Results 21 to 30 of about 1,012 (183)
Some Remarks on the Fractal Structure of Irrigation Balls
Advanced Nonlinear Studies, 2019 The paper is related to a conjecture by Pegon, Santambrogio and Xia concerning the dimension of the boundary of some sets which we are calling “irrigation balls”.
Devillanova Giuseppe, Solimini Sergio
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N $$ \mathcal{N} $$ = 2* Schur indices
Journal of High Energy Physics, 2023 We find closed-form expressions for the Schur indices of 4d N $$ \mathcal{N} $$ = 2* super Yang-Mills theory with unitary gauge groups for arbitrary ranks via the Fermi-gas formulation. They can be written as a sum over the Young diagrams associated with
Yasuyuki Hatsuda, Tadashi Okazaki
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
Moroccan Journal of Pure and Applied Analysis, 2021 This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In the following, bypassing dynamical systems tools, we propose a simple means of computing the box dimension of the graph of the classical Weierstrass function defined, for any real number~$x$, by \[{\mathcal W}(x)= \sum_{n=0}^{+\infty} \lambda^n\,\cos \
Claire David
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Weierstrass Analytic Functions
Mathematische Annalen, 1966 Weierstrass introduced a complete analytic function as a set consisting of a power series and all its analytic continuations. This definition — a fundamental expansion of Lagrange’s introduction of a function as a power series — was formany decades the only alternative to the classical introduction of functions as laws or rules associating or pairing ...
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A Classification of Elements of Function Space F(
Mathematics, 2023 In this paper, we present a constructive description of the function space of all real-valued functions on R(F(R,R)) by presenting a partition of it into 28 distinct blocks and a closed-form formula for the representative function of each of them.
Mohsen Soltanifar
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Infinite Matrix Products and the Representation of the Matrix Gamma Function
Abstract and Applied Analysis, 2015 We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass.
J.-C. Cortés +3 more
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La mathématique et le pathologique
Philosophia Scientiæ, 2008 We study the arrival of the so-called mathematical monsters (like Weierstrass’ monster, a continuous but nowhere differentiable function) during the 19th century.
Klaus Volkert
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The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
Journal of Inequalities and Applications, 2009 We prove that the Hamy symmetric function Fn(x,r)=∑1≤i1<i2<⋯<ir≤n(∏j=1rxij)1/r is Schur harmonic convex for x∈R+n.
Yuming Chu, Yupei Lv
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Electroless copper deposition and interface characteristics of ionic electroactive polymer
Journal of Materials Research and Technology, 2021 In this study, the cheap copper electrode ionic polymer metal composite (IPMC) was prepared by chemical deposition. The formation mechanism of the copper electrode layer was analyzed firstly, then the surface and cross section morphology, roughness and ...
Liang Yang +3 more
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