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Showing content from http://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.expm1.html below:

numpy.expm1 — NumPy v1.11 Manual

Calculate exp(x) - 1 for all elements in the array.

This function provides greater precision than exp(x) - 1 for small values of x.

The true value of exp(1e-10) - 1 is 1.00000000005e-10 to about 32 significant digits. This example shows the superiority of expm1 in this case.

>>> np.expm1(1e-10)
1.00000000005e-10
>>> np.exp(1e-10) - 1
1.000000082740371e-10

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