Tue May 20 22:31:35 2025

sigmoid_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test sigmoid.

sigmoid_coef_test():
  sigmoid_coef() returns the coefficients of
  the expansion of the nth derivative of the sigmoid
  function in terms of powers of the sigmoid function.
  s^(0)(x) =   1 * s(x)
  s^(1)(x) =   1 * s(x) - 1 * s(x)^2
  s^(2)(x) =   1 * s(x) - 3 * s(x)^2 + 2 * s(x)^3
  s^(3)(x) =   1 * s(x) - 7 * s(x)^2 + 12 * s(x)^3 - 6 * s(x)^4
  s^(4)(x) =   1 * s(x) - 15 * s(x)^2 + 50 * s(x)^3 - 60 * s(x)^4 + 24 * s(x)^5

sigmoid_value_test():
  sigmoid_value() evaluates the nth derivative
  of the sigmoid function at the location x.
  Graphics saved as "sigmoid_0.png"
  Graphics saved as "sigmoid_1.png"
  Graphics saved as "sigmoid_2.png"
  Graphics saved as "sigmoid_3.png"

sigmoid_test():
  Normal end of execution.

Tue May 20 22:31:37 2025