generalization

generalizzazione, induzione

Ricavare da fatti o esempi particolari una regola valida anche in altri casi.

In inglese semplice: 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.

Come si usa: generalization from something to something (Generalization from these observations to a universal rule requires care.)

Sinonimi: induction, inductive reasoning

Contrari: deduction

Espressioni comuni: inductive generalization, generalization from evidence, process of generalization

generalizzazione

Formazione di un’idea generale individuando caratteristiche comuni a diverse cose particolari.

In inglese semplice: 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.

Come si usa: generalization from something (Generalization from familiar objects helps children form new categories.)

Sinonimi: abstraction

Espressioni comuni: conceptual generalization, process of generalization, generalization from examples

generalizzazione

Regola, idea o problema matematico che comprende tutti i casi di una versione precedente e altri casi aggiuntivi.

In inglese semplice: 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.

Come si usa: a generalization of something (This formula is a generalization of the earlier equation.)

Sinonimi: extension

Contrari: specialization

Espressioni comuni: generalization of something, natural generalization, mathematical generalization