supremum
when it exists, the least element of a partially ordered set which is greater than or equal to all elements of a given subset
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supremum
Summary
supremum is a function[1]. supremum draws 112 Wikipedia views per month (function category, ranking #43 of 114).[2]
Key Facts
- supremum's instance of is recorded as function[3].
- supremum's subclass of is recorded as quality[4].
- supremum's subclass of is recorded as quality[5].
- supremum's subclass of is recorded as upper bound[6].
- supremum's part of is recorded as infimum and supremum[7].
- supremum's Commons category is recorded as Infimum and supremum[8].
- supremum's said to be the same as is recorded as join[9].
- supremum's opposite of is recorded as infimum[10].
- supremum's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[11].
- supremum's different from is recorded as maximum[12].
- supremum's different from is recorded as upper bound[13].
- supremum's different from is recorded as essential supremum[14].
- supremum's different from is recorded as greatest element[15].
- supremum's defining formula is recorded as s=\sup(X), U = {u | u = Upper~bound(X)}, X \subseteq (K, \preceq) \overset{\text{def}}{\iff} s \in U \land \forall y \in U (s \preceq y)[16].
- supremum's studied by is recorded as functional analysis[17].
- supremum's studied by is recorded as calculus[18].
- supremum's studied by is recorded as set theory[19].
- supremum's Google Knowledge Graph ID is recorded as /g/11bc57zj_6[20].
- supremum's MathWorld ID is recorded as Supremum[21].
- supremum's maintained by WikiProject is recorded as WikiProject Mathematics[22].
- supremum's in defining formula is recorded as s[23].
- supremum's in defining formula is recorded as u[24].
- supremum's in defining formula is recorded as X[25].
- supremum's in defining formula is recorded as K[26].
- supremum's in defining formula is recorded as \preceq[27].
Why It Matters
supremum draws 112 Wikipedia views per month (function category, ranking #43 of 114).[2] supremum has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[28] supremum is known by 35 alternative names across languages and contexts.[29]