Polynomials

Linearised polynomial

In mathematics, a linearised polynomial (or q-polynomial) is a polynomial for which the exponents of all the constituent monomials are powers of q and the coefficients come from some extension field of the finite field of order q. We write a typical example as where each is in for some fixed positive integer . This special class of polynomials is important from both a theoretical and an applications viewpoint. The highly structured nature of their roots makes these roots easy to determine. (Wikipedia).

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Anja Fischer: Polynomial Matroid Optimisation Problems

n this talk we consider polynomial matroid optimisation problems with some non-linear monomials in the objective function. The monomials are linearised and we study the corresponding polytopes. Extending results of Edmonds we present complete descriptions for the linearised polytopes for t

From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"

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What is a linear equation

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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How to determine if an equation is a linear relation

👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c

From playlist Write Linear Equations

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When do you know if a relations is in linear standard form

👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c

From playlist Write Linear Equations

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What is the slope of a linear equation

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Linearising nonlinear derivatives

A simple trick to linearise derivatives

From playlist Linearisation

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How do you graph an equation using slope intercept form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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What are the x and y intercepts of a linear equation

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Shortcut linearisation

We don't always have to go through all the steps of substituting deviation variables and linearisation - most of the time we can jump to the end.

From playlist Linearisation

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M4ML - Multivariate Calculus - 4.7 Linearisation

Welcome to the “Mathematics for Machine Learning: Multivariate Calculus” course, offered by Imperial College London. This video is part of an online specialisation in Mathematics for Machine Learning (m4ml) hosted by Coursera. For more information on the course and to access the full ex

From playlist Mathematics for Machine Learning - Multivariate Calculus

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Xavier Caruso: Ore polynomials and application to coding theory

In the 1930’s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de

From playlist Algebraic and Complex Geometry

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Karl Kunisch: "Solution Concepts for Optimal Feedback Control of Nonlinear PDEs"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Solution Concepts for Optimal Feedback Control of Nonlinear Partial Differential Equations" Karl Kunisch, Universität Graz Abstract: Feedback control of nonl

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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How do you graph an equation using the intercept method

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Alternate solution to generalised Bernoulli equations via an integrating factor: An Exact Approach

New mathematical / pedagogical research http://dx.doi.org/10.1080/0020739X.2016.1272143 Enjoy!! Solution methods to exact differential equations via integrating factors have a rich history dating back to Euler (1740) and the ideas enjoy applications to thermodynamics and electromagnetism.

From playlist Differential equations

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Lecture 13: Spanner

Lecture 13: Spanner MIT 6.824: Distributed Systems (Spring 2020) https://pdos.csail.mit.edu/6.824/

From playlist MIT 6.824 Distributed Systems (Spring 2020)

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Overview of Linear equations - Free Math Videos - Online Tutor

👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c

From playlist Write Linear Equations

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What is everything you need to know to graph an equation in slope intercept form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Time quasi-periodic gravity water waves in finite depth - Massimiliano Berti

http://www.math.ias.edu/seminars/abstract?event=132449 More videos on http://video.ias.edu

From playlist Mathematics

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How do I graph a line using slope intercept form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Linear map | Polynomial | Distributive property | Linear subspace | If and only if | Vector space | Mathematics | Finite field | Commutative property | Field (mathematics) | Coefficient | Function composition | Integer | Operation (mathematics) | Root of a function | Monomial | Set (mathematics) | Degree of a polynomial