Symbols:A/Area Hyperbolic Sine
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Area Hyperbolic Sine
The inverse hyperbolic sine $\arsinh: \R \to \R$ is a real function defined on $\R$ as:
- $\forall x \in \R: \map \arsinh x := \map \ln {x + \sqrt {x^2 + 1} }$
where:
- $\ln$ denotes the natural logarithm of a (strictly positive) real number
- $\sqrt {x^2 + 1}$ denotes the positive square root of $x^2 + 1$.
arsinh
- $\arsinh$
The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic sine function is $\arsinh$.
The $\LaTeX$ code for \(\arsinh\) is \arsinh
.
asinh
- $\operatorname {asinh}$
A variant symbol used to denote the area hyperbolic sine function is $\operatorname {asinh}$.
The $\LaTeX$ code for \(\operatorname {asinh}\) is \operatorname {asinh}
.
arcsinh
- $\operatorname {arcsinh}$
A questionable symbol used to denote the area hyperbolic sine function is $\operatorname {arcsinh}$.
Its $\LaTeX$ code is \operatorname {arcsinh}
.
arc sinh
- $\operatorname {arc sinh}$
A questionable and clumsy symbol used to denote the area hyperbolic sine function is $\operatorname {arc sinh}$.
Its $\LaTeX$ code is \operatorname {arc sinh}
.