Results 1 to 10 of about 1,179 (76)
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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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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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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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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A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]
Physics AccessThis study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
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Spatial reasoning with augmented points: Extending cardinal directions with local distances
Journal of Spatial Information Science, 2012 We present an approach for supplying existing qualitative direction calculi with a distance component to support fully fledged positional reasoning. The general underlying idea of augmenting points with local reference properties has already been applied
Reinhard Moratz, Jan Oliver Wallgrün
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Going Beyond the Data as the Patching (Sheaving) of Local Knowledge
Frontiers in Psychology, 2018 Consistently predicting outcomes in novel situations is colloquially called “going beyond the data,” or “generalization.” Going beyond the data features in spatial and non-spatial cognition, raising the question of whether such features have a common ...
Steven Phillips
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On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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SYSTEMATICS OF COINCIDENCE SITE LATTICES OF CRYSTALS
Конденсированные среды и межфазные границы, 2018 . The object of this study is polycrystalline materials containing intercrystalline boundaries as one of the accompanying components of the defective structure. A wide variety of geometric characteristics that determine the atomic structure and physical
Boris M. Darinskiy +2 more
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