Results 41 to 50 of about 33,775 (162)
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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From Anticommutative Algebras to Combinatorial Structures: A Graph-Theoretic Approach
AxiomsThis article develops a combinatorial and graph-theoretic framework for the study of finite-dimensional anticommutative algebras. Given a fixed basis, we associate to each algebra a directed graph that may contain filled oriented triangles, encoding the ...
Jesús Baena +2 more
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BMC Genomics, 2009 Background Microorganisms adapt their transcriptome by integrating multiple chemical and physical signals from their environment. Shake-flask cultivation does not allow precise manipulation of individual culture parameters and therefore precludes a ...
de Winde Johannes H +7 more
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A New Identity Involving the Chebyshev Polynomials
Mathematics, 2018 In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev ...
Yixue Zhang, Zhuoyu Chen
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Combinatorial identities for vacillating tableaux
Vacillating tableaux are sequences of integer partitions that satisfy specific conditions. The concept of vacillating tableaux stems from the representation theory of the partition algebra and the combinatorial theory of crossings and nestings of matchings and set partitions. In this paper, we further investigate the enumeration of vacillating tableaux
Berikkyzy, Zhanar +4 more
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Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity
Advances in Mathematical Physics, 2018 We give a purely combinatorial proof of the Glaisher-Crofton identity which is derived from the analysis of discrete structures generated by the iterated action of the second derivative.
Pawel Blasiak +2 more
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Le Matematiche, 1996 We specialise an ingeniously contrived identity to obtain a plethora of startling combinatorial identities. Limiting cases include well known evaluations of ζ(2), ζ(4) and ζ(6).
Chu Wenchang
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Frontiers in Genetics, 2017 Transcription factors play a key role in transcriptional regulation of genes and determination of cellular identity through combinatorial interactions. However, current studies about combinatorial regulation is deficient due to lack of experimental data ...
Yusen Ye +3 more
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The Hankel Transform of q-Noncentral Bell Numbers
International Journal of Mathematics and Mathematical Sciences, 2015 We define two forms of q-analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.
Cristina B. Corcino +4 more
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Powers of a Matrix and Combinatorial Identities
, 2005 In this article we obtain a general polynomial identity in $k$ variables, where $k\geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a $k \times k$ matrix. Finally, we use these results to derive various combinatorial identities.
McLaughlin, James, Sury, B.
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