Cauchy distribution

probability distribution
Intangible mathematical_concept Q726441
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Cauchy distribution

Summary

Cauchy distribution is a mathematical concept[1]. It ranks in the top 2% of mathematical_concept entities by monthly Wikipedia readership (904 views/month).[2]

Key Facts

  • Cauchy distribution's image is recorded as Cauchy pdf.svg[3].
  • Cauchy distribution's image is recorded as Cauchy cdf.svg[4].
  • Cauchy distribution's instance of is recorded as mathematical concept[5].
  • Augustin-Louis Cauchy is named after Cauchy distribution[6].
  • Hendrik Lorentz is named after Cauchy distribution[7].
  • Cauchy distribution's subclass of is recorded as Student's t-distribution[8].
  • Cauchy distribution's subclass of is recorded as symmetric probability distribution[9].
  • Cauchy distribution's Commons category is recorded as Cauchy-Lorentz distributions[10].
  • Cauchy distribution's Freebase ID is recorded as /m/0207d[11].
  • Cauchy distribution's Encyclopædia Britannica Online ID is recorded as topic/Cauchy-distribution[12].
  • Cauchy distribution's defining formula is recorded as f(x; x_0,\gamma) = \frac{1}{\pi\gamma \left[1 + \left(\frac{x - x_0}{\gamma}\right)^2\right]} = { 1 \over \pi \gamma } \left[ { \gamma^2 \over (x - x_0)^2 + \gamma^2 } \right][13].
  • Cauchy distribution's MathWorld ID is recorded as CauchyDistribution[14].
  • Cauchy distribution's Great Russian Encyclopedia Online ID is recorded as 2104904[15].
  • Cauchy distribution's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Cauchy distribution's Microsoft Academic ID is recorded as 49344536[17].
  • Cauchy distribution's OpenAlex ID is recorded as C49344536[18].
  • Cauchy distribution's Great Russian Encyclopedia portal ID is recorded as raspredelenie-koshi-101fe6[19].

Why It Matters

Cauchy distribution ranks in the top 2% of mathematical_concept entities by monthly Wikipedia readership (904 views/month).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[20] It is known by 51 alternative names across languages and contexts.[21]

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] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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 distribution. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-distribution
MLA “Cauchy distribution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-distribution.
BibTeX @misc{4ortxyz_cauchy-distribution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy distribution}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-distribution}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cauchy distribution — https://4ort.xyz/entity/cauchy-distribution (retrieved 2026-05-03)

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