Bebe and Louis Barron and the Machine", by mathematician Norbert Wiener from MIT played an important role in the development of the Barrons' composition. The science of cybernetics proposes that certain natural laws of behavior apply to both animals and more complex electronic machines. By following the equations presented in the book, Louis was able to build electronic circuits which he manipulated to generate sounds. Most of the tonalities were generated with a circuit called a ring modulator. The sounds and patterns that came out of the circuits were unique and unpredictable because they were actually overloading the circuits until they burned out to
Paley–Wiener integral Paley–Wiener integral In mathematics, the Paley–Wiener integral is a simple stochastic integral. When applied to classical Wiener space, it is less general than the Itō integral, but the two agree when they are both defined. The integral is named after its discoverers, Raymond Paley and Norbert Wiener. Let "i" : "H" → "E" be an abstract Wiener space with abstract Wiener measure "γ" on "E". Let "j" : "E" → "H" be the adjoint of "i". (We have abused notation slightly: strictly speaking, "j" : "E" → "H", but since "H" is a Hilbert space, it is isometrically isomorphic to