exterior derivative

in differential geometry, a differential operation defined in differential forms that increases the form degree by 1
Thing general Q1754547
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exterior derivative

Summary

exterior derivative ranks in the top 2% of general entities by monthly Wikipedia readership (228 views/month).[1]

Key Facts

  • exterior derivative's subclass of is recorded as differential operator[2].
  • exterior derivative's Freebase ID is recorded as /m/01g7sp[3].
  • exterior derivative's defining formula is recorded as (\mathrm d\alpha){\mu_0\mu_1\dotso\mu_n}=\partial{[\mu_0}\alpha_{\mu_1\dotso\mu_n]}[4].
  • exterior derivative's MathWorld ID is recorded as ExteriorDerivative[5].
  • exterior derivative's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • exterior derivative's Microsoft Academic ID is recorded as 143328102[7].
  • exterior derivative's ProofWiki ID is recorded as Definition:Exterior_Derivative[8].
  • exterior derivative's in defining formula is recorded as \mathrm d[9].
  • exterior derivative's in defining formula is recorded as \alpha[10].

Why It Matters

exterior derivative ranks in the top 2% of general entities by monthly Wikipedia readership (228 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[11] It is known by 8 alternative names across languages and contexts.[12]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . Freebase Data Dumps. wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] . Wikidata sitelinks. wikidata.org.
  3. [12] . 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). exterior derivative. Retrieved April 10, 2026, from https://4ort.xyz/entity/exterior-derivative
MLA “exterior derivative.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/exterior-derivative.
BibTeX @misc{4ortxyz_exterior-derivative_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{exterior derivative}}, year = {2026}, url = {https://4ort.xyz/entity/exterior-derivative}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): exterior derivative — https://4ort.xyz/entity/exterior-derivative (retrieved 2026-04-10)

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