein need boom merely survive requires place similarity around provide suggestion dimension developed include mathematical education conclude alternate measure intelligence agency term involvement quotient also iq gauge level interest sense organ whatever happening around individual
5
1,034,635
[ 2, 6199, 5727, 9283, 3942, 660, 11528, 13112, 70, 1608, 4773, 13152, 1746, 2447, 883, 5260, 249, 312, 427, 4612, 8981, 2245, 1642, 9015, 214, 3107, 4253, 7700, 1766, 7669, 1608, 2728, 13152, 2447, 415, 2851, 8265, 5310, 1608, 3107, 4253, 6914, 19413, 5727, 1503, 4464, 427, 548, 1601, 4330, 1002, 11524, 8016, 415, 314, 590, 371, 7840, 1142, 1246, 85, 9577, 10832, 2007, 3249, 2447, 1926, 693, 8810, 443, 1502, 2373, 2657, 7150, 3766, 9262, 949, 3457, 10037, 612, 14315, 5162, 364, 13790, 2036, 712, 1640, 2912, 2415, 787, 103, 126, 18089, 1926, 1570, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
optically tailored trapping geometry ultracold atom type ii superconducting chip superconducting atom chip significant advantage realizing trapping structure ultracold atom compared conventional atom chip extend advantage developing ability dynamically tailor superconducting trap architecture heating chosen part superconducting film transferring optical image onto surface able modify current density distribution create desired trapping potential method enables u change shape structure magnetic trap enabling versatile application atomtronics
2
1,313,490
[ 2, 6191, 5916, 6564, 1583, 7206, 1369, 654, 1465, 3070, 4836, 3070, 1369, 4836, 779, 2051, 6938, 6564, 497, 7206, 1369, 985, 2172, 1369, 4836, 971, 2051, 3533, 2182, 4213, 11884, 3070, 2952, 1091, 4576, 3966, 1229, 3070, 2869, 8335, 1195, 488, 4116, 854, 1728, 6228, 845, 784, 555, 3459, 3547, 6564, 801, 210, 2296, 25, 1173, 1761, 497, 826, 2952, 3747, 6774, 542, 1369, 4750, 16033, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
addition su author vest hilbert place construct undershirt hilbert white space linkup summation su generator corresponds solution karl friedrich gauss natural jurisprudence wicket qcd normalized basis state explicitly construct use schwinger boson compute action basic singlet operator basis domain
19
415,002
[ 2, 827, 158, 2953, 11180, 36, 3266, 3249, 1244, 12365, 13041, 7937, 3266, 3554, 410, 1927, 436, 8971, 158, 2896, 4490, 533, 9061, 43, 18220, 5259, 1398, 17573, 7401, 1968, 1150, 15843, 38, 14901, 77, 3072, 5067, 2272, 314, 2706, 1244, 508, 8305, 2986, 1893, 1274, 2919, 5715, 941, 2272, 749, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
supersmoothing slow contraction performing full non perturbative analytic thinking using tool numeric world wide relativity demonstrate period ho hum contraction supersmoothing cosmological form homogenizes isotropizes flattens universe classically quantum mechanically far robustly rapidly realized early written report
11
253,935
[ 2, 3767, 11236, 9766, 2563, 5692, 3324, 1616, 278, 4011, 2354, 11259, 291, 1242, 12380, 1258, 1762, 4260, 717, 1278, 4738, 1025, 5692, 3767, 11236, 9766, 2485, 337, 7737, 1918, 3160, 738, 1918, 10197, 331, 2690, 9076, 406, 12175, 2209, 7648, 4128, 4276, 2467, 5056, 1439, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
semiparametric difference difference potentially many control variable paper saucer difference opinion difference estimate exist many control variable potentially sample size showcase traditional estimation method require restrain number varying work one may consider use statistical automobile pick cubic centimeter method however well known theory illation ml method acting proposed chernozhukov et al straight applying ml method conventional semiparametric reckoner cause significant bias gain reckoner fail sqrtn consistent article proposes three modern figurer three different data body structure able shrink bias achieve sqrtn consistency asymptotic normality mean zero use ml method lead straightforward inferential procedure addition show new estimator pocket sized bias property sbp meaning bias converge zero faster pointwise prejudice nonparametric estimator based
15
1,168,081
[ 2, 11757, 1608, 1608, 3345, 731, 561, 1089, 362, 4534, 589, 34, 1608, 4906, 1608, 999, 991, 731, 561, 1089, 3345, 832, 918, 7578, 2239, 1083, 210, 2115, 1620, 263, 486, 2566, 431, 401, 853, 520, 508, 1558, 979, 15342, 7669, 4358, 16462, 210, 627, 529, 886, 476, 3229, 75, 2482, 210, 5136, 459, 4559, 11919, 11624, 5042, 1623, 128, 4449, 2709, 2482, 210, 2172, 11757, 251, 13091, 1162, 3001, 779, 1736, 2146, 251, 13091, 1162, 2213, 18747, 39, 1460, 2063, 3259, 776, 2939, 7547, 34, 776, 467, 233, 1577, 497, 1728, 7398, 1736, 1455, 18747, 39, 3165, 1342, 8780, 823, 1362, 508, 2482, 210, 840, 5419, 13616, 1898, 827, 223, 385, 1951, 12590, 6009, 1736, 559, 6817, 44, 3351, 1736, 4570, 1362, 2829, 7740, 519, 55, 188, 577, 5374, 1951, 250, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
dynamical mechanism page curve quantum chaos evaporation opprobrious hole formed pure state unitary entanglement hawking radiation follow page curve increase zero near halfway spot dehydration decreasing back zip world wide argument page curve base supposition quantum state pitch dark gob plus radiation evaporation process distinctive paper show page curve result simple dynamical input signal evolution black hole based recently proposed signature quantum chaos without resort typicality argument based refer operator gas approach allows one understand evolution microstate black hole generic feature heisenberg evolution operator one cay feature lead page curve possibility dynamical process operator gas pedal jump outside black fix refer void formation mental process process initially exponentially suppressed dominate certain time scale use dynamical definition thomas nelson page metre hayden preskill protocol young old black muddle appearance void formation also responsible transfer information fateful cakehole radiation speculation void formation may provide microscopic explanation recent semi classical prescription including island deliberation entanglement entropy radiation
12
769,074
[ 2, 1602, 1112, 6255, 1684, 406, 5182, 7676, 8507, 4548, 118, 211, 1196, 3850, 3456, 314, 3673, 2308, 6809, 2463, 1316, 6255, 1684, 1376, 1362, 1027, 3045, 1873, 5310, 15986, 5943, 1109, 5246, 1057, 13621, 1258, 1762, 3306, 6255, 1684, 2533, 2592, 1210, 406, 314, 7700, 1397, 902, 51, 5504, 2463, 7676, 455, 8876, 362, 223, 6255, 1684, 249, 1004, 1602, 983, 901, 1085, 1161, 1196, 250, 1305, 459, 2971, 406, 5182, 973, 12043, 17245, 3306, 250, 3344, 941, 1632, 338, 1191, 401, 1121, 1085, 15940, 103, 1161, 1196, 2675, 571, 5064, 1085, 941, 401, 8851, 571, 840, 6255, 1684, 2851, 1602, 455, 941, 1632, 5320, 61, 4588, 4789, 1161, 1464, 3344, 8421, 1564, 7896, 455, 455, 5392, 4297, 5811, 8079, 1452, 290, 680, 508, 1602, 3017, 10298, 18043, 6255, 18773, 14937, 2290, 863, 8100, 7270, 2237, 4332, 5541, 1161, 19760, 4377, 4441, 8421, 1564, 364, 4995, 1293, 545, 10866, 789, 3517, 526, 6100, 2463, 17740, 8421, 1564, 853, 693, 4058, 2961, 644, 2057, 1070, 7917, 995, 7554, 13280, 75, 2308, 1612, 2463, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
class distributed event triggered average consensus algorithm multi agent system paper proposes class distributed event triggered algorithm solve average consensus problem multi agent system designing event specifically chosen lyapunov function monotonically decreasing event triggered algorithm succeed reducing communication among agent still ensuring entire system converges desired state however depending chosen lyapunov function transient behavior different moreover performance requirement also vary application application consequently instead interested considering class lyapunov function lyapunov function produce different event triggered coordination algorithm solve multi agent average consensus problem proposed class algorithm guarantee exponential convergence resulting system exclusion zeno behavior allows u easily implement different algorithm guarantee correctness meet varying performance need show finding applied practical clock synchronization problem wireless sensor network wsns corroborate effectiveness simulation result
1
541,250
[ 2, 463, 1600, 1170, 6761, 1611, 4422, 349, 329, 1145, 214, 362, 3259, 463, 1600, 1170, 6761, 349, 1925, 1611, 4422, 304, 329, 1145, 214, 3918, 1170, 1855, 3966, 4997, 327, 10215, 5246, 1170, 6761, 349, 9151, 3390, 1313, 1509, 1145, 1923, 6304, 3487, 214, 4249, 3547, 314, 627, 3054, 3966, 4997, 327, 3588, 1017, 467, 1415, 473, 2404, 364, 2195, 542, 542, 4466, 2464, 6011, 2462, 463, 4997, 327, 4997, 327, 1990, 467, 1170, 6761, 5757, 349, 1925, 329, 1145, 1611, 4422, 304, 459, 463, 349, 2190, 2488, 1298, 1748, 214, 7769, 15032, 1017, 1191, 25, 3112, 1795, 467, 349, 2190, 7186, 5084, 2566, 473, 1142, 223, 1545, 1261, 2065, 5385, 4829, 304, 2827, 1972, 256, 19813, 9581, 2059, 679, 249, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
algorithmic approach cosmological coherent state expectation value lqg lattice approach loop quantum sombreness fixed graph computation tend involved rarely analytically manageable interested expectation value coherent state grille sharply top isotropic flat cosmology several simplification possible reduce computational exploit present step dance step algorithm leave analytical aspect including first order correction spread state algorithm developed way make reckoning straightforward easy implementable programming language mathematica exemplarily demonstrate algorithmic rule streamlines route find expectation value euclidean part scalar constraint body mark perform analytic computation well showcase coating algorithm investigate fate effect dynamical course study custom curl cosmology happen following starring order correction used correction effective hamiltonian
11
211,005
[ 2, 3930, 338, 2485, 2609, 314, 3548, 730, 11582, 1276, 338, 1984, 406, 9324, 4573, 691, 1650, 471, 1189, 3325, 4242, 7860, 4147, 19512, 6011, 3548, 730, 2609, 314, 9259, 7270, 38, 13341, 653, 4518, 2546, 4177, 876, 9038, 1117, 2068, 1259, 2208, 415, 1228, 14158, 1228, 349, 8002, 2428, 2346, 995, 499, 452, 2303, 2853, 314, 349, 1502, 1024, 1225, 251, 13091, 1999, 5419, 3798, 14614, 2710, 1146, 16880, 12617, 1141, 717, 3930, 2046, 18131, 32, 4732, 696, 3548, 730, 3597, 1229, 1631, 986, 1577, 1280, 347, 2354, 1189, 529, 7578, 9622, 349, 1190, 10866, 610, 1602, 5293, 352, 3593, 14200, 4177, 9931, 2401, 18575, 70, 452, 2303, 522, 2303, 1013, 2001, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
implication prex information neutrino electron scattering dense matter propel late measurement neutron dispersion pb prex data study effect new parameter set tighten prex data electron neutrino scattering dense matter using extended relativistic mean field rmf good example use gm argument set describe atomic matter par state obtained gm argument set excellent agreement data based data analyze differential cross incision electron neutrino negatron neutrino mean free path observe sensitiveness gm argument set regain differential cross incision electron neutrino different baryon density higher value compared obtained tme fsu garnet parameter set higher cross section decrement electron neutrino mean free path
14
957,699
[ 2, 3041, 519, 48, 545, 2018, 1149, 1661, 2637, 1074, 1519, 73, 4482, 852, 2185, 3174, 3727, 519, 48, 233, 352, 610, 385, 481, 376, 3342, 62, 519, 48, 233, 1149, 2018, 1661, 2637, 1074, 291, 1979, 2662, 823, 381, 6136, 52, 1860, 848, 508, 6396, 3306, 376, 1734, 2671, 1074, 165, 314, 970, 6396, 3306, 376, 4254, 2626, 233, 250, 233, 1849, 1493, 1202, 317, 603, 1149, 2018, 1554, 18624, 2018, 823, 965, 1324, 2638, 2607, 691, 6396, 3306, 376, 356, 177, 1493, 1202, 317, 603, 1149, 2018, 467, 3941, 784, 1084, 730, 985, 970, 5057, 38, 15528, 45, 15829, 481, 376, 1084, 1202, 2524, 2331, 190, 1149, 2018, 823, 965, 1324, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
three fold formula noncommutative transport distance article written report noncommutative transport distance introduced carlen maas entropic regularization define becker li prove wave particle duality chemical formula understood quantum version threefold benamou brenier preparation wasserstein distance term subsolutions hamilton karl gustav jacob jacobi bellmann equation
8
692,655
[ 2, 776, 4088, 1729, 6006, 1538, 1193, 2063, 5056, 1439, 6006, 1538, 1193, 1847, 884, 4295, 157, 82, 7663, 2823, 2560, 1413, 3860, 613, 900, 713, 836, 3570, 2531, 1729, 4001, 406, 1904, 12192, 5819, 113, 108, 1763, 10864, 7163, 5072, 1193, 612, 1738, 296, 32, 7177, 9061, 43, 1076, 17036, 46, 4303, 5483, 9836, 39, 552, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
nnv neural network verification tool deep neural network learning enabled cyber physical system paper present neural network verification nnv software tool set based verification framework deep neural network dnns learning enabled cyber physical system cps crux nnv collection reachability algorithm make use variety set representation polyhedron star set zonotopes abstract domain representation nnv support exact sound complete approximate sound reachability algorithm verifying safety robustness property feed forward neural network ffnns various activation function learning enabled cps closed loop control system incorporating neural network nnv provides exact approximate reachability analysis scheme linear plant model ffnn controller piecewise linear activation function relus similar neural network control system nncs instead nonlinear plant model nnv support approximate analysis combining star set analysis used ffnn controller zonotope based analysis nonlinear plant dynamic building cora evaluate nnv using two real world case study first safety verification acas xu network second deal safety verification deep learning based adaptive cruise control system
3
146,919
[ 2, 4651, 46, 549, 256, 3645, 1242, 562, 549, 256, 285, 4446, 4272, 1347, 214, 362, 415, 549, 256, 3645, 4651, 46, 2255, 1242, 376, 250, 3645, 609, 562, 549, 256, 4257, 285, 4446, 4272, 1347, 214, 8895, 14175, 48, 4651, 46, 3027, 8327, 349, 1225, 508, 1683, 376, 748, 10372, 706, 376, 17571, 6946, 4123, 749, 748, 4651, 46, 1393, 1487, 3162, 1878, 2148, 3162, 8327, 349, 8811, 3238, 2066, 559, 1962, 2699, 549, 256, 8669, 3764, 1002, 3617, 327, 285, 4446, 8895, 2064, 1984, 561, 214, 4366, 549, 256, 4651, 46, 1220, 1487, 2148, 8327, 494, 903, 617, 5365, 142, 8669, 882, 2854, 5760, 617, 3617, 327, 6911, 32, 960, 549, 256, 561, 214, 4651, 3256, 2464, 1144, 5365, 142, 4651, 46, 1393, 2148, 494, 2855, 706, 376, 494, 522, 8669, 882, 2854, 17571, 1647, 250, 494, 1144, 5365, 565, 2540, 358, 42, 1802, 4651, 46, 291, 312, 495, 1258, 516, 352, 499, 3238, 3645, 181, 82, 16757, 256, 937, 2951, 3238, 3645, 562, 285, 250, 1917, 16882, 561, 214, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
four card monte carlo rating continuum bound point function euclidean liberal real scalar force field subject affinal quantisation study canonical affine version quantize covariant euclidean devoid real scalar battleground hypothesis four dimensional lattice four card monte carlo method acting acting calculate two spot social occasion small economic value bare coupling ceaseless near continuum limitation finite book
19
464,610
[ 2, 1249, 4973, 2545, 2565, 7059, 3269, 451, 563, 327, 3597, 18533, 61, 495, 1631, 2058, 381, 2315, 1383, 1203, 14914, 352, 3173, 3552, 1904, 15979, 5938, 3597, 1032, 1336, 495, 1631, 17963, 1716, 2765, 1249, 673, 1276, 1249, 4973, 2545, 2565, 210, 5136, 5136, 2967, 312, 5310, 1794, 11998, 762, 4252, 730, 10205, 1183, 19453, 2112, 1027, 3269, 2753, 834, 6967, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
interaction localized vegetation patch opening ho restrain environment close decisive point associated nascent bistability big wavelength pattern forming regime lifshitz point dynamic many ecological spatially extended system reduced simple partial differential equation frail gradient approximation greatly useful investigation localize vegetation patch gap part present general derivation mere botany model without specification shape kernel used describe facilitative competitive interaction someone plant coefficient obtained model depend choice form kernel thoughtfulness based simple vegetation model focus gap darn fundamental interaction case gap interaction alternate attractive repulsive calculate distance separating gap allows stabilization ricochet land cluster gap however case localised dapple interaction always repulsive previous case bounded body politic patch excluded analytical formula interaction potential derived review type interaction hold back numerical probe model equation
12
772,120
[ 2, 719, 3510, 14061, 4136, 6704, 4738, 1620, 263, 1028, 2247, 14277, 563, 1187, 17648, 14911, 3315, 3110, 1412, 3903, 1526, 9335, 563, 565, 731, 10322, 3689, 1979, 214, 2104, 1004, 2170, 1493, 552, 3467, 116, 1154, 1056, 4656, 2094, 3111, 9264, 14061, 4136, 1571, 1229, 415, 421, 4125, 14249, 8461, 17713, 142, 973, 4547, 1761, 1858, 522, 1734, 3088, 342, 3323, 719, 4746, 1139, 5365, 1624, 970, 142, 626, 2273, 337, 1858, 5987, 789, 691, 250, 1004, 14061, 142, 1102, 1571, 7569, 39, 1708, 719, 516, 1571, 719, 9262, 4825, 7181, 2967, 1193, 7416, 1571, 1191, 6077, 4512, 905, 77, 2382, 878, 1571, 627, 516, 11160, 3735, 11083, 80, 719, 3176, 7181, 912, 516, 2010, 1577, 19633, 4136, 9375, 2428, 1729, 719, 801, 1712, 1977, 654, 719, 2660, 1057, 869, 2634, 142, 552, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
riesz basis criterion schrodinger operator boundary condition dependent eigenvalue parameter establish criterion set eigenfunctions one dimensional schrodinger operator distributional potential boundary condition containing eigenvalue parameter riesz basis
1
527,996
[ 2, 9967, 2272, 2437, 3629, 941, 1107, 587, 1521, 2672, 481, 1227, 2437, 376, 6870, 401, 673, 3629, 941, 6407, 801, 1107, 587, 3438, 2672, 481, 9967, 2272, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
correcting escape get go sid silicon tungsten ecal dominant contribution ecal resolution gamy push eg gev come leakage beyond containment calorimeter study leak energy sid atomic number tungsten ecal developed neural network algorithm estimating leak muscularity correcting energy measurement sid tdr invention call thin mm layer watch thick mm tungsten layer investigated impact escape energy reduced number layer ability optimized neutral network analysis correct leakage reduced number stratum reduce corporeal thickness reduce layer number motivated cost containment
17
311,640
[ 2, 7549, 6126, 3195, 902, 9040, 4347, 13365, 1966, 61, 3986, 1688, 1966, 61, 1378, 1279, 50, 5456, 1454, 3598, 3543, 6188, 2173, 10998, 10930, 352, 4761, 470, 9040, 2671, 486, 13365, 1966, 61, 1502, 549, 256, 349, 3262, 4761, 3161, 15338, 4457, 7549, 470, 852, 9040, 5460, 34, 19103, 1052, 2840, 2875, 975, 15729, 3407, 2875, 13365, 975, 2497, 1485, 6126, 470, 2104, 486, 975, 2182, 3454, 3856, 256, 494, 2510, 6188, 2104, 486, 10995, 2068, 14189, 38, 61, 4533, 2068, 975, 486, 2808, 1103, 10998, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
lookup shadow sphere physic na experiment context physic beyond collider project na electron beam program comprises high sensitivity search visible invisible decay hypothetical shadow photon goal either observe sub gev dark matter mediator leave simulation parameter space visible channel search also includes clarification origin anomaly watch atomki experiment na collaboration aim expand search proposal use muon beam cern beam note focus unique possibility search new scalar transmitter state weakly pair predominantly muon eg new gage boson symmetry might explain long standing muon anomaly also include search transmitter mediator dark matter production within conventional beam working group physic beyond collider pbc study various project muon beamline cern north area aim different experimental essential various technological feasibility study perform group presented together combined result na electron ray light run succeeding plan muon proposal planned lookup
17
397,712
[ 2, 15019, 5500, 3018, 1422, 3679, 427, 1115, 1422, 2173, 4296, 2487, 3679, 1149, 1786, 1349, 8261, 298, 2307, 1106, 4670, 10519, 1552, 10134, 5500, 1658, 1985, 1896, 2638, 389, 3598, 1397, 1074, 9453, 8002, 679, 481, 410, 4670, 1062, 1106, 364, 2976, 17662, 2093, 2595, 15729, 1369, 8100, 427, 3679, 4552, 1484, 3681, 1106, 3765, 508, 4795, 1786, 10214, 1786, 3089, 1102, 2326, 2851, 1106, 385, 1631, 6574, 314, 3313, 1140, 9369, 4795, 1454, 385, 2756, 112, 2986, 1078, 3107, 1668, 891, 5763, 4795, 2595, 364, 2373, 1106, 6574, 9453, 1397, 1074, 2155, 992, 2172, 1786, 4442, 657, 1422, 2173, 4296, 3727, 33, 352, 1002, 2487, 4795, 18970, 10214, 6488, 1589, 1484, 467, 982, 2691, 1002, 6545, 4380, 352, 347, 657, 1588, 2556, 2500, 249, 3679, 1149, 1245, 1003, 1769, 9151, 70, 1358, 4795, 3765, 9246, 15019, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
strong sum projection type factor let type factor let faithful positive semifinite normal trace unique scalar multiple type case normalized type case given denote excess part defect part kaftal ng zhang provided necessary sufficient condition positive operator sum finite infinite collection projection necessarily mutually orthogonal type type factor type factor kaftal ng zhang proved necessary condition operator written sum finite infinite collection projection also sufficient operator diagonalizable paper prove written sum finite infinite collection projection result answer affirmatively question raised kaftal ng zhang
1
514,546
[ 2, 788, 1327, 2801, 654, 955, 2122, 654, 955, 2122, 7168, 1629, 14941, 6756, 1379, 1572, 3158, 2326, 1631, 849, 654, 516, 5067, 654, 516, 812, 6871, 4546, 1229, 2938, 1229, 7190, 566, 61, 10440, 9234, 2082, 2446, 1883, 587, 1629, 941, 1327, 834, 2149, 3027, 2801, 4831, 8015, 3099, 654, 654, 955, 654, 955, 7190, 566, 61, 10440, 9234, 3145, 2446, 587, 941, 5056, 1327, 834, 2149, 3027, 2801, 364, 1883, 941, 19019, 362, 900, 5056, 1327, 834, 2149, 3027, 2801, 249, 2874, 12919, 97, 1408, 8388, 7190, 566, 61, 10440, 9234, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
approximate quantum non demolition measurement advent gravitative wave sensing element apply squeezed light quantum waveform estimation estimate meter dependent signal mean quantum mechanically skillful investigation increasing importance considerably known backaction quantum measurement limit preciseness waveform estimated though limit rule master quantum nondemolition qnd measurement setup find literature strictly speaking implementation would require infinite energy mathematical verbal description involves hamiltonians unbounded raise question well one may approximate nondemolition setup finite energy finite dimensional fruition consider finite dimensional waveform approximation setup free base quasi ideal clock show approximation misplay due approximating qnd condition decrease tardily power law increasing dimension result find good qnd approximation require large energy dimensionality argue effect expected hold setup based truncate oscillator whirl organisation
8
660,268
[ 2, 2148, 406, 278, 13298, 2117, 63, 852, 9334, 1535, 342, 713, 2835, 1241, 1780, 8313, 1003, 406, 4816, 1083, 999, 7838, 1521, 901, 823, 406, 12175, 5013, 789, 3111, 1660, 2420, 5996, 886, 1057, 420, 406, 852, 625, 3235, 691, 4816, 2923, 3087, 625, 2046, 5645, 406, 8009, 96, 8236, 63, 11284, 40, 852, 3405, 696, 1810, 5036, 9964, 1797, 2274, 2115, 2149, 470, 2657, 14454, 2045, 3806, 5317, 5590, 6674, 1408, 529, 401, 853, 2148, 8009, 96, 8236, 63, 3405, 834, 470, 834, 673, 10907, 287, 520, 834, 673, 4816, 1056, 3405, 965, 2533, 2119, 2653, 5385, 223, 1056, 2015, 2557, 824, 5728, 11284, 40, 587, 2957, 13727, 176, 97, 716, 1746, 1660, 443, 249, 696, 1860, 11284, 40, 1056, 2115, 506, 470, 4130, 3475, 610, 1945, 2660, 3405, 250, 4342, 103, 3636, 787, 151, 43, 12925, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
possibility lorentz violation higgs sector string theory scalar field often appears modulus geometrical configuration branes higher dimensional space low energy effective theory branes distance branes translated energy scale gauge symmetry breaking paper study phenomenological consequence possibility higgs field modulus field brane configuration stabilized stationary motion particular revolution branes live due coriolis force higgs mode mixed angular fluctuation branes lorentz symmetry violated dispersion relation higgs boson higgs boson mass measurement lhc experiment give upper bound gev angular frequency revolution branes
9
1,581,582
[ 2, 2851, 4288, 4072, 3130, 3364, 2470, 476, 1631, 381, 1429, 4181, 3549, 5341, 1932, 8591, 1084, 673, 410, 485, 470, 1013, 476, 8591, 1193, 8591, 9756, 470, 680, 2036, 1078, 3116, 362, 352, 5973, 2736, 2851, 3130, 381, 3549, 381, 6520, 1932, 7966, 2794, 1367, 756, 7806, 8591, 7006, 824, 18039, 2058, 3130, 1082, 2519, 2669, 2160, 8591, 4288, 1078, 9761, 3174, 893, 3130, 2986, 3130, 2986, 669, 852, 3599, 427, 1041, 2054, 451, 3598, 2669, 1029, 7806, 8591, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
ro resource constrained oracle deductive reasoning quantum information processing system nowadays altogether automatic synthesis framework prophet function central part many quantum algorithmic rule aim framework resource constrained oracle synthesis ro lut based hierarchal method every footmark specifically tailored address computer hardware resource constraint ro embeds lut mapper project simplify sequent deductive reasoning step costing lut harmonise resource expend corresponding quantum circuit addition fabric exploit sat base quantum garbage management proficiency two characteristic give ro ability beat state artwork hierarchical method acting number qubits number cognitive process efficiency framework demo synthesize quantum oracle grovers algorithm
13
1,205,438
[ 2, 1637, 1655, 2421, 5413, 18724, 3560, 406, 545, 1567, 214, 8054, 12569, 1816, 2994, 609, 19255, 327, 1905, 1229, 731, 406, 3930, 2046, 1484, 609, 1655, 2421, 5413, 2994, 1637, 10274, 250, 2087, 61, 210, 1933, 5527, 1401, 1855, 5916, 1260, 2003, 2813, 1655, 986, 1637, 11652, 10274, 16646, 2487, 8102, 18083, 18724, 3560, 1228, 1103, 70, 10274, 14985, 491, 1655, 15382, 1309, 406, 2453, 827, 5791, 2208, 2275, 2533, 406, 7640, 5640, 112, 3352, 1777, 1302, 312, 1548, 1041, 1637, 2182, 8738, 314, 930, 192, 2850, 210, 5136, 486, 4266, 486, 4925, 455, 1370, 609, 13298, 7257, 406, 5413, 18674, 32, 349, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
measurement lifetime state atomic cesium using asynchronous gated detection report measurement lifetime cesium state using time correlated single photon counting spectroscopy vapor cell excite atom using doppler free two photon transition ground state detect photon spontaneous decay state use gated single photon detector asynchronous mode allowing u capture fluorescence profile window much larger detector gate length analysis exponential decay photon count yield lifetime n uncertainty measurement provide sensitive test theoretical model c atom play central role parity violation measurement
2
1,368,644
[ 2, 852, 4413, 314, 2671, 18589, 291, 6053, 8198, 791, 1439, 852, 4413, 18589, 314, 291, 290, 2842, 782, 1658, 4183, 2999, 7766, 1395, 13898, 1369, 291, 7035, 965, 312, 1658, 908, 1636, 314, 2106, 1658, 4063, 1552, 314, 508, 8198, 782, 1658, 1787, 6053, 1082, 2936, 25, 2052, 7079, 2379, 4029, 1804, 2076, 1787, 3217, 1698, 494, 2488, 1552, 1658, 2527, 1718, 4413, 18, 1451, 852, 693, 2607, 821, 1238, 142, 7, 1369, 1973, 1905, 1574, 4258, 4072, 852, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
price volatility second order economic theory introduce price probability measure etapt defines beggarly price pt mean square price pt price volatility sigmaptand price th statistical moment pnt ratio sum atomic number stage value cnt volume unt grocery trade aggregated certain meter interval delta definition bastardly price pt coincides definition volume slant average price vwap introduced least class ago show damage volatility sigmapt forecasting requires modeling evolution sum degree value ct volume ut call model second order economic possibility use numerical continuous risk rating ground risk assessment economic agent distribute broker risk evaluation coordinate introduce continuous economic medium approximation square value volume agent trade stream aggregated time interval delta adopt account expectation govern factor trade wind introduce aggregated expectation alike aggregated trade derive equation continuous economic medium approximation second degree trade analogue approximation derive mean square price platinum unpredictability sigmapt affray function first second degree trade perturbation description next th toll statistical moment pnt regard unit price measure etapt depends sum th degree value cnt bulk unt market trade hence requires development corresponding th order economic theory
15
1,123,856
[ 2, 3377, 6085, 937, 452, 4252, 476, 1077, 3377, 1158, 949, 12509, 518, 6752, 4051, 4462, 11055, 50, 3377, 4797, 823, 2187, 3377, 4797, 3377, 6085, 6131, 518, 193, 3377, 149, 1558, 1147, 6148, 36, 1467, 1327, 2671, 486, 2031, 730, 15447, 2116, 9642, 405, 11577, 50, 2798, 7351, 1452, 7838, 2743, 5944, 3017, 202, 3477, 18666, 97, 3377, 4797, 7093, 3017, 2116, 1450, 150, 1611, 3377, 26, 6974, 44, 1847, 2100, 463, 8094, 223, 5827, 6085, 6131, 518, 3724, 2007, 1490, 1085, 1327, 1402, 730, 3276, 2116, 4886, 1052, 142, 937, 452, 4252, 2851, 508, 869, 1335, 1965, 7059, 1636, 1965, 3468, 4252, 1145, 12654, 17842, 1965, 1448, 2972, 1077, 1335, 4252, 1865, 1056, 2187, 730, 2116, 1145, 2798, 2481, 7351, 290, 2743, 5944, 5170, 1948, 3548, 3847, 955, 2798, 2242, 1077, 7351, 3548, 13810, 7351, 2798, 1527, 552, 1335, 4252, 1865, 1056, 937, 1402, 2798, 4196, 1056, 1527, 823, 2187, 3377, 2067, 60, 109, 11254, 367, 6131, 518, 1383, 2261, 327, 499, 937, 1402, 2798, 1723, 2045, 2432, 149, 17391, 1558, 1147, 6148, 36, 2475, 1436, 3377, 949, 12509, 518, 2696, 1327, 149, 1402, 730, 15447, 2564, 9642, 2766, 2798, 2648, 2007, 1642, 1309, 149, 452, 4252, 476, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
quantum hie limit time relativistic frame investigate role relativistic event speed phylogeny quantum system couple amplitude damping communication channel find relativistic effect number quantum organic evolution uniform evolution speed open quantum organization damping parameter point non monotonic behavior quantum speed limit metre qslt acceleration dampen demarcation relativistic force first speed slow quantum evolution cognitive operation damped system damping strength observe monotonic increasing behavior qslt direct slow quantum evolution damped system addition examine role relativistic force focal ratio limit time system couple phase damping channel
13
1,245,513
[ 2, 406, 5897, 38, 625, 290, 2662, 534, 1190, 1574, 2662, 1170, 1691, 9681, 15595, 406, 214, 5552, 2233, 5166, 1313, 1062, 696, 2662, 610, 486, 406, 5768, 1085, 1888, 1085, 1691, 1090, 406, 4770, 5166, 481, 563, 278, 5102, 1017, 406, 1691, 625, 18773, 15880, 36, 3339, 17701, 62, 465, 14159, 75, 2662, 2058, 499, 1691, 2563, 406, 1085, 4925, 1837, 8586, 214, 5166, 2126, 2638, 5102, 1660, 1017, 15880, 36, 1108, 2563, 406, 1085, 8586, 214, 827, 3307, 1574, 2662, 2058, 8339, 1467, 625, 290, 214, 5552, 584, 5166, 1062, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
lifting eisenhart duval lift minimal brane motion dynamical system dimensional configuration space may regarded lightlike shadow null geodsics moving dimensional spacetime known einsenhart duval lift paper shown configuration space dimensional euclidean space absence magnetic type force eisenhart duval lift may regarded brane moving flat dimensional space two time eisenhart duval lift ricci flat brane move way extremise spacetime volume striking example provided motion point particle moving three dimensional euclidean space influence mutual gravitational attraction embeddings curved configuration space metric velocity dependent force also constructed issue arising two time addressed
9
1,581,178
[ 2, 8515, 10972, 19476, 1908, 5278, 1330, 6920, 2169, 6520, 1367, 1602, 214, 673, 1932, 410, 853, 6833, 1003, 3310, 5500, 4040, 10468, 4091, 2785, 3354, 673, 3426, 886, 15740, 2758, 19476, 1908, 5278, 1330, 6920, 362, 1186, 1932, 410, 673, 3597, 410, 3864, 826, 654, 2058, 10972, 19476, 1908, 5278, 1330, 6920, 853, 6833, 6520, 3354, 2546, 673, 410, 312, 290, 10972, 19476, 1908, 5278, 1330, 6920, 5857, 2546, 6520, 4326, 1024, 2742, 491, 3426, 2116, 7557, 848, 2082, 1367, 563, 836, 3354, 776, 673, 3597, 410, 2368, 3959, 1751, 7958, 2763, 5596, 1932, 410, 1093, 1621, 1521, 2058, 364, 2776, 1737, 3659, 312, 290, 4865, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
systematics alma proposal review ranking result alma proposal peer review process cycle analyzed identify systematics scientific ranking may signify bias proposal ranking analyzed respect experience level principal investigator pi submitting alma proposal regional affiliation chile east asia europe north america gender analysis conducted stage ranking based preliminary score reviewer stage ranking based final score reviewer participating face face panel discussion analysis stage result show pi submit alma proposal multiple cycle systematically better proposal rank pi submitted proposal first time term regional affiliation pi europe north america better stage ranking pi chile east asia consistent lonsdale et al proposal led men better stage ranking woman averaged cycle trend noticeably present cycle discernible difference stage ranking present recent cycle nonetheless cycle date woman lower proposal acceptance rate men even difference demographic considered comparison stage stage ranking reveal significant change distribution proposal rank experience level regional affiliation gender result panel discussion although proposal rank east asian pi show marginally significant improvement stage stage averaged cycle thus systematics proposal ranking introduced primarily stage process face face discussion
2
1,500,014
[ 2, 10776, 6496, 3765, 1977, 4082, 249, 6496, 3765, 5942, 1977, 455, 2371, 3273, 1678, 10776, 3372, 4082, 853, 416, 2451, 1736, 3765, 4082, 3273, 1785, 3401, 712, 3893, 19414, 3479, 9225, 133, 6496, 3765, 8142, 19294, 18174, 9879, 548, 2323, 12200, 6488, 16336, 5833, 494, 3341, 2031, 4082, 250, 5260, 2347, 15864, 2031, 4082, 250, 2811, 2347, 15864, 10577, 2385, 2385, 9062, 4139, 494, 2031, 249, 223, 3479, 9225, 6496, 3765, 849, 2371, 4489, 1251, 3765, 1850, 3479, 10529, 3765, 499, 290, 612, 8142, 19294, 3479, 12200, 6488, 16336, 1251, 2031, 4082, 3479, 18174, 9879, 548, 2323, 1460, 16122, 5342, 2168, 1623, 128, 3765, 4294, 9909, 1251, 2031, 4082, 9665, 5172, 2371, 3520, 17916, 415, 2371, 13112, 1310, 1608, 2031, 4082, 415, 644, 2371, 9194, 2371, 4669, 9665, 1262, 3765, 8241, 687, 9909, 1040, 1608, 7414, 1657, 1848, 2031, 2031, 4082, 1605, 779, 1173, 555, 3765, 1850, 3401, 712, 8142, 19294, 5833, 249, 9062, 4139, 2302, 3765, 1850, 9879, 17010, 3479, 223, 10873, 779, 1760, 2031, 2031, 5172, 2371, 1214, 10776, 3765, 4082, 1847, 5584, 2031, 455, 2385, 2385, 4139, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
probing guk precision higgs physic propose novel approach questioning grand unification precise measurement higgs yukawa coupling lhc idea well wanting appearance effective operator suppressed mass scale unification realistic model facto minimal structure yukawa increasing operator allow higgs yukawa coupling correlated pattern scale hold higher order correction coherence reveal feature deviation tau yukawa coupling relative product better value weak scaled largest one among third generation yukawa coupling feature verified regarding lhc serve hint unification
17
354,914
[ 2, 5328, 1076, 41, 2235, 3130, 1422, 537, 758, 338, 1408, 70, 7811, 9923, 3235, 852, 3130, 8133, 1183, 3599, 2399, 529, 6850, 70, 4441, 1013, 941, 5811, 669, 680, 9923, 2640, 142, 14533, 2169, 497, 8133, 1660, 941, 735, 3130, 8133, 1183, 2842, 1412, 680, 2660, 1084, 452, 2303, 3684, 1605, 571, 3279, 6578, 8133, 1183, 1946, 1568, 1251, 730, 1207, 6248, 4085, 401, 1509, 3065, 1356, 8133, 1183, 571, 4880, 3880, 3599, 4335, 7971, 9923, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
comparison amputee able personify inter open variability myoelectric control despite decade research development pattern recognition approach clinical usability myoelectriccontrolled prosthesis notwithstanding limited one main issue high inter capable variability necessitates long frequent user specific training cross user model present opportunity better clinical viability myoelectric control system leveraging existing data shorten take aim however referable difficulty obtaining large set data amputee universe data intact limbed subject often append building cross substance abuser model may translate well clinical usability preliminary study difference intact limbed amputee cross user electromyography emg pattern canvas previously collected emg data intact limbed amputee subject different wrist finger grasping gesture analysed result using unsupervised clustering showed amputee consistently grouped different cluster entire limbed subject additional clustering subgroup found larger remainder amputee able bodied bodied capable furthermore mere linear classifier able discriminate able incarnate amputee subject expend emg multiple motion accuracy result suggest using able bodied bodied subject data point alone may insufficient capture necessary inter subject variance designing cross user myoelectric control system prosthesis control
3
104,434
[ 2, 1848, 11211, 1340, 38, 1728, 2588, 2451, 206, 1090, 3721, 4495, 5191, 561, 2601, 3663, 952, 1642, 1412, 1745, 338, 3288, 9422, 4495, 5191, 4227, 4750, 3845, 64, 18813, 3506, 11889, 6594, 1676, 401, 925, 1737, 298, 206, 3194, 3721, 12772, 891, 7431, 881, 1255, 660, 1202, 881, 142, 415, 3711, 1251, 3288, 9499, 4495, 5191, 561, 214, 3924, 936, 233, 1491, 62, 1884, 1484, 627, 3344, 195, 3585, 4383, 506, 376, 233, 11211, 1340, 38, 2690, 233, 13782, 10630, 64, 2315, 1429, 7055, 39, 40, 2540, 1202, 13687, 15987, 34, 142, 853, 8161, 529, 3288, 9422, 5260, 352, 1608, 13782, 10630, 64, 11211, 1340, 38, 1202, 881, 2844, 50, 2873, 15206, 1412, 2774, 6665, 32, 2240, 3362, 15206, 233, 13782, 10630, 64, 11211, 1340, 38, 2315, 467, 17325, 5348, 9574, 7441, 7003, 249, 291, 2567, 2108, 3568, 11211, 1340, 38, 4408, 11674, 467, 878, 3487, 10630, 64, 2315, 1854, 2108, 3740, 1088, 2076, 12491, 11211, 1340, 38, 1728, 19371, 524, 19371, 524, 3194, 1518, 14249, 617, 2177, 1728, 8967, 1728, 317, 19036, 103, 11211, 1340, 38, 2315, 15382, 15206, 849, 1367, 865, 249, 1503, 291, 1728, 19371, 524, 19371, 524, 2315, 233, 563, 5236, 853, 6978, 2052, 2446, 206, 2315, 2726, 3918, 1202, 881, 4495, 5191, 561, 214, 18813, 561, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
observation vanishing charge dispersion nearly open superconducting island isolation environment determines extent charge confined island manifest coulomb oscillation charge dispersion investigate charge dispersion nanowire transmon hosting quantum dot junction observe rapid suppression charge dispersion increasing junction transparency consistent predicted scaling law incorporates two branch josephson potential find improved qubit coherence time point highest suppression suggesting novel approach building charge insensitive qubits
13
1,259,588
[ 2, 972, 4127, 1682, 3174, 3532, 1090, 3070, 7554, 7097, 1028, 5497, 4433, 1682, 5065, 7554, 5096, 4577, 2730, 1682, 3174, 1190, 1682, 3174, 8407, 15347, 9280, 406, 4463, 4443, 2638, 2522, 5323, 1682, 3174, 1660, 4443, 6882, 1460, 2806, 2147, 1746, 5622, 312, 3461, 6732, 801, 696, 2023, 2616, 3684, 290, 563, 4507, 5323, 4853, 758, 338, 2540, 1682, 8710, 4266, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
umami chaplygin model work study detail phenomenological generalization chaplygin cosmological model call textitumami chaplygin model consider three different cosmological background scenario fluid play three different role dark energy component dark matter dark energy component dark plus baryonic matter dark energy component analysis explore possibility unify dark fluid one single component within context general relativity test hypothesis main available data related cosmological background namely type ia supernova baryon acoustic oscillation quasar gamma ray burst hubble data cosmic chronometer cosmic microwave background eventually compare statistically efficiency reliability model describe observational data respect standard cdm model mean bayesian evidence final result point positive albeit strong evidence favor possible unification dark energy dark matter textitumami fluid
10
1,511,739
[ 2, 6577, 7800, 6641, 97, 15694, 142, 431, 352, 1639, 5973, 1781, 6641, 97, 15694, 2485, 142, 1052, 4278, 16774, 14690, 6641, 97, 15694, 142, 520, 776, 467, 2485, 1919, 1296, 2130, 1973, 776, 467, 1574, 1397, 470, 1071, 1397, 1074, 1397, 470, 1071, 1397, 5504, 8588, 1074, 1397, 470, 1071, 494, 1989, 2851, 10716, 1397, 2130, 401, 782, 1071, 992, 1115, 421, 4260, 821, 2765, 925, 1192, 233, 1264, 2485, 1919, 2511, 654, 5790, 3685, 3941, 3023, 2730, 5245, 3267, 1245, 4150, 5083, 233, 2689, 12074, 3805, 2689, 4219, 1919, 5888, 1845, 5273, 1370, 4003, 142, 1734, 3736, 233, 1785, 974, 5982, 142, 823, 1920, 2188, 2811, 249, 563, 1629, 9471, 788, 2188, 4561, 1117, 9923, 1397, 470, 1397, 1074, 4278, 16774, 14690, 2130, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
deciphering distribution ultrarelativistic heavy ion collision within perturbative qcd develop new picture parton shower bath beget jet spread impenetrable quark gluon plasma picture combine simpleton factorised way multiple medium induced parton furcate standard vacuum comparable discharge phase space latter constrained presence medium implement picture three card monte carlo generator use study two phenomenologically important observables jet atomic modification factor dispersion reflecting jet substructure pillow slip outcome monte carlo simulation good agreement lhc measurement provide basic analytic calculation help explain main feature observe data observe energy loss reverse lightning increasing jet transverse impulse due ascending numeral partonic source via vacuum like emission key element description distribution latter key two main nuclear effect incoherent jet energy passing punishing metier induced emission jet transverse impulse increase predict qualitative change ratio distribution pbpb pp collision increasing little proportion becomes essentially flat even slightly decreasing
14
977,373
[ 2, 13999, 6203, 70, 555, 17072, 2476, 1710, 1881, 992, 4011, 3072, 578, 385, 4199, 5905, 7587, 5453, 4051, 77, 2580, 2853, 927, 3508, 4401, 2269, 4679, 2574, 4199, 2606, 1004, 1042, 955, 879, 1024, 849, 1865, 1627, 5905, 1466, 14872, 38, 974, 2969, 3102, 8882, 584, 410, 2679, 2421, 1591, 1865, 1795, 4199, 776, 4973, 2545, 2565, 2896, 508, 352, 312, 14894, 994, 3622, 2580, 2671, 3397, 955, 3174, 6028, 2580, 7479, 6311, 334, 7053, 2890, 2545, 2565, 679, 1860, 2626, 3599, 852, 693, 2919, 2354, 1672, 1967, 1668, 925, 571, 2638, 233, 2638, 470, 1097, 6049, 13293, 1660, 2580, 3415, 8959, 824, 18077, 722, 61, 14806, 829, 864, 2969, 1079, 1645, 1231, 1241, 2045, 555, 2679, 1231, 312, 925, 2461, 610, 8398, 2580, 470, 5544, 8479, 7524, 173, 733, 1627, 1645, 2580, 3415, 8959, 1376, 1480, 4365, 1173, 1467, 555, 13578, 4320, 1881, 1660, 3608, 3592, 2968, 4939, 2546, 1040, 4988, 5246, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
searching exotic spin dependent fundamental interaction electron nanometer scale molecular rule propose character molecular ruler contains deuce electron spin incisively adjustable distance varying length shape persistent polymer chain utilised constrain axial vector mediated fundamental interaction electron spin nanometer scale measure coupling enduringness electron spin within dissimilar molecular swayer better laboratory destined alien dipole dipole interaction electron established within strength range nm upper bound coupling nm time stringent previous limit
13
1,216,949
[ 2, 5559, 5037, 740, 1521, 1708, 719, 1149, 10770, 680, 2013, 2046, 537, 649, 2013, 2046, 34, 2927, 139, 589, 1149, 740, 317, 86, 13244, 11986, 1193, 2566, 1698, 1761, 5461, 4314, 1882, 16800, 739, 5850, 1134, 5781, 1708, 719, 1149, 740, 10770, 680, 949, 1183, 904, 2569, 691, 1149, 740, 992, 9222, 2013, 1610, 741, 1251, 4902, 7692, 64, 8440, 62, 3822, 3822, 719, 1149, 2668, 992, 2126, 889, 2892, 2054, 451, 1183, 2892, 290, 7537, 912, 625, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
tribe theorem force field possibility case nuclear physic although part unrecognised gerry brownish played germinal prescient role ontogeny shortly heralded first rule glide path nuclear dynamic known nuclear effective field theory eft short give legal brief account way life embark together korean colleague previous phase development allow behind succeeding pave road go focusing beyond standard eft context gerrys original conceptual thought opine dilepton fiasco suggest surprising young function spy local scale symmetry atomic physic
16
806,712
[ 2, 13684, 38, 1396, 2058, 381, 2851, 516, 2461, 1422, 2302, 1229, 19461, 19261, 879, 8935, 403, 7820, 664, 7193, 12168, 1203, 863, 3395, 78, 1574, 4116, 2614, 50, 15330, 19095, 499, 2046, 871, 557, 1324, 2461, 565, 886, 2461, 1013, 381, 476, 8687, 1491, 1041, 8089, 4471, 1948, 1024, 2434, 6498, 445, 2556, 18636, 11878, 10924, 912, 584, 1642, 735, 4921, 9151, 70, 6067, 4028, 902, 3895, 2173, 974, 8687, 1115, 8935, 403, 32, 2167, 5966, 5987, 17968, 243, 17088, 294, 3078, 35, 1503, 4110, 4332, 327, 129, 50, 619, 680, 1078, 2671, 1422, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
conformal embeddings affine vertex superalgebras paper natural continuation previous work conformal embeddings vertex algebra consider conformal embeddings simple affine vertex superalgebra basic classical simple lie superalgebras let subalgebra generated first classify level embedding conformal next prove large family conformal level completely reducible module obtain decomposition rule proof based fusion rule argument representation theory certain affine vertex algebra interesting case decomposition finite non simple current extension decomposition us previous work representation theory
8
665,335
[ 2, 3076, 2763, 3552, 1949, 12684, 362, 1398, 6859, 912, 431, 3076, 2763, 1949, 877, 520, 3076, 2763, 1004, 3552, 1949, 11712, 2919, 1070, 1004, 2098, 12684, 2122, 10226, 1472, 499, 3873, 712, 1463, 3076, 2432, 900, 506, 1644, 3076, 712, 3473, 12447, 1815, 575, 2246, 2046, 1689, 250, 3016, 2046, 3306, 748, 476, 1452, 3552, 1949, 877, 2547, 516, 2246, 834, 278, 1004, 845, 1900, 2246, 143, 912, 431, 748, 476, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
identification electrical equivalent circuit model based noisy measurement real time identification electrical equivalent circuit model decisive requirement many virtual system battery electric motor significant work done past developing dissimilar type algorithm system identification using reduced equivalent circuit model however little work done analyzing theoretical performance bound approach proper understanding theoretical edge aid designing organisation economical cost full bodied performance paper analyze performance linear recursive least straight approach tantamount circuit model identification show least square approach unbiased efficient signal noise ratio high enough however show signal noise ratio low resembling case many practical application least square estimator becomes importantly biased accordingly develop parameter estimation approach based total least square method show asymptotically unbiased efficient practically low signal stochasticity ratio region develop recursive implementation total least square algorithm find slow converge employ kalman filter improve overlap amphetamine full least square method resulting total kalman filter shown unbiased efficient equivalent electrical circuit model parametric quantity designation performance filter analyzed using real world current profile fluctuating signal noise proportion eventually applicability algorithm analysis paper identifying higher order electrical equivalent circuit model explain
3
186,783
[ 2, 2450, 4188, 2514, 2453, 142, 250, 2817, 852, 495, 290, 2450, 4188, 2514, 2453, 142, 14277, 2404, 731, 3242, 214, 5085, 2253, 6165, 779, 431, 3870, 2965, 3533, 9222, 654, 349, 214, 2450, 291, 2104, 2514, 2453, 142, 627, 3608, 431, 3870, 3519, 1238, 473, 451, 338, 505, 1543, 1238, 1226, 5547, 3918, 12925, 15048, 1103, 1616, 19371, 524, 473, 362, 1849, 473, 617, 5402, 2100, 4449, 338, 16017, 113, 898, 2453, 142, 2450, 223, 2100, 2187, 338, 5862, 790, 901, 1068, 1467, 298, 3402, 627, 223, 901, 1068, 1467, 485, 13617, 516, 731, 2065, 542, 2100, 2187, 1951, 2968, 5106, 5076, 6675, 578, 481, 1083, 338, 250, 1876, 2100, 2187, 210, 223, 3482, 5862, 790, 7379, 485, 901, 11484, 1467, 977, 578, 5402, 1797, 1876, 2100, 2187, 349, 696, 2563, 4570, 1550, 6667, 1875, 1354, 3745, 11211, 2749, 3477, 7651, 38, 1616, 2100, 2187, 210, 1748, 1876, 6667, 1875, 1186, 5862, 790, 2514, 4188, 2453, 142, 3105, 2797, 618, 75, 473, 1875, 3273, 291, 495, 1258, 845, 2379, 9064, 901, 1068, 3592, 5888, 4340, 349, 494, 362, 3433, 1084, 452, 4188, 2514, 2453, 142, 1668, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
probabilistic load margin assessment using vine copula gaussian process emulation increase penetration renewable energy along variation load add large dubiousness power organization state jeopardize security power system rule planning functioning facing challenge paper offer cost effective nonparametric method measure impact uncertain power injection load margin firstly declare oneself generate system uncertain input via novel vine copula imputable capability assume complex multivariate highly dependent theoretical account input furthermore reduce prohibitory computational time demand traditional monte carlo method acting propose use nonparametric gaussian process emulator based reduced order model replace original complicated continuation power flow model copycat allows execute time consuming continuation power flow solver sampled value negligible computational cost simulation conducted ieee bus system correlate renewable contemporary attached reveal excellent performance proposed method acting
3
192,169
[ 2, 2568, 3357, 4494, 3468, 291, 16756, 38, 8477, 1476, 455, 12728, 1376, 8115, 7561, 470, 1622, 1929, 3357, 1045, 506, 7634, 3246, 691, 716, 4770, 314, 19162, 462, 2445, 716, 214, 2046, 2839, 12978, 8930, 1136, 362, 2380, 1103, 1013, 5374, 210, 949, 1485, 1328, 716, 5300, 3357, 4494, 5373, 12220, 38, 401, 15063, 52, 1941, 214, 1328, 983, 864, 758, 16756, 38, 8477, 8071, 195, 2459, 3780, 586, 3808, 1752, 1521, 1238, 1948, 983, 1518, 2068, 6993, 5366, 1259, 290, 2649, 2239, 2545, 2565, 210, 5136, 537, 508, 5374, 1476, 455, 11742, 250, 2104, 452, 142, 6956, 2167, 4845, 6859, 716, 928, 142, 5572, 14872, 1191, 8884, 290, 5340, 6859, 716, 928, 3450, 4777, 730, 5247, 1259, 1103, 679, 3341, 8224, 4077, 214, 6925, 7561, 8652, 8179, 1605, 4254, 473, 459, 210, 5136, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
categorical algebraic aspect intuitionistic modal logic predicate extension system intuitionistic modal logic proposed artemov protopopescu intuitionistic version belief logic citeartemov construct modal lambda calculus curry howard isomorphic type theoretical representation applicative computation widely known functional programming also provide categorical interpretation modal lambda calculus considering coalgebras associated monoidal functor cartesian closed category finally study heyting algebra locale corresponding operator operator used point free topology well study compelete kripke joyal style semantics predicate extension related logic using dedekind macneille completion modal cover system introduced goldblatt citegoldblattcover paper extends conference paper published lfcs volume citerogozinmodal
1
560,556
[ 2, 5785, 2424, 2346, 15795, 3840, 3050, 9935, 1900, 214, 15795, 3840, 3050, 459, 11347, 11236, 46, 11128, 6832, 9691, 33, 45, 15795, 1904, 5090, 3050, 5585, 1908, 96, 721, 1244, 3840, 7951, 4726, 517, 403, 623, 330, 5813, 654, 1238, 748, 2617, 342, 1189, 2342, 886, 1653, 2710, 364, 693, 5785, 2800, 3840, 7951, 4726, 2462, 19667, 1187, 8885, 6220, 8028, 2064, 1798, 1157, 352, 678, 50, 133, 877, 619, 38, 1309, 941, 941, 522, 563, 965, 2376, 529, 352, 2102, 2704, 38, 8061, 447, 526, 19604, 61, 3725, 4337, 9935, 1900, 1264, 3050, 291, 16511, 2789, 243, 6060, 4240, 3840, 2192, 214, 1847, 4622, 3542, 5689, 5585, 2891, 1110, 3542, 5689, 4384, 126, 362, 4020, 8901, 362, 4549, 6849, 3256, 2116, 5585, 13571, 11919, 60, 11236, 15180, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
solution doublet ternary splitting present solution doublet triplet splitting problem supersymmetric enlarge group introducing two supermultiplets representation stretch group perturbative superpotential associated gauge group cater right caliber symmetry breaking besides child mass higgs triplet associated massless higgs doublet method advantage sliding singlet model without drawback
7
1,679,286
[ 2, 533, 7703, 9236, 3586, 415, 533, 7703, 5233, 3586, 304, 5400, 15586, 657, 3632, 312, 6360, 8916, 14821, 748, 8642, 657, 4011, 14763, 1187, 2036, 657, 15325, 3179, 2772, 59, 1078, 3116, 3923, 6652, 669, 3130, 5233, 1187, 5389, 3130, 7703, 210, 2051, 7327, 5715, 142, 973, 6970, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
control tumour growing distribution energising method numerical modeling tumor emergence long chronicle mathematically formulated several different way tackle problem case continuous statistical distribution using mathematical tool statistical physic extent introduce novel kinetic model growth highlight function microscopic transition determining variety show equilibrium distribution variability feeler mesoscopic description terminal figure elementary fundamental interaction allows design accurate microscopic feedback mastery therapy able influence natural tumor growth mitigate risk factor involved big sized tumor appearance suitable scaling free insure outgrowth model correspond fokker planck type equality maturation distribution varying coefficient dispersion drift whose steady solution free case given class generalized gamma density characterized fat tooshie scaling feedback control produce explicit modification drift operator shown powerfully modify emerging distribution tumor size particular size distribution comportment therapy manifest slim tail growth model fit marked mitigation risk factor numerical result confirming theoretical analysis also presented
5
1,014,346
[ 2, 561, 11771, 3672, 555, 16217, 1073, 210, 869, 1490, 5052, 4090, 891, 11694, 80, 7233, 4117, 876, 467, 1024, 3898, 304, 516, 1335, 1558, 555, 291, 2657, 1242, 1558, 1422, 4433, 1077, 758, 2868, 142, 2084, 3025, 327, 4058, 908, 4026, 1683, 223, 1726, 555, 3721, 13715, 59, 9141, 2045, 6120, 7547, 4788, 1708, 719, 1191, 618, 1677, 4058, 2349, 5645, 50, 8434, 1728, 2368, 1398, 5052, 2084, 4951, 1965, 955, 4242, 3315, 6009, 5052, 4441, 2345, 2147, 965, 6724, 114, 19991, 2355, 225, 142, 932, 8680, 4100, 654, 6273, 319, 1434, 555, 2566, 1624, 3174, 4075, 1857, 3623, 533, 965, 516, 812, 463, 1582, 3267, 784, 3046, 8435, 1021, 11323, 400, 2147, 2349, 561, 1990, 1359, 3397, 4075, 941, 1186, 3039, 97, 6228, 3675, 555, 5052, 918, 756, 918, 555, 141, 274, 190, 8434, 5096, 15761, 2735, 2084, 142, 1814, 6846, 6229, 1965, 955, 869, 249, 8679, 1238, 494, 364, 1588, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
pandemic risk exposure management imagination contingency planning allocation repeated history pandemic sars hn ebola zika covid shown pandemic risk inevitable extraordinary shortage medical resourcefulness observe many part human race attributing component include deficiency sufficient backlog lack coordinated effort deploy exist resourcefulness location great need paper investigates contingency plan resource allocation risk management position opposed prevailing supplying chain perspective key idea contest limited critical resource present different geographical location also different stage pandemic newspaper publisher draw play analogy risk aggregation capital allotment finance pandemic resource provision allocation health care system main contribution introduce young strategy optimal stockpiling allotment equilibrate spatio temporal competition aesculapian supply demand
15
1,191,333
[ 2, 4149, 1965, 5063, 3352, 19745, 13066, 2839, 3286, 5519, 3587, 4149, 7042, 11974, 9775, 15378, 30, 3936, 42, 2222, 1186, 4149, 1965, 10699, 12388, 14314, 2791, 1655, 789, 691, 2638, 731, 1229, 1047, 8813, 2507, 4178, 1071, 2373, 10102, 1883, 1057, 8131, 2532, 8347, 2901, 2518, 991, 1655, 789, 691, 2309, 1931, 1142, 362, 5868, 13066, 1358, 1655, 3286, 1965, 3352, 2012, 7776, 13593, 5658, 70, 1882, 2452, 1231, 2399, 15751, 1676, 1166, 1655, 415, 467, 10228, 2309, 364, 467, 2031, 4149, 19675, 17914, 3000, 1973, 6350, 1965, 4284, 8281, 19269, 190, 8736, 4149, 1655, 9929, 3286, 2499, 3149, 214, 925, 1688, 1077, 4332, 1168, 819, 5292, 9174, 1233, 19269, 190, 10015, 4700, 5173, 1675, 4626, 9609, 15338, 240, 599, 5658, 2649, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
phonon shifton real modulated scalar report massive tangible scalar field break version symmetry dynamically higher gradient full term favour modulated conformation neither finite density temperature needed low phase energy density depends spatial position analog fluctuation show phononic dispersion field related massless scalar model modulated vacuum break well field shift symmetry yield rise extra nambu goldstone musical mode shifton saucer independency shifton phonon draw analogy rotons superfluids proceeding first principle obtain generalise standard result unitary dimensional lattice eventually prove stability geometric contortion extending existing analysis elastic medium higher derivative case
12
737,666
[ 2, 3793, 2339, 58, 495, 6259, 1631, 1439, 2030, 4628, 1310, 1631, 381, 2061, 1904, 1078, 4213, 1084, 1154, 1616, 612, 7956, 6259, 9403, 6189, 834, 784, 906, 3177, 485, 584, 470, 784, 2696, 1325, 2012, 2073, 2160, 223, 11695, 3174, 381, 1264, 5389, 1631, 142, 6259, 2969, 2061, 529, 381, 2339, 1078, 1718, 3248, 2818, 10185, 9288, 8482, 1082, 2339, 58, 4534, 589, 34, 1185, 479, 2339, 58, 3793, 3000, 6350, 1524, 2491, 13733, 10987, 499, 1779, 575, 9513, 974, 249, 3673, 673, 1276, 5888, 900, 1557, 1987, 230, 3272, 4244, 936, 494, 2933, 1865, 1084, 2790, 516, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
planetary ephemeris program capability comparison open source availability describe first time scientific literature planetary ephemeris program pep open source general purpose astrometric data analysis program discus particular implementation pulsar timing analysis recently upgraded pep handle option implementation done independently pulsar program minor exception discus illustrate implementation capability comparing post fit residual analysis time arrival observation pep tempo comparison show substantial agreement n rms difference pulse time arrival measurement millisecond pulsar binary system psr pulse period m full width half maximum pulse epoch interval december february
10
1,405,602
[ 2, 4470, 18187, 1349, 2459, 1848, 1090, 829, 5122, 1734, 499, 290, 3372, 1810, 4470, 18187, 1349, 10459, 1090, 829, 421, 2676, 10203, 233, 494, 1349, 883, 756, 1797, 4351, 4815, 494, 1305, 14297, 10459, 3579, 4322, 1797, 3870, 4414, 4351, 1349, 4926, 4536, 883, 2495, 1797, 2459, 3265, 1717, 1814, 3278, 494, 290, 5828, 972, 10459, 633, 6832, 1848, 223, 4302, 2626, 18, 9521, 1608, 2897, 290, 5828, 852, 8864, 4351, 1446, 214, 9436, 2897, 1278, 17, 1616, 3191, 3045, 1749, 2897, 5144, 2743, 12801, 13752, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
unchanging energetics gravity stress vigor tensor linear gravity accommodate harmonic gauge recently proposed butcher hobson lasenby remove gauge constraint imposing full measured gr find natural generalisation pseudotensor brainiac mollers pseudotensor alternative einstein formulated using tetrad obtain pseudotensor moller calibre hypothesis gravitational force gtg use variational approach identifying potentially interesting formula construct preserve current theory show electrostatic globular spacetimes key gravitational mass mollers pseudotensor describes gravitational accent muscularity gravitational potential scalar ie klein gordon field coupled gravitational mass density minkowski background knowledge old newtonian expression successfully describes potential even strong field photograph newtonian limit effect previously observed tensor butcher recover local virial theorem terminal point demonstrate using schwarzschild star solution incompressible perfect fluid ball
11
233,878
[ 2, 8909, 2725, 13599, 1870, 3271, 15486, 65, 1540, 617, 1870, 7977, 2865, 2036, 1305, 459, 13283, 10877, 4738, 2893, 58, 2214, 16052, 50, 5261, 2036, 986, 7498, 1616, 2205, 1994, 696, 1398, 6845, 3270, 16382, 5207, 2773, 2323, 33, 9363, 1725, 32, 3270, 16382, 5207, 2262, 2982, 4117, 291, 16911, 575, 3270, 16382, 5207, 9363, 1725, 2772, 114, 2765, 1751, 2058, 9090, 47, 508, 2332, 338, 3433, 3345, 2547, 1729, 1244, 4004, 845, 476, 223, 6560, 7040, 6016, 1231, 1751, 669, 9363, 1725, 32, 3270, 16382, 5207, 3705, 1751, 13111, 3161, 15338, 4457, 1751, 801, 1631, 1273, 6386, 7658, 381, 1828, 1751, 669, 784, 6320, 1919, 1179, 5541, 5978, 2165, 3334, 3705, 801, 1040, 788, 381, 13654, 5978, 625, 610, 2240, 1059, 1540, 13283, 10877, 1868, 619, 9607, 1396, 6120, 563, 717, 291, 6597, 706, 533, 6239, 3261, 2130, 3750, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
membership constrained diffeomorphic concentration motion estimation respiratory correlated computed tomography motion estimation organ chronological sequence image crucial numerous aesculapian imaging application focal point paper analysis respiratory correlated computed imaging rcct imaging hypothecate quasi periodic breathing induced motion organ thorax represented deformation spanning low dimension subspace full infinite dimensional space diffeomorphic transformation report present novel motion estimate algorithmic program include constraint blue rank file movement different phase rcct trope low rank deformation answer necessary efficient statistical analysis improved treatment planning delivery although application concentrate paper rcct algorithm quite general applicable diverse motion estimation problem medical tomography
3
101,593
[ 2, 6634, 2421, 15417, 3280, 1367, 1083, 8902, 2842, 2852, 4828, 1367, 1083, 2415, 12074, 676, 1160, 488, 2620, 4464, 9609, 15338, 240, 599, 1909, 542, 8339, 563, 362, 494, 8902, 2842, 2852, 1909, 7239, 1638, 1909, 2466, 74, 103, 2119, 2229, 10700, 1627, 1367, 2415, 5073, 714, 3916, 2795, 5494, 485, 443, 3207, 1616, 2149, 673, 410, 15417, 2081, 1439, 415, 758, 1367, 999, 3930, 1349, 2373, 986, 6252, 1850, 5462, 4014, 467, 584, 7239, 1638, 6957, 38, 485, 1850, 2795, 2874, 2446, 790, 1558, 494, 2023, 2506, 2839, 6029, 2302, 542, 8844, 362, 7239, 1638, 349, 4638, 421, 3649, 3122, 1367, 1083, 304, 2791, 4828, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
predict parton energy passing modest collision system medium induced parton energy loss conclusively show neither peripheral heavy ion collision proton ion collision however standard interpretation azimuthal impulse anisotropy thesis system implies partonic rescattering upcoming abstemious ion run lhc provide unique chance hunt parton energy loss different arrangement similar size shuffle prediction expected parton energy department passing signal charged hadron spectrum system size scan lhc trial large jell model assumption transverse momentum centrality dependence charged hadron nuclear modification factor lead confidential information atomic number atomic number collision lhc attempt make poser agnostical prediction charge hadron atomic alteration factor oxygen atomic number hit
16
867,103
[ 2, 1480, 5905, 470, 5544, 8861, 1881, 214, 1865, 1627, 5905, 470, 1097, 17039, 97, 223, 6189, 10797, 2476, 1710, 1881, 2915, 1710, 1881, 627, 974, 2800, 8357, 8959, 3703, 7120, 214, 3503, 14806, 7566, 15354, 7402, 1506, 1379, 14690, 211, 1710, 1769, 3599, 693, 2326, 7255, 19312, 5905, 470, 1097, 467, 6096, 960, 918, 11528, 839, 1945, 5905, 470, 13276, 5544, 901, 3297, 3167, 978, 214, 918, 4245, 3599, 4964, 506, 15770, 7270, 142, 1628, 3415, 1772, 6663, 1991, 3297, 3167, 2461, 3397, 955, 840, 10837, 545, 2671, 486, 2671, 486, 1881, 3599, 3628, 1225, 2731, 34, 5239, 61, 839, 1682, 3167, 2671, 11635, 955, 5533, 2671, 486, 6889, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
optically targeted lookup gravitational wave emitted heart soul collapse supernova initiative second observing run advanced ligo advanced virgo present result search gravitational wave transient consociate core collapse supernova observed within source length approximately mpc inaugural second remark run advanced ligo advanced virgo significant gravitative wave candidate observe report spotting efficiency function distance waveform derived multidimensional numerical feigning phenomenological extreme point emission model neutrino driven blowup distance reach detection efficiency approach kpc magnetorotationally driven explosion kpc however waveform uttermost emission role model detectable mpc first time gravitational wave data enabled exclude part parameter space two extreme emission model confidence limited coincident data coverage besides using ad hoc sympathetic signaling windowed gaussian envelope encumber gravitational undulation vitality emitted core flop level emission hz hz respectively constraint deuce order order magnitude stringent antecedently derived corresponding analysis using initial ligo initial virgo geo data
11
269,805
[ 2, 6191, 5473, 15019, 1751, 713, 6750, 5737, 18907, 43, 3863, 3685, 10870, 937, 5143, 1769, 3753, 7278, 3753, 8899, 415, 249, 1106, 1751, 713, 3588, 924, 874, 103, 1915, 3863, 3685, 1059, 992, 829, 1698, 3824, 5128, 83, 17841, 393, 937, 3224, 1769, 3753, 7278, 3753, 8899, 779, 1535, 342, 713, 2333, 2638, 1439, 13152, 1370, 327, 1193, 4816, 1712, 6587, 869, 412, 248, 70, 5973, 3203, 563, 1645, 142, 2018, 1457, 12382, 1193, 2123, 791, 1370, 338, 6054, 5767, 19510, 97, 1457, 5952, 6054, 627, 4816, 5955, 2367, 1645, 1574, 142, 7517, 5128, 499, 290, 1751, 713, 233, 4446, 11207, 1229, 481, 410, 312, 3203, 1645, 142, 3379, 1676, 12345, 233, 3879, 3923, 291, 198, 6511, 2217, 13156, 1614, 8210, 4029, 64, 1476, 5061, 1050, 9149, 1751, 3961, 361, 6461, 104, 6750, 1915, 9784, 712, 1645, 6992, 6992, 1853, 986, 139, 589, 452, 452, 2227, 7537, 3449, 5506, 2128, 1712, 1309, 494, 291, 1352, 7278, 1352, 8899, 10468, 233, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
quantum group non commutative lorentzian spacetimes curved momentum space essential feature quantum group deformation classical symmetry general relativity case non vanishing cosmological constant presented fully describe anti de sitter non commutative spacetimes curved momentum space dimension arising deformed quantum group symmetry non commutative spacetimes introduced semiclassically mean canonical poisson structure sklyanin bracket depending classical matrix defining deformation curved momentum space defined orbit generated dual hopf algebra quantum symmetry throughout construction use kinematical coordinate term physical interpretation becomes transparent cosmological constant included explicit parameter whose limit provides minkowskian case generalization result physically relevant dimensional deformation also commented
1
538,068
[ 2, 406, 657, 278, 5029, 8445, 6016, 5596, 1772, 410, 2691, 571, 406, 657, 2795, 1070, 1078, 421, 4260, 516, 278, 4127, 2485, 1269, 1588, 1771, 1734, 2048, 139, 5115, 278, 5029, 6016, 5596, 1772, 410, 443, 3659, 5735, 406, 657, 1078, 278, 5029, 6016, 1847, 6800, 97, 823, 3173, 3243, 497, 1607, 97, 9022, 39, 7931, 3054, 1070, 766, 4922, 2795, 5596, 1772, 410, 1613, 1430, 1472, 1641, 5367, 877, 406, 1078, 4891, 1793, 508, 12194, 2972, 612, 1347, 2800, 2968, 6561, 2485, 1269, 4707, 1359, 481, 1857, 625, 1220, 17646, 516, 1781, 249, 5257, 1980, 673, 2795, 364, 4895, 64, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
null expectation null hypothesis try specie abundance distribution number element type sampled ecological system among powerful constraint observance abundance distribution variety together determine set possible form ie feasible set specie abundance distribution sad three approach verbal description null sad average executable sad first feeler based random uniform sampling surjections calculate probability given sad give attack eq nd approach establish random try composition calculate probability afford sad given approach eq rd approach based random unvarying sampling partition review approach developed locey white provide asymptotic result useful ecologist center feasible set void expectation deviate enough substitute manikin invoking biological ecological mechanism underlie sad integrate feasible set advance typical model inference ecology goodness fit null hypothesis testing model comparison null modelling describe numerical simulation describe expectation different approach feasible set develop nonsubjective physical fitness function allow estimation likely lamentable using numerical optimization provide tool compare null arithmetic mean based feasible set approach observation context fashion model comparison null hypothesis try
5
1,057,424
[ 2, 4040, 3548, 4040, 2765, 5979, 3527, 3436, 555, 486, 1241, 654, 4777, 10322, 214, 1509, 3039, 986, 474, 189, 3436, 555, 1683, 2556, 1988, 376, 1117, 337, 1273, 4138, 376, 3527, 3436, 555, 5807, 776, 338, 14454, 2045, 4040, 5807, 1611, 15754, 5807, 499, 13715, 59, 250, 753, 1888, 1836, 507, 2028, 32, 2967, 1158, 812, 5807, 1041, 1299, 13060, 5948, 338, 1227, 753, 5979, 2684, 2967, 1158, 7511, 5807, 812, 338, 13060, 6285, 338, 250, 753, 171, 14939, 1177, 1836, 2503, 1977, 338, 1502, 444, 6109, 3554, 693, 1342, 249, 2094, 15077, 8131, 521, 2231, 4138, 376, 8421, 3548, 8694, 3402, 11671, 398, 3936, 60, 13085, 3812, 10322, 1112, 16355, 5807, 5387, 4138, 376, 2722, 2922, 142, 1444, 13929, 11038, 1814, 4040, 2765, 2248, 142, 1848, 4040, 3082, 1734, 869, 679, 1734, 3548, 467, 338, 4138, 376, 578, 11537, 737, 1240, 1347, 8093, 327, 735, 1083, 3258, 4162, 78, 195, 291, 869, 868, 693, 1242, 1845, 4040, 4803, 823, 250, 4138, 376, 338, 972, 1115, 4375, 142, 1848, 4040, 2765, 5979, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
comprehensive geoneutrino analysis borexino paper present geoneutrino measurement using day data taken borexino detector lngs italy observing geoneutrinos interval th signal tnu total precision obtained result assumes thu mass ratio found chondritic ci meteorite compatible result found contribution th fit free parameter antineutrino background reactor fit unconstrained found compatible expectation null hypothesis observing signal mantle excluded cl exploiting knowledge local crust measured mantle signal tnu corresponds production radiogenic heat tw interval th mantle assuming contribution mantle tw radiogenic heat lithosphere borexino estimate total earth radiogenic heat tw corresponding convective urey ratio value compatible different geological model however tension predict lowest concentration heat producing element fitting data constraint reactor antineutrino background existence hypothetical georeactor center earth power greater tw cl excluded particular attention given analysis detail interest next generation geoneutrino measurement
17
373,608
[ 2, 3100, 10468, 243, 10416, 494, 16724, 12908, 7541, 362, 415, 10468, 243, 10416, 852, 291, 3040, 233, 3356, 16724, 12908, 7541, 1787, 10289, 2393, 10914, 5143, 10468, 243, 10416, 32, 2743, 149, 901, 8847, 45, 1876, 2235, 970, 249, 7349, 149, 45, 669, 1467, 1088, 14328, 15713, 6147, 16307, 4023, 249, 1088, 1688, 149, 1814, 965, 481, 11195, 1919, 8324, 1814, 7358, 1088, 4023, 3548, 4040, 2765, 5143, 901, 12182, 9375, 178, 3646, 1179, 619, 9630, 2205, 12182, 901, 8847, 45, 4490, 2155, 2193, 2614, 72, 2551, 282, 2743, 149, 12182, 3416, 1688, 12182, 282, 2193, 2614, 72, 2551, 6289, 5698, 16724, 12908, 7541, 999, 1876, 3064, 2193, 2614, 72, 2551, 282, 1309, 7962, 3090, 6109, 1467, 730, 4023, 467, 13730, 142, 627, 4404, 1480, 5240, 3280, 2551, 5022, 1241, 3794, 233, 986, 8324, 11195, 1919, 1666, 10134, 10468, 114, 12499, 2231, 3064, 716, 4064, 282, 178, 9375, 756, 1392, 812, 494, 1639, 1640, 2432, 1356, 10468, 243, 10416, 852, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
signature quark hadron phase transition general relativistic neutron star merger merging binary neutron star strong source gravitational wave also potential revealing state matter density temperature accessible laboratory crucial long standing question context whether quark deconfined result dramatic increase density temperature following merger present first fully general relativistic simulation merging neutron star including quark finite temperature switched consistently equation state within approach determine clearly signature quark hadron phase transition would leave gravitational wave signal particular show condition met phase transition take place several time nuclear saturation density would lead post merger signal considerably different one expected inspiral probe hadronic part equation state anticipated collapse merged object also show phase transition lead hot dense quark core collapse black hole produce ringdown signal different hadronic one finally analogy done heavy ion collision use evolution temperature density merger remnant illustrate property phase transition qcd phase diagram
10
1,324,753
[ 2, 2971, 2269, 3167, 584, 908, 421, 2662, 2185, 706, 3387, 6379, 1446, 2185, 706, 788, 829, 1751, 713, 364, 801, 6143, 314, 1074, 784, 906, 4837, 4902, 2620, 891, 5763, 1408, 1115, 2252, 2269, 13109, 249, 5192, 1376, 784, 906, 2401, 3387, 415, 499, 1771, 421, 2662, 679, 6379, 2185, 706, 995, 2269, 834, 906, 9119, 4408, 552, 314, 992, 338, 1988, 5383, 2971, 2269, 3167, 584, 908, 2274, 8002, 1751, 713, 901, 756, 223, 587, 173, 584, 908, 1884, 3249, 876, 290, 2461, 5843, 784, 2274, 840, 1717, 3387, 901, 5996, 467, 401, 1945, 9723, 2634, 5741, 1229, 552, 314, 11161, 3863, 12665, 934, 364, 223, 584, 908, 840, 3365, 2637, 2269, 1915, 3863, 1161, 1196, 1990, 15426, 901, 467, 5741, 401, 1157, 6350, 3870, 2476, 1710, 1881, 508, 1085, 906, 784, 3387, 6080, 2495, 559, 584, 908, 3072, 584, 2543, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
band spectrum periodic hybrid structure present detailed study generalised one dimensional kronig penney model using potential analyse band structure density state two situation first case consider infinite array formed identical potential standing linear lattice node case known throughout paper one specie hybrid dirac comb investigate consequence adding interaction dirac comb comparing band spectrum density state pure dirac comb one specie hybrid dirac comb secondly study quantum system arises periodic potential one obtained superposition two one specie hybrid dirac comb displaced one respect different coupling latter known two specie hybrid dirac comb one remarkable result appearance curvature change band spectrum coupling critical value
8
600,704
[ 2, 1075, 978, 2229, 2025, 497, 415, 2721, 352, 6260, 401, 673, 10263, 105, 2979, 7570, 142, 291, 801, 4742, 1075, 497, 784, 314, 312, 3055, 499, 516, 520, 2149, 2455, 3850, 4838, 801, 5763, 617, 1276, 1418, 516, 886, 4891, 362, 401, 3527, 2025, 2937, 728, 1190, 2736, 4379, 719, 2937, 728, 3265, 1075, 978, 784, 314, 3456, 2937, 728, 401, 3527, 2025, 2937, 728, 6202, 352, 406, 214, 4530, 2229, 801, 401, 970, 6012, 312, 401, 3527, 2025, 2937, 728, 12408, 401, 1785, 467, 1183, 2679, 886, 312, 3527, 2025, 2937, 728, 401, 4739, 249, 4441, 2396, 1173, 1075, 978, 1183, 1166, 730, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
generator class group field degree let pure quintic field positive integer power free let cyclotomic field containing primitive root unity normal closure let component class group purpose paper determine generator whenever type rank group ambiguous class action
1
559,956
[ 2, 2896, 463, 657, 381, 1402, 2122, 3456, 15388, 381, 1629, 2554, 716, 965, 2122, 12410, 381, 3438, 5101, 3257, 7332, 1572, 5267, 2122, 1071, 463, 657, 2676, 362, 1988, 2896, 6736, 654, 1850, 657, 9959, 463, 1274, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
priming prosocial behavior prospect response covid pandemic evidence online experiment report cogitation whether differently projected information impact covid pandemic affect single prosocial behavior first moment next outcome conducted online experiment british participant uk present first lockdown outbreak uprise microscope stage participant primed either environmental economic event explorer negative prime environmental economic benefit ie positive prime pandemic neutral data measure priming effect incentivized take give authoritarian plot participant expectation future environmental quality economic emergence result show prime affect participant expectation prosociality particular participant prime environmental consequence hold pessimistic view future environmental quality primed economic welfare affirmative future economical growth rather positive environmental prime negative economic prime influence expectation result offer insight information affect behavior expectation covid pandemic
18
1,605,874
[ 2, 1783, 70, 8352, 19824, 1017, 5988, 1601, 2222, 4149, 2188, 1831, 427, 1439, 4208, 3669, 2252, 7980, 5145, 545, 1485, 2222, 4149, 2898, 782, 8352, 19824, 1017, 499, 1147, 2432, 2890, 3341, 1831, 427, 4286, 5442, 37, 4330, 9058, 415, 499, 8471, 6791, 862, 7401, 38, 8156, 2031, 4330, 3877, 40, 1896, 4405, 4252, 1170, 11245, 2221, 3877, 4405, 4252, 2539, 1273, 1629, 3877, 4149, 3856, 233, 949, 1783, 70, 610, 18838, 40, 1884, 1041, 2953, 13774, 6903, 4330, 3548, 1387, 4405, 1320, 4252, 4090, 249, 223, 3877, 2898, 4330, 3548, 8352, 19824, 104, 756, 4330, 3877, 4405, 2736, 2660, 18502, 1541, 1387, 4405, 1320, 3877, 40, 4252, 8789, 12919, 1387, 15048, 2084, 2728, 1629, 4405, 3877, 2221, 4252, 3877, 2368, 3548, 249, 2380, 2251, 545, 2898, 1017, 3548, 2222, 4149, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
delineate property affair cold dense qcd dimension dense qcd matter bloodline construction equate state coherent qcd figuring low high density limit nuclear laboratory experiment neutron star reflexion constraint together causality condition strait speed habituate develop picture hadron quark continuity hadronic matter continuously transform quark matter modulo small st order magnitude phase passage hadronic matter baryon denseness nb fm atomic saturation denseness habit equation state togashi et al based microscopical variational many organic structure figuring quark matter nb construct equality state utilize schematic quark exemplar foreignness whose interaction motivated hadron phenomenology region hadronic quark thing nb difficult calculate handle highly constrained interpolation nuclear quark thing equivalence state vector sum unified equation state zero temperature beta equilibrium call quark hadron crossover qhc qhc uniform measured property neutron star accession give microscopic insight property dense qcd matter particular gluon remain non perturbative vacuum curiousness abundant quark core two solar good good deal neutron virtuoso within modeling maximum mass found le time solar mass baryon denseness nitty gritty range
16
845,876
[ 2, 15993, 559, 1383, 3904, 3949, 2637, 3072, 443, 2637, 3072, 1074, 6589, 1282, 1793, 344, 103, 314, 2609, 3072, 6943, 2569, 485, 298, 784, 625, 2461, 4902, 427, 2185, 706, 11605, 287, 986, 2556, 6951, 587, 3150, 76, 1691, 8842, 9000, 578, 4199, 3167, 2269, 5611, 5741, 1074, 5333, 1492, 2269, 1074, 7599, 762, 92, 452, 2227, 584, 6022, 5741, 1074, 3941, 2637, 691, 7024, 5088, 2671, 5843, 2637, 691, 8842, 552, 314, 1021, 10523, 13041, 1623, 128, 250, 4058, 61, 2332, 731, 5768, 497, 6943, 2569, 2269, 1074, 7024, 1244, 6273, 314, 3951, 9282, 100, 2269, 12617, 13469, 691, 1857, 719, 2808, 3167, 7695, 977, 5741, 2269, 4781, 7024, 1930, 2967, 3579, 1752, 2421, 4223, 2461, 2269, 4781, 3314, 314, 1134, 1327, 3384, 552, 314, 1362, 906, 5028, 1726, 1052, 2269, 3167, 6181, 21, 37, 33, 21, 37, 33, 1888, 2205, 559, 2185, 706, 2083, 287, 1041, 4058, 2251, 559, 2637, 3072, 1074, 756, 4679, 1692, 278, 4011, 2969, 13829, 691, 7767, 2269, 1915, 312, 2131, 1860, 1860, 2951, 2185, 2887, 9809, 339, 992, 1490, 1749, 669, 1088, 275, 290, 2131, 669, 3941, 2637, 691, 4861, 351, 9259, 7140, 50, 889, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
punishing baryon spectroscopy lattice qcd report recent accurate estimate passel ground nation baryon using lattice quantum chromodynamics discussed considering prospect threatening baryon sphere lattice idea emphasized firstly existing latticework determination highly excited excitation relation recent lhcb discovery also talk
7
1,776,581
[ 2, 8479, 7524, 3941, 2999, 1276, 3072, 1439, 644, 1677, 999, 3103, 73, 1636, 12415, 3941, 291, 1276, 406, 11736, 2443, 2462, 5988, 17803, 3941, 3018, 1276, 2399, 15145, 5373, 936, 1276, 192, 4267, 1752, 3934, 2418, 893, 644, 9323, 2948, 364, 8900, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
ultraviolet suppression nonlocality optical model potential nucleon nucleus dissipate investigate role high momentum portion optical model potential nucleon lens nucleus scattering incidence nonlocal structure coordinate space study cover closed shell nucleus mass identification number range nucleon vim ten mev gev purpose microscopic optic potential calculated using density dependent shell ground substance brueckner hartree fock approximation based argonne well chiral force next next next lead social club confirm gradual suppression high momentum contribution optical likely result quite different coordinate space counterpart accounting scattering observables infer minimal cutoff momentum social function quarry heap routine muscularity process filter irrelevant ultraviolet component potential find ultraviolet suppression applied perey buck nonlocal potential local wood saxon electric potential also result nonlocal standardized appearance obtained microscopic model momentum space examine transversal nonlocality quantity make comparable intrinsic nonlocality potential regardless delegacy resolve meaningful comparison nonlocal feature article substitute potential require suppression ultraviolet component
14
971,931
[ 2, 6325, 5323, 11145, 1195, 142, 801, 4376, 2993, 2815, 103, 1190, 1574, 298, 1772, 7071, 1195, 142, 801, 4376, 3982, 2993, 1661, 7411, 4691, 497, 2972, 410, 352, 2192, 2064, 3583, 2993, 669, 2450, 486, 889, 4376, 686, 53, 4265, 4016, 3598, 2676, 4058, 4319, 801, 3282, 291, 784, 1521, 3583, 1636, 13687, 11412, 2243, 1162, 9002, 6482, 1056, 250, 9560, 243, 529, 2687, 2058, 2432, 2432, 2432, 840, 1794, 19987, 2353, 10100, 5323, 298, 1772, 1688, 1195, 3258, 249, 4638, 467, 2972, 410, 3383, 5951, 1661, 3622, 2633, 2169, 7072, 1772, 1794, 327, 8256, 403, 14885, 7688, 3161, 15338, 4457, 455, 1875, 8369, 6325, 1071, 801, 696, 6325, 5323, 1261, 184, 6109, 8980, 4691, 801, 619, 12822, 14790, 58, 2253, 801, 364, 249, 4691, 10114, 4441, 970, 4058, 142, 1772, 410, 3307, 11203, 11145, 2797, 1225, 3102, 2996, 11145, 801, 6140, 13113, 611, 4663, 4713, 1848, 4691, 571, 2063, 11671, 801, 2115, 5323, 6325, 1071, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
decay mode scalar exotic meson investigate semileptonic decay scalar tetraquark final state payoff due weak transition purpose calculate spectroscopic parameter final country scalar tetraquark reckoning use quantum chromodynamics sum regulation method contract account quark gluon miscellaneous condensation dimension mass prevail present work indicates unstable strong fundamental interaction decline meson fond width wave mode well full width tetraquark found average qcd illumine cone sum rule method technical tool soft mesotron approximation partial width main semileptonic process computed use weak form factor extracted qcd three point sum rule also trace rearward frail transformation unchanging tetraquark conventional meson obtain result full breadth mean lifetime considerably prediction decay duct tetraquark used data based study exotic state endabstract
17
341,484
[ 2, 1552, 1082, 1631, 5037, 4073, 1190, 12783, 1552, 1631, 10119, 2811, 314, 7908, 824, 1207, 908, 2676, 2967, 4447, 481, 2811, 4299, 1631, 10119, 251, 13091, 1999, 508, 406, 11736, 1327, 6382, 210, 5303, 1948, 2269, 4679, 17510, 12542, 243, 211, 6657, 443, 669, 18000, 415, 431, 4261, 4359, 788, 1708, 719, 9666, 4073, 3748, 39, 40, 3191, 713, 1082, 529, 1616, 3191, 10119, 1088, 1611, 3072, 9337, 38, 3946, 1327, 2046, 210, 3915, 1242, 1489, 2198, 16317, 1056, 2170, 3191, 925, 12783, 455, 2852, 508, 1207, 337, 955, 3404, 3072, 776, 563, 1327, 2046, 364, 3158, 8878, 1221, 3467, 116, 2081, 8909, 2725, 10119, 2172, 4073, 575, 249, 1616, 16071, 823, 4413, 5996, 839, 1552, 17487, 10119, 522, 233, 250, 352, 5037, 314, 904, 19654, 4750, 265, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
ambiguity partial bayesian updating model updating set prior either allow decision divine stool inference prior total bayesian updating fb require extreme degree excerption utmost likeliness update millilitre thus characterize general method updating set prior fond bayesian updating pb decision maker utilizes threshold determine whether prior likely adequate conditional observed info two applies bayes rule sufficiently likely prior display pb nest fb ml explore behavioral property
18
1,607,291
[ 2, 6443, 2170, 1920, 7015, 142, 7015, 376, 1388, 1896, 735, 1510, 15154, 216, 9771, 93, 1444, 1388, 1876, 1920, 7015, 7913, 2115, 3203, 1402, 1009, 59, 658, 15252, 1079, 12449, 32, 2793, 16057, 2117, 4750, 38, 1214, 2636, 421, 210, 7015, 376, 1388, 3748, 39, 40, 1920, 7015, 3727, 1510, 7016, 5218, 2413, 1988, 2252, 1388, 3258, 7821, 2820, 1059, 796, 35, 312, 4920, 1724, 2046, 3566, 3258, 1388, 3926, 3727, 17734, 7913, 2482, 1989, 6245, 559, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
biocompatible carbon nitride based light driven microswimmer propulsion biological ionic medium responsive demand drug delivery propose two dimensional organic polyheptazine imide phi carbon nitride microparticles light driven microswimmers various ionic biological medium demonstrated high speed m swimming multi component ionic solution concentration without dedicated fuel unprecedented overcoming one bottleneck previous light driven microswimmers high ion tolerance attributed favorable interplay particle textural structural nanoporosity optoionic property facilitating ionic interaction solution high salinity biocompatibility microswimmers validated cell viability test three different cell type primary cell nanopores swimmer loaded model cancer drug doxorubicin dox high loading efficiency without passive release controlled drug release reported different ph condition triggered demand also illumination light triggered boosted release dox active degradation product demonstrated oxygen poor condition using intrinsic environmentally sensitive light induced charge storage property phi could enable future theranostic application oxygen deprived tumor region organic phi microswimmers simultaneously solve current light driven microswimmer challenge high ion tolerance fuel free high speed propulsion biological medium biocompatibility controlled demand cargo release towards biomedical environmental potential future application
2
1,406,068
[ 2, 16955, 1365, 289, 172, 4000, 7828, 250, 1003, 1457, 14423, 18938, 10890, 3812, 7531, 1865, 13673, 2649, 4752, 6029, 537, 312, 673, 5768, 2266, 2749, 518, 3614, 216, 153, 557, 13264, 4000, 7828, 19948, 1003, 1457, 17150, 1002, 7531, 3812, 1865, 2327, 298, 1691, 17, 12151, 329, 1071, 7531, 533, 3280, 973, 5609, 7371, 5664, 10111, 401, 4820, 912, 1003, 1457, 17150, 298, 1710, 7369, 5762, 7477, 4305, 836, 1247, 393, 2287, 4667, 65, 2395, 7383, 11601, 559, 9413, 7531, 719, 533, 298, 7220, 450, 351, 16955, 1365, 289, 1674, 17150, 4378, 1395, 9499, 821, 776, 467, 1395, 654, 3463, 1395, 17954, 10683, 11485, 142, 4144, 4752, 6540, 48, 65, 15207, 60, 6540, 48, 298, 7244, 1370, 973, 5127, 4410, 2988, 4752, 4410, 2987, 467, 232, 587, 6761, 2649, 364, 6169, 1003, 6761, 8397, 4410, 6540, 48, 1894, 5241, 1568, 2327, 5533, 3496, 587, 291, 2996, 19829, 2607, 1003, 1627, 1682, 3408, 559, 13264, 1499, 2769, 1387, 6617, 10611, 79, 72, 542, 5533, 511, 8319, 40, 5052, 977, 5768, 13264, 17150, 2581, 1925, 845, 1003, 1457, 14423, 18938, 1136, 298, 1710, 7369, 7371, 965, 298, 1691, 10890, 3812, 1865, 16955, 1365, 289, 1674, 2988, 2649, 17971, 4410, 1766, 6516, 4405, 801, 1387, 542, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
statistic lefschetz thimble bellleggett garg inequality classical statistical approximation inspired lefschetz thimble theory treat quantum orbit possibility statistical theory complex probability statistical distribution function pdf complex valued pdfs trachinotus falcatus violation bell type inequality cannot violated genuine treasure non negative pdf theme view classical statistical approximation context melville bell type inequality viz familiar spacial bell inequality temporal leggett garg inequality bear witness classical statistical approximation violate temporal alexander melville bell type inequality yet though sense exact gratis theory whereas full quantum theory explain origin discrepancy point key deviation spatial worldly alexander melville bell type inequality comment import piece work application classic statistical estimate
7
1,691,409
[ 2, 2196, 11921, 19844, 53, 172, 5421, 80, 1080, 13178, 7640, 47, 2281, 1070, 1558, 1056, 2928, 11921, 19844, 53, 172, 476, 2174, 406, 1430, 2851, 1558, 476, 586, 1158, 1558, 555, 327, 7836, 586, 3400, 9805, 5502, 7748, 148, 183, 3830, 14872, 183, 4072, 5421, 654, 2281, 2343, 9761, 8750, 4148, 9175, 278, 2221, 7836, 9868, 1541, 1070, 1558, 1056, 1115, 4793, 345, 7270, 38, 5421, 654, 2281, 12161, 9054, 5291, 300, 5421, 2281, 1675, 12197, 13178, 7640, 47, 2281, 7393, 6810, 1070, 1558, 1056, 10472, 1675, 14258, 4793, 345, 7270, 38, 5421, 654, 2281, 2334, 3087, 2912, 1487, 281, 5442, 476, 3589, 1616, 406, 476, 1668, 2093, 4487, 563, 1231, 3279, 1325, 1258, 97, 14258, 4793, 345, 7270, 38, 5421, 654, 2281, 4895, 816, 6429, 431, 542, 5041, 1558, 999, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
massachusetts round weapon ban enforcement notice alter firearm sale massachusetts attorney general issued enforcement notice announce new rendition key phrase state assault weapon ban enforcement notice increase sale tagged violation rifle first twenty four hour followed reduction next three week sale handgun shotgun change significantly tagged violation rifle sale event fell compared previous year suggesting enforcement bill quash violation weapon sale event besides many banned weapon system go forward trade tagged assault rifle deal goose egg code high household income proportion white male overall result intimate firearm market reacts rapidly policy change partly complies firearm restriction
15
1,102,143
[ 2, 669, 221, 3714, 7140, 32, 4212, 525, 240, 58, 4999, 12784, 8345, 5152, 6679, 1618, 11796, 669, 221, 3714, 7140, 32, 513, 9980, 6109, 421, 17771, 12784, 8345, 15838, 385, 17137, 2053, 1231, 8585, 314, 446, 7293, 525, 240, 58, 4999, 12784, 8345, 1376, 11796, 12480, 4072, 2429, 5873, 38, 499, 11734, 1249, 4684, 4478, 1843, 2432, 776, 7594, 11796, 1333, 4399, 39, 3031, 4399, 39, 1173, 1411, 12480, 4072, 2429, 5873, 38, 11796, 1170, 16030, 43, 985, 912, 1821, 4853, 12784, 5699, 1419, 37, 4072, 525, 240, 58, 11796, 1170, 3923, 731, 4999, 7873, 525, 240, 58, 214, 902, 2699, 2798, 12480, 446, 7293, 2429, 5873, 38, 2951, 902, 859, 18003, 967, 298, 9835, 8757, 3592, 3554, 12058, 2612, 249, 18937, 6679, 1618, 2766, 6487, 32, 4128, 1289, 1173, 9643, 5903, 724, 6679, 1618, 4069, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
finite strain homogenization using reduced basis efficient sampling computational homogenization hyperelastic solid geometrically nonlinear context yet treated sufficient efficiency order allow real world application true multiscale setting problem addressed problem specific surrogate model founded reduced basis approximation deformation gradient microscale setup phase based upon snapshot pod deformation gradient fluctuation contrast widespread displacement based approach order reduce computational offline cost space relevant macroscopic stretch tensor sampled efficiently employing hencky strain numerical result show speed factor order significantly improved robustness retaining good accuracy open source demonstrator tool line code emphasizes simplicity efficiency method
0
85,887
[ 2, 834, 3389, 9846, 291, 2104, 2272, 790, 1836, 1259, 9846, 18127, 2903, 7459, 1144, 1115, 2334, 5512, 1883, 1370, 452, 735, 495, 1258, 542, 3021, 5919, 1163, 304, 4865, 304, 1255, 5015, 142, 15042, 2104, 2272, 1056, 2795, 1154, 14877, 3405, 584, 250, 2761, 8382, 8906, 2795, 1154, 2160, 2070, 6650, 4978, 250, 338, 452, 2068, 1259, 4869, 1103, 410, 1980, 4749, 8642, 1540, 4777, 2372, 4039, 12318, 33, 4395, 3389, 869, 249, 223, 1691, 955, 452, 1411, 2023, 2066, 8731, 1860, 865, 1090, 829, 14643, 1242, 1175, 967, 14032, 6455, 1370, 210, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
bmi behavior measurement indicator fuel poverty using aggregated load reading smart meter fuel poverty affect million household europe significant issue developed developing country globally mean fuel poor resident unable adequately warm home run necessary energy service needed lighting cooking hot water electrical appliance problem complex typically caused three factor low income high energy cost energy inefficient home united kingdom uk million family currently living fuel poverty series financial difficulty either forced self disconnect service terminated energy provider fuel poverty contributed reported death england winter due home cold recognized government social public health environmental policy issue european union eu failed provide common definition fuel poverty conventional set indicator measure chapter discus current fuel poverty strategy across eu proposes new foundational behavior measurement indicator designed directly ass monitor fuel poverty risk household using smart meter consumer access device cad data machine learning detecting activity daily living adls household appliance usage possible spot early sign financial difficulty identify support package required
3
182,046
[ 2, 7217, 31, 1017, 852, 4664, 7371, 17045, 291, 7351, 3357, 6163, 2990, 7838, 7371, 17045, 2898, 4152, 9835, 12200, 779, 1737, 1502, 3533, 4299, 5253, 823, 7371, 3496, 13854, 8573, 10714, 5856, 4885, 1769, 2446, 470, 2384, 3177, 9758, 19806, 3365, 2767, 4188, 13671, 304, 586, 2593, 3607, 776, 955, 485, 8757, 298, 470, 1103, 470, 7684, 4885, 8367, 19887, 9058, 4152, 1644, 3458, 6919, 7371, 17045, 1461, 4348, 3585, 1896, 8085, 1081, 3761, 11660, 2384, 16263, 470, 6910, 7371, 17045, 10764, 2987, 5818, 1561, 4909, 13560, 824, 4885, 3949, 8303, 6904, 1794, 2133, 2499, 4405, 1289, 1737, 7234, 6315, 4300, 10377, 693, 1277, 3017, 7371, 17045, 2172, 376, 4664, 949, 7267, 883, 845, 7371, 17045, 1168, 1496, 4300, 3259, 385, 12308, 1017, 852, 4664, 2092, 1986, 446, 5915, 7371, 17045, 1965, 9835, 291, 2990, 7838, 6269, 2083, 1201, 6807, 233, 825, 285, 3427, 2194, 5410, 6919, 198, 5463, 9835, 13671, 4451, 1117, 5310, 2467, 416, 4348, 3585, 1678, 1393, 4133, 2089, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]