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Euler's formula

mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function
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Summary

Euler's formula is an identity[1]. It ranks in the top 6% of identity entities by monthly Wikipedia readership (13,550 views/month).[2]

Key Facts

  • Discoverer or inventor: Leonhard Euler[3]
  • Instance of: theorem[4]
  • Named after: Leonhard Euler[5]
  • Commons category: Euler's formula[6]
  • Time of discovery or invention: 1748[7]
  • Studied by: complex analysis[8], trigonometry[9]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[10]
  • Maintained by WikiProject: WikiProject Mathematics[11]

Why It Matters

Euler's formula has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[12] It is known by 60 alternative names across languages and contexts.[13]

Related Entities

Leonhard Euler Uwe Brauer

References

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

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [3] ↑ . 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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). Euler's formula. Retrieved October 20, 2026, from https://4ort.xyz/entity/euler-s-formula
MLA “Euler's formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 20 Oct. 2026, https://4ort.xyz/entity/euler-s-formula.
BibTeX @misc{4ortxyz_euler-s-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euler's formula}}, year = {2026}, url = {https://4ort.xyz/entity/euler-s-formula}, note = {Accessed: 2026-10-20}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euler's formula — https://4ort.xyz/entity/euler-s-formula (retrieved 2026-10-20)

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