inverse hyperbolic tangent

inverse of the hyperbolic tangent function
Thing inverse_hyperbolic_function Q1565608
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inverse hyperbolic tangent

Summary

inverse hyperbolic tangent is an inverse hyperbolic function[1]. It draws 6 Wikipedia views per month (inverse_hyperbolic_function category, ranking #1 of 5).[2]

Key Facts

  • inverse hyperbolic tangent's image is recorded as Inverse Hyperbolic Tangent.svg[3].
  • inverse hyperbolic tangent's instance of is recorded as inverse hyperbolic function[4].
  • inverse hyperbolic tangent's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[5].
  • inverse hyperbolic tangent's defining formula is recorded as \operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x))[6].
  • inverse hyperbolic tangent's defining formula is recorded as y = \operatorname{artanh} x \Leftrightarrow x = \tanh y[7].
  • inverse hyperbolic tangent's Google Knowledge Graph ID is recorded as /g/121sxnvv[8].
  • inverse hyperbolic tangent's MathWorld ID is recorded as InverseHyperbolicTangent[9].
  • inverse hyperbolic tangent's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • inverse hyperbolic tangent's ProofWiki ID is recorded as Definition:Area_Hyperbolic_Tangent[11].
  • inverse hyperbolic tangent's in defining formula is recorded as \operatorname{artanh} x[12].
  • inverse hyperbolic tangent's in defining formula is recorded as \ln x[13].
  • inverse hyperbolic tangent's in defining formula is recorded as \tanh x[14].
  • inverse hyperbolic tangent's mathematical inverse is recorded as hyperbolic tangent[15].
  • inverse hyperbolic tangent's Lexikon der Mathematik entry ID is recorded as 272[16].

Why It Matters

inverse hyperbolic tangent draws 6 Wikipedia views per month (inverse_hyperbolic_function category, ranking #1 of 5).[2] It is known by 22 alternative names across languages and contexts.[17]

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] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . 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.
  2. [17] . 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). inverse hyperbolic tangent. Retrieved May 3, 2026, from https://4ort.xyz/entity/inverse-hyperbolic-tangent
MLA “inverse hyperbolic tangent.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/inverse-hyperbolic-tangent.
BibTeX @misc{4ortxyz_inverse-hyperbolic-tangent_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{inverse hyperbolic tangent}}, year = {2026}, url = {https://4ort.xyz/entity/inverse-hyperbolic-tangent}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): inverse hyperbolic tangent — https://4ort.xyz/entity/inverse-hyperbolic-tangent (retrieved 2026-05-03)

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