Results 31 to 40 of about 33,771 (188)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This 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 ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Tensor products in the category of topological vector spaces are not associative [PDF]

, 2003
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces.
Glockner, Helge
core   +3 more sources

A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

Mathematics, 2020
A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
doaj   +1 more source

Beyond mammals: the evolution of chewing and other forms of oropharyngeal food processing in vertebrates

Biological Reviews, EarlyView.
ABSTRACT Oropharyngeal food processing exhibits a remarkable diversity among vertebrates, reflecting the evolution of specialised ‘processing centres’ associated with the mandibular, hyoid, and branchial arches. Although studies have detailed various food‐processing strategies and mechanisms across vertebrates, a coherent and comprehensive terminology ...
Daniel Schwarz, Maja Mielke, Stephan Handschuh, Anthony Herrel, Patrick Lemell, Léa Da Cunha, Nicolai Konow   +6 more
wiley   +1 more source

Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications

Abstract and Applied Analysis, 2013
The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces.
De-ning Qu, Cao-zong Cheng
doaj   +1 more source

A novel construction approach for the pore structure model principally focuses on the controllable roundness of rock particles

Deep Underground Science and Engineering, EarlyView.
Particle rounding effects comparison of different methods: (a), (b), and (c) are the rounding results using the B‐spline curve method with different R; (d), (e), and (f) are the results of vertex rounding substitution method with different rounding radii.
Jiabin Dong, Ning Yang, Yi Jin, Ying Wu, Dandan Liu, Junling Zheng, Jingyan Zhao   +6 more
wiley   +1 more source

The asymmetric sandwich theorem

, 2011
We discuss the asymmetric sandwich theorem, a generalization of the Hahn-Banach theorem. As applications, we derive various results on the existence of linear functionals that include bivariate, trivariate and quadrivariate generalizations of the Fenchel
Galin L. A., Hencky H., Hill R., Prager William, Prandtl L., Sokolovsky V. V.   +5 more
core   +1 more source

Equilibrium points of random generalized games

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, the concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for Lc-majorized correspondences are ...
E. Tarafdar, Xian-Zhi Yuan
doaj   +1 more source

UBVH: Unified Bounding Volume and Scene Geometry Representation for Ray Tracing

Computer Graphics Forum, EarlyView.
Abstract Bounding volume hierarchies (BVHs) are currently the most common data structure used to accelerate ray tracing. The existing BVH methods distinguish between the bounding volume representation associated with the interior BVH nodes and the scene geometry representation associated with leaf nodes.
M. Káčerik, J. Bittner
wiley   +1 more source

Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the ...
George Xian-Zhi Yuan, E. Tarafdar
doaj   +1 more source