infimum

[US]/ɪnˈfɪməm/
[UK]/ɪnˈfɪməm/
Frequency: Very High

Translation

n.greatest lower bound of a set

Phrases & Collocations

infimum set

infimum value

infimum element

infimum limit

infimum function

infimum property

infimum point

infimum range

infimum analysis

infimum theorem

Example Sentences

the infimum of a set is the greatest lower bound.

in mathematics, the infimum is often used in optimization problems.

to find the infimum, we must first identify the lower bounds.

the infimum can be a member of the set or not.

understanding the concept of infimum is crucial in real analysis.

in some cases, the infimum is equal to the minimum value.

finding the infimum requires careful consideration of all elements.

the infimum helps in defining limits in calculus.

to prove the existence of an infimum, one needs to show boundedness.

the concept of infimum extends beyond real numbers to other ordered sets.

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