Cauchy–Riemann equations

system of linear partial differential equations characterizing holomorphic (complex differentiable) functions
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Cauchy–Riemann equations

Summary

Cauchy–Riemann equations is a system of differential equations[1]. It draws 417 Wikipedia views per month (system_of_differential_equations category, ranking #3 of 4).[2]

Key Facts

  • Cauchy–Riemann equations is credited with the discovery of Jean Le Rond d'Alembert[3].
  • Cauchy–Riemann equations's instance of is recorded as system of differential equations[4].
  • Cauchy–Riemann equations's instance of is recorded as linear differential equation with constant coefficients[5].
  • Cauchy–Riemann equations's instance of is recorded as mathematical concept[6].
  • Augustin-Louis Cauchy is named after Cauchy–Riemann equations[7].
  • Bernhard Riemann is named after Cauchy–Riemann equations[8].
  • Cauchy–Riemann equations is a type of partial differential equation[9].
  • Cauchy–Riemann equations's time of discovery or invention is recorded as 1752[10].
  • Cauchy–Riemann equations's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

Recorded instance of include system of differential equations[4], linear differential equation with constant coefficients[5], and mathematical concept[6]. Cauchy–Riemann equations is a type of partial differential equation[9].

Origins

Things named after include Augustin-Louis Cauchy[7], a mathematician[12], 1789–1857[13], of France[14], awarded the Pour le Mérite for Sciences and Arts order[15], specialised in mathematical analysis[16] and Bernhard Riemann[8], a mathematician[17], 1826–1866[18], of Kingdom of Hanover[19], awarded the Foreign Member of the Royal Society[20], specialised in differential geometry[21].

Why It Matters

Cauchy–Riemann equations draws 417 Wikipedia views per month (system_of_differential_equations category, ranking #3 of 4).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[22] It is known by 27 alternative names across languages and contexts.[23]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [3] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Retrieved . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Inline context (facts about related entities)

  1. [12] . Wikidata. wikidata.org. → on this site
  2. [13] . Wikidata. wikidata.org. → on this site
  3. [14] . Wikidata. wikidata.org. → on this site
  4. [15] . Wikidata. wikidata.org. → on this site
  5. [16] . Wikidata. wikidata.org. → on this site
  6. [17] . Wikidata. wikidata.org. → on this site
  7. [18] . Wikidata. wikidata.org. → on this site
  8. [19] . Wikidata. wikidata.org. → on this site
  9. [20] . Wikidata. wikidata.org. → on this site
  10. [21] . 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. [22] . Wikidata sitelinks. wikidata.org.
  3. [23] . 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). Cauchy–Riemann equations. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-riemann-equations
MLA “Cauchy–Riemann equations.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-riemann-equations.
BibTeX @misc{4ortxyz_cauchy-riemann-equations_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy–Riemann equations}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-riemann-equations}, note = {Accessed: 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. 9d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Discoverer or inventor Jean Le Rond d'Alembert
    Instance of system of differential equations, linear differential equation with constant coefficients, mathematical concept
    Subclass of
    Aliases
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007284988005171, mv to monolingual text names on J9U statements"
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