Results 1 to 10 of about 4,897,130 (238)
Weakly symmetric functions on spaces of Lebesgue integrable functions
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space.
T.V. Vasylyshyn, V.A. Zahorodniuk
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Block sensitivity of weakly symmetric functions [PDF]
Theoretical Computer Science, 2006 \textit{N. Nisan} [SIAM J. Comput. 20, No. 6, 999--1007 (1991; Zbl 0737.68028)] introduced the concept of block sensitivity of a Boolean function \(f\), denoted by \(\text{bs}(f)\), proved tight bounds for computing \(\text{bs}(f)\) on a CREW PRAM and showed that block sensitivity is polynomially related to many other measures of complexity.
Sun, Xiaoming
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SymmetryWe study the space of continuous linear functionals approximated by weakly symmetric continuous linear functionals on the complex Banach space ℓ1 of all absolutely summing complex sequences. We construct the sequence of groups of symmetries on ℓ1, obtain the structure of corresponding weakly symmetric continuous linear functionals, find the completion ...
Taras Vasylyshyn, Andriy Zagorodnyuk
exaly +5 more sources
Weakly Symmetric Functions and Weakly Symmetrically Continuous Functions
Real Analysis Exchange, 2015 We prove that there exists a nowhere weakly symmetric function $f: \mathbb{R} \rightarrow \mathbb{R}$ that is everywhere weakly symmetrically continuous and everywhere weakly continuous. Existence of a nowhere weakly symmetrically continuous function $f: \mathbb{R} \rightarrow \mathbb{R}$ that is everywhere weakly symmetric remains open.
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The equivalence of two graph polynomials and a symmetric function [PDF]
, 2009 The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD +5 more
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Algebras of weakly symmetric functions on spaces of Lebesgue measurable functions
Carpathian Mathematical Publications, 2023 In this work, we investigate algebras of block-symmetric and weakly symmetric polynomials and analytic functions on complex Banach spaces of Lebesgue measurable functions, for which the $p$th power of the absolute value is Lebesgue integrable, where $p\in[1,+\infty),$ and Lebesgue measurable essentially bounded functions on $[0,1].$ We construct ...
Burtnyak, I. V. +3 more
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Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
SciPost Physics, 2022 We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson ...
Subham Dutta Chowdhury, Kausik Ghosh, Parthiv Haldar, Prashanth Raman, Aninda Sinha
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On nowhere weakly symmetric functions and functions with two-element range [PDF]
Fundamenta Mathematicae, 2001 The authors deal with two-valued functions \(f: R\to\{0,1\}\). In such a case the notion of the weak symmetry (resp., the weak symmetric continuity) can be formulated in the following way: There exists a sequence \(\{h_n\}\), \(h_n\to 0\), such that \(f(x+ h_n)= f(x- h_n)= f(x)\) (resp., \(f(x+ h_n)= f(x- h_n)\)) for each \(n\).
Krzysztof Ciesielski +2 more
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Asymmetric hypergeometric laser beams [PDF]
Компьютерная оптика, 2019 Here we study asymmetric Kummer beams (aK-beams) with their scalar complex amplitude being proportional to the Kummer function (a degenerate hypergeometric function).
Victor Kotlyar +2 more
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On coincidence and fixed-point theorems in fuzzy symmetric spaces [PDF]
Journal of Hyperstructures, 2012 In this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self ...
T. K. Samanta +4 more
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