Results 21 to 30 of about 63,650 (269)
Recursive formulae for the multiplicative partition function
International Journal of Mathematics and Mathematical Sciences, 1999 For a positive integer n, let f(n) be the number of essentially different ways of writing n as a product of factors greater than 1, where two factorizations of a positive integer are said to be essentially the same if they differ only in the order of the
Jun Kyo Kim, Sang Guen Hahn
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Ramanujan-type congruences modulo 4 for partitions into distinct parts
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we consider the partition function Q(n) counting the partitions of n into distinct parts and investigate congruence identities of the form Q(p⋅n+p2-124)≡0 (mod4),Q\left( {p \cdot n + {{{p^2} - 1} \over {24}}} \right) \equiv 0\,\,\,\left(
Merca Mircea
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A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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The genesis of the sports clubs movement in Poland
Journal of Education, Health and Sport, 2020 The formation of the first Polish sports associations is not only an important stage in the development of Polish sport, but is also a crucial element of Polish tradition and culture.
Piotr Kędzia
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From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
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The Homological Nature of Entropy
Entropy, 2015 We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions.
Pierre Baudot, Daniel Bennequin
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n-Color partitions with weighted differences equal to minus two
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
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Probes for fault localization in computer networks
Journal of Telecommunications and Information Technology, 2004 Fault localization is a process of isolating faults responsible for the observable malfunctioning of the managed system. This paper reviews some existing approaches of this process and improves one of described techniques - the probing.
Wiesław Traczyk
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A q-Series Congruence Inspired by Andrews and Ramanujan
Axioms, 2023 For each s∈{1,3,5}, we consider Rs(n) to be the number of the partitions of n into parts not congruent to 0, ±s(mod12). In recent years, some relations for computing the value of R3(n) were studied.
Mircea Merca
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Combinatorics of k-shapes and Genocchi numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new ...
Florent Hivert, Olivier Mallet
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