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Weierstrass substitution

technique to integrate rational functions involving trigonometric functions.
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Weierstrass substitution

Summary

Weierstrass substitution ranks in the top 2% of general entities by monthly Wikipedia readership (168 views/month).[1]

Key Facts

  • Karl Weierstraß is named after Weierstrass substitution[2].
  • Weierstrass substitution's subclass of is recorded as trigonometric identity[3].
  • Weierstrass substitution's Freebase ID is recorded as /m/0g5qsmr[4].
  • Weierstrass substitution's defining formula is recorded as t = \tan(x/2)[5].
  • Weierstrass substitution's MathWorld ID is recorded as WeierstrassSubstitution[6].
  • Weierstrass substitution's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Weierstrass substitution's Microsoft Academic ID is recorded as 179322274[8].

Why It Matters

Weierstrass substitution ranks in the top 2% of general entities by monthly Wikipedia readership (168 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[9] It is known by 9 alternative names across languages and contexts.[10]

Related Entities

Karl Weierstraß

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . Freebase Data Dumps. wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . 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). Weierstrass substitution. Retrieved April 10, 2026, from https://4ort.xyz/entity/weierstrass-substitution
MLA “Weierstrass substitution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/weierstrass-substitution.
BibTeX @misc{4ortxyz_weierstrass-substitution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Weierstrass substitution}}, year = {2026}, url = {https://4ort.xyz/entity/weierstrass-substitution}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Weierstrass substitution — https://4ort.xyz/entity/weierstrass-substitution (retrieved 2026-04-10)

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