Orthogonal polynomials | Approximation theory
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).
[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
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
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
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
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
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
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
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
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
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
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
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
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)
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.
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"
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
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
[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
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