nlcpy.exp

nlcpy.exp = <ufunc 'nlcpy_exp'>

Computes the exponential of all elements in the input array.

Parameters

xarray_like: Input an array or a scalar.
outndarray or 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.
wherearray_like, optional: This condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value. Note that if an uninitialized 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 section Optional Keyword Arguments.

Returns

yndarray: A ndarray, containing the exponential for each element in x. If x is a scalar, this function returns the result as a 0-dimension ndarray.

See also

expm1: Computes exp(x) - 1 for all elements in the array.
exp2: Computes 2**x for all elements in the array.

Note

The irrational number e is also known as Euler’s number. It is approximately 2.718281, and is the base of the natural logarithm, ln (this means that, if $x = \ln y = \log_e y$ , then $e^x = y$ . For real input, $exp(x)$ is always positive. For complex arguments, x = a + ib, we can write $e^x = e^a e^{ib}$ . The first term, $e^a$ , is already known (it is the real argument, described above). The second term, $e^{ib}$ , is $\cos b + i \sin b$ , a function with magnitude 1 and a periodic phase.

Examples

>>> import nlcpy as vp
>>> vp.exp([1+2j, 3+4j, 5+6j])
array([ -1.13120438 +2.47172667j, -13.12878308-15.20078446j,
       142.50190552-41.46893679j])