Results 41 to 50 of about 3,872,829 (369)
Monatshefte für Mathematik, 2016 Given a bounded domain $D \subset {\mathbb R}^n$ strictly starlike with respect to $0 \in D\,,$ we define a quasi-inversion w.r.t. the boundary $\partial D \,.$ We show that the quasi-inversion is bi-Lipschitz w.r.t. the chordal metric if and only if every "tangent line" of $\partial D$ is far away from the origin.
Gendi Wang, Matti Vuorinen, David Kalaj
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Inverse monoids of partial graph automorphisms
, 2020 A partial automorphism of a finite graph is an isomorphism between its vertex induced subgraphs. The set of all partial automorphisms of a given finite graph forms an inverse monoid under composition (of partial maps). We describe the algebraic structure
Jajcay, Robert +3 more
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Squared distance matrices of trees with matrix weights
AKCE International Journal of Graphs and Combinatorics, 2023 Let T be a tree on n vertices whose edge weights are positive definite matrices of order s. The squared distance matrix of T, denoted by Δ, is the ns × ns block matrix with [Formula: see text], where d(i, j) is the sum of the weights of the edges in the ...
Iswar Mahato, M. Rajesh Kannan
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Empowering Metasurfaces with Inverse Design: Principles and Applications
ACS Photonics, 2022 : Conventional human-driven methods face limitations in designing complex functional metasurfaces. Inverse design is poised to empower metasurface research by embracing fast-growing arti fi cial intelligence.
Zhaoyi Li +4 more
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Metals, 2019 Data generated for the Ti−Al−Cr−V system of metallic alloys from our previous publication, where the composition of 102 alloys were computationally Pareto optimized with the objective of simultaneously maximizing the Young’s ...
Rajesh Jha, George S. Dulikravich
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On F-inverse covers of inverse monoids
Journal of Pure and Applied Algebra, 2006 AbstractIt is shown that each finite inverse monoid admits a finite F-inverse cover if and only if the same is true for each finite combinatorial strict inverse semigroup with an identity adjoined if and only if the same is true for the Margolis–Meakin expansion M(H) of each finite elementary abelian p-group H for some prime p.
Karl Auinger, Mária B. Szendrei
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Advancing Structural Health Monitoring with Deep Belief Network-Based Classification
MathematicsStructural health monitoring (SHM) plays a critical role in ensuring the safety and longevity of civil infrastructure by enabling the early detection of structural changes and supporting preventive maintenance strategies.
Álvaro Presno Vélez +2 more
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
Special Matrices, 2019 In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
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Fourier Inversion for Finite Inverse Semigroups [PDF]
SIAM Journal on Discrete Mathematics, 2015 This paper continues the study of Fourier transforms on finite inverse semigroups, with a focus on Fourier inversion theorems and FFTs for new classes of inverse semigroups. We begin by introducing four inverse semigroup generalizations of the Fourier inversion theorem for finite groups.
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The Booleanization of an inverse semigroup
, 2019 We prove that the forgetful functor from the category of Boolean inverse semigroups to inverse semigroups with zero has a left adjoint. This left adjoint is what we term the `Booleanization'.
Lawson, Mark V.
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