In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind Jν(kr). The Bessel functions in the sum are all of the same order ν, but differ in a scaling factor k along the r axis. The necessary coefficient Fν of each Bessel function in the sum, as a function of the scaling factor k constitutes the transformed function. The Hankel transform is an integral transform and was first developed by the mathematician Hermann Hankel. It is also known as the Fourier–Bessel transform. Just as the Fourier transform for an infinite interval is related to the Fourier series over a finite interval, so the Hankel transform over an infinite interval is related to the Fourier–Bessel series over a finite interval. (Wikipedia).
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
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Animated Mandelbrot transform - linear interpolation
http://code.google.com/p/mandelstir/
From playlist mandelstir
Animated Mandelbrot Transform - linear interpolation, applied to an image of the Set itself
http://code.google.com/p/mandelstir/
From playlist mandelstir
Laplace transform: sin(at) and cos(at)
Playlist: https://www.youtube.com/watchv=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp German version: https://youtu.be/ABX0kUx2WuM Update video: https://youtu.be/Hh6mR_vwWuw Let's, once again, kill two birds with one stone! We are taking a look at the laplace transformation of a ti
From playlist Laplace transform
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
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Absolute continuity of limiting spectral distributions of Toeplitz... by Manjunath Krishnapur
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Laplace transform: The Unit Step Function ℒ{1} and ℒ{0}
Playlist: https://www.youtube.com/watch?v=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp German version: https://youtu.be/EygP8LO8YjI Let's dive into a new series' of videos! Welcome to the world of relaxation processes and laplace transforms =) Help me create more and better conten
From playlist Laplace transform
Data-Driven Control: Balanced Proper Orthogonal Decomposition
In this lecture, we introduce the balancing proper orthogonal decomposition (BPOD) to approximate balanced truncation for high-dimensional systems. https://www.eigensteve.com/
From playlist Data-Driven Control with Machine Learning
This object is transformable hyperboloid,you can transform from cylinder to various hyperboloids.See video. Buy at http://www.shapeways.com/shops/GeometricToy Copyright (c) 2014,AkiraNishihara
From playlist 3D printed toys
Peter Benner: Matrix Equations and Model Reduction, Lecture 4
Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction; Lecture 4
From playlist Gene Golub SIAM Summer School Videos
Necmiye Ozay: "A fresh look at some classical system identification methods"
Intersections between Control, Learning and Optimization 2020 "A fresh look at some classical system identification methods" Necmiye Ozay - University of Michigan Abstract: System identification has a long history with several well-established methods, in particular for learning linear d
From playlist Intersections between Control, Learning and Optimization 2020
3D Printing Materials With Subsurface Scattering | Two Minute Papers #98
Better Explained tutorials: https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/ https://betterexplained.com/cheatsheet/ Today, our main question is whether we can reproduce the effect of subsurface scattering with 3D printed materials. The input would be a
From playlist 3D Printing / 3D Fabrication
Data-Driven Control: Error Bounds for Balanced Truncation
In this lecture, we derive error bounds for the balanced truncation. https://www.eigensteve.com/
From playlist Data-Driven Control with Machine Learning
Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
Geometry of arc spaces and the Hankel transform II - Châu
Beyond Endoscopy Topic: Geometry of arc spaces and the Hankel transform Speaker: Ngô Bảo Châu, University of Chicago Time/Room: 9:45am - 10:35am/S-101 Date: Oct 01, 2016 More videos on http://video.ias.edu
From playlist Mathematics
What Do We Know About Matrix Estimation? (Lecture 3) by Devavrat Shah
PROGRAM : ADVANCES IN APPLIED PROBABILITY ORGANIZERS : Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah and Piyush Srivastava DATE & TIME : 05 August 2019 to 17 August 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in r
From playlist Advances in Applied Probability 2019
Patrick Gerard: Singular value dynamics and nonlinear Fourier transform for Hankel operators on the
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 14.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Laplace transform: A unit of time t
Playlist: https://www.youtube.com/watchv=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp German version: https://youtu.be/dm-3-DMYP0E Why just Re(s)?: https://youtu.be/6bpAO4azQl4 Close to being done with the laplace transform basics. Hope you'll be excited for what's to come! =) Hel
From playlist Laplace transform
Hankel Alternative View of Koopman (HAVOK) Analysis [SHORT]
This video illustrates a new algorithm to decompose chaos into a linear system with intermittent forcing. This is based on the Hankel Alternative View of Koopman (HAVOK) analysis that builds linear regression models on eigen-time-delay coordinates. Chaos as an Intermittently Forced Line
From playlist Research Abstracts from Brunton Lab
Laplace transform: Damped sine and cosine wave
Playlist: https://www.youtube.com/watchv=5RCijylGyK4&list=PLN2B6ZNu6xmfaT2IBigUylhfpFFA1L8Mp German version: https://youtu.be/5PFchQ5oZ2c Let us talk about the laplace transformations of e^-bt*cos(at) and e^-bt*sin(at). Just like before we are going to kill two birds with one stone! =) H
From playlist Laplace transform