symmetry of second derivatives

theorem
Intangible theorem Q1503239
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symmetry of second derivatives

Summary

symmetry of second derivatives is a theorem[1]. It draws 151 Wikipedia views per month (theorem category, ranking #133 of 1,306).[2]

Key Facts

  • symmetry of second derivatives's instance of is recorded as theorem[3].
  • Hermann Schwarz is named after symmetry of second derivatives[4].
  • Alexis Clairaut is named after symmetry of second derivatives[5].
  • William Henry Young is named after symmetry of second derivatives[6].
  • symmetry of second derivatives's Freebase ID is recorded as /m/0256q9[7].
  • symmetry of second derivatives's Gran Enciclopèdia Catalana ID is recorded as 0061472[8].
  • symmetry of second derivatives's different from is recorded as Clairaut's theorem[9].
  • symmetry of second derivatives's defining formula is recorded as \frac{\partial}{\partial x}\left ( \frac{\partial }{\partial y} f(x,y) \right ) = \frac{\partial}{\partial y}\left ( \frac{\partial }{\partial x} f(x,y) \right )[10].
  • symmetry of second derivatives's studied by is recorded as calculus[11].
  • symmetry of second derivatives's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • symmetry of second derivatives's Microsoft Academic ID is recorded as 2780778300[13].
  • symmetry of second derivatives's Encyclopedia of Mathematics article ID is recorded as Partial_derivative[14].
  • symmetry of second derivatives's Digital Library of Mathematical Functions ID is recorded as 1.5.E6[15].
  • symmetry of second derivatives's Gran Enciclopèdia Catalana ID is recorded as teorema-de-schwarz[16].

Why It Matters

symmetry of second derivatives draws 151 Wikipedia views per month (theorem category, ranking #133 of 1,306).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[17] It is known by 18 alternative names across languages and contexts.[18]

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] . Freebase Data Dumps. 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] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). symmetry of second derivatives. Retrieved May 3, 2026, from https://4ort.xyz/entity/symmetry-of-second-derivatives
MLA “symmetry of second derivatives.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/symmetry-of-second-derivatives.
BibTeX @misc{4ortxyz_symmetry-of-second-derivatives_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{symmetry of second derivatives}}, year = {2026}, url = {https://4ort.xyz/entity/symmetry-of-second-derivatives}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): symmetry of second derivatives — https://4ort.xyz/entity/symmetry-of-second-derivatives (retrieved 2026-05-03)

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