Document

arccosh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

Notes

arccosh is a multivalued function: for each x there are infinitely many numbers :None:None:`z` such that :None:None:`cosh(z) = x`. The convention is to return the :None:None:`z` whose imaginary part lies in [-pi, pi] and the real part in [0, inf] .

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 :None:None:`invalid` floating point error flag.

For complex-valued input, arccosh is a complex analytical function that has a branch cut :None:None:`[-inf, 1]` and is continuous from above on it.

Parameters

x : array_like: Input array.
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: This condition is broadcast over the input. At locations where the condition is True, the :None:None:`out` array will be set to the ufunc result. Elsewhere, the :None:None:`out` array will retain its original value. Note that if an uninitialized :None:None:`out` array is created via the default out=None , locations within it where the condition is False will remain uninitialized.
**kwargs :: For other keyword-only arguments, see the ufunc docs <ufuncs.kwargs> .

Returns

arccosh : ndarray: Array of the same shape as x. This is a scalar if x is a scalar.

Inverse hyperbolic cosine, element-wise.

Examples

This example is valid syntax, but we were not able to check execution

>>> np.arccosh([np.e, 10.0])
array([ 1.65745445,  2.99322285])

This example is valid syntax, but we were not able to check execution

>>> np.arccosh(1)
0.0

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.ma.core.arccosh

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them