Results 81 to 90 of about 726,677 (214)

Where Mathematical Symbols Come From

open access: yesTopics in Cognitive Science, Volume 18, Issue 1, Page 169-186, January 2026.
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
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
wiley   +1 more source

Poincar\'{e} type inequalities on the discrete cube and in the CAR algebra

open access: yes, 2007
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

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
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]

open access: yesJournal of the Australian Mathematical Society, 2016
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.

open access: yesНауковий вісник Ужгородського університету. Серія «Математика і інформатика», 2021
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.
openaire   +1 more source

Investigation of signature cube of universal boolean algebra.

open access: yesНауковий вісник Ужгородського університету. Серія «Математика і інформатика», 2020
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
openaire   +1 more source

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