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implicit function
In mathematics, an implicit equation is a relation of the form ''R''(''x''1,..., ''x''''n'') = 0, where ''R'' is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is
An implicit function is a function that is defined implicitly by an implicit equation, by associating one of the variables (the value) with the others (the arguments). Thus, an implicit function for ''y'' in the context of the unit circle is defined implicitly by . This implicit equation defines ''f'' as a function of ''x'' only if -1 ≤ ''x'' ≤ 1 and one considers only non-negative (or non-positive) values for the values of the function.
The implicit function theorem provides conditions under which a relation defines an implicit function.
==Examples==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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