Tak

recursive function
Thing recursive_function Q736804
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Tak

Summary

Tak is a recursive function[1]. Tak draws 4 Wikipedia views per month (recursive_function category, ranking #2 of 1).[2]

Key Facts

  • Tak is credited with the discovery of Ikuo Takeuchi[3].
  • Tak's instance of is recorded as recursive function[4].
  • Tak's instance of is recorded as function[5].
  • Ikuo Takeuchi is named after Tak[6].
  • Tak's has use is recorded as benchmark[7].
  • Tak's time of discovery or invention is recorded as +1978-00-00T00:00:00Z[8].
  • Tak's Freebase ID is recorded as /m/0ch4p6[9].
  • Tak's defining formula is recorded as \tau (x,y,z) = \begin{cases} \tau (\tau (x-1,y,z) ,\tau (y-1,z,x) ,\tau (z-1,x,y) ) & y < x \ z & y \ge x\end{cases}<sup id="cite-C14" class="cite-ref" title="Tak — defining formula (P2534): \tau (x,y,z) = \begin{cases} \tau (\tau (x-1,y,z) ,\tau (y-1,z,x) ,\tau (z-1,x,y) ) & y < x \ z & y \ge x\end{cases}">[10].
  • Tak's MathWorld ID is recorded as TAKFunction[11].
  • Tak's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Tak's in defining formula is recorded as x[13].
  • Tak's in defining formula is recorded as y[14].
  • Tak's in defining formula is recorded as z[15].
  • Tak's in defining formula is recorded as \tau[16].

Body

Works and Contributions

Tak is credited with the discovery of Ikuo Takeuchi[3].

Why It Matters

Tak draws 4 Wikipedia views per month (recursive_function category, ranking #2 of 1).[2]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Retrieved . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.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). Tak. Retrieved May 3, 2026, from https://4ort.xyz/entity/tak-q736804
MLA “Tak.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tak-q736804.
BibTeX @misc{4ortxyz_tak-q736804_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Tak}}, year = {2026}, url = {https://4ort.xyz/entity/tak-q736804}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Tak — https://4ort.xyz/entity/tak-q736804 (retrieved 2026-05-03)

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