The Dirichlet Conditions are a set of criteria used in mathematical analysis to determine the convergence of a Fourier series. These conditions help identify when a function can be represented as a sum of sine and cosine functions, which is essential in various fields such as signal processing and heat transfer. Specifically, the conditions state that a function must be periodic, single-valued, and have a finite number of discontinuities within a given interval. Additionally, the function should have a finite number of extrema (maximum and minimum points) in that interval. Meeting these criteria ensures that the Fourier series converges to the function at most points.