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supremum

UK
/suːˈpriːməm/
US
/suˈpriməm/

Translations

supremumnoun
suprema
pl
UK
/suːˈpriːməm/
US
/suˈpriməm/
borne supérieureTerme de mathématiques et de théorie des ordres.
In the set of numbers {1, 2, 3}, the supremum is 3.
Dans l'ensemble des nombres {1, 2, 3}, la borne supérieure est 3.
Additional translations
supremumEmprunt savant employé en mathématiques.
Synonyms
upper bound
greatest element
least upper bound
maximum
supremumadjective
UK
/suːˈpriːməm/
US
/suˈpriməm/
Used attributively before another noun in mathematical contexts (e.g., "supremum norm").
Additional translations
supremumEn mathématiques, emploi savant dans des composés comme métrique ou norme du supremum.
Synonyms
principal
predominant
dominant
foremost
ultimate
highest
sovereign
preeminent
paramount
supreme

Definitions

supremumnoun
The least upper bound of a set in mathematics, particularly in the context of real numbers, where it is the smallest number that is greater than or equal to every number in the set.
In the set of numbers {1, 2, 3}, the supremum is 3.
More generally, in order theory, the least element among the upper bounds of a subset of a partially ordered set.
In any lattice, the supremum of elements a and b is written a ∨ b.
supremumadjective
Relating to or involving a supremum; based on the least upper bound.
The supremum metric measures the maximum distance between two functions.
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