from brian2 import arcsinh)
Inverse hyperbolic sine element-wise.
x : array_like
out : ndarray, optional
Array into which the output is placed. Its type is preserved and it must be of the right shape to hold the output. See
out : ndarray
Array of of the same shape as
arcsinh()is a multivalued function: for each
xthere are infinitely many numbers
sinh(z) = x. The convention is to return the
zwhose imaginary part lies in
For real-valued input data types,
arcsinh()always returns real output. For each value that cannot be expressed as a real number or infinity, it returns
nanand sets the
invalidfloating point error flag.
For complex-valued input,
arccos()is a complex analytical function that has branch cuts
[-1j, -infj]and is continuous from the right on the former and from the left on the latter.
The inverse hyperbolic sine is also known as
[R15] M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 86. http://www.math.sfu.ca/~cbm/aands/ [R16] Wikipedia, “Inverse hyperbolic function”, http://en.wikipedia.org/wiki/Arcsinh
>>> np.arcsinh(np.array([np.e, 10.0])) array([ 1.72538256, 2.99822295])