uogólniony

Uogólniony is a Polish adjective meaning generalized, referring to something that has been broadened from a specific instance to a more universal form. The word comes from ogólny (general) with the prefix u-, and from the verb uogólnić (to generalize). The past participle uogólniony describes objects, statements, or concepts that are not limited to a single case but apply to a wider class.

In mathematics and logic, uogólniony describes a concept, theorem, or formula that applies beyond a particular example to a broader set of objects. An uogólnienie is a generalization, and a uogólniony przypadek denotes a generalized case that fits within a more comprehensive framework. This usage highlights the aim of extending validity or applicability.

In science, philosophy, and related fields, the term signals models, laws, or statements extended to multiple observations or conditions. In medicine, uogólniony can describe symptoms or diseases that affect the whole body rather than a localized area, for instance a uogólnione zakażenie (disseminated infection).

In linguistics and everyday language, uogólniony may refer to a general form, principle, or rule as opposed to a specific instance. The nuance emphasizes applicability rather than precision to a single case, while potentially reducing detail.

Related terms include ogólny (general), generalizacja (generalization), and uogólnić (to generalize). The concept of generalization is central to many disciplines and languages.