Oxford Index Search Results

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symmetric relation x Mathematics x clear all

symmetric relation

Overview page. Subjects: Computing.

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

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symmetric relation

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 28 words.

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

symmetric relation

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 29 words.

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

symmetric relation

Overview page. Subjects: Computing.

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

See overview in Oxford Index

non-symmetric (of a relation)

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 58 words.

Not *symmetric, or *asymmetric, or *antisymmetric. The relation has to hold for some pairs

non‐symmetric ((of a relation))

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 61 words.

Not *symmetric, or *asymmetric, or *antisymmetric. The relation has to hold for some pairs in both orders, and hold for only one order for some other pairs, i.e. there exist elements ...

null...

Symmetric Chain Decomposition for Cyclic Quotients of Boolean Algebras and Relation to Cyclic Crystals

Patricia Hersh and Anne Schilling.

in International Mathematics Research Notices

January 2013; p ublished online January 2012 .

Journal Article. Subjects: Mathematics. 3439 words.

The quotient of a Boolean algebra by a cyclic group is proved to have a symmetric chain decomposition. This generalizes earlier work of Griggs, Killian and Savage on the case of prime...

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non-symmetric

Overview page. Subjects: Mathematics.

(of a relation)

Not symmetric, or asymmetric, or antisymmetric. The relation has to hold for some pairs in both orders, and hold for only one order for some other pairs, i.e. there...

See overview in Oxford Index

equivalence relation

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 62 words.

A *binary relation ~ on a set S that is *reflexive, *symmetric and *transitive. For an equivalence relation ~, ...

equivalence relation

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 56 words.

A *binary relation ~ on a set S that is *reflexive, *symmetric and *transitive.

Mechanical control systems on Lie algebroids

Jorge Cortés and Eduardo Martínez.

in IMA Journal of Mathematical Control and Information

December 2004; p ublished online December 2004 .

Journal Article. Subjects: Mathematics. 0 words.

This paper considers control systems defined on Lie algebroids. After deriving basic controllability tests for general control systems, we specialize our discussion to the class of...

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Commensurability and Representation Equivalent Arithmetic Lattices

Chandrasheel Bhagwat, Supriya Pisolkar and C. S. Rajan.

in International Mathematics Research Notices

January 2014; p ublished online January 2013 .

Journal Article. Subjects: Mathematics. 5704 words.

Prasad and Rapinchuk defined a notion of weakly commensurable lattices in a semisimple group, and gave a classification of weakly commensurable Zariski dense subgroups. A motivation was to...

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Fusion products, cohomology of GL N flag manifolds, and Kostka polynomials

Rinat Kedem.

in International Mathematics Research Notices

January 2004; p ublished online January 2004 .

Journal Article. Subjects: Mathematics. 0 words.

We explain the relation between the fusion product of symmetric power [math] evaluation modules, as defined by Feigin and Loktev, and the graded coordinate ring R μ which...

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asymmetric relation

Overview page. Subjects: Computing.

A relation R defined on a set S and having the property that

whenever x R y

then it is never the case that

y R x

where xnull...

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antisymmetric relation

Overview page. Subjects: Computing.

A relation R defined on a set S and having the property that

whenever x R y and y R x

then x = y

where x and y are arbitrary members of S....

See overview in Oxford Index

equivalence relation

Overview page. Subjects: Mathematics — Philosophy.

A relation that is transitive, symmetric, and reflexive. The concept is a convenient generalization or abstraction of equality. It covers most notions of equals, equivalence, and similarity...

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On Indistinguishability and Prototypes

Konstantinos Georgatos.

in Logic Journal of the IGPL

September 2003; p ublished online September 2003 .

Journal Article. Subjects: Logic. 0 words.

Tolerance spaces are sets equipped with a reflexive, symmetric, but not necessarily transitive, relation of indistinguishability, and are useful for describing vagueness based on error-prone...

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THE COHOMOLOGY OF THE BRAID GROUP B 3 AND OF SL2(ℤ) WITH COEFFICIENTS IN A GEOMETRIC REPRESENTATION

F. Callegaro, F. R. Cohen and M. Salvetti.

in The Quarterly Journal of Mathematics

September 2013; p ublished online June 2013 .

Journal Article. Subjects: Pure Mathematics. 0 words.

The purpose of this article is to describe the integral cohomology of the braid group B 3 and SL2(ℤ) with local coefficients in a classical geometric representation given by...

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coroutine

Overview page. Subjects: Computing.

A program component that allows structuring of a program in an unusual way. A coroutine resembles a subroutine, with one important difference. A subroutine has a subordinate position...

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Exchangeability and regression models

Peter McCullagh.

in Celebrating Statistics

September 2005; p ublished online September 2007 .

Chapter. Subjects: Probability and Statistics. 13199 words.

This chapter explores the relation between exchangeability, a concept from stochastic processes, and regression models in which the observed process is modulated by a covariate. A...

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Combinatorial Hopf Algebras and K-Homology of Grassmanians

Thomas Lam and Pavlo Pylyavskyy.

in International Mathematics Research Notices

January 2007; p ublished online January 2007 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 0 words.

Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, we study six combinatorial Hopf algebras. These Hopf algebras can be thought of as K-theore...