inverse hyperbolic secant

inverse of the hyperbolic secant function
Thing inverse_hyperbolic_function Q12748486
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inverse hyperbolic secant

Summary

inverse hyperbolic secant is an inverse hyperbolic function[1]. It draws 1 Wikipedia views per month (inverse_hyperbolic_function category, ranking #4 of 5).[2]

Key Facts

  • inverse hyperbolic secant's image is recorded as Inverse Hyperbolic Secant.svg[3].
  • inverse hyperbolic secant's image is recorded as Arsech.png[4].
  • inverse hyperbolic secant's instance of is recorded as inverse hyperbolic function[5].
  • inverse hyperbolic secant's part of is recorded as inverse hyperbolic secant and inverse hyperbolic cosecant[6].
  • inverse hyperbolic secant's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[7].
  • inverse hyperbolic secant's codomain is recorded as set of non-negative real numbers[8].
  • inverse hyperbolic secant's defining formula is recorded as \operatorname{arsech} x = \ln \left( \frac{1 + \sqrt{1 - x^2}}{x} \right)[9].
  • inverse hyperbolic secant's defining formula is recorded as y = \operatorname{arsech} x \Leftrightarrow x = \operatorname{sech} y, y \ge 0[10].
  • inverse hyperbolic secant's Google Knowledge Graph ID is recorded as /g/122df1bc[11].
  • inverse hyperbolic secant's MathWorld ID is recorded as InverseHyperbolicSecant[12].
  • inverse hyperbolic secant's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • inverse hyperbolic secant's ProofWiki ID is recorded as Definition:Area_Hyperbolic_Secant[14].
  • inverse hyperbolic secant's in defining formula is recorded as \operatorname{arsech} x[15].
  • inverse hyperbolic secant's in defining formula is recorded as \sqrt x[16].
  • inverse hyperbolic secant's in defining formula is recorded as \ln x[17].
  • inverse hyperbolic secant's in defining formula is recorded as \operatorname{sech} x[18].
  • inverse hyperbolic secant's mathematical inverse is recorded as hyperbolic secant[19].
  • inverse hyperbolic secant's Lexikon der Mathematik entry ID is recorded as 268[20].

Why It Matters

inverse hyperbolic secant draws 1 Wikipedia views per month (inverse_hyperbolic_function category, ranking #4 of 5).[2] It is known by 10 alternative names across languages and contexts.[21]

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] . wikidata.org.
  8. [10] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. 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.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . 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 secant. Retrieved May 3, 2026, from https://4ort.xyz/entity/inverse-hyperbolic-secant
MLA “inverse hyperbolic secant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/inverse-hyperbolic-secant.
BibTeX @misc{4ortxyz_inverse-hyperbolic-secant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{inverse hyperbolic secant}}, year = {2026}, url = {https://4ort.xyz/entity/inverse-hyperbolic-secant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): inverse hyperbolic secant — https://4ort.xyz/entity/inverse-hyperbolic-secant (retrieved 2026-05-03)

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