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Gudermannian function

In mathematics, the Gudermannian function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called the gudermannian of ψ {\textstyle \psi } and denoted gd ⁡ ψ {\textstyle \operatorname {gd} \psi } . The Gudermannian function reveals a close relationship between the circular functions and hyperbolic…

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Overview

Circular–hyperbolic identities

Complex values

Argument-addition identities

Taylor series

History

Generalization

Applications

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Map overview Semantic statistics

Gudermannian function

Nodes72
Edges71
Triples21
Avg. degree1.97
Density0.027778
Components1

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Gudermannian function

Top relations

has application · 11
Gudermannian function → By, Casimir, Gudermannian, If, In, It, Mercator, On, Pi, The, The Gudermannian
related to External links · 4
Gudermannian function → Gudermannian, Michael, Penn, YouTube
related to Generalization · 3
Gudermannian function → Points, The, The Gudermannian
related to Derivatives · 2
Gudermannian function → As, Gudermannian
is a · 1
Gudermannian function → sigmoid function

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Important terminology

hyperbolic function gudermannian textstyle gd operatorname circular functions phi psi -1 complex inverse projection pi angle called used tfrac displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gudermannian functionis asigmoid function0.90text
Gudermannian functionhas applicationBy0.60section
Gudermannian functionhas applicationGudermannian0.60section
Gudermannian functionhas applicationIt0.60section
Gudermannian functionhas applicationIn0.60section
Gudermannian functionhas applicationThe0.60section
Gudermannian functionhas applicationPi0.60section
Gudermannian functionhas applicationOn0.60section
Gudermannian functionhas applicationMercator0.60section
Gudermannian functionhas applicationThe Gudermannian0.60section
Gudermannian functionhas applicationCasimir0.60section
Gudermannian functionhas applicationIf0.60section

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