Differential calculus | Approximations | Dynamical systems
In mathematics, linearization is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as engineering, physics, economics, and ecology. (Wikipedia).
Linearising nonlinear derivatives
A simple trick to linearise derivatives
From playlist Linearisation
Trimming and Linearization, Part 1: What Is Linearization?
Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it’s because we know how to solve linear systems. With a linear model we can more easily design a controller, assess stability, and understand the system dynamics. - Learn about linearization for model analys
From playlist Trimming and Linearization
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
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
👉 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
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
What is the parent function of a linear graph
👉 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
What does it mean to be a "Linear" Differential Equation?
This video explores what it means for a differential equation to be linear. Specifically we discuss the importance of linear superposition and give examples of linear and nonlinear operators and differential equations. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3
From playlist Engineering Math: Differential Equations and Dynamical Systems
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
Linear Algebra and Differential Equations - Who cares about Wronskians anyway?
Many of us have, or presently are, taking, or have taken a course in either linear algebra or ordinary differential equations. The primary focus is typically on how to solve them, and this is not the difficult part for many students. But sooner or later, there is one topic that, although o
From playlist Linear Algebra
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Trimming and Linearization, Part 2: The Practical Side of Linearization
With a general understanding of linearization, you might run into a few snags when trying to linearize realistic nonlinear models. These snags can be avoided if you have a more practical understanding of how linearization is accomplished, and that’s what we’ll cover in this video. - Learn
From playlist Trimming and Linearization
Numerical Homogenization Approaches for Nonlinear Problems by Barbara Verfürth
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
what is linear and non linear in machine learning, deep learning
what is linear and non linear in machine learning and deep learning? you will have clear understanding after watching this video. all machine learning youtube videos from me, https://www.youtube.com/playlist?list=PLVNY1HnUlO26x597OgAN8TCgGTiE-38D6
From playlist Machine Learning
Lecture 23 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on linear systems, focusing on linear time and variance systems. The Fourier transform is a tool for solving physical problems. In thi
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Introducing Model Theory with Ehrenfeucht-Fraïssé Games on Linear Orderings #SOME2
Play along at home: https://trkern.itch.io/rosenstein Version with just finite linear orderings (and AI opponent): https://trkern.itch.io/efglo Watch a similar video on the model theory of graphs: https://www.youtube.com/watch?v=1lFjNDhAStk Play EF-Games on graphs: https://trkern.github.i
From playlist Summer of Math Exposition 2 videos
Linear Algebra for Computer Scientists. 7. Linear Combinations of Vectors
This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about linear combinations of vectors, that is, you will learn how to create new vectors by scaling then adding other vectors together. You will also learn that some sets
From playlist Linear Algebra for Computer Scientists
31 - More on spans and linear independence
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M