Special functions | Directional statistics | Generalized functions | Signal processing
In mathematics, a Dirac comb (also known as shah function, impulse train or sampling function) is a periodic function with the formula for some given period . Here t is a real variable and the sum extends over all integers k. The Dirac delta function and the Dirac comb are tempered distributions. The graph of the function resembles a comb (with the s as the comb's teeth), hence its name and the use of the comb-like Cyrillic letter sha (Ш) to denote the function. The symbol , where the period is omitted, represents a Dirac comb of unit period. This implies Because the Dirac comb function is periodic, it can be represented as a Fourier series based on the Dirichlet kernel: The Dirac comb function allows one to represent both continuous and discrete phenomena, such as sampling and aliasing, in a single framework of continuous Fourier analysis on tempered distributions, without any reference to Fourier series. The Fourier transform of a Dirac comb is another Dirac comb. Owing to the Convolution Theorem on tempered distributions which turns out to be the Poisson summation formula, in signal processing, the Dirac comb allows modelling sampling by multiplication with it, but it also allows modelling periodization by convolution with it. (Wikipedia).
stereolab - puncture in the radax permutation
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From playlist the absolute best of stereolab
From playlist the absolute best of stereolab
Interpolations and Mappings with Applications in Image Processing
In this talk, Markus van Almsick reviews the most popular and most advanced interpolation methods and discusses their merits and shortcomings. The Wolfram Language provides many interpolation methods to construct continuous functions from discrete data points. Furthermore, interpolations a
From playlist Wolfram Technology Conference 2020
Maryna Viazovska (EPFL): Fourier interpolation
This lecture is about Fourier uniqueness and Fourier interpolation pairs. Suppose that we have two subsets X and Y of the Euclidean space. Can we reconstruct a function f from its restriction to the set X and the restriction of its Fourier transform to the set Y? We are interested in the p
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
The Hypoelliptic Laplacian: An Introduction - Jean-Michel Bismut
Jean-Michel Bismut Universite de Paris-Sud March 26, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Sir Michael Atiyah - From Algebraic Geometry to Physics - a Personal Perspective [2010]
Slides for this talk: https://drive.google.com/open?id=1JAtO2i5e-G3d4DuQ0OHuu_gkUCjLY7Rc Name: Michael Atiyah Event: Simons Center Building Inauguration Conference Title: From Algebraic Geometry to Physics - a Personal Perspective Date: 2010-11-10 @9:00 AM http://scgp.stonybrook.edu/vid
From playlist Mathematics
Index Theory and Flexibility in Positive Scalar Curve Geometry -Bernhard Hanke
Emerging Topics Working Group Topic: Index Theory and Flexibility in Positive Scalar Curve Geometry Speaker: Bernhard Hanke Affilaion: Augsburg University Date: October 18, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Topological magnon Dirac points in a 3D antiferromagnet by Yuan Li
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Jules Hedges - compositional game theory - part IV
Compositional game theory is an approach to game theory that is designed to have better mathematical (loosely “algebraic” and “geometric”) properties, while also being intended as a practical setting for microeconomic modelling. It gives a graphical representation of games in which the flo
From playlist compositional game theory
16/11/2015 - Roger Penrose - Palatial Twistor Theory: a Quantum Approach to Classical Space-Time
https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-rogerpenrose.pdf Abstract. Up until recently, the applications of twistor theory to general relativity have been rather limited, applicable mainly to special solutions of the Einstein equations and to complex solutions which are
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Ziyan Zhu: "Modeling mechanical relaxation and electronic states of incommensurate trilayer..."
Theory and Computation for 2D Materials "Modeling mechanical relaxation and electronic states of incommensurate trilayer van der Waals heterostructures" Ziyan Zhu, Harvard University Abstract: Incommensurate stacking provides an intriguing avenue for manipulating the physical properties
From playlist Theory and Computation for 2D Materials 2020
This is an infinite zoom on the famous Sierpinski triangle fractal. If you want to see six different constructions of this fractal, check out this long form video I made : https://youtu.be/IZHiBJGcrqI . #math #manim #fractal #sierpinski #zoom #infinite #shorts #mathshorts
From playlist Fractals
Michael Atiyah, Seminars Geometry and Topology 1/2 [2009]
Seminars on The Geometry and Topology of the Freudenthal Magic Square Date: 9/10/2009 Video taken from: http://video.ust.hk/Watch.aspx?Video=98D80943627E7107
From playlist Mathematics