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title
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2001.00015
Average angles of triangle in regular polygons
[ "Herman Muzychko" ]
2019-12-31T18:33:03Z
{ "arXiv": [ "math.GM" ], "ACM": [], "MSC": [] }
null
null
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00015" ]
In this article we will consider average angles of triangle, which share the same side with regular polygons. In particular we will count average angles in the triangle, which share the same bottom side with a square with length side <MATH> d=1 </MATH> .
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{ "ID": [ "2001.00015_S1", "2001.00015_S1.1", "2001.00015_S2", "2001.00015_S3", "2001.00015_S4", "2001.00015_S5" ], "heading": [ "<TAG> 1 </TAG> Introduction", "Consider following problem:", "<TAG> 2 </TAG> Problem", "<TAG> 3 </TAG> Code (Python 3)", "<TAG> 4 </TAG> Res...
{ "ID": [], "caption": [], "media": [], "subfigures": [] }
data/metadata/2001.json
2001.00028
Cyclic reduction densities for elliptic curves
[ "Francesco Campagna", "Peter Stevenhagen" ]
2019-12-31T19:00:06Z
{ "arXiv": [ "math.NT" ], "ACM": [], "MSC": [ "11G05", "11R45" ] }
21 pages; this paper extends the earlier ArXiv preprint 2001.00028 by including the case of CM-curves
null
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00028" ]
For an elliptic curve <MATH> E </MATH> defined over a number field <MATH> K </MATH> , the heuristic density of the set of primes of <MATH> K </MATH> for which <MATH> E </MATH> has cyclic reduction is given by an inclusion-exclusion sum <MATH> \delta_{E/K} </MATH> involving the degrees of the <MATH> m </MATH> -division fields <MATH> K_{m} </MATH> of <MATH> E </MATH> over <MATH> K </MATH> . This density can be proved to be correct under assumption of GRH. For <MATH> E </MATH> without complex multiplication (CM), we show that <MATH> \delta_{E/K} </MATH> is the product of an explicit non-negative rational number reflecting the finite entanglement of the division fields of <MATH> E </MATH> and a universal infinite Artin-type product. For <MATH> E </MATH> admitting CM over <MATH> K </MATH> by a quadratic order <MATH> \mathcal{O} </MATH> , we show that <MATH> \delta_{E/K} </MATH> admits a similar ‘factorization’ in which the Artin type product also depends on <MATH> \mathcal{O} </MATH> . For <MATH> E </MATH> admitting CM over <MATH> \overline{K} </MATH> by an order <MATH> \mathcal{O}\not\subset K </MATH> , which occurs for <MATH> K=\mathbf{Q} </MATH> , the entanglement of division fields over <MATH> K </MATH> is non-finite. In this case we write <MATH> \delta_{E/K} </MATH> as the sum of two contributions coming from the primes of <MATH> K </MATH> that are split and inert in <MATH> \mathcal{O} </MATH> . The split contribution can be dealt with by the previous methods, the inert contribution is of a different nature. We determine the ways in which the density can vanish, and provide numerical examples of the different kinds of densities.
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[]
{ "ID": [ "2001.00028_S1", "2001.00028_S2", "2001.00028_S3", "2001.00028_S4", "2001.00028_S5", "2001.00028_S6" ], "heading": [ "<TAG> 1. </TAG> Introduction", "<TAG> 2. </TAG> The density of the set of primes of cyclic reduction", "<TAG> 3. </TAG> Cyclic reduction density in th...
{ "ID": [], "caption": [], "media": [], "subfigures": [] }
data/metadata/2001.json
2001.00034
Contributions of Talent, Perspective, Context and Luck to Success
[ "Bernardo Alves Furtado" ]
2019-12-31T19:00:33Z
{ "arXiv": [ "physics.soc-ph", "cs.CY", "cs.MA" ], "ACM": [ "I.6" ], "MSC": [] }
9 pages, 5 figures, 6 tables
null
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00034" ]
"We propose a controlled simulation within a competitive sum-zero environment as a proxy for disaggr(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00034_S1","2001.00034_S2","2001.00034_S2.1","2001.00034_S2.1.1","2001.00034_S2.2","2001(...TRUNCATED)
{"ID":["2001.00034_F1","2001.00034_F2","2001.00034_F3","2001.00034_F4","2001.00034_F5"],"caption":["(...TRUNCATED)
data/metadata/2001.json
2001.00128
Beyond Symmetries : Anomalies in Transverse Ward--Takahashi Identities
[ "Yi-Da Li", "Qing Wang" ]
2020-01-01T02:37:58Z
{ "arXiv": [ "hep-th", "hep-ph" ], "ACM": [], "MSC": [] }
31 pages
Phys. Rev. D 102, 056008 (2020)
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00128", "https://doi.org/10.1103/PhysRevD.102.056008" ]
"Anomalies in transverse Ward–Takahashi identities are studied, allowing discussion of the feasibi(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00128_S1","2001.00128_S2","2001.00128_S3","2001.00128_S4","2001.00128_S5","2001.00128_S(...TRUNCATED)
{"ID":["2001.00128_F1","2001.00128_F2"],"caption":["<TAG> Figure 1: </TAG> (Divergent) one-loop diag(...TRUNCATED)
data/metadata/2001.json
2001.00153
Dual Adversarial Domain Adaptation
[ "Yuntao Du", "Zhiwen Tan", "Qian Chen", "Xiaowen Zhang", "Yirong Yao", "Chongjun Wang" ]
2020-01-01T07:10:09Z
{ "arXiv": [ "cs.LG", "stat.ML" ], "ACM": [], "MSC": [] }
null
null
null
https://creativecommons.org/publicdomain/zero/1.0/
[ "https://doi.org/10.48550/arXiv.2001.00153" ]
"Unsupervised domain adaptation aims at transferring knowledge from the labeled source domain to the(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00153_S1","2001.00153_S2","2001.00153_S3","2001.00153_S3.1","2001.00153_S3.2","2001.001(...TRUNCATED)
{"ID":["2001.00153_F1","2001.00153_F2","2001.00153_F3","2001.00153_F4"],"caption":["<TAG> Figure 1: (...TRUNCATED)
data/metadata/2001.json
2001.00255
"Mechanism of the Resonant Enhancement of Electron Drift in Nanometre Semiconductor Superlattices Su(...TRUNCATED)
[ "Stanislav M. Soskin", "Igor A. Khovanov", "Peter V. E. McClintock" ]
2020-01-01T18:00:35Z
{ "arXiv": [ "cond-mat.mes-hall", "cond-mat.other", "nlin.CD" ], "ACM": [], "MSC": [] }
"28 pages (including a detailed Contents, for convenience), 12 figures (some of them use postscript (...TRUNCATED)
Physical Review B 100, 235203 (2019)
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00255", "https://doi.org/10.1103/PhysRevB.100.235203" ]
"We address the increase of electron drift velocity that arises in semiconductor superlattices (SLs)(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00255_S1","2001.00255_S2","2001.00255_S3","2001.00255_S3.1","2001.00255_S3.2","2001.002(...TRUNCATED)
{"ID":["2001.00255_F1","2001.00255_F2","2001.00255_F3","2001.00255_F4","2001.00255_F5","2001.00255_F(...TRUNCATED)
data/metadata/2001.json
2001.00309
BlendMask: Top-Down Meets Bottom-Up for Instance Segmentation
[ "Hao Chen", "Kunyang Sun", "Zhi Tian", "Chunhua Shen", "Yongming Huang", "Youliang Yan" ]
2020-01-02T03:30:17Z
{ "arXiv": [ "cs.CV" ], "ACM": [], "MSC": [] }
Accepted to Proc. IEEE Conf. Computer Vision and Pattern Recognition 2020. Fixed typos
null
null
https://creativecommons.org/licenses/by-nc-sa/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00309" ]
"Instance segmentation is one of the fundamental vision tasks. Recently, fully convolutional instanc(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00309_S1","2001.00309_S2","2001.00309_S3","2001.00309_S3.1","2001.00309_S3.2","2001.003(...TRUNCATED)
{"ID":["2001.00309_F1","2001.00309_F2","2001.00309_F3","2001.00309_F4","2001.00309_F5"],"caption":["(...TRUNCATED)
data/metadata/2001.json
2001.00311
Understanding the mesoscopic scaling patterns within cities
[ "Lei Dong", "Zhou Huang", "Jiang Zhang", "Yu Liu" ]
2020-01-02T03:35:04Z
{ "arXiv": [ "physics.soc-ph" ], "ACM": [], "MSC": [] }
null
Sci Rep 10, 21201 (2020)
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00311", "https://doi.org/10.1038/s41598-020-78135-2" ]
"Understanding quantitative relationships between urban elements is crucial for a wide range of appl(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00311_S1","2001.00311_S2","2001.00311_S2.1","2001.00311_S2.2","2001.00311_S2.3","2001.0(...TRUNCATED)
{"ID":["2001.00311_F1","2001.00311_F2","2001.00311_F3","2001.00311_F4"],"caption":["<TAG> Figure 1: (...TRUNCATED)
data/metadata/2001.json
2001.00350
The Demise of Single-Authored Publications in Computer Science: A Citation Network Analysis
[ "Brian K. Ryu" ]
2020-01-02T07:47:44Z
{ "arXiv": [ "cs.DL", "cs.CY" ], "ACM": [], "MSC": [] }
10 pages, 10 figures
null
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00350" ]
"In this study, I analyze the DBLP bibliographic database to study role of single author publication(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00350_S1","2001.00350_S2","2001.00350_S3","2001.00350_S3.1","2001.00350_S3.2","2001.003(...TRUNCATED)
{"ID":["2001.00350_F1","2001.00350_F2","2001.00350_F3","2001.00350_F4","2001.00350_F5","2001.00350_F(...TRUNCATED)
data/metadata/2001.json
2001.00355
Contributions of $K^*_0(1430)$ and $K^*_0(1950)$ in the three-body decays $B\to Kπh$
[ "Wen-Fei Wang", "Jian Chai", "Ai-Jun Ma" ]
2020-01-02T08:20:55Z
{ "arXiv": [ "hep-ph", "hep-ex" ], "ACM": [], "MSC": [] }
36pages, 3figures, accepted for publication in JHEP
JHEP03(2020)162
null
https://creativecommons.org/licenses/by/4.0/
[ "https://doi.org/10.48550/arXiv.2001.00355", "https://doi.org/10.1007/JHEP03(2020)162" ]
"We study the contributions of the resonant states <MATH> K_{0}^{*}(1430) </MATH> and <MATH> K_{0}^{(...TRUNCATED)
{ "ID": "", "type": "", "media": [], "format": [], "components": [], "caption": "" }
[]
{"ID":["2001.00355_S1","2001.00355_S2","2001.00355_S3","2001.00355_S4","2001.00355_S5","2001.00355_S(...TRUNCATED)
{"ID":["2001.00355_F1","2001.00355_F2","2001.00355_F3"],"caption":["<TAG> Figure 1: </TAG> Typical F(...TRUNCATED)
data/metadata/2001.json
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