maximal background

maximal

/ˈmæksɪməl/ /ˈmæksəməl/

Illustration maximal - Image 1

noun

Maximum, le plus grand élément

The element of a set with the greatest magnitude.

Examples :

"In the group project, Maria's contribution was the maximal; she did more work than anyone else. "

Dans le projet de groupe, la contribution de Maria était le maximum ; elle a fait plus de travail que quiconque.

Illustration maximal - Image 1

noun

Idéal maximal

Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).

Examples :

"The teacher asked the students to find the maximal number of candies they could take from the jar without emptying it completely. "

Le professeur a demandé aux élèves de trouver le nombre maximal de bonbons qu'ils pouvaient prendre dans le bocal sans le vider complètement.

Illustration maximal - Image 1

noun

Maximal

Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.

Examples :

"The professor explained that finding a maximal set of beliefs, where you either accept a statement or its exact opposite but never both, is often a difficult but crucial goal in logic. "

Le professeur a expliqué que trouver un ensemble maximal de croyances, où l'on accepte soit une affirmation, soit son exact opposé, mais jamais les deux, est souvent un objectif difficile mais crucial en logique.

logic math philosophy

Illustration maximal - Image 1

adjective

Maximal, le plus grand, le plus élevé

Largest, greatest (in magnitude), highest, most.

Examples :

"To get the maximal benefit from your study time, turn off all distractions. "

Pour tirer le plus grand bénéfice de votre temps d'étude, éteignez toutes les distractions.