Recurrence relations | Algebra | Dynamical systems

Rational difference equation

A rational difference equation is a nonlinear difference equation of the form where the initial conditions are such that the denominator never vanishes for any n. (Wikipedia).

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Divide two rational expressions by simplifying

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Dividing rational expressions

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Solving two step equations with a rational expression on one side

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Solving a two step equation with a rational expressions

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Dividing two rational expressions by factoring

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

Video thumbnail

Dividing rational expressions

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Dividing two rational expression with a lot of factoring by multiplying

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Solving a two step equation rational equation

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

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Thieu Vo, Ton Duc Thang University

April 2, Thieu Vo, Ton Duc Thang University Rational solutions of first-order algebraic difference equations

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Dividing rational expressions

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Johann Mitteramskogler, Johannes Kepler University

March 15, Johann Mitteramskogler, Johannes Kepler University On the construction of simple general solutions of first-order algebraic ODEs

From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

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Lucia Di Vizio : Méthodes galoisiennes appliquées aux équations fonctionnelles issues de la...

CONFERENCE Recording during the thematic meeting : « ALEA Days» the March 16, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathemat

From playlist Combinatorics

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Guy Casale, University of Rennes

March 26, Guy Casale, University of Rennes Algebraic solutions to Kummer differential equation

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Moulay Barkatou 7/8/14 Part 1

Title: Algorithms for Finding Rational Solutions of Linear Differential and Difference Equations and Their Complexity

From playlist Spring 2014

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What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Introduction to Diophantine equations

This is an introductory talk on Diophantine equations given to the mathematics undergraduate student association of Berkeley (https://musa.berkeley.edu/) We look at some examples of Diophantine equations, such at the Pythagoras equation, Fermat's equation, and a cubic surface. The main th

From playlist Math talks

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SINDy-PI: A robust algorithm for parallel implicit sparse identification of nonlinear dynamics

In this video, Kadierdan Kaheman describes SINDy-PI: A robust algorithm for parallel implicit sparse identification of nonlinear dynamics. The SINDy-PI overcomes the difficulties of using SINDy to identify the rational system or implicit dynamics and made it possible to directly extract th

From playlist Research Abstracts from Brunton Lab

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Elliptic Curves - Lecture 1 - Introduction to diophantine equations

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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How to use the LCD to help us solve a rational equation

👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for

From playlist How to Solve Rational Equations

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A Family of Rationally Extended Real and PT Symmetric Complex Potentials by Rajesh Kumar Yadav

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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