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| has gloss | eng: 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. |
| lexicalization | eng: symmetric function |
| instance of | (noun) a mathematical function that is the sum of a number of terms multinomial, polynomial |
| Meaning | |
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| Esperanto | |
| has gloss | epo: En matematiko, simetria funkcio de multaj variabloj estas funkcio, kiu estas invarianto sub permuto de ĝiaj variabloj. |
| lexicalization | epo: simetria funkcio |
| Finnish | |
| lexicalization | fin: Symmetrinen funktio |
| Italian | |
| has gloss | ita: In matematica, per funzione simmetrica si può intendere una funzione di più variabili che risulti invariante sotto permutazione dei suoi argomenti. Questa definizione sarebbe lestensione naturale della definizione che si dà di polinomio simmetrico, ma non cè una teoria sviluppata riguardo funzioni simmetriche non polinomiali. |
| lexicalization | ita: funzione simmetrica |
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