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Green's theorem

line integral around a closed curve to a double integral over its enclosed region
Intangible theorem Q321237
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Green's theorem

Summary

Green's theorem is a theorem[1]. It ranks in the top 2% of theorem entities by monthly Wikipedia readership (862 views/month).[2]

Key Facts

  • Green's theorem's instance of is recorded as theorem[3].
  • George Green is named after Green's theorem[4].
  • Green's theorem's part of is recorded as list of theorems[5].
  • Green's theorem's Commons category is recorded as Green's theorem[6].
  • Green's theorem's BNCF Thesaurus ID is recorded as 28929[7].
  • Green's theorem's Freebase ID is recorded as /m/01k8mc[8].
  • Green's theorem's topic's main category is recorded as Category:Green's theorem[9].
  • Green's theorem's PSH ID is recorded as 7490[10].
  • Green's theorem's proved by is recorded as Bernhard Riemann[11].
  • Green's theorem's described by source is recorded as Armenian Soviet Encyclopedia, vol. 3[12].
  • Green's theorem's Encyclopædia Britannica Online ID is recorded as topic/Greens-theorem[13].
  • Green's theorem's defining formula is recorded as \iint_S \left( \frac{\partial F_2}{\partial x} - \frac{\partial F_1}{\partial y} \right) \mathrm{d}A = \int_{\partial S} F_1 \, \mathrm{d}x + F_2 \, \mathrm{d}y[14].
  • Green's theorem's studied by is recorded as calculus[15].
  • Green's theorem's MathWorld ID is recorded as GreensTheorem[16].
  • Green's theorem's Quora topic ID is recorded as Greens-Theorem-1[17].
  • Green's theorem's JSTOR topic ID is recorded as greens-theorem[18].
  • Green's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • Green's theorem's Microsoft Academic ID is recorded as 137891326[20].
  • Green's theorem's Brilliant Wiki ID is recorded as greens-theorem[21].
  • Green's theorem's in defining formula is recorded as F_1[22].
  • Green's theorem's in defining formula is recorded as F_2[23].
  • Green's theorem's in defining formula is recorded as S[24].
  • Green's theorem's in defining formula is recorded as \partial S[25].
  • Green's theorem's in defining formula is recorded as \iint_S f \, \mathrm{d}A[26].
  • Green's theorem's in defining formula is recorded as \int_{\boldsymbol{c}} f \, \mathrm{d}s[27].

Why It Matters

Green's theorem ranks in the top 2% of theorem entities by monthly Wikipedia readership (862 views/month).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[28] It is known by 19 alternative names across languages and contexts.[29]

Related Entities

Bernhard Riemann George Green

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] ↑ . Nuovo soggettario. wikidata.org.
  6. [8] ↑ . Freebase Data Dumps. 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] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . Quora. wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . 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). Green's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/green-s-theorem
MLA “Green's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/green-s-theorem.
BibTeX @misc{4ortxyz_green-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Green's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/green-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Green's theorem — https://4ort.xyz/entity/green-s-theorem (retrieved 2026-05-03)

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