Results 41 to 50 of about 1,618,289 (269)
Geometric and topological entropies of sphere packing [PDF]
Physical Review E, 2022 We present a statistical mechanical description of randomly packed spherical particles, where the average coordination number is treated as a macroscopic thermodynamic variable. The overall packing entropy is shown to have two contributions: geometric, reflecting statistical weights of individual configurations, and topological, which corresponds to ...
Jack A. Logan, Alexei V. Tkachenko
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The canonical partial metric and the uniform convexity on normed spaces
Applied General Topology, 2005 In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed spaces in terms of the canonical ...
S. Oltra +2 more
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Topological representation of geometric theories [PDF]
Mathematical Logic Quarterly, 2012 AbstractUsing Butz and Moerdijk's topological groupoid representation of a topos with enough points, a ‘syntax‐semantics’ duality for geometric theories is constructed. The emphasis is on a logical presentation, starting with a description of the semantic topological groupoid of models and isomorphisms of a theory.
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Mathematics, 2023 User equipment (UE) location estimation in emerging 5G/B5G/6G Ultra-Dense Networks (UDNs) is a breakthrough technology in future wireless info-communication ecosystems.
Grigoriy Fokin, Andrey Koucheryavy
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Topology Optimization of Structures Made of Discrete Geometric Components With Different Materials
Journal of Mechanical Design, 2018 We present a new method for the simultaneous topology optimization and material selection of structures made by the union of discrete geometric components, where each component is made of one of multiple available materials.
Hesaneh Kazemi, A. Vaziri, J. Norato
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Topology of random geometric complexes: a survey [PDF]
Journal of Applied and Computational Topology, 2014 In this expository article, we survey the rapidly emerging area of random geometric simplicial complexes. Random geometric complexes may be viewed as higher-dimensional generalizations of random geometric graphs, where vertices are generated by a random ...
O. Bobrowski, Matthew Kahle
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Geometric Test for Topological States of Matter [PDF]
Physical Review Letters, 2022 We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness, or topologicity, of the quantum state of matter and apply our test to the Laughlin states. Laughlin states form
S. Klevtsov, D. Zvonkine
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Evolutionary Khovanov homology
AIMS MathematicsKnot theory, a subfield in geometric topology, is the study of the embedding of closed circles into three-dimensional Euclidean space, motivated by the ubiquity of knots in daily life and human civilization.
Li Shen, Jian Liu, Guo-Wei Wei
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Level-set based topology optimization considering milling directions via fictitious physical model
Mechanical Engineering Journal, 2020 Topology optimization is the most flexible structural optimization method that allows the topological modification as well as the shape changes. Topology optimization techniques have recently been utilized in engineering applications regarding multi ...
Doe YOUNG HUR +4 more
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Geometry and Topology Optimization of Switched Reluctance Machines: A Review
IEEE Access, 2022 Switched reluctance machines (SRMs) have recently attracted more interest in many applications due to the volatile prices of rare-earth permanent magnets (PMs) used in permanent magnet synchronous machines (PMSMs).
Mohamed Abdalmagid +3 more
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