Results 1 to 10 of about 409,094 (131)
Applied Mathematics, 2020 Knot theory is a branch of topology in pure mathematics, however, it has been increasingly used in different sciences such as chemistry. Mathematically, a knot is a subset of three-dimensional space which is homeomorphic to a circle and it is only defined in a closed loop. In chemistry, knots have been applied to synthetic molecular design. Mathematics
Tahmineh Azizi, Jacob Pichelmeyer
openaire +3 more sources
2007 IEEE International Conference on Bioinformatics and Biomedicine (BIBM 2007), 2007 GENMINER is a smart adaptation of closed itemsets based association rules extraction to genomic data. It takes advantage of the novel NORDI discretization method and of the JCLOSE algorithm to efficiently generate minimal non-redundant association rules.
Joel H. Saltz +5 more
openaire +35 more sources
Topological Expansion, Study and Applications [PDF]
Topology and its Applications, 160, p 2121-2139 , (2013), 2012 In this paper, we introduce the notion of expanding topological space. We define the topological expansion of a topological space via local multi-homeomorphism over coproduct topology, and we prove that the coproduct family associated to any fractal family of topological spaces is expanding.
arxiv +1 more source
Space, matter and topology [PDF]
Nature Physics 12, 616 (2016), 2016 An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
arxiv +1 more source
Brandt extensions and primitive topological inverse semigroups [PDF]
Published in: International Journal of Mathematics and
Mathematical Sciences 2010 (2010) Article ID 671401, 13 pages, 2010 In the paper we study (countably) compact and (absolutely) $H$-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.
arxiv +1 more source
, 2022 <p>Equivalence, duality, and invariance are the pin-points of unification in modern theoretical physics that got the twist of topologies when going beyond the notions of differential and conformal domains to geometries to the symplectic norm of topologies with the pillars being the algebraic geometry taking the counting of specified states ...
openaire +1 more source
, 2005 The phenomenon of quantum number fractionalization is explained. The relevance of non-trivial phonon field topology is emphasized.
arxiv +1 more source
We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.
arxiv +1 more source