What's the difference between
and
Enter two words to compare and contrast their definitions, origins, and synonyms to better understand how those words are related.

Supremum vs Infimum - What's the difference?

supremum | infimum | Antonyms |

Infimum is a antonym of supremum.



In mathematics terms the difference between supremum and infimum

is that supremum is (of a subset) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset while infimum is (of a subset) the greatest element of the containing set that is smaller than or equal to all elements of the subset. The infimum may or may not be a member of the subset.

supremum

Noun

(suprema)
  • (mathematics) (of a subset ) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset.
  • Synonyms

    * least upper bound

    Antonyms

    * infimum

    Anagrams

    * ----

    infimum

    English

    Noun

    (wikipedia infimum) (en-noun)
  • (mathematics) (of a subset ) the greatest element of the containing set that is smaller than or equal to all elements of the subset. The infimum may or may not be a member of the subset.
  • Synonyms

    * greatest lower bound

    Antonyms

    * supremum