generalization

généralisation, induction

Établissement d’une règle valable plus largement à partir de faits ou d’exemples particuliers.

En anglais simple : Using particular facts or examples to work out a rule that applies more widely.

• Generalization from a few facts can be risky.
• Scientists use generalization to develop rules from repeated observations.
• Her reasoning involved generalization from individual cases.

Comment l'utiliser : generalization from something to something (Generalization from these observations to a universal rule requires care.)

Synonymes : induction, inductive reasoning

Contraires : deduction

Expressions courantes : inductive generalization, generalization from evidence, process of generalization

généralisation

Formation d’une idée générale à partir des caractéristiques communes à plusieurs choses particulières.

En anglais simple : Forming a broad idea by finding features shared by several particular things.

• Generalization helps us group similar things.
• Through generalization, children learn that very different chairs belong to one category.
• The lesson encourages generalization from several examples.

Comment l'utiliser : generalization from something (Generalization from familiar objects helps children form new categories.)

Synonymes : abstraction

Expressions courantes : conceptual generalization, process of generalization, generalization from examples

généralisation

Règle, idée ou problème mathématique couvrant tous les cas d’une version précédente ainsi que des cas supplémentaires.

En anglais simple : A mathematical rule, idea, or problem that covers all cases of an earlier one and additional cases.

• The new theorem is a generalization of the old one.
• We need a generalization that works in four dimensions.
• Several generalizations of this formula appear in the textbook.

Comment l'utiliser : a generalization of something (This formula is a generalization of the earlier equation.)

Synonymes : extension

Contraires : specialization

Expressions courantes : generalization of something, natural generalization, mathematical generalization