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divergence theorem

generalization of the fundamental theorem in vector calculus
Intangible theorem Q338886
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divergence theorem

Summary

divergence theorem is a theorem[1]. It ranks in the top 2% of theorem entities by monthly Wikipedia readership (1,201 views/month).[2]

Key Facts

  • divergence theorem's instance of is recorded as theorem[3].
  • divergence theorem's instance of is recorded as formula[4].
  • divergence theorem's instance of is recorded as identity[5].
  • Carl Friedrich Gauss is named after divergence theorem[6].
  • Mikhail Ostrogradsky is named after divergence theorem[7].
  • divergence theorem's GND ID is recorded as 4336399-4[8].
  • divergence theorem's subclass of is recorded as Stokes' theorem[9].
  • divergence theorem's part of is recorded as list of theorems[10].
  • divergence theorem's Commons category is recorded as Divergence theorem[11].
  • divergence theorem's Freebase ID is recorded as /m/013s25[12].
  • divergence theorem's PSH ID is recorded as 7494[13].
  • divergence theorem's solved by is recorded as Mikhail Ostrogradsky[14].
  • divergence theorem's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[15].
  • divergence theorem's Encyclopædia Britannica Online ID is recorded as topic/divergence-theorem[16].
  • divergence theorem's defining formula is recorded as \iiint_V (\nabla \cdot \boldsymbol{F}) \, \mathrm{d}V = \iint_{\partial V} \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}[17].
  • divergence theorem's studied by is recorded as vector calculus[18].
  • divergence theorem's studied by is recorded as calculus[19].
  • divergence theorem's MathWorld ID is recorded as DivergenceTheorem[20].
  • divergence theorem's JSTOR topic ID is recorded as divergence-theorem[21].
  • divergence theorem's nLab ID is recorded as divergence theorem[22].
  • divergence theorem's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • divergence theorem's Microsoft Academic ID is recorded as 16030659[24].
  • divergence theorem's in defining formula is recorded as \boldsymbol{F}[25].
  • divergence theorem's in defining formula is recorded as \iiint_V f \, \mathrm{d}V[26].
  • divergence theorem's in defining formula is recorded as \iint_S \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}[27].

Why It Matters

divergence theorem ranks in the top 2% of theorem entities by monthly Wikipedia readership (1,201 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[28] It is known by 54 alternative names across languages and contexts.[29]

Related Entities

Carl Friedrich Gauss Mikhail Ostrogradsky

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.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . Freebase Data Dumps. 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.
  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). divergence theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/divergence-theorem
MLA “divergence theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/divergence-theorem.
BibTeX @misc{4ortxyz_divergence-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{divergence theorem}}, year = {2026}, url = {https://4ort.xyz/entity/divergence-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): divergence theorem — https://4ort.xyz/entity/divergence-theorem (retrieved 2026-05-03)

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