Integral transforms

Hermite transform

In mathematics, Hermite transform is an integral transform named after the mathematician Charles Hermite, which uses Hermite polynomials as kernels of the transform. This was first introduced by Lokenath Debnath in 1964. The Hermite transform of a function is The inverse Hermite transform is given by (Wikipedia).

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Hermite differential equation

Series solution of the Hermite differential equation. Shows how to construct the Hermite polynomials. Join me on Coursera: Differential equations for engineers https://www.coursera.org/learn/differential-equations-engineers Matrix algebra for engineers https://www.coursera.org/learn/matr

From playlist Differential Equations with YouTube Examples

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Frédéric Chyzak

Generalized Hermite Reduction, Creative Telescoping, and Definite Integration of D-Finite Functions Hermite reduction is a classical algorithmic tool in symbolic integration. It is used to decompose a given rational function as a sum of a function with simple poles and the derivative of a

From playlist DART X

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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

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Hermitian Operators (Self-Adjoint Operators) | Quantum Mechanics

In this video, we will talk about Hermitian operators in quantum mechanics. If an operator A is a Hermitian operator, then it is the same as its adjoint operator A-dagger, which is defined via this equation here. Usually, the terms "Hermitian" and "self adjoint" are used interchangeably, h

From playlist Quantum Mechanics, Quantum Field Theory

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Animated Mandelbrot transform - linear interpolation

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (56 of 92) What is a Hermite Polynomial?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a Hermite polynomial. Previous videos showed the solution best describe the quantum oscillator of the Schrodinger equation is the product of a constant that needed to be normalized, mu

From playlist THE "WHAT IS" PLAYLIST

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10c Machine Learning: Polynomial Regression

Lecture on polynomial regression, including an intuitive alternative interpretation, basis expansion concepts and orthogonal basis through Hermite polynomials. Follow along with the demonstration workflow: https://github.com/GeostatsGuy/PythonNumericalDemos/blob/master/SubsurfaceDataAnaly

From playlist Machine Learning

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C80 Solving a linear DE with Laplace transformations

Showing how to solve a linear differential equation by way of the Laplace and inverse Laplace transforms. The Laplace transform changes a linear differential equation into an algebraical equation that can be solved with ease. It remains to do the inverse Laplace transform to calculate th

From playlist Differential Equations

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Modulation Spaces and Applications to Hartree-Fock Equations by Divyang Bhimani

We discuss some ongoing interest (since last decade) in use of modulation spaces in harmonic analysis and its connection to nonlinear dispersive equations. In particular, we shall discuss results on Hermite multiplier and composition operators on modulation spaces. As an application to the

From playlist ICTS Colloquia

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"Transcendental Number Theory: Recent Results and Open Problem​s" by Prof. Michel Waldschmidt​

This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.

From playlist Number Theory Research Unit at CAMS - AUB

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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

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Deconfinement to Confinement as PT Phase Transition by Bhabani Mandal

PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a

From playlist Non-Hermitian Physics (ONLINE)

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Phong NGUYEN - Recent progress on lattices's computations 2

This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by computers. We will present the main hard computational problems on lattices: SVP, CVP and

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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PT phase transition in non-abelian system by Haresh Raval

Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys

From playlist Non-Hermitian Physics - PHHQP XVIII

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Time-dependent quasi-hermiticity: Revisited by Mustapha Maamache

DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics. The scope of the program on Non-H

From playlist Non-Hermitian Physics - PHHQP XVIII

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Jeannette Woerner: Limit theorems for Bessel and Dunkl processes of large dimensions

HYBRID EVENT Recorded during the meeting "Modern Analysis Related to Root Systems with Applications" the October 19, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathe

From playlist Virtual Conference

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Sarah Post: Rational extensions of superintegrable systems, exceptional polynomials & Painleve eq.s

Abstract: In this talk, I will discuss recent work with Ian Marquette and Lisa Ritter on superintegable extensions of a Smorodinsky Winternitz potential associated with exception orthogonal polynomials (EOPs). EOPs are families of orthogonal polynomials that generalize the classical ones b

From playlist Integrable Systems 9th Workshop

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Integral row reduction + Hermite normal form|Abstract Algebra Math Foundations 223 | NJ Wildberger

We have a careful look at getting a good basis of an integral linear space through a specific algorithm which is essentially that of Hermite normal form. Usually in linear algebra courses this is framed in terms of matrices, but here we are taking more of an mset point of view, but the ide

From playlist Math Foundations

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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

Related pages

Charles Hermite | Hermite polynomials | Integral transform