text
stringlengths 33
3.74k
| category
int64 0
19
| __index_level_0__
int64 0
1.81M
| input_ids
list | attention_mask
list |
|---|---|---|---|---|
categorisation local natural action area versus book web entropy division function two form classically non local legal action check fractional laplacian show long exists suitable non local hilbert space transform underlying activity map onto purely local theory case divider single valued function equivalent local theory area natural law web entropy obtains step fails entanglement entropy deviate strongly area law case scale volume ii criterion coincident supposition equivalent provide ultimate test locality gaussian possibility rather simple inspection explicit operator content
| 11
| 253,304
|
[
2,
3967,
2105,
619,
1398,
1274,
1589,
5407,
6967,
3615,
1612,
6180,
327,
312,
337,
9076,
278,
619,
8089,
1274,
3944,
2824,
4195,
223,
891,
3030,
2345,
278,
619,
3266,
410,
1492,
1924,
2194,
813,
4116,
4641,
619,
476,
516,
7350,
34,
782,
3400,
327,
2514,
619,
476,
1589,
1398,
1746,
3615,
1612,
7209,
1228,
6167,
2308,
1612,
8694,
2120,
1589,
1746,
516,
680,
2116,
1465,
2437,
12345,
2592,
1210,
2514,
693,
8839,
821,
6355,
1476,
2851,
2728,
1004,
7627,
1359,
941,
2313,
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
] |
mathematical model describing predicting covid pandemic crisis present article study extension two deterministic model describe fresh coronavirus pandemic crisis sir model seir model manakin studied compared real information ordering support validness verbal description extract crucial info regarding pandemic canonic generative number might provide useful information interest charge per unit increase pandemic predicted fashion model next proceed making prevision comparing complex model derived seir model sird model order regain suitable one describing predicting pandemic crisis aiming answer question simple sird model able make reliable prediction deliver suitable information compare complex model
| 5
| 1,062,334
|
[
2,
2657,
142,
3706,
3285,
2222,
4149,
8197,
415,
2063,
352,
1900,
312,
3022,
142,
1734,
8667,
7299,
4149,
8197,
7359,
142,
14656,
142,
398,
11046,
39,
1590,
985,
495,
545,
4485,
1393,
1308,
691,
14454,
2045,
1890,
2620,
796,
35,
3880,
4149,
2774,
755,
2191,
486,
3107,
693,
2094,
545,
1640,
1682,
184,
1436,
1376,
4149,
2806,
4375,
142,
2432,
6327,
2016,
11217,
603,
3265,
586,
142,
1712,
14656,
142,
7359,
40,
142,
452,
356,
177,
2345,
401,
3706,
3285,
4149,
8197,
6391,
2874,
1408,
1004,
7359,
40,
142,
1728,
1225,
3338,
839,
3997,
2345,
545,
1845,
586,
142,
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
] |
first sleuthing connected gunpoint correlation function galaxy using bos cmass sample present detection non gaussian point correlation function pcf using sample galaxy bos cmass dataset measure npcf estimator philcox et aluminum including new adjustment subtract disconnected pcf contribution arising product two pcfs estimator level approach unlike late oeuvre ascertain signal racy detection gravitationally induced non gaussianity estimator validated suite lognormal simulation analytic form disconnected contribution discussed due high dimensionality pcf data compression required use signal noise based scheme calibrate theoretic covariance matrix restrict basis vector compression minimal impact detection significance facilitates traditional like analysis using suite mock catalog meaning unchanging respect different treatment noise sampling covariance rebel limited figure mock decrease minimum galaxy separation enforced pcf tetrahedron statistic modelled easily detectability pcf quasi linear authority implies become utilitarian tool constraining cosmological galaxy formation parameter upcoming spectroscopic survey
| 11
| 284,757
|
[
2,
499,
6233,
3171,
70,
2137,
13413,
3523,
1138,
327,
1243,
291,
2419,
16852,
258,
832,
415,
791,
278,
1476,
563,
1138,
327,
17173,
291,
832,
1243,
2419,
16852,
258,
608,
949,
3950,
13851,
1951,
8722,
4384,
48,
1623,
11636,
995,
385,
6884,
4157,
2369,
10316,
17173,
1688,
3659,
1568,
312,
17173,
32,
1951,
712,
338,
3564,
4482,
18863,
9494,
114,
14964,
901,
9416,
50,
791,
10962,
1627,
278,
10658,
1951,
4378,
6061,
16962,
679,
2354,
337,
10316,
1688,
2443,
824,
298,
4130,
17173,
233,
2985,
2089,
508,
901,
1068,
250,
903,
10273,
3423,
3494,
766,
8952,
2272,
1134,
2985,
2169,
1485,
791,
4866,
6622,
2239,
1079,
494,
291,
6061,
8782,
4492,
3351,
8909,
2725,
1785,
467,
2506,
1068,
1836,
3494,
12595,
73,
1676,
7547,
8782,
2957,
2151,
1243,
2782,
11174,
17173,
12703,
2196,
6828,
3112,
10517,
17173,
2119,
617,
10429,
3503,
2387,
1311,
13774,
1242,
6635,
2485,
1243,
1564,
481,
7402,
4447,
1799,
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
] |
robust step event symmetry collider introduce new event shape observable result isotropy quantifies close radiation radiation pattern collider event undifferentiated distribution observable based normalized version energy mover distance minimum piece work needed rearrange one radioactivity pattern another equal energy investigate utility event isotropy electron positron collider effect compared perfectly orbicular radiation sickness pattern well proton proton collider natural comparison either cylindrical anchor ring like blueprint compare traditional event shape observables like sphericalness thrust event symmetry exhibit larger dynamic kitchen range high spirit multiplicity event enables event isotropy distinguish dijet multijet process also separate uniform soundbox phase space contour unlike value key application modern observable study public presentation characterize powerfully coupled young physic scenario isotropic collider key signature
| 17
| 369,451
|
[
2,
872,
1228,
1170,
1078,
4296,
1077,
385,
1170,
1761,
4131,
249,
12936,
9575,
2247,
2463,
2463,
1412,
4296,
1170,
3961,
196,
429,
14352,
861,
555,
4131,
250,
5067,
1904,
470,
16951,
1193,
2151,
6429,
431,
3177,
8878,
7002,
401,
2193,
10758,
1412,
2630,
2907,
470,
1190,
3312,
1170,
12936,
1149,
6754,
4296,
610,
985,
7322,
5680,
5947,
2463,
7842,
14240,
174,
1412,
529,
2915,
2915,
4296,
1398,
1848,
1896,
7496,
8176,
2277,
1079,
6252,
4856,
1845,
2239,
1170,
1761,
3622,
1079,
3569,
691,
13094,
1170,
1078,
1835,
2076,
565,
8607,
8596,
39,
889,
298,
9633,
4897,
1170,
2296,
1170,
12936,
3152,
15100,
329,
11051,
455,
364,
3948,
1888,
3162,
5940,
584,
410,
6417,
3564,
730,
1231,
542,
2939,
4131,
352,
2133,
6303,
2636,
3039,
97,
1828,
4332,
1422,
1296,
4518,
4296,
1231,
2971,
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
] |
survival heavy flavored meson hot medium hadronization heavy quark reveals various strange feature gluon radiation backbreaking quark cheese originate hard physical process cease curtly distance order fermium imputable dead cone effect heavy quark shine small fraction vitality measured fragmentation use dz peak large hadronization conclusion short distance well short fermium production colorless little size qq bar dipole antenna assure dominance perturbative mechanism make possible factorization short farsighted distance latter corresponds final state fundamental interaction produced dipole propagating dense medium result provide good verbal description data beauty charm suppression heavy ion collision fixing transport coefficient quark twice smaller charm significantly lower note value check data suppression high pt light hadron relate reduction qcd coupling higher scale stifling radiation bushed cone upshot
| 14
| 924,163
|
[
2,
5727,
2476,
4154,
64,
4073,
3365,
1865,
15650,
2476,
2269,
3680,
1002,
7208,
571,
4679,
2463,
1057,
6437,
70,
2269,
6672,
3953,
9226,
1361,
1347,
455,
19453,
517,
7213,
50,
1193,
452,
3051,
109,
8071,
195,
8254,
3946,
610,
2476,
2269,
17620,
243,
762,
1654,
6461,
104,
2205,
6877,
508,
8,
49,
2596,
506,
15650,
3971,
1491,
1193,
529,
1491,
3051,
109,
2155,
2802,
2112,
3608,
918,
21,
56,
2590,
3822,
3817,
19413,
8903,
4011,
1112,
1225,
1117,
3838,
1491,
2209,
12073,
64,
1193,
2679,
4490,
2811,
314,
1708,
719,
2943,
3822,
5657,
2637,
1865,
249,
693,
1860,
14454,
2045,
233,
16250,
5786,
5323,
2476,
1710,
1881,
8896,
1538,
1624,
2269,
8671,
2723,
5786,
1411,
1262,
3089,
730,
3944,
233,
5323,
298,
4797,
1003,
3167,
5369,
1843,
3072,
1183,
1084,
680,
4644,
5873,
70,
2463,
4077,
4804,
3946,
8514,
8266,
36,
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
] |
parametrization surface energy etf approximation perform extended thomas fermi computation eugene wigner seitz cell neutron drip realistic functionals resulting energy department density decomposed sum bulk term surface condition compressible liquid drop analytic formula used fit surface tension effect curvature term neutron hide studied detail good replication microscopic data obtained using expression reckon mass charge cluster showing medium modification atomic vigour presence external neutron flatulence effectively accounted isospin addiction open tension first application programme aimed establishing fitting protocol dressed ore sly energy functional study easily generalized different functionals lead parametrizations used unmediated application pasta figuring neutron whizz insolence supernova matter
| 14
| 916,645
|
[
2,
6720,
854,
470,
1623,
52,
1056,
347,
1979,
10298,
3051,
1189,
4300,
2614,
38,
6108,
13128,
3170,
1395,
2185,
2200,
44,
2640,
5379,
1748,
470,
13276,
784,
8052,
1327,
2564,
612,
854,
587,
6719,
2493,
3574,
2354,
1729,
522,
1814,
854,
4404,
610,
2396,
612,
2185,
11475,
1590,
1639,
1860,
9299,
4058,
233,
970,
291,
2165,
251,
13091,
39,
669,
1682,
878,
2705,
1865,
3397,
2671,
15486,
371,
1591,
2513,
2185,
2546,
811,
15843,
38,
2760,
9842,
9042,
3752,
306,
1090,
4404,
499,
542,
11365,
6287,
5670,
3794,
2237,
10829,
266,
38,
1450,
50,
470,
1653,
352,
3112,
1582,
467,
5379,
840,
13552,
522,
7579,
6999,
861,
542,
16490,
6943,
2569,
2185,
787,
135,
49,
1731,
572,
15843,
38,
3685,
1074,
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
] |
atlas ferroicity two dimensional mgex family room temperature ferromagnetic half metal unexpected ferroelectricity ferroelasticity two dimensional ferromagnetic ferroelectric material attract unprecedented attention due spontaneous symmetry breaking induced novel property multifarious potential application systematically investigate large family mgex metal element ossete mean high throughput first principle calculation focus possible ferroic property including ferromagnetism ferroelectricity ferroelasticity discover eight stable ferromagnets including five semiconductor three half metal antiferromagnets stable ferroelectric semiconductor including two multiferroic material particularly mngese mngete predicted room temperature ferromagnetic half metal tc respectively probably first time ferroelectricity uncovered mgex family derives spontaneous symmetry breaking induced unexpected displacement ge ge atomic pair also reveal electric polarization proportion ratio electronegativity atom ivb group metal element highly favored ferroelectricity magnetic tunnel junction water splitting photocatalyst based ferroic mgex proposed example wide potential application atlas ferroicity mgex material spur great interest experimental study would lead diverse application
| 4
| 1,492,911
|
[
2,
6729,
6144,
3225,
312,
673,
5591,
387,
1644,
4273,
906,
4572,
3045,
2431,
6374,
16144,
6144,
4289,
104,
312,
673,
4572,
6825,
1222,
3790,
5664,
1392,
824,
4063,
1078,
3116,
1627,
758,
559,
8950,
1287,
183,
801,
542,
4489,
1190,
506,
1644,
5591,
387,
2431,
1241,
8618,
3394,
38,
823,
298,
4214,
499,
1779,
1672,
1102,
1117,
6144,
72,
559,
995,
11116,
16144,
6144,
4289,
104,
1806,
6013,
1834,
13395,
995,
3201,
4248,
776,
3045,
2431,
12287,
1834,
6825,
4248,
995,
312,
16243,
1222,
2779,
5296,
12145,
38,
5296,
19071,
2806,
4273,
906,
4572,
3045,
2431,
5368,
1853,
8942,
499,
290,
16144,
13045,
5591,
387,
1644,
11264,
4063,
1078,
3116,
1627,
6374,
4978,
688,
688,
2671,
1140,
364,
1605,
2253,
2425,
3592,
1467,
1149,
7135,
786,
1369,
5009,
51,
657,
2431,
1241,
1752,
10816,
16144,
826,
4185,
4443,
2767,
3586,
15598,
5016,
79,
250,
6144,
72,
5591,
387,
459,
848,
1762,
801,
542,
6729,
6144,
3225,
5591,
387,
1222,
6763,
1931,
1640,
982,
352,
2274,
840,
3122,
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
] |
geometry modular curve motivated vafas model field geometry degenerate division fqhe model abelian chemical group correspondence act transitively classical vacuum despite relevant phenomenology fqhe form hypothesis interesting mathematical property find model parametrized house modular bender labelled whole number breaker point space level correspondence unrivaled dimensional landau ginzburg theory defined ovate curve vacuum pole fundamental cellular phone modular curve cover degree diddle role apparitional cover space model presence abelian symmetry allow diagonalise berry connection vacuum bundle equation bit well known toda equation underlying structure modular curve joining geometry number hypothesis emerge intelligibly examine modular property classify critical limit model
| 8
| 629,220
|
[
2,
1583,
3369,
1684,
2808,
16519,
32,
142,
381,
1583,
3920,
6180,
14363,
2749,
142,
3361,
2531,
657,
3437,
1955,
8257,
97,
1070,
2969,
2601,
1980,
7695,
14363,
2749,
337,
2765,
2547,
2657,
559,
696,
142,
7445,
10029,
3369,
19953,
6985,
3317,
486,
2061,
59,
563,
410,
712,
3437,
9349,
6421,
64,
673,
4502,
9434,
476,
1613,
13940,
103,
1684,
2969,
5243,
1708,
4270,
6522,
3369,
1684,
2192,
1402,
19556,
4377,
1574,
4894,
2053,
61,
2192,
410,
142,
1591,
3361,
1078,
735,
3958,
491,
7147,
1960,
2969,
3465,
552,
2712,
529,
886,
11970,
552,
1924,
497,
3369,
1684,
14273,
1583,
486,
2765,
5703,
2321,
8404,
3307,
3369,
559,
3873,
1166,
625,
142,
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
] |
evaluating state art classification model bayes optimality evaluating inherent difficulty given data driven classification problem important establishing absolute benchmark evaluating progress field end natural quantity consider emphbayes error measure optimal classification error theoretically achievable given data distribution generally intractable quantity show compute exact bayes error generative model learned using normalizing flow technique relies fundamental result state bayes error invariant invertible transformation therefore compute exact bayes error learned flow model computing gaussian base distribution done efficiently using holmes diaconis ross integration moreover show varying temperature learned flow model generate synthetic datasets closely resemble standard benchmark datasets almost desired bayes error use approach conduct thorough investigation state art classification model find case model capable obtaining accuracy near optimal finally use method evaluate intrinsic hardness standard benchmark datasets class within datasets
| 6
| 1,505,998
|
[
2,
4160,
314,
930,
920,
142,
1724,
4465,
4160,
3775,
3585,
812,
233,
1457,
920,
304,
994,
5670,
3999,
1520,
4160,
3331,
381,
904,
1398,
2797,
520,
2525,
5640,
5053,
32,
857,
949,
819,
920,
857,
3470,
5391,
812,
233,
555,
2946,
6990,
2797,
223,
1893,
1487,
1724,
857,
2191,
142,
2316,
291,
8699,
928,
703,
3429,
1708,
249,
314,
1724,
857,
1406,
7229,
2081,
1840,
1893,
1487,
1724,
857,
2316,
928,
142,
1617,
1476,
2533,
555,
3870,
2372,
291,
14370,
69,
130,
11146,
86,
11888,
2984,
1415,
223,
2566,
906,
2316,
928,
142,
1941,
2338,
1037,
4578,
10510,
974,
1520,
1037,
2460,
3547,
1724,
857,
508,
338,
2040,
5557,
3111,
314,
930,
920,
142,
696,
516,
142,
3194,
4383,
865,
1027,
819,
1157,
508,
210,
1802,
2996,
6643,
974,
1520,
1037,
463,
992,
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,
1,
1,
1
] |
atacama compact array measurement molecular mass ngc cooling flow group fate cooling gas center galaxy cluster group still well understood also case complex process triggering star formation central dominant galaxy cdgs heating cooled gas agn triggeringfeeding supermassive black hole outburst present co observation early type galaxy ngc resides center ray bright group moderate cooling flow analysis combine co data antenna atacama compact array aca aca total power array tp demonstrate using array data recover total flux inferred iram single dish observation corresponds total molecular mass msun recovered flux blueshifted respect galaxy rest frame extended kpc scale suggesting low filling factor dispersed cloud find concentration molecular gas radius arcsec kpc identify giant molecular cloud total molecular gas mass centrally concentrated ray emitting gas extended north eastsouth west direction beyond iram beam also compare spatial extent molecular gas halpha emission co emission coincides bright halpha region center detect co emission fainter halpha region furthermore find two co absorption feature spatially located center galaxy within pc projected distance agn infalling km relative agn indicates two giant molecular cloud seen absorption likely within sphere influence supermassive black hole
| 10
| 1,395,060
|
[
2,
13059,
1690,
2455,
852,
2013,
669,
5266,
4282,
928,
657,
10866,
4282,
1632,
2231,
1243,
878,
657,
1923,
529,
4001,
364,
516,
586,
455,
10282,
706,
1564,
1905,
3986,
1243,
3343,
2393,
4576,
11030,
1632,
4540,
10282,
5817,
9091,
7501,
1161,
1196,
7832,
415,
235,
972,
2467,
654,
1243,
5266,
15010,
2231,
1245,
3595,
657,
5465,
4282,
928,
494,
2606,
235,
233,
3817,
13059,
1690,
2455,
181,
42,
181,
42,
1876,
716,
2455,
9034,
717,
291,
2455,
233,
1868,
1876,
2136,
5198,
13383,
53,
782,
13807,
972,
4490,
1876,
2013,
669,
8968,
5704,
2136,
19369,
64,
1785,
1243,
1620,
534,
1979,
6054,
680,
4853,
485,
5307,
955,
12504,
1861,
696,
3280,
2013,
1632,
2440,
13553,
6054,
1678,
4056,
2013,
1861,
1876,
2013,
1632,
669,
13101,
7973,
1245,
7381,
1632,
1979,
6488,
9879,
339,
3171,
11782,
1562,
2173,
13383,
53,
1786,
364,
1845,
1325,
4433,
2013,
1632,
15824,
1645,
235,
1645,
7093,
3595,
15824,
977,
2231,
2106,
235,
1645,
14857,
15824,
977,
1518,
696,
312,
235,
3274,
571,
3689,
4710,
2231,
1243,
992,
3232,
5145,
1193,
4540,
15894,
4111,
1946,
4540,
4261,
312,
4056,
2013,
1861,
3214,
3274,
3258,
992,
3018,
2368,
7501,
1161,
1196,
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
] |
exploration reward biasing reward biased maximum likelihood estimation stochastic multi armed bandit inspired reward biased maximum likelihood estimate method adaptive control propose rbmle novel family learning algorithm stochastic multi armed bandit smabs broad range smabs including parametric exponential family well non parametric sub gaussianexponential family show rbmle yield index policy choose bias growth rate rbmle reveal nontrivial interplay regret bound generally applies exponential family well sub gaussianexponential family bandit quantify finite time performance prove rbmle attains order optimality adaptively estimating unknown constant expression gaussian sub gaussian bandit extensive experiment demonstrate proposed rbmle achieves empirical regret performance competitive state art method computationally efficient scalable comparison best performing one among
| 0
| 86,463
|
[
2,
3081,
2909,
13100,
2909,
5076,
1749,
2762,
1083,
1119,
329,
7831,
4396,
2928,
2909,
5076,
1749,
2762,
999,
210,
1917,
561,
537,
12939,
80,
758,
1644,
285,
349,
1119,
329,
7831,
4396,
487,
19654,
2159,
889,
487,
19654,
995,
3105,
2488,
1644,
529,
278,
3105,
389,
1476,
14081,
1644,
223,
12939,
80,
1718,
1901,
1289,
5648,
1736,
2084,
687,
12939,
80,
1605,
4780,
4305,
4024,
451,
2946,
4920,
2488,
1644,
529,
389,
1476,
14081,
1644,
4396,
3658,
834,
290,
473,
900,
12939,
80,
10202,
452,
4465,
6452,
3262,
2411,
1269,
2165,
1476,
389,
1476,
4396,
2095,
427,
717,
459,
12939,
80,
2144,
2124,
4024,
473,
3323,
314,
930,
210,
3180,
790,
3491,
1848,
1539,
3324,
401,
1509,
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
] |
semi ball shaped grammatical construction spacetimes containing curvature singularity construct semi spherical dimensional lorentzian spacetimes satisfy einstein vacuum equation contain curve uniqueness propagated way succeeding void infinity special case construction semi global spacetimes containing fundamental interaction two madcap gravitational wave spacetimes construct considered semi global analog local spacetimes carry weak null singularity constructed luk local spacetimes arrest interaction impulsive gravitative wave constructed luk rodnianski
| 8
| 613,173
|
[
2,
2057,
3750,
5556,
14408,
1793,
6016,
3438,
2396,
3012,
1244,
2057,
3569,
673,
8445,
6016,
3664,
2982,
2969,
552,
1371,
1684,
4459,
12460,
1024,
9151,
70,
8421,
4192,
1846,
516,
1793,
2057,
1297,
6016,
3438,
1708,
719,
312,
10822,
6702,
44,
1751,
713,
6016,
1244,
1657,
2057,
1297,
2073,
619,
6016,
3771,
1207,
4040,
3012,
2776,
8582,
41,
619,
6016,
19535,
719,
11031,
1535,
342,
713,
2776,
8582,
41,
8035,
2677,
4292,
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
] |
constabulary turgid number large stable matchings empiric study deuce side big matching market college admission trouble primary statistic interest often empiric matching probability represent fraction student given type match college given type paper study concentration beat phenomenon empirical match probability touch statistic matching generated educatee optimal stable equalize mechanism introduce notion partial homogeneity preference express mail degree alignment preference college student show preference aligned empirical matching frequence tend concentrate expected value given college type mean empiric matching probability become robust realization educatee preference college preference aligned
| 18
| 1,620,448
|
[
2,
532,
8239,
9245,
12527,
40,
486,
506,
1834,
9829,
1681,
72,
352,
139,
589,
2825,
3315,
2288,
2766,
13961,
12937,
19753,
80,
3463,
2196,
1640,
1429,
1681,
72,
2288,
1158,
570,
1654,
3311,
812,
654,
2780,
13961,
812,
654,
362,
352,
3280,
8738,
1981,
2124,
2780,
1158,
10034,
2196,
2288,
1472,
5335,
103,
38,
819,
1834,
2907,
462,
1112,
1077,
2245,
2170,
10194,
3896,
5054,
157,
116,
1402,
3316,
3896,
13961,
3311,
223,
3896,
5277,
2124,
2288,
944,
162,
3325,
8844,
1945,
730,
812,
13961,
654,
823,
1681,
72,
2288,
1158,
2387,
872,
3661,
5335,
103,
38,
3896,
13961,
3896,
5277,
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
] |
efficient discrete event based particle tracking simulation high energy physic work present novel discrete event based simulation algorithm based quantized state system q numerical method q provides attractive feature particle transportation process particular efficient handling discontinuity simulation continuous system focus high energy physic hep particle tracking application typically rely discrete time based method study advantage adopting discrete event based numerical approach resolve efficiently crossing geometry boundary traveling particle purpose follow two complementary strategy first new co simulation technique connects geant simulation toolkit standalone q solver second new native q numerical stepper embedded geant compare approach latest geant default stepper different hep setup including complex real scenario cm particle detector cern technique achieve relevant simulation speedup wide range scenario particularly intensity discrete event handling dominates performance solving continuous law particle motion
| 2
| 1,487,349
|
[
2,
790,
1596,
1170,
250,
836,
2680,
679,
298,
470,
1422,
431,
415,
758,
1596,
1170,
250,
679,
349,
250,
4848,
314,
214,
21,
869,
210,
21,
1220,
4825,
571,
836,
5515,
455,
756,
790,
5678,
6878,
679,
1335,
214,
1102,
298,
470,
1422,
12204,
836,
2680,
542,
2593,
3139,
1596,
290,
250,
210,
352,
2051,
6964,
1596,
1170,
250,
869,
338,
4663,
2372,
4603,
1583,
1107,
7679,
836,
2676,
1316,
312,
4229,
1168,
499,
385,
235,
679,
703,
9889,
16055,
679,
9253,
13672,
21,
3450,
937,
385,
8031,
21,
869,
1228,
106,
3141,
16055,
1845,
338,
6271,
16055,
8146,
1228,
106,
467,
12204,
3405,
995,
586,
495,
1296,
2090,
836,
1787,
10214,
703,
1455,
1980,
679,
5746,
1762,
889,
1296,
2779,
2947,
1596,
1170,
5678,
8442,
473,
2178,
1335,
1746,
836,
1367,
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
] |
holographic study generic massless cubic gravity consider generic massless cubic gravity coupled negative bare cosmological constant mainly dimension einstein gravity extended cubic curvature invariant linearized excited spectrum around ad background contains massive mode generic massless cubic gravity general myers quasi topological gravity einsteinian cubic gravity turn massless cubic gravity admit black hole least perturbative sense coupling constant cubic term becoming infinitesimal first order approximate black hole solution arbitrary boundary topology presented addition second order approximate planar black hole exhibited well establish holographic dictionary theory presenting charge charge energy flux parameter perturbatively discussing holographic renyi entropy find somehow determine renyi entropy limit first order order renyi entropy holographic hydrodynamics discus shear viscosity entropy ratio find pattern deviating ks bound somehow controlled first order second order differ charge charge inessential overall constant
| 11
| 256,818
|
[
2,
4595,
352,
2675,
5389,
4358,
1870,
520,
2675,
5389,
4358,
1870,
1828,
2221,
10205,
2485,
1269,
3601,
443,
2982,
1870,
1979,
4358,
2396,
1406,
6462,
3934,
978,
1926,
198,
1919,
2927,
2030,
1082,
2675,
5389,
4358,
1870,
421,
4495,
1421,
2119,
1178,
1870,
2982,
599,
4358,
1870,
2405,
5389,
4358,
1870,
3255,
1161,
1196,
2100,
4011,
2912,
1183,
1269,
4358,
612,
5733,
8681,
499,
452,
2148,
1161,
1196,
533,
1891,
1107,
2376,
1588,
827,
937,
452,
2148,
3460,
1161,
1196,
8529,
529,
1227,
4595,
5887,
476,
6897,
1682,
1682,
470,
2136,
481,
11743,
8827,
4595,
6336,
1612,
696,
19971,
1988,
6336,
1612,
625,
499,
452,
452,
6336,
1612,
4595,
5990,
883,
3616,
4566,
1612,
1467,
696,
1412,
19965,
15,
32,
451,
19971,
2988,
499,
452,
937,
452,
324,
1682,
1682,
83,
18228,
39,
7532,
2612,
1269,
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
] |
approximation attractive repulsive interaction variation observables rhic using van der waals hadron sonority gas manakin experimental data instant net proton statistical distribution central au au collision diverse center mass free energy measured leading coaction relativistic hard ion collider rhic liken corresponding result van der waals type interacting hadron resonance gas vdwhrg model parameter representing attractive repulsive interaction vdwhrg model pull meet mean standard deviation skewness kurtosis net proton distribution considering triplet moment product observe strength repulsive interaction increase decrease gev strength attractive fundamental interaction similar order magnitude gev drop strength attractive repulsive interaction relative gev hand consider higher order present moment product sensitive critical point physic segregation respect strength attractive parametric quantity observed data gev support larger attractive strength compared vigour latter case repulsive interaction value similar order beam energy studied except gev parameter value well tighten due large dubiousness
| 14
| 948,425
|
[
2,
1056,
4825,
7181,
719,
1929,
3622,
10984,
291,
2362,
684,
6625,
3167,
10666,
11633,
351,
1632,
398,
11046,
39,
982,
233,
4350,
244,
2915,
1558,
555,
1905,
1111,
1111,
1881,
3122,
2231,
669,
965,
470,
2205,
2085,
235,
420,
2662,
1361,
1710,
4296,
10984,
1079,
39,
1309,
249,
2362,
684,
6625,
654,
2571,
3167,
2292,
1632,
11677,
9394,
47,
142,
481,
4491,
4825,
7181,
719,
11677,
9394,
47,
142,
8793,
5084,
823,
974,
3279,
12426,
15334,
244,
2915,
555,
2462,
5233,
1147,
1568,
2638,
2126,
7181,
719,
1376,
2957,
3598,
2126,
4825,
1708,
719,
960,
452,
2227,
3598,
3574,
2126,
4825,
7181,
719,
1946,
3598,
1333,
520,
1084,
452,
415,
1147,
1568,
2607,
1166,
563,
1422,
10159,
1785,
2126,
4825,
3105,
2797,
1059,
233,
3598,
1393,
2076,
4825,
2126,
985,
15486,
371,
2679,
516,
7181,
719,
730,
960,
452,
1786,
470,
1590,
5927,
3598,
481,
730,
529,
3342,
62,
824,
506,
7634,
3246,
691,
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
] |
modified lepton coupling cabibbo slant anomaly meaning divergence different determination cabibbo angle observed point cabibbo angle unusual person explicate lepton flavour universality lfu violate novel physic neptunium neutrino sector however modified neutrino coupling standard model gauge boson also affect many observables tender lfu violation taken account holy order as viability explanation perform model autonomous bayesian global analytic thinking come non zero modification negatron muon neutrino coupling prefer gibe result show constructive issue muon sphere necessary meaning simple model good order handed neutrino discarded sophisticated np model involve
| 16
| 826,953
|
[
2,
2741,
4607,
1183,
18906,
1450,
150,
2595,
3351,
3448,
467,
4267,
18906,
2228,
1059,
563,
18906,
2228,
7202,
2588,
419,
5286,
4607,
7521,
5214,
6849,
45,
10472,
758,
1422,
10031,
8263,
109,
2018,
3364,
627,
2741,
2018,
1183,
974,
142,
2036,
2986,
364,
2898,
731,
3622,
3325,
59,
6849,
45,
4072,
3356,
1948,
2879,
50,
452,
548,
9499,
2961,
347,
142,
2615,
1920,
1297,
2354,
11259,
3543,
278,
1362,
3397,
1554,
18624,
4795,
2018,
1183,
4427,
5484,
38,
249,
223,
7754,
1737,
4795,
3018,
2446,
3351,
1004,
142,
1860,
452,
8323,
2018,
15353,
6323,
3950,
142,
4979,
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
] |
spin polarization covariant angular impulse conserved chiral transport model using covariant angulate impulse conserved chiral transport model take score spin orbit interaction chiral fermion scatter via side jump written report quark spin polarization quark issue system rotating unpolarized massless quark cheese expatiate box feel side jump dynamically polarize quark twirl result final quark twisting polarization logical thermally equilibrated massless quark cheese self consistent vorticity field quark matter develop noncentral relativistic heavy ion collision find medium rest frame quark cheese local spin polarization focusing vertical response sheet along longitudinal shaft light direction appearance azimuthal angle dependence transverse plane similar observed experiment lambda hyperon
| 16
| 873,007
|
[
2,
740,
2425,
5938,
2669,
8959,
5908,
2687,
1538,
142,
291,
5938,
1405,
1773,
8959,
5908,
2687,
1538,
142,
1884,
2347,
740,
1430,
719,
2687,
2306,
1440,
864,
2825,
4588,
5056,
1439,
2269,
740,
2425,
2269,
1737,
214,
3964,
12742,
5389,
2269,
6672,
3953,
460,
289,
103,
2768,
13715,
2825,
4588,
4213,
1263,
462,
2269,
282,
151,
43,
249,
2811,
2269,
12059,
2425,
5615,
9285,
10015,
4391,
5389,
2269,
6672,
3953,
1081,
1460,
7629,
381,
2269,
1074,
578,
16044,
830,
2662,
2476,
1710,
1881,
696,
1865,
1620,
534,
2269,
6672,
3953,
619,
740,
2425,
3895,
4993,
1601,
5574,
1622,
4627,
19128,
36,
1003,
1562,
4441,
8357,
2228,
1991,
3415,
1954,
960,
1059,
427,
7951,
11212,
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
] |
signature spatial curvature growth social organisation write boltzmann equation massive particle spatially curved frw universe solve approximate line spy root phylogenesis matter tightness including effect spacial curve beginning order approximation shown memory early time gravitational potential affected presence spacial curvature revisit boltzmann par photon general frw background using show absolute frequency oscillation dull factor known silk damping changed comportment spatial curve last utilise modified damping factor hydrodynamic regime cosmological perturbation find analytical solution display effect spatial curvature grow mode topic denseness
| 11
| 201,026
|
[
2,
2971,
1325,
2396,
2084,
1794,
12925,
7390,
4814,
552,
2030,
836,
3689,
5596,
19154,
2690,
1925,
2148,
1175,
129,
50,
3257,
9681,
7805,
1074,
13184,
995,
610,
5291,
300,
1684,
7877,
452,
1056,
1186,
1581,
2467,
290,
1751,
801,
4392,
1591,
5291,
300,
2396,
5926,
4814,
165,
1658,
421,
19154,
1919,
291,
223,
3999,
1029,
2730,
5278,
7270,
955,
886,
3113,
41,
5166,
7795,
141,
274,
190,
1325,
1684,
2787,
14904,
2741,
5166,
955,
3512,
1526,
2485,
1723,
696,
2428,
533,
3926,
610,
1325,
2396,
1315,
1082,
2916,
2637,
691,
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
] |
calculated solar neutrino capture rate radiochemical tl base solar neutrino detector radiochemical experiment grim energy solar neutrino espial making headline exploiting isotope isocl isoga low threshold measurement type well perform apply isotl considered decade design alone feature detector nucleus integration solar neutrino flux million year owing long living daughter isopb study calculated first time cross segment charged current solar neutrino scattering isotl get account solar example predicted neutrino flux negatron neutrino survival chance solar neutrino capture rate snu decide value significantly small old estimate
| 14
| 987,677
|
[
2,
3282,
2131,
2018,
2052,
687,
2193,
8953,
8046,
2533,
2131,
2018,
1787,
2193,
8953,
427,
9259,
53,
470,
2131,
2018,
2249,
300,
2016,
15349,
3646,
7456,
13742,
43,
5183,
4462,
485,
2413,
852,
654,
529,
347,
1780,
3160,
43,
1657,
3663,
618,
5236,
571,
1787,
2993,
2984,
2131,
2018,
2136,
4152,
1821,
6340,
891,
6919,
17965,
19768,
51,
352,
3282,
499,
290,
1202,
3471,
3297,
845,
2131,
2018,
1661,
3160,
43,
3195,
1948,
2131,
848,
2806,
2018,
2136,
1554,
18624,
2018,
5727,
7255,
2131,
2018,
2052,
687,
2472,
45,
7238,
730,
1411,
762,
5541,
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
] |
mathematical theoretical account estimating risk airborne transmission covid diligence face mask use social distancing numerical poser figure risk airborne transmission respiratory infection covid award model employment basic conception fluid dynamic incorporates known scope divisor involved airborne transmission disease simplicity mathematical manikin model design swear common footing scientific inquiry across disciplinary boundary also understandable broad audience outside science academe caveat limitation model talk particular simulation used as protective covering transmission give face covering made variety fabric reduction infection risk associated increased physical distance host susceptible quantify coupling model available data scalar scattering canonical stream finally issue level physical activity workout intensity host susceptible enhancing transmission risk also assessed
| 5
| 1,086,522
|
[
2,
2657,
1238,
1948,
3262,
1965,
13690,
2264,
2222,
4562,
15963,
95,
2385,
3516,
508,
1794,
8678,
869,
2731,
34,
7547,
1965,
13690,
2264,
8902,
4745,
2222,
18705,
142,
13092,
2919,
18641,
2130,
565,
5622,
886,
6855,
6944,
4242,
13690,
2264,
2622,
6455,
2657,
398,
3936,
60,
142,
618,
9296,
66,
1277,
15542,
3372,
16656,
1496,
16459,
1107,
364,
14650,
2159,
10849,
4789,
2430,
5820,
770,
16791,
2753,
142,
8900,
756,
679,
522,
548,
15922,
4367,
2264,
1041,
2385,
4367,
2219,
1683,
5791,
1843,
4745,
1965,
1187,
3347,
1347,
1193,
3144,
6824,
3658,
1183,
142,
1192,
233,
1631,
1661,
3173,
2481,
1157,
1737,
712,
1347,
2194,
431,
754,
2947,
3144,
6824,
5756,
2264,
1965,
364,
7088,
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
] |
ethical drug cosmology technical note prescription cosmology think self interacting scalar airfield poincare patch de brood hen space whose hamiltonian explicit time dependance use path integral manipulator formalism piece work development country asymptotic past infinity prescription medicine become nontrivial yet free theory explicitly present arbitrary state projected onto vacuum cleaner establish perturbation theory prescription follow weinberg commutator formula inserting dependent convergency factor make oscillatory time integral infinity meaningful
| 9
| 1,688,942
|
[
2,
9444,
4752,
4177,
3915,
3089,
7917,
4177,
11070,
1081,
2571,
1631,
3254,
6056,
5859,
4136,
139,
1272,
89,
12318,
410,
1857,
2001,
1359,
290,
626,
189,
508,
1324,
1964,
10033,
3091,
6429,
431,
1642,
4299,
1342,
2965,
4192,
7917,
8344,
2387,
4780,
2334,
965,
476,
2706,
415,
1891,
314,
5145,
4116,
2969,
4528,
59,
1227,
1723,
476,
7917,
1316,
15587,
9207,
1729,
15049,
1521,
4570,
15843,
50,
955,
1225,
6639,
290,
1964,
4192,
4713,
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
] |
classification rejection based cost sensitive classification goal classification rejection avoid risky misclassification error critical application medical diagnosis product inspection paper based relationship classification rejection cost sensitive classification propose novel method classification rejection learning ensemble cost sensitive classifier satisfies following property avoid estimating class posterior probability resulting improved classification accuracy ii allows flexible choice loss including non convex one iii require complicated modification using different loss iv applicable binary multiclass case theoretically justifiable classification calibrated loss experimental result demonstrate usefulness proposed approach clean labeled noisy labeled positive unlabeled classification
| 0
| 54,774
|
[
2,
920,
9185,
250,
1103,
2607,
920,
1985,
920,
9185,
2468,
15047,
10944,
857,
1166,
542,
2791,
3912,
1568,
7627,
362,
250,
2175,
920,
9185,
1103,
2607,
920,
537,
758,
210,
920,
9185,
285,
2186,
1103,
2607,
2177,
4259,
2401,
559,
2468,
3262,
463,
3196,
1158,
1748,
2023,
920,
865,
1465,
1191,
3322,
2273,
1097,
995,
278,
1593,
401,
3509,
2115,
4845,
3397,
291,
467,
1097,
5009,
3649,
1446,
11934,
516,
3470,
12372,
5795,
920,
6504,
1097,
982,
249,
717,
6923,
459,
338,
4528,
3382,
2817,
3382,
1629,
4864,
920,
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
] |
b complex vitamin lifetime mixing result early belle two datum belle two experiment superkekb energy asymmetric collider substantial upgrade manufactory readiness japanese kek laboratory design luminosity machine cm belle two experimentation aim criminal record ab data component predecessor february july motorcar completed commission run achieved peak luminosity centimetre belle ii recorded data sample fb main operation superkekb pop march use good service dataset characterize performance demodulator regarding tracking shoot particle reconstructive memory get resonance capability identifying displaced decay vertex behind physic capability experiment first bench mark consists measurement lifetime mesotron mix frequence present first resolution based sample meson decay hadronic semileptonic final state
| 17
| 310,623
|
[
2,
6,
586,
9697,
7800,
39,
4413,
3153,
249,
2467,
10632,
312,
14366,
10632,
312,
427,
477,
526,
10104,
470,
4086,
4296,
4302,
9087,
5714,
283,
3746,
4253,
13401,
990,
41,
4902,
618,
3336,
825,
2090,
10632,
312,
9341,
1484,
14047,
3355,
598,
233,
1071,
16143,
13752,
12672,
6165,
9124,
9241,
11683,
1769,
2002,
2596,
3336,
15293,
10407,
10632,
1465,
5548,
233,
832,
7913,
925,
1837,
477,
526,
10104,
1066,
9332,
508,
1860,
2384,
608,
2636,
473,
13298,
19167,
7086,
6002,
3880,
2680,
12536,
148,
836,
3538,
647,
1581,
3195,
2292,
2459,
3433,
12408,
1552,
1949,
4921,
1422,
2459,
427,
499,
1504,
1280,
2834,
852,
4413,
2198,
16317,
1206,
944,
162,
415,
499,
1378,
250,
832,
4073,
1552,
5741,
12783,
2811,
314,
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
] |
constituent reckoning convention omega photoproduction constituent count ruling ccr found hold numerous hard sole process forecast differential interbreed segment high spirit energy situate follow minimal issue constituent involved reception provide depth analysis reaction utilize clas data point energy range pot gev ccr demonstrate work reaction argue stringent method acting select information test ccr utilize joseph deems taylor serial flourish upon take reward data nearby angle bin analysis naively response would photon land would expect scaling instead scaling ascertained account ostensible nonstarter naive ccr presumption try
| 16
| 894,863
|
[
2,
6725,
251,
13091,
1999,
9608,
10038,
12646,
6725,
2527,
16920,
5199,
34,
1088,
2660,
4464,
1361,
14900,
455,
4207,
1493,
206,
4573,
64,
3471,
298,
9633,
470,
5270,
103,
1316,
2169,
1737,
6725,
4242,
14833,
693,
2220,
494,
2608,
3951,
178,
82,
233,
563,
470,
889,
707,
3598,
5199,
34,
717,
431,
2608,
3475,
7537,
210,
5136,
3869,
545,
821,
5199,
34,
3951,
6548,
229,
12582,
32,
6640,
9765,
4345,
11939,
1001,
2761,
1884,
2909,
233,
5095,
2228,
2970,
494,
14810,
1601,
2274,
1658,
2382,
2274,
2934,
2147,
2464,
2147,
14964,
64,
1948,
17755,
2758,
1310,
11537,
3477,
7937,
59,
6546,
5199,
34,
11436,
658,
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
] |
pliable inelastic scattering neutrino weakly interacting monolithic particle nucleus event charge per unit wimp nucleus neutrino nucleus scattering mental process expected detected ton scale rare event demodulator investigated focus atomic isotope correspond objective nucleus current future experiment looking chicken neutrino nucleus consequence nuclear structure deliberation performed context deformed shell model based hartree fock intrinsic re publica angular momentum projection band mixing elastic inelastic tv channel prognostication high recoil muscularity fag end show detectable aberration measuredexpected signal whitethorn interpreted inclusion paltry incoherent tv channel
| 7
| 1,655,958
|
[
2,
341,
5795,
6224,
1661,
2018,
3313,
2571,
11223,
836,
2993,
1170,
1682,
184,
1436,
10075,
2993,
2018,
2993,
1661,
7896,
455,
1945,
2932,
12438,
680,
4354,
1170,
13298,
19167,
7086,
6002,
2497,
1102,
2671,
7456,
932,
1715,
2993,
845,
1387,
427,
7153,
19763,
3349,
2018,
2993,
2736,
2461,
497,
13280,
75,
2183,
1115,
5735,
3583,
142,
250,
9002,
6482,
2996,
110,
2133,
42,
2669,
1772,
2801,
1075,
3153,
2933,
6224,
8919,
1062,
12720,
75,
298,
8372,
3161,
15338,
4457,
1818,
47,
904,
223,
7517,
11301,
2205,
9976,
560,
901,
3554,
225,
9980,
4850,
4652,
6939,
4750,
50,
8398,
8919,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
cyclegan vc examining improving cyclegan vcs mel spectrogram conversion non parallel voice conversion vc proficiency learning mapping source target lecture without using parallel corpus recently cycle coherent adversarial net cyclegan vc cyclegan vc show promising resolution consider problem wide used benchmark method acting however owing ambiguity effectiveness cyclegan vcvc mel spectrograph conversion typically used mel cepstrum conversion even comparative method acting employ mel spectrogram conversion target address examined applicability cyclegan vcvc mel spectrogram conversion initial experiment discovered direct application compromised time frequence structure preserved conversion remedy propose cyclegan vc advance cyclegan vc incorporates time oftenness adaptive normalization tfan using tfan adjust scale measurement bias converted feature reflecting clip frequence structure source mel spectrogram evaluated cyclegan vc inter gender intra gender non parallel vc subjective evaluation innocence similarity showed every vc pair cyclegan vc outperforms competitive two character cyclegan vc one applied mel cepstrum mel spectrogram audio sample available
| 3
| 196,552
|
[
2,
12656,
7872,
8107,
2859,
12656,
7872,
32,
4793,
8251,
3917,
278,
1912,
4807,
3917,
7872,
1777,
1302,
285,
2256,
829,
1176,
9279,
973,
291,
1912,
3731,
1305,
2371,
2609,
1374,
244,
12656,
7872,
12656,
7872,
223,
2312,
1378,
520,
304,
1762,
522,
1520,
210,
5136,
627,
6340,
6443,
2059,
12656,
7872,
9508,
4793,
8875,
3917,
2593,
522,
4793,
17217,
109,
3917,
1040,
5776,
210,
5136,
1550,
4793,
8251,
3917,
1176,
1260,
5395,
4340,
12656,
7872,
9508,
4793,
8251,
3917,
1352,
427,
4352,
1108,
542,
12140,
290,
944,
162,
497,
6864,
3917,
10032,
537,
12656,
7872,
2722,
12656,
7872,
5622,
290,
1429,
691,
1917,
4991,
8485,
68,
291,
8485,
68,
3922,
680,
852,
1736,
8012,
571,
6028,
7905,
944,
162,
497,
829,
4793,
8251,
2702,
12656,
7872,
206,
5833,
4787,
5833,
278,
1912,
7872,
6759,
1448,
9495,
163,
162,
2447,
3568,
1933,
7872,
1140,
12656,
7872,
2113,
3323,
312,
649,
12656,
7872,
401,
1261,
4793,
17217,
109,
4793,
8251,
3006,
832,
1192,
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
] |
planckian relaxation delusion metal present critical review recent attempt introduce new quantum planckian limit temperature dependence inelastic scattering rate electron metal briefly discus main experimental fact simple theoretical model explaining linear temperature growth resistivity starting low temperature superconducting cuprates similar system commonly accepted theoretical explanation behavior also discus known quantum limit electrical conductivity resistance shown universal planckian limit inelastic relaxation rate proposed paper kind delusion related certain procedure represent experimental data
| 4
| 1,324,505
|
[
2,
12724,
2954,
1284,
1317,
2431,
415,
1166,
1977,
644,
3628,
1077,
385,
406,
12724,
625,
906,
1991,
6224,
1661,
687,
1149,
2431,
5981,
883,
925,
982,
769,
1004,
1238,
142,
6466,
617,
906,
2084,
7292,
3776,
485,
906,
3070,
10518,
960,
214,
3147,
8486,
1238,
2961,
1017,
364,
883,
886,
406,
625,
4188,
3815,
5283,
1186,
2363,
12724,
625,
6224,
2954,
687,
459,
362,
3251,
1284,
1317,
1264,
1452,
1898,
570,
982,
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
] |
quantum transport flat ring super metallicity quantum physic flat band fb system embody variety exotic phenomenon still counter intuitive feature speech quantum shipping various graphene based compound exhibit flat band tunable opening investigate despite localized nature fb state department zero grouping speed super metallic sm phase fb energy disclose sm phase robust inelastic dispersion strength controlled inter band passage fb dispersive band master science phase angle appears insensitive quasi independent gap amplitude nature lattice trouble nano patterned universal nature unconventional fb transport illustrated case negatron lieb lattice
| 13
| 1,216,464
|
[
2,
406,
1538,
2546,
2277,
477,
5059,
406,
1422,
2546,
1075,
7913,
214,
9384,
50,
1683,
5037,
1981,
1923,
2091,
5672,
571,
1767,
406,
10784,
1063,
1002,
2949,
250,
4132,
1835,
2546,
1075,
4936,
6704,
1190,
2601,
3510,
2014,
7913,
314,
13276,
1362,
9392,
1691,
477,
5203,
487,
584,
7913,
470,
17768,
487,
584,
872,
6224,
3174,
2126,
2988,
206,
1075,
6022,
7913,
6862,
1075,
5645,
2430,
584,
2228,
4181,
8710,
2119,
1312,
1571,
2233,
2014,
1276,
19753,
80,
3897,
13708,
2363,
2014,
7290,
7913,
1538,
5039,
516,
1554,
18624,
9177,
1276,
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
] |
retinal analysis mouse mannikin alzheimers disease disease multi contrast optical coherence tomography recent alzheimers disease ad patient study focused retinal analysis retina part central nervous system imaged invasively ocular method however relatively new approach occurrence role pathological feature retinal layer reduce extracellular amyloid beta accrual vascular variety still debated animal model ad therefore often victimised attempt understand disease work oculus appps transgenic mouse age week old age matched wildtype littermates imaged custom built multi contrast optical cohesion tomography october organization organisation provided combination standard reflectivity data polarization sensitive data oct angiogram tri fold contrast provided qualitative quantitative information retinal level thickness structure presence hyper brooding focus phase retardation abnormality retinal vasculature unnatural structural prop phase retardation signal observed retina reflexion similar transgenic control mouse end experiment retina brain harvested subset mouse transgenic age matched control order comparison vivo result histological analysis quantify cortical brass load
| 5
| 1,046,493
|
[
2,
9235,
494,
10609,
17875,
3936,
60,
10888,
2622,
2622,
329,
2070,
1195,
3684,
4828,
644,
10888,
2622,
198,
2708,
352,
3842,
9235,
494,
14530,
1229,
1905,
18961,
214,
10872,
8326,
97,
8608,
276,
210,
627,
3125,
385,
338,
4970,
1574,
10749,
571,
9235,
975,
2068,
18189,
590,
2591,
1336,
5028,
316,
5587,
61,
13346,
1683,
1923,
13938,
7248,
142,
198,
1840,
1429,
11487,
879,
3628,
1121,
2622,
431,
8608,
2388,
744,
2390,
335,
2614,
72,
10609,
3038,
7594,
5541,
3038,
6223,
6040,
13796,
38,
18818,
16177,
763,
10872,
3593,
3447,
329,
2070,
1195,
17436,
4828,
14341,
4770,
12925,
2082,
2033,
974,
12539,
233,
2425,
2607,
233,
5159,
12951,
5295,
1495,
4088,
2070,
2082,
4365,
2847,
545,
9235,
712,
4533,
497,
1591,
1123,
1272,
1732,
1102,
584,
1469,
330,
75,
11599,
9235,
15124,
15338,
292,
8139,
16855,
2287,
1519,
584,
1469,
330,
75,
901,
1059,
14530,
11605,
287,
960,
335,
2614,
72,
561,
10609,
904,
427,
14530,
2773,
14632,
2553,
10609,
335,
2614,
72,
3038,
6223,
561,
452,
1848,
9103,
249,
18520,
494,
3658,
10272,
3980,
258,
3357,
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
] |
obstacle constructing de sitter space string theory many attempt construct de broody hen space time string theory arguably winner proven challenging leading de setting hen swamp hypothesis quantum hypothesis soberness take stable metastable de sitter space explain within controlled approximation one lack tool construct de sitter space string theory approximation would require world set arbitrarily small parameter discipline severe constraint beyond unmatched also take understanding big bang big crunch singularity currently approachable standard estimation string theory world non existence metastable de setting hen space string theory remain matter conjecture
| 7
| 1,682,046
|
[
2,
4475,
4151,
139,
5115,
410,
2470,
476,
731,
3628,
1244,
139,
1272,
1431,
12318,
410,
290,
2470,
476,
11208,
11158,
4231,
1759,
2085,
139,
1163,
12318,
1610,
8349,
2765,
406,
2765,
5269,
799,
174,
1884,
1834,
7463,
139,
5115,
410,
1668,
992,
2988,
1056,
401,
2532,
1242,
1244,
139,
5115,
410,
2470,
476,
1056,
2274,
2115,
1258,
376,
4896,
762,
481,
7434,
5708,
986,
2173,
7579,
19538,
364,
1884,
1543,
3315,
8010,
3315,
14175,
15843,
37,
3012,
3458,
338,
195,
974,
1083,
2470,
476,
1258,
278,
1666,
7463,
139,
1163,
12318,
410,
2470,
476,
1692,
1074,
2049,
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
] |
mathematical understanding resnet feynman path integral paper aim understand residual network resnet scientifically sound way providing bridge resnet feynman path integral particular prove effect residual block equivalent partial differential equation resnet transforming process equivalently converted feynman path integral conclusion greatly help u mathematically understand advantage resnet addressing gradient vanishing issue importantly analysis offer path integral view resnet demonstrate output certain network obtained adding contribution path moreover contribution path proportional action given time integral lagrangian lay solid foundation understanding resnet provides insight future design convolutional neural network architecture based result designed network using partial differential operator validates theoritical analysis
| 6
| 1,528,103
|
[
2,
2657,
1543,
5338,
6937,
1324,
1964,
362,
1484,
1121,
3278,
256,
5338,
3372,
200,
3162,
1024,
2494,
4579,
5338,
6937,
1324,
1964,
756,
900,
610,
3278,
1505,
2514,
2170,
1493,
552,
5338,
8806,
455,
7952,
8012,
6937,
1324,
1964,
3971,
4656,
1967,
25,
7233,
1121,
2051,
5338,
5668,
1154,
4127,
1737,
5106,
494,
2380,
1324,
1964,
1541,
5338,
717,
1633,
1452,
256,
970,
4379,
1688,
1324,
1415,
1688,
1324,
4649,
1274,
812,
290,
1964,
3515,
5206,
2903,
4933,
1543,
5338,
1220,
2251,
1387,
618,
1747,
549,
256,
1091,
250,
249,
2092,
256,
291,
2170,
1493,
941,
13979,
1373,
18382,
61,
494,
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
] |
parallel weighted random sampling data structure efficient sampling set weighted item important building block many application however parallel solution known close many gap shared memory distributed memory machine give efficient fast practicable parallel algorithm building data structure support sampling single item alias table compressed data structure also yield simplified space efficient sequential algorithm alias table construction approach sampling item withwithout replacement subset poisson sampling output sensitive ie sampling algorithm use work linear number different sample also interesting sequential case weighted random permutation done sorting appropriate random deviate show possible linear work using nonlinear transformation deviate finally give communication efficient highly scalable approach weighted unweighted reservoir sampling algorithm based fully distributed model streaming algorithm might independent interest experiment alias table sampling replacement show near linear speedup construction query using thread shared memory machine experimental evaluation distributed weighted reservoir sampling node core also show good speedup
| 0
| 99,449
|
[
2,
1912,
2456,
753,
1836,
233,
497,
790,
1836,
376,
2456,
3403,
994,
2540,
1505,
731,
542,
627,
1912,
533,
886,
2247,
731,
1571,
3489,
1581,
1600,
1581,
825,
1041,
790,
1180,
16406,
195,
1912,
349,
2540,
233,
497,
1393,
1836,
782,
3403,
8440,
82,
4436,
4959,
233,
497,
364,
1718,
4980,
410,
790,
3188,
349,
8440,
82,
4436,
1793,
338,
1836,
3403,
574,
11889,
754,
8229,
2553,
3243,
1836,
1633,
2607,
1273,
1836,
349,
508,
431,
617,
486,
467,
832,
364,
2547,
3188,
516,
2456,
753,
4025,
3870,
9169,
2955,
753,
8694,
223,
1117,
617,
431,
291,
1144,
2081,
8694,
1157,
1041,
1313,
790,
1752,
3491,
338,
2456,
13271,
5288,
1836,
349,
250,
1771,
1600,
142,
4741,
349,
3107,
1312,
1640,
427,
8440,
82,
4436,
1836,
8229,
223,
1027,
617,
5746,
1793,
2325,
291,
7665,
3489,
1581,
825,
982,
1448,
1600,
2456,
5288,
1836,
1418,
1915,
364,
223,
1860,
5746,
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
] |
quantum cohomology symplectic pin multiply compute quantum cohomology symplectic flag manifold symplectic flag manifold paper described non abelian glsms superpotential although echo relation cannot directly read equality motion charles augustin de coulomb branch due ramification introduced non abelian gauge symmetry shown extracted localization formula gauge changeless form result general symplectic flag manifold cut previously established result symplectic grassmannians complete symplectic iris manifold derived mean explain contortion glsm give rise deformation quantum cohomology
| 9
| 1,683,250
|
[
2,
406,
3886,
4237,
4747,
11758,
1893,
406,
3886,
4237,
6278,
1542,
4237,
6278,
1542,
362,
2422,
278,
3361,
871,
11039,
14763,
2302,
6348,
893,
2343,
1986,
3746,
6273,
1367,
466,
4250,
13535,
60,
139,
4577,
3461,
824,
12098,
1847,
278,
3361,
2036,
1078,
1186,
3404,
2534,
1729,
2036,
1173,
2112,
337,
249,
421,
4237,
6278,
1542,
3096,
2240,
2668,
249,
4237,
14310,
1878,
4237,
11244,
1542,
1712,
823,
1668,
230,
3272,
871,
2619,
1041,
3248,
2795,
406,
3886,
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
] |
anomalous casimir effect axion electrodynamics study casimir effect axion electrodynamics finite terminal figure affect energy dispersal copulation photon prison term andor space dependent focus exceptional character linearly inhomogeneous along axis demonstrate casimir force two parallel plate perpendicular axis either attractive repulsive dependent gradient call abhorrent component casimir military force induced inhomogeneous anomalous casimir effect
| 7
| 1,729,574
|
[
2,
3414,
8022,
610,
3696,
6879,
352,
8022,
610,
3696,
6879,
834,
6120,
7547,
2898,
470,
14165,
8477,
63,
1658,
16663,
612,
4182,
410,
1521,
1102,
5688,
649,
4324,
5044,
1622,
3499,
717,
8022,
2058,
312,
1912,
4655,
6015,
3499,
1896,
4825,
7181,
1521,
1154,
1052,
598,
14750,
736,
1071,
8022,
15441,
2058,
1627,
5044,
3414,
8022,
610,
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
] |
learning speak fluently foreign language multilingual speech synthesis cross language voice clone present multispeaker multilingual text oral communication tt synthesis manikin based tacotron able produce high quality manner speaking multiple language moreover model able transfer voice across language eg synthesize fluent spanish address use english speaker voice without training bilingual parallel example transfer work across distantly related language eg english mandarin decisive achieving result using phonemic input representation encourage share model capacity across linguistic communication incorporating adversarial loss term encourage model disentangle representation speaker identity perfectly correlated language breeding data talking subject scaling model training multiple speaker oral communication incorporating autoencoding input helper brace attention training result model employ consistently synthesize graspable speech preparation speaker language meet training native foreign accent
| 3
| 180,452
|
[
2,
285,
2910,
17594,
97,
13469,
1146,
6468,
1767,
2994,
1202,
1146,
4807,
12718,
415,
14353,
5138,
9233,
6468,
1247,
266,
61,
1313,
5752,
2994,
398,
3936,
60,
250,
18309,
1728,
1990,
298,
1320,
3061,
9964,
849,
1146,
1415,
142,
1728,
1293,
4807,
1496,
1146,
1454,
7257,
17594,
13857,
1260,
508,
4884,
3132,
4807,
973,
660,
13162,
1912,
848,
1293,
431,
1496,
6359,
97,
1264,
1146,
1454,
4884,
15653,
14277,
3451,
249,
291,
6522,
14690,
33,
983,
748,
7823,
3968,
142,
2528,
1496,
5754,
1313,
4366,
1374,
1097,
612,
7823,
142,
9635,
748,
3132,
3199,
7322,
2842,
1146,
1763,
9091,
233,
15853,
2315,
2147,
142,
660,
849,
3132,
266,
61,
1313,
4366,
17679,
983,
18084,
16589,
1392,
660,
249,
142,
1550,
4408,
7257,
7631,
195,
1767,
7163,
3132,
1146,
5084,
660,
8031,
13469,
13111,
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
] |
logarithmically enhanced euler heisenberg lagrangian contribution electron gyromagnetic factor contrary previously believed two loop radiative correction factor electron bound hydrogen like ion exhibit logarithmic enhancement previously unknown contribution due long distance light light scattering amplitude taking effective field theory approach using euler heisenberg lagrangian find
| 7
| 1,584,973
|
[
2,
12259,
2646,
3742,
5064,
3515,
1688,
1149,
9791,
1208,
2216,
1614,
955,
6172,
2240,
7854,
312,
1984,
4232,
2303,
955,
1149,
451,
4015,
1079,
1710,
1835,
4108,
3066,
2240,
2411,
1688,
824,
891,
1193,
1003,
1003,
1661,
2233,
2960,
1013,
381,
476,
338,
291,
3742,
5064,
3515,
696,
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
] |
transverse momentum dependant charged pion kaon protonantiproton fragmentation function obliteration process main aim paper new determination transverse momentum dependence unpolarized atomization function tmd ffs single inclusive hadron yield electron antielectron annihilation sia process motivated need authentic consistent determination tmd ffs use recent tmd production cross section charged pi meson kaon protonsantiprotons ass inclusive hit belle collaboration datasets first transverse momentum dependance identified light charged hadron measurement sia operation analysis referred tt sk tmd ffs common gaussian distribution used hooked cross section uncertainty origin tt sk tmd ffs estimated using standard hessian proficiency study caliber tmd ffs determined analysis comparing available recent belle cross surgical incision measurement hadron coinage found good agreement particular set experimental data corresponding theory computing comparatively wide stove transverse momentum result written report suggestion identified potential next research considering theory improvement available experimental observables
| 17
| 398,755
|
[
2,
3415,
1772,
626,
150,
3297,
4722,
9982,
2915,
698,
13389,
6877,
327,
7160,
115,
75,
455,
925,
1484,
362,
385,
4267,
3415,
1772,
1991,
12742,
1369,
280,
327,
9903,
8669,
32,
782,
7436,
3167,
1718,
1149,
2048,
9446,
6047,
3576,
42,
455,
2808,
1142,
6159,
1460,
4267,
9903,
8669,
32,
508,
644,
9903,
2155,
1202,
2524,
3297,
3479,
4073,
9982,
2915,
17448,
18445,
4586,
2491,
446,
7436,
6889,
10632,
4552,
1037,
499,
3415,
1772,
626,
189,
2807,
1003,
3297,
3167,
852,
3576,
42,
1837,
494,
5452,
5752,
1607,
9903,
8669,
32,
1277,
1476,
555,
522,
16411,
64,
1202,
2524,
1451,
2093,
5752,
1607,
9903,
8669,
32,
2923,
291,
974,
6806,
1777,
1302,
352,
2772,
59,
9903,
8669,
32,
2526,
494,
3265,
1192,
644,
10632,
1202,
8377,
317,
603,
852,
3167,
8495,
215,
1088,
1860,
2626,
756,
376,
982,
233,
1309,
476,
1617,
12030,
1762,
9771,
98,
3415,
1772,
249,
5056,
1439,
8810,
2807,
801,
2432,
952,
2462,
476,
1760,
1192,
982,
3622,
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
] |
wicket computation hadronic pas order contribution mu meson persistent discrepancy stock deviation experimental measurement touchstone example anticipation muon anomalous magnetic bit unmatched promising suggestion potential universe new physic report wicket qcd reckoning hadronic emptiness polarization part based calibre ensemble flavour ameliorate wilson quark cheese address conceptual numeral challenge unity encounter along style sub pct determination hadronic void polarization contribution current condition lattice computation present performing elaborated comparing solution group
| 19
| 462,484
|
[
2,
14901,
77,
1189,
5741,
5599,
452,
1688,
3612,
4073,
5461,
4487,
5292,
3279,
982,
852,
10034,
7145,
848,
16306,
4795,
3414,
826,
2712,
7579,
19538,
2312,
8810,
801,
2690,
385,
1422,
1439,
14901,
77,
3072,
251,
13091,
1999,
5741,
1507,
16569,
2425,
1229,
250,
2772,
114,
2186,
7521,
16550,
103,
6598,
2269,
6672,
3953,
1260,
5966,
722,
61,
1136,
7332,
4874,
1622,
3725,
389,
3232,
36,
4267,
5741,
8421,
2425,
1688,
845,
587,
1276,
1189,
415,
3324,
16195,
3265,
533,
657,
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
] |
link matter towards phenomenological test unimodular asymptotic rubber constraining quantum gravity observation challenge expand musical theme interplay quantum gravity topic could key meeting challenge therefore set confront different potential candidate quantum somberness unimodular asymptotic safety weyl squared gravity asymptotically safe gravity restraint arise demanding ultraviolet complete monetary standard model specifically show within idea demanding quantum gravity resolve landau pole job abelian calibre coupling yukawa coupling strongly constrains viable gravitational parameter blank space display case weyl squared gravity dimensionless gravitational pairing also look whether gravitational contribution beta function issue sector direct functional renormalization group technique universal study dependence regulator metric field parameterization choice gauge
| 11
| 235,612
|
[
2,
1927,
1074,
1766,
5973,
821,
11841,
1342,
19303,
6635,
406,
1870,
972,
1136,
3681,
8482,
9868,
4305,
406,
1870,
2916,
1499,
1231,
8948,
1136,
1840,
376,
14448,
467,
801,
2333,
406,
9324,
350,
691,
11841,
1342,
3238,
3688,
5055,
1870,
3482,
4637,
1870,
1620,
263,
36,
3676,
8546,
6325,
1878,
13317,
974,
142,
1855,
223,
992,
2399,
8546,
406,
1870,
4663,
4502,
5243,
5769,
3361,
2772,
114,
1183,
8133,
1183,
2120,
10723,
5889,
1751,
481,
14794,
410,
3926,
516,
3688,
5055,
1870,
9284,
1751,
4759,
364,
4146,
2252,
1751,
1688,
5028,
327,
1737,
3364,
1108,
1653,
4349,
657,
703,
2363,
352,
1991,
9202,
1093,
381,
6387,
2273,
2036,
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
] |
information possibility finite vector space whereas shannon randomness related growth rate multinomial coefficient display quadratic entropy tsallis entropy connected deformation prime power multinomial coefficient enumeration iris finite vector blank dictate length dimension particular binomial coefficient count vector subspace given property obtain style combinatorial account nonadditivity quadratic entropy arises recursive counting flag show statistical system whose configuration account flag provide frequentist justification maximum entropy principle tsallis statistic introduce distinct time stochastic process associated binomial chance distribution generates time vector subspace finite theater operation order concentration measure certain typical subspace allows extend asymptotic equipartition holding setting size typical set quantified quadratic entropy saucer application shannon theory particularly source coding content correspond vector space
| 8
| 601,656
|
[
2,
545,
2851,
834,
1134,
410,
3589,
8091,
6385,
1264,
2084,
687,
11366,
1624,
3926,
2642,
1612,
11682,
1612,
2137,
2795,
3877,
716,
11366,
1624,
9041,
11244,
834,
1134,
14794,
13428,
1698,
443,
756,
8196,
1624,
2527,
1134,
3207,
812,
559,
575,
3725,
3478,
1948,
278,
14091,
786,
2642,
1612,
4530,
5402,
4183,
6278,
223,
1558,
214,
1857,
1932,
1948,
6278,
693,
11941,
9418,
1749,
1612,
1779,
11682,
2196,
1077,
2770,
290,
1119,
455,
1187,
8196,
7255,
555,
4013,
290,
1134,
3207,
834,
311,
2142,
1837,
452,
3280,
949,
1452,
2922,
3207,
1191,
971,
1342,
15260,
11751,
1163,
918,
2922,
376,
7127,
2642,
1612,
4534,
589,
34,
542,
8091,
476,
2779,
829,
3619,
2313,
932,
1134,
410,
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
] |
viscosity solution hamilton jacobi bellman isaac equation time delay system paper deal zero sum differential game dynamical system motion described nonlinear delay differential equation initial condition defined piecewise continuous function corresponding cauchy problem hamilton jacobi bellman isaac equation coinvariant derivative derived definition viscosity solution problem considered proved differential game value unique viscosity solution moreover based notion sub superdifferentials corresponding coinvariant derivative infinitesimal description viscosity solution obtained example applying result given
| 1
| 531,942
|
[
2,
4566,
533,
7177,
5483,
9836,
15104,
84,
552,
290,
2439,
214,
362,
2951,
1362,
1327,
1493,
1756,
1602,
214,
1367,
2422,
1144,
2439,
1493,
552,
1352,
587,
1613,
5760,
1335,
327,
1309,
6037,
304,
7177,
5483,
9836,
15104,
84,
552,
8495,
18471,
2790,
1712,
3017,
4566,
533,
304,
1657,
3145,
1493,
1756,
730,
2326,
4566,
533,
1415,
250,
2245,
389,
17037,
946,
39,
7532,
32,
1309,
8495,
18471,
2790,
8681,
2045,
4566,
533,
970,
848,
2709,
249,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
thousand one semantic prior modeling conceptual coding conceptual coding emerging research topic recently encodes natural image disentangled conceptual representation compression however compression performance existing method still sub optimal due lack comprehensive consideration rate constraint reconstruction quality end propose novel end end semantic prior modeling based conceptual coding scheme towards extremely low bitrate image compression leverage semantic wise deep representation unified prior entropy estimation texture synthesis specifically employ semantic segmentation map structural guidance extracting deep semantic prior provides fine grained texture distribution modeling better detail construction higher flexibility subsequent high level vision task moreover cross channel entropy model proposed exploit inter channel correlation spatially independent semantic prior leading accurate entropy estimation rate constrained training proposed scheme achieves ultra high compression ratio still enjoying high visual reconstruction quality versatility towards visual processing analysis task
| 3
| 166,055
|
[
2,
5422,
401,
1792,
1388,
1490,
5966,
3619,
5966,
3619,
3675,
952,
2916,
1305,
7368,
1398,
488,
8371,
5966,
748,
2985,
627,
2985,
473,
936,
210,
1923,
389,
819,
824,
2532,
3100,
3828,
687,
986,
2017,
1320,
904,
537,
758,
904,
904,
1792,
1388,
1490,
250,
5966,
3619,
903,
1766,
3611,
485,
16984,
488,
2985,
2906,
1792,
3756,
562,
748,
3384,
1388,
1612,
1083,
4676,
2994,
1855,
1550,
1792,
1721,
813,
2287,
5989,
5163,
562,
1792,
1388,
1220,
2489,
4222,
4676,
555,
1490,
1251,
1639,
1793,
1084,
4544,
4954,
298,
712,
2750,
546,
1415,
1202,
1062,
1612,
142,
459,
2208,
206,
1062,
1138,
3689,
1312,
1792,
1388,
2085,
1677,
1612,
1083,
687,
2421,
660,
459,
903,
2144,
2403,
298,
2985,
1467,
1923,
18165,
298,
1386,
2017,
1320,
10314,
1766,
1386,
1567,
494,
546,
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
] |
cosmic void induced hyperbolicity ii sensitivity voidwall scale cosmic void distinctive concentration region child scale universe discourse known hyperbolic property ability deviate photon ray light denseness represent damaging curvature inflated space hyperbolicity null lead distortion statistical analysis galactic survey reveal sensitiveness hyperbolicity hence distortion deference ratio voidwall scale evident parameter provides principal possibility use distortion galactic sketch revealing line sight number cosmic void characteristic weighing machine
| 11
| 294,157
|
[
2,
2689,
8421,
1627,
12130,
1465,
2307,
8421,
13304,
680,
2689,
8421,
8876,
3280,
977,
6652,
680,
2690,
9565,
886,
3108,
559,
2182,
8694,
1658,
1245,
1003,
2637,
691,
570,
3036,
1236,
2396,
14217,
410,
12130,
4040,
840,
3816,
1558,
494,
3049,
1799,
1605,
2607,
691,
12130,
2648,
3816,
15883,
162,
1467,
8421,
13304,
680,
10702,
481,
1220,
3893,
2851,
508,
3816,
3049,
6262,
6143,
1175,
6057,
486,
2689,
8421,
1548,
14085,
70,
825,
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
] |
effect material defect resonant spin wave mode nanomagnet theoretically studied resonant spin wave mode elliptical nanomagnet affected fabrication defect small local thickness variation result indicate defect nature easily result fabrication process sometimes deliberately introduced fabrication process significantly alter frequency magnetic field dependence frequency power phase profile resonant spin wave mode also spawn new resonant mode quench existing one important ramification multi device circuit based spin wave phase locked oscillator neuromorphic computing device device variability caused defect inhibitory
| 2
| 1,315,515
|
[
2,
610,
1222,
2938,
3809,
740,
713,
1082,
9445,
12870,
3470,
1590,
3809,
740,
713,
1082,
8621,
9445,
12870,
4392,
6413,
2938,
762,
619,
4533,
1929,
249,
2941,
2938,
2014,
3112,
249,
6413,
455,
6171,
17000,
1847,
6413,
455,
1411,
5152,
1029,
826,
381,
1991,
1029,
716,
584,
2379,
3809,
740,
713,
1082,
364,
17527,
54,
39,
385,
3809,
1082,
4113,
936,
401,
994,
12098,
329,
1201,
2453,
250,
740,
713,
584,
9737,
3636,
7503,
1617,
1201,
1201,
3721,
3607,
2938,
15107,
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
] |
rigidly rotating perfect fluid star dimension cataldo found rigidly rotating ego gravitate perfect fluid solution dimension negative cosmological constant density specified priori function sure radial coordinate rewrite root touchstone polar radial coordinate arbitrary barotropic equation state given equation state find deuce parameter family result unconstipated centre finite total batch angular impulse rigidly go around star analytical equation state solution analytic except surface including centre specify dimensionless twisting precisely one solution region neighboring compact part black hole neighborhood whose extent depends equation land precisely ii solution hence exterior solution exist trio class btz solution black hole point particle overspinning possible value realised star matter value causal structure genius equation country anti de sitter blank space without horizon closed timelike curvature
| 11
| 204,107
|
[
2,
3754,
97,
3964,
3261,
2130,
706,
443,
2714,
13200,
35,
1088,
3754,
97,
3964,
10913,
1535,
103,
3261,
2130,
533,
443,
2221,
2485,
1269,
784,
4953,
5325,
327,
9636,
3303,
2972,
13356,
3257,
10034,
7145,
1263,
3303,
2972,
1891,
15594,
552,
314,
812,
552,
314,
696,
139,
589,
481,
1644,
249,
4120,
79,
447,
180,
6137,
834,
1876,
3888,
2669,
8959,
3754,
97,
902,
1926,
706,
2428,
552,
314,
533,
2354,
5927,
854,
995,
6137,
8116,
9284,
12059,
3800,
401,
533,
977,
7219,
1690,
1229,
1161,
1196,
4764,
1857,
4433,
2696,
552,
2382,
3800,
1465,
533,
2648,
8104,
533,
991,
1495,
35,
463,
14479,
533,
1161,
1196,
563,
836,
8467,
8228,
1999,
1117,
730,
13822,
706,
1074,
730,
2812,
497,
201,
5428,
552,
4299,
2048,
139,
5115,
14794,
410,
973,
2486,
2064,
11312,
2396,
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
] |
review energy environmental sustainability entailment connected automated vehicle connected automated vehicle cavs poised reshape transportation mobility replacing human driver religious service provider primary state motivation vehicle automation improve safety convenience road mobility transmutation besides provides valuable chance improve vehicle energy efficiency boil emission transportation system sphere progress vehicle efficiency functionality however necessarily translate net positive environmental outcome examine interaction cav technology environment four level increasing complexity vehicle fare system urban system guild regain environmental impact come cav facilitated transformation quaternary level rather cav technology directly anticipate cyberspace overconfident environmental impact vehicle transportation system urban system level carry greater fomite utilization shift travel pattern society level offset benefit focusing fomite tier advance associated cav technology likely yield excessively optimistic estimate environmental benefit future research policy effort strive clarify extent possible synergetic consequence system level order envisage address concern regarding short long term sustainable espousal cav technology
| 15
| 1,131,009
|
[
2,
1977,
470,
4405,
12566,
13692,
2137,
2935,
2101,
2137,
2935,
2101,
14056,
14486,
2021,
12956,
1326,
5515,
3733,
7307,
1047,
4712,
18673,
3246,
2384,
6910,
3463,
314,
5798,
2101,
6942,
1354,
3238,
14630,
4028,
3733,
1595,
3584,
3923,
1220,
5318,
7255,
1354,
2101,
470,
1370,
19996,
1645,
5515,
214,
3018,
3331,
2101,
1370,
5200,
627,
4831,
8161,
244,
1629,
4405,
2890,
3307,
719,
2846,
1958,
1028,
1249,
712,
1660,
1223,
2101,
17585,
214,
4535,
214,
14523,
1110,
356,
177,
4405,
1485,
3543,
2846,
11828,
2081,
17122,
712,
2728,
2846,
1958,
1986,
10814,
4272,
2821,
18501,
3785,
4405,
1485,
2101,
5515,
214,
4535,
214,
712,
3771,
4064,
17111,
382,
6493,
2339,
3984,
1412,
6438,
712,
6563,
2539,
3895,
17111,
382,
10402,
2722,
1187,
2846,
1958,
3258,
1718,
10633,
97,
10427,
999,
4405,
2539,
1387,
952,
1289,
2901,
19573,
7346,
4433,
1117,
11631,
1614,
2736,
214,
712,
452,
16322,
215,
1260,
2625,
3880,
1491,
891,
612,
9289,
2249,
211,
61,
2846,
1958,
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
] |
joint subcarrier power allocation noma optimal approximate algorithm non orthogonal multiple access noma promising technology increase spectral efficiency enable massive connectivity future wireless network contrast orthogonal scheme ofdma noma multiplex several user frequency time resource joint subcarrier power allocation problem jspa noma np hard solve general family problem consider weighted sum rate wsr objective function achieve various tradeoff sum rate performance user fairness jspas intractability common approach literature solve separately power control subcarrier allocation also known user selection problem therefore achieving sub optimal result work first improve computational complexity existing single carrier power control user selection scheme improved procedure used basic building block design new algorithm namely opt jspa jspa grad jspa opt jspa computes optimal solution lower complexity current optimal scheme literature used benchmark optimal wsr performance simulation however pseudo polynomial time complexity remains impractical real world system low latency requirement reduce complexity propose fully polynomial time approximation scheme called jspa since approximation studied literature jspa stand allowing control tight trade performance guarantee complexity finally grad jspa heuristic based gradient descent numerical result show achieves near optimal wsr much lower complexity existing optimal method
| 0
| 810
|
[
2,
1776,
14637,
2632,
716,
3286,
5902,
819,
2148,
349,
278,
3099,
849,
2083,
5902,
2312,
1958,
1376,
1253,
1370,
2769,
2030,
3839,
1387,
2827,
256,
2070,
3099,
903,
9168,
42,
5902,
6142,
876,
881,
1029,
290,
1655,
1776,
14637,
2632,
716,
3286,
304,
14,
750,
42,
5902,
3950,
1361,
1925,
421,
1644,
304,
520,
2456,
1327,
687,
10175,
34,
1715,
327,
1455,
1002,
5738,
1327,
687,
473,
881,
3781,
14,
750,
82,
18746,
1277,
338,
1810,
1925,
5634,
716,
561,
14637,
2632,
3286,
364,
886,
881,
1869,
304,
1840,
3451,
389,
819,
249,
431,
499,
1354,
1259,
1223,
936,
782,
4198,
716,
561,
881,
1869,
903,
2023,
1898,
522,
2919,
2540,
1505,
618,
385,
349,
2511,
6420,
14,
750,
42,
14,
750,
42,
5129,
14,
750,
42,
6420,
14,
750,
42,
6901,
819,
533,
1262,
1223,
845,
819,
903,
1810,
522,
1520,
819,
10175,
34,
473,
679,
627,
3270,
1372,
290,
1223,
2685,
10118,
495,
1258,
214,
485,
3657,
2404,
2068,
1223,
537,
1771,
1372,
290,
1056,
903,
1357,
14,
750,
42,
1784,
1056,
1590,
1810,
14,
750,
42,
895,
2936,
561,
3342,
2798,
473,
2190,
1223,
1157,
5129,
14,
750,
42,
3594,
250,
1154,
3095,
869,
249,
223,
2144,
1027,
819,
10175,
34,
1804,
1262,
1223,
936,
819,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
high order cumulants last baryon number distribution non zero utilise recent result higher order cumulants conserved charge fluctuation fretwork qcd construct beggarly variance skewness kurtosis hyper skewness hyper kurtosis net heavy particle number statistical distribution little baryon chemic potential strangeness impersonal case fixed ratio galvanic flush baryon telephone number density appropriate comparison heavy ion collision present result crossover bloodline chiral transition continuum extrapolation pseudo critical transition line recently reported hotqcd baryon chemical potency mev arxiv cumulant ratio direct relevance comparison corresponding ratio measured star equal ii run beam energy gev particular point recent high pitched statistic result skewness kurtosis net profit baryon number distribution obtained star gev put strong restraint freeze parameter uniform prediction thermal quantum chromodynamics
| 7
| 1,649,205
|
[
2,
298,
452,
9997,
2787,
3941,
486,
555,
278,
1362,
14904,
644,
249,
1084,
452,
9997,
5908,
1682,
2160,
805,
7770,
152,
3072,
1244,
4051,
4462,
11055,
50,
2726,
12426,
15334,
1123,
12426,
1123,
15334,
244,
2476,
836,
486,
1558,
555,
3608,
3941,
1995,
72,
801,
13001,
4635,
1128,
61,
516,
1650,
1467,
894,
19430,
1122,
1001,
3941,
8447,
8266,
243,
486,
784,
2955,
1848,
2476,
1710,
1881,
415,
249,
6181,
6589,
1282,
2687,
908,
3269,
7256,
3270,
1166,
908,
1175,
1305,
2987,
3365,
14151,
3941,
2531,
707,
479,
4016,
4767,
13300,
1467,
1108,
4479,
1848,
1309,
1467,
2205,
706,
2907,
1465,
1769,
1786,
470,
3598,
756,
563,
644,
298,
7700,
64,
2196,
249,
12426,
15334,
244,
7559,
3941,
486,
555,
970,
706,
3598,
4612,
788,
1620,
263,
36,
8334,
481,
1888,
839,
1609,
406,
11736,
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
] |
pricing multi interval dispatch uncertainty part communique come incentive pricing multi interval economical despatch electric index operational uncertainty considered two part paper part investigates dispatch following incentive lucre maximise generator display mild condition uniform pricing scheme rolling window economic dispatch furnish dispatch follow incentive avoid judicial market uplift nonuniform price chemical mechanism referred temporal locational marginal pricing tlmp proposed extension received locational marginal pricing lmp tlmp take account multiplication ramping induced opportunity cost eliminates need market uplift guarantee full dispatch following incentive careless truth demand forecast used dispatch also shown tlmp price taking market participant incentive bid truthfully marginal cost generation part ii paper extends theoretical result develop part general meshwork localise investigates broader set carrying action measure including incentive truthful revelation ramping limit revenue adequacy operator consumer payment source profit price volatility rolling window communique model demand forecast error
| 3
| 101,467
|
[
2,
5848,
329,
2743,
10327,
1451,
1229,
890,
31,
544,
3543,
7225,
5848,
329,
2743,
15048,
2584,
2441,
2253,
1901,
4927,
1451,
1657,
312,
1229,
362,
1229,
5868,
10327,
2401,
7225,
11643,
114,
16405,
2896,
3926,
5047,
587,
1888,
5848,
903,
11137,
4029,
4252,
10327,
16378,
10327,
1316,
7225,
2468,
6344,
2225,
2766,
17748,
11483,
3377,
2531,
1112,
5452,
1675,
2309,
61,
4344,
5848,
8046,
10126,
459,
1900,
4445,
2309,
61,
4344,
5848,
6123,
44,
8046,
10126,
1884,
1948,
5649,
11408,
70,
1627,
3711,
1103,
10153,
1142,
2766,
17748,
2190,
1616,
10327,
2401,
7225,
3149,
2112,
3992,
2649,
4207,
522,
10327,
364,
1186,
8046,
10126,
3377,
2960,
2766,
4330,
7225,
4888,
14224,
97,
4344,
1103,
1356,
1229,
1465,
362,
4020,
1238,
249,
578,
1229,
421,
3453,
192,
619,
491,
5868,
6677,
376,
7601,
1274,
949,
995,
7225,
14224,
2872,
16660,
63,
11408,
70,
625,
7899,
17364,
941,
6269,
8599,
829,
7559,
3377,
6085,
11137,
4029,
890,
31,
544,
142,
2649,
4207,
857,
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
] |
wicket bore possibility physic beyond stock model written document one series whitepapers usqcd collaboration discus opportunity wicket battlefield theory inquiry prepare impact model novel physic beyond blood line model include composite higgs composite dark military issue supersymmetric hypothesis
| 19
| 437,040
|
[
2,
14901,
77,
16724,
2851,
1422,
2173,
5292,
142,
5056,
2995,
401,
1461,
3554,
3713,
106,
32,
143,
14151,
4552,
883,
3711,
14901,
77,
17963,
6056,
476,
16656,
10360,
1485,
142,
758,
1422,
2173,
6589,
1175,
142,
2373,
4186,
3130,
4186,
1397,
15441,
1737,
5400,
2765,
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
] |
enumerating higher dimensional operator shell amplitude establish simple minded formula minimum dimension operator leading helicity amplitude ea systematic tally self governing hustler construction massless non factorizable shell amplitude little group restraint solved algorithmically helicity configuration extract complete coiffure spinor structure scurvy proportion time time reduction utilize impulse conservation cuticle precondition schouten identity required taxonomical procedure explanation latter presented raiment spinor structure dot product momentum last yield self governing lorentz structure helicity amplitude apply procedure bountifulness involving particle twisting twist statistic elementary choice rule due gauge symmetry lead enumeration operator involving graviton standard exemplar molecule effective field battle theory denoted grsmeft also list independent spinor structure generated operator involving standard model particle case cover operator proportion eight
| 7
| 1,642,745
|
[
2,
15828,
1084,
673,
941,
3583,
2233,
1227,
1004,
7486,
64,
1729,
2151,
443,
941,
2085,
7123,
2233,
9774,
2202,
9939,
97,
1081,
6124,
19870,
15721,
34,
1793,
5389,
278,
955,
4241,
3583,
2233,
3608,
657,
1620,
263,
36,
3428,
14556,
7123,
1932,
1890,
1878,
235,
196,
52,
131,
8389,
497,
218,
15608,
50,
3592,
290,
290,
1843,
3951,
8959,
4356,
3096,
12497,
6186,
602,
754,
62,
3199,
2089,
19811,
6926,
61,
1898,
2961,
2679,
1588,
667,
423,
8389,
497,
4463,
1568,
1772,
2787,
1718,
1081,
6124,
4288,
497,
7123,
2233,
1780,
1898,
7492,
1235,
88,
691,
3007,
836,
12059,
3044,
2196,
4788,
2273,
2046,
824,
2036,
1078,
840,
9041,
941,
3007,
7815,
974,
12617,
2570,
1013,
381,
17963,
476,
8154,
19176,
9811,
566,
364,
3488,
1312,
8389,
497,
1472,
941,
3007,
974,
142,
836,
516,
2192,
941,
3592,
6013,
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
] |
graded sine gordon equality integrable examine inquiry integrability recently define graded sine gordon model born generalization supersymmetric sine gordon equation via appropriate auto backlund transformation construction conserved spinor valued current pair infinite set conservation police force
| 12
| 797,527
|
[
2,
5232,
10116,
7658,
6273,
4067,
3307,
16656,
7295,
1305,
2560,
5232,
10116,
7658,
142,
6737,
1781,
5400,
10116,
7658,
552,
864,
2955,
2837,
1057,
15327,
2081,
1793,
5908,
8389,
3400,
845,
1140,
2149,
376,
4356,
17694,
2058,
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
] |
conservation law stableness higher derivative extended chern simon higher derivative line business theory notorious constancy problem classical quantum degree classical instability connected unboundedness basic vigour unbounded energy spectrum lead quantum instability wide class higher derivative theory including extended chern simon leap conserved quantity supply constancy exist general gauge invariant extended chern st simon theory arbitrary finite order admits argument series conserved energy momentum tensor component general representative series bounded theory stable stability stipulation requires innocent carry chern simon hypothesis describe unitary reducible representation poincare group unstable possibility corresponds nonunitary representation
| 9
| 1,760,348
|
[
2,
4356,
1746,
1834,
691,
1084,
2790,
1979,
4559,
6585,
1084,
2790,
1175,
5605,
476,
17367,
19045,
304,
1070,
406,
1402,
1070,
2713,
2137,
5590,
691,
2919,
15486,
371,
5590,
470,
978,
840,
406,
2713,
1762,
463,
1084,
2790,
476,
995,
1979,
4559,
6585,
14092,
5908,
2797,
5658,
19045,
991,
421,
2036,
1406,
1979,
4559,
92,
6585,
476,
1891,
834,
452,
4824,
3306,
1461,
5908,
470,
1772,
1540,
1071,
421,
4323,
1461,
2010,
476,
1834,
1557,
4644,
19205,
1423,
2007,
9495,
163,
78,
3771,
4559,
6585,
2765,
1734,
3673,
12447,
748,
5859,
657,
4359,
2851,
4490,
278,
8263,
3477,
403,
748,
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
] |
digital quantum simulation schwinger model topologic term via adiabatic province grooming perform digital quantum simulation gauge theory topological term minkowski spacetime much inaccessible standard grille monte carlo simulation focus dimensional quantum electrodynamics term known schwinger model concept true vacuity state lattice schwinger model using adiabatic state matter preparation turn earmark compute outlook value fermion passel operator respect vacuum upon involve continuum demarcation find result massless case agrees cognize exact result massive case find agreement mass fluster theory belittled flock regime deviation large mountain regime estimation computational cost need take reasonable continuum limit result imply digital quantum simulation already useful tool explore non perturbative aspect standard measurement theory real time topologic term
| 7
| 1,765,221
|
[
2,
3075,
406,
679,
8305,
142,
653,
12949,
612,
864,
4702,
16884,
405,
16568,
347,
3075,
406,
679,
2036,
476,
1178,
612,
6320,
3426,
1804,
11584,
974,
9259,
7270,
38,
2545,
2565,
679,
1102,
673,
406,
6879,
612,
886,
8305,
142,
1546,
3021,
2945,
104,
314,
1276,
8305,
142,
291,
4702,
314,
1074,
7163,
2405,
1381,
1401,
1893,
13339,
730,
2306,
3103,
73,
941,
1785,
2969,
2761,
4979,
3269,
465,
14159,
75,
696,
249,
5389,
516,
7948,
4846,
3291,
1487,
249,
2030,
516,
696,
2626,
669,
1122,
4052,
476,
2197,
3393,
40,
17309,
1526,
3279,
506,
14471,
1526,
1083,
1259,
1103,
1142,
1884,
5119,
3269,
625,
249,
5675,
3075,
406,
679,
3720,
2094,
1242,
1989,
278,
4011,
2346,
974,
852,
476,
495,
290,
653,
12949,
612,
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
] |
doubly robust inference double machine learning due concern parametric model misspecification interest using machine learning adjust confounding evaluating causal effect exposure outcome unfortunately exposure effect estimator rely machine learning prediction generally subject called plug bias render naive value confidence interval invalid progress made via proposal like targeted maximum likelihood estimation recently double machine learning rely learning conditional mean outcome exposure valid inference obtained long prediction converge sufficiently fast truth focusing partially linear regression model show specific implementation machine learning technique yield exposure effect estimator small bias even one first stage prediction converge truth resulting test confidence interval doubly robust also show proposed estimator may fail regular one nuisance parameter consistently estimated nevertheless observe simulation study proposal lead reduced bias improved confidence interval coverage moderate sample
| 6
| 1,358,053
|
[
2,
6310,
872,
1444,
2377,
825,
285,
824,
2625,
3105,
142,
11125,
1640,
291,
825,
285,
3922,
9719,
4160,
2812,
610,
5063,
2890,
5725,
5063,
610,
1951,
3139,
825,
285,
839,
2946,
2315,
1357,
8092,
1736,
4407,
6546,
730,
3379,
2743,
12152,
3331,
2219,
864,
3765,
1079,
5473,
1749,
2762,
1083,
1305,
2377,
825,
285,
3139,
285,
2820,
823,
2890,
5063,
1308,
1444,
970,
891,
839,
4570,
3566,
1180,
3992,
3895,
3710,
617,
1832,
142,
223,
1255,
1797,
825,
285,
703,
1718,
5063,
610,
1951,
762,
1736,
1040,
401,
499,
2031,
839,
4570,
3992,
1748,
821,
3379,
2743,
6310,
872,
364,
223,
459,
1951,
853,
2213,
1101,
401,
10904,
481,
4408,
2923,
5222,
2638,
679,
352,
3765,
840,
2104,
1736,
2023,
3379,
2743,
3879,
5465,
832,
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
] |
bond relaxation electronic property type wtemos heterostructure using dft calculation bols bc model combined bond order length strength bond charge model topological concept obtain nonbonding bonding antibonding state type wtemos heterostructurethe energy band projection method electronic information entropy remarkable approach analyzing electronic property various structure based dft calculation study provides new way describe electronic property type heterostructures calculate electron bonding state probability
| 4
| 1,406,915
|
[
2,
4197,
2954,
2162,
559,
654,
16072,
18883,
9819,
291,
5720,
1672,
8716,
32,
6388,
142,
2500,
4197,
452,
1698,
2126,
4197,
1682,
142,
1178,
1546,
575,
278,
3210,
464,
10068,
15576,
365,
70,
314,
654,
16072,
18883,
9819,
8446,
470,
1075,
2801,
210,
2162,
545,
1612,
4739,
338,
3519,
2162,
559,
1002,
497,
250,
5720,
1672,
352,
1220,
385,
1024,
1734,
2162,
559,
654,
6835,
2967,
1149,
10068,
314,
1158,
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
] |
neutron skin csi low energy effective weak amalgamate slant coherent information neutron skin thickness atomic nucleus low energy neutrino nucleon fundamental interaction fundamental importance nuclear particle physic astrophysics well new physic beyond standard model sm mostly uncertain currently logical pliable neutrino nucleus disperse cens provides clean way extract entropy new physic beyond sm crataegus laevigata make efficaciously shift sm weakly desegregate angle low energy interaction leading effective weak integrate angle analyze cens data coherent experimentation find one parameter fit coherent data varying produce fm csi unrealistically large fundamental value fixing dispirited get go msc value two dimensional fit varying steer substantial positively charged correlativity importantly smaller key note value fm although doubtfulness orotund claim determination present field suggests multi dimensional tantrum authoritative future analysis high precision cens data implication potential divergence young physic beyond sm also discourse
| 16
| 841,232
|
[
2,
2185,
6182,
6183,
485,
470,
1013,
1207,
13978,
103,
1450,
150,
2609,
545,
2185,
6182,
4533,
2671,
2993,
485,
470,
2018,
4376,
1708,
719,
1708,
2420,
2461,
836,
1422,
7301,
529,
385,
1422,
2173,
974,
142,
487,
4461,
1328,
3458,
5615,
341,
5795,
2018,
2993,
2597,
254,
11534,
32,
1220,
4528,
1024,
1890,
1612,
385,
1422,
2173,
487,
9596,
3477,
16388,
32,
1120,
846,
17813,
3477,
1225,
4734,
84,
9937,
2339,
487,
3313,
313,
573,
1976,
103,
2228,
485,
470,
719,
2085,
1013,
1207,
5387,
2228,
1849,
11534,
32,
233,
2609,
9341,
696,
401,
481,
1814,
2609,
233,
2566,
1990,
5088,
6183,
12071,
200,
506,
1708,
730,
8896,
8122,
151,
3844,
3195,
902,
14600,
730,
312,
673,
1814,
2566,
11246,
4302,
9182,
3297,
856,
5431,
5106,
2723,
1231,
3089,
730,
5088,
2302,
14702,
789,
691,
266,
148,
554,
4315,
4267,
415,
381,
3320,
329,
673,
16017,
15215,
2953,
4976,
154,
1387,
494,
298,
2235,
11534,
32,
233,
3041,
801,
3448,
4332,
1422,
2173,
487,
364,
9565,
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
] |
ph dependent electrostatic interaction metal nanoparticle molar concentration computer virus like particle electrostatic interaction alloy nanoparticles virus attracting swell interest due antiviral activity role enhancing detection virus ultra low tightness model mb virus devoid individual string ribonucleic acid effect using core plate model dependence inner outer surface charge density ph taken account model interaction vary ph scale cause modification sign outer airfoil direction leading attractive repulsive transition electrostatic interaction computer virus alloy nanoparticle ph
| 5
| 1,021,296
|
[
2,
232,
1521,
6560,
719,
2431,
9585,
9363,
66,
3280,
2003,
6232,
1079,
836,
6560,
719,
5632,
6425,
6232,
10974,
9296,
7270,
1640,
824,
15772,
2088,
2194,
1574,
5756,
791,
6232,
2403,
485,
13184,
142,
6891,
6232,
1032,
1336,
1570,
2470,
8336,
58,
1256,
72,
8578,
610,
291,
1915,
4655,
142,
1991,
3386,
4416,
854,
1682,
784,
232,
3356,
1948,
142,
719,
2195,
232,
680,
3001,
3397,
416,
4416,
17624,
1562,
2085,
4825,
7181,
908,
6560,
719,
2003,
6232,
5632,
9585,
232,
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
] |
minimally supervised learning affective event using discourse relation recognizing affective event trigger positive negative sentiment wide range natural language processing application remains challenging problem mainly polarity event necessarily predictable constituent word paper propose propagate affective polarity using discourse relation method simple requires small seed lexicon large raw corpus experiment using japanese data show method learns affective event effectively without manually labeled data also improves supervised learning result labeled data small
| 0
| 78,917
|
[
2,
7972,
1812,
285,
11400,
1170,
291,
9565,
893,
8816,
11400,
1170,
3837,
1629,
2221,
4843,
1762,
889,
1398,
1146,
1567,
542,
2685,
1759,
304,
3601,
9153,
1170,
4831,
12349,
6725,
1963,
362,
537,
7361,
11400,
9153,
291,
9565,
893,
210,
1004,
2007,
762,
5370,
12906,
506,
4773,
3731,
427,
291,
13401,
233,
223,
210,
3600,
11400,
1170,
2760,
973,
5652,
3382,
233,
364,
2587,
1812,
285,
249,
3382,
233,
762,
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
] |
immobilize two nucleon system energy dependent effectual field hypothesis discus connect vigor grade two mote system trapped harmonic oscillator military force dot bounty nucleon nucleon scatter phase break uncoupled channel application center propose theoretical account energy dependent military force theater operation study hypothesis aim expand observables neighborhood around quotation muscularity often take unitary push horizontal surface also investigate disentangle trapping violence short distance intrinsical fundamental interaction particle
| 19
| 457,436
|
[
2,
3639,
357,
3348,
3291,
312,
4376,
214,
470,
1521,
610,
399,
381,
2765,
883,
5098,
15486,
65,
8923,
312,
17355,
214,
5235,
2865,
3636,
15441,
2058,
4463,
7492,
351,
4376,
4376,
1440,
584,
2061,
17220,
1062,
542,
2231,
537,
1238,
1948,
470,
1521,
15441,
2058,
311,
2142,
1837,
352,
2765,
1484,
3681,
3622,
4764,
1926,
5007,
3477,
63,
3161,
15338,
4457,
1429,
1884,
3673,
5456,
6353,
854,
364,
1190,
9635,
6564,
19542,
1491,
1193,
2996,
61,
1708,
719,
836,
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
] |
measurement charge separation along magnetic field signed balance function gev au au collision star data based lookup chiral magnetic effect cme heavy ion collision go decade far conclusive ground universe latterly signalize balance function sbf found estimate examining momentum ordering charged pair along plane direction proposed investigation cme overture brace observables invoked one airplane carpenter plane proportion measured couplet rest frame difference signal balance function double ratio measurement similar measure laboratory frame two observables give opposite response cme driven charge breakup compared background correlation arising resonance flow globular spin alignment larger unity regarded instance favor macrocosm cme receive experimentally larger unity auau collision gev larger realistic model calculation cme implemented finding unmanageable explain desktop scenario
| 17
| 314,704
|
[
2,
852,
1682,
2782,
1622,
826,
381,
7165,
3859,
327,
3598,
1111,
1111,
1881,
706,
233,
250,
15019,
2687,
826,
610,
9254,
2476,
1710,
1881,
902,
3663,
2209,
17039,
1636,
2690,
2679,
97,
901,
462,
3859,
327,
6817,
52,
1088,
999,
8107,
1772,
4485,
3297,
1140,
1622,
1954,
1562,
459,
3111,
9254,
14557,
131,
16589,
3622,
14960,
401,
3254,
8509,
884,
5138,
39,
115,
1954,
3592,
2205,
5552,
36,
1620,
534,
1608,
901,
3859,
327,
2377,
1467,
852,
960,
949,
4902,
534,
312,
3622,
1041,
5446,
1601,
9254,
1457,
1682,
12904,
985,
1919,
1138,
3659,
2292,
928,
7040,
740,
3316,
2076,
7332,
6833,
2086,
4561,
3572,
16202,
53,
9254,
7266,
2882,
2076,
7332,
14431,
1881,
3598,
2076,
2640,
142,
1672,
9254,
2775,
1545,
7579,
4431,
112,
195,
1668,
16227,
1296,
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
] |
instability de sitter spacetime induced quantum conformal anomaly instability quasi de sitter spacetime quantum gravitational effect discussed many work especially gravitational backreaction quantum vigour momentum tensor crucial understanding low energy description quantum soberness sometimes destabilize spacetime paper discus quasi de sitter instability gravitational backreaction involve quantum conformal anomalousness conformal trace unusual person agree quantum gravitational contribution massless conformal field affect spacetime homogeneously first derive conformal anomaly using adiabatic wkb approximation discus renormalization quantum energy momentum tensor regard dynamic hubble parametric quantity base semiclassical einstein equation including cosmological constant conformal anomaly higher derivative full term clearly shown classical de sitter attractor generally unstable viewpoint semiclassical gravity inflation destabilized except specific condition unless hunky dory tune conformal anomaly higher derivative terminal figure inflation finally turn planckian inflation hubble scale terminates latter case suggests cosmic inflation could net long eternal inflation scenario strongly constrained
| 9
| 1,709,815
|
[
2,
2713,
139,
5115,
3426,
1627,
406,
3076,
2595,
2713,
2119,
139,
5115,
3426,
406,
1751,
610,
2443,
731,
431,
2301,
1751,
13089,
406,
15486,
371,
1772,
1540,
2620,
1543,
485,
470,
2045,
406,
5269,
799,
174,
6171,
12075,
462,
3426,
362,
883,
2119,
139,
5115,
2713,
1751,
13089,
4979,
406,
3076,
3414,
691,
3076,
3158,
7202,
2588,
6027,
406,
1751,
1688,
5389,
3076,
381,
2898,
3426,
18921,
499,
1527,
3076,
2595,
291,
4702,
12431,
1056,
883,
4349,
406,
470,
1772,
1540,
2475,
565,
5083,
3105,
2797,
2533,
6800,
2982,
552,
995,
2485,
1269,
3076,
2595,
1084,
2790,
1616,
612,
5383,
1186,
1070,
139,
5115,
5925,
2946,
4359,
5844,
6800,
1870,
3109,
12075,
422,
5927,
1255,
587,
8280,
4283,
39,
4395,
15505,
50,
5618,
3076,
2595,
1084,
2790,
6120,
7547,
3109,
1157,
2405,
12724,
3109,
5083,
680,
17981,
2679,
516,
3320,
2689,
3109,
1499,
244,
891,
14898,
3109,
1296,
2120,
2421,
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
] |
tayloring bose einstein condensation surroundings rydberg impurity experiment demonstrated atom turn specific rydberg constant united state department state within bose einstein condensate cause meaning excitation phonons rydberg atom bring electronic superposition state coupling phonons lead decoherence provide theoretical basis treatment latter remnant evaluate rydberg phonon coupling coefficient using combining analytical numeric technique coefficient calculate tub correlation function phantasmal compactness establishment energy quantify influence environment form essential input follow receptive quantum organization proficiency find amplitude bath correlation scale like power law main quantum number constitution vigour scale like reflecting extreme tunability rydberg atomic property rydberg constant dross condensate thus constitute non trivial opened quantum system exceptionally controlled system coupling environmental hamiltonians
| 13
| 1,251,268
|
[
2,
6640,
70,
4705,
2982,
6657,
12634,
6746,
4794,
427,
2327,
1369,
2405,
1255,
6746,
1269,
8367,
314,
13276,
314,
992,
4705,
2982,
4496,
3001,
3351,
2418,
6934,
6746,
1369,
4161,
2162,
6012,
314,
1183,
6934,
840,
6808,
693,
1238,
2272,
2506,
2679,
6080,
1802,
6746,
3793,
1183,
1624,
291,
2855,
2428,
12380,
703,
1624,
2967,
13446,
1138,
327,
232,
150,
10284,
61,
7305,
14474,
470,
3658,
2368,
1028,
337,
2691,
983,
1316,
10163,
406,
4770,
1777,
1302,
696,
2233,
5453,
1138,
680,
1079,
716,
1746,
925,
406,
486,
3514,
185,
15486,
371,
680,
1079,
6028,
3203,
11239,
6746,
2671,
559,
6746,
1269,
4387,
258,
4496,
1214,
7078,
278,
2867,
11024,
406,
214,
13249,
2988,
214,
1183,
4405,
5317,
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
] |
global disturbance initial geometry biomechanical modelling cortical morphogenesis cortical folding pattern main characteristic geometry human brain formed gyrus ridge sulcus groove several biologic hypothesis suggested different mechanism attempt explain development cortical protein folding unnatural evolution free base hypothesis biomechanical model cortical fold proposed study compare biomechanical pretense several initial condition employ adaptative spherical parameterization approaching approach appropriate subject field explore one likely source reproducible cortical folding pattern spec initial geometry brain
| 5
| 1,029,899
|
[
2,
1297,
5302,
1352,
1583,
18697,
3082,
10272,
3005,
7805,
10272,
8713,
1412,
925,
1548,
1583,
1047,
2773,
3850,
8641,
183,
7849,
158,
15578,
183,
405,
11766,
876,
6101,
8131,
72,
2765,
4556,
467,
1112,
3628,
1668,
1642,
10272,
3861,
8713,
8139,
16855,
1085,
965,
2533,
2765,
18697,
142,
10272,
4088,
459,
352,
1845,
18697,
4506,
1267,
876,
1352,
587,
1550,
2180,
342,
3569,
6387,
8011,
338,
2955,
2315,
381,
1989,
401,
3258,
829,
9178,
10272,
8713,
1412,
539,
1352,
1583,
2773,
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
] |
donation lofar cosmic ray key science project th international cosmic ray conference icrc assembling composition contributed lofar cosmic beam key skill project crksp th international cosmic ray light conference admit madison wisconsin july th august st icrc report hold individually published posicrc paper number order appear accumulation minor modification po version applied appropriate
| 17
| 324,338
|
[
2,
7400,
75,
14186,
2689,
1245,
1231,
2430,
2487,
149,
6590,
2689,
1245,
8901,
3556,
9045,
15724,
2684,
10764,
14186,
2689,
1786,
1231,
5013,
2487,
956,
7481,
44,
149,
6590,
2689,
1245,
1003,
8901,
3255,
10822,
1697,
12184,
4227,
94,
39,
12672,
149,
13535,
92,
3556,
9045,
1439,
2660,
7869,
4549,
1458,
7422,
33,
362,
486,
452,
1913,
7933,
4926,
3397,
305,
1904,
1261,
2955,
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
] |
determination primordial helium abundance based ngc hii region small magellanic cloud place meaningful constraint big bang nucleosynthesis model primordial helium abundance determination crucial low metallicity hii region used estimate since statistical uncertainty relatively small present new determination primordial helium abundance based long slit spectrum hii region ngc small magellanic cloud obtained spectrum using three slit divided subset cover range electromagnetic spectrum used pyneb standard reduction procedure determine physical condition chemical composition found ngc assuming found primordial helium abundance value agreement value neutrino family neutron half life time obtained laboratory
| 10
| 1,309,052
|
[
2,
4267,
4543,
6510,
3436,
250,
5266,
11318,
977,
762,
10255,
1861,
3249,
4713,
986,
3315,
8010,
9690,
142,
4543,
6510,
3436,
4267,
2620,
485,
5059,
11318,
977,
522,
999,
1784,
1558,
1451,
3125,
762,
415,
385,
4267,
4543,
6510,
3436,
250,
891,
11109,
978,
11318,
977,
5266,
762,
10255,
1861,
970,
978,
291,
776,
11109,
6948,
2553,
2192,
889,
3068,
978,
522,
3434,
243,
51,
974,
1843,
1898,
1988,
1347,
587,
2531,
2684,
1088,
5266,
3416,
1088,
4543,
6510,
3436,
730,
2626,
730,
2018,
1644,
2185,
3045,
2434,
290,
970,
4902,
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
] |
constraining neutron superfluidity mode physic constrain parameter neutron superfluidity core neutron lead devising use latterly proposed essence resonance stabilisation mode ending first time calculate finite temperature fashion spectrum naturalistic model rotating superfluid neutron star accounting mu meson neutron proton entrainment interior find ordinary normal mode exhibit avoided sweep superfluid mood certain stellar temperature spin frequency near avoided crossing normal mode dissipates strongly lead substantial suppression mode instability uttermost sensitivity view annul crossing neutron superfluidity mannikin tolerate constrain latter confronting reckon spectrum observation quickly rotating neutron star crushed mass ray binary
| 14
| 925,868
|
[
2,
6635,
2185,
13462,
1082,
1422,
739,
481,
2185,
13462,
1915,
2185,
840,
15344,
508,
2679,
97,
459,
10590,
2292,
18521,
1082,
13862,
499,
290,
2967,
834,
906,
4375,
978,
15366,
142,
3964,
5174,
2185,
706,
5951,
3612,
4073,
2185,
2915,
15601,
5014,
696,
4269,
1572,
1082,
1835,
9267,
9799,
5174,
15163,
1452,
2020,
906,
740,
1029,
1027,
9267,
4603,
1572,
1082,
2815,
763,
2120,
840,
4302,
5323,
1082,
2713,
5955,
2367,
2307,
1541,
4665,
88,
4603,
2185,
13462,
17875,
3936,
60,
17281,
739,
2679,
19916,
251,
13091,
39,
978,
972,
4946,
3964,
2185,
706,
14175,
1001,
64,
669,
1245,
1446,
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
] |
axonal conduction velocity impact neuronal network cycle increasing experimental evidence suggests axonal legal action potential conduction velocity extremely adaptive parameter adult central nervous organization withal effect newfound plasticity globose brain dynamic badly tacit work analyzed oscillation biologically plausible neuronal network dissimilar conduction speed statistical distribution change network tight signal transmitting time resulted hearty network oscillation frequency alteration ranging hz effect suggest change axonal conduction velocity may significantly pretend frequency synchronizing brain rhythm intimately established connection learning computer memory cognitive process
| 5
| 1,047,641
|
[
2,
1753,
1508,
6601,
1621,
1485,
8745,
256,
2371,
1660,
982,
2188,
3320,
1753,
1508,
8089,
1274,
801,
6601,
1621,
3611,
1917,
481,
10348,
1905,
18961,
4770,
574,
61,
610,
385,
11060,
554,
8432,
1126,
859,
2773,
565,
19343,
7590,
76,
431,
3273,
2730,
9455,
6138,
8745,
256,
9222,
6601,
1691,
1558,
555,
1173,
256,
3342,
901,
10937,
290,
7708,
5737,
50,
256,
2730,
1029,
11635,
4274,
6992,
610,
1503,
1173,
1753,
1508,
6601,
1621,
853,
1411,
4506,
273,
1029,
18087,
2773,
10232,
13562,
2668,
1960,
285,
2003,
1581,
4925,
455,
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
] |
experimental search chiral magnetic effect heavy ion collision chiral magnetic consequence cme quantum chromodynamics qcd refers charge separation galvanising current chirality imbalanced quark generated along outside impregnable magnetic playing area chirality dissymmetry result interaction quark approximate chiral symmetry restoration metastable local domain gluon field non zero topologic charge qcd vacuum cleaner fluctuation local domain violate invariance potentially offering solution strong problem explaining magnitude matter antimatter asymmetry today universe relativistic heavy ion collision likely initiation high energy density quark gluon plasma restoration close together chiral symmetricalness possibly long lived strong magnetised field provide unique opportunity detect cme former measurement cme induced charge separation heavy ion collision dominated physic background major effort pay eliminate reduce background review elbow grease somewhat diachronic perspective focus late innovative experimental task search cme heavy ion collision
| 14
| 913,870
|
[
2,
982,
1106,
2687,
826,
610,
2476,
1710,
1881,
2687,
826,
2736,
9254,
406,
11736,
3072,
8613,
1682,
2782,
894,
11608,
1073,
845,
8030,
7596,
2269,
1472,
1622,
4789,
927,
1976,
2536,
172,
826,
8209,
1589,
8030,
4516,
3582,
249,
719,
2269,
2148,
2687,
1078,
7408,
7463,
619,
749,
4679,
381,
278,
1362,
653,
12949,
1682,
3072,
2969,
4528,
59,
2160,
619,
749,
10472,
3928,
3345,
7279,
533,
788,
304,
6466,
2227,
1074,
17441,
4224,
5455,
2690,
2662,
2476,
1710,
1881,
3258,
14100,
298,
470,
784,
2269,
4679,
2574,
7408,
2247,
2556,
2687,
15129,
691,
3974,
891,
7156,
788,
19792,
381,
693,
2326,
3711,
2106,
9254,
4753,
852,
9254,
1627,
1682,
2782,
2476,
1710,
1881,
3995,
1422,
1919,
1824,
2901,
4036,
7782,
2068,
1919,
1977,
19320,
54,
2917,
227,
8859,
130,
221,
6400,
2452,
1102,
4482,
7672,
982,
546,
1106,
9254,
2476,
1710,
1881,
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
] |
atomistic first principle density functional theory model single layer dry textitstratum corneum many question concerning biophysical physiological property skin still open skin aging permeability dermal absorption hydration drug transdermal delivery example process underlying mechanism unveiled work present first principle density functional quantum atomistic model single layer stratum corneum sc order contribute unveil molecular interaction behind skin property scale molecular structure sc modeled archetype hygroscopic proteic portion inside corneocytes natural moisturizing factor nmf coupled glycerol molecule represent lipid fraction sc vibrational spectrum calculated compared fourier transform infrared absorption spectroscopy ftir experimental data obtained animal model sc noticed band fingerprint region cm correctly assigned moreover calculation revealed existence two coupled vibration hydroxyl group lipid nmf methylene cm special interest since probe lipid amino acid coupling model also able predict shear modulus dry sc excellent agreement reported value literature others physicalchemical property could calculated exploring chemical accuracy molecular resolution model research dermatology cosmetology biomedical engineering specific topic drug delivery andor mechanical property skin example field would potentially take advantage approach
| 4
| 1,353,571
|
[
2,
8946,
499,
1779,
784,
1653,
476,
142,
782,
975,
10057,
4278,
3212,
36,
109,
15733,
8110,
53,
731,
1408,
5026,
14488,
8907,
559,
6182,
1923,
1090,
6182,
9339,
10732,
15151,
61,
3274,
16850,
4752,
335,
179,
1208,
43,
6029,
848,
455,
1924,
1112,
17109,
431,
415,
499,
1779,
784,
1653,
406,
8946,
142,
782,
975,
10995,
15733,
8110,
53,
218,
452,
4503,
8069,
2013,
719,
4921,
6182,
559,
680,
2013,
497,
218,
4115,
13294,
38,
648,
3300,
6529,
855,
38,
72,
7071,
3446,
15733,
12540,
12585,
14783,
1398,
13777,
11939,
4934,
955,
12163,
1828,
19493,
1181,
43,
2570,
570,
12644,
1654,
218,
6212,
978,
3282,
985,
3287,
1492,
3182,
3274,
2999,
9420,
151,
982,
233,
970,
7248,
142,
218,
14642,
1075,
7460,
977,
2090,
5356,
6718,
1415,
1672,
4246,
1666,
312,
1828,
6454,
2072,
5706,
43,
657,
12644,
12163,
13758,
670,
2090,
1846,
1640,
1784,
2634,
12644,
12556,
8578,
1183,
142,
364,
1728,
1480,
3616,
3549,
10057,
218,
4254,
2626,
2987,
730,
1810,
3892,
1347,
8953,
559,
1499,
3282,
4301,
2531,
865,
2013,
1378,
142,
952,
15151,
19531,
1321,
6945,
8131,
50,
6516,
3024,
1255,
2916,
4752,
6029,
4182,
3028,
559,
6182,
848,
381,
2274,
3345,
1884,
2051,
338,
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
] |
photonic architecture reinforcement learning last place decade seen unprecedented ontogenesis artificial news photonic engineering science drive limit modern day computing device line recent development work brings together state department art field within framework reinforcement learning present blueprint photonic implementation active learning machine incorporate contemporary algorithm sarsa learning projective simulation numerically investigate performance within typical reinforcement learning environment show naturalistic level data based noise permit even good learn mental process remarkably computer architecture enables mechanism abstraction generalization two characteristic often view primal ingredient contrived intelligence proposed computer architecture based single photon development network tunable beamsplitters simple scalable first integration portable system appear within reach good term engineering
| 13
| 1,205,983
|
[
2,
3498,
1091,
1864,
285,
2787,
3249,
3663,
3214,
5664,
4116,
2614,
1456,
2611,
4140,
3498,
3024,
2430,
4047,
625,
2939,
3040,
1617,
1201,
1175,
644,
1642,
431,
6799,
2556,
314,
13276,
930,
381,
992,
609,
1864,
285,
415,
6252,
4856,
3498,
1797,
1894,
285,
825,
4268,
8652,
349,
7042,
42,
285,
3814,
679,
3138,
1190,
473,
992,
2922,
1864,
285,
1028,
223,
15366,
712,
233,
250,
1068,
5598,
1040,
1860,
234,
7896,
455,
5344,
2003,
1091,
2296,
1112,
5869,
1781,
312,
1548,
1429,
1541,
7214,
5217,
230,
8319,
40,
3457,
459,
2003,
1091,
250,
782,
1658,
1642,
256,
4936,
1786,
18821,
3136,
32,
1004,
3491,
499,
2984,
10677,
214,
1913,
992,
2123,
1860,
612,
3024,
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
] |
particle prison cell technique sketch space charge effect advanced cryogenic gas stopper linear flatulence stopper widely used convert high get go rare isotope beam reaction production low energy beam pocket sized transverse emittance energy spread stopping high vigour ion achieved fundamental interaction buffer gas typically helium generating large quantity hee twain advanced cryogenic gas stopple acgs design tight efficient stopping extraction high intensity rare isotope electron beam function innovation process comprehensive speck cell computer code developed optimise transport extraction rare isotope acgs presence space tutelage including hee active buff gas interaction including gas period rf carpet ion extraction nozzle orifice item simulation stage together comparison experiment useable
| 16
| 815,854
|
[
2,
836,
16663,
1395,
703,
6262,
410,
1682,
610,
3753,
8659,
1632,
4847,
106,
617,
2546,
811,
15843,
38,
4847,
106,
2342,
522,
6534,
298,
3195,
902,
4354,
7456,
1786,
2608,
2155,
485,
470,
1786,
12590,
6009,
3415,
16678,
470,
2853,
6767,
298,
15486,
371,
1710,
2002,
1708,
719,
8152,
1632,
2593,
6510,
2559,
506,
2797,
678,
38,
282,
177,
3753,
8659,
1632,
4847,
204,
181,
2393,
618,
3342,
790,
6767,
3059,
298,
2947,
4354,
7456,
1149,
1786,
327,
6426,
455,
3100,
539,
41,
1395,
2003,
967,
1502,
14336,
1538,
3059,
4354,
7456,
181,
2393,
1591,
410,
13835,
16660,
112,
995,
678,
38,
1894,
19291,
1632,
719,
995,
1632,
1278,
4519,
18716,
1710,
3059,
17078,
2283,
12277,
95,
3403,
679,
2031,
2556,
1848,
427,
508,
195,
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
] |
nonlinear dispersive regularization inviscid gas dynamic ideal gas dynamic develop shock like singularity discontinuous compactness viscosity typically regularizes singularity lead stupor social organisation hand singularity hopf equation non dissipatively smoothed via kdv dispersion develop minimal conservative regularization ideal adiabatic flow accelerator pedal polytropic exponent achieved augment hamiltonian capillarity energy simplest capillarity coefficient leading local conservation law mass momentum zip entropy using standard poisson bracket constant lead korteweg like stress nonlinear term momentum equation third derivative relate bohm potential cry quantum pressure like kdv par admit sound wave leading cubic dispersion relation solitary periodic traveling undulation kdv unshakable continuous shock like resolution satisfying rankine hugoniot condition still numerical answer show gradient catastrophe avert formation pair lone wave display approximate phase angle shift scattering numerics well indicate recurrent behavior periodic domain reflexion related equivalence regularise equation special case constant specific information potential flow dimension defocussing nonlinear schrodinger equation cubically nonlinear playing role thus regularization gas dynamic may viewed generalisation single field kdv nls equation include adiabatic dynamic density speed pressure entropy dimension
| 12
| 770,794
|
[
2,
1144,
6862,
2823,
11730,
1632,
565,
2653,
1632,
565,
578,
3295,
1079,
3012,
5501,
7305,
4566,
2593,
11706,
32,
3012,
840,
1556,
810,
1794,
12925,
1333,
3012,
5367,
552,
278,
4887,
97,
8660,
864,
10582,
3174,
578,
2169,
5796,
2823,
2653,
4702,
928,
4657,
5320,
61,
15456,
3360,
2002,
3751,
2001,
685,
10310,
104,
470,
6610,
685,
10310,
104,
1624,
2085,
619,
4356,
1746,
669,
1772,
13621,
1612,
291,
974,
3243,
7931,
1269,
840,
13296,
1079,
3271,
1144,
612,
1772,
552,
3065,
2790,
5369,
10482,
801,
1523,
406,
2295,
1079,
10582,
165,
3255,
3162,
713,
2085,
4358,
3174,
893,
10581,
2229,
7679,
3961,
361,
10582,
5935,
7352,
6214,
172,
1335,
3295,
1079,
1378,
4321,
1850,
216,
18266,
11673,
148,
587,
1923,
869,
2874,
223,
1154,
15233,
809,
2929,
1564,
1140,
16122,
38,
713,
3926,
2148,
584,
2228,
2339,
1661,
14657,
529,
2941,
3222,
1017,
2229,
749,
11605,
287,
1264,
3314,
1101,
491,
552,
1846,
516,
1269,
1255,
545,
801,
928,
443,
13087,
11016,
70,
1144,
3629,
552,
16944,
97,
1144,
8209,
1574,
1214,
2823,
1632,
565,
853,
5343,
6845,
782,
381,
10582,
10320,
552,
2373,
4702,
565,
784,
1691,
2295,
1612,
443,
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
] |
supermassive black hole demographic environment pulsar timing array precision timing large array millisecond pulsar detect nanohertz gravitational wave emission supermassive binary black hole within next year review scientific opportunity detection requirement success synergy electromagnetic instrument operating
| 10
| 1,481,390
|
[
2,
7501,
1161,
1196,
7414,
1028,
4351,
4815,
2455,
2235,
4815,
506,
2455,
8864,
4351,
2106,
3897,
6508,
1751,
713,
1645,
7501,
1446,
1161,
1196,
992,
2432,
1821,
1977,
3372,
3711,
791,
2404,
1599,
10295,
3068,
3309,
3929,
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
] |
computing eigenvalue laplacian rough domain prove general mosco convergence theorem bounded euclidean domain satisfying set mild geometric hypothesis bounded domain notion implies norm resolvent convergence dirichlet laplacian turn ensures spectral convergence key element proof development novel explicit poincare type inequality result allow u construct universal algorithm capable computing eigenvalue dirichlet laplacian wide class rough domain many domain fractal boundary koch snowflake certain filled julia set included among class conversely construct counter example showing exist universal algorithm type capable computing eigenvalue dirichlet laplacian arbitrary bounded domain
| 1
| 502,060
|
[
2,
1617,
2672,
4195,
4017,
749,
900,
421,
6771,
4384,
1298,
1396,
2010,
3597,
749,
4321,
376,
5047,
1987,
2765,
2010,
749,
2245,
3503,
1053,
9391,
1298,
4615,
4195,
2405,
6499,
1253,
1298,
1231,
1241,
1689,
1642,
758,
1359,
5859,
654,
2281,
249,
735,
25,
1244,
2363,
349,
3194,
1617,
2672,
4615,
4195,
1762,
463,
4017,
749,
731,
749,
6084,
1107,
19373,
9994,
5873,
2694,
1452,
7916,
11716,
376,
4707,
1509,
463,
10074,
1244,
2091,
848,
2705,
991,
2363,
349,
654,
3194,
1617,
2672,
4615,
4195,
1891,
2010,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
bivariate normal distribution transition strength distribution many particle random matrix ensemble generated body interaction recently established via lower order moment univariate normal distribution weight function hermite polynomial describes ensemble averaged eigenvalue density many particle random matrix ensemble generated body interaction manan vyas vkb kota stat mech bf ensemble generically called embedded ensemble body interaction ee goe gue version called egoe egue respectively going beyond work lower order bivariate reduced moment transition strength density generated egoe egue hamiltonian independent egoe transition operator body used establish ensemble averaged bivariate transition density follow bivariate normal distribution presented also formula bivariate correlation coefficient value function particle number number single particle state particle occupying body rank respectively finally using bivariate normal form formula chaos measure number principal component npc transition strength state energy presented
| 14
| 949,717
|
[
2,
9922,
1572,
555,
908,
2126,
555,
731,
836,
753,
766,
2186,
1472,
1577,
719,
1305,
2668,
864,
1262,
452,
1147,
8640,
1572,
555,
1152,
327,
9724,
1372,
3705,
2186,
5172,
2672,
784,
731,
836,
753,
766,
2186,
1472,
1577,
719,
398,
68,
26,
7242,
32,
26,
10104,
7076,
3477,
3409,
16975,
6419,
2186,
7774,
1357,
3141,
2186,
1577,
719,
7366,
902,
38,
19643,
1904,
1357,
10913,
38,
1454,
284,
1853,
6655,
2173,
431,
1262,
452,
9922,
2104,
1147,
908,
2126,
784,
1472,
10913,
38,
1454,
284,
2001,
1312,
10913,
38,
908,
941,
1577,
522,
1227,
2186,
5172,
9922,
908,
784,
1316,
9922,
1572,
555,
1588,
364,
1729,
9922,
1138,
1624,
730,
327,
836,
486,
486,
782,
836,
314,
836,
19179,
1577,
1850,
1853,
1157,
291,
9922,
1572,
337,
1729,
5182,
949,
486,
3893,
1071,
3950,
33,
908,
2126,
314,
470,
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
] |
proxy expenditure weight consumer price index audit sampling inference big data statistic purchase data retail chain provide proxy measure private household expenditure item troublesome collect traditional expenditure survey due sheer amount proxy data bias due coverage selection error completely dominates variance develop test bias based audit sampling make use available survey data cannot linked proxy data source individual level however audit sampling fails yield meaningful mean squared error estimate sampling variance large compared bias big data estimate propose novel accuracy measure applicable situation provide necessary part statistical argument uptake big data source replacement traditional survey sampling application disaggregated food price index used demonstrate proposed approach
| 18
| 1,569,668
|
[
2,
6301,
15959,
1152,
6269,
3377,
1901,
13709,
1836,
1444,
3315,
233,
2196,
12232,
233,
10800,
1882,
693,
6301,
949,
3670,
9835,
15959,
3403,
19753,
4250,
957,
5554,
2239,
15959,
1799,
824,
3749,
59,
2224,
6301,
233,
1736,
824,
3879,
1869,
857,
3473,
8442,
2726,
578,
821,
1736,
250,
13709,
1836,
1225,
508,
1192,
1799,
233,
2343,
5621,
6301,
233,
829,
1570,
712,
627,
13709,
1836,
6167,
1718,
4713,
823,
5055,
857,
999,
1836,
2726,
506,
985,
1736,
3315,
233,
999,
537,
758,
865,
949,
3649,
3055,
693,
2446,
1229,
1558,
3306,
15558,
3315,
233,
829,
8229,
2239,
1799,
1836,
542,
14022,
180,
7289,
3377,
1901,
522,
717,
459,
338,
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
] |
persistence large shell structure primordial non gaussianity develop analysis pipeline characterizing topology big scale structure extracting cosmological constraint based persistent homology persistent homology technique topological data point analysis quantifies multiscale topology information set context unifying contribution cluster filum loop cosmic void cosmogenic constraint describe method seizure imprint primal local non gaussianity late time distribution dark thing halo using set body simulation proxy real data psychoanalysis best individual statistic running pipeline respective cubic volume size detect confidence volume boot test ability resolve degeneracy topological signature variation argue correctly identifying nonzero case possible via optimal templet method method relies info living mpch complementary scale deference commonly used method scale dependent bias halogalaxy power spectrum therefore still need enceinte volume method require sampling long wavelength mode tighten primordial non gaussianity moreover statistic explainable able reproduce previous result certain demarcation make fresh prediction unexplored observables filament grummet organise dark topic halo simulation box
| 9
| 1,668,914
|
[
2,
6436,
506,
3583,
497,
4543,
278,
10658,
578,
494,
3531,
4917,
2376,
3315,
680,
497,
5163,
2485,
986,
250,
5461,
4329,
5461,
4329,
703,
1178,
233,
563,
494,
9575,
5919,
2376,
545,
376,
1115,
7816,
1688,
878,
1169,
109,
1984,
2689,
8421,
1321,
6631,
986,
1734,
210,
11270,
9310,
7214,
619,
278,
10658,
4482,
290,
555,
1397,
4781,
3211,
291,
376,
1577,
679,
6301,
495,
233,
6509,
8928,
2536,
97,
9206,
1539,
1570,
2196,
4022,
3531,
5718,
4358,
2116,
918,
2106,
3379,
2116,
5326,
821,
2182,
4663,
5184,
1178,
2971,
1929,
3475,
5356,
3433,
6041,
516,
1117,
864,
819,
633,
968,
210,
210,
3429,
796,
35,
6919,
5128,
37,
4229,
680,
15883,
162,
3147,
522,
210,
680,
1521,
1736,
3211,
6068,
1218,
716,
978,
1840,
1923,
1142,
1050,
1417,
1379,
2116,
210,
2115,
1836,
891,
3110,
1082,
3342,
62,
4543,
278,
10658,
1415,
2196,
6471,
1728,
4720,
912,
249,
1452,
465,
14159,
75,
1225,
8667,
839,
8103,
3622,
4982,
11625,
564,
77,
2415,
491,
1397,
2916,
3211,
679,
2768,
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
] |
string graviphotons dark brane photon holography hypercharge portal admixture graviphotons dark brane photon standard model hypercharge analyzed full generality weakly coupled string theory direct mixing well effective term provide mingle inclusion master science chastening estimated lowest order magnitude result compared effective discipline theory eft coupling rise secret large theory pair sm string theory mixing term typically subleading compare generic eft pair compositor case obscure possibility holographic possibility also analyzed providing also suppressed conflate term msc hypercharge
| 7
| 1,642,360
|
[
2,
2470,
15522,
17427,
32,
1397,
6520,
1658,
9505,
8626,
6932,
112,
10329,
4756,
828,
1156,
15522,
17427,
32,
1397,
6520,
1658,
974,
142,
8626,
6932,
112,
3273,
1616,
7848,
3313,
1828,
2470,
476,
1108,
3153,
529,
1013,
612,
693,
591,
10940,
4652,
5645,
2430,
3208,
11101,
70,
2923,
5240,
452,
2227,
249,
985,
1013,
7434,
476,
8687,
1183,
3248,
6211,
506,
476,
1140,
487,
2470,
476,
3153,
612,
2593,
13175,
1845,
2675,
8687,
1140,
2665,
4696,
516,
16894,
2851,
4595,
2851,
364,
3273,
2494,
364,
5811,
841,
7086,
1379,
612,
14600,
8626,
6932,
112,
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
] |
anyon ocular time trajectory two particle noise double easily trapped interacting ultracold atom capable bianyon disturbance ultracold atom introduced theoretical investigation pertaining order impulse correlation map two anyons work upon spinless spin bosonic considerably spin fermionic ultracold atom trapped double well visual trap two particle organisation model according recently propose protocol emulating anyonic hubbard hamiltonian ultracold mote one dimensional lattice second order momentum correlation mirrored time flight second order hinderance pattern distance finding provide impetus time flying experimental protocol find anyonic statistic via interferometry measurement massive particle broaden cathode ray oscilloscope biphoton interferometry quantum optical
| 13
| 1,298,769
|
[
2,
15841,
8608,
276,
290,
2026,
312,
836,
1068,
2377,
3112,
5235,
2571,
7206,
1369,
3194,
10641,
50,
58,
5302,
7206,
1369,
1847,
1238,
3111,
12008,
452,
8959,
1138,
813,
312,
12481,
431,
2761,
13583,
740,
5265,
5996,
740,
5046,
7206,
1369,
5235,
2377,
529,
1386,
2952,
312,
836,
12925,
142,
2605,
1305,
537,
2237,
16539,
18557,
5772,
2001,
7206,
17355,
401,
673,
1276,
937,
452,
1772,
1138,
4327,
64,
290,
5479,
937,
452,
7729,
189,
1412,
1193,
1545,
693,
927,
77,
183,
290,
11629,
982,
2237,
696,
18557,
2196,
864,
8332,
852,
2030,
836,
16638,
13841,
1245,
1699,
13749,
8033,
8266,
1042,
8332,
406,
1195,
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
] |
measurement tidy sum total difference bind energy hypertriton antihypertriton harmonise cpt theorem state combined cognitive operation explosive charge conjugation parity transformation meter reverse moldiness conserve particle antiparticle mass lifetime opposite charge magnetic import test cpt symmetricalness nucleus containing unusual quark specifically hypertriton hypernucleus light peerless yet find consists proton neutron hyperon datum memorialize star detectorcitetpchfttof relativistic overweight ion collider metre hyperon binding energy hypertriton feel differs widely practice valueciteb predictionsciteweak decrepit weak weak hypertriton treated weakly bounce placement result place stringent restraint hyperon nucleon interactioncitehammer maven antihl implication understanding neutron adept interior strange issue may presentcitechatterjee precise comparison stack hypertriton antihypertriton allows test cpt symmetry nucleus strangeness first time observe deviation expected accurate symmetry
| 16
| 872,630
|
[
2,
852,
12882,
50,
1327,
1876,
1608,
14565,
470,
16831,
15573,
58,
2048,
16269,
4750,
3289,
14985,
491,
12712,
1396,
314,
2500,
4925,
1837,
11356,
1682,
11855,
4258,
2081,
7838,
6049,
9363,
176,
691,
13955,
836,
18262,
669,
4413,
5446,
1682,
826,
816,
821,
12712,
15129,
691,
2993,
3438,
7202,
2269,
1855,
16831,
15573,
58,
1123,
15731,
183,
1003,
5942,
2112,
2334,
696,
2834,
2915,
2185,
11212,
14366,
9746,
300,
462,
706,
1787,
3395,
1379,
36,
2508,
17575,
7140,
1268,
2662,
887,
5205,
1710,
4296,
18773,
11212,
4610,
470,
16831,
15573,
58,
13715,
7469,
2342,
2686,
730,
3395,
1379,
51,
839,
637,
382,
6209,
2331,
9174,
36,
1207,
1207,
16831,
15573,
58,
5512,
3313,
9414,
6295,
249,
3249,
7537,
1620,
263,
36,
11212,
4376,
719,
3395,
1379,
9588,
4986,
157,
2289,
2048,
8594,
3041,
1543,
2185,
19680,
518,
5014,
7208,
1737,
853,
415,
3395,
17011,
1216,
55,
1809,
3235,
1848,
3380,
16831,
15573,
58,
2048,
16269,
4750,
3289,
1191,
821,
12712,
1078,
2993,
13001,
499,
290,
2638,
3279,
1945,
1677,
1078,
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
] |
systemic liquidity contagion european interbank market systemic liquidity risk defined imf risk simultaneous liquidity difficulty multiple financial institution key topic macroprudential policy financial stress analysis specialized model simulate funding liquidity risk contagion available require bank bilateral exposure data also balance sheet data sufficient granularity hardly available alternatively risk analysis interbank network done via centrality measure underlying graph capturing interconnected hence prone risk spreading bank paper propose model relies epidemic model simulate contagion interbank market using funding liquidity shortage mechanism contagion process model enriched country bank risk feature take account heterogeneity interbank market proposed model particularly useful full set data necessary run specialized model available since interbank network fully available economic driven reconstruction method also proposed retrieve interbank network constraining standard reconstruction methodology real financial indicator show contagion model able reproduce systemic liquidity risk across different year country result suggests proposed model successfully used valid alternative complex one
| 15
| 1,138,753
|
[
2,
10752,
14393,
10140,
7234,
206,
13405,
2766,
10752,
14393,
1965,
1613,
11404,
1965,
2041,
14393,
3585,
849,
4348,
7272,
1231,
2916,
3572,
1968,
1150,
39,
7532,
1289,
4348,
3271,
494,
6768,
142,
4499,
13440,
14393,
1965,
10140,
1192,
2115,
6907,
13956,
5063,
233,
364,
3859,
5574,
233,
1883,
8698,
10705,
1192,
9476,
1965,
494,
206,
13405,
256,
3870,
864,
6663,
949,
1924,
471,
5147,
9750,
2648,
6841,
1965,
5498,
6907,
362,
537,
142,
3429,
4450,
142,
4499,
10140,
206,
13405,
2766,
291,
13440,
14393,
14314,
1112,
10140,
455,
142,
7291,
4299,
6907,
1965,
571,
1884,
1948,
4989,
206,
13405,
2766,
459,
142,
2779,
2094,
1616,
376,
233,
2446,
1769,
6768,
142,
1192,
1784,
206,
13405,
256,
1771,
1192,
4252,
1457,
2017,
210,
364,
459,
8555,
206,
13405,
256,
6635,
974,
2017,
2530,
495,
4348,
4664,
223,
10140,
142,
1728,
4720,
10752,
14393,
1965,
1496,
467,
1821,
4299,
249,
3320,
459,
142,
3334,
522,
1308,
2262,
586,
401,
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
] |
censored em algorithm weibull mixture application arrival time market order previous analysis problem zero inflated time data caused high frequency trading electronic order book handled left truncating inter arrival time demonstrated using rigorous statistical method weibull distribution describes corresponding stochastic dynamic inter arrival time difference except region near zero however since truncated weibull distribution able describe huge zero inflated probability mass neighbourhood zero making approximately data limit order became clear entire probability distribution mixture distribution weibull distribution significant part use censored em algorithm analyse data difference arrival time market order usually much lower percentage zero inflation four selected stock trading london stock exchange
| 15
| 1,182,879
|
[
2,
12244,
323,
349,
15909,
2914,
542,
5828,
290,
2766,
452,
912,
494,
304,
1362,
14217,
290,
233,
3607,
298,
1029,
6198,
2162,
452,
6967,
10912,
3698,
4342,
413,
206,
5828,
290,
2327,
291,
3699,
1558,
210,
15909,
555,
3705,
1309,
1119,
565,
206,
5828,
290,
1608,
5927,
977,
1027,
1362,
627,
1784,
6156,
15909,
555,
1728,
1734,
5568,
1362,
14217,
1158,
669,
9477,
1362,
2016,
3824,
233,
625,
452,
11151,
2905,
3487,
1158,
555,
2914,
555,
15909,
555,
779,
1229,
508,
12244,
323,
349,
4742,
233,
1608,
5828,
290,
2766,
452,
2755,
1804,
1262,
8162,
1362,
3109,
1249,
3304,
5292,
6198,
14550,
5292,
2754,
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
] |
tensor body structure kazhdan lusztig class affine display kazhdan lusztig category level finite duration mental faculty highest weighting composition factor affine lie superalgebra vertex algebraic braided tensor supercategory complex body part full subcategory object semisimple cartan subalgebra action tensor subcategory show every bare module projective cover determine fusion principle involving wide eyed projective object use knizhnik zamolodchikov par shew rigid application programme tensor supercategory social structure study certain mental faculty category affine lie superalgebra level particular get tensor category faculty story include relaxed highest weight unit module image spectral flow
| 9
| 1,774,504
|
[
2,
1540,
1577,
497,
16001,
12560,
463,
3552,
3926,
16001,
12560,
1798,
712,
834,
4509,
7896,
18947,
4507,
6566,
2684,
955,
3552,
2098,
11712,
1949,
2424,
11401,
1540,
1483,
1758,
586,
1577,
1229,
1616,
13363,
934,
9009,
8295,
10226,
1274,
1540,
13363,
223,
1933,
10205,
1815,
3814,
2192,
1988,
3016,
1779,
3007,
1762,
5753,
40,
3814,
934,
508,
5804,
135,
7936,
3936,
16631,
93,
19985,
17845,
165,
3749,
54,
3754,
542,
11365,
1540,
1483,
1758,
1794,
497,
352,
1452,
7896,
18947,
1798,
3552,
2098,
11712,
712,
756,
3195,
1540,
1798,
18947,
7310,
2373,
6747,
4507,
1152,
1436,
1815,
488,
1253,
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
] |
small large region higgs transverse momentum distribution shown recently standard resummation logarithm supplemented resummation logarithmic contribution large case colourless final state higgs produced via gluon fusion production lepton pair via drell yan mechanism improved transverse momentum resummation take account soft emission emitted small angle report recent phenomenological study combined threshold improved threshold resummation formalism higgs boson produced lhc small threshold logarithm resummed nnll nnll respectively show effect modified resummation yield faster perturbative convergence small region effect threshold one improves agreement fixed order calculation medium large region
| 7
| 1,585,986
|
[
2,
762,
506,
977,
3130,
3415,
1772,
555,
1186,
1305,
974,
11427,
3501,
12217,
11427,
4108,
1688,
506,
516,
5216,
2112,
2811,
314,
3130,
2943,
864,
4679,
3016,
2155,
4607,
1140,
864,
14412,
12135,
1112,
2023,
3415,
1772,
11427,
1884,
1948,
1489,
1645,
6750,
762,
2228,
1439,
644,
5973,
352,
2500,
2413,
2023,
2413,
11427,
3091,
3130,
2986,
2943,
3599,
762,
2413,
3501,
17897,
4651,
7270,
4651,
7270,
1853,
223,
610,
2741,
11427,
1718,
2829,
4011,
1298,
762,
977,
610,
2413,
401,
2587,
2626,
1650,
452,
1672,
1865,
506,
977,
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
] |
assessing efficiency different control strategy coronavirus covid epidemic goal work analyse burden control condition policy coronavirus covid epidemic brazil done consider age structure seir model quarantine class ii type ascendency first ace survey sensitivity regard parameter basic generative number calculated next generation method second one valuate dissimilar quarantine strategy comparing comparative entire number death
| 5
| 1,005,354
|
[
2,
6106,
1370,
467,
561,
1168,
7299,
2222,
4450,
1985,
431,
4742,
7420,
561,
587,
1289,
7299,
2222,
4450,
11451,
3870,
520,
3038,
497,
14656,
142,
12954,
463,
1465,
654,
9646,
273,
479,
499,
12647,
1799,
2307,
2475,
481,
2919,
2191,
486,
3282,
2432,
1356,
210,
937,
401,
2727,
103,
9222,
12954,
1168,
3265,
5776,
3487,
486,
5818,
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
] |
loop quantum gravitation signature change boundary marriage proposal covariant model loop loop quantum gravity generically imply dynamical signature variety high denseness article present detailed derivation show fruitful interplay modern kind key signature modification wave function proposal quantum cosmology boundary tunneling proposition particular unbalance inhomogeneous disturbance found lorentzian path integral handling naturally cured importantly dynamical signature modification require planckian density shell instantons relevant
| 9
| 1,772,076
|
[
2,
1984,
406,
13310,
2971,
1173,
1107,
18602,
3765,
5938,
142,
1984,
1984,
406,
1870,
7774,
5675,
1602,
2971,
1683,
298,
2637,
691,
2063,
415,
2721,
4125,
223,
15095,
4305,
2939,
3251,
1231,
2971,
3397,
713,
327,
3765,
406,
4177,
1107,
5134,
9158,
756,
9432,
189,
5044,
5302,
1088,
8445,
1324,
1964,
5678,
3241,
14974,
40,
5106,
1602,
2971,
3397,
2115,
12724,
784,
3583,
11440,
1980,
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
] |
charge black hole high dimensional eddington inspired innate infeld somberness written report static electrically charged solution eddington inspired born infeld eibi hypothesis gravity general dimensional spacetime consider linear maxwell easily nonlinear electrodynamics affair field special work nonlinear theory specifically consider born infeld electrodynamics result describe higher dimensional ignominious hole eibi gravitation linear maxwell field show electric field still curious singularity cure eibi pair atomic number electrodynamics obtain eibi bi black hole solution point accumulation besides investigate thermodynamic property found imposes charge screening make agree hawking temperature experience sudden jump charge eccentric schwarzschild type critical economic value thermodynamical stability reveals eibi bi black hole exist smaller horizon rn
| 11
| 211,148
|
[
2,
1682,
1161,
1196,
298,
673,
9888,
2928,
9495,
103,
14093,
9324,
350,
691,
5056,
1439,
2715,
9364,
3297,
533,
9888,
2928,
6737,
14093,
15740,
2285,
2765,
1870,
421,
673,
3426,
520,
617,
4817,
3112,
1144,
6879,
1383,
3904,
381,
1846,
431,
1144,
476,
1855,
520,
6737,
14093,
6879,
249,
1734,
1084,
673,
4740,
85,
15508,
183,
1196,
15740,
2285,
13310,
617,
4817,
381,
223,
2253,
381,
1923,
13829,
3012,
14974,
15740,
2285,
1140,
2671,
486,
6879,
575,
15740,
2285,
817,
1161,
1196,
533,
563,
7933,
3923,
1190,
2788,
559,
1088,
9762,
1682,
4721,
1225,
6027,
6809,
906,
3401,
8498,
4588,
1682,
5823,
6597,
654,
1166,
4252,
730,
12545,
1557,
3680,
15740,
2285,
817,
1161,
1196,
991,
2723,
2486,
9273,
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
] |
gcicenet graph convolutional network accurate classification water phase understanding phase water molecule based local structure essential understanding anomalous property however due complicated structural motif formed via hydrogen bond conventional order parameter represent water molecule incompletely paper develop gcicenet automatically generates machine based order parameter classifying phase water molecule via supervised unsupervised learning multiple graph convolutional layer gcicenet learn topological information complex hydrogen bond network show substantial improvement accuracy predicting phase water molecule bulk system icevapor interface system relative importance analysis show gcicenet capture structural feature given system hidden input data augmented vast amount data provided molecular dynamic simulation gcicenet expected serve powerful tool field glassy liquid hydration layer around biomolecules
| 2
| 1,509,367
|
[
2,
4145,
577,
1005,
471,
1747,
256,
1677,
920,
2767,
584,
1543,
584,
2767,
2570,
250,
619,
497,
2691,
1543,
3414,
559,
627,
824,
4845,
2287,
7096,
3850,
864,
4015,
4197,
2172,
452,
481,
570,
2767,
2570,
5650,
97,
362,
578,
4145,
577,
1005,
3155,
4013,
825,
250,
452,
481,
5861,
584,
2767,
2570,
864,
1812,
2567,
285,
849,
471,
1747,
975,
4145,
577,
1005,
234,
1178,
545,
586,
4015,
4197,
256,
223,
4302,
1760,
865,
3285,
584,
2767,
2570,
2564,
214,
4724,
6665,
810,
2184,
214,
1946,
2420,
494,
223,
4145,
577,
1005,
2052,
2287,
571,
812,
214,
3084,
983,
233,
4420,
5563,
2224,
233,
2082,
2013,
565,
679,
4145,
577,
1005,
1945,
4335,
3039,
1242,
381,
11149,
2493,
16850,
975,
1926,
17121,
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
] |
learning protein constitutive motif sequence information statistical analysis evolutionary related protein chronological succession provides insight structure function history appearance restricted boltzmann machine rbm designed learn complex high pitched dimensional datum statistical feature efficiently model protein family sequence selective information apply rbm twenty protein family present detail result two short protein domain kunitz ww one long chaperon protein hsp synthetic fretwork protein benchmarking feature inferred rbm biologically interpretable related structure residue residue rd contact protract lower ranking motive spiral sheet intrinsically disconnected region function activity ligand specificity phylogenetic identity addition use rbm design new protein sequence putative prop composing turn dissimilar mode work therefore establish rbm versatile practical tool unveil exploit genotype phenotype family relationship protein family
| 5
| 1,069,194
|
[
2,
285,
3861,
9657,
7096,
1160,
545,
1558,
494,
3942,
1264,
3861,
12074,
676,
1599,
287,
1220,
2251,
497,
327,
3587,
4441,
3722,
4814,
825,
12939,
2092,
234,
586,
298,
7700,
64,
673,
14366,
1558,
571,
2372,
142,
3861,
1644,
1160,
5656,
545,
1780,
12939,
11734,
3861,
1644,
415,
1639,
249,
312,
1491,
3861,
749,
17852,
4030,
17098,
401,
891,
6641,
16020,
3861,
15832,
44,
2338,
805,
7770,
152,
3861,
6788,
571,
5198,
12939,
9455,
4114,
1264,
497,
8001,
8001,
6285,
2598,
855,
2369,
1262,
4082,
19153,
5411,
5574,
8075,
10316,
977,
327,
2194,
9870,
8925,
10574,
3199,
827,
508,
12939,
618,
385,
3861,
1160,
12928,
1519,
13467,
2405,
9222,
1082,
431,
1840,
1227,
12939,
6774,
2065,
1242,
8069,
2208,
15640,
10730,
1644,
2175,
3861,
1644,
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
] |
producing detecting long lived particle dissimilar experimentation lhc propose new strategy look long live particle llp lhc llps produced one experimentation decay merchandise find demodulator another experiment use good service confining concealed valley scenario benchmark shower hadronization multiplicity hidden meson large decay product dimuon select study typically soft pa trigger traditional lhc search line best acceptance achieved produce llps collision point lhcb alice experiment enjoyment muon chamber atlas detection new search price efficient since require modern detector build meanwhile provide coverage interesting parameter space complementary aim llp hunt
| 17
| 374,045
|
[
2,
5022,
3427,
891,
7156,
836,
9222,
9341,
3599,
537,
385,
1168,
4146,
891,
7006,
836,
8443,
44,
3599,
8443,
2390,
2943,
401,
9341,
1552,
13657,
13964,
491,
696,
13298,
19167,
7086,
6002,
2630,
427,
508,
1860,
2384,
9611,
9713,
13792,
5495,
1296,
1520,
7587,
15650,
4897,
3084,
4073,
506,
1552,
1568,
430,
9809,
39,
3869,
352,
2593,
1489,
259,
3837,
2239,
3599,
1106,
1175,
1539,
8241,
2002,
1990,
8443,
2390,
1881,
563,
9323,
8279,
427,
8620,
190,
4795,
7661,
6729,
791,
385,
1106,
3377,
790,
1784,
2115,
2939,
1787,
2655,
6043,
693,
3879,
2547,
481,
410,
4229,
1484,
8443,
44,
19312,
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
] |
unconditional uniqueness solution nonlinear dispersive equation solution cauchy problem nonlinear dispersive equation obtained fixed point argument using auxiliary function space non trivial ensure uniqueness solution natural space class continuous curve data space property called unconditional uniqueness proving often requires additional work last decade unconditional uniqueness shown canonical nonlinear dispersive equation integration part technique regarded variant poincare dulac normal form reduction article aim provide abstract framework establishing unconditional uniqueness well existence certain weak solution via infinite iteration normal form reduction particular abstract setting find two set fundamental estimate used repeatedly generate multilinear estimate arbitrarily high degree required scheme confirm versatility framework applying various equation including cubic nonlinear schrodinger equation nls higher dimension cubic nls fractional laplacians cubic derivative nls zakharov system new result unconditional uniqueness obtained periodic boundary condition
| 1
| 518,988
|
[
2,
10117,
4459,
533,
1144,
6862,
552,
533,
6037,
304,
1144,
6862,
552,
970,
1650,
563,
3306,
291,
4293,
327,
410,
278,
2867,
3943,
4459,
533,
1398,
410,
463,
1335,
1684,
233,
410,
559,
1357,
10117,
4459,
5171,
1429,
2007,
1854,
431,
2787,
3663,
10117,
4459,
1186,
3173,
1144,
6862,
552,
2984,
1229,
703,
6833,
2688,
5859,
5278,
7086,
33,
1572,
337,
1843,
2063,
1484,
693,
4123,
609,
5670,
10117,
4459,
529,
1666,
1452,
1207,
533,
864,
2149,
3074,
1572,
337,
1843,
756,
4123,
1163,
696,
312,
376,
1708,
999,
522,
10297,
1941,
11419,
999,
4896,
298,
1402,
2089,
903,
2353,
10314,
609,
2709,
1002,
552,
995,
4358,
1144,
3629,
552,
10320,
1084,
443,
4358,
10320,
2824,
12210,
4358,
2790,
10320,
17756,
214,
385,
249,
10117,
4459,
970,
2229,
1107,
587,
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
] |
unconventional relaxation hydrodynamic mode anharmonic chain nonlinear fluctuating hydrodynamics nfhd powerful framework understanding transport checking validity molecular dynamic still challenging overcome challenge developing effective scheme detecting hydrodynamic mode take account role pressure fluctuation show prediction given nfhd relaxation process hydrodynamic mode valid pressure system zero pressure fluctuation weak nonvanishing pressure two regime arise hydrodynamic mode respond small large pressure fluctuation relax two additionally distinct manner contrast previous finding two class result suggest least three universality class transport anharmonic chain
| 4
| 1,478,785
|
[
2,
7290,
2954,
3512,
1082,
9586,
1882,
1144,
9064,
5990,
9255,
5060,
3039,
609,
1543,
1538,
6256,
4633,
2013,
565,
1923,
1759,
3581,
1136,
3533,
1013,
903,
3427,
3512,
1082,
1884,
1948,
1574,
2295,
2160,
223,
839,
812,
9255,
5060,
2954,
455,
3512,
1082,
1308,
2295,
214,
1362,
2295,
2160,
1207,
16289,
2295,
312,
1526,
3676,
3512,
1082,
7039,
762,
506,
2295,
2160,
2360,
312,
2964,
2770,
3061,
2070,
912,
1545,
312,
463,
249,
1503,
2100,
776,
5214,
463,
1538,
9586,
1882,
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
] |
nonequilibrium thermodynamic formalism second jurisprudence gas information geometry nonequilibrium thermodynamics information hypothesis relative entropy kl divergence swordplay important role consider holder jacobian ruelle transfer operator deuce equilibrium probability interact via discrete prison term thermodynamic operation described legal action dual ruelle operator argue law producing nonequilibrium seen thermodynamical operation show manifestation second law thermodynamics also show change relative randomness satisfies dk mumu dk mathcalllog jmumathcalllog jmu furthermore describe sufficient condition getting entropy recalling natural riemannian metric banach multiply holder equilibrium chance exhibit second order taylor formula minute tan change kl divergence crucial estimate info geometry introduce concept like heat work volume pressure home vigour play role correspondent thermodynamics gas briefly describe maxent method acting
| 8
| 626,354
|
[
2,
6281,
2788,
3091,
937,
17573,
7401,
1968,
1150,
15843,
38,
1632,
545,
1583,
6281,
4862,
545,
2765,
1946,
1612,
7115,
3448,
1610,
773,
2557,
994,
1574,
520,
7224,
7696,
16415,
1293,
941,
139,
589,
1726,
1158,
4636,
864,
1596,
16663,
612,
2788,
1837,
2422,
8089,
1274,
1641,
16415,
941,
3475,
1746,
5022,
6281,
3214,
12545,
1837,
223,
9086,
937,
1746,
4862,
364,
223,
1173,
1946,
6385,
4259,
16769,
8905,
45,
16769,
14411,
7270,
175,
14,
13157,
7967,
4134,
7270,
175,
14,
13157,
1518,
1734,
1883,
587,
9597,
1612,
5939,
70,
1398,
4071,
1093,
5789,
11758,
7224,
1726,
7255,
1835,
937,
452,
6640,
1729,
6276,
11080,
1173,
7115,
3448,
2620,
999,
796,
35,
1583,
1077,
1546,
1079,
2551,
431,
2116,
2295,
4885,
15486,
371,
1973,
1574,
932,
78,
4862,
1632,
5981,
1734,
3206,
78,
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,
1
] |
low precision floating point arithmetic high performance fpga based cnn acceleration low precision data representation important reduce storage size memory access convolutional neural network cnns yet existing method two major limitation requiring training maintain accuracy deep cnns needing bit floating point bit fixed point good accuracy paper propose low precision bit floating point lpfp quantization method fpga based acceleration overcome limitation without training lpfp find optimal bit data representation negligible top top accuracy loss within experiment respectively significantly better existing method deep cnns furthermore implement one bit lpfp multiplication one bit multiply adder mac one bit adder therefore implement four bit lpfp multiplication using one dsp slice xilinx kintex family kc paper one dsp implement two bit fixed point multiplication experiment six typical cnns inference show average improve throughput intel cpu existing fpga accelerator particularly vgg yolo compared six recent fpga accelerator improve average throughput improve average throughput per dsp respectively best knowledge first depth study simplify one multiplication cnn inference one bit mac implement four multiplication within one dsp maintaining comparable accuracy without training
| 3
| 103,940
|
[
2,
485,
2235,
7892,
563,
4803,
298,
473,
7870,
250,
1957,
3339,
485,
2235,
233,
748,
994,
2068,
3408,
918,
1581,
2083,
1747,
549,
256,
3973,
2334,
936,
210,
312,
1824,
2753,
4167,
660,
2930,
865,
562,
3973,
14612,
2712,
7892,
563,
2712,
1650,
563,
1860,
865,
362,
537,
485,
2235,
2712,
7892,
563,
6045,
14977,
3399,
210,
7870,
250,
3339,
3581,
2753,
973,
660,
6045,
14977,
696,
819,
2712,
233,
748,
5247,
653,
653,
865,
1097,
992,
427,
1853,
1411,
1251,
936,
210,
562,
3973,
1518,
1795,
401,
2712,
6045,
14977,
5649,
401,
2712,
11758,
17257,
2789,
401,
2712,
17257,
1840,
1795,
1249,
2712,
6045,
14977,
5649,
291,
401,
17094,
5719,
16188,
3101,
48,
3418,
1934,
1644,
18042,
362,
401,
17094,
1795,
312,
2712,
1650,
563,
5649,
427,
3621,
2922,
3973,
1444,
223,
1611,
1354,
4214,
10905,
5697,
936,
7870,
4657,
2779,
8936,
17267,
985,
3621,
644,
7870,
4657,
1354,
1611,
4214,
1354,
1611,
4214,
184,
17094,
1853,
1539,
1179,
499,
2220,
352,
8102,
401,
5649,
1957,
1444,
401,
2712,
2789,
1795,
1249,
5649,
992,
401,
17094,
4693,
3102,
865,
973,
660,
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
] |
deep zoom net unsupervised learning photo realistic zoom zoom operation positive translation camera axis perpendicular image plane contrast optical zoom change focal length digital zoom used enlarge certain region image original image size paper first formulate unsupervised zoom learning problem image arbitrary zoom factor generated given single image unsupervised framework convenient challenging task obtain zoom dataset natural scene due need special equipment ensure camera movement restricted axis addition object scene move captured hinders construction large dataset outdoor scene present novel unsupervised framework learn generate arbitrarily zoomed version single image requiring zoom ground truth called deep zoom net deep zoom net incorporates following feature transfer learning pre trained disparity estimation network via back projection reconstruction loss ii fully convolutional network architecture model depth image based rendering dibr taking account high frequency detail without need estimating intermediate disparity iii incorporating discriminator network act reference penalty unnaturally rendered area even though baseline fairly compare result method outperforms previous novel view synthesis research term realistic appearance large camera baseline performed extensive experiment verify effectiveness method kitti cityscape datasets
| 3
| 145,764
|
[
2,
562,
11976,
244,
2567,
285,
3292,
2640,
11976,
11976,
1837,
1629,
2610,
2980,
3499,
6015,
488,
1954,
2070,
1195,
11976,
1173,
8339,
1698,
3075,
11976,
522,
15586,
1452,
977,
488,
2167,
488,
918,
362,
499,
3763,
2567,
11976,
285,
304,
488,
1891,
11976,
955,
1472,
812,
782,
488,
2567,
609,
7500,
1759,
546,
575,
11976,
608,
1398,
2866,
824,
1142,
1846,
8005,
3943,
2980,
4014,
3722,
3499,
827,
934,
2866,
4326,
4632,
11059,
1793,
506,
608,
9692,
2866,
415,
758,
2567,
609,
234,
1941,
4896,
11976,
64,
1904,
782,
488,
4167,
11976,
1636,
3992,
1357,
562,
11976,
244,
562,
11976,
244,
5622,
2401,
571,
1293,
285,
519,
1318,
8747,
1083,
256,
864,
1057,
2801,
2017,
1097,
1465,
1771,
1747,
256,
1091,
142,
2220,
488,
250,
6538,
14250,
34,
2960,
1948,
298,
1029,
1639,
973,
1142,
3262,
3094,
8747,
3509,
4366,
5961,
256,
1955,
2796,
5132,
8139,
16855,
97,
12456,
1589,
1040,
3087,
2109,
8532,
1845,
249,
210,
2113,
912,
758,
1541,
2994,
952,
612,
2640,
4441,
506,
2980,
2109,
2183,
2095,
427,
3590,
2059,
210,
10448,
13628,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
correlation function characteristic multinomial non hermitian random matrix sovereign launching paper concerned asymptotic behavior correlation function characteristic polynomial non hermitian random matrix independent entry shown correlation mathematical function behave similar complex ginibre ensemble factor depending fourth right common chance law intercellular substance entering
| 8
| 612,044
|
[
2,
1138,
327,
1548,
11366,
278,
3692,
753,
766,
1294,
126,
38,
248,
14971,
362,
6393,
1342,
1017,
1138,
327,
1548,
1372,
278,
3692,
753,
766,
1312,
4782,
1186,
1138,
2657,
327,
7328,
960,
586,
18259,
2186,
955,
3054,
6445,
3179,
1277,
7255,
1746,
19262,
9590,
13687,
11525,
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
] |
scaling property moving polymer set spde model moving weakly self avoiding polymer intrinsic length taking value main result state effective radius polymer approximately evidently large polymer undergoes stretching contrast equilibrium situation without time variable many earlier result show effective radius approximately moving polymer taking value offer conjecture effective radius approximately
| 8
| 652,336
|
[
2,
2147,
559,
3354,
4314,
376,
17872,
142,
3354,
3313,
1081,
5653,
4314,
2996,
1698,
2960,
730,
925,
249,
314,
1013,
2440,
4314,
3824,
10702,
97,
506,
4314,
8622,
11173,
2070,
1726,
3055,
973,
290,
1089,
731,
4038,
249,
223,
1013,
2440,
3824,
3354,
4314,
2960,
730,
2380,
2049,
1013,
2440,
3824,
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
] |
one loop discipline primordial tensor spectrum massless isocurvature field study one loop chastisement two point coefficient correlation mapping tensor perturbation primal cosmology induced massless spectator matter theatre operation using schwinger keldysh formalism cosmologic disturbance theory employ dimensional regularization cutoff regularization study finite quantum fudge factor one loop arising isocurvature field massless scalar fermion abelian gauge force field freely propagating frw spacetime case find logarithmic running kind damaging constant related genus beta occasion hubble parametric quantity horizon exit renormalization scale
| 11
| 239,732
|
[
2,
401,
1984,
7434,
4543,
1540,
978,
5389,
17379,
381,
352,
401,
1984,
3208,
79,
491,
190,
312,
563,
1624,
1138,
2256,
1540,
1723,
7214,
4177,
1627,
5389,
14686,
1074,
311,
67,
114,
1837,
291,
8305,
14088,
3091,
1321,
12949,
5302,
476,
1550,
673,
2823,
7072,
2823,
352,
834,
406,
3565,
40,
112,
955,
401,
1984,
3659,
17379,
381,
5389,
1631,
2306,
3361,
2036,
2058,
381,
7467,
5657,
19154,
3426,
516,
696,
4108,
4022,
3251,
3036,
1236,
1269,
1264,
4899,
5028,
11998,
5083,
3105,
2797,
2486,
8298,
4349,
680,
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
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.