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Symmetric function

In mathematics, a function of n {\displaystyle n} variables is symmetric if its value is the same no matter the order of its arguments. For example, a function f ( x 1 , x 2 ) {\displaystyle f\left(x_{1},x_{2}\right)} of two arguments is a symmetric function if and only if f ( x 1 , x 2 ) = f ( x 2 , x 1 ) {\displaystyle…

Applications, Symmetrization & Overview

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Symmetrization

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Symmetric function

Nodes27
Edges26
Triples36
Avg. degree1.93
Density0.074074
Components1

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Symmetric function

Top relations

related to References · 18
Symmetric function → Allied Tables, Barton, Cambridge University Press, Catherine, Combinatorics, David, Gian-Carlo Rota, ISBN, Joseph, Kendall, Kung, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Symmetric, The Rota Way, Wikisource-logo, Yan
see also · 6
Symmetric function → Alternating, Concept, Exchangeable, Functions, Mathematical, Product
related to Examples · 5
Symmetric function → By, Consider, If, In, This
related to Symmetrization · 4
Symmetric function → Given, Similarly, The, These
related to U-statistics · 3
Symmetric function → Examples, In, U-statistic

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Important terminology

displaystyle function symmetric variables functions polynomials arguments symmetrization polynomial even odd permutations consider -r right given alternating examples statistics mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Symmetric functionrelated to ExamplesConsider0.60section
Symmetric functionrelated to ExamplesBy0.60section
Symmetric functionrelated to ExamplesIn0.60section
Symmetric functionrelated to ExamplesThis0.60section
Symmetric functionrelated to ExamplesIf0.60section
Symmetric functionrelated to ReferencesDavid0.60section
Symmetric functionrelated to ReferencesKendall0.60section
Symmetric functionrelated to ReferencesBarton0.60section
Symmetric functionrelated to ReferencesAllied Tables0.60section
Symmetric functionrelated to ReferencesCambridge University Press0.60section
Symmetric functionrelated to ReferencesJoseph0.60section
Symmetric functionrelated to ReferencesKung0.60section

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