Symbols:A/Area Hyperbolic Tangent/artanh

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Area Hyperbolic Tangent

$\artanh$


The inverse hyperbolic tangent $\artanh: S \to \R$ is a real function defined on $S$ as:

$\forall x \in S: \map \artanh x := \dfrac 1 2 \map \ln {\dfrac {1 + x} {1 - x} }$

where $\ln$ denotes the natural logarithm of a (strictly positive) real number.


The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic tangent function is $\artanh$.


The $\LaTeX$ code for \(\artanh\) is \artanh .


Also denoted as

atanh

$\operatorname {atanh}$

A variant symbol used to denote the area hyperbolic tangent function is $\operatorname {atanh}$.


The $\LaTeX$ code for \(\operatorname {atanh}\) is \operatorname {atanh} .