Results 81 to 90 of about 726,677 (214)
Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
On the Fourier transform of measures in Besov spaces
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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Poincar\'{e} type inequalities on the discrete cube and in the CAR algebra
We prove Lp Poincare inequalities for functions on the discrete cube and their discrete gradient. We thus recover an exponential inequality and the concentration phenomenon for the uniform probability on the cube first obtained by Bobkov and Gotze ...
Ben-Efraim, Limor +1 more
core +1 more source
The dimension of well approximable numbers
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley +1 more source
EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO [PDF]
Assume that $A$ is a finite-dimensional algebra over some field, and assume that $A$ is weakly symmetric and indecomposable, with radical cube zero and radical square nonzero. We show that such an algebra of wild representation type does not have a nonprojective module $M$ whose ext-algebra is finite dimensional. This gives a complete classification of
openaire +3 more sources
Structure of Signature Cube of Boolean algebra.
This paper is a continuation of the research distributed in [1], the theory of Boolean functions is considered from the point of view of universal algebras. This paper describes a class of functionally incomplete algebras, studies the main types of algebras and their location on the tiers of the signature cube.
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Investigation of signature cube of universal boolean algebra.
In this paper, the theory of Boolean functions from the point of view of universal Boolean algebras is considered. The present article uses the terminology of well-known authors Kurosh, Maltsev, Post and others. In addition, the paper introduces new concepts such as universal Boolean algebra, l−basic algebras, free and canonical algebras.
Мич, I. А. +1 more
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Strong no-loop conjecture for algebras with two simples and radical cube zero [PDF]
Bernt Tore Jensen
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Relative (non-)formality of the little cubes operads and the algebraic Cerf Lemma [PDF]
Victor Tourtchine, Thomas Willwacher
openalex +2 more sources

