In this video I write down the axioms of Lie algebras and then discuss the defining anti-symmetric bilinear map (the Lie bracket) which is zero on the diagonal and fulfills the Jacobi identity. I'm following the compact book "Introduction to Lie Algebras" by Erdmann and Wildon. https://gi
From playlist Algebra
Theory of numbers: Jacobi symbol
This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t
From playlist Theory of numbers
Introduction to number theory lecture 35 Jacobi symbol
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define the Jacobi symbol and prove its basic properties, and show how to calculate it fa
From playlist Introduction to number theory (Berkeley Math 115)
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function
In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL
From playlist Etale Theta
Example discussing the Chain Rule for the Jacobian matrix. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Wheatstone Bridge: A (Not So) Honorable History
Charles Wheatstone introduced "his" bridge in 1843 but it was first invented in 1833 by Samuel Christie. This is the story of *why* these men invented this device and the convoluted tale of how it got its name. Links: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreo
From playlist "The Lightning Tamers": A History of Electricity
Lecture: Eigen-decompositions and Iterations
We develop a theoretical approach to understanding how eigen-decompositions of matrices can be used in iterative schemes for Ax=b.
From playlist Beginning Scientific Computing
Somil Bansal: "Scaling Hamilton-Jacobi Reachability Analysis for Robotics"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Scaling Hamilton-Jacobi Reachability Analysis for Robotics: Multi-agent Systems to Real-time Computation" Somil Bansal - University of California, Berkeley A
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
CMPSC/Math 451. March 20, 2015. Gauss-Seidel, SOR. Wen Shen
Wen Shen, Penn State University Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.
Claire Tomlin: "Hamilton-Jacobi Methods in Robotics"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Hamilton-Jacobi Methods in Robotics" Claire Tomlin - University of California, Berkeley Institute for Pure and Applied Mathematics, UCLA March 30, 2020 For
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Victorita Dolean: An introduction to domain decomposition methods - lecture1
HYBRID EVENT Recorded during the meeting "Domain Decomposition for Optimal Control Problems" the September 05, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Jean-Morlet Chair - Gander/Hubert
What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go
From playlist Set Theory
Jérôme Darbon: "Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differen..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures" Jérôme Darbon, Brown Universi
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Yat Tin Chow: "A numerical method of solving high dimensional Hamilton-Jacobi equations with gen..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "A numerical method of solving high dimensional Hamilton-Jacobi equations with generalized Hopf-Lax formula" Yat Tin Chow - University of California, Riverside
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory