Maximum Entropy Distribution for Random Variable of Extent [0,Infinity] and a Mean Value Mu

​The maximum entropy constraints are as follows: Over the interval [0,infinity]         …. sum over all probabities must = 1       …. given an average value AKA "mean" The langrangian is formed as follows:          ….setting equal to zero to find the extrema point   Allowing   to take up the Read more…

Derivation of the Normal Gaussian distribution from physical principles

Research Links The Maximum Entropy Principle – The distribution with the maximum entropy is the distribution nature chooses Maximum Entropy Distribution for Random Variable of Extent [0,Infinity] and a Mean Value Mu Quantum Harmonic Oscillator: Wavefunctions Hermite polynomials   In many physical systems the question arises what is the probability Read more…