Symbols:A/Area Hyperbolic Cosine/arc cosh
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Area Hyperbolic Cosine
- $\operatorname {arc cosh}$
The principal branch of the real inverse hyperbolic cosine function is defined as:
- $\forall x \in S: \map \arcosh x := \map \ln {x + \sqrt {x^2 - 1} }$
where:
- $\ln$ denotes the natural logarithm of a (strictly positive) real number.
- $\sqrt {x^2 - 1}$ specifically denotes the positive square root of $x^2 - 1$
That is, where $\map \arcosh x \ge 0$.
A questionable and clumsy symbol used to denote the area hyperbolic cosine function is $\operatorname {arc cosh}$.
Its $\LaTeX$ code is \operatorname {arc cosh}
.
Also denoted as
arccosh
- $\operatorname {arccosh}$
A questionable symbol used to denote the area hyperbolic cosine function is $\operatorname {arccosh}$.
Its $\LaTeX$ code is \operatorname {arccosh}
.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): arc cosh, arc sinh, arc tanh, etc.${}$