Cauchy condensation test

Standard convergence test for infinite series
Intangible theorem Q1051423
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Cauchy condensation test

Summary

Cauchy condensation test is a theorem[1]. It draws 92 Wikipedia views per month (theorem category, ranking #202 of 1,306).[2]

Key Facts

  • Cauchy condensation test's instance of is recorded as theorem[3].
  • Cauchy condensation test's instance of is recorded as convergence test[4].
  • Augustin-Louis Cauchy is named after Cauchy condensation test[5].
  • Cauchy condensation test's Freebase ID is recorded as /m/09gqbf[6].
  • Cauchy condensation test's defining formula is recorded as 0 \ \leq\ \sum_{n=1}^{\infty} f(n)\ \leq\ \sum_{n=0}^{\infty} 2^{n}f(2^{n})\ \leq\ 2\sum_{n=1}^{\infty} f(n)\ \leq\ +\infty[7].
  • Cauchy condensation test's studied by is recorded as calculus[8].
  • Cauchy condensation test's MathWorld ID is recorded as CauchyCondensationTest[9].
  • Cauchy condensation test's Quora topic ID is recorded as Cauchy-Condensation-Test[10].
  • Cauchy condensation test's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Cauchy condensation test's Microsoft Academic ID is recorded as 150900454[12].

Why It Matters

Cauchy condensation test draws 92 Wikipedia views per month (theorem category, ranking #202 of 1,306).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[13] It is known by 11 alternative names across languages and contexts.[14]

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] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Quora. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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 condensation test. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-condensation-test
MLA “Cauchy condensation test.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-condensation-test.
BibTeX @misc{4ortxyz_cauchy-condensation-test_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy condensation test}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-condensation-test}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cauchy condensation test — https://4ort.xyz/entity/cauchy-condensation-test (retrieved 2026-05-03)

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