hyperoperation

generalization of addition, multiplication, exponentiation, tetration, etc.
Thing general Q1569997
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hyperoperation

Summary

hyperoperation ranks in the top 2% of general entities by monthly Wikipedia readership (436 views/month).[1]

Key Facts

  • hyperoperation's image is recorded as Hyperoperation 3 and n with real number.svg[2].
  • hyperoperation's subclass of is recorded as mathematical operation[3].
  • hyperoperation's Commons category is recorded as Hyperoperations[4].
  • hyperoperation's Freebase ID is recorded as /m/05_5v_r[5].
  • hyperoperation's topic's main category is recorded as Category:Hyperoperations[6].
  • hyperoperation's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/hyperoperation[7].
  • hyperoperation's defining formula is recorded as a \uparrow^m b = \underbrace{a \uparrow^{m-1} \left(a \uparrow^{m-1} \left[a \uparrow^{m-1} \left(\ldots \left[a \uparrow^{m-1} \left(a \uparrow^{m-1} a\right)\right] \ldots \right)\right]\right)}_{\displaystyle b\mbox{ copies of }a},\quad m \geq 0[8].
  • hyperoperation's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • hyperoperation's Microsoft Academic ID is recorded as 2781396212[10].
  • hyperoperation's NicoNicoPedia ID is recorded as ハイパー演算子[11].
  • hyperoperation's in defining formula is recorded as a[12].
  • hyperoperation's in defining formula is recorded as m[13].
  • hyperoperation's in defining formula is recorded as \uparrow[14].

Why It Matters

hyperoperation ranks in the top 2% of general entities by monthly Wikipedia readership (436 views/month).[1] hyperoperation has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[15] hyperoperation is known by 16 alternative names across languages and contexts.[16]

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] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.
  3. [16] . 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). hyperoperation. Retrieved April 10, 2026, from https://4ort.xyz/entity/hyperoperation
MLA “hyperoperation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/hyperoperation.
BibTeX @misc{4ortxyz_hyperoperation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{hyperoperation}}, year = {2026}, url = {https://4ort.xyz/entity/hyperoperation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): hyperoperation — https://4ort.xyz/entity/hyperoperation (retrieved 2026-04-10)

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