The Kolmogorov Forward Equation is a mathematical formula used in probability theory and stochastic processes. It describes how the probability distribution of a system changes over time. This equation is particularly useful in modeling systems that evolve randomly, such as in finance or physics. In essence, the equation provides a way to calculate the future probabilities of different states of a system based on its current state. It is named after the Russian mathematician Andrey Kolmogorov, who made significant contributions to the field of probability. The equation is foundational in areas like Markov processes and diffusion theory.