I was just wondering why functions can only have one output per input?
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I was just wondering why functions can only have one output per input?
Because functions are defined that way. All functions are mappings. There are mappings that are not functions.
That is a requirement in the definition of function.Quote:
Originally Posted by Nervous
A relation on a set can have more than one output per input.
A function is a particular type of relation, no two pairs can have the same first term.
Where did you get that? See this page.Quote:
Originally Posted by MathoMan
Maybe a relation is a better term - English is not my native language so unfortunately things get lost in translation.
My mistake. Explained in a post above.Quote:
Originally Posted by Plato
Well, that Wikipedia entry not withstanding, I feel that "mapping" is a much vaguer term than "function".