Results 11 to 20 of about 610,031 (298)

Some extensions of Chu's formulas and further combinatorial identities [PDF]

open access: yesMathematica Bohemica
We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
doaj   +3 more sources

Pfaffian Identities: A Combinatorial Approach [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2001
The Pfaffian of a skew symmetric matrix of even order is the square root of its determinant. \textit{D. E. Knuth} [Electron. J. Comb. 3, No. 2, Research paper R5, 13 p. (1996); printed version J. Comb. 3, No. 2, 147-159 (1996; Zbl 0862.15007)] suggested a combinatorial approach to Pfaffians based on arguments of graph theory and obtained an elegant ...
Hamel, A.M.
openaire   +4 more sources

Combinatorial identities in dual sequences [PDF]

open access: yesEuropean Journal of Combinatorics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Zhi-Wei
openaire   +4 more sources

Combinatorial interpretations for identities using chromatic partitions [PDF]

open access: yes, 2021
summary:We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition ...
Ferreira Santos, Wagner   +2 more
core   +1 more source

Variations on a result of Bressoud [PDF]

open access: yes, 2013
The well-known Rogers-Ramanujan identities have been a rich source of mathematical study over the last fifty years. In particular, Gordon’s generalization in the early 1960s led to additional work by Andrews and Bressoud in subsequent years ...
Kurşungöz, Kağan, Sellers, James A.
core   +2 more sources

Combinatorial representations [PDF]

open access: yes, 2011
23pp. Submitted to J. Combinatorial Theory (Series A)arXiv:1109.1216v1 [math.CO]23pp. Submitted to J. Combinatorial Theory (Series A)23pp. Submitted to J.
Maximilien Gadouleau   +10 more
core   +1 more source

Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model [PDF]

open access: yes, 2009
The research work discussed in this thesis investigated the application of combinatorics and graph theory in the analysis of the partition function of the Ising Model. Chapter 1 gives a general introduction to the partition function of the Ising Model
Lin, Ming-Shr Matt
core   +1 more source

Combinatorial ink-jet printing for ceramic discovery [PDF]

open access: yes, 2006
PhDAn aspirating and dispensing printer established inside a robot gantry equipped with furnace and measurement table is used to prepare thick-film combinatorial libraries.
Wang, Jian
core   +4 more sources

Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
doaj   +1 more source

Factorizations related to some numerical triangles

open access: yesSpecial Matrices, 2017
An asymmetric combinatorial matrix with two free parameters is factored in 4 different ways. The results are obtained by a combination of guessing and applying combinatorial identities.
Prodinger Helmut
doaj   +1 more source

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