A sublattice of a lattice is a subset that is closed under pairwise infima and suprema.
Source: wiktionary
Supremum
//səˈpɹiːˌmʌm//
Synonyms for "supremum" (5 found)
Ranked by relevance and common usage.
Closest matches (1)
Strong matches (2)
Noun(1 words)
Related words (2)
Related word relations
OpenGloss and ConceptNet supply richer edges like generalizations, collocations, and derivations.
Synonyms
1 entriesRelated terms
1 entriescoordinate
1 entriesderived
1 entrieshas context
3 entriesrelated to
6 entriessimilar
1 entriesTranslations
13 translations across 10 languages.
Chinese Mandarin
1 entries- 上确界 noun (element of a set greater than or equal to all members of a given subset)
Czech
1 entries- supremum noun (element of a set greater than or equal to all members of a given subset)
Finnish
2 entries- pienin yläraja noun (element of a set greater than or equal to all members of a given subset)
- supremum noun (element of a set greater than or equal to all members of a given subset)
French
1 entries- supremum noun (element of a set greater than or equal to all members of a given subset)
German
1 entries- Supremum noun (element of a set greater than or equal to all members of a given subset)
Hebrew
2 entries- חסם עליון noun (element of a set greater than or equal to all members of a given subset)
- סופרמום noun (element of a set greater than or equal to all members of a given subset)
Japanese
1 entries- 上限 noun (element of a set greater than or equal to all members of a given subset)
Polish
2 entries- kres górny noun (element of a set greater than or equal to all members of a given subset)
- supremum noun (element of a set greater than or equal to all members of a given subset)
Spanish
1 entries- supremo noun (element of a set greater than or equal to all members of a given subset)
Swedish
1 entries- supremum noun (element of a set greater than or equal to all members of a given subset)
Sample sentences
3 total sentences available.
The best way to describe the supremum of S is to say that it wants to be the greatest element of S. In fact, if S has a greatest element, then that element is the supremum.
Source: wiktionary
The key to an approach to vector optimization based on infimum and supremum is to consider set-based objective functions and to extend the partial ordering of the original objective space to a suitable subspace of the power set. In this new space the infimum and supremum exist under the usual assumptions.
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.