upper bound

any element M of a partially ordered set A which includes a subset B, such that M is greater than or equal to every element of B
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upper bound

Summary

upper bound has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • upper bound's subclass of is recorded as partial order[2].
  • upper bound's opposite of is recorded as lower bound[3].
  • upper bound's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[4].
  • upper bound's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[5].
  • upper bound's different from is recorded as supremum[6].
  • upper bound's defining formula is recorded as u=Upper~bound(S), S \subseteq (K, \preceq) \overset{\text{def}}{\iff} \exists u \in K (\forall y \in S (y \preceq u))[7].
  • upper bound's Google Knowledge Graph ID is recorded as /g/11bc5lm7gy[8].
  • upper bound's Google Knowledge Graph ID is recorded as /g/1234ngwg[9].
  • upper bound's MathWorld ID is recorded as UpperBound[10].
  • upper bound's nLab ID is recorded as upper bound[11].
  • upper bound's Wolfram Language entity code is recorded as Entity["Concept", "UpperBound::49f25"][12].
  • upper bound's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • upper bound's in defining formula is recorded as u[14].
  • upper bound's in defining formula is recorded as S[15].
  • upper bound's in defining formula is recorded as K[16].
  • upper bound's in defining formula is recorded as \preceq[17].
  • upper bound's FOLDOC ID is recorded as upper+bound[18].

Why It Matters

upper bound has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[1] It is known by 10 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikidata sitelinks. wikidata.org.
  2. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). upper bound. Retrieved April 10, 2026, from https://4ort.xyz/entity/upper-bound
MLA “upper bound.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/upper-bound.
BibTeX @misc{4ortxyz_upper-bound_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{upper bound}}, year = {2026}, url = {https://4ort.xyz/entity/upper-bound}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): upper bound — https://4ort.xyz/entity/upper-bound (retrieved 2026-04-10)

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