Logistic Function
A logistic function or logistic curve is a common "S" shape (sigmoid curve), with equation:
                                                  
where
- e = the natural logarithm base (also known as Euler's number), 
- x0 = the x-value of the sigmoid's midpoint, 
- L = the curve's maximum value, and 
- k = the steepness of the curve. 
                                  
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