Josiah Willard Gibbs in which he used as epigraph a remark attributed to Gibbs: "Mathematics is a language." Samuelson later explained that in his understanding of prices his "debts were not primarily to Pareto or Slutsky, but to the great thermodynamicist, Willard Gibbs of Yale." Mathematician Norbert Wiener cited Gibbs's use of probability in the formulation of statistical mechanics as "the first great revolution of twentieth century physics" and as a major influence on his conception of cybernetics. Wiener explained in the preface to his book "The Human Use of Human Beings" that it was "devoted to the impact of the Gibbsian point
Wiener series by Norbert Wiener used in signal processing. Given a system with an input/output pair formula_1 where the input is white noise with zero mean value and power A, we can write the output of the system as sum of a series of Wiener G-functionals formula_2 In the following the expressions of the G-functionals up to the fifth order will be given: formula_3 formula_4 formula_5 formula_6 formula_7 formula_8 formula_9 formula_10 formula_11 Wiener series In mathematics, the Wiener series (or "Wiener G-functional expansion") originates from the 1958 book of Norbert Wiener. It is an orthogonal expansion for nonlinear functionals closely related to