maths.gaussian

Reference: https://en.wikipedia.org/wiki/Gaussian_function

Functions

gaussian(→ float)

Module Contents

maths.gaussian.gaussian(x, mu: float = 0.0, sigma: float = 1.0) → float

>>> float(gaussian(1))
0.24197072451914337

>>> float(gaussian(24))
3.342714441794458e-126

>>> float(gaussian(1, 4, 2))
0.06475879783294587

>>> float(gaussian(1, 5, 3))
0.05467002489199788

Supports NumPy Arrays Use numpy.meshgrid with this to generate gaussian blur on images. >>> import numpy as np >>> x = np.arange(15) >>> gaussian(x) array([3.98942280e-01, 2.41970725e-01, 5.39909665e-02, 4.43184841e-03,

1.33830226e-04, 1.48671951e-06, 6.07588285e-09, 9.13472041e-12, 5.05227108e-15, 1.02797736e-18, 7.69459863e-23, 2.11881925e-27, 2.14638374e-32, 7.99882776e-38, 1.09660656e-43])

>>> float(gaussian(15))
5.530709549844416e-50

>>> gaussian([1,2, 'string'])
Traceback (most recent call last):
    ...
TypeError: unsupported operand type(s) for -: 'list' and 'float'

>>> gaussian('hello world')
Traceback (most recent call last):
    ...
TypeError: unsupported operand type(s) for -: 'str' and 'float'

>>> gaussian(10**234) 
Traceback (most recent call last):
    ...
OverflowError: (34, 'Result too large')

>>> float(gaussian(10**-326))
0.3989422804014327

>>> float(gaussian(2523, mu=234234, sigma=3425))
0.0