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 theorem if and only if there is a constant "N" and sequence of constants "C" such that for |Im(ζ)| ≤ "m"log(|ζ|+1). Paley–Wiener theorem In mathematics, a Paley–Wiener theorem is any theorem that relates decay properties of a function or distribution at infinity with analyticity of its Fourier transform. The theorem is named for Raymond Paley (1907–1933) and Norbert Wiener (1894–1964). The original theorems did not use the language of distributions, and instead applied to square-integrable functions. The first such theorem using distributions was due to Laurent Schwartz. The classical Paley–Wiener theorems make use of the holomorphic Fourier transform on classes of