parametrization
parameterization - parameterisation - parametrisation
Parametrization is the process of expressing a mathematical object, such as a curve, surface, or family of functions, in terms of one or more parameters. Instead of describing points implicitly through an equation, parametrization uses parameter variables that run through a specified domain to generate all relevant points or instances. This often simplifies calculations, makes geometric properties more transparent, and allows easier analysis, integration, or optimization. In applied contexts, parametrization is also used to describe models with adjustable parameters, enabling tuning, fitting data, or controlling systems by varying those parameter values.