# Superposition Principles

Within mathematics and physics, the superposition principles define the conditions for a linear system, there are two principles called homogeneity and additively. The additivity principle states that we can add the effect or output of two systems together and the resulting combined system will be nothing more that the simple addition of each system’s output in isolation. The homogeneity principle states that the output of a linear system is always directly proportional to the input, so if we put twice as much into the system we will, in turn, get out twice as much. The superposition principles hold for any linear system.