convex set

subset of an affine space that is closed under convex combinations
Thing type_of_set Q193657
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convex set

Summary

convex set is a type of set[1]. It draws 242 Wikipedia views per month (type_of_set category, ranking #3 of 9).[2]

Key Facts

  • convex set's image is recorded as Convex polygon illustration1.svg[3].
  • convex set's instance of is recorded as type of set[4].
  • convex set's GND ID is recorded as 4165212-5[5].
  • convex set's Library of Congress authority ID is recorded as sh85031731[6].
  • convex set's Bibliothèque nationale de France ID is recorded as 11942828r[7].
  • convex set's subclass of is recorded as topological subspace[8].
  • convex set's subclass of is recorded as star domain[9].
  • convex set's NDL Authority ID is recorded as 00573443[10].
  • convex set's part of is recorded as affine space[11].
  • convex set's part of is recorded as list of types of sets[12].
  • convex set's Commons category is recorded as Convexity[13].
  • convex set's opposite of is recorded as non-convex set[14].
  • convex set's BNCF Thesaurus ID is recorded as 57850[15].
  • convex set's Freebase ID is recorded as /m/01w2b[16].
  • convex set's NL CR AUT ID is recorded as ph184846[17].
  • convex set's Dewey Decimal Classification is recorded as 516.08[18].
  • convex set's PSH ID is recorded as 7328[19].
  • convex set's Encyclopædia Britannica Online ID is recorded as topic/convex-set[20].
  • convex set's has characteristic is recorded as convexity[21].
  • convex set's defining formula is recorded as \sum_{k=1}^r\lambda_k u_k \in S, \sum_{k=1}^r\lambda_k = 1[22].
  • convex set's studied by is recorded as convex geometry[23].
  • convex set's BabelNet ID is recorded as 00022375n[24].
  • convex set's MathWorld ID is recorded as ConvexSet[25].
  • convex set's Encyclopædia Universalis ID is recorded as convexite-ensembles-convexes[26].
  • convex set's Mathematics Subject Classification ID is recorded as 52Axx[27].

Why It Matters

convex set draws 242 Wikipedia views per month (type_of_set category, ranking #3 of 9).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[28] It is known by 26 alternative names across languages and contexts.[29]

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] . Integrated Authority File. wikidata.org.
  5. [7] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . Nuovo soggettario. wikidata.org.
  14. [16] . Freebase Data Dumps. wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . Integrated Authority File. Retrieved . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . BabelNet. wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). convex set. Retrieved May 3, 2026, from https://4ort.xyz/entity/convex-set
MLA “convex set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/convex-set.
BibTeX @misc{4ortxyz_convex-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{convex set}}, year = {2026}, url = {https://4ort.xyz/entity/convex-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): convex set — https://4ort.xyz/entity/convex-set (retrieved 2026-05-03)

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