parametriza

Parametriza is a conjugated form of the verb parameterizar in Portuguese and Spanish, meaning to parameterize. In these languages, to parameterize is to express a system, object, or model in terms of parameters—variables that capture its essential degrees of freedom. The word derives from parameter, from Greek parámetron “measure placed beside,” with the suffix -izar common to Spanish and Portuguese verbs meaning “to cause to become.”

In mathematics and geometry, parameterization refers to representing a geometric object by one or more parameters. For example, a circle can be described by x = r cos t and y = r sin t for t in [0, 2π]. Parameterizations allow the study of properties, integration, motion, and rendering. In computer science, parameterization appears in several forms: models expressed with parameters to be estimated; parameterized algorithms whose behavior depends on input parameters; and parameterized queries in databases, which use placeholders to prevent injection.

In statistics and machine learning, parametric models specify distributions or functions using a finite set of parameters, which are estimated from data. In computer-aided design and engineering, parametric modeling uses dimensions and constraints that propagate changes to dependent geometry, enabling flexible design exploration.

Parametriza, as a word, is thus tied to the broader concept of encoding information with adjustable quantities, a common paradigm across mathematics, science, and engineering.