Orthogonal polynomials | Approximation theory

Discrete Chebyshev polynomials

In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by Pafnuty Chebyshev and rediscovered by Gram. They were later found to be applicable to various algebraic properties of spin angular momentum. (Wikipedia).

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[Discrete Mathematics] Surjective Functions Examples

In these video we look at onto functions and do a counting problem. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIz

From playlist Discrete Math 1

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INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS

We introduce the concept of injective functions, surjective functions, bijective functions, and inverse functions. #DiscreteMath #Mathematics #Functions Support me on Patreon: http://bit.ly/2EUdAl3 Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--P

From playlist Discrete Math 1

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C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

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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

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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

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FUNCTIONS - DISCRETE MATHEMATICS

We introduce functions. How to write them, the terminology, and how to compose them. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discr

From playlist Discrete Math 1

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IIR Filter Design Procedure

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

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Chebfun

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

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12_2_1 Taylor Polynomials of Multivariable Functions

Now we expand the creation of a Taylor Polynomial to multivariable functions.

From playlist Advanced Calculus / Multivariable Calculus

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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

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Optimal sampling in weighted least-squares methods: Application to high-dimensional approximation

Many problems in science and engineering involve an underlying unknown complex process that depends on a large number of parameters. The goal in many applications is to reconstruct, or learn, the unknown process given some direct or indirect observations. Mathematically, such a problem can

From playlist Approximating high dimensional functions

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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

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Advice for Research Maths | Properties of Legendre and Gegenbauer polynomials | Wild Egg Maths

To try to understand how to apply two dimensional maxel magic to the family of Legendre polynomials, let's look at some properties of these polynumbers, including differential equations, connections with Chebyshev polynomials, and how they arise from the geometry of the sphere and an assoc

From playlist Maxel inverses and orthogonal polynomials (non-Members)

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CMPSC/Math 451, Feb 2, 2015. Error Theorem. Introduction to splines. Wen Shen

Error Theorem for polynomial interpolation. Examples. Introduction to splines. Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.

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Fabio Nobile: Polynomial Approximation of Random PDEs by discrete least squares with observations in

Fabio Nobile: Polynomial Approximation of Random PDEs by discrete least squares with observations in random points Abstract: We consider a general problem F(u,y)=0 where u is the unknown solution, possibly Hilbert space valued, and y a set of uncertain parameters. We specifically address

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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Fourier tails for Boolean functions and their applications - Avishay Tal

Computer Science/Discrete Mathematics Seminar II Topic: Fourier tails for Boolean functions and their applications Speaker: Avishay Tal Affiliation: Member, School of Mathematics Date: Tuesday, May 3 The discrete Fourier transform is a widely used tool in the analysis of Boolean funct

From playlist Mathematics

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12/05/2019, Nicolas Brisebarre

Nicolas Brisebarre, École Normale Supérieure de Lyon Title: Correct rounding of transcendental functions: an approach via Euclidean lattices and approximation theory Abstract: On a computer, real numbers are usually represented by a finite set of numbers called floating-point numbers. Wh

From playlist Fall 2019 Symbolic-Numeric Computing Seminar

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[Discrete Mathematics] Inverses Examples 2

We do two more examples with inverses and proving that functions are bijective. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDG

From playlist Discrete Math 1

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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

Related pages

EPR paradox | Bilinear form | Approximation theory | Polynomial | Indexed family | Unit vector | Wigner D-matrix | Continuous function | Discrete orthogonal polynomials | Wigner quasiprobability distribution