Results 31 to 40 of about 120,659 (273)
Exact computation for existence of a knot counterexample
Applied General Topology, 2019 Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in scientic visualization, but did not provide a formal proof of self ...
K. Marinelli, T. J. Peters
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A combinatorial approach to knot recognition
, 2015 This is a report on our ongoing research on a combinatorial approach to knot recognition, using coloring of knots by certain algebraic objects called quandles.
A Fish +14 more
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Renormalization and Knot Theory [PDF]
Journal of Knot Theory and Its Ramifications, 1997 We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory as well as number theory and report on recent results in support of this connection.
openaire +3 more sources
Advanced Materials, EarlyView.This review systematically summarizes recent advances in porosity engineering of MXenes, with a focused discussion on their structure‐governed energy storage properties. A critical analysis of structure–property relationships is presented across alkali‐ion batteries, multivalent‐ion batteries, and supercapacitors.
Shude Liu +8 more
wiley +1 more source
Period and toroidal knot mosaics
, 2017 Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on `Quantum knots and mosaics' to give a precise and workable definition of quantum knots, intended to represent an actual physical quantum system.
Hong, Kyungpyo +4 more
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INTRODUCTION TO VIRTUAL KNOT THEORY [PDF]
Journal of Knot Theory and Its Ramifications, 2011 This paper is an introduction to virtual knot theory and an exposition of new ideas and constructions, including the parity bracket polynomial, the arrow polynomial, the parity arrow polynomial and categorifications of the arrow polynomial.
openaire +4 more sources
Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Perspectives of differential expansion
Physics Letters B, 2020 We outline the current status of the differential expansion (DE) of colored knot polynomials i.e. of their Z–F decomposition into representation– and knot–dependent parts.
L. Bishler, A. Morozov
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Magnetic Textiles: A Review of Materials, Fabrication, Properties, and Applications
Advanced Materials Technologies, EarlyView.Magnetic textiles (M‐textiles) are emerging as a programmable materials platform that merges magnetic matter with hierarchical textile structures. This article consolidates magnetic material classes, textile architectures, and fabrication and magnetization strategies, revealing structure–property–function relationships that govern magneto‐mechanical ...
Li Ke +3 more
wiley +1 more source
Three blocks solvable lattice models and Birman–Murakami–Wenzl algebra
Nuclear Physics B, 2019 Birman–Murakami–Wenzl (BMW) algebra was introduced in connection with knot theory. We treat here interaction round the face solvable (IRF) lattice models.
Vladimir Belavin, Doron Gepner
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