généralisées

Généralisées is the feminine plural form of the French adjective généralisé. It describes entities that have been generalized or extended beyond a specific instance. In French, adjectives agree with the noun in gender and number; thus for feminine plural nouns, the form is généralisées.

The term appears across different domains. In everyday language, it can modify feminine plural nouns to signal a generalized nature, for example des idées généralisées or des propriétés généralisées. In scientific and mathematical contexts, it participates in established phrases such as fonctions généralisées (generalized functions), a core concept in analysis that extends the notion of ordinary functions and includes objects like distributions. In statistics and data analysis, on the other hand, phrases such as modèles généralisés (generalized models) and méthodes généralisées are common, with the well-known exemple being les modèles linéaires généralisés (generalized linear models).

Etymologically, généralisées derives from généraliser, which comes from the adjective général, itself from the French word général and ultimately from Latin roots related to the whole or common. The form généralisées is thus a standard feminine plural agreement used when the noun it modifies is feminine and plural.

Notes and variants: the meaning of généralisées depends on the noun it accompanies; without context, it simply marks a generalized or broadened nature. The related forms include généralisé (masculine singular), généralisée (feminine singular), and généralisation (the noun meaning generalization). See also: fonction généralisée, modèle généralisé, et généralisation.