Implicit and explicit equations

From Department of Mathematics at UTSA
Revision as of 16:07, 17 September 2021 by Lila (talk | contribs)
Jump to navigation Jump to search

In mathematics, an implicit equation is a relation of the form R(x1, …, xn) = 0, where R is a function of several variables. For example, the implicit equation of the unit circle is x2 + y2 − 1 = 0. An explicit equation, on the other hand, expresses one variable in terms of one or more others. For example, y = x2 + x − 1 is a function that expresses the variable y in terms of x.

Resources