numpy.arccosh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj]) = <ufunc 'arccosh'>
Inverse hyperbolic cosine, element-wise.
arccosh is a multivalued function: for each
x there are infinitely many numbers
z such that
cosh(z) = x. The convention is to return the
z whose imaginary part lies in
[-pi, pi] and the real part in
For real-valued input data types,
arccosh always returns real output. For each value that cannot be expressed as a real number or infinity, it yields
nan and sets the
invalid floating point error flag.
For complex-valued input,
arccosh is a complex analytical function that has a branch cut
[-inf, 1] and is continuous from above on it.
|||M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 86. http://www.math.sfu.ca/~cbm/aands/|
|||Wikipedia, “Inverse hyperbolic function”, https://en.wikipedia.org/wiki/Arccosh|
>>> np.arccosh([np.e, 10.0]) array([ 1.65745445, 2.99322285]) >>> np.arccosh(1) 0.0
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