mathematical function

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Function (mathematics)
The mathematical concept of a function expresses dependence between two quantities, one of which is given (the  independent variable, argument of the function, or its "input") and the other produced (the dependent variable, value of the function, or "output"). A function associates a unique output with every input element drawn from a fixed set, such as the real numbers.
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Application (mathématiques)
En mathématiques, une application (ou fonction) f est la donnée de deux ensembles, l'ensemble de départ E et l'ensemble d'arrivée F, et d'une relation associant à chaque élément x de l'ensemble de départ un et un seul élément de l'ensemble d'arrivée, que l'on appelle image de x par f et que l'on note f(x). On dit alors que f est une application de E dans F (noté f : EF), ou encore une application à arguments dans E et valeurs dans F.
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Funktion (Mathematik)
Eine Funktion drückt die Abhängigkeit einer Größe von einer anderen aus.
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Funkcja
Funkcja – intuicyjnie: sposób przyporządkowania każdemu elementowi danego zbioru X dokładnie jednego elementu pewnego zbioru Y. Ściśle funkcja jest definiowana jako relacja pomiędzy elementami zbioru (dziedziny) i elementami zbioru (przeciwdziedziny), o tej własności, że każdy element zbioru jest w relacji z jednym i tylko jednym elementem zbioru .
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Funzione (matematica)
In matematica, una funzione da in consiste in: 1) un insieme  detto dominio di 2) un insieme detto codominio di 3) una legge che ad ogni elemento in associa uno ed un solo elemento in .
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