Symbols:A/Area Hyperbolic Secant
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Area Hyperbolic Secant
The principal branch of the real inverse hyperbolic secant function is defined as:
- $\forall x \in S: \map \arsech x := \map \ln {\dfrac {1 + \sqrt {1 - x^2} } x}$
where:
- $\ln$ denotes the natural logarithm of a (strictly positive) real number.
- $\sqrt {1 - x^2}$ specifically denotes the positive square root of $x^2 - 1$
That is, where $\map \arsech x \ge 0$.
arsech
- $\arsech$
The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic secant function is $\arsech$.
The $\LaTeX$ code for \(\arsech\) is \arsech
.
asech
- $\operatorname {asech}$
A variant symbol used to denote the area hyperbolic secant function is $\operatorname {asech}$.
The $\LaTeX$ code for \(\operatorname {asech}\) is \operatorname {asech}
.