What is an Implicit Equation?

In mathematics, an implicit equation is a relation of the form where 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 ¹

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