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On Algebraic Knots II : An upper bound on their ropelength(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)

On Algebraic Knots II : An upper bound on their ropelength(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)
We prove that given a Conway algebraic link diagram D with n crossings then D can be embedded on the cubic lattice with a length bounded above by cn, where c is a positive constant independent of D and n. This implies that the ropelength of alternating Conway algebraic knots growths at most linear with their crossing number ...
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Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]

Sci Rep
Shehab MF, Ahmed HM, Hussein HH.
europepmc   +1 more source

On equivalence of algebraic and finite element formulations of prestressed bar structures. [PDF]

Sci Rep
Pełczyński J.
europepmc   +1 more source

Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)

Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)
この論文は国立情報学研究所の電子図書館事業により電子化されました。
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J. F. Adams, Algebraic Topology—A Student's Guide (London Mathematical Society Lecture Note Series 4, Cambridge University Press, 1972), vi+300 pp. [PDF]

Proceedings of the Edinburgh Mathematical Society, 1973
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CAP: Commutative algebra prediction of protein-nucleic acid binding affinities. [PDF]

Mach Learn Sci Technol
Zia M, Suwayyid F, Hozumi Y, Wee J, Feng H, Wei GW.   +5 more
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
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A Review of Topological Data Analysis and Topological Deep Learning in Molecular Sciences. [PDF]

J Chem Inf Model
Wee J, Jiang J.
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Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems. [PDF]

Bull Math Biol
Spector R, Harrington HA, Gaffney EA.
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Davis, J. F. and Kirk, P.Lecture notes in algebraic topology (Graduate Studies in Mathematics, no. 35, American Mathematical Society, 2001), xvi+367 pp., 0 8218 2160 1 (hardback), $55.00 [PDF]

Proceedings of the Edinburgh Mathematical Society, 2003
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