1. The process of expressing or describing something in terms of parameters; the act of defining or representing a system, equation, or curve using a set of parameters.
Usage: Common in mathematics, physics, and computer science; Also spelled 'parameterization' (more common in U.S. English)
2. A specific set of parameters chosen to represent or describe a mathematical object, such as a curve or surface.
Usage: Technical usage in mathematics and engineering

Examples

• The parametrization of the circle uses the equations x = cos(t) and y = sin(t).
• In physics, the parametrization of motion allows us to describe position as a function of time.
• The software requires a careful parametrization of the model before running simulations.
• Different parametrizations of the same curve can lead to different computational efficiencies.
• The parametrization of the surface made it easier to calculate its area.
• Engineers used parametrization to optimize the design of the engine component.