Results 21 to 30 of about 1,456,296 (195)

A master identity for Horadam numbers [PDF]

arXiv, 2019
We derive an identity involving Horadam numbers. Numerous new identities as well as those found in the existing literature are subsumed in this single identity.
arxiv  

Non-commutative Sylvester's determinantal identity [PDF]

arXiv, 2007
Sylvester's identity is a classical determinantal identity with a straightforward linear algebra proof. We present a new, combinatorial proof of the identity, prove several non-commutative versions, and find a $\beta$-extension that is both a generalization of Sylvester's identity and the $\beta$-extension of the MacMahon master theorem.
arxiv  

Some Variations of Two Combinatorial Identities [PDF]

arXiv, 2017
Given two combinatorial identities proved earlier, a new set of variations of these combinatorial identities is listed and proved with the integral representation method. Some identities from literature are shown to be special cases of these new identities.
arxiv  

Analogues of cyclic insertion type identities for multiple zeta star values [PDF]

arXiv, 2018
We prove an identity for multiple zeta star values, which generalises some identities due to Imatomi, Tanaka, Tasaka and Wakabayashi. This identity gives an analogue of cyclic insertion type identities, for multiple zeta star values, and connects the block decomposition with Zhao's generalised 2-1 formula.
arxiv  

Logic of Identity and Identity of Contradiction

Kritike: An Online Journal of Philosophy, 2017
Western philosophy has mainly developed in accordance with the three laws of identity, noncontradiction and excluded middle, also known as “laws of thought”. Since Zen Buddhism often violates these apparently indisputable logical principles, a superficial reading may induce the idea that Zen Buddhism is a completely irrational, illogical doctrine.
openaire   +3 more sources

Number Identities and Integer Partitions [PDF]

arXiv, 2019
Using a specific form of the triple product identity, polygonal number identities are stated. Further number identities are examined that can be considered identities related to modular sets of numbers. The identities can be used to give results on integer partitions with parts from numbers in modular arithmetic progression.
arxiv  

A Generalization of the Chu-Vandermonde Convolution and some Harmonic Number Identities [PDF]

arXiv, 2017
A generalization of the Chu-Vandermonde convolution is presented and proved with the integral representation method. This identity can be transformed into another identity, which has as special cases two known identities. Another identity that is closely related to this identity is presented and proved.
arxiv  

Identities for Fibonacci and Lucas polynomials derived from a book of Gould [PDF]

arXiv, 2004
This note is dedicated to Professor Gould. The aim is to show how the identities in his book "Combinatorial Identities" can be used to obtain identities for Fibonacci and Lucas polynomials. In turn these identities allow to derive a wealth of numerical identities for Fibonacci and Lucas numbers.
arxiv  

Identities and Identity Work in Organizations

International Journal of Management Reviews, 2014
Identities, people's subjectively construed understandings of who they were, are and desire to become, are implicated in, and thus key to understanding and explaining, almost everything that happens in and around organizations. The research contribution that this review paper makes is threefold.
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An elliptic generalization of Schur's Pfaffian identity [PDF]

arXiv, 2004
We present a Pfaffian identity involving elliptic functions, whose rational limit gives a generalization of Schur's Pfaffian identity for Pf ((x_j - x_i)/(x_j + x_i)). This identity is regarded as a Pfaffian counterpart of Frobenius identity, which is an elliptic generalization of Cauchy's determinant identity for det (1/ (x_i + x_j)).
arxiv