hyperbolic tangent

hyperbolic function
Thing hyperbolic_function Q1274703
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hyperbolic tangent

Summary

hyperbolic tangent is a hyperbolic function[1]. It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • hyperbolic tangent's instance of is recorded as hyperbolic function[3].
  • hyperbolic tangent's instance of is recorded as odd function[4].
  • hyperbolic tangent's instance of is recorded as meromorphic function[5].
  • hyperbolic tangent's Commons category is recorded as Hyperbolic tangent function[6].
  • hyperbolic tangent is the opposite of hyperbolic cotangent[7].
  • hyperbolic tangent's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
  • hyperbolic tangent's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • hyperbolic tangent's mathematical inverse is recorded as inverse hyperbolic tangent[10].
  • hyperbolic tangent's mathematical inverse is recorded as hyperbolic cotangent[11].

Body

Definition and Type

Recorded instance of include hyperbolic function[3], odd function[4], and meromorphic function[5]. hyperbolic tangent is the opposite of hyperbolic cotangent[7].

Why It Matters

hyperbolic tangent has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2] It is known by 10 alternative names across languages and contexts.[12]

📑 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). hyperbolic tangent. Retrieved May 3, 2026, from https://4ort.xyz/entity/hyperbolic-tangent
MLA “hyperbolic tangent.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hyperbolic-tangent.
BibTeX @misc{4ortxyz_hyperbolic-tangent_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{hyperbolic tangent}}, year = {2026}, url = {https://4ort.xyz/entity/hyperbolic-tangent}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): hyperbolic tangent — https://4ort.xyz/entity/hyperbolic-tangent (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6w ago · Midleading · 2026-07-08 view diff on Wikidata ↗
    Power series expansion \tanh x = \sum_{n=1}^\infty \frac{2^{2n}(2^{2n}-1)B_{2n} x^{2n-1}}{(2n)!} = x -
    "/* wbsetclaim-create:2||1 */ [[Property:P10969]]: \tanh x = \sum_{n=1}^\infty \frac{2^{2n}(2^{2n}-1)B_{2n} x^{2n-1}}{(2n)!} = x - \frac {x^3} {3} + \frac {2x^5} {15} - \frac {17x^7} {315} + \cdots , \"
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