In mathematics, a polynomial transformation consists of computing the polynomial whose roots are a given function of the roots of a polynomial. Polynomial transformations such as Tschirnhaus transformations are often used to simplify the solution of algebraic equations. (Wikipedia).
From playlist Transformations of the Number Line
Sketch a Linear Transformation of a Unit Square Given the Transformation Matrix (Shear)
This video explains 2 ways to graph a linear transformation of a unit square on the coordinate plane.
From playlist Matrix (Linear) Transformations
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
Linear Transformations and Linear Systems
In this video we discuss linear transformations. We start by examining the mathematical definition of a linear transformation and apply it to several examples including matrix multiplication and differentiation. We then see how linear transformations relate to linear systems (AKA linear
From playlist Linear Algebra
ME565 Lecture 22: Laplace Transform and ODEs
ME565 Lecture 22 Engineering Mathematics at the University of Washington Laplace Transform and ODEs Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L22.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)
Laplace Transforms and Differential Equations
This video describes how to use the Laplace transform to simplify differential equations. @eigensteve on Twitter Brunton Website: eigensteve.com Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf
From playlist Data-Driven Science and Engineering
KERNEL and RANGE of a LINEAR TRANSFORMATION - LINEAR ALGEBRA
We discuss the kernal and range of a linear transformation. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc Submit your questions on Reddit: http://bit.ly/1GwZZrP #Li
From playlist Linear Algebra
Linear Algebra II - Eigenvectors & eigenvalues: Oxford Maths 1st Year Student Lecture, James Maynard
In this lecture from James Maynard from his 1st Year Linear Algebra II course we introduce the idea of 'eigenvectors', which are vectors that are stretched by a linear transformation. Looking at eigenvectors gives a very useful perspective for understanding linear maps. You can access the
From playlist Oxford Mathematics 1st Year Student Lectures
Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely
From playlist Jean-Morlet Chair - Grava/Bufetov
Lec 5 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 5: The z-transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Title: Algorithms for Finding Rational Solutions of Linear Differential and Difference Equations and Their Complexity
From playlist Spring 2014
Limit Formulas for Polynomial Ergodic Averages with Commuting Transformations - Nikos Frantzikinakis
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Limit Formulas for Polynomial Ergodic Averages with Commuting Transformations Speaker: Nikos Frantzikinakis Affiliation: Member, School of Mathematics Date: March 03, 2023 The works of Furstenberg and Bergels
From playlist Mathematics
Linear Algebra 19j: Matrix Representation of a Linear Transformation - Polynomials
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
Showing something is a linear transformation Check out my Linear Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
From playlist Linear Transformations
Z Transform, a tool for solving difference equations
Difference equations, which are equations about sequences, can be solved easier with Z-Transform. Made by: Ali Hadizadeh Moghadam Background music: https://www.youtube.com/watch?v=neV3EPgvZ3g The original comic used in the intro made by: Hannah Hillam Keywords: Z-Transform, Difference Equ
From playlist Summer of Math Exposition Youtube Videos