Results 1 to 10 of about 14,297 (89)
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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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, Andrzej Nowik
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Block Sensitivity of Weakly Symmetric Functions
Lecture Notes in 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.
Xiaoming Sun
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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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Nontrivial monotone weakly symmetric Boolean functions with six variables are elusive
Theoretical Computer Science, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sui-Xiang Gao +2 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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Symbolic Regulator Sets for a Weakly Nonlinear Discrete Control System with a Small Step
Mathematics, 2022 For a class of discrete weakly nonlinear state-dependent coefficient (SDC) control systems, a suboptimal synthesis is constructed over a finite interval with a large number of steps.
Yulia Danik, Mikhail Dmitriev
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The Källén-Lehmann representation in de Sitter spacetime
Journal of High Energy Physics, 2023 We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the Källén-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are nonnegative.
Manuel Loparco +3 more
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Mixing properties of Ni-Pd liquid alloy
Bibechana, 2013 In this work, thermodynamic and microscopic properties of Ni-Pd liquid alloy at 1873 K have been studied using a simple theory of mixture. In thermodynamic properties, free energy of mixing, heat of mixing and entropy of mixing have been studied.
L Gurung, RP Koirala, D Adhikari
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Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Fix an integer partition lambda that has no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function indexed by lambda and beta is a polynomial generating function in x_1, .., x_n for certain ...
Robert A. Proctor, Matthew J. Willis
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