# mars.tensor.cosh¶

mars.tensor.cosh(x, out=None, where=None, **kwargs)[source]

Hyperbolic cosine, element-wise.

Equivalent to 1/2 * (mt.exp(x) + mt.exp(-x)) and mt.cos(1j*x).

Parameters
• x (array_like) – Input tensor.

• out (Tensor, None, or tuple of Tensor 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 tensor 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.

• **kwargs

Returns

out – Output array of same shape as x.

Return type

Tensor

Examples

>>> import mars.tensor as mt

>>> mt.cosh(0).execute()
1.0


The hyperbolic cosine describes the shape of a hanging cable:

>>> import matplotlib.pyplot as plt
>>> x = mt.linspace(-4, 4, 1000)
>>> plt.plot(x.execute(), mt.cosh(x).execute())
>>> plt.show()