Neuron Problem

Let us consider the sigmoid function: (z) =-= (-1)'e-tz for z > 0 1 + e-z t-o Please list possible functions based on the sigmoid function, i.e., f(x) = (T), where T is a linear transformation (map) of x, to implement the boolean functions, AND, OR and NOT, respectively. For instance, when x = (1,1), xiANDX2 = 1, and X1 = 1, x2 = 0, X1 ANDx2 = 0, (l expect every student can come up with your OWN function!) Let us consider the sigmoid function: (z) =-= (-1)'e-tz for z > 0 1 + e-z t-o Please list possible functions based on the sigmoid function, i.e., f(x) = (T), where T is a linear transformation (map) of x, to implement the boolean functions, AND, OR and NOT, respectively. For instance, when x = (1,1), xiANDX2 = 1, and X1 = 1, x2 = 0, X1 ANDx2 = 0, (l expect every student can come up with your OWN function!)