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numpy.arcsinh(x[, out]) =
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Inverse hyperbolic sine element-wise.
Parameters: x : array_like
Input array.
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
doc.ufuncs
.Returns: out : ndarray
Array of of the same shape as
x
.Notes
arcsinh
is a multivalued function: for eachx
there are infinitely many numbersz
such thatsinh(z) = x
. The convention is to return thez
whose imaginary part lies in[-pi/2, pi/2]
.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 returnsnan
and sets theinvalid
floating point error flag.For complex-valued input,
arccos
is a complex analytical function that has branch cuts[1j, infj]
and[-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
asinh
orsinh^-1
.References
[R4] M. Abramowitz and I.A. Stegun, ?Handbook of Mathematical Functions?, 10th printing, 1964, pp. 86. http://www.math.sfu.ca/~cbm/aands/ [R5] Wikipedia, ?Inverse hyperbolic function?, http://en.wikipedia.org/wiki/Arcsinh Examples
>>> np.arcsinh(np.array([np.e, 10.0])) array([ 1.72538256, 2.99822295])
numpy.arcsinh()
2017-01-10 18:12:42
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