Results 1 to 10 of about 95,143 (83)
A nanofluidic knot factory based on compression of single DNA in nanochannels
Nature Communications, 2018 Knots form when polymers self-entangle, a process enhanced by compaction with important implications in biological and artificial systems involving chain confinement.
Lili Zeng, Walter W Reisner
exaly +2 more sources
Computation of the Knot Symmetric Quandle and its Application to the Plat Index of Surface-Links [PDF]
Journal of knot theory and its ramifications, 2023 A surface-link is a closed surface embedded in the 4-space, possibly disconnected or non-orientable. Every surface-link can be presented by the plat closure of a braided surface, which we call a plat form presentation.
J. Yasuda
semanticscholar +1 more source
On the braid index of a two-bridge knot [PDF]
Journal of knot theory and its ramifications, 2023 In this paper, we consider two properties on the braid index of a two-bridge knot. We prove an inequality on the braid indices of two-bridge knots if there exists an epimorphism between their knot groups.
Masaaki Suzuki, Anh T. Tran
semanticscholar +1 more source
A new Garside structure on torus knot groups and some complex braid groups [PDF]
Journal of knot theory and its ramifications, 2022 Several distinct Garside monoids having torus knot groups as groups of fractions are known. For [Formula: see text] two coprime integers, we introduce a new Garside monoid [Formula: see text] having as Garside group the [Formula: see text]-torus knot ...
T. Gobet
semanticscholar +1 more source
Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning [PDF]
Journal of knot theory and its ramifications, 2022 In this paper, we present a statistical approach for the discovery of relationships between mathematical entities that is based on linear regression and deep learning with fully connected artificial neural networks.
Daniel Grunbaum
semanticscholar +1 more source
A New Class of Electronic Devices Based on Flexible Porous Substrates
Advanced Science, Volume 9, Issue 7, March 4, 2022., 2022 The progress of various flexible porous substrate‐based electronics is systematically reviewed with a focus on the role and impact of porous structure on device performance. Different functionalization methods and advanced electronic devices on flexible porous substrates are demonstrated.
Yiyuan Zhang +3 more
wiley +1 more source
Combinatorial Knot Theory and the Jones Polynomial [PDF]
Journal of knot theory and its ramifications, 2022 This paper is a memory of the work and influence of Vaughan Jones. It is an exposition of the remarkable breakthroughs in knot theory and low dimensional topology that were catalyzed by his work.
L. Kauffman
semanticscholar +1 more source
Asia-Pacific Journal of Chemical Engineering, Volume 16, Issue 6, November/December 2021., 2021 Abstract Conversion of biomass into saleable biochemicals and fuels requires the use of a pretreatment to enable subsequent processing. Acid sulfite pulping is one of the most cost‐effective strategies, because the chemicals are inexpensive and the technology is available on an industrial scale.
Juha Fiskari, Petri Kilpeläinen
wiley +1 more source
The Computational Complexity of Classical Knot Recognition [PDF]
Journal of knot theory and its ramifications, 2022 The classical knot recognition problem is the problem of determining whether the virtual knot represented by a given diagram is classical. We prove that this problem is in NP, and we give an exponential time algorithm for the problem.
K. Ichihara, Y. Nishimura, Sei'ichi Tani
semanticscholar +1 more source
Stimuli‐responsive photofunctional materials for green and security printing
InfoMat, Volume 3, Issue 1, Page 82-100, January 2021., 2021 This review article summarizes the recent advances in rewritable and security paper using stimuli‐responsive functional materials and gives a detailed overview of the concept, design principles, and examples of the applications in green and security printing.
Yun Ma +5 more
wiley +1 more source