The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier
The Discrete Fourier Transform
This video provides a basic introduction to the very widely used and important discrete Fourier transform (DFT). The DFT describes discrete-time signals as a weighted sum of complex sinusoid building blocks and is used in applications such as GPS, MP3, JPEG, and WiFi.
From playlist Fourier
Discrete Fourier Transform - Example
We do a very simple example of a Discrete Fourier Transform by hand, just to get a feel for it. We quickly realize that using a computer for this is a good idea...
From playlist Mathematical Physics II Uploads
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
Introduction to additive combinatorics lecture 7.3 -- dual groups and the discrete Fourier transform
The discrete Fourier transform is a fundamental tool in additive combinatorics that makes it possible to prove many interesting results that would be very hard or even impossible to prove otherwise. Here I discuss the characters on a finite Abelian group G, prove that they are orthogonal a
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Discrete Fourier Transform - Introduction
An introduction to the Discrete Fourier Transform (DFT) and its interpretation.
From playlist Mathematical Physics II Uploads
What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.
From playlist Mathematical Physics II Uploads
Differential Equations | Inverse Laplace Transformations Example 3
We find the inverse Laplace transform of a rational function using partial fractions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
The Schrodinger equations as inspiration of beautiful mathematics - Gigliola Staffilani
Analysis Seminar Topic: The Schrodinger equations as inspiration of beautiful mathematics Speaker: Gigliola Staffilani Affiliation: Massachusetts Institute of Technology Date: May 24, 2021 In the last two decades great progress has been made in the study of dispersive and wave equations.
From playlist Mathematics
AMMI 2022 Course "Geometric Deep Learning" - Lecture 6 (Graphs & Sets II) - Petar Veličković
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 6: General attributed graphs • Graph networks • DeepSet
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
Bruno Martin: Some interactions between number theory and multifractal analysis
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 24, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Gigliola STAFFILANI - Recent developments on certain dispersive equations...
Gigliola STAFFILANI - Recent developments on certain dispersive equations as infinite dimensional Hamiltonian systems
From playlist Trimestre "Ondes Non linéaires" - Summer school
Terence Tao: The circle method from the perspective of higher order Fourier analysis
Higher order Fourier analysis is a collection of results and methods that can be used to control multilinear averages (such as counts for the number of four-term progressions in a set) that are out of reach of conventional linear Fourier analysis methods (i.e., out of reach of the circle m
From playlist Harmonic Analysis and Analytic Number Theory
The Discrete Fourier Transform: Sampling the DTFT
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files.
From playlist Fourier
Anomalous low-frequency conductivity in quantum spin chains by Romain Vasseur
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Anton Zorich - Lyapunov exponents of the Hodge bundle...
Anton ZORICH (Univ. Paris-Diderot, France) Lyapunov exponents of the Hodge bundle, volumes of moduli spaces, and diffusion in periodic billiards
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
The Presend State of the Jacquet-Rallis trace formula - Pierre-Henri Chaudouard
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: The Presend State of the Jacquet-Rallis trace formula Speaker: Pierre-Henri Chaudouard Affiliation: IMJ PRG Date: March 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
60 years of dynamics and number expansions - 10 December 2018
http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Stanford Seminar - Lenia: Biology of Artificial Life, Bert Wang-Chak Chan
Bert Wang-Chak Chan January 15, 2020 In the field of Artificial Life, we use biochemistry, engineering and computer simulation to answer "what is life" and "what life could be". Starting from Conway's Game of Life, a famous discrete cell simulation, we tried to make everything smooth and
From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series
Fourier Series (for PDEs) w/ Fourier Polynomials (Orthogonal Projections in Inner Product Spaces)
Fourier Series (for Partial Differential Equations) are Constructed with Fourier Polynomials, which are Orthogonal Projections in Inner Product Spaces (in this case, the Function Space of Real-Valued Continuous Functions C[-pi,pi] with the inner product of f and g defined to be the integra
From playlist Fourier