Results 241 to 250 of about 148,877 (263)

Symmetric Identities Involving Discrete Appell Sequences

Bulletin of the Malaysian Mathematical Sciences Society
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Wu, Lei, Pan, Hao
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Symmetric Functions and Bijective Identities

1992
Publisher Summary This chapter discusses the concept of symmetric functions and bijective identities. One of the latest interests of Combinatorics is the development of a systematic theory of bijective proofs. In this context, the idea of proving identities among symmetric functions by bijective arguments is recalled.
SENATO PULLANO, Domenico, A. VENEZIA
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Skew-Symmetric Differential Operatorsand Combinatorial Identities

Monatshefte f�r Mathematik, 1999
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Symmetric units and group identities

manuscripta mathematica, 1998
In the paper under review the authors discuss when the set of symmetric units of a group ring satisfies a group identity. A unit of a group algebra is called a symmetric unit if it is stable under the involution coming from the natural Hopf algebra structure of the group ring.
Giambruno, A., Sehgal, S. K., Valenti, A.   +2 more
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Symmetric identities in graded algebras

Archiv der Mathematik, 1997
The interest in the symmetric polynomial identity \[ P_n(x_1,\ldots,x_n)=\sum_{\sigma\in S_n}x_{\sigma(1)}\ldots x_{\sigma(n)} \] in the theory of PI-algebras originates from the fact that over a field of characteristic 0 this identity is equivalent to the nil identity and the Nagata-Higman theorem gives that the algebra is nilpotent. The recent result
Bahturin, Y. A., Giambruno, A., Zaicev, M. V.   +2 more
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On algebras satisfying symmetric identities

Archiv der Mathematik, 1994
Consider the non-commutative polynomials \[ s_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} \dots x_{\pi(n)}\quad \text{and} \quad d_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} y_ 1 \dots y_{n - 1} x_{\pi(n)}. \] Let \(R\) be an algebra over a field of characteristic \(p > 0\). We show that if \(s_ n = 0\) (\(d_ n = 0\), resp.) is a polynomial identity
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Pairs of Symmetric and Skew-Symmetric Toeplitz Matrices with Identical Squares

Journal of Mathematical Sciences, 2023
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The identities of symmetric matrices.

2009
Let $H\sb{n}$ denote the subspace of symmetric matrices of $M\sb{n},$ the full $n\times n$ matrix algebra with coefficients in a field F. Let $$T\sb{2n}(x\sb1,\...,x\sb{2n-1}; x\sb0)=\sum\limits\sb{\sigma\in S\sb{2n-1}\atop i\equiv 1, 2\ mod\ 4} (-1)\sp{\sigma+i-1}x\sb{\sigma(1)}\cdots \sbsp{x\sb0}{(i)}\cdots x\sb{\sigma(2n-1)},$$and $e(n) = n$ if n is
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Representationalism, Symmetrical Supervenience and Identity

Philosophia, 2008
According to some representationalists (M. Tye, Ten problems of consciousness, MIT Press, Massachusetts, USA, 1995; W.G. Lycan, Consciousness and experience, MIT Press, Cambridge, Massachusetts, USA, 1996; F. Dretske, Naturalising the mind, MIT Press, Massachusetts, USA 1995), qualia are identical to external environmental states or features.
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Identity-Based Symmetric Private Set Intersection

2013 International Conference on Social Computing, 2013
A private set intersection (PSI) protocol enables two parties to privately compute the intersection of their inputs. Most of its previous versions are unilateral, that is, only one party can learn the intersection and the other learns nothing. Many applications require that both parties can obtain the final result.
Shuo Qiu, Jiqiang Liu, Yanfeng Shi
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