Results 1 to 10 of about 946 (76)

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, Efrain Canto-Lugo, Rodrigo Huerta-Quintanilla   +2 more
doaj   +3 more sources

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)
openaire   +4 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Real-world applications of number theory [PDF]

ریاضی و جامعه
The 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
doaj   +1 more source

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
doaj   +1 more source

Rational Numbers under the interpretation of measurement: a study using Frac-Soma

Revista de Ensino de Ciências e Matemática
This article addresses the learning of rational numbers, focusing on their measured interpretation and the use of Frac-Soma as a trigger for both figural and numerical representations, based on activities developed with 7th-grade elementary school ...
Claudia Aparecida Winkelmann, Rita de Cássia Pistóia Mariani, Maria Arlita da Silveira Soares   +2 more
doaj   +1 more source

On Erdos's elementary method in the asymptotic theory of partitions

, 2000
Let m be a positive integer, and let A be the set of all positive integers that belong to a union of r distinct congruence classes modulo m. We assume that the elements of A are relatively prime, that is, gcd(A) = 1. Let p_A(n) denote the number of partitions of n into parts belonging to A.
openaire   +2 more sources

Hierarchical Truncations for Many-Body Expansion Potentials. [PDF]

J Chem Theory Comput
Westheimer BM, Gordon MS, Guidez EB, Lin H.   +3 more
europepmc   +1 more source

Eigenweights for arithmetic Hirzebruch Proportionality. [PDF]

PNAS Nexus
Feng T.
europepmc   +1 more source