Stone–Weierstrass theorem

theorem that every continuous function on a compact Hausdorff space can be approximated by certain families of continuous functions
Intangible theorem Q939927
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Stone–Weierstrass theorem

Summary

Stone–Weierstrass theorem is a theorem[1]. It ranks in the top 6% of theorem entities by monthly Wikipedia readership (1,272 views/month).[2]

Key Facts

  • Stone–Weierstrass theorem's instance of is recorded as theorem[3].
  • Marshall Harvey Stone is named after Stone–Weierstrass theorem[4].
  • Karl Weierstraß is named after Stone–Weierstrass theorem[5].
  • Stone–Weierstrass theorem is part of list of theorems[6].
  • Stone–Weierstrass theorem's facet of is recorded as approximation theory[7].
  • Stone–Weierstrass theorem's studied by is recorded as calculus[8].
  • Stone–Weierstrass theorem's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Stone–Weierstrass theorem's instance of is recorded as theorem[3].

Origins

Things named after include Marshall Harvey Stone[4], a mathematician[10], 1903–1989[11], of United States[12], awarded the Guggenheim Fellowship[13], specialised in mathematics[14] and Karl Weierstraß[5], a mathematician[15], 1815–1897[16], of Kingdom of Prussia[17], awarded the honorary doctor of the University of Königsberg[18], specialised in complex analysis[19].

Use and Application

Stone–Weierstrass theorem is part of list of theorems[6].

Why It Matters

Stone–Weierstrass theorem ranks in the top 6% of theorem entities by monthly Wikipedia readership (1,272 views/month).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[20] It is known by 15 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] . wikidata.org.

Inline context (facts about related entities)

  1. [10] . Wikidata. wikidata.org. → on this site
  2. [11] . Wikidata. wikidata.org. → on this site
  3. [12] . Wikidata. wikidata.org. → on this site
  4. [13] . Wikidata. wikidata.org. → on this site
  5. [14] . Wikidata. wikidata.org. → on this site
  6. [15] . Wikidata. wikidata.org. → on this site
  7. [16] . Wikidata. wikidata.org. → on this site
  8. [17] . Wikidata. wikidata.org. → on this site
  9. [18] . Wikidata. wikidata.org. → on this site
  10. [19] . Wikidata. wikidata.org. → on this site

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). Stone–Weierstrass theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/stone-weierstrass-theorem
MLA “Stone–Weierstrass theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/stone-weierstrass-theorem.
BibTeX @misc{4ortxyz_stone-weierstrass-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Stone–Weierstrass theorem}}, year = {2026}, url = {https://4ort.xyz/entity/stone-weierstrass-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Stone–Weierstrass theorem — https://4ort.xyz/entity/stone-weierstrass-theorem (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Part of
    Part of list of theorems
    Instance of theorem
    Aliases
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007546739505171, mv to monolingual text names on J9U statements"
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