Results 1 to 10 of about 50,648 (222)
Modularity, balance, and frustration in student social networks: The role of negative relationships in communities. [PDF]
PLoS ONE, 2022 Signed networks provide information to study the structure and composition of relationships (positive and negative) among individuals in a complex system. Individuals, through different criteria, form groups or organizations called communities. Community
José Brito-Montes +2 more
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Counting certain quadratic partitions of zero modulo a prime number
Open Mathematics, 2021 Consider an odd prime number p≡2(mod3)p\equiv 2\hspace{0.3em}\left(\mathrm{mod}\hspace{0.3em}3). In this paper, the number of certain type of partitions of zero in Z/pZ{\mathbb{Z}}\hspace{-0.1em}\text{/}\hspace{-0.1em}p{\mathbb{Z}} is calculated using a ...
Xiao Wang, Li Aihua
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Homogeneous Banach Spaces as Banach Convolution Modules over M(G)
Mathematics, 2022 This paper is supposed to form a keystone towards a new and alternative approach to Fourier analysis over LCA (locally compact Abelian) groups G.
Hans Georg Feichtinger
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Elementary proofs in the theory of partitions
Mathematische Zeitschrift, 1963 Let \(k>1\) be an integer, and let \(a_1, a_2, \ldots, a_s\) be \(s\) distinct positive integers not exceeding \(k\). The set of nonnegative integers \(\nu\) such that \(\nu\equiv a_i \pmod k\) for some \(i\), \(1\leq i\leq s\) is called a congruence set modulo \(k\), and is denoted by \(a\). Let \(F(x; a)= \prod_{\nu\in a} (1-x^\nu)^{-1} = \sum p_n(a)
E. Grosswald
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A Probabilistic Proof of the Rogers Ramanujan Identities [PDF]
, 2000 The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural numbers.
Fulman, Jason
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A note on the hausdorff dimension of the singular set for minimizers of the mumford-shah energy [PDF]
, 2013 We give a more elementary proof of a result by Ambrosio, Fusco and Hutchinson to estimate the Hausdorff dimension of the singular set of minimizers of the Mumford-Shah energy (see [2, Theorem 5.6]).
De Lellis, Camillo +2 more
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The part-frequency matrices of a partition [PDF]
, 2016 A new combinatorial object is introduced, the part-frequency matrix sequence of a partition, which is elementary to describe and is naturally motivated by Glaisher's bijection.
Keith, William J.
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A Lost Theorem: Definite Integrals in Asymptotic Setting [PDF]
, 2008 We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to set up integrals in applications of calculus without using Riemann sums ...
Cavalcante, Ray, Todorov, Todor D.
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Real-world applications of number theory [PDF]
ریاضی و جامعهThe above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
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Hypersymmetric functions and Pochhammers of 2×2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, 2004 We introduce the hypersymmetric functions of 2×2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices.
A. F. Antippa
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