## symmetric relation

Overview page. Subjects: Computing.

A binary relation ∼ on a set *S* is symmetric if, for all *a* and *b* in *S*, whenever *a* ∼ *b* then *b* ∼ *a*.

##
The *O*(*N*) Vector Model For *N* Large

in** Quantum Field Theory and Critical Phenomena**

June 2002; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 7438 words.

The preceding chapters derived universal properties of critical systems within the framework of the formal ε = 4 - *d* expansion. It is, therefore, reassuring to verify that the results...

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## Lie Groups and Lie Algebras

October 2012; p ublished online January 2013 .

Book. Subjects: Mathematical and Statistical Physics. 216 pages.

This book is based on lectures given to graduate students in physics at the University of Wisconsin-Madison. Group theory has been around for many years and the only thing new in this book...

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## FLEXUAL WAVES IN INCOMPRESSIBLE PRE-STRESSED ELASTIC COMPOSITES

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 1997; p ublished online November 1997 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

In this paper some dynamic properties of symmetric, 4-ply (3 layer), pre-stressed, incompressible elastic laminated plates are discussed. The dispersion relation arising from flexural wave...

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## Singular integral equations with two fixed singularities and applications to fractured composites

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2015; p ublished online November 2015 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 7685 words.

A symmetric characteristic singular integral equation with two fixed singularities at the endpoints in the class of functions bounded at the ends is analysed. It reduces to a vector Hilbert...