essential supremum

notions of infimum and supremum
Thing function Q1969054
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essential supremum

Summary

essential supremum is a function[1]. It draws 20 Wikipedia views per month (function category, ranking #67 of 114).[2]

Key Facts

  • essential supremum's instance of is recorded as function[3].
  • essential supremum's subclass of is recorded as element[4].
  • essential supremum's subclass of is recorded as quality[5].
  • essential supremum's part of is recorded as essential supremum and essential infimum[6].
  • essential supremum's quantity symbol is recorded as ess sup[7].
  • essential supremum's opposite of is recorded as essential infimum[8].
  • essential supremum's Freebase ID is recorded as /m/09k25n[9].
  • essential supremum's different from is recorded as supremum[10].
  • essential supremum's TeX string is recorded as \mathrm{ess}\sup[11].
  • essential supremum's defining formula is recorded as \mathrm{ess } \sup f=\inf {a \in \mathbb{R}: \mu({x: f(x) > a}) = 0}[12].
  • essential supremum's studied by is recorded as measure theory[13].
  • essential supremum's studied by is recorded as functional analysis[14].
  • essential supremum's MathWorld ID is recorded as EssentialSupremum[15].
  • essential supremum's nLab ID is recorded as essential supremum[16].
  • essential supremum's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • essential supremum's Microsoft Academic ID is recorded as 147460289[18].
  • essential supremum's characteristic of is recorded as partially ordered set[19].

Why It Matters

essential supremum draws 20 Wikipedia views per month (function category, ranking #67 of 114).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[20] It is known by 8 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). essential supremum. Retrieved May 3, 2026, from https://4ort.xyz/entity/essential-supremum
MLA “essential supremum.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/essential-supremum.
BibTeX @misc{4ortxyz_essential-supremum_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{essential supremum}}, year = {2026}, url = {https://4ort.xyz/entity/essential-supremum}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): essential supremum — https://4ort.xyz/entity/essential-supremum (retrieved 2026-05-03)

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