Parametrised

Parametrised is a term used across various fields to describe something that has been defined or modified using parameters. In mathematics, a parametrised curve is a curve that is described by an equation where the coordinates of the points on the curve are expressed as functions of a single independent variable, often called a parameter. For example, a circle can be parametrised by x = r cos(t) and y = r sin(t), where 'r' is the radius and 't' is the parameter representing the angle. This allows for easier analysis of curve properties like velocity and acceleration in calculus.

In computer programming, a parametrised function or method is one that accepts arguments, also known as parameters, which can alter its behaviour or output. This promotes code reusability and flexibility, as a single function can perform different operations based on the values of its parameters. For instance, a sorting function might take a parameter indicating whether to sort in ascending or descending order.

The concept also extends to engineering and physics, where systems or models are often parametrised to represent their characteristics or states. For example, the behaviour of a physical system might be described by equations with parameters that represent physical constants like mass, friction, or temperature. Modifying these parameters allows engineers and scientists to simulate different scenarios and understand how changes affect the system's performance or outcomes. In essence, parametrisation involves introducing variables that control or define specific aspects of an object, system, or function.