Symbols:A/Area Hyperbolic Cosine/arc cosh

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.${}$