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supremum

/suːˈpriːməm/

/suˈpriməm/

supremumsubstantiv

suprema

Pl.

/suːˈpriːməm/

/suˈpriməm/

Übersetzungen

супремум

The supremum of the set is the smallest upper bound.

Супремум множества — это наименьшая верхняя граница.

Definitionen

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.

Synonyme

maximum

upper bound

greatest element

least upper bound

supremumadjektiv

/suːˈpriːməm/

/suˈpriməm/

Used attributively before another noun in mathematical contexts (e.g., "supremum norm").

Definitionen

Relating to or involving a supremum; based on the least upper bound.

The supremum metric measures the maximum distance between two functions.

Synonyme