Symbols:A/Area Hyperbolic Sine/arc sinh
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Area Hyperbolic Sine
- $\operatorname {arc sinh}$
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 $x^2 + 1$.
A questionable and clumsy symbol used to denote the area hyperbolic sine function is $\operatorname {arc sinh}$.
Its $\LaTeX$ code is \operatorname {arc sinh}
.
Also denoted as
arcsinh
- $\operatorname {arcsinh}$
A questionable symbol used to denote the area hyperbolic sine function is $\operatorname {arcsinh}$.
Its $\LaTeX$ code is \operatorname {arcsinh}
.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): arc cosh, arc sinh, arc tanh, etc.${}$