Results 311 to 320 of about 2,244,428 (329)

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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On Permanental Identities of Symmetric and Skew-Symmetric Matrices in Characteristic p

Canadian Mathematical Bulletin, 1998
AbstractLet Mn(F) be the algebra of n × n matrices over a field F of characteristic p > 2 and let * be an involution on Mn(F). If s1,…,sr are symmetric variables we determine the smallest r such that the polynomialis a *-polynomial identity of Mn(F) under either the symplectic or the transpose involution.
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Identities and Inequalities via Symmetrization

1983
The purpose of this survey paper is to examine some specific applications of the process of averaging over finite groups, compact topological groups, and compact homogeneous manifolds. These applications occur in a variety of different disciplines of pure and applied mathematics, such as (i) classical representation theory of finite groups, (ii ...
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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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Group Identities on Symmetric Units

2010
Let F be an infinite field of characteristic different from 2 and G a group. We examine the set of units, \({\mathcal{U}}^{+}(FG)\), symmetric under the natural involution ∗ sending each group element to its inverse. The conditions under which \({\mathcal{U}}^{+}(FG)\) satisfies a group identity are presented, subject to the restriction that G ∕ T is a
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Some Implicit Summation Formulas and Symmetric Identities for the Generalized Hermite–Bernoulli Polynomials

Mediterranean Journal of Mathematics, 2015
Mushtaque Ahmed Pathan, W. Khan
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Lie Identities on Symmetric Elements

2010
Let F be a field of characteristic different from 2 and G a group. We examine the conditions under which the symmetric elements in FG are Lie nilpotent, bounded Lie Engel, or Lie solvable. For Lie solvability, some restrictions upon G are necessary.
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Power Sum Identities for Arbitrary Symmetric Arrays

SIAM Journal on Applied Mathematics, 1969
Let \([f_n(k)]\), \(k=0,1,\ldots,n\), be an arbitrary symmetric array of numbers in the sense that \(f_n(k)=f_n(n-k)\). A very special case would be the Pascal triangle with \(f_n(k)=\binom{n}{k}\). This paper considers expressions of the general form \(\displaystyle\sum_{k=0}^n k^pf_n(k) = \sum k^pf\), \(p\) an integer, the latter brief symbolism ...
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Skew-Symmetric Differential Operatorsand Combinatorial Identities

Monatshefte f�r Mathematik, 1999
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Some implicit summation formulas and symmetric identities for the generalized Hermite-Based polynomials

, 2014
M. A. Pathan, W. Khan
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