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Standard logistic sigmoid function i.e L = l, k = 1, %0 = 0
The logistic function or logistic curve is a common "S" shape (sigmoid curve), with the equation:
L f(x) = 1 + e^(-k(x - Ox))
where:
e is the natural logarithm base (also known as Euler's number),
Ox is the x-value of the sigmoid's midpoint,
L is the curve's maximum value, and
k is the logistic growth rate or steepness of the curve [1].