parametryczna

Parametryczna is an adjective used in Polish to describe something that is defined or described by parameters. The term is common in several disciplines, including mathematics, computer science, statistics, and design, where systems or objects are described by a set of variables rather than by a single explicit form.

In mathematics and geometry, parametrize means representing objects with parameters. A parametric curve is given by functions x(t), y(t) of a parameter t. For example, a circle can be described parametrically by x(t) = r cos t, y(t) = r sin t, with t ranging from 0 to 2π. Parametric representations extend to three dimensions with surfaces described by r(u,v) = (x(u,v), y(u,v), z(u,v)).

In computer graphics and computer-aided design, parametric models define shapes by parameters and control points. Adjusting these parameters can produce a family of related forms without redefining the entire model. Common techniques include parametric curves and surfaces, such as B-splines and NURBS, which provide smooth, flexible shapes controlled by a limited set of parameters.

In statistics and data analysis, parametric models assume that data are generated from a distribution characterized by a finite set of parameters (for example, a normal distribution with mean and variance). Parameter estimation aims to determine these values from data, as opposed to nonparametric approaches that make fewer assumptions about the underlying distribution.

The concept underpins parametric design and engineering, where performance or geometry is controlled by adjustable parameters, enabling rapid exploration of design variants. The term originates from parameters, the variables that define a system's behavior or form.