Noun
parametrization (plural parametrizations)
The act or result of parametrizing: alternative form of parameterization.
A Roman surface can be constructed by splicing together three hyperbolic paraboloids and then smoothing out the edges as necessary so that it will fit a desired shape (e.g. parametrization). Source: Internet
For example, a modular parametrization of the curve is given by D. Zagier, « Modular points, modular curves, modular surfaces and modular forms », Lecture Notes in Mathematics 1111, Springer, 1985, 225–248. Source: Internet
It has a particularly simple parametrization as a "figure-8" torus with a half-twist: : for 0 ≤ θ < 2π, 0 ≤ v < 2π and r > 2. In this immersion, the self-intersection circle (where sin(v) is zero) is a geometric circle in the xy plane. Source: Internet
The trick is to use parametrization to create a real function of one variable, and then apply the one-variable theorem. Source: Internet