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- Symmetric_function abstract "In mathematics, the term "symmetric function" can mean two different concepts.A symmetric function of n variables is one whose value at any n-tuple of arguments is the same as its value at any permutation of that n-tuple. While this notion can apply to any type of function whose n arguments live in the same set, it is most often used for polynomial functions, in which case these are the functions given by symmetric polynomials. There is very little systematic theory of symmetric non-polynomial functions of n variables, so this sense is little-used, except as a general definition.In algebra and in particular in algebraic combinatorics, the term "symmetric function" is often used instead to refer to elements of the ring of symmetric functions, where that ring is a specific limit of the rings of symmetric polynomials in n indeterminates, as n goes to infinity. This ring serves as universal structure in which relations between symmetric polynomials can be expressed in a way independent of the number n of indeterminates (but its elements are neither polynomials nor functions). Among other things, this ring plays an important role in the representation theory of the symmetric groups.For these specific uses, see the corresponding articles; the remainder of this article addresses general properties of symmetric functions in n variables.".
- Symmetric_function wikiPageID "22510359".
- Symmetric_function wikiPageRevisionID "578600473".
- Symmetric_function hasPhotoCollection Symmetric_function.
- Symmetric_function subject Category:Symmetric_functions.
- Symmetric_function type Abstraction100002137.
- Symmetric_function type Function113783816.
- Symmetric_function type MathematicalRelation113783581.
- Symmetric_function type Relation100031921.
- Symmetric_function type SymmetricFunctions.
- Symmetric_function comment "In mathematics, the term "symmetric function" can mean two different concepts.A symmetric function of n variables is one whose value at any n-tuple of arguments is the same as its value at any permutation of that n-tuple. While this notion can apply to any type of function whose n arguments live in the same set, it is most often used for polynomial functions, in which case these are the functions given by symmetric polynomials.".
- Symmetric_function label "Funkcja symetryczna".
- Symmetric_function label "Funzione simmetrica".
- Symmetric_function label "Symmetric function".
- Symmetric_function label "Symmetrische Funktion".
- Symmetric_function label "Symmetrische functie".
- Symmetric_function label "دالة تماثلية".
- Symmetric_function sameAs Symmetrische_Funktion.
- Symmetric_function sameAs Funzione_simmetrica.
- Symmetric_function sameAs Symmetrische_functie.
- Symmetric_function sameAs Funkcja_symetryczna.
- Symmetric_function sameAs m.05_5rvd.
- Symmetric_function sameAs Q981351.
- Symmetric_function sameAs Q981351.
- Symmetric_function sameAs Symmetric_function.
- Symmetric_function wasDerivedFrom Symmetric_function?oldid=578600473.
- Symmetric_function isPrimaryTopicOf Symmetric_function.