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pro vyhledávání: '"Ducharme, Andrew"'
Unifying trigonometric and hyperbolic function derivatives via negative integer order polylogarithms
Autor:
Ducharme, Andrew
Special functions like the polygamma, Hurwitz zeta, and Lerch zeta functions have sporadically been connected with the nth derivatives of trigonometric functions. We show the polylogarithm $\text{Li}_s(z)$, a function of complex argument and order $z
Externí odkaz:
http://arxiv.org/abs/2405.19371
Autor:
Ducharme, Andrew
A knot K is the resultant of a knot H if there exists a minimal crossing diagram D of K such that some crossings of D can be altered to produce H. K is fertile if every prime knot H with crossing number less than c(K) is a resultant of K. K is n-fert
Externí odkaz:
http://arxiv.org/abs/2303.15650
Autor:
Ducharme, Andrew, Peters, Emily
Publikováno v:
Involve 13 (2020) 633-654
We explore free knot diagrams, which are projections of knots into the plane which don't record over/under data at crossings. We consider the combinatorial question of which free knot diagrams give which knots and with what probability. Every free kn
Externí odkaz:
http://arxiv.org/abs/1912.06286
Publikováno v:
Microscopy & Microanalysis; 2024 Supplement, Vol. 30, p1-5, 5p
Publikováno v:
Microscopy & Microanalysis; 2024 Supplement, Vol. 30, p1-5, 5p
Akademický článek
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Publikováno v:
Microscopy & Microanalysis; 2022 Supplement, Vol. 28, p2504-2505, 2p
Publikováno v:
Microscopy & Microanalysis; 2021 Supplement 1, Vol. 27, p746-747, 2p