-
abbreviations use the
prefix ar- (that is: arsinh, arcosh, artanh, ****ch,
arcsch, arcoth). In
computer programming languages,
inverse circular and hyperbolic...
-
denoted "sech−1", "asech" or
sometimes "arcsech") area
hyperbolic cosecant "
arcsch" (also
denoted "arcosech", "csch−1", "cosech−1","acsch", "acosech", or sometimes...
- \mathrm {FWHM} =2\operatorname {
arcsch} \left({\tfrac {1}{2}}\right)X=2\ln(2+{\sqrt {3}})\;X\approx 2.634\;X}
where arcsch is the
inverse hyperbolic secant...
- dx\quad (m\neq -1)} ∫
arcsch(ax)dx=xarcsch(ax)+1aarcoth1a2x2+1+C{\displaystyle \int \operatorname {
arcsch} (ax)\,dx=x\operatorname {
arcsch} (ax)+{\frac {1}{a}}\operatorname...
- {5}}+1}{2}}\right)^{2}\\&=-{\frac {{\pi }^{2}}{15}}+{\frac {1}{2}}\operatorname {
arcsch} ^{2}2.\end{aligned}}} Li2(−5+12)=−π210−ln25+12=−π210−arcsch22.{\displaystyle...
- function. (Also
written as
arcsch.)
arcosh –
inverse hyperbolic cosine function.
arcoth –
inverse hyperbolic cotangent function.
arcsch –
inverse hyperbolic...
- x=-\operatorname {csch} {x}\coth {x}} d d x
arcsch x = − 1 | x | 1 + x 2 {\displaystyle {\frac {d}{dx}}\operatorname {
arcsch} x=-{\frac {1}{|x|{\sqrt {1+x^{2}}}}}}...
