



import numpy as np


def 		_UpperCAmelCase				(      snake_case			):





					"""simple docstring"""

					return 1 / (1 + np.exp(-vector			))


def 		_UpperCAmelCase				(      snake_case			):





					"""simple docstring"""

					return vector * sigmoid(1.702 * vector			)


if __name__ == "__main__":
	import doctest

	doctest.testmod()







'''simple docstring'''



from numpy import exp, pi, sqrt



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				Optional[int]      ,    UpperCAmelCase_    :				float = 0.0      ,    UpperCAmelCase_    :				float = 1.0							)     ->		int:
     return 1 / sqrt(2 * pi * sigma**2							) * exp(-((x - mu) ** 2) / (2 * sigma**2)							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()






