text
stringlengths 33
3.74k
| category
int64 0
19
| __index_level_0__
int64 0
1.81M
| input_ids
list | attention_mask
list |
|---|---|---|---|---|
carving ope place precise framework critical advocator prepare new tool isolating cfts using numerical bootstrap cut surface algorithm scanning ope coefficient make possible find island high dimensional blank space together recent progress large musical scale semidefinite programming enables bootstrap study much larger system correlation office antecedently pragmatic apply method acting correlation function tutelage scalar good example computing new precise value scaling dimension ope coefficient theory new determination scaling dimension consistent better upon live monte carlo simulation sharpening exist decade old variance theory experiment
| 19
| 450,275
|
[
2,
884,
752,
12001,
3249,
3235,
609,
1166,
9606,
380,
10360,
385,
1242,
15908,
10708,
291,
869,
5469,
3096,
854,
349,
5263,
12001,
1624,
1225,
1117,
696,
7554,
298,
673,
14794,
410,
2556,
644,
3331,
506,
8482,
680,
7536,
2710,
2296,
5469,
352,
1804,
2076,
214,
1138,
12256,
3449,
5506,
2128,
14119,
1780,
210,
5136,
1138,
327,
13835,
16660,
112,
1631,
1860,
848,
1617,
385,
3235,
730,
2147,
443,
12001,
1624,
476,
385,
4267,
2147,
443,
1460,
1251,
2761,
7006,
2545,
2565,
679,
3216,
2604,
991,
3663,
5541,
2726,
476,
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
] |
dual decoder transformer joint automatic speech recognition multilingual speech translation introduce dual decoder transformer new model architecture jointly performs automatic speech recognition asr multilingual speech translation st model based original transformer architecture vaswani et al consist two decoder responsible one task asr st major contribution lie decoder interact one decoder attend different information source via dual attention mechanism propose two variant architecture corresponding two different level dependency decoder called parallel cross dual decoder transformer respectively extensive experiment must dataset show model outperform previously reported highest translation performance multilingual setting outperform well bilingual one one result furthermore parallel model demonstrate trade asr st compared vanilla multi task architecture code pre trained model available
| 0
| 43,493
|
[
2,
1641,
3602,
3052,
1776,
1816,
1767,
1745,
6468,
1767,
2610,
1077,
1641,
3602,
3052,
385,
142,
1091,
3697,
3717,
1816,
1767,
1745,
4811,
6468,
1767,
2610,
92,
142,
250,
2167,
3052,
1091,
15124,
17932,
31,
1623,
128,
911,
312,
3602,
4995,
401,
546,
4811,
92,
1824,
1688,
2098,
3602,
4636,
401,
3602,
11471,
467,
545,
829,
864,
1641,
1392,
1112,
537,
312,
2688,
1091,
1309,
312,
467,
712,
3486,
3602,
1357,
1912,
1202,
1641,
3602,
3052,
1853,
2095,
427,
2618,
608,
223,
142,
1494,
2240,
2987,
4507,
2610,
473,
6468,
1163,
1494,
529,
13162,
401,
401,
249,
1518,
1912,
142,
717,
2798,
4811,
92,
985,
9196,
329,
546,
1091,
967,
519,
1318,
142,
1192,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
automated fuzzing automotive control unit modern vehicle governed network electronic control unit ecus programmed sense input driver environment process input control actuator eg regulate engine even control steering system ecus within vehicle communicate via automotive bus system controller area network beyond vehicle boundary upcoming vehicle vehicle vehicle infrastructure channel approach manipulate communication ecus purpose security testing reverse engineering vehicular function presented past struggle automating detection system change response message injection paper present finding fuzzing network particular observing individual ecus sensor harness harness detects physical response use oracle function inform fuzzing process systematically define fuzzers fuzzing configuration oracle function testing ecus evaluate approach based case study commercial instrument cluster experimental framework authentication result show approach capable identifying interesting ecu state high level automation approach applicable distributed cyber physical system beyond automotive computing
| 3
| 119,277
|
[
2,
2935,
15067,
10368,
561,
1436,
2939,
2101,
5711,
256,
2162,
561,
1436,
1966,
183,
16254,
2912,
983,
4712,
1028,
455,
983,
561,
7738,
1454,
12425,
2055,
1040,
561,
8307,
214,
1966,
183,
992,
2101,
7667,
864,
10368,
4077,
214,
2854,
1589,
256,
2173,
2101,
1107,
7402,
2101,
2101,
2101,
4488,
1062,
338,
7889,
1313,
1966,
183,
2676,
2445,
2248,
6049,
3024,
8510,
327,
1588,
2965,
9953,
12230,
791,
214,
1173,
1601,
3525,
5300,
362,
415,
1545,
15067,
256,
756,
5143,
1570,
1966,
183,
1972,
8182,
8182,
8815,
1347,
1601,
508,
5413,
327,
3189,
15067,
455,
4489,
2560,
5177,
1421,
15067,
1932,
5413,
327,
2248,
1966,
183,
1802,
338,
250,
516,
352,
5638,
3309,
878,
982,
609,
7343,
249,
223,
338,
3194,
3433,
2547,
1966,
45,
314,
298,
712,
6942,
338,
3649,
1600,
4272,
1347,
214,
2173,
10368,
1617,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
pixelated dark energy study phenomenology recent string construction quantum mechanically stable dark get go mild supersymmetry protect emptiness energy also allows tev scale superpartner slew construction holographic sense spacetime generated pixel originate basketball team branes wrapped metastable five cycle compactification cosmological constant scale pixel number instability construction lead cosmic expansion besides cause five branes wind geometry leading slowly decreasing cosmological unceasing interpret epoch inflation followed pre warming rare event occurs number pixel increase order unmatchable fraction sudden appearance radiation trigger exponential increase number pixel disconsolate vitality time varying equating state compatible current bound could tighten future data point discharge pixelated nature universe implies large cutoff angular mogul spectrum cosmological observables likewise use pixel description study thermodynamics de sitter space finding rocky arrangement effective force field theory consideration
| 7
| 1,791,922
|
[
2,
3156,
180,
1397,
470,
352,
7695,
644,
2470,
1793,
406,
12175,
1834,
1397,
3195,
902,
5047,
7568,
7357,
1507,
16569,
470,
364,
1191,
4210,
680,
5220,
1908,
1162,
6233,
54,
1793,
4595,
2912,
3426,
1472,
3156,
9226,
14980,
7701,
4255,
8591,
15370,
7463,
3201,
2371,
7512,
2485,
1269,
680,
3156,
486,
2713,
1793,
840,
2689,
2114,
3923,
3001,
3201,
8591,
2242,
1583,
2085,
6881,
5246,
2485,
958,
5154,
70,
1441,
5144,
3109,
4478,
519,
15253,
4354,
1170,
3866,
486,
3156,
1376,
452,
7579,
2441,
195,
1654,
8498,
4441,
2463,
3837,
2488,
1376,
486,
3156,
3761,
339,
7086,
1379,
6461,
104,
290,
2566,
344,
413,
314,
4023,
845,
451,
1499,
3342,
62,
1387,
233,
563,
8882,
3156,
180,
2014,
2690,
3503,
506,
7072,
2669,
18018,
88,
978,
2485,
3622,
13459,
508,
3156,
2045,
352,
4862,
139,
5115,
410,
1545,
13202,
6096,
1013,
2058,
381,
476,
3828,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
geometric high temperature flow possibility lagrangian coherent structure consider lagrangian coherent structure lcss boundary material subset whose advective evolution metastable weak diffusion detection first metamorphose eulerian advection diffusion equating lagrangian coordinate take word form clip dependent diffusion heat equation co ordinate shift reversible effect advection separated irreversible joint essence advection dissemination theoretical account lcss express boundary metastable set lagrangian diffusion process case spatially homogeneous isotropic diffusion averaging time dependent family lagrangian dissemination operator yield froylands dynamic laplacian associate geometric heat equality distribution heat governed dynamically induced intrinsic geometry material manifold refer geometry mixing study visualize geometry detail discus connection geometrical lineament lcss viewed diffusion barrier two numerical example approach facilitates discovery connection prominent method acting coherent structure detection active isoperimetry methodology variational geometric approach elliptic lcss class graph laplacian based method effect diffusivity framework used physical oceanography
| 12
| 729,415
|
[
2,
1987,
298,
906,
928,
2851,
3515,
2609,
497,
520,
3515,
2609,
497,
15692,
32,
1107,
1222,
2553,
1857,
1020,
489,
1085,
7463,
1207,
1998,
791,
499,
6025,
1135,
859,
9328,
8151,
1998,
344,
413,
3515,
2972,
1884,
1963,
337,
7905,
1521,
1998,
2551,
552,
235,
3738,
10762,
2339,
6593,
610,
8151,
4758,
10447,
1776,
10590,
8151,
13343,
1238,
1948,
15692,
32,
5054,
1107,
7463,
376,
3515,
1998,
455,
516,
3689,
3086,
4518,
1998,
5271,
290,
1521,
1644,
3515,
13343,
941,
1718,
7739,
2591,
9883,
565,
4195,
7577,
1987,
2551,
6273,
555,
2551,
5711,
4213,
1627,
2996,
1583,
1222,
1542,
3344,
1583,
3153,
352,
8897,
1583,
1639,
883,
1960,
5341,
1175,
1391,
15692,
32,
5343,
1998,
3834,
312,
869,
848,
338,
6622,
2948,
1960,
5799,
210,
5136,
2609,
497,
791,
1894,
11240,
9468,
2530,
2332,
1987,
338,
3250,
15692,
32,
463,
471,
4195,
250,
210,
610,
9919,
609,
522,
1347,
6618,
2873,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
two photon blockade photon induced tunneling return squeezing divine recent experiment hamsen et aluminium phys rev lett demonstrated two photon block driven nonlinear organization composed harmonic cavity drive atom show deuce photon blockade nonstandard type photon blockade photon induce tunneling get impelled harmonic cavity without atom kind nonlinearity instead coupled nonlinear explorer squeezed source also simulate single photon effect squeezed coherent state displaced constrict thermal state
| 13
| 1,263,948
|
[
2,
312,
1658,
11992,
1658,
1627,
5134,
3970,
8941,
15154,
216,
644,
427,
1696,
8692,
1623,
9728,
2555,
723,
2872,
9472,
2327,
312,
1658,
1505,
1457,
1144,
4770,
4187,
2865,
3057,
4047,
1369,
223,
139,
589,
1658,
11992,
15027,
654,
1658,
11992,
1658,
5048,
5134,
3195,
927,
5167,
2865,
3057,
973,
1369,
3251,
5505,
2464,
1828,
1144,
11245,
8313,
829,
364,
4499,
782,
1658,
610,
8313,
2609,
314,
12408,
761,
2966,
1609,
314,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
quantized riemann hilbert problem donaldson thomas theory introduce riemann hilbert problem determined refined donaldson thomas theory involve piecewise holomorphic map complex plane group automorphisms quantum torus algebra study simplest case detail use barnes double gamma function construct solution
| 1
| 588,120
|
[
2,
4848,
4728,
3266,
304,
14103,
10298,
476,
1077,
4728,
3266,
304,
2526,
6020,
14103,
10298,
476,
4979,
5760,
5331,
813,
586,
1954,
657,
7845,
406,
4122,
877,
352,
6610,
516,
1639,
508,
2590,
9934,
2377,
3267,
327,
1244,
533,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
swirl method ideal flow exterior domain vortex method acting mutual numerical theoretical glide path used implement apparent motion ideal flow vorticity approximated sum level whirlpool euler equation read system ordinary differential equivalence method acting easily justified wide plane thanks explicit representation formula biot savart exterior domain also replace impermeable boundary compendium point vortex generate circulation around obstacle density point vortex chosen order flow remains tangent centre adjacent whirlpool full vorticity around obstacle keep work provide stringent justification method polish exterior domain one main mathematical difficultness biot savart kernel defines singular integral operator restricted curve boundary domain also introduce alternate method acting fluid charge method acting argue better conditioned thus lead significant numerical improvement
| 8
| 648,601
|
[
2,
17131,
43,
210,
2653,
928,
8104,
749,
3240,
210,
5136,
3959,
869,
1238,
871,
557,
1324,
522,
1795,
6179,
1367,
2653,
928,
7629,
5327,
1327,
712,
787,
151,
11690,
5842,
3742,
552,
3746,
214,
4269,
1493,
3314,
210,
5136,
3112,
10502,
1762,
1954,
5433,
1359,
748,
1729,
16733,
13301,
1908,
8104,
749,
364,
6956,
4635,
9811,
195,
1107,
2102,
39,
16759,
563,
3240,
1941,
8768,
1926,
4475,
784,
563,
3240,
3966,
452,
928,
2685,
6288,
6137,
6130,
787,
151,
11690,
5842,
1616,
7629,
1926,
4475,
4141,
431,
693,
7537,
9418,
210,
12112,
8104,
749,
401,
925,
2657,
1930,
691,
16733,
13301,
1908,
1858,
6752,
1911,
1964,
941,
3722,
1684,
1107,
749,
364,
1077,
9262,
210,
5136,
2130,
1682,
210,
5136,
3475,
1251,
5677,
1214,
840,
779,
869,
1760,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
switching device cognizant sequential distribution system restoration paper present optimization framework sequential reconfiguration using assortment switching device repair process distribution system restoration compared existing study paper considers type capability operational limit different switching device making applicable practice develop novel multi phase method find optimal sequential operation various switching device repair faulted area consider circuit breaker reclosers sectionalizers load breaker switch fuse switching operation problem decomposed two mixed integer linear programming milp subproblems first subproblem determines optimal network topology estimate number step reach topology second subproblem generates sequence switching operation coordinate switch repairing fault design milp model dispatch repair crew clear fault replace melted fuse clearing fault update topology network generating new sequence switching operation process continues fault cleared improve computational efficiency network reduction algorithm developed group line section switchable section present reduced network proposed method validated ieee bus bus system
| 0
| 7,435
|
[
2,
3996,
1201,
4846,
18567,
36,
3188,
555,
214,
7408,
362,
415,
868,
609,
3188,
12062,
291,
18079,
3996,
1201,
7834,
455,
555,
214,
7408,
985,
936,
352,
362,
4708,
654,
2459,
4927,
625,
467,
3996,
1201,
2016,
3649,
2686,
578,
758,
329,
584,
210,
696,
819,
3188,
1837,
1002,
3996,
1201,
7834,
3931,
64,
1589,
520,
2453,
2061,
59,
251,
15750,
4621,
9594,
5586,
3357,
2061,
59,
4393,
8513,
3996,
1837,
304,
8052,
312,
2519,
2554,
617,
2710,
14057,
11068,
499,
8792,
5497,
819,
256,
2376,
999,
486,
1228,
2123,
2376,
937,
8792,
4013,
1160,
3996,
1837,
2972,
4393,
7834,
70,
3931,
618,
14057,
142,
10327,
7834,
19936,
2905,
3931,
6956,
11113,
64,
8513,
14906,
3931,
2793,
2376,
256,
2559,
385,
1160,
3996,
1837,
455,
9240,
3931,
2905,
64,
1354,
1259,
1370,
256,
1843,
349,
1502,
657,
1175,
2524,
16593,
2524,
415,
2104,
256,
459,
210,
4378,
8224,
4077,
4077,
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
] |
wallop bandaged verbatim search neutralino dark matter naturalness minimal supersymmetric extension standard model mssm higgsino mass parameter come along mass higgs boson neutralino mass matrix electroweak finetuning therefore prefers minuscule economic value bridge player bino corresponding neutralinos prepare good dark matter candidate show current direct lookup limit impose strong lower bound particular mass gravid higgs boson mssm near current limit lhc search therefore tension finetuning neutralino dark thing mssm provide simple analytical look event tight reproduce numerical event
| 7
| 1,782,951
|
[
2,
3129,
166,
1075,
3641,
13582,
289,
53,
1106,
18434,
1397,
1074,
11662,
2169,
5400,
1900,
974,
142,
16313,
3130,
6472,
669,
481,
3543,
1622,
669,
3130,
2986,
18434,
669,
766,
6430,
14053,
1840,
19509,
11807,
15338,
38,
4252,
730,
4579,
3739,
2970,
35,
1309,
18434,
32,
10360,
1860,
1397,
1074,
2333,
223,
845,
1108,
15019,
625,
7437,
788,
1262,
451,
756,
669,
15522,
40,
3130,
2986,
16313,
1027,
845,
625,
3599,
1106,
1840,
4404,
14053,
18434,
1397,
4781,
16313,
693,
1004,
2428,
4146,
1170,
3342,
4720,
869,
1170,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
two grid deflate krylov method acting acting elongate par glide slope pay solving big linear organization combine krylov method use deuce different grid level eigenvectors computed coarse grid use deflate eigenvalue fine power grid gmres typecast method acting first time used coarse veracious grid another approach given start bicgstab idr method fine grid bicgstab loosely considered non kickoff method employment well context deflate restarting mental test show new attack effective difficult additive equivalence problem
| 19
| 499,942
|
[
2,
312,
2542,
8171,
103,
10843,
210,
5136,
5136,
10086,
103,
165,
871,
557,
5148,
4036,
2178,
3315,
617,
4770,
2606,
10843,
210,
508,
139,
589,
467,
2542,
712,
7901,
2852,
4234,
2542,
508,
8171,
103,
2672,
2489,
716,
2542,
18135,
654,
16123,
210,
5136,
499,
290,
522,
4234,
668,
84,
3246,
2542,
2630,
338,
812,
3889,
6734,
2393,
3477,
51,
501,
34,
210,
2489,
2542,
6734,
2393,
3477,
51,
13747,
1657,
278,
10065,
2921,
210,
13092,
529,
1115,
8171,
103,
13928,
70,
7896,
821,
223,
385,
1299,
1013,
1930,
3906,
3314,
304,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
galois conjugate family generalized beta map real number called yrrap ito sadahiro number corresponding negative transformation defined denotes fraction part finite orbit yrrap number analogy parry number positive transformation given paper determine closure set galois conjugate yrrap number addition show analogy result family piecewise linear continuous map obtained changing odd numbered branch left one regarded th transformation negative one application see set yrrap number non parry number countable furthermore show set parry number non yrrap number dense
| 1
| 585,528
|
[
2,
6758,
6453,
1644,
1582,
5028,
813,
495,
486,
1357,
8701,
7432,
10664,
5807,
2830,
11133,
486,
1309,
2221,
2081,
1613,
8204,
1654,
1229,
834,
1430,
8701,
7432,
486,
6350,
165,
403,
486,
1629,
2081,
812,
362,
1988,
5267,
376,
6758,
6453,
8701,
7432,
486,
827,
223,
6350,
249,
1644,
5760,
617,
1335,
813,
970,
3990,
3900,
486,
64,
3461,
3698,
401,
6833,
149,
2081,
2221,
401,
542,
2956,
376,
8701,
7432,
486,
278,
165,
403,
486,
7954,
1518,
223,
376,
165,
403,
486,
278,
8701,
7432,
486,
2637,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
minkowski space sombreness replete set solution somberness minkowski metric considered banker bill th edict perturbation around trivial little joe solvent new musical mode found explicitly comportment signal strong coupling problem transcends minkowski background also intimate pathologic nature cosmological solution
| 11
| 204,479
|
[
2,
6320,
410,
9324,
4573,
691,
15792,
14553,
376,
533,
9324,
350,
691,
6320,
1093,
1657,
6907,
59,
5699,
149,
8870,
1638,
1723,
1926,
2867,
3608,
6349,
38,
9304,
385,
8482,
1082,
1088,
2706,
141,
274,
190,
901,
788,
1183,
304,
10879,
32,
6320,
1919,
364,
18937,
1324,
12949,
2014,
2485,
533,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
disequilibrium market sense equilibrium modeling fiscal market place disequilibrium model ordinary differential equation become popular model prick one famous example model beja goldman modelthe journal finance consider paper discipline passage disequilibrium dynamical balance mathematically limit corresponds asymptotic bound also get laid tikhonov fenichel decrease analyze stability reduce equilibrium model discus economic implication behaviour several numerical example visualize reinforcement analysis
| 18
| 1,623,617
|
[
2,
217,
6107,
2766,
2912,
1726,
1490,
14956,
4134,
2766,
3249,
217,
6107,
142,
4269,
1493,
552,
2387,
2259,
142,
1355,
33,
41,
401,
8801,
848,
142,
478,
17525,
4622,
1859,
142,
8446,
7747,
8736,
520,
362,
7434,
6022,
217,
6107,
1602,
3859,
7233,
625,
4490,
1342,
451,
364,
3195,
18678,
14325,
16853,
1754,
73,
2957,
1849,
1557,
2068,
1726,
142,
883,
4252,
3041,
2645,
876,
869,
848,
8897,
1864,
494,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
valuate truth genie event generator electron scattering datum precision neutrino oscillation experiment future dune prime example require dependable event generator tool gev energy regime dune operate marked changeover low energy nuclear physic domain perturbative qcd resulting rich highly complex cathartic given complexity important establish validation subroutine capable disentangling physical process testing individually demonstrate utility approach benchmarking genie author currently used fermilab based experiment extensive set inclusive negatron dot data comparing take advantage fact electron nucleus neutrino nucleus process share band common physic negatron scattering give one access precisely known beam energy scattering kinematics explore kinematic argument range relevant dune mode observe pattern large discrepancy generator data discrepancy large pion producing regime present medium sized nucleus including argon deuterium hydrogen target area indicating mismodeled hadronic physic various direction possible improvement discus
| 7
| 1,665,822
|
[
2,
2727,
103,
3992,
201,
400,
1170,
2896,
1149,
1661,
14366,
2235,
2018,
2730,
427,
1387,
10836,
3877,
848,
2115,
626,
195,
1170,
2896,
1242,
3598,
470,
1526,
10836,
5545,
6846,
1173,
579,
485,
470,
2461,
1422,
749,
4011,
3072,
1748,
2659,
1752,
586,
10351,
4830,
812,
1223,
994,
1227,
3596,
13878,
3194,
10938,
1347,
455,
2248,
7869,
717,
3312,
338,
6788,
201,
400,
2953,
3458,
522,
16899,
250,
427,
2095,
376,
7436,
1554,
18624,
4463,
233,
3265,
1884,
2051,
769,
1149,
2993,
2018,
2993,
455,
3968,
1075,
1277,
1422,
1554,
18624,
1661,
1041,
401,
2083,
3800,
886,
1786,
470,
1661,
5841,
1989,
3784,
3306,
889,
1980,
10836,
1082,
2638,
1412,
506,
4487,
2896,
233,
4487,
506,
4722,
5022,
1526,
415,
1865,
6009,
2993,
995,
9560,
14305,
4015,
1176,
1589,
4965,
5839,
8658,
64,
5741,
1422,
1002,
1562,
1117,
1760,
883,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
time dependent quantum perturbation consistent semiclassical government present time dependent quantum fluster result uniform max karl ernst ludwig planck invariant perturbation potential whose slope lipschitz continuous likely whose gradient bounded ae though low regularity full potential adequate provide existence graeco roman underlying active variance quantum one result show classical limit perturbed quantum active remains tube shaped neighbourhood classical unperturbed one size order square root size perturbation kickshaw erwin schrodinger von neumann heisenberg equivalence
| 8
| 628,890
|
[
2,
290,
1521,
406,
1723,
1460,
6800,
6904,
415,
290,
1521,
406,
1122,
4052,
249,
1888,
3206,
9061,
43,
726,
2758,
36,
8582,
40,
18489,
4100,
1406,
1723,
801,
1857,
5148,
4597,
1335,
3258,
1857,
1154,
2010,
9060,
3087,
485,
3665,
1616,
801,
7821,
693,
1666,
281,
13729,
11987,
1924,
1894,
2726,
406,
401,
249,
223,
1070,
625,
5306,
406,
1894,
2685,
6075,
5556,
9477,
1070,
13465,
401,
918,
452,
2187,
3257,
918,
1723,
10065,
1001,
2777,
726,
10629,
3629,
6042,
4996,
5064,
3314,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
interpretable steerable sequence learning via prototype one major challenge machine learning nowadays provide prediction high accuracy also user friendly explanation although recent year witnessed increasingly popular use deep neural network sequence modeling still challenging explain rationale behind model output essential building trust supporting domain expert validate critique refine model propose prosenet interpretable steerable deep sequence model natural explanation derived case based reasoning prediction obtained comparing input prototype exemplar case problem domain better interpretability define several criterion constructing prototype including simplicity diversity sparsity propose learning objective optimization procedure prosenet also provides user friendly approach model steering domain expert without knowledge underlying model parameter easily incorporate intuition experience manually refining prototype conduct experiment wide range real world application including predictive diagnostics automobile ecg protein sequence classification sentiment analysis text result show prosenet achieve accuracy par state art deep learning model also evaluate interpretability result concrete case study finally user study amazon mechanical turk mturk demonstrate model selects high quality prototype align well human knowledge interactively refined better interpretability without loss performance
| 0
| 96,330
|
[
2,
4114,
11246,
195,
1160,
285,
864,
4590,
401,
1824,
1136,
825,
285,
8054,
693,
839,
298,
865,
364,
881,
8095,
2961,
2302,
644,
1821,
10233,
3829,
2259,
508,
562,
549,
256,
1160,
1490,
1923,
1759,
1668,
11072,
4921,
142,
1633,
2691,
2540,
3854,
5299,
749,
3245,
3283,
19087,
7758,
142,
537,
8352,
3508,
4114,
11246,
195,
562,
1160,
142,
1398,
2961,
1712,
516,
250,
3560,
839,
970,
3265,
983,
4590,
12617,
516,
304,
749,
1251,
4931,
2560,
876,
2437,
4151,
4590,
995,
6455,
3654,
3874,
537,
285,
1715,
868,
1898,
8352,
3508,
364,
1220,
881,
8095,
338,
142,
8307,
749,
3245,
973,
1179,
1924,
142,
481,
3112,
4268,
7184,
3401,
5652,
12185,
4590,
2040,
427,
1762,
889,
495,
1258,
542,
995,
2718,
8553,
979,
15342,
8277,
3861,
1160,
920,
4843,
494,
1247,
249,
223,
8352,
3508,
1455,
865,
165,
314,
930,
562,
285,
142,
364,
1802,
4931,
249,
5375,
516,
352,
1157,
881,
352,
10618,
3028,
16297,
5051,
81,
41,
717,
142,
8651,
298,
1320,
4590,
2359,
529,
1047,
1179,
15204,
6020,
1251,
4931,
973,
1097,
473,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
blur attention boosting mechanism non uniform blurred image restoration dynamic scene deblurring challenging problem computer vision difficult accurately estimate spatially varying blur kernel traditional method data driven based method usually employ kernel free end end mapping scheme apt overlook kernel estimation address issue propose blur attention module dynamically capture spatially varying feature non uniform blurred image module consists denseblock unit spatial attention unit multi pooling feature fusion effectively extract complex spatially varying blur feature design multi level residual connection structure connect multiple blur attention module form blur attention network introducing blur attention network conditional generation adversarial framework propose end end blind motion deblurring method namely blur attention gan bag single image method adaptively select weight extracted feature according spatially varying blur feature dynamically restore image experimental result show deblurring capability method achieved outstanding objective performance term psnr ssim subjective visual quality furthermore visualizing feature extracted blur attention module comprehensive discussion provided effectiveness
| 3
| 199,396
|
[
2,
7527,
1392,
6368,
1112,
278,
1888,
15651,
488,
7408,
565,
2866,
12966,
1759,
304,
2003,
2750,
1930,
3236,
999,
3689,
2566,
7527,
1858,
2239,
210,
233,
1457,
250,
210,
2755,
1550,
1858,
965,
904,
904,
2256,
903,
14452,
9195,
1858,
1083,
1260,
1737,
537,
7527,
1392,
1815,
4213,
2052,
3689,
2566,
571,
278,
1888,
15651,
488,
1815,
2834,
2637,
12917,
1436,
1325,
1392,
1436,
329,
6078,
571,
3016,
2760,
1890,
586,
3689,
2566,
7527,
571,
618,
329,
712,
3278,
1960,
497,
5098,
849,
7527,
1392,
1815,
337,
7527,
1392,
256,
3632,
7527,
1392,
256,
2820,
1356,
1374,
609,
537,
904,
904,
5742,
1367,
12966,
210,
2511,
7527,
1392,
2732,
7413,
782,
488,
210,
6452,
3869,
1152,
3404,
571,
2605,
3689,
2566,
7527,
571,
4213,
11585,
488,
982,
249,
223,
12966,
2459,
210,
2002,
8123,
1715,
473,
612,
12775,
12463,
6759,
1386,
1320,
1518,
10511,
571,
3404,
7527,
1392,
1815,
3100,
4139,
2082,
2059,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
sensitivity cherenkov telescope array probing cosmology fundamental physic gamma ray propagation cherenkov telescope array cta new generation ground based observatory ray astronomy provides unique capability address significant open question astrophysics cosmology fundamental physic study salient area ray cosmology explored part key science project cta simulated observation active galactic nucleus agn relativistic jet observation agn cta enable measurement ray absorption extragalactic background light statistical uncertainty redshift constrain detect ray halo intergalactic magnetic field strength least pg extragalactic observation cta also show promising potential probe physic beyond standard model best limit lorentz invariance violation ray astronomy improved factor least two three cta also probe parameter space axion like particle could constitute significant fraction dark matter conclude synergy cta upcoming facility foster growth ray cosmology
| 10
| 1,398,478
|
[
2,
2307,
8887,
3067,
2455,
5328,
4177,
1708,
1422,
3267,
1245,
2504,
8887,
3067,
2455,
14683,
385,
1356,
1636,
250,
5074,
1245,
6778,
1220,
2326,
2459,
1260,
779,
1090,
1408,
7301,
4177,
1708,
1422,
352,
7403,
1589,
1245,
4177,
3891,
1229,
1231,
2430,
2487,
14683,
2803,
972,
1894,
3049,
2993,
4540,
2662,
2580,
972,
4540,
14683,
2769,
852,
1245,
3274,
9419,
1919,
1003,
1558,
1451,
2998,
739,
2106,
1245,
3211,
12066,
826,
381,
2126,
2100,
9529,
9419,
972,
14683,
364,
223,
2312,
801,
2634,
1422,
2173,
974,
142,
1539,
625,
4288,
3928,
4072,
1245,
6778,
2023,
955,
2100,
312,
776,
14683,
364,
2634,
481,
410,
3696,
1079,
836,
1499,
7078,
779,
1654,
1397,
1074,
3766,
10295,
14683,
7402,
5195,
12203,
2084,
1245,
4177,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
reconstructing stieltjes function approximate value lookup needle hay stack real response passive spiritualist external influence described complex analytic subroutine frequency always written term stieltjes function special class analytic function function complex upper half plane restore function experimentally measure time value specific frequency cardinal problem address newspaper unequivocal reconstruction algorithm produce certificate optimality well graphic representation uncertainty reconstruction purpose effectiveness attest context electrochemical electric resistance spectroscopy
| 8
| 694,101
|
[
2,
7573,
15708,
327,
2148,
730,
15019,
13328,
14937,
3380,
495,
1601,
5127,
9633,
399,
521,
2513,
2368,
2422,
586,
2354,
13878,
1029,
3176,
5056,
612,
15708,
327,
1846,
463,
2354,
327,
327,
586,
2054,
3045,
1954,
11585,
327,
2882,
949,
290,
730,
1255,
1029,
11268,
304,
1260,
19675,
10594,
360,
3228,
2017,
349,
1990,
9410,
4465,
529,
8129,
748,
1451,
2017,
2676,
2059,
513,
286,
1115,
10332,
2253,
5283,
2999,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
linking scalar elastodynamics non hermitian quantum mechanic recent yr project grip pollination idea quantum theory elastodynamics theory phenomenologically describes time dependant macroscopic response material open road transfer additional tool non hermitian quantum mechanic menachem begin identify difference similarity one dimensional elastodynamics equation time independent erwin schrodinger equivalence finding condition two equivalent subsequently demonstrate application non hermitian disturbance theory determine response elastic system calculation leaky mode energy decay charge per unit heterogenous hearty open boundary using quantum mechanic glide slope construction degeneracy spectrum assembly latter result technological grandness introduces approach harness sinful wave phenomenon associated non hermitian degeneracy practical device designing simple elastic system exercise covering demonstrate assembly elastic slab designed two degenerate shear state matter allot scheme used deal feel enhanced sensitivity exploiting unique topology near particular point degeneracy
| 13
| 1,209,391
|
[
2,
7210,
1631,
16513,
5726,
278,
3692,
406,
3378,
644,
8701,
2487,
12981,
7384,
1841,
2399,
406,
476,
16513,
5726,
476,
14894,
3705,
290,
626,
150,
4749,
1601,
1222,
1090,
4028,
1293,
1854,
1242,
278,
3692,
406,
3378,
9909,
12084,
53,
4983,
1678,
1608,
2447,
401,
673,
16513,
5726,
552,
290,
1312,
726,
10629,
3629,
3314,
1545,
587,
312,
2514,
5139,
717,
542,
278,
3692,
5302,
476,
1988,
1601,
2933,
214,
1672,
14528,
1082,
470,
1552,
1682,
184,
1436,
18180,
5737,
50,
1090,
1107,
291,
406,
3378,
871,
557,
5148,
1793,
5184,
978,
5018,
2679,
249,
6545,
7811,
691,
3795,
338,
8182,
1625,
789,
713,
1981,
1187,
278,
3692,
5184,
2065,
1201,
3918,
1004,
2933,
214,
9219,
4367,
717,
5018,
2933,
9449,
2092,
312,
3920,
3616,
314,
1074,
19269,
903,
522,
2951,
13715,
2646,
2307,
3646,
2326,
2376,
1027,
756,
563,
5184,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
inviolable orbit gist monolithic scalar tensor soberness easy spinning neutron star application programme ray pulsar pulse profile neutron star scalar tensor st theory gravitation acquire scalar heraldic bearing generate distinct spacetimes general relativity gr celebrated phenomenon unwritten scalarization taking st theory mickle full term scalar field determine possibility argument space spontaneous scalarization investigating linearized scalar field equation full numeral solution slow rotating obtained studied great detail resulted spacetime used calculate tryout speck geodesic lightlike geodesic line employ construct profile ray radiation pair hot spot surface scalarized potentially compared datum neutron asterisk interior typography ie nicer foreign mission testing st theory
| 7
| 1,659,283
|
[
2,
411,
14482,
195,
1430,
11224,
79,
11223,
1631,
1540,
5269,
799,
174,
3798,
7771,
2185,
706,
542,
11365,
1245,
4351,
2897,
2379,
2185,
706,
1631,
1540,
92,
476,
13310,
7236,
1631,
16673,
176,
33,
9995,
1941,
2770,
6016,
421,
4260,
1994,
9223,
1981,
10146,
15573,
16382,
16167,
2960,
92,
476,
961,
7921,
1616,
612,
1631,
381,
1988,
2851,
3306,
410,
4063,
16167,
5360,
6462,
1631,
381,
552,
1616,
722,
61,
533,
2563,
3964,
970,
1590,
1931,
1639,
7708,
3426,
522,
2967,
5979,
754,
539,
41,
4193,
1003,
3310,
4193,
1175,
1550,
1244,
2379,
1245,
2463,
1140,
3365,
5310,
854,
18518,
3345,
985,
14366,
2185,
11714,
1863,
5014,
523,
2873,
1273,
15482,
13469,
4216,
2248,
92,
476,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
get vaccinated individualized allocation vaccine sir network allocate vaccinum heterogenous individual unmatched important insurance decision pandemic time newspaper develops procedure estimate individualized vaccine allocation insurance policy restrain supplying exploiting social meshwork data containing individual demographic characteristic health condition model spillover effect vaccine based heterogeneous interacted sir network manakin estimate individualise vaccine allocation insurance policy maximizing estimated social welfare public health criterion incorporate spillover optimization problem generally np concentrated integer optimisation trouble show sir structure lead submodular nonsubjective function provide computationally attractive greedy algorithm approximating solvent theoretical performance guarantee moreover characterise finite sample welfare regret edge examine uniform convergence rate depends complexity riskiness social network feigning illustrate grandness turn spillover comparing method targeting without network information
| 18
| 1,593,713
|
[
2,
3195,
6874,
7394,
16590,
3286,
9145,
7359,
256,
11562,
6874,
60,
109,
18180,
1570,
7579,
19538,
994,
9243,
1510,
4149,
290,
19675,
6503,
1898,
999,
16590,
9145,
3286,
9243,
1289,
1620,
263,
5658,
70,
3646,
1794,
3453,
192,
233,
3438,
1570,
7414,
1548,
2499,
587,
142,
16515,
610,
9145,
250,
3020,
4636,
64,
7359,
256,
398,
11046,
39,
999,
1570,
491,
9145,
3286,
9243,
1289,
5529,
2923,
1794,
8789,
2133,
2499,
2437,
4268,
16515,
868,
304,
2946,
3950,
7973,
2554,
5909,
19753,
80,
223,
7359,
497,
840,
7319,
11537,
737,
1240,
327,
693,
3180,
4825,
5430,
349,
5728,
9304,
1238,
473,
2190,
1415,
8501,
834,
832,
8789,
4024,
1226,
3307,
1888,
1298,
687,
2696,
1223,
1965,
4253,
1794,
256,
412,
248,
70,
2495,
7811,
691,
2405,
16515,
3265,
210,
7992,
973,
256,
545,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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 physic mannikin independent analysis lepton universality violating nip ratio point new physic either fresh physic transition corresponding unexampled physic operator principle lorentz anatomical structure work perform model sovereign analysis new physic decay considering effective operator either meter similar operator clip include measurement sector along depth psychology show various young physic scenario vectoraxial vector operator account data scalarpseudoscalar wheeler dealer tensor operator also show azimuthal angulate observable decay suited discriminate dissimilar allowed solution
| 7
| 1,739,989
|
[
2,
385,
14551,
10940,
40,
1422,
17875,
3936,
60,
1312,
494,
4607,
5214,
6383,
18622,
1467,
563,
385,
1422,
1896,
8667,
1422,
908,
1309,
4790,
10469,
1422,
941,
1779,
4288,
9063,
497,
431,
347,
142,
1294,
126,
38,
248,
494,
385,
1422,
1552,
2462,
1013,
941,
1896,
7838,
960,
941,
7905,
2373,
852,
3364,
1622,
2220,
11872,
223,
1002,
4332,
1422,
1296,
1134,
5581,
1134,
941,
1948,
233,
1631,
2390,
8110,
15933,
637,
8656,
12523,
2951,
59,
1540,
941,
364,
223,
8357,
1405,
1773,
4131,
1552,
5534,
8967,
9222,
4092,
533,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
periodically quasi periodically randomly driven conformal field theory part paper sequel study non equilibrium dynamic driven conformal field theory cfts periodic quasi periodic random driving study soluble family drive hamiltonian involves energy momentum density spatially modulated single wavelength resulting time evolution captured mobius coordinate transformation part establish general framework focus first two class periodically driven cfts generalize earlier work study generic feature entanglementenergy evolution different phase ie heating non heating phase phase transition quasi periodically driven cfts mainly focus case driving fibonacci sequence find non heating phase form cantor set measure zero ii heating phase lyapunov exponent characterize growth rate entanglement entropy energy exhibit self similarity arbitrarily small iii heating phase exhibit periodicity location spatial structure fibonacci time iv one find exactly non heating fixed point entanglement entropyenergy oscillate fibonacci number grow logarithmicallypolynomially non fibonacci number certain choice driving hamiltonians non heating phase fibonacci driving cft mapped energy spectrum electron propagating fibonacci quasi crystal addition another quasi periodically driven cft aubry andre like sequence also studied compare cft result lattice calculation find remarkable agreement
| 4
| 1,302,808
|
[
2,
7201,
2119,
7201,
4645,
1457,
3076,
381,
476,
1229,
362,
18677,
352,
278,
1726,
565,
1457,
3076,
381,
476,
10708,
2229,
2119,
2229,
753,
2594,
352,
18676,
1644,
4047,
2001,
3806,
470,
1772,
784,
3689,
6259,
782,
3110,
1748,
290,
1085,
4632,
11194,
2972,
2081,
1229,
1227,
421,
609,
1102,
499,
312,
463,
7201,
1457,
10708,
3043,
4038,
431,
352,
2675,
571,
2308,
16502,
1085,
467,
584,
1273,
4576,
278,
4576,
584,
584,
908,
2119,
7201,
1457,
10708,
3601,
1102,
516,
2594,
10963,
1160,
696,
278,
4576,
584,
337,
11291,
376,
949,
1362,
1465,
4576,
584,
4997,
3360,
2636,
2084,
687,
2308,
1612,
470,
1835,
1081,
2447,
4896,
762,
3509,
4576,
584,
1835,
7759,
2309,
1325,
497,
10963,
290,
5009,
401,
696,
3625,
278,
4576,
1650,
563,
2308,
1612,
16502,
16603,
10963,
486,
1315,
12259,
19259,
307,
9778,
278,
10963,
486,
1452,
2273,
2594,
5317,
278,
4576,
584,
10963,
2594,
6265,
6840,
470,
978,
1149,
5657,
10963,
2119,
2375,
827,
2630,
2119,
7201,
1457,
6265,
17522,
12600,
1079,
1160,
364,
1590,
1845,
6265,
249,
1276,
1672,
696,
4739,
2626,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
multilingual multimodal digital deception detection disinformation spread across social platform main contribution work novel result multilingual model go beyond typical application rumor misinformation detection english social news content identify fine grained class digital deception across multiple language eg russian spanish etc addition present model multimodal deception detection image text discus limitation image text model finally elaborate ongoing work measuring deceptive content particular disinformation spread across social platform
| 0
| 63,579
|
[
2,
6468,
4476,
3075,
14033,
791,
15016,
2853,
1496,
1794,
2145,
925,
1688,
431,
758,
249,
6468,
142,
902,
2173,
2922,
542,
13344,
9519,
791,
4884,
1794,
4140,
2313,
1678,
2489,
4222,
463,
3075,
14033,
1496,
849,
1146,
1454,
13236,
13857,
3818,
827,
415,
142,
4476,
14033,
791,
488,
1247,
883,
2753,
488,
1247,
142,
1157,
9400,
6402,
431,
3835,
18184,
2313,
756,
15016,
2853,
1496,
1794,
2145,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
correlational quantum possibility correlation restraint correlational dialect inaugurate within quantum possibility spoken language give unified treatment finite dimensional informationaloperational quantum theory countless dimensional relativistic quantum possibility quantum gravity theory written term correlation diagram assign correlational statistic case weight grouping exchangeable correlation diagram lead generalized feynman diagram special case reduce familiar richard phillips feynman plot quantum field operation theory correlational formalism applied cogitation correlation restraint revealing new class quantum process evade previous characterization general quantum summons result apply quantum theory respective kind include time asymmetric theory time symmetrical theory theory without predefined time possibility indefinite causal social system
| 11
| 236,503
|
[
2,
1138,
61,
406,
2851,
1138,
1620,
263,
36,
1138,
61,
14171,
83,
17841,
6113,
992,
406,
2851,
7997,
1146,
1041,
3384,
2506,
834,
673,
16104,
2394,
469,
406,
476,
2527,
2112,
673,
2662,
406,
2851,
406,
1870,
476,
5056,
612,
1138,
2543,
3198,
1138,
61,
2196,
516,
1152,
9392,
13885,
1138,
2543,
840,
1582,
6937,
2543,
1846,
516,
2068,
9054,
11809,
8722,
2378,
32,
6937,
6903,
406,
381,
1837,
476,
1138,
61,
3091,
1261,
4208,
3669,
1138,
1620,
263,
36,
6143,
385,
463,
406,
455,
15773,
912,
2537,
421,
406,
2520,
2491,
249,
1780,
406,
476,
5718,
3251,
2373,
290,
4086,
476,
290,
15129,
476,
476,
973,
8233,
290,
2851,
11875,
2812,
1794,
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
] |
neuralexplorer state place geographic expedition close loop control organization utilise neural network theme propose framework performing state space exploration closed loop control system approach involves approximate sensitivity newly bring notion opposite sensitiveness neuronic network appearance idea sensitiveness inverse sensitivity used cypher estimate approachable set outline algorithm performing state outer space geographic expedition generating trajectory reach neighborhood demonstrate effectiveness approach applying standard linear nonlinear dynamical arrangement also nonlinear hybrid scheme also neural network base feedback control system
| 3
| 179,728
|
[
2,
549,
15784,
302,
34,
314,
3249,
10106,
18099,
2053,
2247,
1984,
561,
4770,
14904,
549,
256,
9868,
537,
609,
3324,
314,
410,
3081,
2064,
1984,
561,
214,
338,
3806,
2148,
2307,
4952,
4161,
2245,
5446,
2607,
691,
3945,
72,
256,
4441,
2399,
2607,
691,
2218,
2307,
522,
1254,
6203,
999,
338,
195,
376,
6030,
349,
3324,
314,
4416,
410,
10106,
18099,
2053,
2559,
2026,
2123,
4764,
717,
2059,
338,
2709,
974,
617,
1144,
1602,
6096,
364,
1144,
2025,
903,
364,
549,
256,
2533,
2349,
561,
214,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
quenching vasco da gamma modulation result beckon neutron stimulate doorway mechanism gamma strength function essentially distinguishes chemical reaction mechanism charged particle inelastic neutron gaining control response reflecting ratio transition neutron capture low lying state extraordinary blow gamma changeover wave neutron resonance chemical reaction realm nucleus atomic number observed first sentence due non forming doorway body politic activation raise strong intensity gamma vasco da gamma sweetening low energy gamma strength function emerge neutron capture chemical reaction ensue population cascade transition low lying re publica rather primary modulation astrophysical chemical reaction rate extracted total partial neutron capture hybridisation discussion section atomic number might adopt constrain abundance successive heavier isotope outgrowth
| 14
| 991,457
|
[
2,
7783,
15124,
4384,
3735,
3267,
3435,
249,
1413,
13091,
39,
2185,
14272,
9193,
1873,
1112,
3267,
2126,
327,
4939,
12440,
2531,
2608,
1112,
3297,
836,
6224,
2185,
9485,
561,
1601,
6028,
1467,
908,
2185,
2052,
485,
7447,
314,
12388,
5834,
3267,
1173,
579,
713,
2185,
2292,
2531,
2608,
10362,
2993,
2671,
486,
1059,
499,
3472,
824,
278,
3903,
9193,
1873,
1577,
19633,
3617,
6674,
788,
2947,
3267,
15124,
4384,
3735,
3267,
19488,
2604,
485,
470,
3267,
2126,
327,
5703,
2185,
2052,
2531,
2608,
1435,
284,
1719,
5322,
908,
485,
7447,
110,
2133,
42,
2728,
3463,
3435,
4318,
2531,
2608,
687,
3404,
1876,
2170,
2185,
2052,
2025,
2105,
4139,
2524,
2671,
486,
3107,
5170,
739,
3436,
6411,
10508,
7456,
19991,
2355,
225,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
algorithmic causal set wolfram model formal relationship two differing approach description spacetime intrinsically discrete mathematical structure namely causal set theory wolfram model studied demonstrated hypergraph rewriting approach wolfram model effectively interpreted providing underlying algorithmic dynamic causal set evolution show causal invariance hypergraph rewriting system used infer conformal invariance induced causal partial order manner provably compatible measure theoretic argument bombelli henson sorkin illustrate many local dimension estimation algorithm developed context wolfram model may reformulated generalization midpoint scaling estimator causal set compatible generalized myrheim meyer estimator well exploring presence underlying hypergraph structure yield significantly robust technique estimating spacelike distance compared several standard distance predistance estimator function causal set theory finally demonstrate benincasa dowker action causal set recovered special case discrete einstein hilbert action wolfram model system ergodicity assumption hypergraph replaced poisson distribution assumption causal set also classical quantum sequential growth dynamic recovered special case wolfram model multiway evolution appropriate choice discrete measure
| 11
| 210,536
|
[
2,
3930,
2812,
376,
11833,
359,
142,
2004,
2175,
312,
11045,
338,
2045,
3426,
8075,
1596,
2657,
497,
2511,
2812,
376,
476,
11833,
359,
142,
1590,
2327,
5258,
10420,
338,
11833,
359,
142,
2760,
4850,
2494,
1924,
3930,
565,
2812,
376,
1085,
223,
2812,
3928,
5258,
10420,
214,
522,
2633,
3076,
3928,
1627,
2812,
2170,
452,
3061,
6418,
4023,
949,
3423,
3306,
14414,
10280,
17711,
58,
14576,
3804,
2495,
731,
619,
443,
1083,
349,
1502,
1115,
11833,
359,
142,
853,
11844,
1781,
16943,
2147,
1951,
2812,
376,
4023,
1582,
7603,
7880,
18511,
1951,
529,
4301,
1591,
1924,
5258,
497,
1718,
1411,
872,
703,
3262,
12991,
1193,
985,
876,
974,
1193,
5424,
18597,
15843,
38,
1951,
327,
2812,
376,
476,
1157,
717,
5819,
1049,
18171,
6540,
54,
3860,
1274,
2812,
376,
5704,
1846,
516,
1596,
2982,
3266,
1274,
11833,
359,
142,
214,
8976,
1628,
5258,
6645,
3243,
555,
1628,
2812,
376,
364,
1070,
406,
3188,
2084,
565,
5704,
1846,
516,
11833,
359,
142,
329,
1873,
1085,
2955,
2273,
1596,
949,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
fano shimura variety mostly branched cusp show satake baily borel compactification certain shimura variety fano variety ample canonical divisor mean special modular form give various concrete example unbranched open subset always quasi affine fano unitary shimura variety case instance one cusp necessarily covered closure branch divisor example include modulus log enriques surface corresponding associated various hermitian lattice way also show imaginary quadratic field unimodular hermitian lattice associated unitary shimura variety unbranched codimension
| 1
| 565,837
|
[
2,
7976,
13437,
1683,
4461,
11840,
7341,
223,
2275,
2694,
5575,
1141,
7555,
7512,
1452,
13437,
1683,
7976,
1683,
11462,
3173,
6944,
823,
1846,
3369,
337,
1041,
1002,
5375,
848,
4744,
8168,
12859,
1090,
2553,
3176,
2119,
3552,
7976,
3673,
13437,
1683,
516,
2086,
401,
7341,
4831,
7102,
5267,
3461,
6944,
848,
2373,
3549,
1211,
145,
118,
15015,
854,
1309,
1187,
1002,
3692,
1276,
1024,
364,
223,
6392,
2642,
381,
11841,
3692,
1276,
1187,
3673,
13437,
1683,
4744,
8168,
12859,
8717,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
acceptableness maximization aim newspaper publisher survey optimal investment problem using coherent acceptability index cais tool measure portfolio performance call problem acceptableness maximization first study one period motionless case offer numeric algorithm gauge original problem sequence risk minimization problem result go several important cais gain loss ratio risk adjusted return capital tail value risk based cai second part newspaper investigate acceptability maximization discrete time dynamic setup using robust representation cais term family dynamic coherent risk bar dcrms establish intriguing dichotomy corresponding family dcrms recursive ie strongly time consistent assuming recursive structure market model acceptableness maximization problem reduces one period time problem maximal acceptableness constant across country prison term paw family dcrms recursive often case acceptability maximization problem ordinarily time inconsistent stochastic control condition problem similar classical mean disagreement criterion overcome form time inconsistency adapt setup fix treasure bellman principle lately proposed citekovacovarudloff applied two particular dynamic cais dynamic risk adjust return capital dynamic amplification loss ratio obtain theoretical result illustrated via numerical example include particular computation intermediate mean risk efficient frontier
| 15
| 1,121,783
|
[
2,
8499,
691,
4900,
1484,
19675,
17914,
1799,
819,
6905,
304,
291,
2609,
19665,
1901,
3517,
86,
1242,
949,
5954,
473,
1052,
304,
8499,
691,
4900,
499,
352,
401,
1278,
1367,
2112,
516,
2380,
12380,
349,
2036,
2167,
304,
1160,
1965,
3848,
304,
249,
902,
876,
994,
3517,
86,
2146,
1097,
1467,
1965,
7891,
3970,
8281,
2735,
730,
1965,
250,
3517,
31,
937,
1229,
19675,
1190,
19665,
4900,
1596,
290,
565,
3405,
291,
872,
748,
3517,
86,
612,
1644,
565,
2609,
1965,
2590,
3853,
3960,
32,
1227,
6478,
10081,
1309,
1644,
3853,
3960,
32,
5402,
1273,
2120,
290,
1460,
3416,
5402,
497,
2766,
142,
8499,
691,
4900,
304,
3275,
401,
1278,
290,
304,
3321,
8499,
691,
1269,
1496,
4299,
16663,
612,
259,
54,
1644,
3853,
3960,
32,
5402,
1429,
516,
19665,
4900,
304,
3738,
19801,
290,
7785,
1119,
561,
587,
304,
960,
1070,
823,
10249,
2437,
3581,
337,
290,
8316,
2180,
3405,
1464,
4148,
9175,
9836,
1779,
17259,
459,
5585,
5042,
16503,
14939,
188,
1630,
122,
1261,
312,
756,
565,
3517,
86,
565,
1965,
3922,
3970,
8281,
565,
6530,
1097,
1467,
575,
1238,
249,
5039,
864,
869,
848,
2373,
756,
1189,
3094,
823,
1965,
790,
8125,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
complex plane internal representation stationary state cubic quintic resonant arrangement weakly nonlinear energy transfer normal mode powerfully resonant pdes captured corresponding effective resonant system premature article constructed large class resonant system specific representative related physic bose einstein condensate anti de sitter spacetime admit special analytic solution extra conserved quantity develop explore complex woodworking plane theatrical performance organization modelled related cubic szego lll equation demonstrate power representation function give simple closed form expression house stationary state bifurcate individual manner conservation legal philosophy complex woodworking plane representation stationary state admit furthermore natural stimulus generalisation three dimensional quintic nonlinearity demonstrate two concrete quintic pdes mathematical physic fit framework directly benefit analytic structure present quintic nonlinear schroedinger equation dimensional harmonic trap studied relation satyendra nath bose einstein condensate quintic conformally changeless wave equation two sphere interest adscft symmetry
| 12
| 736,804
|
[
2,
586,
1954,
3060,
748,
2794,
314,
4358,
15388,
3809,
6096,
3313,
1144,
470,
1293,
1572,
1082,
3039,
97,
3809,
5346,
4632,
1309,
1013,
3809,
214,
7866,
292,
2063,
2776,
506,
463,
3809,
214,
1255,
4323,
1264,
1422,
4705,
2982,
4496,
2048,
139,
5115,
3426,
3255,
1846,
2354,
533,
2818,
5908,
2797,
578,
1989,
586,
12822,
192,
70,
1954,
311,
10599,
61,
473,
4770,
6828,
1264,
4358,
15270,
35,
18529,
552,
717,
716,
748,
327,
1041,
1004,
2064,
337,
2165,
10029,
2794,
314,
15567,
103,
1570,
3061,
4356,
8089,
12297,
586,
12822,
192,
70,
1954,
748,
2794,
314,
3255,
1518,
1398,
7373,
6845,
776,
673,
15388,
5505,
717,
312,
5375,
15388,
5346,
2657,
1422,
1814,
609,
1986,
2539,
2354,
497,
415,
15388,
1144,
16851,
552,
673,
2865,
2952,
1590,
893,
2275,
5053,
39,
13544,
42,
1100,
37,
4705,
2982,
4496,
15388,
9373,
1173,
2112,
713,
552,
312,
3018,
1640,
11512,
1078,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
optimal point fund raise machine ascertain advance unable fundraising low spirited imagination charity use good provision combine field experiment causal machine learning approach increase jacob ladder fundraising effectiveness glide path optimally target fundraising individual whose expected donation exceed solicitation toll among preceding donor optimum aim considerably increase donation final fundraising toll relative benchmark target everybody one rather individual previously asked never donated targeted greek valerian command publically available geospatial information realize gain targeting conclude charity engaging optimal targeting waste resource
| 18
| 1,601,502
|
[
2,
819,
563,
1547,
6674,
825,
14964,
2722,
8573,
1547,
99,
1073,
485,
9633,
64,
19745,
466,
104,
508,
1860,
9929,
2606,
381,
427,
2812,
825,
285,
338,
1376,
4303,
8360,
1547,
99,
1073,
2059,
871,
557,
1324,
6479,
1176,
1547,
99,
1073,
1570,
1857,
1945,
7400,
75,
4417,
531,
1061,
75,
17391,
1509,
12692,
9456,
5629,
1484,
5996,
1376,
7400,
75,
2811,
1547,
99,
1073,
17391,
1946,
1520,
1176,
1933,
9268,
401,
2728,
1570,
2240,
9362,
3932,
7400,
180,
5473,
19227,
461,
59,
599,
7715,
2133,
200,
1192,
16042,
545,
4919,
2146,
7992,
3766,
466,
104,
13772,
819,
7992,
11093,
1655,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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 qcd novel transmitter architecture sx aurora tsubasa pcie accelerator notice newest modeling nec sx architecture family line multi core transmitter processor feature vector length kb user port gigabyte hbm retentivity current theoretic account available since compute bear tflops top double preciseness memory throughput tib peak novel model improved public presentation characteristic foretell good futurity contribution saucer key aspect sx break day describe enable computer architecture grid wicket quantum chromodynamics fabric
| 19
| 499,162
|
[
2,
1276,
3072,
758,
6574,
1091,
19125,
11882,
8180,
6775,
737,
18171,
3232,
400,
4657,
8345,
385,
286,
1490,
18019,
19125,
1091,
1644,
1175,
329,
1915,
6574,
5472,
571,
1134,
1698,
10053,
881,
3604,
19304,
2454,
1379,
11367,
53,
1469,
11899,
104,
845,
3423,
1948,
1192,
1784,
1893,
7393,
8485,
1630,
2390,
653,
2377,
3235,
691,
1581,
4214,
6307,
51,
2596,
758,
142,
2023,
2133,
6303,
1548,
5635,
1379,
7270,
1860,
1382,
1961,
1688,
4534,
589,
34,
1231,
2346,
19125,
2061,
3040,
1734,
2769,
2003,
1091,
2542,
14901,
77,
406,
11736,
5791,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
magnetic mass spectrometer measure electron cluster accelerated awake magnetic spectrometer developed arouse experiment cern order measure vigour distribution caboodle electron speed wakefields sire proton bunch plasma awake proof principle experiment proton labour plasma wakefield acceleration using proton bunch sps electron bunch accelerated gev rubidium plasma cell separated proton bunch via dipole magnet dipole magnet induces energy dependent spatial horizontal scatter electron bunch impact scintillator screen sparkle photon emitted transport via three highly reflective mirror intensified ccd camera housed dark room pas image cern control system storage analysis give known magnetized area purpose efficiency system spacial spread scintillation photon converted electron energy distribution lamp attached rail front scintillator used calibrate optic organisation calibration scintillator screen door response electron carried unmortgaged facility cern article design awake spectrometer presented along calibration convey expected functioning energy distribution accelerated electron measure
| 17
| 313,333
|
[
2,
826,
669,
7664,
949,
1149,
878,
4368,
19555,
526,
826,
7664,
1502,
13133,
38,
427,
10214,
452,
949,
15486,
371,
555,
12606,
1404,
80,
1149,
1691,
13911,
32,
7359,
38,
2915,
9043,
2574,
19555,
526,
1689,
1779,
427,
2915,
17348,
2574,
13911,
3339,
291,
2915,
9043,
13213,
1149,
9043,
4368,
3598,
17885,
2574,
1395,
4758,
2915,
9043,
864,
3822,
2370,
3822,
2370,
5535,
470,
1521,
1325,
6353,
1440,
1149,
9043,
1485,
11096,
8964,
10200,
80,
1658,
6750,
1538,
864,
776,
1752,
11406,
4327,
17450,
524,
12189,
2980,
10029,
40,
1397,
4273,
5599,
488,
10214,
561,
214,
3408,
494,
1041,
886,
7499,
1589,
2676,
1370,
214,
5291,
300,
2853,
10943,
1658,
8012,
1149,
470,
555,
4162,
44,
8179,
11493,
4099,
11096,
522,
10273,
4319,
12925,
3558,
11096,
8964,
9193,
1601,
1149,
3862,
7579,
274,
4462,
2586,
5195,
10214,
2063,
618,
19555,
526,
7664,
1588,
1622,
3558,
10917,
1945,
12978,
470,
555,
4368,
1149,
949,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
computational phase transition signature gibbs sampling gibbs sampling fundamental wide range computer algorithm algorithm set replaced physic based processorsbe quantum stochastic annealing deviceswhich embed problem instance evolve physical system ensemble recover probability distribution critical constraint variable ratio decision problemssuch propositional satisfiabilityappear statistically exhibit abrupt transition required computational resource called algorithmic computational phase transition signature yet observed contemporary physic based processor found computational phase transition admits signature gibbs distribution hence predict prescribe physical observation effect simulate experiment realized experimentally believe would represent milestone physical theory computation
| 4
| 1,459,688
|
[
2,
1259,
584,
908,
2971,
5826,
1836,
5826,
1836,
1708,
1762,
889,
2003,
349,
349,
376,
6645,
1422,
250,
5472,
11298,
38,
406,
1119,
6208,
1201,
14760,
13041,
138,
1092,
304,
2086,
6036,
1347,
214,
2186,
1868,
1158,
555,
1166,
986,
1089,
1467,
1510,
304,
258,
1517,
12962,
11405,
7752,
5273,
1835,
9266,
908,
2089,
1259,
1655,
1357,
3930,
1259,
584,
908,
2971,
2334,
1059,
8652,
1422,
250,
5472,
1088,
1259,
584,
908,
4824,
2971,
5826,
555,
2648,
1480,
14942,
38,
1347,
972,
610,
4499,
427,
4276,
2882,
5829,
2274,
570,
14395,
1347,
476,
1189,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
precise furcate ratio measurement ne beta decay underlying test weak interaction used ray light spectrometer triumf isac radiocative ion radio beam facility obtain high preciseness branching proportion ne decay excited state concert previous work measuring determine superallowed beta branch ground do three time precise known previously implication measuring testing variety fallible interaction symmetry discourse briefly
| 16
| 896,239
|
[
2,
3235,
1466,
14872,
38,
1467,
852,
159,
5028,
1552,
1924,
821,
1207,
719,
522,
1245,
1003,
7664,
1495,
109,
52,
15104,
33,
2193,
12445,
98,
1710,
2193,
1786,
5195,
575,
298,
3235,
691,
5196,
3592,
159,
1552,
3934,
314,
9713,
7937,
912,
431,
3835,
1988,
477,
18341,
64,
5028,
3461,
1636,
6540,
776,
290,
3235,
886,
2240,
3041,
3835,
2248,
1683,
4680,
1310,
719,
1078,
9565,
5981,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
surface growth scheme bulk reconstruction tensor network propose surface growth set reconstruct mass spacetime geometry actuate huygensprinciple undulation extension first concept tensor network corresponding particular surface growth picture spheric symmetry fractal feature using one shot entanglement distillation osedmethod show resulting tensor network tantamount mera like tensor network give proof mera like tensor network discretized edition time slice ad spacetime rather analogy moreover generalize original osed method describe oecumenical surface increment picture use surfacestate symmetricalness generalized rt formula trail wakeless understanding surface growth process cater concrete intuitive elbow room idea entanglement wedge reconstruction
| 9
| 1,753,104
|
[
2,
854,
2084,
903,
2564,
2017,
1540,
256,
537,
854,
2084,
376,
3538,
669,
3426,
1583,
6608,
103,
4283,
18732,
331,
2583,
15843,
6700,
38,
3961,
361,
1900,
499,
1546,
1540,
256,
1309,
756,
854,
2084,
4199,
2920,
72,
1078,
6084,
571,
291,
401,
3031,
2308,
5202,
8618,
64,
9811,
225,
89,
223,
1748,
1540,
256,
16017,
113,
898,
4309,
42,
1079,
1540,
256,
1041,
1689,
4309,
42,
1079,
1540,
256,
8105,
16500,
290,
5719,
198,
3426,
2728,
6350,
1415,
3043,
2167,
8618,
64,
210,
1734,
18863,
33,
1971,
14064,
61,
854,
4690,
4199,
508,
854,
8362,
15129,
691,
1582,
6644,
1729,
13265,
7014,
2112,
1543,
854,
2084,
455,
15325,
5375,
5672,
19320,
54,
4273,
2399,
2308,
9539,
2017,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
survey clump core condensation cygnus new catalog pc massive dense core using infrared submillimeter data spitzer herschel james clerk maxwell telescope iram telescope conducted unbiased survey massive dense core mdcs cygnus molecular cloud complex aimed characterizing physical condition high mass star formation hmsf pc scale created deg time deg image um dust continuum gas column density dust temperature cygnus spatial relation dense region av developed hii region found indicating impact latter global structure cygnus msun mass threshold implied hmsf signpost identified mdcs size pc mass msun temperature k mdc sample statistically complete cygnus three time larger motte et al mdcs classified ir brightir quiet one based mid infrared flux large ir quiet proportion found sample two possible scenario proposed interpret accelerated hmsf incapability hmsf ir quiet mdcs also found starless mdcs lack compact emission um wavelength massive one probably best candidate initial hmsf site cygnus
| 10
| 1,430,995
|
[
2,
1799,
7107,
1915,
6657,
17222,
385,
4492,
3232,
2030,
2637,
1915,
291,
3182,
14701,
233,
12247,
14376,
13939,
2203,
34,
41,
4817,
3067,
13383,
53,
3067,
3341,
5862,
1799,
2030,
2637,
1915,
3787,
3256,
17222,
2013,
1861,
586,
6287,
4917,
1347,
587,
298,
669,
706,
1564,
8157,
12620,
3232,
680,
4153,
913,
290,
913,
488,
6577,
2963,
3269,
1632,
4677,
784,
2963,
906,
17222,
1325,
893,
2637,
977,
809,
1502,
11318,
977,
1088,
4965,
1485,
2679,
1297,
497,
17222,
8968,
669,
2413,
9755,
8157,
12620,
416,
213,
36,
2807,
3787,
3256,
918,
3232,
669,
8968,
906,
15,
3787,
33,
832,
5273,
1878,
17222,
776,
290,
2076,
6980,
38,
1623,
128,
3787,
3256,
5710,
1533,
3595,
151,
12147,
401,
250,
3683,
3182,
2136,
506,
1533,
12147,
3592,
1088,
832,
312,
1117,
1296,
459,
1441,
4368,
8157,
12620,
18448,
367,
8157,
12620,
1533,
12147,
3787,
3256,
364,
1088,
706,
2112,
3787,
3256,
2532,
1690,
1645,
6577,
3110,
2030,
401,
8942,
1539,
2333,
1352,
8157,
12620,
3032,
17222,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
reconfigurable intelligent surface design channel new opportunity future wireless network paper survey state art research outcome burgeoning field reconfigurable intelligent surface ri view potential significant performance enhancement next generation wireless communication network mean adapting propagation environment emphasis placed several aspect gating commercially viability future network deployment comprehensive summary provided practical hardware design consideration broad implication artificial intelligence technique depth outlook salient aspect system model use case physical layer optimization technique
| 3
| 189,964
|
[
2,
7010,
3826,
854,
618,
1062,
385,
3711,
1387,
2827,
256,
362,
1799,
314,
930,
952,
2890,
2992,
112,
10229,
381,
7010,
3826,
854,
2429,
1541,
801,
779,
473,
3066,
2432,
1356,
2827,
1313,
256,
823,
7080,
2504,
1028,
6515,
6117,
876,
2346,
10138,
12864,
9499,
1387,
256,
3993,
3100,
5209,
2082,
2065,
2813,
618,
3828,
2159,
3041,
2611,
3457,
703,
2220,
13339,
7403,
2346,
214,
142,
508,
516,
1347,
975,
868,
703,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
gamey sensitivity charge sensor silicon qubits one william thompson recent study silicon spin qubits temperature encouraging presentment cool requirement solid state quantum cypher substantially relaxed however qubit readout mechanism rely charge feel single island unmarried electron transistor siset apace lose sensitiveness due thermal broadening negatron dispersion reservoir exploit tunneling two quantised state three fold island set diset demonstrate flush sensing element melioration signal noise order magnitude compared standard siset single shot burster read fidelity bandwidth khz improvement consistent theoretical modelling temperature dependent current transport type set minor additional hardware operating cost sensing element integrated subsist qubit architecture high fidelity charge read kelvin temperature
| 13
| 1,290,073
|
[
2,
1756,
50,
2307,
1682,
1972,
4347,
4266,
401,
14169,
113,
9628,
644,
352,
4347,
740,
4266,
906,
9014,
415,
190,
6205,
2404,
2903,
314,
406,
1254,
6203,
4389,
6747,
627,
2616,
6745,
1112,
3139,
1682,
13715,
782,
7554,
7579,
16903,
524,
1149,
8119,
11521,
77,
146,
228,
11368,
2607,
691,
824,
1609,
8562,
1554,
18624,
3174,
5288,
2208,
5134,
312,
18692,
314,
776,
4088,
7554,
376,
217,
77,
717,
1122,
1001,
2835,
1241,
4793,
1513,
75,
901,
1068,
452,
2227,
985,
974,
11521,
77,
782,
3031,
4150,
59,
3746,
3820,
3987,
9725,
1760,
1460,
1238,
3082,
906,
1521,
845,
1538,
654,
376,
4926,
1854,
2813,
3929,
1103,
2835,
1241,
2764,
16065,
79,
2616,
1091,
298,
3820,
1682,
3746,
10334,
906,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
abelian brane study abelian brane spectrum extract series expansion estrus kernel special determine standardisation coefficient brane conformal anomaly compare solution get computing hadamard minakshisundaram dewitt seeley coefficient local curvature invariant world class find mismatch one unit mismatch due overcounting one zero mode subtracting contribution finally find agreement perform dimensional reduction along singular rotary fiber pentad dimension find conformal anomaly vanishes
| 9
| 1,750,167
|
[
2,
3361,
6520,
352,
3361,
6520,
978,
1890,
1461,
2114,
1205,
5587,
32,
1858,
1846,
1988,
974,
2105,
1624,
6520,
3076,
2595,
1845,
533,
3195,
1617,
9065,
591,
19846,
13041,
2129,
39,
3937,
359,
14653,
2956,
3707,
1624,
619,
2396,
1406,
1258,
463,
696,
5976,
401,
1436,
5976,
824,
887,
4384,
12773,
401,
1362,
1082,
17641,
1688,
1157,
696,
2626,
347,
673,
1843,
1622,
1911,
14929,
403,
3530,
12219,
40,
443,
696,
3076,
2595,
7263,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
proportion photon anisotropic flow relativistic heavy ion collision dependent elliptic triangular flow parameter direct photon known dominate thermal radiation sickness non thermal part dilute photon anisotropic flow adding special exercising weight gene calculation discrepancy experimental photon anisotropic flow data result theoretic model calculation substantially understood still significant development model calculation well experimental analysis display ratio photon likely evident regard minimizing uncertainty arising due non thermal contribution calculate photon function heavy ion collision rhic compare result available experimental data ratio change significantly region gev however acclivity towards smaller gev value ratio found bigger peripheral collision central collision addition found raw initial formation time final freeze temperature different region unlike case case anisotropic flow parameter show photon along upshot may help constraining initial condition
| 16
| 880,548
|
[
2,
3592,
1658,
3644,
928,
2662,
2476,
1710,
1881,
1521,
3250,
5770,
928,
481,
1108,
1658,
886,
8079,
1609,
2463,
7842,
14240,
174,
278,
1609,
1229,
9313,
1658,
3644,
928,
4379,
1846,
8892,
1073,
1152,
5005,
1672,
4487,
982,
1658,
3644,
928,
233,
249,
3423,
142,
1672,
4389,
4001,
1923,
779,
1642,
142,
1672,
529,
982,
494,
3926,
1467,
1658,
3258,
10702,
2475,
4243,
1451,
3659,
824,
278,
1609,
1688,
2967,
1658,
327,
2476,
1710,
1881,
10984,
1845,
249,
1192,
982,
233,
1467,
1173,
1411,
977,
3598,
627,
316,
2117,
3318,
1766,
2723,
3598,
730,
1467,
1088,
11951,
10797,
1881,
1905,
1881,
827,
1088,
4773,
1352,
1564,
290,
2811,
8334,
906,
467,
977,
3564,
516,
516,
3644,
928,
481,
223,
1658,
1622,
8514,
8266,
36,
853,
1967,
6635,
1352,
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
] |
secure interference exploitation precoding miso wiretap channel destructive region redefinition efficient solution paper focus physical layer protection user multiple input single output miso intercept channel presence malicious eavesdropper propose several noise exploitation ie precoding scheme different type eavesdropper specifically case common eavesdropper decodes signal directly eve full channel state information csi available transmitter show require transmit power reduced designing destructive region constellation symbol level precoding formulating power minimization problem study sinr balancing problem derived complete destructive region full statistical even csi respectively show sinr balancing problem becomes non convex statistical eventide csi bridge player comportment smart eavesdropper using maximal likeliness ml detection security cannot ensure existing glide slope end propose random jamming dodging rjs random precoding scheme rps respectively solve introduced convexnon convex problem efficient manner propose iterative algorithm convex one base karush kuhn tucker kkt experimental condition deal non convex one resorting taylor expansion simulation result appearance proposed scheme outperform existing body work secrecy performance proposed algorithm improves computation efficiency significantly
| 3
| 179,826
|
[
2,
4066,
3092,
7563,
8748,
14368,
15851,
1062,
10398,
977,
18903,
790,
533,
362,
1102,
1347,
975,
5438,
881,
849,
983,
782,
1633,
14368,
15275,
1062,
1591,
5878,
10335,
537,
876,
1068,
7563,
1273,
8748,
903,
467,
654,
10335,
1855,
516,
1277,
10335,
10384,
32,
901,
1986,
15390,
1616,
1062,
314,
545,
6183,
1192,
6574,
223,
2115,
3884,
716,
2104,
3918,
10398,
977,
9852,
4778,
712,
8748,
9754,
716,
3848,
304,
352,
12687,
6298,
304,
1712,
1878,
10398,
977,
1616,
1558,
1040,
6183,
1853,
223,
12687,
6298,
304,
2968,
278,
1593,
1558,
1170,
557,
6183,
4579,
3739,
141,
274,
190,
2990,
10335,
291,
3321,
1079,
12449,
32,
2482,
791,
2445,
2343,
3943,
936,
871,
557,
5148,
904,
537,
753,
9108,
15097,
3524,
22,
13415,
753,
8748,
903,
8294,
32,
1853,
1925,
1847,
1593,
12895,
1593,
304,
790,
3061,
537,
3204,
349,
1593,
401,
2533,
9061,
4537,
16949,
12276,
18081,
982,
587,
2951,
278,
1593,
401,
13027,
6640,
2114,
679,
249,
4441,
459,
903,
1494,
936,
1577,
431,
8248,
473,
459,
349,
2587,
1189,
1370,
1411,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
binary classification tryout imperfect standard ambiguous information new binary classification test often evaluated comparative pre established test deterrent example rapid antigen test sleuthing sars cov assessed relative established pcr test paper argue new test described produce equivocal data pre established imperfect allows phenomenon called dilation extreme form non informativeness case present hypothetical trial information satisfying minimum quality requirement speedy antigen test lead dilatation equivocalness information arises missing data problem due imperfectness established test roast distribution truthful infection test resultant role observed using answer copulative theory construct usually non singleton set possible joint distribution allows atomic number new test informativeness analysis lead simple sufficient condition make certain new test dilation illustrate approach application data three covid related test two rapid antigen trial run satisfy sufficient condition easily therefore informative however le accurate procedure like chest ct scan may exhibit dilation
| 18
| 1,597,933
|
[
2,
1446,
920,
5979,
754,
7032,
974,
9959,
545,
385,
1446,
920,
821,
1429,
2702,
5776,
519,
2668,
821,
295,
59,
736,
848,
2522,
2048,
2614,
821,
6233,
3171,
70,
7042,
4452,
7088,
1946,
2668,
15209,
821,
362,
3475,
385,
821,
2422,
1990,
1473,
3228,
233,
519,
2668,
7032,
1191,
1981,
1357,
9831,
3203,
337,
278,
17515,
516,
415,
10134,
4964,
545,
4321,
2151,
1320,
2404,
1691,
50,
2048,
2614,
821,
840,
14815,
75,
1473,
3228,
691,
545,
4530,
3550,
233,
304,
824,
7032,
691,
2668,
821,
1637,
550,
555,
14224,
4745,
821,
9423,
1574,
1059,
291,
2874,
8477,
154,
476,
1244,
2755,
278,
16545,
376,
1117,
1776,
555,
1191,
2671,
486,
385,
821,
17515,
494,
840,
1004,
1883,
587,
1225,
1452,
385,
821,
9831,
2495,
338,
542,
233,
776,
2222,
1264,
821,
312,
2522,
2048,
2614,
4964,
1769,
3664,
1883,
587,
3112,
1840,
5679,
627,
275,
1677,
1898,
1079,
6632,
3276,
4245,
853,
1835,
9831,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
limit deepfake detection robust estimation viewpoint deepfake detection formulated hypothesis testing problem classify image genuine gan generated robust statistic view gans considered bound error probability various gan implementation term performance bound simplified using euclidean approximation low error regime lastly relationship error probability epidemic threshold spreading process network established
| 0
| 43,363
|
[
2,
625,
13402,
791,
872,
1083,
5844,
13402,
791,
4117,
2765,
2248,
304,
3873,
488,
8750,
2732,
1472,
872,
2196,
1541,
4743,
1657,
451,
857,
1158,
1002,
2732,
1797,
612,
473,
451,
4980,
291,
3597,
1056,
485,
857,
1526,
6952,
2175,
857,
1158,
4450,
2413,
5498,
455,
256,
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
] |
deep ice mystifying learnedness approach mri intracranial caries extraction automatic method measuring normalized regional brain volume mri data key shaft help objective symptomatic follow many neurologic disease estimate regional brain volume intracranial caries volume commonly use normalization paper present accurate efficient feeler automatically section intracranial bodily cavity using volumetric convolutional neural network new patch origin strategy peculiarly adjust deal traditional low number education case available oversee segmentation memory limit modern gpus proposed method compared recent country art method acting result show excellent accuracy meliorate performance terminus computational burden
| 3
| 162,613
|
[
2,
562,
4724,
4495,
79,
4005,
2316,
691,
338,
4346,
9501,
8168,
300,
884,
724,
3059,
1816,
210,
3835,
5067,
8142,
2773,
2116,
4346,
233,
1231,
19128,
36,
1967,
1715,
8283,
593,
1316,
731,
4957,
8131,
72,
2622,
999,
8142,
2773,
2116,
9501,
8168,
300,
884,
724,
2116,
3147,
508,
4991,
362,
415,
1677,
790,
13715,
59,
3155,
2524,
9501,
8168,
300,
19371,
1141,
3057,
291,
8230,
1747,
549,
256,
385,
4136,
2093,
1168,
7169,
97,
3922,
2951,
2239,
485,
486,
7150,
516,
1192,
8467,
1809,
1721,
1581,
625,
2939,
7280,
459,
210,
985,
644,
4299,
930,
210,
5136,
249,
223,
4254,
865,
4793,
1513,
103,
473,
8606,
183,
1259,
7420,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
time series analytic thinking electricity price demand find cyber blast utilise stationary depth psychology developing computation tool last year data depth psychology method find insightful information becoming vulgar among industriousness researcher newspaper first role prison term series analysis new england electricity mary leontyne price demand regain anomaly data point paper time series stationary criterion set data time series related analysis investigated three main analysis conducted paper include go fair moving standard deviation augmented dicky full test data used paper unexampled england braggart information different operational zone zone different varying including day ahead da electrical energy demand price real time rt electricity requirement price consider
| 3
| 117,266
|
[
2,
290,
1461,
2354,
11259,
6433,
3377,
2649,
696,
4272,
14862,
14904,
2794,
2220,
11872,
3533,
1189,
1242,
2787,
1821,
233,
2220,
11872,
210,
696,
14108,
545,
5733,
3801,
4462,
34,
1509,
4513,
118,
211,
691,
3425,
19675,
499,
1574,
16663,
612,
1461,
494,
385,
1561,
4909,
6433,
3439,
50,
18966,
351,
243,
3377,
2649,
356,
177,
2595,
233,
563,
362,
290,
1461,
2794,
2437,
376,
233,
290,
1461,
1264,
494,
2497,
776,
925,
494,
3341,
362,
2373,
902,
2635,
3354,
974,
3279,
4420,
9340,
4395,
1616,
821,
233,
522,
362,
4790,
10469,
1561,
4909,
11658,
1908,
545,
467,
4927,
4474,
4474,
467,
2566,
995,
3040,
8155,
3735,
4188,
470,
2649,
3377,
495,
290,
6644,
6433,
2404,
3377,
520,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
izzard boson production pb collision tev pb pb hit tev measurement boson yield pb collision tev pb pb hit tev reported performed dimuon decay channel detective work negative muon pseudorapidity gev testing ground frame invariant yield nuclear modification gene measured opposite sign dimuons changeless mint gev rapidity presented function rapidity pb pb collision centrality well result compared theoretic calculation without atomic modification parton distribution function pdfs pb collision center mass frame advance respect laboratory frame measurement cover rearward forward quickness region pb collision result consistent within experimental theoretical uncertainty calculation include devoid nucleon nuclear modify pdfs pb pb hit deviation seen integrated production datum calculation based free nucleon pdfs good agreement found nuclear alteration considered
| 17
| 382,344
|
[
2,
13,
3704,
330,
2986,
2155,
3727,
1881,
4210,
3727,
3727,
6889,
4210,
852,
2986,
1718,
3727,
1881,
4210,
3727,
3727,
6889,
4210,
2987,
2183,
430,
9809,
39,
1552,
1062,
2106,
647,
431,
2221,
4795,
17057,
3598,
2248,
1636,
534,
1406,
1718,
2461,
3397,
5005,
2205,
5446,
416,
430,
9809,
2758,
1173,
2112,
591,
36,
3598,
8807,
1588,
327,
8807,
3727,
3727,
1881,
6663,
529,
249,
985,
3423,
1672,
973,
2671,
3397,
5905,
555,
327,
9805,
3727,
1881,
2231,
669,
534,
2722,
1785,
4902,
534,
852,
2192,
8878,
1221,
2699,
4189,
691,
977,
3727,
1881,
249,
1460,
992,
982,
1238,
1451,
1672,
2373,
1032,
1336,
4376,
2461,
6228,
9805,
3727,
3727,
6889,
3279,
3214,
2764,
2155,
14366,
1672,
250,
965,
4376,
9805,
1860,
2626,
1088,
2461,
11635,
1657,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
finite mass energy shift three pion ground state use theoretical account relativistic effectual sphere theory finite loudness ground country energy faulting calculated including system trinity pi meson channel total isospin relativistic correction included perturbatively parliamentary procedure opposite box sizing get explicit reflexion unitedly known result organization upper limit isospin employ descent ii independent efficacious three body coupling measured ground nation spectrum threesome pion
| 19
| 429,829
|
[
2,
834,
669,
470,
2339,
776,
4722,
1636,
314,
508,
1238,
1948,
2662,
610,
399,
3018,
476,
834,
12303,
691,
1636,
4299,
470,
3931,
70,
3282,
995,
214,
1495,
450,
351,
3479,
4073,
1062,
1876,
9042,
2662,
2303,
4707,
11743,
165,
2117,
1391,
252,
1898,
5446,
2768,
17831,
3195,
1359,
11605,
287,
8367,
97,
886,
249,
4770,
2054,
625,
9042,
1550,
3095,
1465,
1312,
4734,
84,
3246,
776,
1577,
1183,
2205,
1636,
12415,
978,
776,
339,
9811,
4722,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
kpc scale fe emission compton thin seyfert galaxy ngc resolved chandra present chandra imaging spectral observation seyfert galaxy ngc three extended ray structure around nucleus kpc scale well imaged allowing depth spatially resolved study extended hard continuum fe line show similar morphology consistent scenario ionizing emission nucleus reprocessed circumnuclear cold gas resulting weak reflection continuum associated neutral fe line seen compton thick active galactic nucleus agn ngc one rare case lower column density cm along line sight significant difference equivalent width fe emission line found nuclear extended region could ascribed different column density scattering angle respect line sight rather variation iron abundance north east west extended structure aligned galactic disk dust lane hst map located peak molecular gas distribution morphology implies kpc scale radio outflow may compressed interstellar gas produced clump working reflector enhance line emission using oiv emission proxy agn intrinsic luminosity find extended fe emission reflection continuum linearly correlated oiv luminosity indicating connection agn extended emission
| 10
| 1,448,771
|
[
2,
6054,
680,
412,
1645,
7552,
2840,
12920,
1243,
5266,
3627,
9669,
415,
9669,
1909,
1253,
972,
12920,
1243,
5266,
776,
1979,
1245,
497,
1926,
2993,
6054,
680,
529,
10872,
2936,
2220,
3689,
3627,
352,
1979,
1361,
3269,
412,
1175,
223,
960,
4877,
1460,
1296,
11204,
1645,
2993,
19049,
64,
4037,
18936,
3949,
1632,
1748,
1207,
3910,
3269,
1187,
3856,
412,
1175,
3214,
7552,
3407,
1894,
3049,
2993,
4540,
5266,
401,
4354,
516,
1262,
4677,
784,
2090,
1622,
1175,
6057,
779,
1608,
2514,
3191,
412,
1645,
1175,
1088,
2461,
1979,
977,
1499,
16644,
467,
4677,
784,
1661,
2228,
1785,
1175,
6057,
2728,
1929,
6277,
3436,
6488,
9879,
11782,
1979,
497,
5277,
3049,
2156,
2963,
6689,
9252,
813,
4710,
2596,
2013,
1632,
555,
4877,
3503,
6054,
680,
2193,
4879,
853,
4959,
5787,
1632,
2943,
7107,
4442,
13370,
2158,
1175,
1645,
291,
19456,
46,
1645,
6301,
4540,
2996,
3336,
696,
1979,
412,
1645,
3910,
3269,
4324,
2842,
19456,
46,
3336,
4965,
1960,
4540,
1979,
1645,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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 spatial pattern coexistence specie copious plant community statistical physic proved essential analyze multi factor environment propel empirical observation various non equilibrium characteristic barro colorado bionomical organisation analyze plant specie copiousness model gift analytical evidence musical scale invariant plant cluster non superficial emergent modular correlation first theoretical verification scale invariant area based infiltration appendage reproduces cardinal actual ecological ecosystem confer stable equilibrium ecosystem vast biodiversity
| 5
| 1,089,210
|
[
2,
4875,
1325,
1412,
7510,
3527,
4397,
3246,
5365,
2257,
1558,
1422,
3145,
2691,
1849,
329,
955,
1028,
1519,
73,
2124,
972,
1002,
278,
1726,
1548,
2590,
71,
2802,
15641,
6101,
7541,
14690,
4134,
12925,
1849,
5365,
3527,
4397,
3246,
691,
142,
11224,
566,
2428,
2188,
8482,
680,
1406,
5365,
878,
278,
18123,
2225,
4875,
3369,
1138,
499,
1238,
3645,
680,
1406,
1589,
250,
18124,
7546,
7055,
39,
3937,
112,
7863,
11268,
4639,
10322,
7470,
15548,
1834,
1726,
7470,
5563,
17888,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
much income inequality much purport extremely conventional economic model case wage inequality lead higher overall social upbeat due fact high pitched earner consume low productivity substantive product allows everybody remain employed still productivity substantive good high producing require everybody piece work derive coition heterogeneity technology minimum gini coefficient demand maximize global wellbeing stronger inequality seem economically unjustified model may shed light headed role non essential good economy topical issue thinking post covid world
| 15
| 1,146,107
|
[
2,
1804,
8757,
2281,
1804,
1739,
379,
3611,
2172,
4252,
142,
516,
17586,
2281,
840,
1084,
2612,
1794,
862,
16452,
824,
769,
298,
7700,
64,
1381,
1162,
13625,
485,
9946,
2877,
98,
1568,
1191,
1933,
9268,
1692,
3231,
1923,
9946,
2877,
98,
1860,
298,
5022,
2115,
1933,
9268,
6429,
431,
1527,
235,
2053,
4989,
1958,
2151,
18467,
1624,
2649,
4460,
1297,
529,
4792,
70,
4631,
2281,
4156,
16591,
171,
55,
366,
1204,
142,
853,
5066,
1003,
4184,
64,
1574,
278,
2691,
1860,
7502,
15142,
1737,
11259,
1717,
2222,
1258,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
hero rayleigh resolution incoherent reservoir array homodyning conventional incoherent project based measuring spatial intensity distribution image aeroplane boldness resolution hurdle account rayleigh diffraction standard demonstrate theoretically using concept black cat information quadrature statistic measured mean regalia homodyne detection enable estimation space two incoherent point beginning well rayleigh limit sufficiently high signal noise ratio capability attributed availability spatial coherence information individual sensing element picture element acquired using coherent detection technique simple analytical approximation precision attainable sub rayleigh region presented furthermore estimation algorithm purport applied monte carlo simulated datum
| 13
| 1,262,379
|
[
2,
6733,
35,
7041,
1378,
8398,
5288,
2455,
16747,
7597,
1999,
2172,
8398,
2487,
250,
3835,
1325,
2947,
555,
488,
18860,
8509,
8716,
40,
691,
1378,
14852,
1948,
7041,
4892,
974,
717,
3470,
291,
1546,
1161,
2714,
545,
7063,
2196,
2205,
823,
356,
9695,
42,
17622,
791,
2769,
1083,
410,
312,
8398,
563,
7877,
529,
7041,
625,
3566,
298,
901,
1068,
1467,
2459,
5762,
5122,
1325,
3684,
545,
1570,
2835,
1241,
4199,
1241,
5687,
291,
2609,
791,
703,
1004,
2428,
1056,
2235,
13159,
389,
7041,
977,
1588,
1518,
1083,
349,
1739,
379,
1261,
2545,
2565,
2803,
14366,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
flux subway intercellular substance bootstrap bootstrap terra firma meat massless particle unitary relativistic deuce dimensional quantum field hypothesis find low energy elaboration ground substance powerfully tighten existence uv completion context flux tube physic allow constrain several terminal figure matrix low energy expansion equivalently wilson coefficient various irrelevant operator showing flux thermionic tube effective action bound unmediated implication physical quantity instance allow restrain ground state department vim well level splitting riotous vigour level large flux negatron tube find matrix life boundary allowed space exhibit intricate pattern reverberance peerless conniving reverberance whose quantum number mass width precisely mankind sheet axion proposed oecumenical method acting purpose extendible massless intercellular message higher dimension lead young quantitative leaping irrelevant operator possibility goldstone also gauge gravity hypothesis
| 19
| 429,662
|
[
2,
2136,
389,
1873,
19262,
9590,
13687,
5469,
5469,
13750,
42,
6842,
42,
303,
67,
5389,
836,
3673,
2662,
139,
589,
673,
406,
381,
2765,
696,
485,
470,
7207,
75,
1636,
13687,
3039,
97,
3342,
62,
1666,
4095,
4240,
1115,
2136,
6075,
1422,
735,
739,
876,
6120,
7547,
766,
485,
470,
2114,
7952,
6598,
1624,
1002,
8369,
941,
2705,
2136,
996,
11601,
6075,
1013,
1274,
451,
7579,
6999,
861,
3041,
1347,
2797,
2086,
735,
1620,
263,
1636,
314,
13276,
686,
53,
529,
712,
3586,
2429,
7946,
183,
15486,
371,
712,
506,
2136,
1554,
18624,
6075,
696,
766,
2434,
1107,
4092,
410,
1835,
9793,
1412,
15480,
189,
5942,
2112,
923,
5378,
15480,
189,
1857,
406,
486,
669,
3191,
3800,
398,
3804,
40,
5574,
3696,
459,
18863,
33,
1971,
14064,
61,
210,
5136,
2676,
971,
1310,
5389,
19262,
9590,
3525,
1084,
443,
840,
4332,
2847,
14092,
70,
8369,
941,
2851,
9288,
364,
2036,
1870,
2765,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
numerical issue light bound department state supersymmetric su yang mill theory strong arm subatomic particle supersymmetric yang mill hypothesis sym jump body politic gluon gluinos determined mass light edge state su sym simulation cover reach dissimilar lattice space first clock time allows extrapolation continuum limit point result show formation supermultiplet bound state provides clear primer coat unbroken supersymmetry
| 19
| 427,125
|
[
2,
869,
1737,
1003,
451,
13276,
314,
5400,
158,
4662,
2427,
476,
788,
3528,
389,
8376,
836,
5400,
4662,
2427,
2765,
2217,
4588,
1577,
19633,
4679,
4083,
13852,
2526,
669,
1003,
1226,
314,
158,
2217,
679,
2192,
2123,
9222,
1276,
410,
499,
5385,
290,
1191,
7256,
3269,
625,
563,
249,
223,
1564,
6360,
8916,
968,
451,
314,
1220,
2905,
3877,
34,
235,
67,
16412,
7568,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
light yield perovskite nanocrystal doped liquid scintillator future generation liquid scintillator neutrino experiment require stably loading ton candidate isotope kiloton scale detector representing significant chemical challenge nanoparticles containing candidate isotope provide promising method loading additionally unique optical property nanoparticles enhance detection background discrimination perovskite nanocrystals particularly attractive due reliability crystal structure easily scalable synthesis present first study lead based perovskite nanocrystals application
| 2
| 1,452,528
|
[
2,
1003,
1718,
7768,
6927,
13201,
5212,
2493,
11096,
1387,
1356,
2493,
11096,
2018,
427,
2115,
11568,
7244,
12438,
2333,
7456,
7457,
11409,
680,
1787,
4491,
779,
2531,
1136,
6425,
3438,
2333,
7456,
693,
2312,
210,
7244,
2964,
2326,
1195,
559,
6425,
2158,
791,
1919,
6250,
7768,
13647,
2779,
4825,
824,
4003,
2375,
497,
3112,
3491,
2994,
415,
499,
352,
840,
250,
7768,
13647,
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
] |
hardness identity testing restricted boltzmann machine potts model study identity testing restricted boltzmann machine rbms generally undirected graphical model given sample access gibbs distribution corresponding unknown hidden model given explicit model distinguish either statistically far apart daskalakis et al presented polynomial time algorithm identity testing ferromagnetic attractive ising model contrast antiferromagnetic repulsive ising model bezakova et al proved unless identity testing algorithm maximum degree visible graph largest edge weight absolute value prove analogous hardness result rbms ie mixed ising model bipartite graph even latent variable external field specifically show polynomial time algorithm identity testing rbms efficient identity testing algorithm utilizes structure learning algorithm klivans meka addition prove similar lower bound purely ferromagnetic rbms inconsistent external field ferromagnetic potts model previous hardness result identity testing bezakova et al utilized hardness finding maximum cut corresponds ground state antiferromagnetic ising model since rbms bipartite graph approach feasible instead introduce general methodology reduce corresponding approximate counting problem utilize phase transition exhibited rbms mean field potts model
| 0
| 81,914
|
[
2,
6643,
3199,
2248,
3722,
4814,
825,
11399,
142,
352,
3199,
2248,
3722,
4814,
825,
12939,
32,
2946,
8416,
5082,
142,
812,
832,
2083,
5826,
555,
1309,
2411,
3084,
142,
812,
1359,
142,
3152,
1896,
5273,
2209,
7000,
3735,
2238,
17012,
8100,
32,
1623,
128,
1588,
1372,
290,
349,
3199,
2248,
4572,
4825,
4308,
142,
2070,
5105,
7181,
4308,
142,
16290,
9404,
42,
1623,
128,
3145,
8280,
3199,
2248,
349,
1749,
1402,
4670,
471,
4085,
1226,
1152,
3999,
730,
900,
4564,
6643,
249,
12939,
32,
1273,
2519,
4308,
142,
5002,
471,
1040,
2254,
1089,
2513,
381,
1855,
223,
1372,
290,
349,
3199,
2248,
12939,
32,
790,
3199,
2248,
349,
5218,
497,
285,
349,
7115,
19900,
32,
303,
6214,
827,
900,
960,
1262,
451,
4641,
4572,
12939,
32,
7785,
2513,
381,
4572,
11399,
142,
912,
6643,
249,
3199,
2248,
16290,
9404,
42,
1623,
128,
4583,
6643,
1545,
1749,
3096,
4490,
1636,
314,
5105,
4308,
142,
1784,
12939,
32,
5002,
471,
338,
4138,
2464,
1077,
421,
2530,
2068,
1309,
2148,
4183,
304,
3951,
584,
908,
8529,
12939,
32,
823,
381,
11399,
142,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
automatically differentiable random coefficient logistic need estimation show random coefficient logistic need blp model phrased automatically differentiable moment function including incorporation numeric safeguard proposed lit allows gradient based frequentist quasi bayesian estimation using continuously update calculator cue stick drawing simple machine learning literature outline hitherto utilised best practice session frequentist bayesian estimation technique monte carlo experimentation compare execution cue gmm lte estimation preliminary finding indicate cue estimated use lte frequentist optimization lower diagonal higher mae compared traditional stage gmm gmm approach path also find using credible musical interval mcmc try non linear parameter together frequentist analytical standard error concentrate linear parameter provide empirical reportage closest nominal level accompanying admest python software program provides platform replication extensibility
| 18
| 1,616,462
|
[
2,
3155,
4517,
753,
1624,
5607,
1142,
1083,
223,
753,
1624,
5607,
1142,
604,
44,
142,
8585,
40,
3155,
4517,
1147,
327,
995,
9804,
12380,
19795,
459,
18818,
1191,
1154,
250,
11941,
2119,
1920,
1083,
291,
5333,
2793,
897,
2127,
6861,
13419,
6514,
1004,
825,
285,
1810,
6030,
12235,
16800,
1539,
2686,
6913,
11941,
1920,
1083,
703,
2545,
2565,
9341,
1845,
4021,
6861,
11321,
10369,
1083,
5260,
1545,
2941,
6861,
2923,
508,
10369,
11941,
868,
1262,
3958,
1084,
14011,
985,
2239,
2031,
11321,
11321,
338,
1324,
364,
696,
291,
11863,
8482,
2743,
6243,
5979,
278,
617,
481,
2556,
11941,
2428,
974,
857,
8844,
617,
481,
693,
2124,
1439,
215,
9135,
7837,
712,
10343,
4756,
286,
5437,
2255,
1349,
1220,
2145,
9299,
368,
16645,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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 recognition discrete selection mannikin study impact weak identification distinct option manakin provide insight determinant recognition effectiveness example use insight propose novel trial run consistently detect weak identification normally applied distinct choice model probit logit many extension furthermore demonstrate null hypothesis weak identification rule wald establish illation carried using standard pattern critical value four card monte carlo study compare proposed try approach path commonly hold weak identification trial result simultaneously demonstrate good performance approach fundamental failure using conventional weak designation test one dimensional model discrete choice model context furthermore equate approach commonly applied literature two empirical example married woman confinement force participation food economic aid civil conflict
| 18
| 1,612,868
|
[
2,
1207,
1745,
1596,
1869,
17875,
3936,
60,
352,
1485,
1207,
2450,
2770,
4322,
398,
11046,
39,
693,
2251,
5031,
1745,
2059,
848,
508,
2251,
537,
758,
4964,
1769,
4408,
2106,
1207,
2450,
9111,
1261,
2770,
2273,
142,
708,
76,
12621,
731,
1900,
1518,
717,
4040,
2765,
1207,
2450,
2046,
14397,
1227,
3229,
75,
3862,
291,
974,
1412,
1166,
730,
1249,
4973,
2545,
2565,
352,
1845,
459,
5979,
338,
1324,
3147,
2660,
1207,
2450,
4964,
249,
2581,
717,
1860,
473,
338,
1708,
3631,
291,
2172,
1207,
618,
75,
821,
401,
673,
142,
1596,
2273,
142,
1115,
1518,
344,
103,
338,
3147,
1261,
1810,
312,
2124,
848,
3439,
3440,
9665,
5301,
2058,
9069,
7289,
4252,
5547,
11666,
6962,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
efficient demultiplexed single photon source quantum dot coupled nanophotonic waveguide planar nanostructures let near ideal descent emanation quantum emitter embed within thereby realise deterministic single photon source source transformed single photon source implement combat ready temporal spacial mode demultiplexing account realization demultiplexed source base quantum dot embedded nanophotonic waveguide efficient outcoupling waveguide single mode optical fiber obtained high efficiency grating coupler proof concept active demultiplexing spatial channel demonstrated usance electro ocular modulators end end efficiency single mode fiber overall establish four photon coincidence charge per unit hz even non resonant fervor quantum dot main limitation current generator residual population exciton transition check finite preparation efficiency desire transition quantitatively extract preparation efficiency practice nd order correlation function measurement experiment highlight pertinency planar nanostructures efficient multiphoton source temporal spatial demultiplexing lay clear path way scale towards demonstrating quantum advantage quantum dot source
| 13
| 1,225,637
|
[
2,
790,
465,
8916,
6709,
64,
782,
1658,
829,
406,
4463,
1828,
10054,
4974,
3460,
8536,
2122,
1027,
2653,
3095,
15821,
75,
406,
5674,
1092,
992,
3719,
16697,
3022,
782,
1658,
829,
829,
6073,
782,
1658,
829,
1795,
11337,
11023,
1675,
5291,
300,
1082,
465,
8916,
6709,
70,
1948,
3661,
465,
8916,
6709,
64,
829,
2533,
406,
4463,
3141,
10054,
4974,
790,
581,
4384,
436,
1233,
4974,
782,
1082,
1195,
3530,
970,
298,
1370,
8677,
13972,
1689,
1546,
1894,
465,
8916,
6709,
70,
1325,
1062,
2327,
13880,
15843,
38,
1522,
8608,
276,
15460,
904,
904,
1370,
782,
1082,
3530,
2612,
1227,
1249,
1658,
9730,
1682,
184,
1436,
6992,
1040,
278,
3809,
2740,
19034,
406,
4463,
925,
2753,
845,
2896,
3278,
1719,
5564,
908,
3944,
834,
7163,
1370,
13245,
908,
5223,
1890,
7163,
1370,
2686,
5948,
452,
1138,
327,
852,
427,
3025,
12141,
479,
3460,
8536,
790,
16186,
829,
1675,
1325,
465,
8916,
6709,
70,
5206,
2905,
1324,
1024,
680,
1766,
4648,
406,
2051,
406,
4463,
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,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
non abelian gauge theory composite field background field method non abelian gauge theory composite field examined background field method generating functionals green function yang mill theory composite background field introduced including generating functional vertex green function effective action corresponding ward identity obtained issue gauge dependence investigated gauge variation effective action found term nilpotent operator depending composite background field shell independence choice gauge fixing effective action established study ward identity gauge dependence finite field dependent brst transformation background field introduced utilized systematic basis one hand involves consideration modified ward identity field dependent anticommuting parameter also depending non trivial background hand issue gauge dependence studied reference finite variation gauge fermion concept joint introduction composite background field non abelian gauge theory exemplified gribov zwanziger theory volovich katanaev model two dimensional gravity dynamical torsion
| 11
| 220,439
|
[
2,
278,
3361,
2036,
476,
4186,
381,
1919,
381,
210,
278,
3361,
2036,
476,
4186,
381,
5395,
1919,
381,
210,
2559,
5379,
4112,
327,
4662,
2427,
476,
4186,
1919,
381,
1847,
995,
2559,
1653,
1949,
4112,
327,
1013,
1274,
1309,
11422,
3199,
970,
1737,
2036,
1991,
2497,
2036,
1929,
1013,
1274,
1088,
612,
7494,
941,
3054,
4186,
1919,
381,
3583,
5000,
2273,
2036,
8896,
1013,
1274,
2668,
352,
11422,
3199,
2036,
1991,
834,
381,
1521,
13919,
2081,
1919,
381,
1847,
4583,
2202,
2272,
401,
1333,
3806,
3828,
2741,
11422,
3199,
381,
1521,
5471,
1713,
4178,
481,
364,
3054,
278,
2867,
1919,
1333,
1737,
2036,
1991,
1590,
2796,
834,
1929,
2036,
2306,
1546,
1776,
4585,
4186,
1919,
381,
278,
3361,
2036,
476,
14713,
9259,
2697,
46,
12249,
14526,
8958,
476,
1301,
10221,
14356,
4431,
846,
142,
312,
673,
1870,
1602,
4937,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
rigidness non rigidity uniform rattled lattice point mental process topological space countable subset without random aggregation degree subject point process problem envision property rigidity tolerance problem studied actively recent year let flustered lattice latticework perturbed independent identically random varying deal economic value regarding gaussian perturbed lattice peres sly showed exist phase transition respect rigidness tolerance recent newspaper paper random variable follow uniform distribution show mutually absolute persistence measure without one tip original measure restricted set place point process likewise consequence appearance random variable follow uniform distribution phase transition related allowance pick
| 8
| 639,898
|
[
2,
3754,
691,
278,
6513,
1888,
10669,
15721,
40,
1276,
563,
7896,
455,
1178,
410,
7954,
2553,
973,
753,
4284,
1402,
2315,
563,
455,
304,
9817,
559,
6513,
7369,
304,
1590,
8057,
644,
1821,
2122,
1122,
17989,
40,
1276,
1276,
192,
5306,
1312,
8828,
753,
2566,
2951,
4252,
730,
3880,
1476,
5306,
1276,
184,
69,
1450,
50,
3568,
991,
584,
908,
1785,
3754,
691,
7369,
644,
19675,
362,
753,
1089,
1316,
1888,
555,
223,
8015,
3999,
6436,
949,
973,
401,
6506,
2167,
949,
3722,
376,
3249,
563,
455,
13459,
2736,
4441,
753,
1089,
1316,
1888,
555,
584,
908,
1264,
735,
189,
7669,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
emerging world revisited csl hypothesis work analyze spectrum primordial scalar disturbance qualify within emerging universe scenario particular version uninterrupted spontaneous localization csl model incorporate beget mechanic initial curvature perturbation providing also explanation quantum classical transition perturbation hand phase super ostentation prior slow paradiddle inflation characteristic lineament emergent universe hypothesis late body work shown super inflation phase could generically induce suppression temperature anisotropy cmb declamatory angular graduated table study experimental condition csl maintains modifies characteristic emergent universe compatibility cmb observance
| 11
| 256,565
|
[
2,
3675,
1258,
8490,
18565,
2765,
431,
1849,
978,
4543,
1631,
5302,
3190,
2451,
992,
3675,
2690,
1296,
756,
1904,
12300,
59,
8475,
64,
4063,
2534,
18565,
142,
4268,
4051,
77,
3378,
1352,
2396,
1723,
2494,
364,
2961,
406,
1070,
908,
1723,
1333,
584,
477,
17755,
39,
3477,
63,
1388,
2563,
2786,
127,
4377,
3109,
1548,
1175,
1391,
4875,
2690,
2765,
4482,
1577,
431,
1186,
477,
3109,
584,
1499,
7774,
5048,
5323,
906,
3703,
4940,
9726,
8034,
6002,
50,
2669,
15332,
40,
4436,
352,
982,
587,
18565,
8834,
10443,
1548,
4875,
2690,
6826,
4940,
474,
189,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
uniformization constructive analytic continuation president taylor serial analyze problem global reconstruction period function accurately possible based partial information form truncated power series dot extra analyticity property within class function analytic common bernhard riemann open omega common pace growth common maclaurin polynomial prove optimality result reconstruction arbitrary point omega find procedure attain procedure u uniformization theorem optimal reconstruction error depend conformal distance origin priori noesis omega strictly available function often encountered analysis solution meromomorphic ode class pdes also available rigorously conjecturally based numerical evidence perturbative expansion quantum mechanic statistical physic quantum field theory area physic subclass function provide optimal procedure explicitly include borel transforms linear special function construct closed form uniformization map optimal procedure borel plane nonlinear special function tronquee solution painleve equation pi pv latter covering cz curve fixed origin modulo homotopies obtain uniformization map speedily convergent bound composition elementary map given information function available ubiquitous class resurgent social function significantly better approximation possible construct particular chosen single singularity eliminated specific linear hustler introduce local structure chosen singularity obtain hunky dory detail
| 9
| 1,652,431
|
[
2,
18130,
7754,
2354,
6859,
863,
3785,
6640,
9765,
1849,
304,
1297,
2017,
1278,
327,
3236,
1117,
250,
2170,
545,
337,
6156,
716,
1461,
4463,
2818,
12553,
559,
992,
463,
327,
2354,
1277,
5485,
13713,
4728,
1090,
10038,
1277,
13952,
2084,
1277,
2789,
7086,
11939,
39,
1372,
900,
4465,
249,
2017,
1891,
563,
10038,
696,
1898,
4584,
1898,
25,
18130,
1396,
819,
2017,
857,
626,
3076,
1193,
2093,
5325,
407,
1456,
10038,
5036,
1192,
327,
1429,
7303,
494,
533,
4309,
85,
3181,
5802,
463,
5346,
364,
1192,
6968,
19440,
250,
869,
2188,
4011,
2114,
406,
3378,
1558,
1422,
406,
381,
476,
1589,
1422,
8567,
327,
693,
819,
1898,
2706,
2373,
7555,
5569,
617,
1846,
327,
1244,
2064,
337,
18130,
813,
819,
1898,
7555,
1954,
1144,
1846,
327,
9017,
39,
5513,
533,
10043,
552,
3479,
7448,
2679,
4367,
13008,
1684,
1650,
2093,
7599,
15565,
724,
575,
18130,
813,
1691,
1141,
7083,
451,
2684,
4788,
813,
812,
545,
327,
1192,
5459,
463,
12987,
10412,
1794,
327,
1411,
1251,
1056,
1117,
1244,
756,
3966,
782,
3012,
12113,
1255,
617,
19870,
15721,
34,
1077,
619,
497,
3966,
3012,
575,
4283,
39,
4395,
15505,
50,
1639,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
roberge wei dynasty dynasty periodicity canonical sector modified polyakov loop find thick understanding qcd dimension finite temperature consider fourier decomposition marvellous canonic segmentation affair based basic ensemble method via imaginary chemical potential expected value value exemplify sum canonical sphere point modified polyakov loop play meaning single valued function canonical ensemble example polyakov grummet paradox know canonical ensemble method doll considering measure humanitarian free base cyclicity issuing modified polyakov close circuit finite notional chemical potential construct systematic agency compute threefold quark condensation secure unclearness foundation mien dynamical quark cheese far
| 19
| 465,946
|
[
2,
621,
3493,
11655,
10844,
550,
50,
10844,
550,
50,
7759,
3173,
3364,
2741,
12812,
1984,
696,
3407,
1543,
3072,
443,
834,
906,
520,
3287,
2246,
3439,
187,
1630,
183,
2774,
755,
1721,
1383,
3904,
250,
2919,
2186,
210,
864,
6392,
2531,
801,
1945,
730,
730,
13000,
1327,
3173,
3018,
563,
2741,
12812,
1984,
1973,
3351,
782,
3400,
327,
3173,
2186,
848,
12812,
11625,
564,
77,
7773,
567,
3173,
2186,
210,
14239,
43,
2462,
949,
1047,
13774,
965,
2533,
4673,
104,
1707,
10540,
2741,
12812,
2247,
2453,
834,
2245,
61,
2531,
801,
1244,
2202,
10037,
1893,
12192,
2269,
6657,
4066,
7044,
691,
4933,
15759,
39,
1602,
2269,
6672,
3953,
2209,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
non newtonian topological mechanical metamaterials using feedback control introduce method design topological mechanical metamaterials constrained newtonian dynamic unit cell mechanical lattice subjected active feedback force processed autonomous controller pre programmed generate desired local response real time example focus quantum haldane model two band system directional complex coupling term violating newton third law demonstrate required topological phase characterized chiral edge mode achieved analogous mechanical system closed loop control show approach enables realize first time modified version haldane model mechanical metamaterial complex valued coupling polarized way mode opposite edge lattice propagate direction balanced counter propagating diffusive bulk mode proposed method general flexible could used realize arbitrary lattice parameter non local nonlinear coupling time dependent potential non hermitian dynamic single platform
| 4
| 1,489,077
|
[
2,
278,
5978,
1178,
3028,
9198,
291,
2349,
561,
1077,
210,
618,
1178,
3028,
9198,
2421,
5978,
565,
1436,
1395,
3028,
1276,
8420,
1894,
2349,
2058,
6571,
2615,
2854,
519,
16254,
1941,
3547,
619,
1601,
495,
290,
848,
1102,
406,
13585,
142,
312,
1075,
214,
5633,
586,
1183,
612,
6383,
4486,
3065,
1746,
717,
2089,
1178,
584,
3046,
2687,
1226,
1082,
2002,
4564,
3028,
214,
2064,
1984,
561,
223,
338,
2296,
4919,
499,
290,
2741,
1904,
13585,
142,
3028,
7250,
586,
3400,
1183,
4062,
1024,
1082,
5446,
1226,
1276,
7361,
1562,
5086,
2091,
5657,
6267,
2564,
1082,
459,
210,
421,
3322,
1499,
522,
4919,
1891,
1276,
481,
278,
619,
1144,
1183,
290,
1521,
801,
278,
3692,
565,
782,
2145,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
chiral magnetic effect chiral spin symmetry qcd tc chiral magnetised effect cme exact instruction connects via axial unusual person electric current system rule consisting interacting fermion bore champaign chirality imbalance put strong outside magnetized field experimental search magnetically induced current qcd heavy ion collision pseudocritical temperature hint though yet conclusive induced current either low vanishing would imply chirality asymmetry quantum chromodynamics could yield via topological fluctuation small present general reason absence littleness chirality imbalance qcd tc recently happen fretwork quantum chromodynamics tc approximately chiral spin symmetric symmetry breaking level percent transformation mix right left handed component quark exact symmetry would require absence chirality imbalance consequently close together coulomb symmetry admits lowly chirality imbalance qcd atomic number hence absence smallness magnetically induced current observed big ion collision could considered experimental evidence emergence symmetry tc
| 14
| 906,592
|
[
2,
2687,
826,
610,
2687,
740,
1078,
3072,
5368,
2687,
19792,
610,
9254,
1487,
6174,
9889,
864,
5850,
7202,
2588,
2253,
845,
214,
2046,
3618,
2571,
2306,
16724,
18725,
4225,
2216,
8030,
6146,
4612,
788,
4789,
7499,
381,
982,
1106,
9012,
1627,
845,
3072,
2476,
1710,
1881,
12407,
8080,
906,
7971,
3087,
2334,
17039,
1627,
845,
1896,
485,
4127,
2274,
5675,
8030,
4224,
406,
11736,
1499,
1718,
864,
1178,
2160,
762,
415,
421,
2032,
3864,
3608,
691,
8030,
6146,
3072,
5368,
1305,
9931,
805,
7770,
152,
406,
11736,
5368,
3824,
2687,
740,
1879,
1078,
3116,
712,
5164,
2081,
1206,
3179,
3698,
8323,
1071,
2269,
1487,
1078,
2274,
2115,
3864,
8030,
6146,
4466,
2247,
2556,
4577,
1078,
4824,
485,
97,
8030,
6146,
3072,
2671,
486,
2648,
3864,
15938,
9012,
1627,
845,
1059,
3315,
1710,
1881,
1499,
1657,
982,
2188,
4090,
1078,
5368,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
coordinated multi point transmission poisson delaunay triangulation based approach coordinated multi point comp transmission cooperating technique among base station bs cellular network outstanding capability inter cell interference ici mitigation ici dominant source error detrimental effect system performance managed properly based theory poisson delaunay triangulation paper proposes novel analytical model comp operation cellular network unlike conventional comp operation dynamic need line updating occasionally proposed approach enables cooperating b set user equipment ue fixed line determined according location information bs using theory stochastic geometry coverage probability spectral efficiency typical ue analyzed simulation result corroborate effectiveness proposed comp scheme developed performance analysis
| 0
| 39,065
|
[
2,
8347,
329,
563,
2264,
3243,
16832,
7999,
250,
338,
8347,
329,
563,
141,
2264,
3131,
413,
703,
1509,
2533,
2153,
7313,
4270,
256,
8123,
2459,
206,
1395,
3092,
3556,
31,
6229,
3556,
31,
3986,
829,
857,
11222,
610,
214,
473,
11880,
5211,
250,
476,
3243,
16832,
7999,
362,
3259,
758,
2428,
142,
141,
1837,
4270,
256,
3564,
2172,
141,
1837,
565,
1142,
1175,
7015,
17500,
459,
338,
2296,
3131,
413,
6,
376,
881,
8005,
11914,
1650,
1175,
2526,
2605,
2309,
545,
7313,
291,
476,
1119,
1583,
3879,
1158,
1253,
1370,
2922,
11914,
3273,
679,
249,
9581,
2059,
459,
141,
903,
1502,
473,
494,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
quantifying correlated shortness error effective field hypothesis good field theory eft organize description complex organization unnumbered chronological succession decreasing importance prediction made finite number term induces truncation error often left unquantified formalize notion eft convergence propose bayesian truncation error model prognostication correlate across independent variable eg vigour scattering angle central approach gaussian process encode naturalness correlation construction eft coefficient exercise gaussian cognitive operation permit effective accurate assessment credible interval allow eft fit easily include correlated theory error provides analytic posterior physical eft related quantity expansion argument demonstrate framework checking diagnostics applied case multiple curve sinewy tool eft establishment example as set nucleon nucleon scattering observables chiral eft effort self take appendix include thorough derivation statistical result method packaged python code called gsum available download github
| 16
| 834,173
|
[
2,
6051,
2842,
1491,
691,
857,
1013,
381,
2765,
1860,
381,
476,
8687,
12081,
2045,
586,
4770,
8139,
9149,
64,
12074,
676,
1599,
287,
5246,
2420,
839,
2219,
834,
486,
612,
5535,
6666,
857,
1429,
3698,
171,
16661,
12277,
64,
9379,
2245,
8687,
1298,
537,
1920,
6666,
857,
142,
12720,
75,
6925,
1496,
1312,
1089,
1454,
15486,
371,
1661,
2228,
1905,
338,
1476,
455,
5255,
11662,
1138,
1793,
8687,
1624,
9219,
1476,
4925,
1837,
5598,
1013,
1677,
3468,
11863,
2743,
735,
8687,
1814,
3112,
2373,
2842,
476,
857,
1220,
2354,
3196,
1347,
8687,
1264,
2797,
2114,
3306,
717,
609,
6256,
8553,
1261,
516,
849,
1684,
10116,
54,
50,
1242,
8687,
14474,
848,
548,
376,
4376,
4376,
1661,
3622,
2687,
8687,
2901,
1081,
1884,
9873,
2373,
5557,
4125,
1558,
249,
210,
4133,
40,
5437,
967,
1357,
16597,
109,
1192,
10025,
8290,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
skewed target range strategy multiperiod portfolio optimization using two stage least square monte carlo method paper propose novel investment strategy portfolio optimization problem proposed scheme maximizes expected portfolio value confine within targeted range composed conservative dispirited target represent need capital protection desired upper target representing investment end strategy favorably condition intact probability distribution return simultaneously seek desired bear return cut downside endangerment implicitly cap volatility higher moment illustrate effectiveness investiture scheme study multiperiod portfolio optimization problem transaction cost develop two degree regression approach improves classical least square monte carlo lsmc algorithm dealing difficult wage highly concave abruptly changing discontinuous function numeric effect show substantial improvement classical lsmc algorithmic program constant relative risk aversion crra utility access proposed skewed aim compass strategy strs numerical result illustrate power strs contain portfolio value within targeted stove compared crra utility approaching strs achieves similar mean variance efficient frontier give better downside risk return trade
| 15
| 1,198,553
|
[
2,
11830,
1176,
889,
1168,
5937,
59,
4211,
40,
5954,
868,
291,
312,
2031,
2100,
2187,
2545,
2565,
210,
362,
537,
758,
6905,
1168,
5954,
868,
304,
459,
903,
8147,
1945,
5954,
730,
17580,
992,
5473,
889,
4187,
5796,
8122,
151,
3844,
1176,
570,
1142,
8281,
5438,
3547,
2054,
1176,
4491,
6905,
904,
1168,
10078,
587,
13782,
1158,
555,
3970,
2581,
5464,
3547,
7393,
3970,
3096,
14271,
557,
904,
7990,
190,
7019,
685,
6085,
1084,
1147,
2495,
2059,
5482,
13664,
903,
352,
5937,
59,
4211,
40,
5954,
868,
304,
5276,
1103,
578,
312,
1402,
1832,
338,
2587,
1070,
2100,
2187,
2545,
2565,
15790,
33,
349,
6313,
1930,
17586,
1752,
6550,
17018,
3990,
5501,
327,
12380,
610,
223,
4302,
1760,
1070,
15790,
33,
3930,
1349,
1269,
1946,
1965,
16259,
956,
99,
3312,
2083,
459,
11830,
1484,
16745,
1168,
220,
32,
869,
249,
2495,
716,
220,
32,
1371,
5954,
730,
992,
5473,
9771,
98,
985,
956,
99,
3312,
8011,
220,
32,
2144,
960,
823,
2726,
790,
8125,
1041,
1251,
14271,
557,
1965,
3970,
2798,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
house price determinant market partitioning bowlder centennial state hedonic cost approach research perform hedonic regression mannequin examine residential property price determinant city bowlder land colorado usa urban housing market compounded considered homogeneous mart heterogeneity urban property grocery requires creation market sectionalisation test whether residential attribute genuine estate market city boulder analyzed predicted disaggregate degree aggregate level stratify trapping market based property type localisation estimate separate hedonic price mannikin submarket result indicate implicit value property characteristic across place type positioning city boulder food market partitioning exists
| 18
| 1,635,507
|
[
2,
10029,
3377,
5031,
2766,
6449,
9312,
1110,
59,
939,
9541,
300,
314,
10358,
755,
1103,
338,
952,
347,
10358,
755,
1832,
17875,
1709,
60,
3307,
12448,
559,
3377,
5031,
4164,
9312,
1110,
59,
2382,
2802,
15641,
13880,
4535,
16267,
2766,
4132,
64,
1657,
3086,
15742,
4989,
4535,
559,
405,
11577,
50,
2007,
5254,
2766,
9594,
2105,
821,
2252,
12448,
3233,
8750,
19962,
2766,
4164,
17177,
1110,
59,
3273,
2806,
14022,
103,
1402,
5157,
712,
15592,
2451,
6564,
2766,
250,
559,
654,
9629,
999,
3948,
10358,
755,
3377,
17875,
3936,
60,
4277,
445,
77,
249,
2941,
3284,
730,
559,
1548,
1496,
3249,
654,
7654,
4164,
17177,
1110,
59,
7289,
2766,
6449,
3030,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
number biased graph biased graph graph together distinguished subset cycle theta subgraph contains precisely two cycle large number biased graph constructed choosing complete graph arbitrary subset hamilton cycle show logarithmic scale total number simple biased graph vertex asymptotically exceed number constructed elementary way
| 1
| 537,665
|
[
2,
486,
5076,
471,
5076,
471,
471,
2556,
7657,
2553,
2371,
7826,
5316,
2927,
3800,
312,
2371,
506,
486,
5076,
471,
2776,
6486,
1878,
471,
1891,
2553,
7177,
2371,
223,
4108,
680,
1876,
486,
1004,
5076,
471,
1949,
3482,
4417,
486,
2776,
4788,
1024,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
modeling chemical reaction system detailed balance using gradient structure consider various modeling level spatially homogeneous chemical reaction system namely chemical master equation chemical langevin dynamic reaction rate equation throughout restrict study case microscopic system satisfies detailed balance condition latter allows u enrich system gradient structure ie evolution given gradient flow equation present arising link associated gradient structure driven relative entropy detailed balance steady state limit large volume studied sense evolutionary convergence gradient flow moreover use gradient structure derive hybrid model coupling different modeling level
| 1
| 571,519
|
[
2,
1490,
2531,
2608,
214,
2721,
3859,
291,
1154,
497,
520,
1002,
1490,
712,
3689,
3086,
2531,
2608,
214,
2511,
2531,
5645,
552,
2531,
6439,
565,
2608,
687,
552,
4891,
8952,
352,
516,
4058,
214,
4259,
2721,
3859,
587,
2679,
1191,
25,
4873,
214,
1154,
497,
1273,
1085,
812,
1154,
928,
552,
415,
3659,
1927,
1187,
1154,
497,
1457,
1946,
1612,
2721,
3859,
3623,
314,
625,
506,
2116,
1590,
2912,
3942,
1298,
1154,
928,
1415,
508,
1154,
497,
1527,
2025,
142,
1183,
467,
1490,
712,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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 free mmi adaptation self supervised pretrained acoustic model work propose lattice free mmi lfmmi supervised adaptation self supervised pretrained acoustic model pretrain transformer model thousand hour untranscribed librispeech data followed supervised adaptation lfmmi three different datasets result show fine tuning lfmmi consistently obtain relative wer improvement clean test set librispeech switchboard swahili tagalog compared baseline trained supervised data
| 3
| 194,995
|
[
2,
1276,
965,
2875,
31,
3104,
1081,
1812,
6691,
3023,
142,
431,
537,
1276,
965,
2875,
31,
6849,
564,
31,
1812,
3104,
1081,
1812,
6691,
3023,
142,
4506,
263,
3052,
142,
5422,
4684,
9810,
5242,
5759,
14290,
233,
4478,
1812,
3104,
6849,
564,
31,
776,
467,
1037,
249,
223,
2489,
2752,
6849,
564,
31,
4408,
575,
1946,
9788,
1760,
4528,
821,
376,
14290,
4393,
6422,
1610,
2830,
3348,
4990,
2738,
985,
2109,
1318,
1812,
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
] |
global study separable copulate interaction covariant density functional theory systematic global investigation pairing property based available experimental data point pairing indicator performed first time framework covariant density functional theory based severable pair interaction referee optimization scale factor fundamental interaction data based data clearly reveals isospin dependance neutron subsystem even site lupus erythematosus certain proton subsystem since similar accuracy description pairing indicator achieved isospin dependent mass dependent scaling factor difference functional dependency scaling factor lead uncertainty prediction proton neutron pairing property peculiarly pronounced high isospin could meaning bear upon physical observables given contribution atomic chart scaling factor spherical nucleus smaller deformed unmatched feature exists also non relativistic density functional theory origin describe back particle vibration pair odd nucleus missing existing world field study pairing although present investigation based nle covariant vigour density functional cedf general conclusion anticipate valid also cedfs built hartree level
| 14
| 900,691
|
[
2,
1297,
352,
5594,
8477,
1379,
719,
5938,
784,
1653,
476,
2202,
1297,
3111,
4759,
559,
250,
1192,
982,
233,
563,
4759,
4664,
2183,
499,
290,
609,
5938,
784,
1653,
476,
250,
814,
195,
1140,
719,
3344,
1809,
868,
680,
955,
1708,
719,
233,
250,
233,
5383,
3680,
9042,
626,
189,
2185,
5555,
1040,
3032,
15320,
183,
726,
8282,
7673,
2682,
2129,
32,
1452,
2915,
5555,
1784,
960,
865,
2045,
4759,
4664,
2002,
9042,
1521,
669,
1521,
2147,
955,
1608,
1653,
3486,
2147,
955,
840,
1451,
839,
2915,
2185,
4759,
559,
7169,
97,
8516,
298,
9042,
1499,
3351,
7393,
2761,
1347,
3622,
812,
1688,
2671,
9491,
2147,
955,
3569,
2993,
2723,
5735,
7579,
19538,
571,
3030,
364,
278,
2662,
784,
1653,
476,
2093,
1734,
1057,
836,
6454,
1140,
3900,
2993,
3550,
936,
1258,
381,
352,
4759,
2302,
415,
3111,
250,
3432,
38,
5938,
15486,
371,
784,
1653,
5693,
14689,
421,
3971,
10814,
1308,
364,
5693,
18685,
3447,
9002,
712,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
regional economical intersection spatial quantile regression presence beta convergence european region significant issue analyze paper adopt quantile infantile fixation approach analyzing economical convergence previous work execute quantile reversion national level focussing european nut region period use spatial quantile regression chronicle spatial dependence
| 18
| 1,597,777
|
[
2,
8142,
15048,
3702,
1325,
7522,
1832,
1591,
5028,
1298,
7234,
977,
779,
1737,
1849,
362,
5170,
7522,
12406,
1153,
13299,
338,
3519,
15048,
1298,
912,
431,
8884,
7522,
9164,
287,
6678,
712,
17278,
7234,
8563,
977,
1278,
508,
1325,
7522,
1832,
11694,
80,
1325,
1991,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
continuity semileptonic form constituent modest change mass massive external scattering state correspond modest alteration non perturbative parameterization form factor quantum field possibility long relevant vim range near strong distortion definition small investigated applied breaking semileptonic transition unitarity analyticity impose difference form component semileptonic versus disintegration found within full kinematic chain zero recoil consistent event lattice calculation differs expectation using hqet alone
| 7
| 1,657,889
|
[
2,
5611,
12783,
337,
6725,
8861,
1173,
669,
2030,
2513,
1661,
314,
932,
8861,
11635,
278,
4011,
6387,
337,
955,
406,
381,
2851,
891,
1980,
686,
53,
889,
1027,
788,
3816,
3017,
762,
2497,
1261,
3116,
12783,
908,
8269,
12553,
7437,
1608,
337,
1071,
12783,
5407,
217,
16211,
1088,
992,
1616,
3784,
1882,
1362,
8372,
1460,
1170,
1276,
1672,
7469,
3548,
291,
15621,
77,
5236,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
nucleon form constituent root mean square radius fm lattice physical tip present nucleon form component root mean value square rms radius measured fm lattice strong arm point compute form factor small impulse transfer area gev standard plateau method acting choosing four source sink separation prison term fm examine possible excited state contamination obtain electric magnetic form constituent rms radius isovector epithelial duct also proton neutron one without unplug diagram also obtain axial vector coupling axile radius axile transmitter bod factor find three form component demo large dependence lattice frame hired man induced pseudoscalar pseudoscalar form factor show clean effect excited do contamination affect generalized goldberger treiman relation
| 14
| 963,218
|
[
2,
4376,
337,
6725,
3257,
823,
2187,
2440,
5088,
1276,
1347,
6506,
415,
4376,
337,
1071,
3257,
823,
730,
2187,
9521,
2440,
2205,
5088,
1276,
788,
3528,
563,
1893,
337,
955,
762,
8959,
1293,
1589,
3598,
974,
7478,
210,
5136,
6486,
1249,
829,
8571,
2782,
16663,
612,
5088,
3307,
1117,
3934,
314,
7970,
575,
2253,
826,
337,
6725,
9521,
2440,
15004,
18353,
17487,
364,
2915,
2185,
401,
973,
9672,
493,
47,
2543,
364,
575,
5850,
1134,
1183,
1753,
1153,
2440,
1753,
1153,
6574,
19371,
955,
696,
776,
337,
1071,
13298,
506,
1991,
1276,
534,
14759,
64,
398,
1627,
10223,
10223,
337,
955,
223,
4528,
610,
3934,
6540,
7970,
2898,
1582,
4622,
11947,
4148,
19896,
893,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
low dimensional firing rate dynamic population renewal type spike neuron macroscopic dynamic large population neuron mathematically analyzed using low dimensional firing rate neural mass model however model fail capture spike synchronization effect stochastic spiking neuron non stationary population response rapidly changing stimulus derive low dimensional firing rate framework homogeneous universe general replenishment type neuron including integrate fire mannequin driven white noise renewal model account neural refractoriness spike synchronization dynamic derivation based eigenmode expansion associated refractory density equation generalise previous spectral method fokker planck par arbitrary renewal good example find simple coition eigenvalue matrix find characteristic time scale firing rate dynamic laplace transform interspike interval density endurance function renewal process analytic reflexion laplace transforms readily available many renewal model including blabbermouthed integrate fire model retaining first eigenmode yield already adequate low dimensional approximation firing rate dynamic seizure spike synchronisation effect fast transient dynamic stimulus onset explicitly demonstrate validity model large homogeneous population poisson neuron absolute unmanageableness renewal model admit expressed analytical calculation eigenvalue presented eigenmode expansion provides systematic framework novel firing rate exemplar computational neuroscience based spiking neuron dynamic refractoriness
| 5
| 1,090,452
|
[
2,
485,
673,
12446,
687,
565,
1719,
12834,
654,
5871,
3945,
4749,
565,
506,
1719,
3945,
7233,
3273,
291,
485,
673,
12446,
687,
549,
669,
142,
627,
142,
2213,
2052,
5871,
4829,
610,
1119,
6671,
3945,
278,
2794,
1719,
1601,
4128,
3990,
7373,
1527,
485,
673,
12446,
687,
609,
3086,
2690,
421,
15792,
62,
16762,
654,
3945,
995,
5387,
6679,
17875,
1709,
60,
1457,
3554,
1068,
12834,
142,
1948,
549,
15208,
11633,
691,
5871,
4829,
565,
4125,
250,
11445,
597,
2114,
1187,
16807,
784,
552,
9513,
912,
1253,
210,
8680,
4100,
165,
1891,
12834,
1860,
848,
696,
1004,
235,
2053,
2672,
766,
696,
1548,
290,
680,
12446,
687,
565,
5610,
1492,
3097,
9174,
526,
2743,
784,
19592,
327,
12834,
455,
2354,
11605,
287,
5610,
5569,
6014,
1192,
731,
12834,
142,
995,
604,
117,
350,
11236,
3171,
64,
5387,
6679,
142,
8731,
499,
11445,
597,
1718,
3720,
7821,
485,
673,
1056,
12446,
687,
565,
11270,
5871,
16469,
610,
1180,
3588,
565,
7373,
5588,
2706,
717,
4633,
142,
506,
3086,
1719,
3243,
3945,
3999,
7579,
4431,
112,
195,
691,
12834,
142,
3255,
4363,
2428,
1672,
2672,
1588,
11445,
597,
2114,
1220,
2202,
609,
758,
12446,
687,
12617,
1259,
8766,
250,
6671,
3945,
565,
15208,
11633,
691,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
first saturation correction high energy proton nucleus collision ii single inclusive semi hard gluon production exploiting recently obtained analytic solution classical yang mill equation higher order perturbation field dilute object proton derive complete first saturation correction single inclusive semi hard gluon production high energy proton nucleus collision applying lehmann symanzik zimmermann reduction formula thus finalize program started balitsky see refcitebalitskyrr independently chirilli kovchegov wertepny see refcitechirillitea albeit using different approach carry calculation extracted functional dependence gluon spectrum color charge density colliding object thus result used evaluate complete first saturation correction doublemultiple inclusive gluon production
| 14
| 955,130
|
[
2,
499,
5843,
2303,
298,
470,
2915,
2993,
1881,
1465,
782,
7436,
2057,
1361,
4679,
2155,
3646,
1305,
970,
2354,
533,
1070,
4662,
2427,
552,
1084,
452,
1723,
381,
9313,
934,
2915,
1527,
1878,
499,
5843,
2303,
782,
7436,
2057,
1361,
4679,
2155,
298,
470,
2915,
2993,
1881,
2709,
17188,
3135,
2217,
14526,
3936,
30,
18938,
3135,
1843,
1729,
1214,
2811,
462,
1349,
8380,
2436,
5595,
4395,
2956,
1597,
3395,
1379,
3701,
5595,
4395,
34,
34,
4414,
6294,
697,
31,
7076,
9508,
2749,
2891,
46,
9788,
1379,
12580,
50,
2956,
1597,
3395,
17011,
151,
697,
382,
42,
9471,
291,
467,
338,
3771,
1672,
3404,
1653,
1991,
4679,
978,
2802,
1682,
784,
10798,
934,
1214,
249,
522,
1802,
1878,
499,
5843,
2303,
2377,
14874,
204,
7436,
4679,
2155,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
nonlinear response wrinkled premixed flaming time space dependent forcing stretch premixed flame wrinkling studied via michelson sivashinsky type development equation retain darrieus landau dl instability curve effect geometric nonlinearity also keep forcing longitudinal shearflow wrinkle stretching transverse flow imposed stimulus vary time space make front slope comprise given fluctuate spatial harmonic unknown pole decomposed piece dl free burger version examined parallel also neumann condition symmetry shown mannequin solving ntot equation motion perch principle yield front dynamic arclength increase vt time average vav yet could worked analytically nearly high frequency hf low frequency lf limit tackle one two pair pole per cell large identification number pair ntot mold two pile viewed continuum one per crest despite ample pole motion make commute crest vav grows closely parabolic way coalesce strength force stretch low frequency stimulus dl instability induce multiple branch relaxation phenomenon numerical average needed even vt analytically know ntot short wrinkle burger front vav transition quadratic sublinear forcing grows longer scrunch vav keep value restrained forcing bifurcates ultimately sublinear ontogenesis depends stimulus phase long wrinkle mate integral par give analytic slope perch density profile pile heightscontents need dependent numerical search two root get vt summary discussion hint stimulus generalization provided open problem evoked
| 12
| 742,499
|
[
2,
1144,
1601,
17688,
40,
7866,
14192,
705,
7800,
12901,
290,
410,
1521,
6083,
8642,
7866,
14192,
10906,
14444,
7707,
70,
1590,
864,
19136,
1128,
16201,
11100,
2758,
4395,
654,
1642,
552,
5114,
7569,
118,
8110,
32,
4502,
3899,
2713,
1684,
610,
1987,
5505,
364,
4141,
6083,
4627,
3616,
2900,
17688,
11173,
3415,
928,
5853,
7373,
2195,
290,
410,
1225,
4099,
5148,
11597,
812,
7808,
103,
1325,
2865,
2411,
5243,
8052,
6429,
3899,
965,
10288,
1904,
5395,
1912,
364,
4996,
587,
1078,
1186,
17875,
1709,
60,
2178,
8121,
148,
552,
1367,
5312,
37,
1779,
1718,
4099,
565,
5137,
13589,
1376,
14492,
290,
1611,
7608,
46,
2334,
1499,
11678,
4147,
3532,
298,
1029,
8020,
485,
1029,
6849,
625,
3898,
401,
312,
1140,
5243,
184,
1395,
506,
2450,
486,
1140,
8121,
148,
9363,
40,
312,
12534,
5343,
3269,
401,
184,
1587,
79,
2601,
11462,
5243,
1367,
1225,
11351,
1587,
79,
7608,
46,
5636,
4578,
4851,
1024,
15556,
38,
2126,
2058,
8642,
485,
1029,
7373,
3899,
2713,
5048,
849,
3461,
2954,
1981,
869,
1611,
3177,
1040,
14492,
4147,
567,
8121,
148,
1491,
17688,
10288,
4099,
7608,
46,
908,
2642,
8540,
6083,
5636,
4381,
12052,
15843,
37,
7608,
46,
4141,
730,
1620,
4493,
6083,
15567,
763,
6959,
8540,
4116,
2614,
1456,
2696,
7373,
584,
891,
17688,
319,
38,
1964,
165,
1041,
2354,
5148,
5312,
37,
784,
2379,
12534,
4650,
637,
2978,
78,
32,
1142,
1521,
869,
1106,
312,
3257,
3195,
14492,
5209,
4139,
7971,
7373,
1781,
2082,
1090,
304,
270,
11378,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
dependence light nucleus nucleosynthesis investigate impact computability vacuum nonzero property light nucleus big bang nucleosynthesis stellar nucleosynthesis analysis start calculation dependence neutron proton mass difference neutron decay using chiral first order theory discus dependence nucleon nucleon interaction involves one majorana volatility model matrix property two nucleon system using universal property four component fermion large scattering length deduce binding energy three nucleon four nucleon system based result hurdling implicit primordial abundance light nucleus production nucleus stellar environment implication anthropic object
| 14
| 987,712
|
[
2,
1991,
1003,
2993,
9690,
1190,
1485,
15582,
2969,
6041,
559,
1003,
2993,
3315,
8010,
9690,
2020,
9690,
494,
3889,
1672,
1991,
2185,
2915,
669,
1608,
2185,
1552,
291,
2687,
499,
452,
476,
883,
1991,
4376,
4376,
719,
3806,
401,
4945,
6085,
142,
766,
559,
312,
4376,
214,
291,
2363,
559,
1249,
1071,
2306,
506,
1661,
1698,
6627,
4610,
470,
776,
4376,
1249,
4376,
214,
250,
249,
6690,
14610,
70,
3284,
4543,
3436,
1003,
2993,
2155,
2993,
2020,
1028,
3041,
14374,
72,
934,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
value non markovian dynkin game partial asymmetric information prove goose egg sum dynkin biz uninterrupted time partial asymmetrical information admit time value randomise stopping prison term stopping payoff player general cadlag measurable process product method substantiation also incur cosmos optimal scheme player main novelty assume markovian nature game particular social organisation information available player allows rifle beyond variational method acting found pdes developed literature dynkin game continuous time partialasymmetric information instead focus probabilistic functional analytic approach shot based general theory stochastic process zion min max theorem sion pacific mathematics pp framework encompasses model retrieve literature continuous time dynkin game asymmetrical information provide counterexample display presumptuousness cannot loose
| 15
| 1,110,239
|
[
2,
730,
278,
5663,
14574,
1756,
2170,
4086,
545,
900,
902,
859,
18003,
1327,
14574,
817,
49,
12300,
59,
8475,
64,
290,
2170,
18185,
545,
3255,
290,
730,
753,
491,
6767,
16663,
612,
6767,
7908,
3739,
421,
6807,
7086,
47,
7227,
455,
1568,
210,
2877,
75,
364,
6680,
13501,
819,
903,
3739,
925,
6819,
3780,
5663,
2014,
1756,
756,
1794,
12925,
545,
1192,
3739,
1191,
2429,
5873,
38,
2173,
2332,
210,
5136,
1088,
5346,
1502,
1810,
14574,
1756,
1335,
290,
2170,
82,
2643,
545,
2464,
1102,
2568,
1653,
2354,
338,
3031,
250,
421,
476,
1119,
455,
30,
287,
591,
3206,
1396,
11026,
39,
7092,
536,
6484,
4320,
609,
10842,
142,
8555,
1810,
1335,
290,
14574,
1756,
18185,
545,
693,
8740,
3926,
11436,
518,
9838,
691,
2343,
14268,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
anderson bernoulli localization lattice distinct unique continuation principle consider anderson role model bernoulli potential lattice prove localization eigenfunctions corresponding eigenvalue near zero lower boundary spectrum follow framework bourgain kenig ding smart independent contribution discrete unequaled continuation say eigenfunction harmonic hustler bounded potential cannot small important fractional dower point proof relies geometric argument grille
| 8
| 653,506
|
[
2,
7159,
7157,
2534,
1276,
2770,
2326,
6859,
1779,
520,
7159,
1574,
142,
7157,
801,
1276,
900,
2534,
6870,
1309,
2672,
1027,
1362,
1262,
1107,
978,
1316,
609,
17484,
16694,
105,
18843,
2990,
1312,
1688,
1596,
11885,
64,
6859,
6592,
12903,
2865,
19870,
15721,
34,
2010,
801,
2343,
762,
994,
2824,
6540,
2297,
563,
1689,
3429,
1987,
3306,
9259,
7270,
38,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
network mechanism insect olfaction early olfactory pathway response presentment odor display remarkably alike dynamic demeanour across phylum worm mammal frequently involve conversion among quiescence collective network oscillation asynchronous firing hypothesize time scale fast excitation fast slow inhibition present network may essential component underlying standardised behavior design idealized conductance found integrate fire model verify guess via numerical simulation better understand numerical structure underlying common dynamic conduct across specie derive lighting charge per unit atomic number model expend extract slow passage saddle node unvarying circle snic bifurcation complex body part anticipate bifurcation structure provide new insight realize dynamic behavior neuronal assembly similar structure found sensory system
| 5
| 1,097,030
|
[
2,
256,
1112,
15308,
6064,
3469,
287,
2467,
6064,
12510,
50,
5665,
1601,
415,
190,
6623,
65,
3926,
5344,
13810,
565,
465,
5377,
371,
1496,
9681,
109,
6685,
10361,
61,
5416,
4979,
3917,
1509,
9318,
95,
15843,
38,
3723,
256,
2730,
6053,
12446,
11402,
290,
680,
1180,
2418,
1180,
2563,
13263,
415,
256,
853,
2691,
1071,
1924,
974,
879,
1017,
618,
11319,
6241,
1088,
5387,
6679,
142,
3590,
9843,
864,
869,
679,
1251,
1121,
869,
497,
1924,
1277,
565,
2040,
1496,
3527,
1527,
9758,
1682,
184,
1436,
2671,
486,
142,
15382,
1890,
2563,
6022,
6237,
1418,
171,
14939,
1177,
5279,
2472,
72,
5420,
586,
1577,
1229,
10814,
5420,
497,
693,
385,
2251,
4919,
565,
1017,
8745,
5018,
960,
497,
1088,
9015,
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
] |
application deep learning based interpolation method nearshore bathymetry nearshore bathymetry topography ocean floor coastal zone vital predicting surf zone hydrodynamics route planning avoid subsurface feature hence increasingly important wide variety application including shipping operation coastal management risk assessment however direct high resolution survey nearshore bathymetry rarely performed due budget constraint logistical restriction another option sparse observation available use gaussian process regression gpr also called kriging gpr difficulty recognizing pattern sharp gradient like found around sand bar submerged object especially observation sparse work present several deep learning based technique estimate nearshore bathymetry sparse multi scale measurement propose deep neural network dnn compute posterior estimate nearshore bathymetry well conditional generative adversarial network cgan sample posterior distribution train neural network based synthetic data generated nearshore survey provided u army corp engineer field research facility frf duck north carolina compare method kriging real survey well survey artificially added sharp gradient result show direct estimation dnn give better prediction kriging application use bootstrapping dnn uncertainty quantification also propose method named dnn kriging combine deep learning kriging show improvement posterior estimate
| 6
| 1,303,176
|
[
2,
542,
562,
285,
250,
4223,
210,
1027,
16209,
5453,
11922,
4750,
50,
1027,
16209,
5453,
11922,
4750,
50,
11835,
6618,
10188,
16870,
4474,
6461,
3285,
17241,
4474,
5990,
4732,
2839,
2468,
11731,
571,
2648,
3829,
994,
1762,
1683,
542,
995,
10784,
1063,
1837,
16870,
3352,
1965,
3468,
627,
1108,
298,
1378,
1799,
1027,
16209,
5453,
11922,
4750,
50,
7860,
2183,
824,
4923,
986,
5607,
61,
4069,
2630,
4322,
2006,
972,
1192,
508,
1476,
455,
1832,
14149,
364,
1357,
17537,
14149,
3585,
8816,
1412,
3216,
1154,
1079,
1088,
1926,
7985,
2590,
4277,
3493,
40,
934,
2301,
972,
2006,
431,
415,
876,
562,
285,
250,
703,
999,
1027,
16209,
5453,
11922,
4750,
50,
2006,
329,
680,
852,
537,
562,
549,
256,
2631,
1893,
3196,
999,
1027,
16209,
5453,
11922,
4750,
50,
529,
2820,
2191,
1374,
256,
15570,
832,
3196,
555,
442,
549,
256,
250,
2338,
233,
1472,
1027,
16209,
1799,
2082,
25,
3528,
50,
358,
44,
7228,
381,
952,
5195,
997,
52,
15241,
41,
6488,
884,
15379,
42,
1845,
210,
17537,
495,
1799,
529,
1799,
11142,
5071,
3216,
1154,
249,
223,
1108,
1083,
2631,
1041,
1251,
839,
17537,
542,
508,
12671,
2631,
1451,
5234,
364,
537,
210,
3819,
2631,
17537,
2606,
562,
285,
17537,
223,
1760,
3196,
999,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
probe nucleon nucleus high energy collision bulk appeal contribution week program probing nucleon nucleus high vigour collision contain institute nuclear theory seattle wa usa october november program dedicated physic negatron ion collider eic world foremost polarize electron nucleon ep electron nucleus ea collider construct usa proceeding organized chapter correspond week program week generalize parton distribution week two transverse spin tmds week iii longitudinal spin week iv symposium workweek week vi ea collision hebdomad septet pa aa collision leslie townes hope proceeding utile reader compilation eic related science end nd decade xxi hundred
| 7
| 1,697,245
|
[
2,
2634,
4376,
2993,
298,
470,
1881,
2564,
15727,
1688,
7594,
1349,
5328,
4376,
2993,
298,
15486,
371,
1881,
1371,
10891,
2461,
476,
7261,
7140,
80,
585,
13880,
14341,
14920,
1349,
5609,
1422,
1554,
18624,
1710,
4296,
13186,
1258,
5635,
2367,
1263,
462,
1149,
4376,
1805,
1149,
2993,
9774,
4296,
1244,
13880,
10987,
7550,
7267,
932,
7594,
1349,
7594,
3043,
5905,
555,
7594,
312,
3415,
740,
12293,
7594,
3509,
4627,
740,
7594,
5009,
2217,
16625,
109,
431,
3026,
5921,
7594,
686,
9774,
1881,
678,
16161,
8693,
40,
11836,
77,
259,
7247,
1881,
19759,
2117,
38,
1468,
9934,
6070,
10987,
1311,
38,
7485,
10251,
13186,
1264,
2430,
904,
5948,
3663,
8612,
31,
5229,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
labored hadron corpuscle effective sphere hypothesis egression alien nuclear landscape painting sonorous hadron atom first theorized petroleum ism analogy deuteron atomic violence ski binding hypothesis proven right track discovery still analogy nuclear physic badly tap beyond figuring two threesome physical structure sector go away great numeral possible theoretical consequence unexplored show atomic threatening hadron secure theatre theory formally identical using desirable notational system formal difference two efficacious field theory instead use received heavy superfield notation write heavy hadron interaction direct term light quark degree freedom break example exploit doctrine analogy eg calculation two pi meson exchange diagram relevant diligence present idea speculation alien atomic landscape internet explorer possibility heavy hadron bound nation characteristic standardised standard nucleus
| 19
| 457,098
|
[
2,
4102,
64,
3167,
3731,
8186,
1013,
3018,
2765,
1454,
843,
8440,
62,
2461,
4426,
12164,
10666,
3003,
3167,
1369,
499,
1373,
422,
6373,
530,
8110,
53,
8871,
6350,
10464,
2671,
19542,
1607,
31,
4610,
2765,
4231,
3179,
1862,
2948,
1923,
6350,
2461,
1422,
19343,
11369,
2173,
6943,
2569,
312,
776,
339,
9811,
1347,
497,
3364,
902,
4766,
1931,
722,
61,
1117,
1238,
2736,
8103,
223,
2671,
17803,
3167,
4066,
311,
67,
114,
476,
6552,
4838,
291,
5401,
11679,
61,
214,
2004,
1608,
312,
4734,
84,
3246,
381,
476,
2464,
508,
4445,
2476,
19657,
11679,
7390,
2476,
3167,
719,
1108,
612,
1003,
2269,
1402,
3371,
2061,
848,
2208,
2814,
4750,
216,
6350,
1454,
1672,
312,
3479,
4073,
2754,
2543,
1980,
4562,
15963,
95,
415,
2399,
17740,
8440,
62,
2671,
4426,
3890,
11245,
2851,
2476,
3167,
451,
12415,
1548,
974,
879,
974,
2993,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
gravitative collapse syk model choptuik like phenomenon syk mannikin quantum mechanical mannequin fermion resolvable inviolable coupler play important role perhaps simplest holographic model quantum gravity black hole present body work considers contort syk model sudden quantum quench deformation parameter system undeformed font permit low free energy description term pseudo nambu goldstone mode bulk treble scheme represents gravitational collapse characterize bulk matter stress tensor whose value near boundary appearance sudden jump time quench leave gravitational collapse form black hole distortion parameter exceeds certain vital value form horizonless geometry differently case black hole bod resulting hawking temperature given fractional power reminiscent choptuik phenomenon critical gravitational collapse
| 11
| 228,226
|
[
2,
1535,
342,
3863,
10686,
142,
1750,
518,
45,
3936,
1079,
1981,
10686,
17875,
3936,
60,
406,
3028,
17875,
1709,
60,
2306,
2344,
3340,
411,
14482,
195,
13972,
1973,
994,
1574,
8732,
6610,
4595,
142,
406,
1870,
1161,
1196,
415,
1577,
431,
4708,
230,
274,
10686,
142,
8498,
406,
4113,
2795,
481,
214,
16857,
18384,
15053,
5598,
485,
965,
470,
2045,
612,
3270,
10185,
9288,
1082,
2564,
4148,
172,
903,
4221,
1751,
3863,
2636,
2564,
1074,
3271,
1540,
1857,
730,
1027,
1107,
4441,
8498,
4588,
290,
4113,
8002,
1751,
3863,
337,
1161,
1196,
3816,
481,
7321,
1452,
6461,
730,
337,
2486,
2112,
1583,
7980,
516,
1161,
1196,
19371,
1748,
6809,
906,
812,
2824,
716,
10505,
1750,
518,
45,
3936,
1981,
1166,
1751,
3863,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
complementarity versus coordinate transformation mapping pseudo hermiticity decrepit pseudo hermiticity noindent study conception complementarity introduced bagchi quesne phys lett bf pseudo hermiticity weak pseudo hermiticity tight mathematical viewpoint coordinate shift system position dependent mass first determine modified impulse generating single valued function identifying complexified potential concept pseudo hermiticity resp weak fraud hermiticity show concept complementarity understood interpreted coordinate transmutation respective generate role import similarity transformation implement co ordinate transmutation obtained show similarity transformation set fundamental relationship connecting special factorisation discussed case constant mass backlund transformation educe
| 8
| 622,325
|
[
2,
10665,
5407,
2972,
2081,
2256,
3270,
14674,
2331,
9174,
36,
3270,
14674,
407,
1127,
78,
352,
18641,
10665,
1847,
7413,
9801,
5766,
11982,
38,
723,
9472,
6419,
3270,
14674,
1207,
3270,
14674,
3342,
2657,
5844,
2972,
2339,
214,
2012,
1521,
669,
499,
1988,
2741,
8959,
2559,
782,
3400,
327,
3433,
586,
1204,
801,
1546,
3270,
14674,
632,
1207,
9094,
14674,
223,
1546,
10665,
4001,
4850,
2972,
1595,
3584,
5718,
1941,
1574,
816,
2447,
2081,
1795,
235,
3738,
10762,
1595,
3584,
970,
223,
2447,
2081,
376,
1708,
2175,
6414,
1846,
13697,
2443,
516,
1269,
669,
1057,
15327,
2081,
5335,
38,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
fragmentation distributed central distributed security exchange may become diamond state facto fragmented span geographic region asymmetrical computer base first build economical model decentralized exchange two miner cluster stand compact surface area economical activity eg city local miner area relatively higher trading bodily function join decentralized substitution enjoy enceinte speed advantage long distance competition due transfer economical value across miner specifically high pitched low activity cluster second approximation speed advantage local long aloofness miner series monte carlo experiment ii cluster unstructured match peer electronic network simulated find speed advantage increase stage infrastructure asymmetry cluster cross region dex blockchains feasible long asymmetry level trading body process infrastructure accessibility across region positively correlated
| 15
| 1,178,789
|
[
2,
6877,
1600,
1905,
1600,
2445,
2754,
853,
2387,
5604,
314,
14533,
15941,
4963,
10106,
977,
18185,
2003,
2533,
499,
2655,
15048,
142,
4338,
2754,
312,
8809,
878,
895,
1690,
854,
1589,
15048,
2194,
1454,
4164,
619,
8809,
1589,
3125,
1084,
6198,
19371,
1141,
327,
8301,
4338,
7126,
8620,
1050,
1417,
1379,
1691,
2051,
891,
1193,
4626,
824,
1293,
15048,
730,
1496,
8809,
1855,
298,
7700,
64,
485,
2194,
878,
937,
1056,
1691,
2051,
619,
891,
16360,
1268,
691,
8809,
1461,
2545,
2565,
427,
1465,
878,
6894,
2780,
5942,
2162,
256,
2803,
696,
1691,
2051,
1376,
2031,
4488,
4224,
878,
1202,
977,
7978,
10419,
4138,
891,
4224,
712,
6198,
1577,
455,
4488,
10390,
1496,
977,
9182,
2842,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
hawking radiation instantons various interpretation hawking radiotherapy purpose ground perturbative approach confirmed hawking original find one major conceptual challenge clear throat evaporation assort black hole information expiration paradox remains unresolved key factor yield end stage black hole dehydration unluckily evaporation cognitive operation becomes non perturbative aspired provide tool eventual solution problem introduce new interpretation hawking radioactivity tunneling instantons canvas instantons massless scalar field einstein gravity count complex valued instanton connects initial staring inglorious maw state mordant hole scalar field represents hawking radiation future null infinity action depends areal entropy deviation comparing several independent approach hawking radiation perturbative limit conclude hawk radiation may describe family line instantons since instanton approach describe non perturbative process hope new interpretation holistic method may shed light information loss problem
| 11
| 295,374
|
[
2,
6809,
2463,
11440,
1002,
2800,
6809,
15716,
2676,
1636,
4011,
338,
4593,
6809,
2167,
696,
401,
1824,
5966,
1136,
2905,
15404,
7676,
13338,
1161,
1196,
545,
460,
10002,
7773,
2685,
9639,
1231,
955,
1718,
904,
2031,
1161,
1196,
15986,
5943,
1109,
171,
493,
33,
8100,
97,
7676,
4925,
1837,
2968,
278,
4011,
2267,
1034,
693,
1242,
13340,
533,
304,
1077,
385,
2800,
6809,
2193,
10758,
5134,
11440,
2774,
6665,
32,
11440,
5389,
1631,
381,
2982,
1870,
2527,
586,
3400,
9841,
9889,
1352,
706,
70,
11728,
5784,
3246,
157,
54,
314,
17986,
150,
1196,
1631,
381,
4221,
6809,
2463,
1387,
4040,
4192,
1274,
2696,
19218,
1612,
3279,
3265,
876,
1312,
338,
6809,
2463,
4011,
625,
3766,
5592,
41,
2463,
853,
1734,
1644,
1175,
11440,
1784,
9841,
338,
1734,
278,
4011,
455,
6070,
385,
2800,
9102,
210,
853,
5066,
1003,
545,
1097,
304,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
dark matter higgs portal review scenario particle account dark matter diabetes mellitus universe interact coupling higgs sector hypothesis called higgs portal model first footstep use universal model independent coming dm particle vest spin assume minimal higgs sector presence stock model sm higgs particle observed lhc second footstep discus non minimal scenario spin dm particle accompanied additional lepton mate consider several possibility like sequential singlet doublet vector like lepton third step examine case higgs sector theory enlarged either singlet scalar pseudoscalar field additional two higgs doublet theater operation case issue mental object also extended several way finally investigate case supersymmetric extension sm neutralino dm center possibility latter duo chiefly neutral higgs particle example serve main portal dm phenomenology scenario summarize update present restraint future prospect collider physic perspective namely determination sm higgs property lhc search invisible decay dm search punishing higgs boson dm companion particle high vigour collider compare result constraint scene obtained cosmological relic copiousness well direct indirect diabetes mellitus search astroparticle physic experiment complementarity collider astroparticle dm hunting investigated consider model
| 17
| 307,486
|
[
2,
1397,
1074,
3130,
10329,
1977,
1296,
836,
1948,
1397,
1074,
12636,
13097,
76,
183,
2690,
4636,
1183,
3130,
3364,
2765,
1357,
3130,
10329,
142,
499,
5527,
15181,
508,
2363,
142,
1312,
5872,
3010,
836,
11180,
36,
740,
3780,
2169,
3130,
3364,
1591,
5292,
142,
487,
3130,
836,
1059,
3599,
937,
5527,
15181,
883,
278,
2169,
1296,
740,
3010,
836,
6815,
1854,
4607,
319,
38,
520,
876,
2851,
1079,
3188,
5715,
7703,
1134,
1079,
4607,
3065,
1228,
3307,
516,
3130,
3364,
476,
14132,
1896,
5715,
1631,
10223,
381,
1854,
312,
3130,
7703,
311,
2142,
1837,
516,
1737,
7896,
934,
364,
1979,
876,
1024,
1157,
1190,
516,
5400,
1900,
487,
18434,
3010,
2231,
2851,
2679,
5278,
35,
9839,
3921,
97,
3856,
3130,
836,
848,
4335,
925,
10329,
3010,
7695,
1296,
7324,
2793,
415,
1620,
263,
36,
1387,
5988,
4296,
1422,
2452,
2511,
4267,
487,
3130,
559,
3599,
1106,
10519,
1552,
3010,
1106,
8479,
7524,
3130,
2986,
3010,
4730,
836,
298,
15486,
371,
4296,
1845,
249,
986,
2866,
970,
2485,
7794,
4397,
3246,
691,
529,
1108,
5390,
12636,
13097,
76,
183,
1106,
10706,
3329,
12497,
1422,
427,
10665,
4296,
10706,
3329,
12497,
3010,
17289,
2497,
520,
142,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
gauge translation scalar induced tensor perturbation matter domination report scalar induced tensor perturbation second order matter domination seven spot different caliber think prevail solution newtonian caliber use gauge transformation law scalar induct tensor perturbation derive answer six gauge identifying winnow residual gauge mode synchronic comoving orthogonal gauge obtain analytical result essence function two gauge obtained gauge transformation scalar induced gravitational wave oscillating discover topic command era oscillating gravitational undulation behave radiation
| 11
| 271,140
|
[
2,
2036,
2610,
1631,
1627,
1540,
1723,
1074,
9161,
1439,
1631,
1627,
1540,
1723,
937,
452,
1074,
9161,
6199,
5310,
467,
2772,
59,
11070,
18000,
533,
5978,
2772,
59,
508,
2036,
2081,
1746,
1631,
3507,
36,
1540,
1723,
1527,
2874,
3621,
2036,
3433,
4508,
500,
3278,
2036,
1082,
3237,
72,
14123,
3099,
2036,
575,
2428,
249,
10590,
327,
312,
2036,
970,
2036,
2081,
1631,
1627,
1751,
713,
7750,
1806,
2916,
7715,
5723,
7750,
1751,
3961,
361,
7328,
2463,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
estimate thermodynamic observables lattice domain theory recondite generative model piece work demonstrate apply deep generative motorcar determine simulation lattice area hypothesis hope route solving trouble markov chain four card monte carlo mcmc method problematic specifically show productive exemplar used approximation downright value barren muscularity line live mcmc based method limited approximation barren energy difference demonstrate effectiveness advise method acting two dimensional possibility liken mcmc found method elaborated numerical experimentation
| 19
| 493,101
|
[
2,
999,
2788,
3622,
1276,
749,
476,
3653,
10545,
38,
2191,
142,
6429,
431,
717,
1780,
562,
2191,
6165,
9124,
1988,
679,
1276,
1589,
2765,
6070,
4732,
2178,
19753,
80,
2552,
1882,
1249,
4973,
2545,
2565,
6243,
210,
9321,
1855,
223,
16907,
12617,
522,
1056,
3071,
8520,
730,
2590,
12628,
3161,
15338,
4457,
1175,
7006,
6243,
250,
210,
1676,
1056,
2590,
12628,
470,
1608,
717,
2059,
16939,
38,
210,
5136,
312,
673,
2851,
1079,
39,
6243,
1088,
210,
16195,
869,
9341,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
determination alpha quantum chromodynamics static vigour update present update determination firm coupling alpha quantum chromodynamics static vim update analysis include new lattice data small lattice spacing reach shorter aloofness use well suited perturbative expression compare datum wider distance range comp elaborated appraisal error source contribute uncertainty final event updated value alpha muckle scale mz alphasmz supersedes former result
| 17
| 391,822
|
[
2,
4267,
5357,
406,
11736,
2715,
15486,
371,
2793,
415,
2793,
4267,
6842,
1183,
5357,
406,
11736,
2715,
686,
53,
2793,
494,
2373,
385,
1276,
233,
762,
1276,
7182,
2123,
6928,
16360,
1268,
691,
508,
529,
5534,
4011,
2165,
1845,
14366,
6489,
1193,
889,
141,
16195,
19602,
857,
829,
4503,
1451,
2811,
1170,
5765,
730,
5357,
16429,
7921,
680,
13096,
5357,
2619,
49,
3767,
64,
69,
4753,
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
] |
optimising scintillate neutron detector cosmic ray soil moisture monitor cosmic ray neutron sense crns hefty technique allows non invasive monitoring soil smashed distance scale well matched farming application program nonpareil factor limiting use proficiency within industrial agriculture setting mellow initial cost helium bf tube typically use ground degree neutron monitoring paper discus enjoyment geant optimise substitute scintillator get hold neutron detector crataegus oxycantha applicable challenge cost high tug gene temporal resolution
| 16
| 871,488
|
[
2,
15343,
9097,
103,
2185,
1787,
2689,
1245,
10535,
16029,
5915,
2689,
1245,
2185,
2912,
956,
2758,
678,
16341,
703,
1191,
278,
8326,
3353,
10535,
487,
1952,
64,
1193,
680,
529,
6223,
9224,
70,
542,
1349,
5252,
38,
116,
955,
3962,
508,
1777,
1302,
992,
4558,
12781,
1163,
13097,
102,
1352,
1103,
6510,
6419,
6075,
2593,
508,
1636,
1402,
2185,
3353,
362,
883,
8620,
190,
16055,
14336,
11671,
11096,
3195,
2660,
2185,
1787,
9596,
3477,
16388,
32,
5403,
6702,
39,
225,
42,
3649,
1136,
1103,
298,
6843,
47,
5005,
1675,
1378,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
supergravity background eta deformed ad ad superstring construct supergravity background integrable eta contortion ad ad superstring sigma simulation eta deformation governed matrix solves non split limited classic yang baxter equation superisometry algebra model intercellular substance admit drinfeld jimbo type constructed dynkin diagram relate cartan weyl basis drinfeld jimbo matrix associated inequivalent qaeda typically lead different deformed background two framework considerateness find unimodularity condition connote weyl anomaly satisfied simple root fermionic advertising construct screen background gibe dynkin diagram simple root fermionic find supergravity background previously obtained straight solving supergravity equivalence advert construct supergravity background corresponding dynkin diagram fermionic unsubdivided root
| 9
| 1,783,169
|
[
2,
7449,
1919,
12509,
5735,
198,
198,
14191,
1244,
7449,
1919,
4067,
12509,
230,
3272,
198,
198,
14191,
6131,
679,
12509,
2795,
5711,
766,
6121,
278,
2480,
1676,
5041,
4662,
8617,
552,
477,
86,
3264,
877,
142,
19262,
9590,
13687,
3255,
10346,
16426,
53,
2697,
654,
2776,
14574,
2543,
5369,
8295,
3688,
2272,
10346,
16426,
53,
2697,
766,
1187,
14682,
6184,
13177,
2593,
840,
467,
5735,
1919,
312,
609,
520,
17539,
696,
11841,
104,
587,
923,
1916,
3688,
2595,
5838,
1004,
3257,
5046,
10204,
1244,
8964,
1919,
5484,
38,
14574,
2543,
1004,
3257,
5046,
696,
7449,
1919,
2240,
970,
4449,
2178,
7449,
3314,
7364,
36,
1244,
7449,
1919,
1309,
14574,
2543,
5046,
2516,
16161,
360,
2692,
3257,
3
] |
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
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.