Mathematical series | Functional analysis
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 the Volterra series and having the same relation to it as an orthogonal Hermite polynomial expansion has to a power series. For this reason it is also known as the Wiener–Hermite expansion. The analogue of the coefficients are referred to as Wiener kernels. The terms of the series are orthogonal (uncorrelated) with respect to a statistical input of white noise. This property allows the terms to be identified in applications by the Lee–Schetzen method. The Wiener series is important in nonlinear system identification. In this context, the series approximates the functional relation of the output to the entire history of system input at any time. The Wiener series has been applied mostly to the identification of biological systems, especially in neuroscience. The name Wiener series is almost exclusively used in system theory. In the mathematical literature it occurs as the Itô expansion (1951) which has a different form but is entirely equivalent to it. The Wiener series should not be confused with the Wiener filter, which is another algorithm developed by Norbert Wiener used in signal processing. (Wikipedia).
Introductory talk on series. Defining a series as a sequence of partial sums.
From playlist Advanced Calculus / Multivariable Calculus
Large deviations for the Wiener Sausage by Frank den Hollander
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Large deviations for the Wiener Sausage (Lecture 2) by Frank den Hollander
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Statistics Lecture 1.5 Part 1: Sampling Techniques
From playlist Statistics Playlist 1
This video introduces the harmonic series, explains why it is divergent and also examples infinite series that resemble the harmonic series. Site: http://mathispower4u.com
From playlist Infinite Series
Financial Option Theory with Mathematica -- Basics of SDEs and Option Pricing
This is my first session of my Financial Option Theory with Mathematica track. I provide an introduction to financial options, develop the relevant SDEs (stochastic differential equations), and then apply them to stock price processes and the pricing of (European) options. You can downloa
From playlist Financial Options Theory with Mathematica
Lec 16 | MIT 18.085 Computational Science and Engineering I
Dynamic estimation: Kalman filter and square root filter A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007
Statistics Lecture 4.2 Part 4: Introduction to Probability
From playlist Statistics Playlist 1
Pork and meat products made in a United States factory sometime in the 1950's. A feature of the U.S. pig and hog industry has been the rapid shift to fewer and larger operations, associated with the advent of electricity, and technological change created an ever evolving structure.
From playlist Mechanical Engineering
C69 Introduction to power series
A quick look at power series. They can be used as solutions to linear differential equations with variable coefficients.
From playlist Differential Equations
Math 031 Spring 2018 040618 Introduction to Series
Introduction to series: sigma notation. Definition of sequence of partial sums; example. Definition of the convergence of an infinite series (as the convergence of the sequence of partial sums). Standard example: geometric series.
From playlist Course 3: Calculus II (Spring 2018)
Only In America with Larry the Cable Guy - Central Park Gourmet | History
Larry looks for his perfect meal in Central Park at a hot dog stand and by raiding the catering on a movie set. HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that connect viewers with history in an informative,
From playlist Only in America with Larry the Cable Guy | History
Only In America with Larry the Cable Guy - State Fair Fry | History
From the Oregon Trail to the Grand Canyon, from crossing the Delaware to searching for gold in the hills of California, join Larry the Cable Guy as he delivers offbeat America with some down-home fun. HISTORY®, now reaching more than 98 million homes, is the leading destination for award-
From playlist Only in America with Larry the Cable Guy | History
La théorie l’information sans peine - Bourbaphy - 17/11/18
Olivier Rioul (Telecom Paris Tech) / 17.11.2018 La théorie l’information sans peine ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com
From playlist Bourbaphy - 17/11/18 - L'information
Definition and examples of series. In this video, I define the notion of a series using partial sums, and give a couple of examples of series. I also show the fact used in many times in calculus that a series converges if and only if it is bounded, which is used many times in calculus. Enj
From playlist Series
Corinne Blondel - Godement le professeur, Godement l'objecteur
Godement le mathématicien était un enseignant hors pair, transmettant sa passion pour les mathématiques dans toute son exigence sans jamais omettre de rappeler la responsabilité morale du scientifique. Son Cours d'Algèbre est emblématique de cette démarche, ainsi que les volumes d'Analyse
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
C52 Introduction to nonlinear DEs
A first look at nonlinear differential equations. In this first video examples are shown of equations that still have explicit solutions.
From playlist Differential Equations