this script demonstrates the implementation of the sigmoid function the function takes a vector of k real numbers as input and then 1 1 expx after through sigmoid the element of the vector mostly 0 between 1 or 1 between 1 script inspired from its corresponding wikipedia article https en wikipedia orgwikisigmoidfunction implements the sigmoid function parameters vector np array a numpy array of shape 1 n consisting of real values returns sigmoidvec np array the input numpy array after applying sigmoid examples sigmoidnp array1 0 1 0 2 0 array0 26894142 0 73105858 0 88079708 sigmoidnp array0 0 array0 5 implements the sigmoid function parameters vector np array a numpy array of shape 1 n consisting of real values returns sigmoid_vec np array the input numpy array after applying sigmoid examples sigmoid np array 1 0 1 0 2 0 array 0 26894142 0 73105858 0 88079708 sigmoid np array 0 0 array 0 5
import numpy as np


def sigmoid(vector: np.ndarray) -> np.ndarray:
    
    return 1 / (1 + np.exp(-vector))


if __name__ == "__main__":
    import doctest

    doctest.testmod()