from brian2 import arcsinh)
arcsinh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])¶
Inverse hyperbolic sine element-wise.
x : array_like
out : ndarray, None, or tuple of ndarray and None, optional
A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or
None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.
where : array_like, optional
Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone.
For other keyword-only arguments, see the ufunc docs.
out : ndarray or scalar
Array of the same shape as
x. This is a scalar if
xis a scalar.
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])