Results 11 to 20 of about 18,923 (306)
Scale Transformations in Metric-Affine Geometry [PDF]
Universe, 2019 This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation.
Damianos Iosifidis, Tomi Koivisto
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Affine Transformations and Analytic Capacities [PDF]
Transactions of the American Mathematical Society, 1995 Analytic capacities are set functions defined on the plane which may be used in the study of removable singularities, boundary smoothness and approximation of analytic functions belonging to some function space. The symmetric concrete Banach spaces form a class of function spaces that includes most spaces usually studied.
Thomas Dowling, Anthony G. O’Farrell
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Cremona Transformations that are Affine Automorphisms [PDF]
Proceedings of the American Mathematical Society, 1984 We present the condition on which a Cremona transformation induces an automorphism of A 2 {{\mathbf {A}}^2} .
Hisao Yoshihara
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Flat affine manifolds and their transformations [PDF]
manuscripta mathematica, 2020 More references have been added. In particular, the reference to Jack Vey's thesis. We have corrected some typos and included some other changes.
Medina, Alberto +2 more
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Reversibility of affine transformations
Proceedings of the Edinburgh Mathematical Society, 2023 AbstractAn element g in a group G is called reversible if g is conjugate to g−1 in G. An element g in G is strongly reversible if g is conjugate to g−1 by an involution in G. The group of affine transformations of $\mathbb D^n$ may be identified with the semi-direct product $\mathrm{GL}(n, \mathbb D) \ltimes \mathbb D^n $, where $\mathbb D:=\mathbb R, \
Krishnendu Gongopadhyay +2 more
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Affine transformations of a Leonard pair [PDF]
The Electronic Journal of Linear Algebra, 2007 Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A : V \to V$ and $A^* : V \to V$ that satisfy (i) and (ii) below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix ...
Kazumasa Nomura, Paul Terwilliger
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Quantization for Infinite Affine Transformations
Fractal and Fractional, 2022 Quantization for a probability distribution refers to the idea of estimating a given probability by a discrete probability supported by a finite set. In this article, we consider a probability distribution generated by an infinite system of affine transformations {Sij} on R2 with associated probabilities {pij} such that pij>0 for all i,j∈N and ∑i,j ...
Doğan Çömez +1 more
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Extreme affine transformations [PDF]
Communications in Mathematical Physics, 1976 We classify the extreme points of the compact convex set of affine maps of IR n which map into itself the closed unit ball. This work is a preliminary step towards solving the problem of finding the extreme points of the compact convex set of affine maps of theN×N density matrices (dynamical maps of anN-level system) and forn=3 furnishes the solution ...
Gorini, Vittorio, Sudarshan, E. C. G.
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International Journal of Distributed Sensor Networks, 2022 The Fruit Fly Optimization Algorithm is a swarm intelligence algorithm with strong versatility and high computational efficiency. However, when faced with complex multi-peak problems, Fruit Fly Optimization Algorithm tends to converge prematurely.
Ru-Yu Wang +3 more
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Chinese Character Component Deformation Based on AHP
Applied Sciences, 2022 Since Chinese characters are composed of components, deforming the components in a small number of existing calligraphy characters to generate new characters is an effective method to produce a Chinese character library in the same style.
Tian Chen, Fang Yang, Xiang Gao
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