Results 11 to 20 of about 279,221 (324)
FIBERED KNOTS AND VIRTUAL KNOTS [PDF]
Journal of Knot Theory and Its Ramifications, 2013 We introduce a new technique for studying classical knots with the methods of virtual knot theory. Let K be a knot and J be a knot in the complement of K with lk (J, K) = 0. Suppose there is covering space [Formula: see text], where V(J) is a regular neighborhood of J satisfying V(J) ∩ im (K) = ∅ and Σ is a connected compact orientable 2-manifold.
Chrisman M.W., Manturov V.O.
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Journal of Knot Theory and Its Ramifications, 2011 A Chebyshev knot is a knot which admits a parametrization of the form x(t) = Ta(t); y(t) = Tb(t); z(t) = Tc(t + ϕ), where a, b, c integers, Tn(t) is the Chebyshev polynomial of degree n, and φ ∈ R. Chebyshev knots are non-compact analogues of the classical Lissajous knots. We show that there are infinitely many Chebyshev knots with φ = 0.
Koseleff, Pierre-Vincent, Pecker, Daniel
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Subknots in ideal knots, random knots and knotted proteins [PDF]
Scientific Reports, 2015 AbstractWe introduce disk matrices which encode the knotting of all subchains in circular knot configurations. The disk matrices allow us to dissect circular knots into their subknots, i.e. knot types formed by subchains of the global knot. The identification of subknots is based on the study of linear chains in which a knot type is associated to the ...
Rawdon, Eric J. +2 more
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Вестник Дагестанского государственного технического университета: Технические науки, 2023 Objective. This article discusses spatial large-span structures; provides features of their work; as well as layout examples. General dimensions and ways of stabilizing displacements are given.Method.
A. K. Yusupov +2 more
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Influence of ionic conditions on knotting in a coarse-grained model for DNA
Frontiers in Chemistry, 2023 We investigate knotting probabilities of long double-stranded DNA strands in a coarse-grained Kratky-Porod model for DNA with Monte Carlo simulations. Various ionic conditions are implemented by adjusting the effective diameter of monomers.
Sarah Wettermann +2 more
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Knot Floer Homology of (1, 1)-Knots [PDF]
Geometriae Dedicata, 2005 17 pages, 17 ...
Goda, H., Matsuda, H., Morifuji, T.
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Drvna Industrija, 2023 This study presents opportunities for the utilization of timber by-products with defects for manufacturing engineered wood panels. Three gluing methods were proposed for this waste raw material derived from Scots pine (Pinus sylvestris L.) wood.
Daniel Koynov +3 more
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Partial Classification of Lorenz Knots: Syllable Permutations of Torus Knots Words [PDF]
, 2014 We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable permutations of symbolic words corresponding to torus knots. An algorithm to construct symbolic words of satellite Lorenz knots is defined.
Franco, Nuno, Gomes, Paulo, Silva, Luis
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A colored operad for string link infection [PDF]
, 2015 Budney recently constructed an operad that encodes splicing of knots. He further showed that the space of (long) knots is generated over this operad by the space of torus knots and hyperbolic knots, thus generalizing the satellite decomposition of knots ...
Burke, John, Koytcheff, Robin
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Knotting trivial knots and resulting knot types [PDF]
Pacific Journal of Mathematics, 1993 Let \((V,K)\) be a pattern (i.e. \(V\) is a standardly embedded solid torus in oriented \(S^ 3\) and \(K\) a knot in \(V\)) and \(f\) an orientation preserving embedding from \(V\) into \(S^ 3\) such that \(f(V)\) is knotted. Answers to the following questions are given depending upon whether the winding number of \(K_ 2\) in \(V\) is zero or not.
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