Standard Lemma guide

supremum

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • Received-Pronunciation: /səˈpɹiːˌmʌm/
  • Canada, General-American: /səˈpɹiˌmʌm/
  • Wisconsin Recorded audio is listed in the source snapshot.
  • Australian, New-Zealand: /səˈpɹiːˌmɐm/

1

noun

Meaning 1

(real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, set-theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: least upper bound, LUB, sup

Antonyms: none provided

History

Etymology

Borrowed from Latin supremum.

Across languages

Translations

13 source translations are retained for this English entry.

  • Chinese Mandarin: 上确界 (shàngquèjiè) — element of a set greater than or equal to all members of a given subset
  • Czech: supremum — element of a set greater than or equal to all members of a given subset
  • Finnish: pienin yläraja — element of a set greater than or equal to all members of a given subset
  • Finnish: supremum — element of a set greater than or equal to all members of a given subset
  • French: supremum — element of a set greater than or equal to all members of a given subset
  • German: Supremum — element of a set greater than or equal to all members of a given subset
  • Hebrew: סופרמום — element of a set greater than or equal to all members of a given subset
  • Hebrew: חסם עליון — element of a set greater than or equal to all members of a given subset
  • Japanese: 上限 (jōgen) — element of a set greater than or equal to all members of a given subset
  • Polish: supremum — element of a set greater than or equal to all members of a given subset
  • Polish: kres górny — element of a set greater than or equal to all members of a given subset
  • Spanish: supremo — element of a set greater than or equal to all members of a given subset
  • Swedish: supremum — element of a set greater than or equal to all members of a given subset
Real reading context

supremum in complete knowledge articles