text
stringlengths 33
3.74k
| category
int64 0
19
| __index_level_0__
int64 0
1.81M
| input_ids
list | attention_mask
list |
|---|---|---|---|---|
note almgren chriss optimal execution problem geometric brownian motion solve explicitly almgren chriss optimal liquidation problem stock price process fall geometrical brownian apparent motion technique work term cash employ functional psychoanalysis prick show framework extends readily caseful stochastic impulsion cost process liquidation portfolio
| 15
| 1,156,783
|
[
2,
3089,
18446,
3300,
62,
161,
7401,
32,
819,
4021,
304,
1987,
4504,
1367,
1925,
2706,
18446,
3300,
62,
161,
7401,
32,
819,
2493,
75,
304,
5292,
3377,
455,
4680,
5341,
4504,
6179,
1367,
703,
431,
612,
15931,
1550,
1653,
6509,
8928,
2536,
97,
9206,
1355,
33,
41,
223,
609,
4020,
6014,
516,
789,
1119,
6958,
167,
1103,
455,
2493,
75,
5954,
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
] |
high contrast resolution near infrared photometry core r present sharpest deepest near infrared photometric analysis core newly formed massive star cluster centre doradus star forming region large magellanic cloud used extreme adaptive optic sphere focal instrument implemented eso large telescope operated irdis imaging mode second time longer exposure time filter aim increase number resolved source core ii compare first epoch classify property detected common source two epoch within field view fov pc xpc detected source filter source visual companion closer larger number detected source enabled u better sample mass function mf mf slope estimated age myr different radius different mass range mf slope mass range solar mass dex steeper mass range solar mass whole fov different radius comparing jhk colour source common two epoch detected source outer region consistent evolutionary model myr extinction similar average cluster value suggesting origin ongoing star formation within doradus unrelated
| 10
| 1,333,519
|
[
2,
298,
2070,
1378,
1027,
3182,
6476,
1915,
22,
415,
3216,
286,
19485,
1027,
3182,
5151,
494,
1915,
4952,
3850,
2030,
706,
878,
6137,
15505,
15974,
706,
3903,
977,
506,
10255,
1861,
522,
3203,
1917,
4319,
3018,
8339,
3309,
2775,
14738,
506,
3067,
9858,
1533,
17502,
1909,
1082,
937,
290,
4381,
5063,
290,
1875,
1484,
1376,
486,
3627,
829,
1915,
1465,
1845,
499,
5144,
3873,
559,
2932,
1277,
829,
312,
5144,
992,
381,
1541,
14343,
3232,
28,
2508,
2932,
829,
1875,
829,
1386,
4730,
6624,
2076,
486,
2932,
829,
4446,
25,
1251,
832,
669,
327,
6026,
6026,
5148,
2923,
3038,
7603,
467,
2440,
467,
669,
889,
6026,
5148,
669,
889,
2131,
669,
7978,
15074,
669,
889,
2131,
669,
3317,
14343,
467,
2440,
3265,
14,
37,
41,
5216,
829,
1277,
312,
5144,
2932,
829,
4416,
977,
1460,
3942,
142,
7603,
6790,
960,
1611,
878,
730,
4853,
2093,
6402,
706,
1564,
992,
15505,
15974,
11302,
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
] |
observation analyse event roll besiii detector operating bepcii collider decay note first time statistical import severally product ramify fraction pose branching fraction disintegration determined first uncertainty statistical second systematic respectively
| 17
| 311,223
|
[
2,
972,
4742,
1170,
6661,
14809,
1787,
3929,
478,
2508,
3455,
4296,
1552,
3089,
499,
290,
1558,
816,
876,
97,
1568,
3327,
2451,
1654,
2731,
5196,
1654,
217,
16211,
2526,
499,
1451,
1558,
937,
2202,
1853,
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
] |
towards precise relativistic theory worldly concern geoid wave present paper run newtonian concept geoid classic geodesy towards realm general relativity utilizing covariant geometric method perturbation theory curved multiplex taking covariant definition anomalous vex gravity potential formulate differential equivalence word form covariant laplace equivalence newspaper also derives bruns equation deliberation geoids height wide account relativistic effect beyond newtonian approximation abbreviated discussion relativistic bruns formula provided
| 11
| 295,801
|
[
2,
1766,
3235,
2662,
476,
1258,
97,
2625,
10468,
127,
713,
415,
362,
1769,
5978,
1546,
10468,
127,
5041,
4065,
50,
1766,
10362,
421,
4260,
3975,
5938,
1987,
210,
1723,
476,
5596,
6142,
2960,
5938,
3017,
3414,
18192,
48,
1870,
801,
3763,
1493,
3314,
1963,
337,
5938,
5610,
3314,
19675,
364,
11264,
15500,
32,
552,
13280,
75,
10468,
9509,
4650,
1762,
1948,
2662,
610,
2173,
5978,
1056,
17373,
345,
180,
4139,
2662,
15500,
32,
1729,
2082,
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
] |
injective stabilization additive functors iii asymptotic stabilization tensor product injective stabilization tensor product subjected iterative procedure utilizes bifunctor property limit procedure called asymptotic stabilization tensor product provides homological counterpart buchweitzs asymptotic construction stable cohomology resulting connected sequence functors isomorphic triulzis completion tor functor comparison map vogel homology asymptotic stabilization tensor product constructed shown always epic category finitely presented functors shown complete cocomplete consequence inert injective stabilization tensor product fixed variable finitely generated module artin algebra shown finitely presented description defect right derived functors given surprising connection buchweitz cohomology based injectives established
| 1
| 590,876
|
[
2,
9448,
6077,
3906,
8212,
3509,
1342,
6077,
1540,
1568,
9448,
6077,
1540,
1568,
8420,
3204,
1898,
5218,
4849,
16162,
65,
559,
625,
1898,
1357,
1342,
6077,
1540,
1568,
1220,
9469,
3383,
16741,
3026,
4030,
32,
1342,
1793,
1834,
3886,
1748,
2137,
1160,
8212,
5813,
1495,
88,
14083,
32,
4240,
2047,
6220,
1848,
813,
18063,
73,
4329,
1342,
6077,
1540,
1568,
2776,
1186,
3176,
14561,
1798,
5133,
1588,
8212,
1186,
1878,
8818,
10126,
2704,
38,
2736,
14802,
9448,
6077,
1540,
1568,
1650,
1089,
5133,
1472,
1815,
9651,
877,
1186,
5133,
1588,
2045,
2938,
3179,
1712,
8212,
812,
4110,
1960,
16741,
3026,
4030,
3886,
250,
9448,
32,
2668,
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
] |
stability dynamical topology dynamical noise quantum quenches equilibrium topological phase robust weak static disorder may break strong disorder regime explore stability quench induced emergent dynamical topology presence dynamical noise develop analytic theory show weak noise quantum dynamic induced quenching initial trivial phase chern insulating regime exhibit robust emergent topology certain momentum subspace called band inversion surface bi dynamical topology protected minimal oscillation frequency bi mimicking bulk gap dynamical phase singularity emerge quench dynamic minimal oscillation frequency vanishing bi increasing noise critical strength manifesting dynamical topological transition beyond emergent topology break two type dynamical transition predicted interestingly predict sweet spot critical transition noise couple three spin component strength case dynamical topology survives arbitrarily strong noise regime work unveils novel feature dynamical topology dynamical noise probed control experiment
| 4
| 1,444,868
|
[
2,
1557,
1602,
2376,
1602,
1068,
406,
12462,
1726,
1178,
584,
872,
1207,
2715,
2747,
853,
2061,
788,
2747,
1526,
1989,
1557,
4113,
1627,
4875,
1602,
2376,
1591,
1602,
1068,
578,
2354,
476,
223,
1207,
1068,
406,
565,
1627,
7783,
1352,
2867,
584,
4559,
7136,
1526,
1835,
872,
4875,
2376,
1452,
1772,
3207,
1357,
1075,
4097,
854,
817,
1602,
2376,
5231,
2169,
2730,
1029,
817,
10801,
2564,
1571,
1602,
584,
3012,
5703,
4113,
565,
2169,
2730,
1029,
4127,
817,
1660,
1068,
1166,
2126,
19439,
1602,
1178,
908,
2173,
4875,
2376,
2061,
312,
654,
1602,
908,
2806,
5729,
1480,
19488,
5310,
1166,
908,
1068,
5552,
776,
740,
1071,
2126,
516,
1602,
2376,
15502,
4896,
788,
1068,
1526,
431,
16739,
758,
571,
1602,
2376,
1602,
1068,
7475,
561,
427,
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
] |
measurement interracial harmonic cumulants pb pb collision tev correlation moment different flow coefficient measured pb pb collision tev recorded alice detector new measurement based multiparticle mixed harmonic cumulants calculated using charged particle pseudorapidity region transverse impulse range gev centrality dependence coefficient correlation two flow coefficient well correlation three flow coefficient term second moment shown addition collection assorted harmonic cumulants involving high consequence measure first time characteristic signature negative positive negative planetary house four six eight particle cumulants observed severally measurement compared hydrodynamic deliberation using iebe vishnu ampt trento initial condition picture measurement bear using lhc work data precision explore detail initial state fluctuation probe nonlinear hydrodynamic response corresponding initial anisotropy coefficient new study correlation three current coefficient well correlation higher moment two dissimilar flow coefficient pave way tighten restraint initial state role model supporter draw precise information active evolution hot dense matter created heavy ion collision lhc
| 17
| 325,275
|
[
2,
852,
206,
3536,
300,
2865,
9997,
3727,
3727,
1881,
4210,
1138,
1147,
467,
928,
1624,
2205,
3727,
3727,
1881,
4210,
5548,
8279,
1787,
385,
852,
250,
19301,
2519,
2865,
9997,
3282,
291,
3297,
836,
17057,
977,
3415,
8959,
889,
3598,
6663,
1991,
1624,
1138,
312,
928,
1624,
529,
1138,
776,
928,
1624,
612,
937,
1147,
1186,
827,
3027,
13338,
64,
2865,
9997,
3007,
298,
2736,
949,
499,
290,
1548,
2971,
2221,
1629,
2221,
4470,
10029,
1249,
3621,
6013,
836,
9997,
1059,
876,
97,
852,
985,
3512,
13280,
75,
291,
1273,
4792,
926,
7936,
45,
11211,
36,
4148,
39,
2682,
1352,
587,
4199,
852,
7393,
291,
3599,
431,
233,
2235,
1989,
1639,
1352,
314,
2160,
2634,
1144,
3512,
1601,
1309,
1352,
3703,
1624,
385,
352,
1138,
776,
845,
1624,
529,
1138,
1084,
1147,
312,
9222,
928,
1624,
6067,
1024,
3342,
62,
1620,
263,
36,
1352,
314,
1574,
142,
1393,
59,
3000,
3235,
545,
1894,
1085,
3365,
2637,
1074,
4153,
2476,
1710,
1881,
3599,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
newfangled integrable two essence problem sphere dirac magnetic field present unexampled family integrable interpretation euler two centre problem two dimensional sphere presence dirac magnetic monopole arbitrary charge new arrangement special algebraic potential additional constitutional quadratic momentum classical quantum version
| 12
| 706,271
|
[
2,
385,
14551,
10940,
40,
4067,
312,
10590,
304,
3018,
2937,
826,
381,
415,
4790,
10469,
1644,
4067,
2800,
3742,
312,
6137,
304,
312,
673,
3018,
1591,
2937,
826,
7724,
1891,
1682,
385,
6096,
1846,
2424,
801,
1854,
3514,
185,
61,
2642,
1772,
1070,
406,
1904,
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
] |
axial anomaly fresh mechanism generate massless boson prior establishment correct theory describing hadronic physic realized essential factor hadronic world low energy chiral symmetry spontaneous break self generated symmetry breaking non perturbative phenomenon thanks massive simulation lattice present good understanding vacuum realization non abelian chiral symmetry function physical temperature far anomaly concerned especially high temperature form current spot however far satisfactory initiative part clause pay critique present status lattice computation high temperature phase angle measure directly related axial anomaly share analyze interesting physical implication anomaly latterly suggested system non abelian axial correspondence action vacuum exactly argue symmetry remains efficaciously upset topologic property theory basis mechanism goldstone theorem generate rich spectrum massless boson chiral limit
| 19
| 445,270
|
[
2,
5850,
2595,
8667,
1112,
1941,
5389,
2986,
1388,
14474,
2510,
476,
3706,
5741,
1422,
4276,
2691,
955,
5741,
1258,
485,
470,
2687,
1078,
4063,
2061,
1081,
1472,
1078,
3116,
278,
4011,
1981,
5433,
2030,
679,
1276,
415,
1860,
1543,
2969,
3661,
278,
3361,
2687,
1078,
327,
1347,
906,
2209,
2595,
6393,
2301,
298,
906,
337,
845,
5310,
627,
2209,
8425,
10870,
1229,
11126,
4036,
19087,
415,
4857,
1276,
1189,
298,
906,
584,
2228,
949,
1986,
1264,
5850,
2595,
3968,
1849,
2547,
1347,
3041,
2595,
2679,
97,
4556,
214,
278,
3361,
5850,
3437,
1274,
2969,
3625,
3475,
1078,
2685,
4734,
84,
9937,
8514,
77,
653,
12949,
559,
476,
2272,
1112,
9288,
1396,
1941,
2659,
978,
5389,
2986,
2687,
625,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
implicit fractional differential equation banach space via picard weakly picard operator theory paper employing fixed point method obtain existence uniqueness result nonlinear implicit fractional differential equation banach space obtain uniqueness dependence solution initial condition well function involved right hand side mean picard weakly picard operator theory pompeiu hausdorff functional
| 1
| 513,306
|
[
2,
3284,
2824,
1493,
552,
5789,
410,
864,
10547,
3313,
10547,
941,
476,
362,
4039,
1650,
563,
210,
575,
1666,
4459,
249,
1144,
3284,
2824,
1493,
552,
5789,
410,
575,
4459,
1991,
533,
1352,
587,
529,
327,
4242,
3179,
1333,
2825,
823,
10547,
3313,
10547,
941,
476,
10727,
5138,
31,
45,
6177,
1653,
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
] |
presymplectic aksz conceptualization einstein solemnity local caliber theory stand aksz sigma model upon parameterization necessary however non topological model dimension higher target space necessarily infinite dimensional interesting alternative known time allow pervert presymplectic structure target space lead concise aksz like representation physique corresponding lagrangians gauge system work dressed ore einstein gravitational force show lagrangian likewise full scale batalin vilkovisky conceptualisation naturally encode presymplectic aksz formulation giving elegant supergeometrical construction bv cartan weyl action applies primary social structure respective hamiltonian bfv formulation
| 9
| 1,738,964
|
[
2,
863,
16043,
11913,
18757,
5966,
280,
2982,
14900,
14402,
104,
619,
2772,
59,
476,
895,
11913,
18757,
6131,
142,
2761,
6387,
2446,
627,
278,
1178,
142,
443,
1084,
1176,
410,
4831,
2149,
673,
2547,
2262,
886,
290,
735,
10600,
2929,
863,
16043,
497,
1176,
410,
840,
9729,
11913,
18757,
1079,
748,
7580,
544,
1309,
11606,
2036,
214,
431,
10829,
266,
38,
2982,
1751,
2058,
223,
3515,
13459,
1616,
680,
9881,
19802,
15463,
5042,
19441,
5966,
2105,
3241,
5255,
863,
16043,
11913,
18757,
2139,
4870,
9506,
477,
6708,
61,
1793,
11196,
8295,
3688,
1274,
4920,
3463,
1794,
497,
5718,
2001,
6419,
46,
2139,
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
] |
selective information accumulation improve ordering term entropy collection theorem state smooth fukien entropy partite system lower bounded sum von neumann entropy befittingly chosen conditional state correction sublinear theorem especially suited establish protection quantum cryptographic protocol particular call gimmick independent protocol randomness elaboration fundamental distribution gimmick built preprogrammed malicious supplier however bound provided theorem optimal first order second order term throttle crudely way destined deteriorate significantly theorem applied right away protocol parameter estimate done sampling minuscule fraction position qkd protocol nonsubjective paper improve second order sublinear condition remedy problem room try various bound divergence variance might independent interest
| 13
| 1,236,918
|
[
2,
5656,
545,
7933,
1354,
4485,
612,
1612,
3027,
1396,
314,
1651,
13931,
400,
39,
1612,
14962,
214,
1262,
2010,
1327,
6042,
4996,
1612,
478,
17228,
97,
3966,
2820,
314,
2303,
8540,
1396,
2301,
5534,
1227,
5438,
406,
9006,
2237,
756,
1052,
11224,
564,
1722,
1312,
2237,
6385,
7207,
75,
1708,
555,
11224,
564,
1722,
3447,
9281,
13571,
359,
7864,
5878,
16198,
627,
451,
2082,
1396,
819,
499,
452,
937,
452,
612,
15263,
7140,
80,
17659,
97,
1024,
7692,
64,
16999,
1411,
1396,
1261,
3179,
4766,
2237,
481,
999,
3870,
1836,
11807,
15338,
38,
1654,
2012,
10079,
2237,
11537,
737,
1240,
362,
1354,
937,
452,
8540,
587,
10032,
304,
4273,
5979,
1002,
451,
3448,
2726,
3107,
1312,
1640,
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
] |
purification complexity without refining generalize fubini subject field method pure state complexity generic quantum country taking bures metric quantum fisher information metric space concentration ground substance complexity measure due uhlmanns theorem show assorted state complexity exactly adequate purification complexness measured fubini study metric purified land without explicitly applying purification likewise find purification complexity non increasing trace continue quantum cognitive operation also meditate mixed gaussian state object lesson explicitly illustrate conclusion purification complexness
| 9
| 1,730,288
|
[
2,
12309,
1223,
973,
12185,
3043,
3565,
2285,
450,
2315,
381,
210,
3456,
314,
1223,
2675,
406,
4299,
2960,
2992,
69,
1093,
406,
5783,
545,
1093,
410,
3280,
1636,
13687,
1223,
949,
824,
7910,
15682,
528,
32,
1396,
223,
13338,
64,
314,
1223,
3625,
7821,
12309,
586,
691,
2205,
3565,
2285,
450,
352,
1093,
1739,
1204,
2382,
973,
2706,
2709,
12309,
13459,
696,
12309,
1223,
278,
1660,
3158,
6997,
406,
4925,
1837,
364,
1559,
3477,
1379,
2519,
1476,
314,
934,
10432,
2706,
2495,
3971,
12309,
586,
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
] |
design based uncertainty quasi experiment social scientist frequently interested guess causal effect set unit universe observed eg united state department state invention based approaching survey treatment random object pursuit may appealing standard sampling based approach context paper develop design free base theory uncertainty suitable quasi experimental setting researcher estimation treatment burden treatment randomly assigned reality discussion chance may calculate unknown way potential outcome foremost study property simple difference mean sdim estimator sdim unbiased finite universe design found analogue average treatment effect treated att treatment probability uncorrelated potential outcome finite population sensation derive expression variance sdim estimator key limit theorem chronological succession finite population growing sample size show result applied analyze distribution estimand difference difference two stage least square sl designing based perspective treatment completely randomly assigned
| 18
| 1,613,443
|
[
2,
618,
250,
1451,
2119,
427,
1794,
6789,
5416,
6011,
9843,
2812,
610,
376,
1436,
2690,
1059,
1454,
8367,
314,
13276,
314,
19103,
250,
8011,
1799,
2506,
753,
934,
9478,
853,
7824,
974,
1836,
250,
338,
1115,
362,
578,
618,
965,
2533,
476,
1451,
2345,
2119,
982,
1163,
3425,
1083,
2506,
7420,
2506,
4645,
6718,
5492,
4139,
7255,
853,
2967,
2411,
1024,
801,
2890,
5635,
2367,
352,
559,
1004,
1608,
823,
3350,
91,
1951,
3350,
91,
5862,
834,
2690,
618,
1088,
4196,
1611,
2506,
610,
5512,
513,
2506,
1158,
10113,
801,
2890,
834,
1719,
6883,
75,
1527,
2165,
2726,
3350,
91,
1951,
1231,
625,
1396,
12074,
676,
1599,
287,
834,
1719,
3672,
832,
918,
223,
249,
1261,
1849,
555,
454,
193,
1608,
1608,
312,
2031,
2100,
2187,
1450,
3918,
250,
2452,
2506,
3473,
4645,
6718,
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
] |
exploiting causal tensor network structure quantum process efficiently simulate non markovian path integral path integral formulation evolution open quantum system coupled gaussian non interacting environment dynamical contribution latter encoded object called influence functional relate influence functional process tensor general representation quantum stochastic process describing evolution use connection motivate tensor network algorithm simulation multi time correlation open system building recent work influence functional represented term time evolving matrix product operator exploiting symmetry influence functional able use algorithm achieve order magnitude improvement efficiency resulting numerical simulation improved algorithm applied compute exact phonon emission spectrum spin boson model strong coupling demonstrating significant divergence spectrum derived commonly used assumption memorylessness
| 4
| 1,467,674
|
[
2,
3646,
2812,
1540,
256,
497,
406,
455,
2372,
4499,
278,
5663,
1324,
1964,
1324,
1964,
2139,
1085,
1090,
406,
214,
1828,
1476,
278,
2571,
1028,
1602,
1688,
2679,
5104,
934,
1357,
2368,
1653,
5369,
2368,
1653,
455,
1540,
421,
748,
406,
1119,
455,
3706,
1085,
508,
1960,
8411,
1540,
256,
349,
679,
329,
290,
1138,
1090,
214,
2540,
644,
431,
2368,
1653,
3916,
612,
290,
4987,
766,
1568,
941,
3646,
1078,
2368,
1653,
1728,
508,
349,
1455,
452,
2227,
1760,
1370,
1748,
869,
679,
2023,
349,
1261,
1893,
1487,
3793,
1645,
978,
740,
2986,
142,
788,
1183,
4648,
779,
3448,
978,
1712,
3147,
522,
1628,
13223,
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
] |
mw dnn based visual navigation engine autonomous nano drone full autonomous miniaturized robot eg laggard artificial intelligence ai based visual navigation capability extremely challenging driver internet matter edge intelligence capability optic navigation based ai approach deep nervous network dnns becoming permeative standard size drone considered reach nanodrones size centimetre work present first best knowledge demonstration navigation railway locomotive autonomous nano drone capable fold loop end end dnn based visual navigation achieve goal developed complete methodology parallel execution complex dnns directly bard imagination constrained milliwatt scale node system based break novel parallel ultra low power computing platform commercial open source crazyflie nano quadrotor part general methodology discus software mapping proficiency enable state department art deep convolutional neural network presented fully executed circuit board within strict fps real time restraint compromise term flight solvent processing done mw average navigation engine flexible used span full performance range peak performance street corner achieve fps nevertheless wipe medium power envelope deployed nano aircraft
| 3
| 123,087
|
[
2,
6518,
2631,
250,
1386,
4310,
2055,
2615,
3897,
6497,
1616,
2615,
18261,
1880,
1454,
2667,
4462,
18666,
2611,
3457,
2582,
250,
1386,
4310,
2459,
3611,
1759,
4712,
3890,
1074,
1226,
3457,
2459,
4319,
4310,
250,
2582,
338,
562,
18961,
256,
4257,
5733,
8886,
342,
974,
918,
6497,
1657,
2123,
14347,
5602,
32,
918,
15293,
10407,
431,
415,
499,
1539,
1179,
4398,
4310,
15006,
8560,
9276,
2615,
3897,
6497,
3194,
4088,
1984,
904,
904,
2631,
250,
1386,
4310,
1455,
1985,
1502,
1878,
2530,
1912,
4021,
586,
4257,
1986,
14355,
19745,
2421,
16057,
6974,
7140,
680,
1418,
214,
250,
2061,
758,
1912,
2403,
485,
716,
1617,
2145,
5638,
1090,
829,
9596,
7129,
5873,
400,
3897,
13320,
1229,
421,
2530,
883,
2255,
2256,
1777,
1302,
2769,
314,
13276,
930,
562,
1747,
549,
256,
1588,
1771,
9028,
2453,
6633,
992,
3773,
11500,
495,
290,
1620,
263,
36,
9387,
612,
5479,
9304,
1567,
3870,
6518,
1611,
4310,
2055,
3322,
522,
4963,
1616,
473,
889,
2596,
473,
8956,
5549,
1455,
11500,
5222,
7254,
5138,
1865,
716,
5061,
4727,
3897,
9431,
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
] |
characterization classification optimal lcd code linear complementary dual lcd code linear code intersect dual trivially give characterization lcd code large minimum weight using characterization determine largest minimum weight among lcd code moreover give complete classification optimal lcd code
| 0
| 5,366
|
[
2,
2537,
920,
819,
13695,
967,
617,
4229,
1641,
13695,
967,
617,
967,
12129,
1641,
12392,
1041,
2537,
13695,
967,
506,
2151,
1152,
291,
2537,
1988,
4085,
2151,
1152,
1509,
13695,
967,
1415,
1041,
1878,
920,
819,
13695,
967,
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
] |
transmitting quantum data superposing causal parliamentary procedure mutually unbiased measurement quantum measurement sequentially act one reciprocally unbiassed trail gross removal data encoded input quantum land find order two sequential measure superposed quantum switch information encoded input still retained output state
| 11
| 294,246
|
[
2,
10937,
406,
233,
5220,
9671,
12901,
2812,
165,
2117,
1391,
252,
1898,
8015,
5862,
852,
406,
852,
7440,
1955,
401,
7644,
97,
4744,
17223,
2021,
13265,
7681,
6176,
233,
5104,
983,
406,
2382,
696,
452,
312,
3188,
949,
17819,
406,
4393,
545,
5104,
983,
1923,
12821,
1633,
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
] |
bose einstein condensation confined ring stirred rotate delta tie consider bose einstein condensate repulsive fundamental interaction confined ring dirac delta rotate constant speed spectrum stationary solution delta comoving shape analyzed term nonlinear coupling delta speed delta strength english hawthorn take positive negative value get set muscularity level conforming multiple swallow tailed coat structure argument infinite dwell bright soliton gray nighttime solitonic gear vortex analytical expression term jacobi oval function provided wave function chemical likely compute critical velocity perform bogoliubov analysis ground state first excited level establishing potential adiabatic passage stationary stable solution set adiabatic cycle proposed gray soliton vortex arbitrary quantized angulate impulse obtained ground state setting unsetting rotating delta
| 13
| 1,258,736
|
[
2,
4705,
2982,
6657,
5065,
2277,
12795,
1670,
14560,
5944,
9780,
520,
4705,
2982,
4496,
7181,
1708,
719,
5065,
2277,
2937,
5944,
14560,
1269,
1691,
978,
2794,
533,
5944,
14123,
1761,
3273,
612,
1144,
1183,
5944,
1691,
5944,
2126,
4884,
5592,
225,
9980,
1884,
1629,
2221,
730,
3195,
376,
3161,
15338,
4457,
712,
11703,
849,
1610,
18341,
7656,
235,
67,
497,
3306,
2149,
15168,
3595,
3768,
10985,
8338,
2038,
17778,
14197,
3240,
2428,
2165,
612,
5483,
13940,
61,
327,
2082,
713,
327,
2531,
3258,
1893,
1166,
1621,
347,
10318,
494,
1636,
314,
499,
3934,
712,
5670,
801,
4702,
6022,
2794,
1834,
533,
376,
4702,
2371,
459,
10985,
3768,
3240,
1891,
4848,
1405,
1773,
8959,
970,
1636,
314,
1163,
5935,
16216,
3964,
5944,
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
] |
shell set mobius domain wall fermion gradient flux hisq activeness using omega baryon mass gradient flow scale report substitute percent scale determination using omega baryon tidy sum slope flow method calculation performed ensemble highly improved rooted staggered sea quark cheese contour generated milc callat collaboration valence quark natural process used mobius land wall fermion solved contour gradient flow smear use flowtime lattice building block ensemble span quadruplet lattice space chain spate fm sestet pion mass range mev multiple grille volume ensemble gradient flow graduated table omega baryon mass computed dimensionless product quantity extrapolate continuum infinite intensity bound interpolated strong arm illumination foreign spell quark mass percentage gunpoint isospin limit resulting purpose fm fm source statistical systematic incertitude accounted dominant dubiousness result stochastic uncertainty allow clear caterpillar track per mille dubiety recently hold budapest marseille wuppertal collaboration
| 19
| 443,445
|
[
2,
3583,
376,
11194,
749,
3129,
2306,
1154,
2136,
5897,
32,
56,
1894,
691,
291,
10038,
3941,
669,
1154,
928,
680,
1439,
11671,
5164,
680,
4267,
291,
10038,
3941,
12882,
50,
1327,
5148,
928,
210,
1672,
2183,
2186,
1752,
2023,
8576,
9752,
7261,
2269,
6672,
3953,
6417,
1472,
4043,
33,
1052,
67,
4552,
6018,
2269,
1398,
455,
522,
11194,
2382,
3129,
2306,
3428,
6417,
1154,
928,
12957,
508,
928,
2038,
1276,
2540,
1505,
2186,
4963,
15831,
36,
1276,
410,
1882,
17527,
1379,
5088,
15495,
1379,
36,
4722,
669,
889,
4016,
849,
9259,
7270,
38,
2116,
2186,
1154,
928,
15332,
40,
4436,
10038,
3941,
669,
2852,
9284,
1568,
2797,
12847,
3269,
2149,
2947,
451,
14512,
788,
3528,
6169,
13469,
837,
7270,
2269,
669,
8162,
13413,
3523,
9042,
625,
1748,
2676,
5088,
5088,
829,
1558,
2202,
317,
4204,
7098,
9842,
3986,
7634,
3246,
691,
249,
1119,
1451,
735,
2905,
15325,
9174,
7270,
66,
1862,
184,
2427,
38,
7634,
11727,
50,
1305,
2660,
4706,
18007,
36,
3439,
254,
6060,
11862,
11083,
2929,
61,
4552,
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
] |
self reliant multirobot technology mar mining base construction operation beyond space exploration next critical measure towards survive working space requires developing blank economy one important challenge space economy ensuring humbled cost transport buff material unmatched gravity well another escape delta km earth make suggestion expensive transporting material moon take km mar km based factor moon mar become dependency export material place economy one critical question resource required sustain space economy weewee identify critical resource sustain human life also use propulsion attitude controller power thermic computer storage radiation auspex scheme water may obtained earth situ resource utilization isru course human robotic space exploration based upon important finding develop energy exemplar determine feasibility developing mining base mar mine export piddle transport water supply mar escape flight design mining base utilize renewable energy source namely photovoltaics solar thermal concentrators provide power construct base keep operational export water using mass driver electrodynamic railgun study found key keeping mining base simple effective shuffle robotic team golem consisting infrastructure robot would used construct entire base using locally available resource fully operate base would decrease energy motive fold furthermore foundation built time faster using robotics printing show automation robotics key making base technologically feasible
| 3
| 133,996
|
[
2,
1081,
2141,
150,
329,
4548,
148,
1958,
3439,
4453,
2533,
1793,
1837,
2173,
410,
3081,
2432,
1166,
949,
1766,
10832,
4442,
410,
2007,
3533,
14794,
7502,
401,
994,
1136,
410,
7502,
6304,
1025,
8405,
1103,
1538,
19291,
1222,
7579,
19538,
1870,
529,
2630,
6126,
5944,
4111,
3064,
1225,
8810,
3833,
17818,
1222,
8285,
1884,
4111,
3439,
4111,
250,
955,
8285,
3439,
2387,
3486,
18509,
1222,
3249,
7502,
401,
1166,
1408,
1655,
2089,
5284,
410,
7502,
525,
1346,
1809,
1678,
1166,
1655,
5284,
1047,
2434,
364,
508,
10890,
8581,
2854,
716,
996,
72,
2003,
3408,
2463,
12985,
5138,
48,
903,
2767,
853,
970,
3064,
5270,
1655,
6493,
1016,
5587,
5293,
1047,
3388,
410,
3081,
250,
2761,
994,
1545,
578,
470,
12617,
1988,
4380,
3533,
4453,
2533,
3439,
11305,
18509,
11811,
4377,
1538,
2767,
5658,
3439,
6126,
5479,
618,
4453,
2533,
3951,
7561,
470,
829,
2511,
17917,
2131,
1609,
2670,
17272,
32,
693,
716,
1244,
2533,
4141,
4927,
18509,
2767,
291,
669,
4712,
19854,
11493,
4399,
39,
352,
1088,
1231,
6216,
4453,
2533,
1004,
1013,
11528,
3388,
4255,
12788,
96,
3618,
4488,
1880,
2274,
522,
1244,
3487,
2533,
291,
2977,
1192,
1655,
1771,
5545,
2533,
2274,
2957,
470,
19153,
4088,
1518,
4933,
3447,
290,
2829,
291,
5751,
11798,
223,
6942,
5751,
1231,
2016,
2533,
17995,
4138,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
adaptive first order system least square finite element method second order elliptic equation non divergence form paper study adaptive first order least square finite element method second order elliptic partial differential equation non divergence form unlike classical finite element method us weak formulation pdes applicable non divergence equation first order least square formulation naturally stable weak form without using integration part allow simple finite element approximation space build posteriori error estimator adaptive mesh refinement non divergence equation first written system first order equation introducing gradient new variable two version least square finite element method using simple finite element developed paper one lsfem us linear element weighted lsfem mesh dependent weight ensure optimal convergence mild assumption pde unique solution optimal priori posteriori error estimate proved extra assumption operator regularity weaker traditionally assumed convergence standard norm weighted lsfem also discussed error estimate derived formulation perform extensive numerical experiment smooth non smooth even degenerate coefficient smooth singular solution test accuracy efficiency proposed method
| 0
| 26,919
|
[
2,
1917,
499,
452,
214,
2100,
2187,
834,
1241,
210,
937,
452,
3250,
552,
278,
3448,
337,
362,
352,
1917,
499,
452,
2100,
2187,
834,
1241,
210,
937,
452,
3250,
2170,
1493,
552,
278,
3448,
337,
3564,
1070,
834,
1241,
210,
143,
1207,
2139,
5346,
3649,
278,
3448,
552,
499,
452,
2100,
2187,
2139,
3241,
1834,
1207,
337,
973,
291,
2984,
1229,
735,
1004,
834,
1241,
1056,
410,
2655,
8568,
857,
1951,
1917,
3453,
4942,
278,
3448,
552,
499,
5056,
214,
499,
452,
552,
3632,
1154,
385,
1089,
312,
1904,
2100,
2187,
834,
1241,
210,
291,
1004,
834,
1241,
1502,
362,
401,
7114,
16743,
143,
617,
1241,
2456,
7114,
16743,
3453,
1521,
1152,
3943,
819,
1298,
5047,
1628,
5376,
2326,
533,
819,
5325,
8568,
857,
999,
3145,
2818,
1628,
941,
3665,
6170,
6983,
4032,
1298,
974,
1053,
2456,
7114,
16743,
364,
2443,
857,
999,
1712,
2139,
347,
2095,
869,
427,
1651,
278,
1651,
1040,
3920,
1624,
1651,
1911,
533,
821,
865,
1370,
459,
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
] |
sequential generation envision entangled pair state introduce plaquette projected entangled pair state class body politic latticework give apply sequential unitaries acting plaquettes overlapping region fulfill area law web posse tenacious range coefficient correlation course extrapolate relevant class tensor network state identify subclass efficiently prepared radial fashion contains family isometric line tensor meshwork country well show subclass efficiently fain using array photon source
| 13
| 1,271,884
|
[
2,
3188,
1356,
9817,
4695,
1140,
314,
1077,
17390,
5145,
4695,
1140,
314,
463,
1577,
19633,
1276,
192,
1041,
1780,
3188,
13615,
5136,
17390,
32,
6254,
977,
8019,
1589,
1746,
3615,
4914,
4265,
84,
3246,
889,
1624,
1138,
5293,
12847,
1980,
463,
1540,
256,
314,
1678,
8567,
2372,
7714,
3303,
4375,
2927,
1644,
8894,
1175,
1540,
3453,
192,
4299,
529,
223,
8567,
2372,
1818,
60,
291,
2455,
1658,
829,
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
] |
infer hooft unusual person non whirl manifold field mixed anomaly distinct chiral symmetry general heavy particle color tang bcf background gage theory flavor paul adrien maurice dirac fermion internal representation ality formulated non tailspin manifold show study hypothesis turning worldwide bcf fluxion logical fermion transition function consider several example detail argue matching anomaly non spin multiply place stronger constraint infrared physic compared one spin manifold eg also show consistently formulate assorted chiral bore theory non spin manifold
| 19
| 429,787
|
[
2,
2633,
12857,
7202,
2588,
278,
787,
151,
43,
1542,
381,
2519,
2595,
2770,
2687,
1078,
421,
2476,
836,
2802,
4628,
6388,
52,
1919,
2756,
112,
476,
4154,
15116,
198,
118,
62,
157,
11939,
95,
2937,
2306,
3060,
748,
8440,
351,
4117,
278,
2735,
15395,
1542,
223,
352,
2765,
9248,
8169,
6388,
52,
2136,
287,
5615,
2306,
908,
327,
520,
876,
848,
1639,
3475,
2288,
2595,
278,
740,
11758,
3249,
4631,
986,
3182,
1422,
985,
401,
740,
1542,
1454,
364,
223,
4408,
3763,
13338,
64,
2687,
16724,
476,
278,
740,
1542,
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
] |
going beyond minimal texture quark mass matrix era precision measurement attempt made carry detailed analysis quark mass matrix structure beyond minimal texture particular keeping mind precision measurement ckm parameter well refinement range light quark mass examined viability possible combination hermitian texture zero quark mass matrix interestingly one find possibility excluded present quark mixing data thereby important implication model building
| 7
| 1,554,109
|
[
2,
6655,
2173,
2169,
4676,
2269,
669,
766,
5723,
2235,
852,
3628,
2219,
3771,
2721,
494,
2269,
669,
766,
497,
2173,
2169,
4676,
756,
6216,
7486,
2235,
852,
15665,
481,
529,
4942,
889,
1003,
2269,
669,
5395,
9499,
1117,
2033,
3692,
4676,
1362,
2269,
669,
766,
5729,
401,
696,
2851,
9375,
415,
2269,
3153,
233,
3719,
994,
3041,
142,
2540,
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
] |
contemporary fragment angulate momentum fission recent analysis data based data wilson nature found angular momentum atomic fission sherd uncorrelated based come generator concluded spin therefore square scission occurred show nucleon interchange mechanism implement well demonstrate event event fission good example agitating collective rotational mode two spin highly correlate nevertheless lead fragment twisting largely uncorrelated fact invalidates reasoning author furthermore account wilson nature mass dependence average fragment spin sawtooth structure demonstrate behavior naturally issue plate deformation gist included moment inertia fragment scission
| 14
| 979,502
|
[
2,
8652,
5967,
1405,
1773,
1772,
9916,
644,
494,
233,
250,
233,
6598,
2014,
1088,
2669,
1772,
2671,
9916,
16053,
40,
10113,
250,
3543,
2896,
11025,
740,
1840,
2187,
18552,
287,
9673,
223,
4376,
14252,
1112,
1795,
529,
717,
1170,
1170,
9916,
1860,
848,
592,
4976,
133,
3723,
4616,
1082,
312,
740,
1752,
6925,
5222,
840,
5967,
12059,
4373,
10113,
769,
12152,
763,
3560,
2953,
1518,
1948,
6598,
2014,
669,
1991,
1611,
5967,
740,
10623,
2682,
984,
497,
717,
1017,
3241,
1737,
4655,
2795,
11224,
79,
4707,
1147,
7632,
5967,
18552,
287,
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
] |
using tending modelling long condition dependency occupancy behavior model sham household energy demand based different occupant household type behavioral design receive increasing attention last year due need better understand fundamental characteristic physique demand side model described literature based time use survey data markoff chain due nature underlying data markov property sufficiently possible consider day solar day dependency occupant behavior exact mapping day day dependency increasing importance accurately reproducing mobility pattern therefore assessing charging flexibility electric fomite study bridge gap energy related activity modelling novel machine learning approach objective better incorporate finding subject area social practice theory simulation occupancy behavior weekly mobility data merged daily time use survey information use attention free base model inaugural measure autoregressive model presented generates synthetic weekly mobility schedule individual occupant thereby capture day day dependency mobility behavior second step imputation model presented enriches weekly mobility docket detailed information energy relevant home activity weekly activity visibility build basis mold consistent electrical energy heating system mobility demand visibility household furthermore approach presented form basis providing data socio demographically differentiated occupant behavior general public
| 18
| 1,605,707
|
[
2,
291,
17082,
3082,
891,
587,
3486,
9314,
1017,
142,
11826,
9835,
470,
2649,
250,
467,
18010,
9835,
654,
6245,
618,
7266,
1660,
1392,
2787,
1821,
824,
1142,
1251,
1121,
1708,
1548,
7580,
544,
2649,
2825,
142,
2422,
1810,
250,
290,
508,
1799,
233,
1280,
2921,
1882,
824,
2014,
1924,
233,
2552,
559,
3566,
1117,
520,
3040,
2131,
3040,
3486,
18010,
1017,
1487,
2256,
3040,
3040,
3486,
1660,
2420,
3236,
7058,
3733,
1412,
1840,
6106,
6821,
4544,
2253,
17111,
382,
352,
4579,
1571,
470,
1264,
2194,
3082,
758,
825,
285,
338,
1715,
1251,
4268,
1545,
2315,
1589,
1794,
2686,
476,
679,
9314,
1017,
16626,
3733,
233,
12665,
5410,
290,
508,
1799,
545,
508,
1392,
965,
2533,
142,
83,
17841,
393,
949,
5779,
142,
1588,
4013,
2338,
16626,
3733,
6917,
1570,
18010,
3719,
2052,
3040,
3040,
3486,
3733,
1017,
937,
1228,
8957,
142,
1588,
19394,
16626,
3733,
16566,
77,
2721,
545,
470,
1980,
4885,
2194,
16626,
2194,
7918,
2655,
2272,
9363,
40,
1460,
4188,
470,
4576,
214,
3733,
2649,
7918,
9835,
1518,
338,
1588,
337,
2272,
2494,
233,
8384,
7414,
200,
15011,
18010,
1017,
421,
2133,
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
] |
induced quasielastic output hyperon leading pi meson quasielastic production cross section polarisation hyperon induced free nucleon well ar sub gev energy region reviewed effect second class current axial vector sector without invariance well burden su symmetry break studied find cross section respective polarisation component effect used determine axial vector transition form element strangeness sector test validity various symmetry weak hadronic current like invariance invariance su symmetricalness hyperon decay dominantly pion giving extra contribution weak pi meson production induced antineutrino case atomic target like ar contribution shown substantial compared pion product excitation energy range gev study could useful dune experiment argon used target material electronic imaging particle potential particle racetrack identified
| 17
| 365,902
|
[
2,
1627,
2119,
4289,
1633,
11212,
2085,
3479,
4073,
2119,
4289,
2155,
1202,
2524,
9567,
11212,
1627,
965,
4376,
529,
245,
389,
3598,
470,
977,
8232,
610,
937,
463,
845,
5850,
1134,
3364,
973,
3928,
529,
7420,
158,
1078,
2061,
1590,
696,
1202,
2524,
5718,
9567,
1071,
610,
522,
1988,
5850,
1134,
908,
337,
1241,
13001,
3364,
821,
4633,
1002,
1078,
1207,
5741,
845,
1079,
3928,
3928,
158,
15129,
691,
11212,
1552,
18088,
4722,
4870,
2818,
1688,
1207,
3479,
4073,
2155,
1627,
11195,
516,
2671,
1176,
1079,
245,
1688,
1186,
4302,
985,
4722,
1568,
2418,
470,
889,
3598,
352,
1499,
2094,
10836,
427,
9560,
522,
1176,
1222,
2162,
1909,
836,
801,
836,
8813,
19326,
2807,
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
] |
systematic v statistical uncertainty mass magnification hubble frontier field hubble frontier field data along multiple data set obtained telescope provided extensive constraint cluster lens date multiple lens modeling team analyzed field made public number deliverable comparing result undertake unique vital test state cluster lens modeling specifically see well different team reproduce similar magnification mass profile find circularly averaged mass profile field remarkably constrained scatter distance arcmin cluster core yet magnification vary significantly averaged across six field find bias scatter modest magnification statistical error reported individual team often significantly smaller difference among team indicating importance continued systematics study cluster lensing
| 10
| 1,310,583
|
[
2,
2202,
26,
1558,
1451,
669,
11953,
5083,
8125,
381,
5083,
8125,
381,
233,
1622,
849,
233,
376,
970,
3067,
2082,
2095,
986,
878,
3982,
4669,
849,
3982,
1490,
4255,
3273,
381,
2219,
2133,
486,
3997,
195,
3265,
249,
17440,
2326,
6461,
821,
314,
878,
3982,
1490,
1855,
2956,
529,
467,
4255,
4720,
960,
11953,
669,
2379,
696,
10663,
5172,
669,
2379,
381,
5344,
2421,
1440,
1193,
15466,
878,
1915,
2334,
11953,
2195,
1411,
5172,
1496,
3621,
381,
696,
1736,
1440,
8861,
11953,
1558,
857,
2987,
1570,
4255,
1429,
1411,
2723,
1608,
1509,
4255,
4965,
2420,
8630,
10776,
352,
878,
5089,
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
] |
full configuration interaction quantum monte carlo study sco tio vo molecule accurate ab initio calculation transition metal monoxide molecule attracted extensive attention relevance physical chemical science well theoretical challenge treating strong electron correlation meanwhile recent year witnessed rapid development full configuration interaction quantum monte carlo fciqmc method tackle electron correlation study carry fciqmc simulation sco tio vo molecule obtain accurate description low lying electronic state sco tio vo including state significant multi configurational character fciqmc result used ass performance several wave function theory density functional theory method study highlight challenging nature electronic structure transition metal oxide demonstrates fciqmc promising technique going forward treat complex transition metal oxide molecule material
| 2
| 1,360,952
|
[
2,
1616,
1932,
719,
406,
2545,
2565,
352,
17100,
11508,
2822,
2570,
1677,
598,
5986,
1672,
908,
2431,
10311,
12908,
743,
2570,
5702,
2095,
1392,
4479,
1347,
2531,
2430,
529,
1238,
1136,
8552,
788,
1149,
1138,
6043,
644,
1821,
10233,
2522,
1642,
1616,
1932,
719,
406,
2545,
2565,
18224,
15858,
210,
3898,
1149,
1138,
352,
3771,
18224,
15858,
679,
17100,
11508,
2822,
2570,
575,
1677,
2045,
485,
7447,
2162,
314,
17100,
11508,
2822,
995,
314,
779,
329,
14163,
649,
18224,
15858,
249,
522,
446,
473,
876,
713,
327,
476,
784,
1653,
476,
210,
352,
3025,
1759,
2014,
2162,
497,
908,
2431,
5451,
3755,
18224,
15858,
2312,
703,
6655,
2699,
2174,
586,
908,
2431,
5451,
2570,
1222,
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
] |
virus circumvents energy barrier form symmetric shell previous self assembly experiment model icosahedral work virus render physiological condition capsid protein initially bind genome en masse shot mechanism form nucleoprotein complex disordered state raise question virion assembled extremely ordered social structure host cell using small angle ray scattering find disorder order transition occurs physiological condition upon increment capsid protein concentration cryo transmission electron microscopy reveals closed spherical shell containing vitro transcribed viral rna even ph marked contrast previous observation use monte carlo simulation explain disorder order transition come carapace grows structure disordered intermediate distribution pentamers go icosahedral subgroup become energetically unfavorable cap easily divorce reassemble overcoming energy barrier formation perfect icosahedral case addition monitor growth capsid condition nucleation growing prevalent pathway show key upset rule order transition en masse nucleation growth pathway lie strength elastic energy compared force system including protein protein interaction chemical substance likely free subunit finding explain least portion perfect virion icosahedral order form different consideration including physiological one
| 5
| 1,040,620
|
[
2,
6232,
17496,
470,
3834,
337,
1879,
3583,
912,
1081,
5018,
427,
142,
17133,
11790,
431,
6232,
4407,
8907,
587,
7924,
127,
3861,
5392,
14565,
8480,
145,
669,
38,
3031,
1112,
337,
1314,
10796,
16239,
586,
5091,
314,
6674,
1408,
2294,
287,
9813,
3611,
4046,
1794,
497,
3144,
1395,
291,
762,
2228,
1245,
1661,
696,
2747,
452,
908,
3866,
8907,
587,
2761,
4690,
7924,
127,
3861,
3280,
13021,
2264,
1149,
4158,
3680,
2064,
3569,
3583,
3438,
13023,
17308,
9926,
9113,
1040,
232,
6846,
2070,
912,
972,
508,
2545,
2565,
679,
1668,
2747,
452,
908,
3543,
884,
16506,
38,
5636,
497,
5091,
3094,
555,
12219,
4986,
32,
902,
17133,
11790,
3740,
2387,
12826,
19452,
685,
3112,
15154,
65,
95,
110,
17294,
172,
10111,
470,
3834,
1564,
3261,
17133,
11790,
516,
827,
5915,
2084,
7924,
127,
587,
7935,
3672,
8108,
5665,
223,
1231,
8514,
77,
2046,
452,
908,
145,
669,
38,
7935,
2084,
5665,
2098,
2126,
2933,
470,
985,
2058,
214,
995,
3861,
3861,
719,
2531,
13687,
3258,
965,
389,
8263,
36,
1545,
1668,
2100,
7071,
3261,
2294,
287,
17133,
11790,
452,
337,
467,
3828,
995,
8907,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
radiomic feature multi parametric mri present stable association analogous histological feature brain cancer patient mister derived radiomic feature demonstrated square prognosticative public utility modeling different prognostic factor spongioblastoma brain cancer crab however biological family relationship underpinning predictive model largely unstudied generalizability model also called question examine localized relationship mister derived radiomic feature histology gain histomic feature using dataset einstein cancer patient tile based radiomics feature collected tw wiley post demarcation tw flare dwi educe adc image take prior patient death analogous histomic feature collect autopsy sample co registered mri feature collected original image well wavelet chemical decomposition reaction double resulting feature per mr image histology image correlate analysis used as degree association radiomic histomic pair mri influence several confounds also assessed using linear mixed effect model normalized radiomic histomic distance testing main effect scanner different vendor acquisition field strength result whole largely heterogenous several feature certify substantial association histomic analog particularly derived flair w post contrast tw image tie feature typically presented stable across confounding factor well data suggest subset radiomic feature able consistently capture texture information underlying tissue histology
| 5
| 1,001,497
|
[
2,
18388,
571,
329,
3105,
4346,
415,
1834,
4173,
4564,
18520,
571,
2773,
4144,
2708,
9742,
59,
1712,
18388,
571,
2327,
2187,
12720,
342,
2133,
3312,
1490,
467,
12720,
955,
7945,
12901,
4211,
3542,
550,
8693,
2773,
4144,
15449,
627,
3812,
1644,
2175,
13227,
2718,
142,
4373,
3983,
19061,
9526,
142,
364,
1357,
1408,
3307,
3510,
2175,
9742,
59,
1712,
18388,
571,
15763,
2146,
2398,
6926,
571,
291,
608,
2982,
4144,
2708,
8522,
250,
16556,
571,
3362,
282,
5732,
6109,
1717,
465,
14159,
75,
282,
4969,
8934,
31,
5335,
38,
13135,
488,
1884,
1388,
2708,
5818,
4564,
2398,
6926,
571,
5554,
2837,
16488,
832,
235,
12805,
4346,
571,
3362,
2167,
488,
529,
6122,
2531,
2246,
2608,
2377,
1748,
571,
184,
4018,
488,
15763,
488,
6925,
494,
522,
548,
1402,
4173,
18388,
2398,
6926,
1140,
4346,
2368,
876,
11048,
4091,
364,
7088,
291,
617,
2519,
610,
142,
5067,
18388,
2398,
6926,
1193,
2248,
925,
610,
10220,
467,
13139,
4619,
381,
2126,
249,
3317,
4373,
18180,
876,
571,
14917,
4302,
4173,
2398,
6926,
2073,
2779,
1712,
705,
3904,
27,
1717,
2070,
282,
488,
9780,
571,
2593,
1588,
1834,
1496,
9719,
955,
529,
233,
1503,
2553,
18388,
571,
1728,
4408,
2052,
4676,
545,
1924,
4385,
15763,
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
] |
practical challenge active learning lesson learned live experimentation tested live setting use active learning selecting text sentence human annotation used training thai segmentation machine learning model study two concurrent annotated sample constructed one random sampling sentence text corpus model based scoring ranking sentence corpus course experiment observed effect significant change learning environment likely occur real world learning task describe active learning strategy interacted event discus practical challenge encountered using active learning live setting
| 0
| 13,068
|
[
2,
2065,
1136,
1894,
285,
10432,
2316,
7006,
9341,
3209,
7006,
1163,
508,
1894,
285,
5713,
1247,
3472,
1047,
3534,
522,
660,
149,
4225,
1721,
825,
285,
142,
352,
312,
6399,
4796,
832,
2776,
401,
753,
1836,
3472,
1247,
3731,
142,
250,
7017,
4082,
3472,
3731,
5293,
427,
1059,
610,
779,
1173,
285,
1028,
3258,
1899,
495,
1258,
285,
546,
1734,
1894,
285,
1168,
4636,
64,
1170,
883,
2065,
1136,
7303,
291,
1894,
285,
7006,
1163,
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
] |
modulus persistence controlled loewner kufarev equation random matrix first introduce two tau procedure appear either role integrable hierarchy govern bernhard riemann map jordan curve conformal field theory universal grassmannian saucer various aspect interrelation subsequently establish refreshing connection free probability growth model integrable system particular second order freeness summarise dictionary stretch former link conformal map large matrix inherent higher order free probability within context dynamically evolve contour determine class driving function controlled loewner kufarev equation enables give persistence idea solution equating embedded segal wilson grassmannian
| 8
| 662,515
|
[
2,
3549,
6436,
2988,
14262,
8673,
11611,
846,
552,
753,
766,
499,
1077,
312,
6578,
1898,
1913,
1896,
1574,
4067,
3865,
3847,
5485,
13713,
4728,
813,
8018,
1684,
3076,
381,
476,
2363,
8476,
4534,
589,
34,
1002,
2346,
18247,
5139,
1227,
19267,
70,
1960,
965,
1158,
2084,
142,
4067,
214,
756,
937,
452,
12844,
18781,
5887,
8642,
4753,
1927,
3076,
813,
506,
766,
3775,
1084,
452,
965,
1158,
992,
1115,
4213,
6036,
6417,
1988,
463,
2594,
327,
2988,
14262,
8673,
11611,
846,
552,
2296,
1041,
6436,
2399,
533,
344,
413,
3141,
14658,
6598,
8476,
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
] |
counterintuitive example relation zt thermoelectric efficiency thermoelectric figure merit zt defined using electrical conductivity seebeck coefficient thermal conductivity absolute temperature widely used simple estimator conversion efficiency thermoelectric heat engine material property constant slowly varying higher zt ensures higher maximum conversion efficiency thermoelectric material however material property vary strongly efficiency prediction based zt inaccurate especially wide temperature application moreover although zt value continue increase investigation relationship zt efficiency higher zt regime paper report counterintuitive situation comparing two material although one material higher zt value whole operational temperature range maximum conversion efficiency smaller indicates material comparison evaluation exact efficiency opposed simple comparison zts necessary certain case
| 2
| 1,468,350
|
[
2,
17269,
848,
893,
19350,
7600,
1370,
7600,
7547,
7154,
19350,
1613,
291,
4188,
3815,
12565,
1624,
1609,
3815,
3999,
906,
2342,
522,
1004,
1951,
3917,
1370,
7600,
2551,
2055,
1222,
559,
1269,
6881,
2566,
1084,
19350,
6499,
1084,
1749,
3917,
1370,
7600,
1222,
627,
1222,
559,
2195,
2120,
1370,
839,
250,
19350,
9098,
2301,
1762,
906,
542,
1415,
2302,
19350,
730,
6997,
1376,
3111,
2175,
19350,
1370,
1084,
19350,
1526,
362,
1439,
17269,
3055,
3265,
312,
1222,
2302,
401,
1222,
1084,
19350,
730,
3317,
4927,
906,
889,
1749,
3917,
1370,
2723,
4261,
1222,
1848,
1448,
1487,
1370,
7776,
1004,
1848,
19350,
32,
2446,
1452,
516,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
using company specific headline convolutional neuronic network predict stock variation work present convolutional neural network cnn anticipation next day stock fluctuation using company specific news program headline experimentation evaluate model carrying using various configuration word embeddings convolutional filter width reported total number convolutional filter used far fewer common reducing dimensionality task without personnel casualty accuracy moreover multiple hidden layer decrease dimensionality employ classification accuracy achieved using pre learned embeddings fine tuned training represent specific context use task multiple filter width besides implemented detect different length phrase key classification trading simulation conducted use presented classification result initial investment treble solar day testing period using optimal categorization configuration simple trading strategy ii novel method presented reduce risk trading pretending adjustment sigmoidal class threshold labelling headline using multiple grade form basis method compounding approach found treble average trade profit atp achieved baseline feigning
| 15
| 1,174,302
|
[
2,
291,
5971,
1255,
15349,
1747,
3945,
72,
256,
1480,
5292,
1929,
431,
415,
1747,
549,
256,
1957,
16306,
2432,
3040,
5292,
2160,
291,
5971,
1255,
4140,
1349,
15349,
9341,
1802,
142,
7601,
291,
1002,
1932,
1963,
2763,
1747,
1875,
3191,
2987,
1876,
486,
1747,
1875,
522,
2209,
5289,
1277,
3390,
4130,
546,
973,
2588,
3843,
18203,
351,
865,
1415,
849,
3084,
975,
2957,
4130,
1550,
920,
865,
2002,
291,
519,
2316,
2763,
2489,
4697,
660,
570,
1255,
1115,
508,
546,
849,
1875,
3191,
3923,
2775,
2106,
467,
1698,
8585,
1231,
920,
6198,
679,
3341,
508,
1588,
920,
249,
1352,
6905,
4148,
172,
2131,
3040,
2248,
1278,
291,
819,
10823,
1932,
1004,
6198,
1168,
1465,
758,
210,
1588,
2068,
1965,
6198,
4506,
4409,
6884,
14306,
61,
463,
2413,
10244,
15349,
291,
849,
8923,
337,
2272,
210,
4132,
70,
338,
1088,
4148,
172,
1611,
2798,
7559,
18827,
2002,
2109,
412,
248,
70,
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
] |
constraining relativistic mean playing area modeling prex data good military unit revisited free base current measurement neutron distribution radius pb prex data visited recently developed iopb force parameter fine tune specific couple within relativistic beggarly playing field model mesotron coupling meson coupling refitted reproduce experimental neutron radius pb without compromising bulk property finite nucleus infinite nuclear matter observables modified parameter set applied calculate gross property finite nucleus double closed shell nucleus practice obtain various unnumbered nuclear matter observables saturation addition force parameter adopted calculate property high isospin asymmetry dense system neutron star matter test substantiation constraint gw binary neutron star unification event tune force predicting relatively good result finite infinite atomic matter system current restriction neutron prex systematic analysis habituate refitted parametric quantity set atomic schmoose communicated shortly
| 14
| 906,057
|
[
2,
6635,
2662,
823,
8209,
1589,
1490,
519,
48,
233,
1860,
15441,
1436,
8490,
965,
2533,
845,
852,
2185,
555,
2440,
3727,
519,
48,
233,
14072,
1305,
1502,
9502,
10772,
2058,
481,
2489,
5618,
1255,
5552,
992,
2662,
4051,
4462,
11055,
50,
8209,
381,
142,
2198,
16317,
1183,
4073,
1183,
1597,
1866,
64,
4720,
982,
2185,
2440,
3727,
973,
10725,
2564,
559,
834,
2993,
2149,
2461,
1074,
3622,
2741,
481,
376,
1261,
2967,
7681,
559,
834,
2993,
2377,
2064,
3583,
2993,
2686,
575,
1002,
8139,
9149,
64,
2461,
1074,
3622,
5843,
827,
2058,
481,
4357,
2967,
559,
298,
9042,
4224,
2637,
214,
2185,
706,
1074,
821,
2877,
75,
986,
3413,
1446,
2185,
706,
9923,
1170,
5618,
2058,
3285,
3125,
1860,
249,
834,
2149,
2671,
1074,
214,
845,
4069,
2185,
519,
48,
2202,
494,
8842,
9000,
1597,
1866,
64,
3105,
2797,
376,
2671,
602,
11236,
859,
16804,
15330,
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
] |
emergent entropy production hydrodynamics quantum many trunk system study dynamic locally conserved energy ergodic local many body quantum system lattice additional symmetry leave dynamic well approximated coarse grain classical additive functional diffusion equation probability spatial configuration energy equivalent nonlinear stochastic hydrokinetics describe diffusion energy physical spacetime find absence seizure non hydrodynamic slow level freedom nonlinear fluctuation dissipation theorem emergence weakly interacting energizing theory hydrodynamic mode near thermic equilibrium observable part microscopic entropy obeys local second law thermodynamics quantitatively accord phenomenological prediction hydrokinetics approach naturally generalizes ergodic system additional symmetry may chair numerical algorithm calculate dissemination incessant fretwork model implies sufficiency status rigorous lineage hydrodynamics quantum system
| 9
| 1,693,091
|
[
2,
4875,
1612,
2155,
5990,
406,
731,
186,
10243,
214,
352,
565,
2977,
5908,
470,
5305,
619,
731,
1577,
406,
214,
1276,
1854,
1078,
8002,
565,
529,
5327,
4234,
2783,
1070,
3906,
1653,
1998,
552,
1158,
1325,
1932,
470,
2514,
1144,
1119,
2072,
16100,
32,
1734,
1998,
470,
1347,
3426,
696,
3864,
11270,
278,
3512,
2563,
712,
3371,
1144,
2160,
3954,
1396,
4090,
3313,
2571,
16217,
1007,
476,
3512,
1082,
1027,
996,
72,
1726,
4131,
1229,
4058,
1612,
11856,
619,
937,
1746,
4862,
5223,
18385,
5973,
839,
2072,
16100,
32,
338,
3241,
4520,
5305,
214,
1854,
1078,
853,
19967,
869,
349,
2967,
13343,
317,
174,
150,
805,
7770,
152,
142,
3503,
18104,
4857,
3699,
18453,
5990,
406,
214,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
constitutive relation chiral hadronic fluid study role non abelian anomaly relativistic fluid end compute local functional solves anomaly equation obtain analytical expression covariant current bardeen zumino term particularize result background two flavor consider case unbroken broken chiral symmetry finally provide explicit result constitutive relation chiral nuclear matter interacting external electromagnetic field presence chiral imbalance emphasize non dissipative nature chiral electric effect
| 9
| 1,567,533
|
[
2,
9657,
893,
2687,
5741,
2130,
352,
1574,
278,
3361,
2595,
2662,
2130,
904,
1893,
619,
1653,
6121,
2595,
552,
575,
2428,
2165,
5938,
845,
16440,
16986,
612,
756,
462,
249,
1919,
312,
4154,
520,
516,
16412,
4956,
2687,
1078,
1157,
693,
1359,
249,
9657,
893,
2687,
2461,
1074,
2571,
2513,
3068,
381,
1591,
2687,
6146,
8493,
278,
4887,
2014,
2687,
2253,
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,
1,
1,
1,
1,
1
] |
final molecular social structure estimation cryo em density volume build molecular structural exemplar cryo electron microscopy cryo em density volume critical last step structure purpose cryo em engineering method acting evolved manual mental synthesis structural biologist perform translation rotation searching extremely compute intensive paper propose learning based method formulate problem vision inspired sleuthing air appraisal labor develop deep learning fabric amino group acid determination cryo em density volume also design sequence guided monte carlo tree hunt mcts thread candidate amino group acid form molecular structure framework achieve coverage newly propose dataset take minute distinctive structure amino acid method hundred time quicker various time accurate existing machine controlled solution without human treatment
| 5
| 1,007,750
|
[
2,
2811,
2013,
1794,
497,
1083,
13021,
323,
784,
2116,
2655,
2013,
2287,
12617,
13021,
1149,
4158,
13021,
323,
784,
2116,
1166,
2787,
1228,
497,
2676,
13021,
323,
3024,
210,
5136,
6914,
5078,
7896,
2994,
2287,
6101,
8131,
521,
347,
2610,
2575,
5559,
3611,
1893,
5313,
362,
537,
285,
250,
210,
3763,
304,
2750,
2928,
6233,
3171,
70,
3254,
19602,
4102,
578,
562,
285,
5791,
12556,
657,
8578,
4267,
13021,
323,
784,
2116,
364,
618,
1160,
4220,
2545,
2565,
1720,
19312,
15050,
7665,
2333,
12556,
657,
8578,
337,
2013,
497,
609,
1455,
3879,
4952,
537,
608,
1884,
6276,
8876,
497,
12556,
8578,
210,
5229,
290,
4189,
59,
1002,
290,
1677,
936,
825,
2988,
533,
973,
1047,
2506,
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
] |
peculiarity escape kinetics presence athermal noise stochastic evolution various dynamic system reaction network commonly described term noise assisted escape overdamped particle potential well devised paradigmatic langevin equation additive gaussian stochastic force reproduces effect thermal fluctuation reservoir implemented system close equilibrium approach correctly explains emergence boltzmann distribution ensemble trajectory generated langevin equation relates intensity noise strength mobility scenario generalized include effect non gaussian burst like forcing modeled levy noise case however pulsatile additive noise cannot treated internal thermal since relation strength friction variance noise violated heavy tail levy noise distribution facilitate escape kinetics importantly change escape protocol altering final stationary state non boltzmann non equilibrium form result contrary kinetics induced gaussian white noise escape rate environment levy noise determined barrier height instead barrier width discus consequence simultaneous action thermal levy noise statistic passage time population reactant double well potential
| 4
| 1,408,296
|
[
2,
14461,
6126,
7433,
1591,
19780,
1068,
1119,
1085,
1002,
565,
214,
2608,
256,
3147,
2422,
612,
1068,
4275,
6126,
15031,
836,
801,
529,
9559,
10676,
6439,
552,
3906,
1476,
1119,
2058,
7863,
610,
1609,
2160,
5288,
2775,
214,
2247,
1726,
338,
5356,
6731,
4090,
4814,
555,
2186,
2026,
1472,
6439,
552,
7533,
2947,
1068,
2126,
3733,
1296,
1582,
2373,
610,
278,
1476,
4150,
1079,
6083,
4115,
6459,
1068,
516,
627,
3759,
19357,
3906,
1068,
2343,
5512,
3060,
1609,
1784,
893,
2126,
5230,
2726,
1068,
9761,
2476,
2735,
6459,
1068,
555,
4215,
6126,
7433,
5106,
1173,
6126,
2237,
12301,
2811,
2794,
314,
278,
4814,
278,
1726,
337,
249,
6172,
7433,
1627,
1476,
3554,
1068,
6126,
687,
1028,
6459,
1068,
2526,
3834,
4650,
2464,
3834,
3191,
883,
2736,
2041,
1274,
1609,
6459,
1068,
2196,
6022,
290,
1719,
17682,
2377,
529,
801,
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
] |
scheduling opportunistic link two tiered reconfigurable datacenters reconfigurable optical topology emerging promising technology improve efficiency datacenter network paper considers problem scheduling opportunistic link reconfigurable datacenters study online setting aim minimize flow completion time problem two tier generalization classic switch scheduling problem present stable matching algorithm competitive optimal offline algorithm resource augmentation model online algorithm run time faster algorithm result fairly general allow different link delay also apply hybrid topology combine fixed reconfigurable link analysis based lp relaxation dual fitting
| 0
| 60,341
|
[
2,
4175,
14172,
1927,
312,
10402,
64,
7010,
15918,
11587,
32,
7010,
1195,
2376,
3675,
2312,
1958,
1354,
1370,
15918,
11587,
256,
362,
4708,
304,
4175,
14172,
1927,
7010,
15918,
11587,
32,
352,
1831,
1163,
1484,
4107,
928,
4240,
290,
304,
312,
10402,
1781,
5041,
4393,
4175,
304,
415,
1834,
2288,
349,
3323,
819,
4869,
349,
1655,
3637,
142,
1831,
349,
1769,
290,
2829,
349,
249,
8532,
421,
735,
467,
1927,
2439,
364,
1780,
2025,
2376,
2606,
1650,
7010,
1927,
494,
250,
6045,
2954,
1641,
3794,
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
] |
classifying ecosystem disservice comparing effect ecosystem service beijing china completely understand effect urban ecosystem effect ecosystem disservice consider along ecosystem service require inquiry attention study taste understand formation use cascade flowchart classification system compare issue ecosystem service vitally important differentiate final intermediate ecosystem disservice understand negative effect ecosystem human well proposed functional categorization male erecticle dysfunction explorer provisioning regulating cultural erectile dysfunction also help better bridging ed study addition used peking case study area value male erecticle dysfunction cause urban ecosystem liken finding value result indicate although erectile dysfunction caused great financial loss voltage economic gain ecosystem service still significantly outweigh loss study shed wakeful measure last effect urban ecosystem future consider ed evaluation least equally considered ecosystem valuation study create comprehensive sustainable evolution insurance land use proposal management plan
| 18
| 1,634,302
|
[
2,
5861,
7470,
4516,
363,
577,
3265,
610,
7470,
2384,
478,
9353,
70,
7934,
3473,
1121,
610,
4535,
7470,
610,
7470,
4516,
363,
577,
520,
1622,
7470,
2384,
2115,
16656,
1392,
352,
19376,
1121,
1564,
508,
5322,
928,
13805,
36,
920,
214,
1845,
1737,
7470,
2384,
6461,
97,
994,
10306,
2811,
3094,
7470,
4516,
363,
577,
1121,
2221,
610,
7470,
1047,
529,
459,
1653,
10823,
12058,
726,
3872,
80,
8314,
4135,
11245,
15982,
13721,
9497,
726,
107,
1153,
8314,
4135,
364,
1967,
1251,
9342,
1022,
352,
827,
522,
1516,
945,
516,
352,
1589,
730,
12058,
726,
3872,
80,
8314,
4135,
3001,
4535,
7470,
1079,
39,
1545,
730,
249,
2941,
2302,
726,
107,
1153,
8314,
4135,
3607,
1931,
4348,
1097,
3741,
4252,
2146,
7470,
2384,
1923,
1411,
581,
3026,
169,
1097,
352,
5066,
7014,
789,
949,
2787,
610,
4535,
7470,
1387,
520,
1022,
1448,
2100,
6969,
1657,
7470,
7342,
352,
3459,
3100,
9289,
1085,
9243,
2382,
508,
3765,
3352,
1358,
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
] |
threshold quantum advantage derivative pricing give upper bound imagination required valuable quantum advantage pricing derivative springiness first complete resource estimate useful quantum derivative pricing using autocallable target accrual redemption forward tarf derivative benchmark manipulation case uncover blocking challenge intimate approach present new method acting quantum derivative pricing parameterization method acting avoids method combine pre trained variational electric circuit fault large minded quantum computing dramatically decoct resource requisite witness benchmark use case examine require logical qubits depth jillion estimate quantum advantage would call program club second resource requirement given reach current system hope provide roadmap improvement algorithm implementation planned ironware computer architecture
| 15
| 1,120,483
|
[
2,
2413,
406,
2051,
2790,
5848,
1041,
2054,
451,
19745,
2089,
5318,
406,
2051,
5848,
2790,
8595,
4253,
499,
1878,
1655,
999,
2094,
406,
2790,
5848,
291,
7960,
236,
195,
1176,
316,
5587,
61,
14446,
10126,
63,
2699,
13727,
52,
2790,
1520,
3902,
516,
5583,
9157,
1136,
18937,
338,
415,
385,
210,
5136,
406,
2790,
5848,
6387,
210,
5136,
7106,
210,
2606,
519,
1318,
2332,
2253,
2453,
3931,
506,
7486,
64,
406,
1617,
6346,
409,
16845,
1655,
17894,
6810,
1520,
508,
516,
3307,
2115,
5615,
4266,
2220,
16426,
7270,
287,
999,
406,
2051,
2274,
1052,
1349,
19987,
937,
1655,
2404,
812,
2123,
845,
214,
6070,
693,
13362,
1760,
349,
1797,
9246,
6277,
1086,
2003,
1091,
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
] |
bear market recession versus bull market expansion paper examines dynamic interaction falling rising market real financial sector largest economy world using asymmetric causality test test require underlying variable model transformed partial sum positive negative component positive component represent rising market negative component embody falling market sample period cover part covid pandemic since data non normal volatility time varying bootstrap simulation leverage adjustment used order create reliable critical value causality test conducted result asymmetric causality test disclose bear market causing recession well bull market causing economic expansion causal effect bull market economic expansion higher compared causal effect bear market economic recession addition found economic expansion cause bull market recession cause bear market thus policy remedy falling financial market also help economy recession
| 18
| 1,565,396
|
[
2,
7393,
2766,
19285,
5407,
2320,
43,
2766,
2114,
362,
9989,
565,
719,
10713,
9954,
2766,
495,
4348,
3364,
4085,
7502,
1258,
291,
4086,
6951,
821,
821,
2115,
1924,
1089,
142,
6073,
2170,
1327,
1629,
2221,
1071,
1629,
1071,
570,
9954,
2766,
2221,
1071,
9384,
50,
10713,
2766,
832,
1278,
2192,
1229,
2222,
4149,
1784,
233,
278,
1572,
6085,
290,
2566,
5469,
679,
2906,
6884,
522,
452,
3459,
3338,
1166,
730,
6951,
821,
3341,
249,
4086,
6951,
821,
17768,
7393,
2766,
7809,
19285,
529,
2320,
43,
2766,
7809,
4252,
2114,
2812,
610,
2320,
43,
2766,
4252,
2114,
1084,
985,
2812,
610,
7393,
2766,
4252,
19285,
827,
1088,
4252,
2114,
3001,
2320,
43,
2766,
19285,
3001,
7393,
2766,
1214,
1289,
10032,
10713,
4348,
2766,
364,
1967,
7502,
19285,
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
] |
tensor force essence shell anatomical structure evolution isotones isotope relativistic hartree fock theory evolution energy difference neutron state isotones proton nation isotope enquire within framework relativistic hartree fock theory habituate density dependent effective interaction pka pko distinguish contribution tensor force naturally induced via fock term find tensor military unit play crucial role phylogeny shell structure military strength tensor power also explored found moderately increase twin strength pion nucleon coupling ie importantly improve verbal description scale structure evolution particular reducing density dependance shown preferable equivalence enlarging factor consistence idea tensor renormalization persistency allow worthful guidance development nuclear energy denseness usable relativistic framework
| 14
| 952,277
|
[
2,
1540,
2058,
10590,
3583,
9063,
497,
1085,
3160,
6290,
7456,
2662,
9002,
6482,
476,
1085,
470,
1608,
2185,
314,
3160,
6290,
2915,
12415,
7456,
145,
136,
2848,
992,
609,
2662,
9002,
6482,
476,
8842,
9000,
784,
1521,
1013,
719,
16314,
42,
16314,
35,
3152,
1688,
1540,
2058,
3241,
1627,
864,
6482,
612,
696,
1540,
15441,
1436,
1973,
2620,
1574,
9681,
15595,
3583,
497,
15441,
2126,
1540,
716,
364,
3891,
1088,
9806,
1376,
6465,
2126,
4722,
4376,
1183,
1273,
5106,
1354,
14454,
2045,
680,
497,
1085,
756,
3390,
784,
626,
189,
1186,
13645,
3314,
19471,
955,
911,
162,
2399,
1540,
4349,
3571,
479,
735,
9460,
789,
5989,
1642,
2461,
470,
2637,
691,
12347,
2662,
609,
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
] |
laplace eigenfunctions riemannian symmetric space borel weil theorem indicate geometric relation laplace beltrami spectrum eigenfunctions compact riemannian symmetric space borel weil theory using idea symplectic geometry geometric quantization done associating compact riemannian symmetric space via marsden weinstein reduction generalized flag manifold cover space parametrizing maximal totally geodesic torus process notice direct relation satake diagram symmetric space painted dynkin diagram associated flag manifold consider detail example classical simply connected space rank one space suso second part paper provide construction harmonic polynomial inducing laplace beltrami eigenfunctions symmetric space holomorphic section associated line bundle generalized flag manifold show example consider construction provides eigenfunctions
| 9
| 1,569,066
|
[
2,
5610,
6870,
4071,
1879,
410,
7555,
10859,
1396,
2941,
1987,
893,
5610,
12741,
978,
6870,
1690,
4071,
1879,
410,
7555,
10859,
476,
291,
2399,
4237,
1583,
1987,
3399,
3870,
14649,
1690,
4071,
1879,
410,
864,
3439,
5342,
62,
17190,
1843,
1582,
6278,
1542,
2192,
410,
19747,
3321,
7166,
4193,
4122,
455,
8345,
1108,
893,
2275,
2694,
2543,
1879,
410,
18807,
64,
14574,
2543,
1187,
6278,
1542,
520,
1639,
848,
1070,
4598,
2137,
410,
1850,
401,
410,
3894,
35,
937,
1229,
362,
693,
1793,
2865,
1372,
7835,
5610,
12741,
6870,
1879,
410,
5331,
2524,
1187,
1175,
3465,
1582,
6278,
1542,
223,
848,
520,
1793,
1220,
6870,
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
] |
maximal characterisation local hardy space locally doubling manifold prove radial maximal function characterisation local atomic hardy space hm riemannian manifold positive injectivity radius ricci curvature bounded consequence show integrable function belongs hm either local heat maximal function local poisson maximal function integrable key ingredient decomposition holder cut offs term appropriate class approximation identity obtain arbitrary ahlfors regular metric measure space generalises previous result uchiyama
| 1
| 570,274
|
[
2,
3321,
7711,
619,
7915,
410,
2977,
9082,
1542,
900,
3303,
3321,
327,
7711,
619,
2671,
7915,
410,
8157,
4071,
1542,
1629,
16296,
2440,
5857,
2396,
2010,
2736,
223,
4067,
327,
7904,
8157,
1896,
619,
2551,
3321,
327,
619,
3243,
3321,
327,
4067,
1231,
5217,
2246,
7224,
3096,
7814,
612,
2955,
463,
1056,
3199,
575,
1891,
19796,
1101,
1093,
949,
410,
12691,
912,
249,
8337,
13041,
16567,
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
] |
feasibility study reaction pentaquark investigate theoretically invariant mass spectrum reaction scrutinize signal pentaquark exists emerge spectrum salient vantage chemical reaction clearly judge whether exists direct formation production without significant backcloth line reaction photoproduction make production show impulse individual measure spread process cover energy region initial kaon impulse research lab skeletal frame donation duple step process may potential possibility reach energy region higher kaon momentum get full decay width around predict magnitude summit corresponding around hundred momentum kaon beam around thus top likely seen
| 14
| 953,902
|
[
2,
4380,
352,
2608,
13030,
1190,
3470,
1406,
669,
978,
2608,
12104,
462,
901,
13030,
3030,
5703,
978,
7403,
2362,
13163,
38,
2531,
2608,
5383,
13925,
2252,
3030,
1108,
1564,
2155,
973,
779,
1057,
3708,
984,
1175,
2608,
12646,
1225,
2155,
223,
8959,
1570,
949,
2853,
455,
2192,
470,
977,
1352,
9982,
8959,
952,
981,
16346,
534,
7400,
75,
5278,
204,
1228,
455,
853,
801,
2851,
2123,
470,
977,
1084,
9982,
1772,
3195,
1616,
1552,
3191,
1926,
1480,
2227,
2520,
76,
1309,
1926,
5229,
1772,
9982,
1786,
1926,
1214,
653,
3258,
3214,
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
] |
phenomenology decay scalar leptoquark model past year hint lepton flavour universality lfu violation observed transition recently polarization fraction decay also measured belle collaboration motivated intriguing result revisit anomaly scalar leptoquark lq model two scalar lqs one singlet triplet introduced simultaneously consider five mediated decay focus lq effect distribution branching fraction lfu ratio various angular observables decay combined constraint available data perform scan lq coupling make prediction number observables found numerically differential branching fraction lfu ratio largely enhanced lq effect latter expected provide testable signature superkekb high luminosity lhc experiment
| 7
| 1,579,078
|
[
2,
7695,
1552,
1631,
13039,
142,
2965,
1821,
7971,
4607,
7521,
5214,
6849,
45,
4072,
1059,
908,
1305,
2425,
1654,
1552,
364,
2205,
10632,
4552,
2808,
6478,
249,
5926,
2595,
1631,
13039,
7074,
142,
312,
1631,
7074,
32,
401,
5715,
5233,
1847,
2581,
520,
3201,
5781,
1552,
1102,
7074,
610,
555,
5196,
1654,
6849,
45,
1467,
1002,
2669,
3622,
1552,
2500,
986,
1192,
233,
347,
4245,
7074,
1183,
1225,
839,
486,
3622,
1088,
3138,
1493,
5196,
1654,
6849,
45,
1467,
4373,
2646,
7074,
610,
2679,
1945,
693,
12976,
2971,
477,
526,
10104,
298,
3336,
3599,
427,
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
] |
volumetric occupancy mapping probabilistic depth completion robotic navigation robotic application key requirement safe efficient motion planning ability map obstacle free space unknown cluttered environment however commodity grade rgb camera commonly used sensing fail register valid depth value shiny glossy bright distant surface leading missing data map address issue propose framework leveraging probabilistic depth completion additional input spatial mapping introduce deep learning architecture providing uncertainty estimate depth completion rgb image pipeline exploit inferred missing depth value depth uncertainty complement raw depth image improve speed quality free space mapping evaluation synthetic data show approach map significantly correct free space relatively low error compared using raw data alone different indoor environment thereby producing complete map directly used robotic navigation task performance framework validated using real world data
| 0
| 95,215
|
[
2,
8230,
9314,
2256,
2568,
2220,
4240,
3388,
4310,
3388,
542,
1231,
2404,
4637,
790,
1367,
2839,
2182,
813,
4475,
965,
410,
2411,
13209,
1028,
627,
10826,
8923,
5339,
2980,
3147,
522,
2835,
2213,
9769,
1308,
2220,
730,
17620,
13685,
871,
7902,
50,
3595,
6359,
854,
2085,
3550,
233,
813,
1260,
1737,
537,
609,
3924,
2568,
2220,
4240,
1854,
983,
1325,
2256,
1077,
562,
285,
1091,
2494,
1451,
999,
2220,
4240,
5339,
488,
3531,
2208,
5198,
3550,
2220,
730,
2220,
1451,
2746,
4773,
2220,
488,
1354,
1691,
1320,
965,
410,
2256,
1448,
2338,
233,
223,
338,
813,
1411,
2510,
965,
410,
3125,
485,
857,
985,
291,
4773,
233,
5236,
467,
6480,
1028,
3719,
5022,
1878,
813,
1986,
522,
3388,
4310,
546,
473,
609,
4378,
291,
495,
1258,
233,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
estimation physiological motion using highly accelerated continuous mri patient motion well known degrading image quality medical imaging especially positron emission tomography pet susceptible motion due usually long scan time hybrid petmri magnetic resonance imaging simultaneously acquired dynamic mri data used correct motion usually mri model based motion correction approach applied pet data however approach may fail non predictable irregular motion propose novel approach continuous real time tracking motion using highly accelerated dynamic mri accurate motion estimation purpose turboflash sequence utilized single shot mode additional exploiting grappa acceleration sampling frequency one slice m m one volume coronal slice principal component analysis phase sensitive resorting slice performed restore temporal consistency volume motion estimated volume using hyper elastic registration approach validated help dynamic thorax phantom well eleven healthy volunteer phantom ground truth data demonstrates approach produce accurate motion estimation volunteer validation prof approach also valid different respiratory amplitude including highly irregular breathing approach could proved promising continuous pet motion correction
| 2
| 1,460,904
|
[
2,
1083,
8907,
1367,
291,
1752,
4368,
1335,
4346,
2708,
1367,
529,
886,
14932,
488,
1320,
2791,
1909,
2301,
6754,
1645,
4828,
6373,
6824,
1367,
824,
2755,
891,
4245,
290,
2025,
6373,
15710,
31,
826,
2292,
1909,
2581,
5687,
565,
4346,
233,
522,
2510,
1367,
2755,
4346,
142,
250,
1367,
2303,
338,
1261,
6373,
233,
627,
338,
853,
2213,
278,
12349,
5837,
1367,
537,
758,
338,
1335,
495,
290,
2680,
1367,
291,
1752,
4368,
565,
4346,
1677,
1367,
1083,
2676,
17912,
5873,
1952,
1160,
4583,
782,
3031,
1082,
1854,
3646,
281,
11083,
42,
3339,
1836,
1029,
401,
5719,
17,
17,
401,
2116,
6757,
5719,
3893,
1071,
494,
584,
2607,
13027,
5719,
2183,
11585,
1675,
3165,
2116,
1367,
2923,
2116,
291,
1123,
2933,
5644,
338,
4378,
1967,
565,
5073,
714,
8195,
529,
14234,
7396,
13996,
8195,
1636,
3992,
233,
3755,
338,
1990,
1677,
1367,
1083,
13996,
3596,
1777,
338,
364,
1308,
467,
8902,
2233,
995,
1752,
5837,
10700,
338,
1499,
3145,
2312,
1335,
6373,
1367,
2303,
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
] |
quantum non commutative toric geometry foundation paper introduce quantum toric variety non commutative generalization ordinary toric variety toroid graeco roman theory replace quantum toroid quantum toric geometry non commutative version classical theory generalizes non trivially theorem property toric geometry considering quantum toric variety non algebraic stack define category show equivalent category quantum fan produce quantum geometric invariant possibility qgit type construction quantum toric variety different classical toric variety quantum toric salmagundi admit modulus define modulus space prove distance orbifolds favorable case homotopy admit complex bodily structure
| 8
| 614,094
|
[
2,
406,
278,
5029,
6408,
1583,
4933,
362,
1077,
406,
6408,
1683,
278,
5029,
1781,
4269,
6408,
1683,
2047,
1336,
281,
13729,
11987,
476,
6956,
406,
2047,
1336,
406,
6408,
1583,
278,
5029,
1904,
1070,
476,
4520,
278,
12392,
1396,
559,
6408,
1583,
2462,
406,
6408,
1683,
278,
2424,
3380,
2560,
1798,
223,
2514,
1798,
406,
6001,
1990,
406,
1987,
1406,
2851,
19473,
76,
654,
1793,
406,
6408,
1683,
467,
1070,
6408,
1683,
406,
6408,
3652,
1208,
4399,
39,
176,
3255,
3549,
2560,
3549,
410,
900,
1193,
12787,
7477,
516,
4941,
3255,
586,
19371,
1141,
497,
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
] |
cohn leavitt path algebra bi separated graph purpose paper provide common framework studying various generalization leavitt algebra leavitt path algebra paper consists two part part define cohn leavitt path algebra new class graph additional structure called bi separated graph generalize construction leavitt path algebra various type graph define study category textbfbsg bi separated graph appropriate morphisms functor associate bi separated graph cohn leavitt path algebra continuous also characterize full subcategory textbfbsg whose object direct limit finite complete subobjects compute normal form algebra apply study algebraic theoretic property term bi separated graph theoretic property part ii specialize attention cohn leavitt path algebra special class bi separated graph called hypergraphs investigate non stable theory show lattice order ideal monoids algebra determined bi separated graph theoretic data using information study representation leavitt path algebra regular hypergraphs also find matrix criterion leavitt path algebra finite hypergraphs ibn property
| 1
| 545,662
|
[
2,
5409,
39,
19003,
1324,
877,
817,
4758,
471,
2676,
362,
693,
1277,
609,
3535,
1002,
1781,
19003,
877,
19003,
1324,
877,
362,
2834,
312,
1229,
1229,
2560,
5409,
39,
19003,
1324,
877,
385,
463,
471,
1854,
497,
1357,
817,
4758,
471,
3043,
1793,
19003,
1324,
877,
1002,
654,
471,
2560,
352,
1798,
9503,
2893,
47,
817,
4758,
471,
2955,
8865,
6220,
7577,
817,
4758,
471,
5409,
39,
19003,
1324,
877,
1335,
364,
2636,
1616,
13363,
9503,
2893,
47,
1857,
934,
1108,
625,
834,
1878,
389,
357,
456,
32,
1893,
1572,
337,
877,
1780,
352,
2424,
3423,
559,
612,
817,
4758,
471,
3423,
559,
1229,
1465,
14823,
1392,
5409,
39,
19003,
1324,
877,
1846,
463,
817,
4758,
471,
1357,
7942,
1190,
278,
1834,
476,
223,
1276,
452,
2653,
10490,
877,
2526,
817,
4758,
471,
3423,
233,
291,
545,
352,
748,
19003,
1324,
877,
1101,
7942,
364,
696,
766,
2437,
19003,
1324,
877,
834,
7942,
7762,
39,
559,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
unexampled direction axion search via scattering nuclear reactor neutrino experiment search pseudoscalar axion like particle alp typically rely decay beam dump conversion photon haloscopes helioscopes point young experimental centering alp investigation production via primakoff process compton like scattering electron nucleus conceive alp produced intense vasco da gamma ray magnetic flux available megawatt scale atomic reactor neutrino try primakoff like compton like channel broken threshold sensor close law proximity core visibility alp decay inverse primakoff compton scattering offer sensitiveness alp photon alp electron coupling find predisposition coupling ongoing miner neutrino experiment outstrip existing limit set laboratory experiment alp negatron coupling forecast existence best laboratory based constraint expectant portion sub mev alp mass reach
| 17
| 338,610
|
[
2,
4790,
10469,
1562,
3696,
1106,
864,
1661,
2461,
8324,
2018,
427,
1106,
10223,
3696,
1079,
836,
8268,
2593,
3139,
1552,
1786,
17604,
3917,
1658,
3211,
7179,
32,
8014,
13749,
32,
563,
4332,
982,
2231,
70,
8268,
3111,
2155,
864,
1783,
383,
2921,
455,
7552,
1079,
1661,
1149,
2993,
9713,
647,
8268,
2943,
7021,
15124,
4384,
3735,
3267,
1245,
826,
2136,
1192,
16830,
6974,
7140,
680,
2671,
8324,
2018,
5979,
1783,
383,
2921,
1079,
7552,
1079,
1062,
4956,
2413,
1972,
2247,
1746,
5363,
1915,
7918,
8268,
1552,
2218,
1783,
383,
2921,
7552,
1661,
2380,
2607,
691,
8268,
1658,
8268,
1149,
1183,
696,
5424,
6291,
1210,
1183,
6402,
8809,
2018,
427,
581,
222,
447,
936,
625,
376,
4902,
427,
8268,
1554,
18624,
1183,
4207,
1666,
1539,
4902,
250,
986,
2934,
150,
7071,
389,
4016,
8268,
669,
2123,
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
] |
overcharging higher curvature black hole examine problem surcharge extremal near extremal black yap solvent einstein gauss poke bonnet sombreness dimension generalizing result general relativity display case ecumenical theory relativity possible create naked uniqueness gazump extremal fatal hole einstein gauss bonnet gravity using charged test particle outcome suggest rigour cosmic censorship hypothesis transcends beyond oecumenical relativity well motivated higher curvature gravity
| 9
| 1,787,305
|
[
2,
887,
19518,
1084,
2396,
1161,
1196,
3307,
304,
507,
8149,
5542,
1027,
5542,
1161,
29,
240,
9304,
2982,
5259,
305,
526,
8084,
9324,
4573,
691,
443,
5870,
249,
421,
4260,
3926,
516,
1966,
1971,
14064,
61,
476,
4260,
1117,
3459,
13789,
4459,
2756,
49,
2841,
5542,
19272,
1196,
2982,
5259,
8084,
1870,
291,
3297,
821,
836,
2890,
1503,
2406,
371,
2689,
10528,
2765,
10879,
32,
2173,
18863,
33,
1971,
14064,
61,
4260,
529,
2808,
1084,
2396,
1870,
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
] |
weak weyls law compact metric measure space well known weyls law weyls asymptotic formula give approximation number eigenvalue counted multiplicity large interval laplace beltrami operator compact riemannian manifold paper prove kind weak version weyls law certain compact metric measure space equipped self adjoint non negative operator acting roughly speaking show certain poincare inequality hold controlled cardinality appropriate cover ball radius moreover opposite inequality hold heat kernel corresponds satisfies short time gaussian estimate known case called strongly local regular complete intrinsic metric dirichlet space poincare inequality hold iff corresponding heat kernel satisfies short time gaussian estimate thus space one obtains essentially equivalent cardinality cover
| 1
| 568,822
|
[
2,
1207,
3688,
32,
1746,
1690,
1093,
949,
410,
529,
886,
3688,
32,
1746,
3688,
32,
1342,
1729,
1041,
1056,
486,
2672,
19070,
4897,
506,
2743,
5610,
12741,
941,
1690,
4071,
1542,
362,
900,
3251,
1207,
1904,
3688,
32,
1746,
1452,
1690,
1093,
949,
410,
4859,
1081,
5049,
278,
2221,
941,
5136,
6266,
9964,
223,
1452,
5859,
2281,
2660,
2988,
7020,
2955,
2192,
3750,
2440,
1415,
5446,
2281,
2660,
2551,
1858,
4490,
4259,
1491,
290,
1476,
999,
886,
516,
1357,
2120,
619,
1101,
1878,
2996,
1093,
4615,
410,
5859,
2281,
2660,
16479,
1309,
2551,
1858,
4259,
1491,
290,
1476,
999,
1214,
410,
401,
7209,
4939,
2514,
7020,
2192,
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
] |
spatial stochastic sir model transmission network practical application covid epidemic china government around world follow preventive measure spreadhead coronavirus disease covid bailiwick study multivariate distinct clip markov model analyze multiplication covid across provincial area china approach enables evaluate effect mobility restriction policy spread disease use datum daily human mobility across region apply bayesian framework estimate proposed model issue show spread disease china predominately drive community transmittal within region lockdown policy introduced local government hold outspread pandemic document hubei epicenter early epidemic stage secondary epicenter beijing guangdong already get established late january disease spread connected region transmission epicenter substantially declined following foundation human mobility confinement across region
| 5
| 1,089,275
|
[
2,
1325,
1119,
7359,
142,
2264,
256,
2065,
542,
2222,
4450,
7934,
6904,
1926,
1258,
1316,
16530,
949,
2853,
3640,
7299,
2622,
2222,
5575,
3348,
54,
1722,
352,
3808,
2770,
7905,
2552,
142,
1849,
5649,
2222,
1496,
16856,
3395,
61,
1589,
7934,
338,
2296,
1802,
610,
3733,
4069,
1289,
2853,
2622,
508,
14366,
5410,
1047,
3733,
1496,
977,
1780,
1920,
609,
999,
459,
142,
1737,
223,
2853,
2622,
7934,
7507,
10762,
97,
4047,
2257,
3884,
3477,
43,
992,
977,
8471,
1289,
1847,
619,
6904,
2660,
581,
750,
1789,
4149,
2995,
4998,
38,
31,
14561,
11587,
2467,
4450,
2031,
4785,
14561,
11587,
478,
9353,
70,
1076,
453,
15933,
12901,
3720,
3195,
2668,
4482,
11362,
2622,
2853,
2137,
977,
2264,
14561,
11587,
4389,
9666,
40,
2401,
4933,
1047,
3733,
5301,
1496,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
aggregation dynamic combat ready cell non adhesive substrate cellular self assembly governance fundamental step development biological tissue paper within theoretical account cellular automaton model speech ordered tissue pattern spontaneously emerge randomly migrate single cellular telephone population without influence external cue model based active motility cell power reorganize referable electric cell cellphone cohesivity celebrate experiment model successfully emulates formation nascent clustering also predicts temporal evolution aggregate lead thickset tissue paper structure moreover simulation also capture several dynamic property growing aggregate rate cell aggregation non flat outgrowth aggregate area show good agreement subsist observational observation investigate time evolution cohesive strong suit concentration aggregate also study ruggedness growing structure evaluating fractal dimension get insight complexness tumorous tissue paper growth hitherto unexplored
| 12
| 740,187
|
[
2,
4284,
565,
11337,
11023,
1395,
278,
16045,
4336,
4270,
1081,
5018,
13799,
1708,
1228,
1642,
3812,
4385,
362,
992,
1238,
1948,
4270,
4977,
142,
1767,
4046,
4385,
1412,
8300,
5703,
4645,
16650,
782,
4270,
8447,
8266,
243,
1719,
973,
2368,
2513,
6861,
142,
250,
1894,
11859,
1395,
716,
15712,
462,
3344,
195,
2253,
1395,
1395,
6409,
5409,
69,
12930,
8758,
103,
427,
142,
3334,
12969,
32,
1564,
17648,
2108,
364,
4560,
1675,
1085,
5157,
840,
3407,
3394,
4385,
362,
497,
1415,
679,
364,
2052,
876,
565,
559,
3672,
5157,
687,
1395,
4284,
278,
2546,
19991,
2355,
225,
5157,
1589,
223,
1860,
2626,
16065,
79,
3736,
972,
1190,
290,
1085,
14196,
788,
1887,
3280,
5157,
364,
352,
7308,
1080,
64,
691,
3672,
497,
4160,
6084,
443,
3195,
2251,
586,
691,
5052,
211,
4385,
362,
2084,
12235,
8103,
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
] |
baryon mesotron political machine learning perspective quantum chromodynamics qcd theory hard fundamental interaction primal molecule qcd quark gluon carry colour charge anatomy colourless destined nation low vigor hadronic bouncing land primary pastime atomic number meson heavy particle knowledge mesotron spectrum use neural mesh gaussian strong arm process predict hoi polloi baryon accuracy severally resolution compare favorably constituent quark mannequin considerably predict mass pentaquarks alien hadron
| 19
| 484,782
|
[
2,
3941,
2198,
16317,
7241,
825,
285,
2452,
406,
11736,
3072,
476,
1361,
1708,
719,
7214,
2570,
3072,
2269,
4679,
3771,
5216,
1682,
11551,
5216,
2112,
7692,
64,
12415,
485,
15486,
65,
5741,
12891,
2382,
3463,
2965,
247,
2671,
486,
4073,
2476,
836,
1179,
2198,
16317,
978,
508,
549,
3453,
1476,
788,
3528,
455,
1480,
4738,
31,
7384,
5382,
3941,
865,
876,
97,
1378,
1845,
10078,
6725,
2269,
17875,
1709,
60,
5996,
1480,
669,
13030,
32,
8440,
62,
3167,
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
] |
topological pairing janus monolayer tasse janus monolayer transition metal dichalcogenidestmds mxymmow etc xysse etc synthesized recently rashba spin splitting arises owing breaking plane mirror symmetryhref rev study pairing symmetry superconducting janus monolayer tasse solving linearized gap equation critical temperature find strong rashba effect tasse could produce topological superconducting state differs parent monolayer ta tase specifically chemical potential ev obtain time reversal invariant sfp wave mixed pairing state pairing state full gap topologically nontrivial ie however time reversal broken dpf pairing belonging dimensional irreducible representation appears lower chemical potential host large chern number appropriate pairing strength result suggest monolayer tasse candidate helical chiral topological superconductor
| 4
| 1,491,520
|
[
2,
1178,
4759,
13763,
4678,
16518,
254,
13763,
4678,
908,
2431,
10154,
17574,
4091,
13439,
1921,
102,
3818,
9882,
258,
38,
3818,
6319,
1305,
9992,
740,
3586,
4530,
6340,
3116,
1954,
4327,
1078,
9394,
3921,
2872,
352,
4759,
1078,
3070,
13763,
4678,
16518,
254,
2178,
6462,
1571,
552,
1166,
906,
696,
788,
9992,
610,
16518,
254,
1499,
1990,
1178,
3070,
314,
7469,
7118,
4678,
5087,
14070,
1855,
2531,
801,
270,
575,
290,
5224,
1406,
4890,
44,
713,
2519,
4759,
314,
4759,
314,
1616,
1571,
5885,
4780,
1273,
627,
290,
5224,
4956,
4960,
52,
4759,
7876,
673,
4731,
748,
4181,
1262,
2531,
801,
3144,
506,
4559,
486,
2955,
4759,
2126,
249,
1503,
4678,
16518,
254,
2333,
7756,
2687,
1178,
3650,
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
] |
chemical equilibration weakly coupled qcd subject field thermalization hydrodynamization chemical substance equilibration equilibrium quark gluon plasma bulge various initial term using qcd efficacious kinetic theory valid weak union non expanding system gauge boson apace lose information initial state achieve kinetic equilibrium among fermion approach equilibrium statistical distribution later clock time system undergo speedy longitudinal expansion gluon quark cheese kept away equilibrium expansion evolution well name fluid dynamical even local thermal equilibrium reached realistic sexual union determine ordering separate hydrodynamization chemical equilibration thermalization time scale
| 14
| 937,964
|
[
2,
2531,
12188,
3313,
1828,
3072,
2315,
381,
7618,
2072,
7597,
12799,
280,
2531,
13687,
12188,
1726,
2269,
4679,
2574,
8178,
1002,
1352,
612,
291,
3072,
4734,
84,
3246,
2868,
476,
1308,
1207,
6315,
278,
5794,
214,
2036,
2986,
146,
228,
11368,
545,
1352,
314,
1455,
2868,
1726,
1509,
2306,
338,
1726,
1558,
555,
4235,
5385,
290,
214,
5849,
1691,
50,
4627,
2114,
4679,
2269,
6672,
3953,
10224,
4766,
1726,
2114,
1085,
529,
6044,
2130,
1602,
1040,
619,
1609,
1726,
6366,
2640,
17582,
6315,
1988,
4485,
3948,
2072,
7597,
12799,
280,
2531,
12188,
7618,
290,
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,
1,
1,
1,
1,
1,
1,
1
] |
relativistic hybrid star sequential first order phase transition heavy baryon envelope compute mass radius tidal deformability star containing phase transition hadronic quark phase amount computed three type hadronic envelope purely nuclear hyperonic resonance hyperon admixed thing consider either single first order phase transition quark phase maximally stiff equation state eos two sequential first order phase transition mimicking transition hadronic quark affair phase followed nd phase transition another quark phase explore parameter space produce low spirited mass twin triplet shape equal volume wiz considerably different radius tidal deformabilities demonstrate purely hadronic stiff eos obtain maximal mass inconsistent upper limit quantity set gw inclusion hyperonic resonance degree freedom well deconfinement phase transition sufficiently small denseness produce configuration star consistent limit obtained hybrid star configuration mass range relevant interpretation gw event compare final result tidal deformability limit inferred gw showing onset non nucleonic phase resonance hyperon admixed phase andor quark phase favored data nuclear eos stiff also demo modest mass gemini especially triplet proliferate number combining possible eccentric star undergo merger event maximal number six suit triplet prospect uncovering first order phase modulation quark subject via measurement tidal deformabilities merger event discussed
| 14
| 947,940
|
[
2,
2662,
2025,
706,
3188,
499,
452,
584,
908,
2476,
3941,
5061,
1893,
669,
2440,
4968,
11829,
706,
3438,
584,
908,
5741,
2269,
584,
2224,
2852,
776,
654,
5741,
5061,
4641,
2461,
11212,
72,
2292,
11212,
4756,
14192,
4781,
520,
1896,
782,
499,
452,
584,
908,
2269,
584,
7171,
5997,
552,
314,
6931,
312,
3188,
499,
452,
584,
908,
10801,
908,
5741,
2269,
1383,
3904,
584,
4478,
5948,
584,
908,
2630,
2269,
584,
1989,
481,
410,
1990,
485,
9633,
64,
669,
6465,
5233,
1761,
2907,
2116,
7254,
49,
5996,
467,
2440,
4968,
4048,
14359,
717,
4641,
5741,
5997,
6931,
575,
3321,
669,
7785,
2054,
625,
2797,
376,
3413,
4652,
11212,
72,
2292,
1402,
3371,
529,
12980,
584,
908,
3566,
762,
2637,
691,
1990,
1932,
706,
1460,
625,
970,
2025,
706,
1932,
669,
889,
1980,
2800,
3413,
1170,
1845,
2811,
249,
4968,
11829,
625,
5198,
3413,
2705,
5588,
278,
4376,
72,
584,
2292,
11212,
4756,
14192,
584,
4182,
2269,
584,
10816,
233,
2461,
6931,
5997,
364,
13298,
8861,
669,
17546,
2301,
5233,
9214,
103,
486,
2855,
1117,
5823,
706,
5849,
3387,
1170,
3321,
486,
3621,
1887,
5233,
5988,
13006,
499,
452,
584,
3435,
2269,
2315,
864,
852,
4968,
4048,
14359,
3387,
1170,
2443,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
anisotropic impulse broadening glasma analytic imperfect field approximation fretwork simulation heavy ion collision transverse momentum broadening quantifies modification hard probe due interaction quark gluon blood plasma qgp calculate impulse widen glasma highly non isotropic predecessor stage qgp right collision show glasma leading anisotropic impulse broadening high energy partons accumulate momentum along ray axis transverse physical origin anisotropic broadening follow back difference shape chromo electric chromo magnetized flux density subway system glasma provide semi analytical result impulse broaden dilute glasma mathematical result real time wicket simulation non perturbative dense glasma
| 19
| 425,248
|
[
2,
3644,
8959,
8562,
15425,
2619,
42,
2354,
7032,
381,
1056,
805,
7770,
152,
679,
2476,
1710,
1881,
3415,
1772,
8562,
9575,
3397,
1361,
2634,
824,
719,
2269,
4679,
6589,
2574,
11354,
2967,
8959,
1762,
39,
15425,
2619,
42,
1752,
278,
4518,
16143,
2031,
11354,
3179,
1881,
223,
15425,
2619,
42,
2085,
3644,
8959,
8562,
298,
470,
15467,
12158,
1772,
1622,
1245,
3499,
3415,
1347,
2093,
3644,
8562,
1316,
1057,
1608,
1761,
4735,
35,
2253,
4735,
35,
7499,
2136,
784,
389,
1873,
214,
15425,
2619,
42,
693,
2057,
2428,
249,
8959,
16638,
9313,
15425,
2619,
42,
2657,
249,
495,
290,
14901,
77,
679,
278,
4011,
2637,
15425,
2619,
42,
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
] |
word ranking hirsch index identifying core hapaxes political text paper deal quantitative analysis content official political speech study set one thousand talk pronounced u president ranging washington trump particular search relevance rare word ie said speech called hapaxes implement rank size procedure zipf mandelbrot type discussing hapaxes frequency regularity overall set speech starting obtained rank size law define detect core hapaxes set mean procedure based hirsch index variant discus resulting list word light overall u president speech show core hapaxes well fitted zipf mandelbrot law contains element producing deviation low rank scatter plot fitted curve called king vice roy effect socio political insight derived obtained finding u president message
| 0
| 28,837
|
[
2,
1963,
4082,
14759,
4784,
1901,
3433,
1915,
19146,
714,
69,
7241,
1247,
362,
2951,
2847,
494,
2313,
11099,
7241,
1767,
352,
376,
401,
5422,
8900,
8516,
25,
863,
3785,
4274,
13990,
70,
1042,
186,
2841,
756,
1106,
4479,
4354,
1963,
1273,
7636,
1767,
1357,
19146,
714,
69,
1795,
1850,
918,
1898,
13621,
52,
15616,
2698,
148,
654,
8827,
19146,
714,
69,
1029,
3665,
2612,
376,
1767,
3776,
970,
1850,
918,
1746,
2560,
2106,
1915,
19146,
714,
69,
376,
823,
1898,
250,
14759,
4784,
1901,
2688,
883,
1748,
3488,
1963,
1003,
2612,
25,
863,
3785,
1767,
223,
1915,
19146,
714,
69,
529,
7418,
13621,
52,
15616,
2698,
148,
1746,
2927,
1241,
5022,
3279,
485,
1850,
1440,
6903,
7418,
1684,
1357,
12513,
9421,
17988,
610,
8384,
7241,
2251,
1712,
970,
1545,
25,
863,
3785,
3525,
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
] |
analysis prospective super symmetry inherent collision data tev cm collaboration using new two dimensional multifractal detrended fluctuation analysis method rectangular scale search susy hep enormous interest past decade continuous search acquit lhc regard susy prompt non prompt parity conserving offend generation decay limit obtained analysis detect signature susy particle revealed greater possibility experiment collider signature unremarkably derived assuming bit affirmative condition decaying process particle final state moreover susy might disguised state lower mass scale result challenging mass spectrum mixed mode decay proposed topsy turvydom based novel method multifractal detrended fluctuation analysisd mf dfa extended using rectangular scale experimental information surface reconstruct using component spacein xyz co ordinate taken momentum final state touch produced di muon take event two publicly available datasets used first data multijet primary pp collision data runb tev used analysis susy razor variable second data elemental dataset pp hit tev runa cm coaction mf behaviour particle production process studied term symmetry scaling inherent scale freeness multifractality analysis outcome susy data compared non susy data condition generalized hurst exponent medium frequency spectrum width significantly dissimilar scaling behaviour long range correlation observed last state signature di lepton product process first nd datasets conflict may indicate possible key signature susy may overlook conventional method analyse invariant masstransverse momentum spectrum
| 17
| 323,904
|
[
2,
494,
12514,
477,
1078,
3775,
1881,
233,
4210,
2090,
4552,
291,
385,
312,
673,
12326,
9714,
4748,
2160,
494,
210,
7855,
680,
1106,
10741,
12204,
8639,
1640,
2965,
3663,
1335,
1106,
2864,
76,
3599,
2475,
10741,
7195,
278,
7195,
4258,
9950,
1449,
273,
1356,
1552,
625,
970,
494,
2106,
2971,
10741,
836,
4246,
4064,
2851,
427,
4296,
2971,
8718,
1401,
1626,
1712,
3416,
2712,
12919,
587,
6581,
455,
836,
2811,
314,
1415,
10741,
3107,
19534,
879,
314,
1262,
669,
680,
249,
1759,
669,
978,
2519,
1082,
1552,
459,
653,
32,
50,
9245,
46,
5943,
85,
250,
758,
210,
12326,
9714,
4748,
2160,
494,
40,
6026,
19973,
1979,
291,
7855,
680,
982,
545,
854,
3538,
291,
1071,
410,
60,
9882,
49,
235,
3738,
10762,
3356,
1772,
2811,
314,
10034,
2943,
130,
4795,
1884,
1170,
312,
3871,
1192,
1037,
522,
499,
233,
329,
11051,
3463,
4320,
1881,
233,
1769,
51,
4210,
522,
494,
10741,
19786,
65,
1089,
937,
233,
10576,
608,
4320,
6889,
4210,
1769,
42,
2090,
235,
420,
6026,
2645,
836,
2155,
455,
1590,
612,
1078,
2147,
3775,
680,
12844,
12326,
104,
494,
2890,
10741,
233,
985,
278,
10741,
233,
587,
1582,
15468,
3360,
1865,
1029,
978,
3191,
1411,
9222,
2147,
2645,
891,
889,
1138,
1059,
2787,
314,
2971,
130,
4607,
1568,
455,
499,
5948,
1037,
6962,
853,
2941,
1117,
1231,
2971,
10741,
853,
9195,
2172,
210,
4742,
1406,
669,
12918,
916,
1772,
978,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
hierarchical stock judgment method improve management performance multi specie data point limited fishery management performance five alternative stock assessment method evaluated using set harvest level targeting multi specie maximum yield multi specie flatfish piscary including exclusive specie hierarchical multi specie model method pooled data across specie spatial stratum catch outcome method acting trio data scenario compared catch omniscient manager simulation lock modeling included technical interaction mintage designate produce choke effect often respect yield controlled multi metal money fishery hierarchical multi coinage theoretical account outperformed method data poor data moderate scenario surmount single specie model data rich scenario hierarchical model least sensitive prior precision sometimes better performance prior precision reduce choke core found positive negative effect sometimes leading underfishing non choke specie time preventing overfishing non choke specie foreground grandness including technical interaction multi specie assessment model direction accusative choke specie indicate mismatch management objective system dynamical recommend hierarchical multi specie model multi specie fishery management system
| 5
| 1,081,666
|
[
2,
2850,
5292,
10303,
210,
1354,
3352,
473,
329,
3527,
233,
563,
1676,
5783,
50,
3352,
473,
3201,
2262,
5292,
3468,
210,
2702,
291,
376,
14102,
712,
7992,
329,
3527,
1749,
1718,
329,
3527,
2546,
16758,
18880,
9124,
50,
995,
9156,
3527,
2850,
329,
3527,
142,
210,
15899,
233,
1496,
3527,
1325,
10995,
12806,
2890,
210,
5136,
1495,
35,
233,
1296,
985,
12806,
17316,
637,
2799,
10731,
679,
5441,
1490,
4707,
3915,
719,
591,
13163,
38,
618,
103,
1990,
1750,
526,
610,
1429,
1785,
1718,
2988,
329,
2431,
11816,
5783,
50,
2850,
329,
8495,
215,
1238,
1948,
8570,
210,
233,
3496,
233,
5465,
1296,
507,
11236,
10779,
782,
3527,
142,
233,
2659,
1296,
2850,
142,
2100,
2607,
1388,
2235,
6171,
1251,
473,
1388,
2235,
2068,
1750,
526,
1915,
1088,
1629,
2221,
610,
6171,
2085,
641,
16758,
70,
278,
1750,
526,
3527,
290,
9465,
887,
16758,
70,
278,
1750,
526,
3527,
7187,
7811,
691,
995,
3915,
719,
329,
3527,
3468,
142,
1562,
316,
183,
342,
1750,
526,
3527,
2941,
5976,
3352,
1715,
214,
1602,
2701,
2850,
329,
3527,
142,
329,
3527,
5783,
50,
3352,
214,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
einstein gauss hood graveness coupled bumblebee field four dimensional spacetime work einstein gauss cowl soberness coupled bumblebee field lead spontaneous lorentz symmetry breaking gravitational sector obtain exactly black hole solution cosmologic root iv dimensional spacetime regulation dodge bumblebee field affect location ignominious hole apparent horizon affect gravitative potential decrease black kettle fish huckster temperature black hole different schwarzschild black cakehole gravitational potential minimal black hole interior positive finite short distance
| 9
| 1,700,071
|
[
2,
2982,
5259,
4738,
89,
954,
1198,
1828,
1124,
53,
172,
18507,
381,
1249,
673,
3426,
431,
2982,
5259,
15728,
43,
5269,
799,
174,
1828,
1124,
53,
172,
18507,
381,
840,
4063,
4288,
1078,
3116,
1751,
3364,
575,
3625,
1161,
1196,
533,
1321,
12949,
3257,
5009,
673,
3426,
6382,
15097,
112,
1124,
53,
172,
18507,
381,
2898,
2309,
4740,
85,
15508,
183,
1196,
6179,
2486,
2898,
1535,
342,
801,
2957,
1161,
990,
7140,
80,
9551,
4283,
33,
7481,
115,
906,
1161,
1196,
467,
6597,
1161,
3517,
526,
6100,
1751,
801,
2169,
1161,
1196,
5014,
1629,
834,
1491,
1193,
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
] |
state enhanced radius differential cross section chetn reaction leading formation ground state mev mev mev state measure mev analysis data point carry within change diffraction model mdm distorted wave pay approximation dwba enhanced prevail ground mev mev state break ia spin parity bit increase radius exhibit property neutron proton halo state
| 16
| 815,021
|
[
2,
314,
2646,
2440,
1493,
1202,
2524,
6672,
36,
39,
2608,
2085,
1564,
1636,
314,
4016,
4016,
4016,
314,
949,
4016,
494,
233,
563,
3771,
992,
1173,
4892,
142,
3787,
53,
9170,
713,
4036,
1056,
8934,
5640,
2646,
18000,
1636,
4016,
4016,
314,
2061,
5790,
740,
4258,
2712,
1376,
2440,
1835,
559,
2185,
2915,
3211,
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
] |
collider constraint axion like speck current status hereafter prospect hunt axion like particle alp collider mostly focused cern lhc summarized constraint alp mass gev yoke photon comfortably higgs boson set lhc search new sonorousness di tri four photon net state inclusive exclusive diphotons proton proton lead lead collision pp pbpb well alien higgs boson decay pp pp analyzed exclusive search pbpb hit provide best exclusion point accumulation alp slew gev whereas channel competitive one gev tev integrated alp yield cross section nb excluded sureness point corresponding constraint axion photon couple tev broad people range factor improvement limit expected lhc approaching tev gev tev adjacent decade
| 16
| 876,128
|
[
2,
4296,
986,
3696,
1079,
539,
41,
845,
4857,
17706,
5988,
19312,
3696,
1079,
836,
8268,
4296,
4461,
3842,
10214,
3599,
10559,
986,
8268,
669,
3598,
29,
11593,
1658,
10592,
1626,
3130,
2986,
376,
3599,
1106,
385,
10666,
3003,
691,
130,
1495,
1249,
1658,
244,
314,
7436,
9156,
3126,
8266,
1042,
32,
2915,
2915,
840,
840,
1881,
4320,
13578,
529,
8440,
62,
3130,
2986,
1552,
4320,
4320,
3273,
9156,
1106,
13578,
6889,
693,
1539,
7769,
563,
7933,
8268,
6233,
54,
3598,
3589,
1062,
3323,
401,
3598,
4210,
2764,
8268,
1718,
1202,
2524,
7024,
9375,
9636,
691,
563,
1309,
986,
3696,
1658,
5552,
4210,
2159,
3421,
889,
955,
1760,
625,
1945,
3599,
8011,
4210,
3598,
4210,
6130,
3663,
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
] |
discretization darboux integrable system study discretization darboux integrable system discretization done using integral considered continuous system new example semitrailer distinct darboux integrable organisation prevail
| 12
| 740,012
|
[
2,
4041,
11887,
4067,
214,
352,
4041,
11887,
4067,
214,
4041,
3870,
291,
1964,
1657,
1335,
214,
385,
848,
2057,
4750,
540,
59,
2770,
11887,
4067,
12925,
18000,
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
] |
place excluding quantum information share quantum secret spacetime quantum data localized solicitation spacetime region excluded another collection region answer question defining analyzing localize exclude task quantum system must localized assemblage authorized region also excluded mark unauthorized region undertaking spacetime analogue quantum secret sharing authoritative unauthorized realm supervene upon authorized unauthorized band party analysis production first quantum secret sharing scheme arbitrary approach structure telephone number qubits required scale polynomially number authorized circle also study second related chore called state forum share quantum organisation requested set spacetime point full characterize condition localize exclude state assembly task attain give explicit protocol finally propose cryptologic application programme task call party independent transfer
| 13
| 1,288,201
|
[
2,
3249,
12599,
406,
545,
3968,
406,
6211,
3426,
406,
233,
3510,
531,
1061,
75,
3426,
977,
9375,
2630,
3027,
977,
2874,
1408,
4922,
3519,
9264,
11207,
546,
406,
214,
2618,
3510,
4176,
3542,
215,
2953,
422,
977,
364,
9375,
1280,
19185,
977,
10921,
9018,
3426,
4196,
406,
6211,
3851,
2953,
4976,
154,
19185,
10362,
15837,
670,
2761,
2953,
422,
19185,
1075,
4883,
494,
2155,
499,
406,
6211,
3851,
903,
1891,
338,
497,
8447,
8266,
243,
486,
4266,
2089,
680,
9974,
486,
2953,
422,
5279,
364,
352,
937,
1264,
17356,
1357,
314,
13516,
3968,
406,
12925,
14636,
376,
3426,
563,
1616,
2636,
587,
9264,
11207,
314,
5018,
546,
4584,
1041,
1359,
2237,
1157,
537,
14157,
8131,
72,
542,
11365,
546,
1052,
4883,
1312,
1293,
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
] |
comparative company parentage valuation fiscal metric company dolby company ripe overall fiscal operation health according tabular array accounted financial statement preceding tercet year dolby unchanging profit margin generates revenue billion company ten frame
| 15
| 1,101,883
|
[
2,
5776,
5971,
7118,
215,
7342,
14956,
4134,
1093,
5971,
14239,
2454,
5971,
9358,
38,
2612,
14956,
4134,
1837,
2499,
2605,
10005,
2455,
9842,
4348,
5516,
12692,
4526,
95,
36,
1821,
14239,
2454,
8909,
2725,
7559,
4494,
4013,
7899,
7329,
5971,
4265,
534,
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
] |
vasco da gamma irradiation emission alpha speck chemical reaction mg silicon fe cross division solid da gamma light beam emission line grow alpha particle answer atomic number systeme international iron measured ambit ealpha mev nerve centre proton therapy helmholtz zentrum berlin data dissimilar gamma shaft light headed rail line decide particular effort line hybridisation section compilationsevaluations astrophysical purpose data point live lower rocket energy data compared foretelling modern nuclear chemical reaction codification interbreeding section curve late evaluation gamma ray line emanation focal ratio particle fundamental fundamental interaction solar flair
| 16
| 877,634
|
[
2,
15124,
4384,
3735,
3267,
7556,
1645,
5357,
539,
41,
2531,
2608,
5591,
4347,
412,
1202,
6180,
2903,
3735,
3267,
1003,
1786,
1645,
1175,
1315,
5357,
836,
2874,
2671,
486,
214,
38,
6590,
6277,
2205,
5454,
36,
9774,
11690,
7352,
4016,
12547,
6137,
2915,
8434,
8413,
16772,
4750,
109,
5126,
3101,
233,
9222,
3267,
19128,
36,
1003,
4184,
64,
11493,
1175,
7238,
756,
2901,
1175,
2025,
2105,
2524,
10251,
16933,
711,
10903,
4318,
2676,
233,
563,
7006,
1262,
16145,
470,
233,
985,
5635,
1379,
7270,
70,
2939,
2461,
2531,
2608,
5716,
1442,
206,
4573,
9091,
2524,
1684,
4482,
1448,
3267,
1245,
1175,
15821,
75,
8339,
1467,
836,
1708,
1708,
719,
2131,
705,
3904,
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
] |
deep online learning stochastic constraint deep learning model considered state art many offline machine learning task however many technique developed suitable online learning task problem using deep learning model sequential data becomes even harder several loss function need considered simultaneously many real world application paper therefore propose novel online deep learning training procedure used regardless neural network architecture aiming deal multiple objective case demonstrate show effectiveness algorithm neyman pearson classification problem several benchmark datasets
| 6
| 1,403,210
|
[
2,
562,
1831,
285,
1119,
986,
562,
285,
142,
1657,
314,
930,
731,
4869,
825,
285,
546,
627,
731,
703,
1502,
2345,
1831,
285,
546,
304,
291,
562,
285,
142,
3188,
233,
2968,
1040,
9093,
876,
1097,
327,
1142,
1657,
2581,
731,
495,
1258,
542,
362,
1840,
537,
758,
1831,
562,
285,
660,
1898,
522,
6140,
549,
256,
1091,
6391,
2951,
849,
1715,
516,
717,
223,
2059,
349,
159,
17410,
11595,
920,
304,
876,
1520,
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
] |
portfolio liquidation passing toll impact theoretical root implementation nasdaq stock derive explicit solution deterministic market encroachment parameter graewe horst portfolio liquidation model model allows meld various frame grocery wallop wit instantaneous permanent temporary display solution two benchmark model almgren chris obizhaeva wang obtained particular case relate unlike form market impact microstructure limit rescript account book market show impact parameter calculate public market data investigate numerical operation deduce optimum trading strategy found high frequency limit order record book nasdaq stock represent range market impact visibility show strategy reach important cost saving liken benchmark model almgren chris obizhaeva wang
| 15
| 1,135,527
|
[
2,
5954,
2493,
75,
5544,
17391,
1485,
1238,
3257,
1797,
8832,
3937,
56,
5292,
1527,
1359,
533,
3022,
2766,
1050,
71,
221,
190,
481,
281,
1346,
38,
18253,
36,
5954,
2493,
75,
142,
142,
1191,
4793,
40,
1002,
534,
405,
11577,
50,
3129,
166,
6611,
6547,
9315,
14076,
3926,
533,
312,
1520,
142,
18446,
3300,
62,
161,
7401,
197,
135,
7352,
846,
42,
10028,
970,
756,
516,
5369,
3564,
337,
2766,
1485,
8603,
625,
7566,
8140,
1948,
6967,
2766,
223,
1485,
481,
2967,
2133,
2766,
233,
1190,
869,
1837,
6627,
5629,
6198,
1168,
1088,
298,
1029,
625,
452,
3355,
6967,
8832,
3937,
56,
5292,
570,
889,
2766,
1485,
7918,
223,
1168,
2123,
994,
1103,
6376,
1079,
39,
1520,
142,
18446,
3300,
62,
161,
7401,
197,
135,
7352,
846,
42,
10028,
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
] |
multi field dark energy cosmic acceleration exorbitant potential argue iniquity energy multiple field theoretically advantageously motivated predicts distinct experimental signature particular cosmic quickening take place along trajectory highly non geodesic field outer space example provide novel physic compared cdm quintessence allowing cosmic acceleration steep possible theoretic point horizon theory easily fulfill conjectured swamp constraint may certain case technically instinctive potency trouble endemic measure single field darkness energy observationally argue multi field model likely mostly indistinguishable concordance cosmology background story dark energy disturbance cluster lead enhanced ontogenesis large plate structure may testable early succeeding generation cosmological survey
| 11
| 217,597
|
[
2,
329,
381,
1397,
470,
2689,
3339,
16005,
19530,
13506,
801,
3475,
83,
31,
136,
104,
470,
849,
381,
3470,
10493,
97,
2808,
4560,
2770,
982,
2971,
756,
2689,
4189,
2604,
1884,
3249,
1622,
2026,
1752,
278,
4193,
381,
4416,
410,
848,
693,
758,
1422,
985,
5982,
11724,
2936,
2689,
3339,
7796,
1117,
3423,
563,
2486,
476,
3112,
8019,
6446,
1610,
8349,
986,
853,
1452,
516,
13020,
892,
12307,
647,
707,
479,
19753,
80,
17658,
949,
782,
381,
1397,
691,
470,
13534,
3475,
329,
381,
142,
3258,
4461,
9740,
12325,
4177,
1919,
7310,
1397,
470,
5302,
878,
840,
2646,
4116,
2614,
1456,
506,
4655,
497,
853,
12976,
2467,
9151,
70,
1356,
2485,
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
] |
theory auction sale search bad marketplace tatonnement process high frequency order driven market modeled search buyer seller vice versa propose total order book modeling comprising limit order latent rule order absence market maker cypher intelligence approach shot federal agent employed expend dissemination drift reaction theoretical account explain trading continuous auction damage volume search levy brownian transaction cost principal dissemination mechanism behavioural dynamic modeling inspired foraging chemotaxis robotic search analytic asymptotic analytic thinking provided several scenario example numerical simulation model extends understanding relative execution brownian superdiffusive ballistic search model
| 15
| 1,143,937
|
[
2,
476,
7619,
11796,
1106,
7519,
13909,
5087,
1042,
243,
190,
455,
298,
1029,
452,
1457,
2766,
4115,
1106,
11295,
11705,
9421,
9599,
537,
1876,
452,
6967,
1490,
7395,
625,
452,
2254,
2046,
452,
3864,
2766,
7016,
1254,
6203,
3457,
338,
3031,
17246,
1145,
3231,
15382,
13343,
4075,
2608,
1238,
1948,
1668,
6198,
1335,
7619,
5827,
2116,
1106,
6459,
4504,
5276,
1103,
3893,
13343,
1112,
11993,
565,
1490,
2928,
804,
1236,
14633,
3388,
1106,
2354,
1342,
2354,
11259,
2082,
876,
1296,
848,
869,
679,
142,
4020,
1543,
1946,
4021,
4504,
17037,
4256,
8668,
1106,
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
] |
mechanization hemocompatibility analysis using image segmentation random forest hemocompatibility blood contacting aesculapian device remains matchless major challenge biomedical engineering make research field raw improved material inevitable however current vitro test analysis method acting still lacking standardization comparability impedes advance material design example optic platelet analysis material vitro hemocompatibility test hold manually semi manually research group severally step towards standardization paper proposes automation approach optical thrombocyte count analytic thinking end fluorescence image section using zachs convexification multiphase phase piecewise constant mumford shah model resulting connected component non screen background section need classified platelet thrombocyte consequently supervised random forest applied feature vector derived component using feature like area perimeter circularity overall gamey accuracy low error rate random forest achieves reliable result fend high area receiver operator prevision recall curve severally developed newfangled method fast user self governing reproducible analytic thinking material hemocompatibility test therefore alone powerful shaft advance biomaterial research
| 5
| 1,064,670
|
[
2,
818,
280,
6699,
10456,
10126,
289,
1674,
494,
291,
488,
1721,
753,
4454,
6699,
10456,
10126,
289,
1674,
6589,
2598,
70,
9609,
15338,
240,
599,
1201,
2685,
2780,
2112,
1824,
1136,
6516,
3024,
1225,
952,
381,
4773,
2023,
1222,
10699,
627,
845,
13023,
821,
494,
210,
5136,
1923,
7712,
13500,
582,
367,
18258,
2722,
1222,
618,
848,
4319,
4655,
2704,
494,
1222,
13023,
6699,
10456,
10126,
289,
1674,
821,
2660,
5652,
2057,
5652,
952,
657,
876,
97,
1228,
1766,
13500,
362,
3259,
6942,
338,
1195,
15263,
53,
2697,
12585,
1379,
2527,
2354,
11259,
904,
7079,
488,
2524,
291,
30,
221,
32,
1593,
1442,
11011,
584,
5760,
1269,
13268,
8167,
37,
142,
1748,
2137,
1071,
278,
8964,
1919,
2524,
1142,
5710,
4655,
2704,
15263,
53,
2697,
12585,
1379,
4466,
1812,
753,
4454,
1261,
571,
1134,
1712,
1071,
291,
571,
1079,
1589,
11431,
3846,
104,
2612,
1756,
50,
865,
485,
857,
687,
753,
4454,
2144,
3338,
249,
16853,
40,
298,
1589,
4010,
941,
11217,
603,
5939,
1684,
876,
97,
1502,
385,
14551,
10940,
40,
210,
1180,
881,
1081,
6124,
9178,
2354,
11259,
1222,
6699,
10456,
10126,
289,
1674,
821,
1840,
5236,
3039,
19128,
36,
2722,
4209,
6404,
952,
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
] |
hydrodynamic model preference formation multi agent society report discus passage hydrodynamic equation energising model opinion formation considered kinetic mannequin feature view density depending additional microscopic variable identified personal preference variable describes opinion driven polarisation process leading finally choice among possible option happens eg referendum election like energising possibility rarefied gas etymologizing hydrodynamic par basically ground computation local equilibrium distribution view underlie kinetic model several numeric example validate resulting mannikin shedding faint important theatrical role played distinction sentiment predilection shaping choice unconscious process multi agent society
| 12
| 757,623
|
[
2,
3512,
142,
3896,
1564,
329,
1145,
6438,
1439,
883,
6022,
3512,
552,
16217,
1073,
142,
4906,
1564,
1657,
2868,
17875,
1709,
60,
571,
1541,
784,
3054,
1854,
4058,
1089,
2807,
3878,
3896,
1089,
3705,
4906,
1457,
9567,
455,
2085,
1157,
2273,
1509,
1117,
4322,
7950,
1454,
3344,
273,
109,
8385,
1079,
16217,
1073,
2851,
15554,
524,
1632,
1623,
953,
346,
1007,
3512,
165,
13967,
1636,
1189,
619,
1726,
555,
1541,
16355,
2868,
142,
876,
12380,
848,
3283,
1748,
17875,
3936,
60,
12764,
7927,
994,
311,
10599,
61,
1574,
7193,
9372,
4843,
5424,
1153,
306,
7297,
2273,
4120,
11121,
455,
329,
1145,
6438,
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
] |
pole skipping zero temperature study pole skipping phenomenon scalar retarded green function rotating btz black hole background static case pole skipping point typically located negative imaginary matsubara frequency appropriate value complex wave number dimensional cft one introduce temperature left moving right moving sector independently result pole skipping point depend left right temperature rotating background extreme limit pole skipping occur general special case pole skipping occur even extreme limit pole skipping point given right matsubara frequency
| 11
| 224,353
|
[
2,
5243,
15652,
1362,
906,
352,
5243,
15652,
1981,
1631,
14535,
4112,
327,
3964,
14479,
1161,
1196,
1919,
2715,
516,
5243,
15652,
563,
2593,
4710,
2221,
6392,
319,
10307,
11088,
1029,
2955,
730,
586,
713,
486,
673,
6265,
401,
1077,
906,
3698,
3354,
3179,
3354,
3364,
4414,
249,
5243,
15652,
563,
626,
3698,
3179,
906,
3964,
1919,
3203,
625,
5243,
15652,
1899,
421,
1846,
516,
5243,
15652,
1899,
1040,
3203,
625,
5243,
15652,
563,
812,
3179,
319,
10307,
11088,
1029,
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
] |
new spectroscopic investigation search magic number high excitement energy empirical drop terra firma state atomic polarizabilities indicate deflexion core giant dipole plangency whitethorn reveal comportment shell gist semi magic nucleus neutron magic bit like drop polarizability quasi continuum core group close magic act could reflect uphold influence shell closure nucleon separation energy finding open new boulevard investigating magic turn high excitation energy strongly patronise recent large ordered series shell model computation quasi continuum realm describe origin low push enhancement photon strength role induced paramagnetism nuclear structure dependence photon strength function assert generalized brink axel hypothesis universal beginning look
| 16
| 823,306
|
[
2,
385,
4447,
3111,
1106,
7589,
486,
298,
13898,
190,
470,
2124,
3574,
13750,
42,
6842,
42,
314,
2671,
1263,
19704,
2941,
8171,
387,
287,
1915,
4056,
3822,
1358,
2614,
12585,
3554,
225,
9980,
1605,
141,
274,
190,
3583,
11224,
79,
2057,
7589,
2993,
2185,
7589,
2712,
1079,
3574,
13565,
2119,
3269,
1915,
657,
2247,
7589,
1955,
1499,
4421,
862,
10096,
40,
2368,
3583,
5267,
4376,
2782,
470,
1545,
1090,
385,
17177,
80,
14939,
40,
5360,
7589,
2405,
298,
2418,
470,
2120,
725,
699,
491,
644,
506,
4046,
1461,
3583,
142,
1189,
2119,
3269,
10362,
1734,
2093,
485,
5456,
3066,
1658,
2126,
1574,
1627,
432,
11279,
2461,
497,
1991,
1658,
2126,
327,
11779,
1582,
18777,
1753,
73,
2765,
2363,
7877,
4146,
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
] |
comparability measured atmospherical muon pace monte carlo simulation sensitivity study sensing command prompt atmospheric muon kmnet kmnet coaction successfully deployed first detection social unit succeeding generation undersea neutrino telescope mediterranean sea two site italy france datum sample collected december january used step atmospheric muon charge per unit two different depth sea level km kmnet genus arca km kmnet killer whale atmospheric muon represent abundant signal neutrino scope used test reliability monte carlo pretending chain study physic extensive air shower induce highly energetic primary feather nucleus impinging earth atmosphere energy pev contribution prompt muon created right first interaction shower expected become dominant however macrocosm yet experimentation confirm talk data collected first detection whole kmnet compared monte carlo simulation based mupage corsika computer code main feature simulation reconstruction concatenation presented additionally first outcome simulated signal prompt muon component kmnet arca kmnet orca obtained corsika discussed
| 17
| 348,801
|
[
2,
582,
367,
2205,
4423,
61,
4795,
13952,
2545,
2565,
679,
2307,
352,
2835,
7715,
7195,
4423,
4795,
4111,
1005,
4111,
1005,
235,
420,
3334,
4727,
499,
791,
1794,
1436,
9151,
70,
1356,
12365,
38,
42,
2018,
3067,
1559,
115,
19474,
68,
7261,
312,
3032,
10914,
13908,
14366,
832,
3362,
12801,
11362,
522,
1228,
4423,
4795,
1682,
184,
1436,
312,
467,
2220,
7261,
712,
4111,
4111,
1005,
4899,
5137,
42,
4111,
4111,
1005,
15867,
59,
787,
2168,
4423,
4795,
570,
7767,
901,
2018,
6855,
522,
821,
4003,
2545,
2565,
4506,
4409,
1882,
352,
1422,
2095,
3254,
7587,
5048,
1752,
6105,
3463,
6694,
417,
2993,
17584,
3064,
4098,
470,
12279,
1688,
7195,
4795,
4153,
3179,
499,
719,
7587,
1945,
2387,
3986,
627,
3572,
16202,
53,
2334,
9341,
2353,
8900,
233,
3362,
499,
791,
3317,
4111,
1005,
985,
2545,
2565,
679,
250,
3612,
16073,
358,
94,
6214,
2003,
967,
925,
571,
679,
2017,
12202,
1588,
2964,
499,
2890,
2803,
901,
7195,
4795,
1071,
4111,
1005,
5137,
42,
4111,
1005,
266,
6702,
970,
358,
94,
6214,
2443,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
pca reduced gaussian mixture model application superresolution despite rapid development computational hardware treatment large high dimensional data set still challenging problem paper provides twofold contribution topic first propose gaussian mixture model conjunction reduction dimensionality data component model principal component analysis called pca gmm learn low dimensional parameter mixture model propose em algorithm whose step requires solution constrained optimization problem fortunately constrained problem depend usually large number sample solved efficiently inertial proximal alternating linearized minimization algorithm second apply pca gmm superresolution material image based approach sandeep jacob numerical result confirm moderate influence dimensionality reduction overall superresolution result
| 6
| 1,408,313
|
[
2,
6380,
2104,
1476,
2914,
142,
542,
477,
14152,
2601,
2522,
1642,
1259,
2813,
2506,
506,
298,
673,
233,
376,
1923,
1759,
304,
362,
1220,
11029,
1688,
2916,
499,
537,
1476,
2914,
142,
6954,
1843,
4130,
233,
1071,
142,
3893,
1071,
494,
1357,
6380,
11321,
234,
485,
673,
481,
2914,
142,
537,
323,
349,
1857,
1228,
2007,
533,
2421,
868,
304,
17617,
2421,
304,
626,
2755,
506,
486,
832,
3428,
2372,
5447,
6249,
4833,
6462,
3848,
349,
937,
1780,
6380,
11321,
477,
14152,
1222,
488,
250,
338,
7985,
1809,
44,
4303,
869,
249,
2353,
5465,
2368,
4130,
1843,
2612,
477,
14152,
249,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
extinction threshold spatial stochastic logistic model space homogeneous case consider extinction regime spatial stochastic logistic model aka bolker pacala dieckmann law model spatial population using first order perturbation beyond mean field equation space homogeneous case ie density non spatial covariance translation invariant show perturbation converges time tends infinity yield first order approximation stationary density next study critical mortality smallest constant death rate ensures extinction population function mean field scaling parameter find leading term asymptotic expansion critical mortality apparently different case
| 8
| 637,285
|
[
2,
6790,
2413,
1325,
1119,
5607,
142,
410,
3086,
516,
520,
6790,
1526,
1325,
1119,
5607,
142,
9979,
8716,
3860,
7092,
17012,
14300,
33,
17712,
528,
1746,
142,
1325,
1719,
291,
499,
452,
1723,
2173,
823,
381,
552,
410,
3086,
516,
1273,
784,
278,
1325,
3494,
2610,
1406,
223,
1723,
4249,
290,
5800,
4192,
1718,
499,
452,
1056,
2794,
784,
2432,
352,
1166,
7602,
6097,
1269,
5818,
687,
6499,
6790,
1719,
327,
823,
381,
2147,
481,
696,
2085,
612,
1342,
2114,
1166,
7602,
11253,
467,
516,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
response theory phase transition thermodynamic limit interact identical system rule study response perturbation thermodynamic limit network coupled identical agent undergoing stochastic evolution general line non equilibrium condition system nudged towards common centre mass derive kramers kronig relation sum rule linear susceptibleness obtained mean field force fokker planck equation propose correction relevant macroscopic case incorporates self uniform way effect mutual interaction system rule interaction creates memory burden able derive experimental condition set occurrence phase modulation specifically due system system interaction phase transition exist thermodynamic demarcation line associated divergence linear response accompanied divergence integrated autocorrelation time befittingly defined observable clarify endogenic phase modulation fundamentally unlike pathology linear response put context vital passage finally show result elucidate property desai zwanzig model bonilla casado morillo model feature film paradigmatic equilibrium non equilibrium stage transition respectively
| 12
| 702,340
|
[
2,
1601,
476,
584,
908,
2788,
625,
4636,
4838,
214,
2046,
352,
1601,
1723,
2788,
625,
256,
1828,
4838,
1145,
9625,
1119,
1085,
421,
1175,
278,
1726,
587,
214,
15749,
2586,
1766,
1277,
6137,
669,
1527,
12533,
10263,
105,
893,
1327,
2046,
617,
6824,
691,
970,
823,
381,
2058,
8680,
4100,
552,
537,
2303,
1980,
4749,
516,
5622,
1081,
1888,
1024,
610,
3959,
719,
214,
2046,
719,
7054,
1581,
7420,
1728,
1527,
982,
587,
376,
4970,
584,
3435,
1855,
824,
214,
214,
719,
584,
908,
991,
2788,
465,
14159,
75,
1175,
1187,
3448,
617,
1601,
6815,
3448,
2764,
9776,
290,
478,
17228,
97,
1613,
4131,
7346,
904,
6631,
584,
3435,
7444,
3564,
8148,
617,
1601,
4612,
1115,
6461,
6022,
1157,
223,
249,
8356,
559,
313,
4225,
12249,
14526,
105,
142,
5775,
7709,
6282,
15641,
10130,
7270,
35,
142,
571,
2869,
10676,
1726,
278,
1726,
2031,
908,
1853,
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
] |
lattice chronicle proton spin contribution summarized recent lattice qcd consensus quark helicity summation investigating gluon helicity orbital angulate momentum preliminary non perturbative normalized renormalized ji quark gluon angular momentum answer also reported compared previous loop perturbative renormalise result
| 14
| 980,304
|
[
2,
1276,
11694,
80,
2915,
740,
1688,
10559,
644,
1276,
3072,
4422,
2269,
7123,
8971,
5360,
4679,
7123,
2693,
1405,
1773,
1772,
5260,
278,
4011,
5067,
9383,
16426,
2269,
4679,
2669,
1772,
2874,
364,
2987,
985,
912,
1984,
4011,
3431,
491,
249,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
temper stable dispersion finite variation ornstein uhlenbeck process constructing levy push back ornstein uhlenbeck process task closely related notion ego decomposability picky transition jurisprudence linked property hereafter called empha reminder self analyzable stationary law present tense field study full characterize levy trine reminder provide oecumenical fabric deduce transition law finite variation ornstein uhlenbeck process associated tempered stable statistical distribution focus last subclass exponentially modulated tempered unchanging practice law derive algorithm exact generation frame ornstein uhlenbeck unconscious process related distribution advantage adopting subprogram computationally effective already available existing literature
| 15
| 1,184,102
|
[
2,
885,
1834,
3174,
834,
1929,
11586,
11162,
455,
4151,
6459,
5456,
1057,
11586,
11162,
455,
546,
4578,
1264,
2245,
10913,
6537,
367,
7669,
50,
908,
17573,
7401,
1968,
1150,
15843,
38,
5621,
559,
17706,
1357,
2525,
42,
9943,
179,
1081,
1133,
195,
2794,
1746,
415,
18062,
381,
352,
1616,
2636,
6459,
1495,
243,
9943,
179,
693,
18863,
33,
1971,
14064,
61,
5791,
6627,
908,
1746,
834,
1929,
11586,
11162,
455,
1187,
13144,
1834,
1558,
555,
1102,
2787,
8567,
4297,
6259,
13144,
8909,
2725,
2686,
1746,
1527,
349,
1487,
1356,
534,
11586,
11162,
4120,
11121,
455,
1264,
555,
2051,
6964,
10477,
13571,
359,
3180,
1013,
3720,
1192,
936,
1810,
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
] |
berezin toeplitz quantization least unsharpness principle show compatible almost complex structure symplectic manifold correspond optimal quantization
| 1
| 567,934
|
[
2,
14869,
8779,
3399,
2100,
5935,
6932,
12580,
174,
1779,
223,
4023,
2460,
586,
497,
4237,
1542,
932,
819,
3399,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
feigning based optimisation clock loan recovery across different portfolio novel procedure presented objective comparison evaluation cant decision convention optimising timing loan recovery process based finding delinquency threshold financial loss loanword portfolio segment therein minimised procedure expert system incorporates clock time value money price fundamental trade accumulating arrears versus forsaking future interest revenue moreover procedure used different willful neglect measure requital arrears thereby allow indirect comparability measure demonstrate system across kitchen stove credit entry risk exposure scenario portfolio opus computational result show threshold optimum exist across reasonable note value defrayal probability default peril loss rate loan collateral addition operation reacts positively portfolio afflicted either taxonomical default economic downturn occasional delinquency ie cycle curing defaulting optimising portfolio recuperation determination procedure better inform quantitative aspect bank collection insurance relying arbitrary discretion
| 15
| 1,186,877
|
[
2,
412,
248,
70,
250,
5909,
5385,
12845,
3513,
1496,
467,
5954,
758,
1898,
1588,
1715,
1848,
1448,
9461,
1510,
9608,
15343,
4815,
12845,
3513,
455,
250,
1545,
8175,
39,
544,
15843,
50,
2413,
4348,
1097,
12845,
4774,
5954,
3471,
13247,
15315,
40,
1898,
3245,
214,
5622,
5385,
290,
730,
11816,
3377,
1708,
2798,
17883,
245,
114,
3786,
5407,
804,
9632,
945,
1387,
1640,
7899,
1415,
1898,
522,
467,
10184,
789,
10840,
949,
1188,
3477,
43,
245,
114,
3786,
3719,
735,
5390,
582,
367,
949,
717,
214,
1496,
8607,
8596,
39,
9771,
98,
7812,
4782,
1965,
5063,
1296,
5954,
237,
183,
1259,
249,
223,
2413,
5629,
991,
1496,
5119,
3089,
730,
1159,
2261,
61,
1158,
8146,
1212,
43,
1097,
687,
12845,
636,
8293,
827,
1837,
6487,
32,
9182,
5954,
1383,
1394,
861,
1896,
19811,
6926,
61,
8146,
4252,
3071,
36,
1727,
11998,
61,
8175,
39,
544,
15843,
50,
1273,
2371,
14635,
12901,
8146,
70,
15343,
5954,
251,
15856,
75,
4267,
1898,
1251,
3189,
2847,
2346,
6907,
3027,
9243,
5298,
1891,
6356,
58,
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
] |
clock synchronization network identifiability sawtooth model paper analyze two node joint clock synchronization ranging problem focus case node employ time digital converter determine range precisely specific design choice lead sawtooth model captured signal studied estimation theoretic standpoint study model recover basic conclusion well known article freris graham kumar clock synchronization importantly discover surprising identifiability result sawtooth signal model noise improves theoretical condition estimation phase offset parameter complete study provide performance reference joint clock synchronization ranging using sawtooth signal model presenting exhaustive simulation study basic estimation strategy different realistic condition contribution paper enable research estimation sawtooth signal model pave path towards industrial use clock synchronization ranging
| 3
| 193,399
|
[
2,
5385,
4829,
256,
9530,
10623,
2682,
984,
142,
362,
1849,
312,
1418,
1776,
5385,
4829,
4274,
304,
1102,
516,
1418,
1550,
290,
3075,
8021,
1988,
889,
3800,
1255,
618,
2273,
840,
10623,
2682,
984,
142,
4632,
901,
1590,
1083,
3423,
14961,
352,
142,
1868,
2919,
3971,
529,
886,
2063,
805,
7401,
281,
9588,
14229,
66,
5385,
4829,
5106,
1806,
4110,
9530,
249,
10623,
2682,
984,
901,
142,
1068,
2587,
1238,
587,
1083,
584,
6563,
481,
1878,
352,
693,
473,
2796,
1776,
5385,
4829,
4274,
291,
10623,
2682,
984,
901,
142,
6897,
8786,
679,
352,
2919,
1083,
1168,
467,
2640,
587,
1688,
362,
2769,
952,
1083,
10623,
2682,
984,
901,
142,
6067,
1324,
1766,
4558,
508,
5385,
4829,
4274,
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
] |
momentum distribution uniform electron gas finite temperature effect spin polarization carry extensive direct path integral monte carlo pimc simulation uniform electron gas ueg finite temperature different value spin polarization allows u unambiguously quantify impact spin effect momentum distribution function related property find interesting physical effect like interaction induced increase occupation zero momentum state substantially depend result advance current understanding ueg fundamental model system practical relevance description transport property warm dense matter external magnetic field pimc result freely available online used benchmark development new method application
| 2
| 1,355,175
|
[
2,
1772,
555,
1888,
1149,
1632,
834,
906,
610,
740,
2425,
3771,
2095,
1108,
1324,
1964,
2545,
2565,
14279,
33,
679,
1888,
1149,
1632,
11914,
47,
834,
906,
467,
730,
740,
2425,
1191,
25,
11776,
3658,
1485,
740,
610,
1772,
555,
327,
1264,
559,
696,
2547,
1347,
610,
1079,
719,
1627,
1376,
8470,
1362,
1772,
314,
4389,
626,
249,
2722,
845,
1543,
11914,
47,
1708,
142,
214,
2065,
4479,
2045,
1538,
559,
5856,
2637,
1074,
2513,
826,
381,
14279,
33,
249,
7467,
1192,
1831,
522,
1520,
1642,
385,
210,
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
] |
inspired rising price model plate supergravity consider cosmological puffiness scenario based scale supergravity sector symmetry shown tree stage symmetrical superpotential alone conduct lento rolling scalar potential deformation tree level superpotential admit expressed symmetry breaking term beyond renomalizable level proposed resulting likely found interchangeable button one starobinsky inflation model emphasize successful inflation scalar spiritual index tensor scalar proportion correlation mass argument superpotential vacuum expectation note value modulus field kahler potential moldiness dramatize
| 7
| 1,747,121
|
[
2,
2928,
9954,
3377,
142,
4655,
7449,
520,
2485,
5601,
122,
4253,
1296,
250,
680,
7449,
3364,
1078,
1186,
1720,
2031,
15129,
14763,
5236,
2040,
16676,
2682,
11137,
1631,
801,
2795,
1720,
712,
14763,
3255,
4363,
1078,
3116,
612,
2173,
2207,
1867,
4241,
712,
459,
1748,
3258,
1088,
14252,
195,
13283,
1042,
401,
15602,
3109,
142,
8493,
2337,
3109,
1631,
9633,
399,
1901,
1540,
1631,
3592,
1138,
669,
3306,
14763,
2969,
3548,
3089,
730,
3549,
381,
5917,
801,
9363,
176,
691,
4733,
289,
3291,
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
] |
simplified optical shape sloshing speedmeter enhanced gravitational wave detector purpose raw optical configuration interferometric gravitational wave sensing element based speedmeter construct using sloshing cavity speedmeters provide inherently better quantum noise limited sensibility low frequency presently used michelson interferometer show practical sloshing cavity added comparatively existing dual recycled albert michelson interferometer advanced ligo
| 11
| 292,883
|
[
2,
4980,
1195,
1761,
12397,
1001,
70,
1691,
6549,
2646,
1751,
713,
1787,
2676,
4773,
1195,
1932,
8955,
1751,
713,
2835,
1241,
250,
1691,
6549,
1244,
291,
12397,
1001,
70,
3057,
1691,
6549,
32,
693,
6779,
1251,
406,
1068,
1676,
1443,
1674,
485,
1029,
12843,
522,
19136,
1128,
5920,
223,
2065,
12397,
1001,
70,
3057,
5071,
12030,
936,
1641,
12968,
768,
15297,
19136,
1128,
5920,
3753,
7278,
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
] |
analysis nonperturbative flavor violation chiral crossover criticality qcd discus trespass quark flavor symmetry high temperature induced nonperturbative thermal loop correction axial unusual person base three flavor linear sigma model including axial anomaly induced flavor breaking term employ nonperturbative analysis following cornwall jackiw tomboulis formalism show model undergoes chiral crossover pseudo critical temperature consistently lattice observation get hold next feature regarding flavor breaking eminent around pseudo critical temperature quark condensation drop faster strange quark toward criticality nonetheless proceed nonzero value even going far critical temperature ii introduce anomaly related flavor breaking effect deed catalyzer toward chiral restoration reduces amount flavor breaking unknown quark condensate iii dramatic deformation meson tone mixing structure observed anomaly induced favor breaking found almost irrelevant iv meson spectroscopy get corrected nett nonperturbative flavor breaking effect scalar mesotron mass hierarchy inverse great deal hierarchy significantly altered presence anomaly pertain flavor breaking topological susceptibility significantly get share surviving strange quark cheese condensate cannot dictated chiral perturbation hypothesis deviate dilute instanton gas prediction anomaly induced flavor breaking play function destructive interference net smell violation vi ua breaking enhanced strange quark condensate may report tension effect ua restoration maintain lattice two flavour flavor near chiral limit
| 14
| 933,055
|
[
2,
494,
10491,
4154,
4072,
2687,
6181,
7183,
3072,
883,
4148,
750,
261,
2269,
4154,
1078,
298,
906,
1627,
10491,
1609,
1984,
2303,
5850,
7202,
2588,
2533,
776,
4154,
617,
6131,
142,
995,
5850,
2595,
1627,
4154,
3116,
612,
1550,
10491,
494,
2401,
15733,
13304,
17218,
4080,
2697,
4950,
32,
3091,
223,
142,
8622,
2687,
6181,
3270,
1166,
906,
4408,
1276,
972,
3195,
2660,
2432,
571,
3880,
4154,
3116,
323,
17473,
1926,
3270,
1166,
906,
2269,
6657,
3574,
2829,
7208,
2269,
1477,
7183,
9194,
6327,
6041,
730,
1040,
6655,
2209,
1166,
906,
1465,
1077,
2595,
1264,
4154,
3116,
610,
5830,
40,
7704,
7803,
1477,
2687,
7408,
3275,
2224,
4154,
3116,
2411,
2269,
4496,
3509,
5192,
2795,
4073,
11179,
3153,
497,
1059,
2595,
1627,
4561,
3116,
1088,
2460,
8369,
5009,
4073,
2999,
3195,
6448,
244,
36,
10491,
4154,
3116,
610,
1631,
2198,
16317,
669,
3865,
2218,
1931,
2951,
3865,
1411,
10861,
1591,
2595,
10279,
4154,
3116,
1178,
5782,
1411,
3195,
3968,
16704,
7208,
2269,
6672,
3953,
4496,
2343,
14168,
2687,
1723,
2765,
8694,
9313,
9841,
1632,
839,
2595,
1627,
4154,
3116,
1973,
327,
10398,
3092,
244,
15008,
4072,
686,
19059,
3116,
2646,
7208,
2269,
4496,
853,
1439,
4404,
610,
19059,
7408,
2930,
1276,
312,
7521,
4154,
1027,
2687,
625,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
integrated quasi monte carlo method handling high dimensional problem discontinuity financial engineering quasi monte carlo qmc method useful numerical tool pricing hedging complex financial derivative problem usually high dimensionality discontinuity two factor may significantly deteriorate performance qmc method paper develops integrated method overcomes challenge high dimensionality discontinuity concurrently purpose smoothing method proposed remove discontinuity typical function arising financial engineering make smoothing method applicable general function new path generation method designed simulating path underlying asset resulting function required form new path generation method additional power reduce effective dimension target function proposed method caters large variety model specification including black scholes exponential normal inverse gaussian levy heston model numerical experiment dealing model show qmc setting proposed smoothing method combination new path generation method lead dramatic variance reduction pricing exotic option discontinuous payoff calculating option greek investigation effective dimension related characteristic explains significant enhancement combined procedure
| 6
| 1,511,896
|
[
2,
2764,
2119,
2545,
2565,
210,
5678,
298,
673,
304,
6878,
4348,
3024,
2119,
2545,
2565,
13678,
210,
2094,
869,
1242,
5848,
12234,
586,
4348,
2790,
304,
2755,
298,
4130,
6878,
312,
955,
853,
1411,
16999,
473,
13678,
210,
362,
6503,
2764,
210,
9956,
1136,
298,
4130,
6878,
11229,
2676,
5468,
210,
459,
5261,
6878,
2922,
327,
3659,
4348,
3024,
1225,
5468,
210,
3649,
421,
327,
385,
1324,
1356,
210,
2092,
5639,
1324,
1924,
5578,
1748,
327,
2089,
337,
385,
1324,
1356,
210,
1854,
716,
2068,
1013,
443,
1176,
327,
459,
210,
15325,
32,
506,
1683,
142,
4547,
995,
1161,
17395,
2488,
1572,
2218,
1476,
6459,
18980,
58,
142,
869,
427,
6313,
142,
223,
13678,
1163,
459,
5468,
210,
2033,
385,
1324,
1356,
210,
840,
5192,
2726,
1843,
5848,
5037,
4322,
5501,
7908,
5793,
4322,
19227,
3111,
1013,
443,
1264,
1548,
6731,
779,
3066,
2500,
1898,
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
] |
test drift diffusion model purport diffusion modelling ddm model sequential sampling dispersion brownian signal decisiveness maker accumulates evidence process remove stopping boundary stop chooses alternative corresponds boundary model widely used psychology neuroeconomics neuroscience explicate discovered pattern alternative answer time orbit binary choice decision problem paper provide statistical trial run ddms general boundary first show depiction theorem find condition choice chance satisfied choice chance generated ddm moreover establish drift boundary uniquely identified usance shape nonparametrically estimate drift boundary construct test statistic
| 18
| 1,613,567
|
[
2,
821,
4075,
1998,
142,
1739,
379,
1998,
3082,
19403,
142,
3188,
1836,
3174,
4504,
901,
14277,
691,
7016,
19972,
2188,
455,
5261,
6767,
1107,
4847,
11732,
2262,
4490,
1107,
142,
2342,
522,
11872,
4957,
10132,
32,
8766,
419,
5286,
4352,
1412,
2262,
2874,
290,
1430,
1446,
2273,
1510,
304,
362,
693,
1558,
4964,
1769,
19403,
32,
421,
1107,
499,
223,
13325,
287,
1396,
696,
587,
2273,
7255,
5838,
2273,
7255,
1472,
19403,
1415,
1227,
4075,
1107,
6491,
2807,
13880,
15843,
38,
1761,
5374,
200,
999,
4075,
1107,
1244,
821,
2196,
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
] |
single top quark production without higgs boson one way probe new physic beyond standard model check correlation among high dimension operator efficacious theatre operation theory examine strong correlational statistic process depend three operator correlation argue according information far current upper limit
| 17
| 315,549
|
[
2,
782,
653,
2269,
2155,
973,
3130,
2986,
401,
1024,
2634,
385,
1422,
2173,
974,
142,
3944,
1138,
1509,
298,
443,
941,
4734,
84,
3246,
311,
67,
114,
1837,
476,
3307,
788,
1138,
61,
2196,
455,
626,
776,
941,
1138,
3475,
2605,
545,
2209,
845,
2054,
625,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
reinforcement learning feedback modulated td stdp spiking neuron network used successfully solve simple reinforcement learning task continuous action set applying learning rule based spike timing dependent plasticity stdp however model cannot applied reinforcement learning task discrete action set since assume selected action deterministic function firing rate neuron continuous paper propose new stdp based learning rule spiking neuron network contains feedback modulation show stdp based learning rule used solve reinforcement learning task discrete action set speed similar standard reinforcement learning algorithm applied cartpole lunarlander task moreover demonstrate agent unable solve task feedback modulation omitted learning rule conclude feedback modulation allows better credit assignment unit contributing executed action td error participate learning
| 6
| 1,417,182
|
[
2,
1864,
285,
2349,
6259,
5460,
17059,
6671,
3945,
256,
522,
3334,
1925,
1004,
1864,
285,
546,
1335,
1274,
376,
2709,
285,
2046,
250,
5871,
4815,
1521,
8432,
17059,
627,
142,
2343,
1261,
1864,
285,
546,
1596,
1274,
376,
1784,
3780,
3304,
1274,
3022,
327,
12446,
687,
3945,
1335,
362,
537,
385,
17059,
250,
285,
2046,
6671,
3945,
256,
2927,
2349,
3435,
223,
17059,
250,
285,
2046,
522,
1925,
1864,
285,
546,
1596,
1274,
376,
1691,
960,
974,
1864,
285,
349,
1261,
5268,
15693,
10604,
15519,
546,
1415,
717,
1145,
8573,
1925,
546,
2349,
3435,
17850,
285,
2046,
3766,
2349,
3435,
1191,
1251,
7812,
4580,
1436,
9147,
9028,
1274,
5460,
857,
11853,
285,
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
] |
emergent stability complex network dynamical stable functionality networked organization hallmark natural ability coordinate multiple interacting component nonetheless strikingly literal world meshwork seem random highly irregular apparently miss intent constancy naturally emerging organizing principle complex system stability encoded within system stability matrix jacobian answer obscured scale diversity relevant organisation broad parameter blank nonlinear interaction mechanism make advance uncover emergent pattern anatomical structure jacobian rooted interplay network topology system intrinsical nonlinear dynamic pattern help analytically identify relevant control parameter determine system dynamic stability complex organisation find exhibit discrete stableness class asymptotically mentally ill constancy unattainable sensitive stability abides within bounded range system parameter crucially alongside two class uncover tertiary class asymptotically stable sufficiently large heterogeneous network acquires guaranteed stableness sovereign argument therefore insensitive external disruption hence deuce ubiquitous characteristic real world network scale heterogeneity emerge natural organizing principle ensure constancy face change environmental condition
| 12
| 770,040
|
[
2,
4875,
1557,
586,
256,
1602,
1834,
5200,
8291,
4770,
14109,
1398,
2182,
2972,
849,
2571,
1071,
9194,
13443,
18409,
1258,
3453,
192,
4156,
753,
1752,
5837,
11253,
10848,
6853,
19045,
3241,
3675,
11000,
1779,
586,
214,
1557,
5104,
992,
214,
1557,
766,
7696,
2874,
11693,
680,
3654,
1980,
12925,
2159,
481,
14794,
1144,
719,
1112,
1225,
2722,
5583,
4875,
1412,
9063,
497,
7696,
8576,
4305,
256,
2376,
214,
2996,
61,
1144,
565,
1412,
1967,
4147,
1678,
1980,
561,
481,
1988,
214,
565,
1557,
586,
12925,
696,
1835,
1596,
1834,
691,
463,
3482,
7896,
97,
3229,
19045,
12603,
7140,
177,
195,
2607,
1557,
598,
2870,
992,
2010,
889,
214,
481,
8403,
9481,
312,
463,
5583,
17830,
463,
3482,
1834,
3566,
506,
3020,
256,
13592,
5439,
1834,
691,
1294,
126,
38,
248,
3306,
1840,
8710,
2513,
7119,
2648,
139,
589,
5459,
1548,
495,
1258,
256,
680,
4989,
5703,
1398,
11000,
1779,
3943,
19045,
2385,
1173,
4405,
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,
1,
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.