In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation.

What is a parameterization in math?

The specification of a curve, surface, etc., by means of one or more variables which are allowed to take on values in a given specified range.

How do you parameterize a function?

A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y), are represented as functions of a variable t. Namely, x = f(t), y = g(t) t D. where D is a set of real numbers. The variable t is called a parameter and the relations between x, y and t are called parametric equations.