Linear arithmetic synthesis is a method used in computer music and sound design to create complex sounds by combining simple waveforms. This technique relies on the principles of linear algebra, where different sound waves are added together in a linear fashion to produce new audio signals. By manipulating parameters such as frequency and amplitude, linear arithmetic synthesis allows for a wide range of sound textures and timbres. It is often utilized in digital synthesizers and software like Max/MSP or Pure Data, enabling musicians and sound designers to craft unique auditory experiences through mathematical relationships.