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General Logistic Sigmoid Function

A logistic function or logistic curve is a common “S” shape (sigmoid curve). Data that follows an increasing logistic curve usually describes ... more

Minimum or maximum value of the quadratic function

A quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which ... more

X-Coordinate of the vertex, of the parabola of a Quadratic Function

Parabolas with axes of symmetry parallel to the y-axis have equations of the form y=ax^2+bx+c.
The x-coordinate and y-coordinate at the vertex can be ... more

Beta distribution (probability density function)

In probability theory and statistics, the beta distribution is a family of continuous probability distributions parametrized by two positive shape ... more

Cauchy–Lorentz distribution (cumulative distribution function)

In probability and statistics,the Cauchy distribution, is a continuous probability distribution. The Cauchy distribution is often used in statistics as the ... more

Gamma Function

In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its argument shifted down by ... more

Gamma function ( complex numbers with a positive real part))

In mathematics, the gamma function is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers. The ... more

Standard logistic sigmoid function (k=1, x0=0, L=1)

A logistic function or logistic curve is a common “S” shape (sigmoid curve). Data that follows an increasing logistic curve usually describes ... more

Beta Function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function.The beta function was studied by Euler and ... more

Transformed Exponential Function

In general, an exponential function is one of an exponential form , where the base is “b” and the exponent is “x”. In general, the ... more

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