10 results about "Logistic function" patented technology

A logistic function or logistic curve is a common "S" shape (sigmoid curve), with equation: f(x)=L/(1+e⁻ᵏ⁽ˣ⁻ˣ₀⁾) 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 logistic growth rate or steepness of the curve. For values of x in the domain of real numbers from −∞ to +∞, the S-curve shown on the right is obtained, with the graph of f approaching L as x approaches +∞ and approaching zero as x approaches −∞.