Cauchy principal value

value that can be assigned to certain divergent integrals over a finite interval
Intangible mathematical_concept Q769374
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Cauchy principal value

Summary

Cauchy principal value is a mathematical concept[1]. It ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (238 views/month).[2]

Key Facts

  • Cauchy principal value's instance of is recorded as mathematical concept[3].
  • Augustin-Louis Cauchy is named after Cauchy principal value[4].
  • Cauchy principal value's GND ID is recorded as 4359631-9[5].
  • Cauchy principal value's subclass of is recorded as integral[6].
  • Cauchy principal value's Freebase ID is recorded as /m/024qfr[7].
  • Cauchy principal value's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
  • Cauchy principal value's different from is recorded as Cauchy principal value[9].
  • Cauchy principal value's defining formula is recorded as \mathrm{PV} \int\limits_a^b f(x) \mathrm{d}x = \lim_{\delta \to 0+} \left(\int\limits_a^{c - \delta} f(x) \mathrm{d}x + \int\limits_{c + \delta}^b f(x) \mathrm{d}x\right)[10].
  • Cauchy principal value's MathWorld ID is recorded as CauchyPrincipalValue[11].
  • Cauchy principal value's nLab ID is recorded as Cauchy principal value[12].
  • Cauchy principal value's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Cauchy principal value's Microsoft Academic ID is recorded as 10682574[14].
  • Cauchy principal value's in defining formula is recorded as \mathrm{PV} \int\limits_a^b f(x) \mathrm{d}x[15].
  • Cauchy principal value's OpenAlex ID is recorded as C10682574[16].
  • Cauchy principal value's Digital Library of Mathematical Functions ID is recorded as 1.4.E24[17].

Why It Matters

Cauchy principal value ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (238 views/month).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[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] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. 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 principal value. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-principal-value
MLA “Cauchy principal value.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-principal-value.
BibTeX @misc{4ortxyz_cauchy-principal-value_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy principal value}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-principal-value}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cauchy principal value — https://4ort.xyz/entity/cauchy-principal-value (retrieved 2026-05-03)

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