parametriche

Parametriche is an Italian term used to describe phenomena, models, or methods that depend on one or more parameters. In English-language or many technical texts, the corresponding adjective is parametric.

In mathematics, parametric equations express coordinates as functions of a parameter, typically t. For example, a circle can be described by x = cos t and y = sin t. Parametric forms describe curves or surfaces without requiring an explicit relation y = f(x).

In statistics, parametric methods assume an underlying probability distribution with fixed parameters (such as the mean and variance). Examples include the t-test, ANOVA, and linear regression. These methods are contrasted with non-parametric approaches that make fewer distributional assumptions.

In computer-aided design and geometry, parametric modeling defines geometry through parameters and constraints. Changing a parameter updates dependent features, enabling rapid exploration, optimization, and design iteration. Parametric design emphasizes relationships among parts rather than fixed dimensions.

Usage notes: parametriche as a plural feminine adjective appears in Italian texts; in English, parametric is used. The term spans mathematics, statistics, and design, illustrating a common concept of representing complex objects by adjustable parameters.

Limitations include dependence on the chosen parameterization, potential for degenerate cases, and the need to reparameterize to improve numerical behavior.