Borel–Cantelli lemma

mathematical sentence
Thing lemma Q893496
Press Enter · cited answer in seconds

Borel–Cantelli lemma

Summary

Borel–Cantelli lemma is a lemma[1]. It ranks in the top 4% of lemma entities by monthly Wikipedia readership (343 views/month).[2]

Key Facts

  • Borel–Cantelli lemma's instance of is recorded as lemma[3].
  • Borel–Cantelli lemma's instance of is recorded as theorem[4].
  • Francesco Paolo Cantelli is named after Borel–Cantelli lemma[5].
  • Émile Borel is named after Borel–Cantelli lemma[6].
  • Borel–Cantelli lemma's Freebase ID is recorded as /m/0c7wy[7].
  • Borel–Cantelli lemma's defining formula is recorded as \sum_{n=1}^\infty \Pr(E_n)<\infty<sup id="cite-C15" class="cite-ref" title="Borel–Cantelli lemma — defining formula (P2534): \sum_{n=1}^\infty \Pr(E_n)<\infty">[8].
  • Borel–Cantelli lemma's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Borel–Cantelli lemma's Microsoft Academic ID is recorded as 106220722[10].
  • Borel–Cantelli lemma's Treccani's Enciclopedia della Matematica ID is recorded as lemma-di-borel-cantelli[11].
  • Borel–Cantelli lemma's ScienceDirect topic ID is recorded as mathematics/borel-cantelli-lemma[12].

Why It Matters

Borel–Cantelli lemma ranks in the top 4% of lemma entities by monthly Wikipedia readership (343 views/month).[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[13] It is known by 15 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] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . 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). Borel–Cantelli lemma. Retrieved May 3, 2026, from https://4ort.xyz/entity/borel-cantelli-lemma
MLA “Borel–Cantelli lemma.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/borel-cantelli-lemma.
BibTeX @misc{4ortxyz_borel-cantelli-lemma_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Borel–Cantelli lemma}}, year = {2026}, url = {https://4ort.xyz/entity/borel-cantelli-lemma}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Borel–Cantelli lemma — https://4ort.xyz/entity/borel-cantelli-lemma (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/borel-cantelli-lemma · Last refreshed: