In applied mathematics, the discrete Chebyshev transform (DCT), named after Pafnuty Chebyshev, is either of two main varieties of DCTs: the discrete Chebyshev transform on the 'roots' grid of the Chebyshev polynomials of the first kind and the discrete Chebyshev transform on the 'extrema' grid of the Chebyshev polynomials of the first kind. (Wikipedia).
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
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
Fourier Transforms: Discrete Fourier Transform, Part 3
Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 3 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Fourier
Introduction to the z-Transform
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces the definition of the z-transform, the complex plane, and the relationship between the z-transform and the discrete-time Fourier transfor
From playlist The z-Transform
Discrete Fourier Transform - Introduction
An introduction to the Discrete Fourier Transform (DFT) and its interpretation.
From playlist Mathematical Physics II Uploads
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
Fourier Transforms: Fast Fourier Transform, Part 1
Data Science for Biologists Fourier Transforms: Fast Fourier Transform Part 1 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Fourier
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. IIR filter design examples using MATLAB.
From playlist Infinite Impulse Response Filter Design
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Overview of IIR filter design using analog prototype filters following the approach used by MATLAB: use of continuous-time frequency transformations
From playlist Infinite Impulse Response Filter Design
The computational theory of Riemann–Hilbert problems (Lecture 4) by Thomas Trogdon
Program : Integrable Systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan Lecture Hall, ICT
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Fourier Transforms: Discrete Fourier Transform, Part 2
Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 2 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Fourier
Continuous-Time Chebyshev and Elliptic Filters
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. An introduction to the characteristics and definition of analog Chebyshev types I and II and elliptic filters.
From playlist Infinite Impulse Response Filter Design
Chebfun is a Matlab-based open-source software project for "numerical computing with functions" based on algorithms related to Chebyshev polynomials. At the 2013 SIAM Annual Meeting, SIAM Past President Nick Trefethen spoke about his activities related to developing Chebfun.
From playlist Complete lectures and talks: slides and audio
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
Daniel Kuhn: "Wasserstein Distributionally Robust Optimization: Theory and Applications in Machi..."
Intersections between Control, Learning and Optimization 2020 "Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning" Daniel Kuhn - École Polytechnique Fédérale de Lausanne (EPFL) Abstract: Many decision problems in science, engineering and economi
From playlist Intersections between Control, Learning and Optimization 2020
Radek Adamczak: Functional inequalities and concentration of measure I
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 View the complete course: http://ocw.mit.edu/6-041F10 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
The Green - Tao Theorem (Lecture 6) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
The Discrete Fourier Transform: Most Important Algorithm Ever?
Go to https://nordvpn.com/reducible to get the two year plan with an exclusive deal PLUS 1 bonus month free! It’s risk free with NordVPN’s 30 day money back guarantee! The Discrete Fourier Transform (DFT) is one of the most essential algorithms that power modern society. In this video, we
From playlist Fourier
Martin Gander: On the invention of iterative methods for linear systems
HYBRID EVENT Recorded during the meeting "1Numerical Methods and Scientific Computing" the November 9, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Numerical Analysis and Scientific Computing