Paramétrised

Paramétrised is a term used in mathematics and computer science to describe something that is defined by or depends on a set of parameters. A parameter is essentially a variable that can take on different values, and by changing these values, the behavior or characteristics of the parametrized object also change.

In mathematics, a parametrized curve, for example, is a curve defined by a set of equations where the coordinates of points on the curve are expressed as functions of a single independent variable, often called the parameter. As the parameter varies over a specified range, the equations trace out the curve. Similarly, a parametrized surface involves coordinates expressed as functions of two parameters. This concept is fundamental in areas like differential geometry and calculus of variations.

In computer science, parametrization is frequently employed in software development and algorithms. It allows for flexibility and reusability. For instance, a function might be parametrized by certain inputs that control its output or behavior without altering the core logic of the function. Configuration files often serve as a way to parametrize applications, allowing users to adjust settings without modifying the source code. Algorithms can also be parametrized, where certain values or thresholds are set by parameters to optimize performance for different scenarios. This approach promotes modularity and makes systems easier to adapt to new requirements or environments.