Simpson's rule

numerical integration
Intangible mathematical_concept Q722507
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Simpson's rule

Summary

Simpson's rule is a mathematical concept[1]. It ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (682 views/month).[2]

Key Facts

  • Simpson's rule's instance of is recorded as mathematical concept[3].
  • Thomas Simpson is named after Simpson's rule[4].
  • Isaac Newton is named after Simpson's rule[5].
  • Bonaventura Cavalieri is named after Simpson's rule[6].
  • Simpson's rule's subclass of is recorded as Newton–Cotes formula[7].
  • Simpson's rule's Commons category is recorded as Simpson's rule[8].
  • Simpson's rule's Freebase ID is recorded as /m/01g4dj[9].
  • Simpson's rule's defining formula is recorded as \int_{a}^{b} f(x) \, dx \approx \tfrac{b-a}{6}\left[f(a) + 4f\left(\tfrac{a+b}{2}\right)+f(b)\right][10].
  • Simpson's rule's MathWorld ID is recorded as SimpsonsRule[11].
  • Simpson's rule's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Simpson's rule's Microsoft Academic ID is recorded as 136042522[13].
  • Simpson's rule's ProofWiki ID is recorded as Simpson's_Rule[14].
  • Simpson's rule's PlanetMath ID is recorded as Simpsons38Rule[15].
  • Simpson's rule's Lex ID is recorded as Simpsons_formel[16].
  • Simpson's rule's Lex ID is recorded as Keplers_tønderegel[17].

Why It Matters

Simpson's rule ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (682 views/month).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[18] It is known by 35 alternative names across languages and contexts.[19]

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] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). Simpson's rule. Retrieved May 3, 2026, from https://4ort.xyz/entity/simpson-s-rule
MLA “Simpson's rule.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/simpson-s-rule.
BibTeX @misc{4ortxyz_simpson-s-rule_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Simpson's rule}}, year = {2026}, url = {https://4ort.xyz/entity/simpson-s-rule}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Simpson's rule — https://4ort.xyz/entity/simpson-s-rule (retrieved 2026-05-03)

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