Results 1 to 10 of about 115,684,632 (178)
Topological and entropic characterization of nitrogenated holey graphene [PDF]
Scientific ReportsNitrogenated holey graphene (NHG), a two-dimensional (2D) carbon nanomaterial, demonstrates exceptional electrical, thermal, and chemical characteristics owing to its inherent porosity and nitrogen doping.
S. Prabhu +3 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Topological Deformations of Manifolds by Algebraic Compositions in Polynomial Rings
SymmetryThe interactions between topology and algebraic geometry expose various interesting properties. This paper proposes the deformations of topological n-manifolds over the automorphic polynomial ring maps and associated isomorphic imbedding of locally flat ...
Susmit Bagchi
exaly +2 more sources
Journal of Function SpacesAlgebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi +4 more
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Quantitative description of internal 3D structure of a geological sample using algebraic topology methods [PDF]
Scientific ReportsDescription of the internal spatial structure and texture of geological objects is an important element in their study. A qualitative description of the internal morphology of samples, despite its clarity and wide applicability, does not have a ...
Mikhail Chernyavskiy +7 more
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On the geometry of physical measurements: Topological and algebraic aspects [PDF]
Journal of Geometry and Physics, 2020 We study the mathematical structure of the notion of measurement space, which extends aspects of noncommutative topology that are based on quantale theory.
P. Resende
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Topological and algebraic properties of universal groups for right-angled buildings [PDF]
Forum mathematicum, 2020 We study universal groups for right-angled buildings. Inspired by Simon Smith’s work on universal groups for trees, we explicitly allow local groups that are not necessarily finite nor transitive.
Jens Bossaert, T. De Medts
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Rational smoothness and affine Schubert varieties of type A [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
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FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS
Фізико-математична освіта, 2022 Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
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Convex geometry over ordered hyperfields [PDF]
Innovations in Incidence Geometry Algebraic Topological and Combinatorial, 2023 We initiate the study of convex geometry over ordered hyperfields. We define convex sets and halfspaces over ordered hyperfields, presenting structure theorems over hyperfields arising as quotients of fields. We prove hyperfield analogues of Helly, Radon
James Maxwell, Ben Smith
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