Lie groups | Transformation (function)
In mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three-dimensional space. This is conventionally represented by a 3×3 skew-symmetric matrix A. It is not the matrix of an actual rotation in space; but for small real values of a parameter ε the transformation is a small rotation, up to quantities of order ε2. (Wikipedia).
From playlist Transformations of the Number Line
Lie Groups and Lie Algebras: Lesson 19 - Infinitesimal transformation example
Lie Groups and Lie Algebras: Lesson 19 - Infinitesimal transformation example In this lecture we demonstrate how a transformation group generator can transform a function on the geometric space when the transformation is infinitesimal. For this we use Gilmores 2-parameter scale/shift exa
From playlist Lie Groups and Lie Algebras
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of
From playlist Linear Transformations
Lie Groups and Lie Algebras: Lesson 20 - Finite transformation example
Lie Groups and Lie Algebras: Lesson 20 - Finite transformation example A finite transformation is simply a lot of infinitesimal transformations! A Lie group, we have already show is a connected topological space and we know that any finite transformation can be built from a large product
From playlist Lie Groups and Lie Algebras
[Lesson 16] QED Prerequisites Thomas Precession Calculation
In this lecture we calculate and decompose the infinitesimal Lorentz Transformation which contains the Thomas Precession formula. The work in this lesson, and the last, is sourced from Jackson's text "Classical Electrodynamics." Please consider supporting this channel on Patreon: https:/
From playlist QED- Prerequisite Topics
From playlist Transformations of the Number Line
Noether’s Theorem in Classical Dynamics : Continuous Symmetries by N. Mukunda
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
23: Time change of vectors in rotating systems
Jacob Linder: 16.02.2012, Classical mechanics (TFY4345), v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Philippe Nabonnand - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Élie Cartan suit le cours de géométrie de Gaston Darboux Philippe Nabonnand, Archives Henri Poincaré, Université de Lorraine) À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poincaré souhaite
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
[Lesson 15 and 2/3] QED Prerequisites Thomas Precession : The Set Up
In this lesson we set up a model that will allow us to discover the physics behind Thomas Precession. This is a very mysterious phenomenon due entirely to the fact that the world works via Minkowski/Lorentz geometry and not Euclidean/Galliean geometry. Thomas Precession is very subtle and
From playlist QED- Prerequisite Topics
What is General Relativity? Lesson 48: Ricci tensor and conformal transformations
What is General Relativity? Lesson 48: Ricci tensor and conformal transformations We introduce the Ricci tensor, curvature scalar, and begin the difficult derivation of the Weyl tensor. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussin
From playlist What is General Relativity?
2.2.2 What is a linear transformation?
2.2.2 What is a linear transformation?
From playlist LAFF - Week 2
Lecture 9 | Modern Physics: Classical Mechanics (Stanford)
Lecture 9 of Leonard Susskind's Modern Physics course concentrating on Classical Mechanics. Recorded December 20, 2007 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of mo
From playlist Course | Modern Physics: Classical Mechanics
Conformal Field Theory (CFT) | Infinitesimal Conformal Transformations
Conformal field theories are used in many areas of physics, from condensed matter physics, to statistical physics to string theory. They are defined as quantum field theories that are invariant under so-called conformal transformations. In this video, we will investigate these conformal tr
From playlist Particle Physics
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators A Lie group can always be considered as a group of transformations because any group can transform itself! In this lecture we replace the "geometric space" with the Lie group itself to create a new collection of generators. P
From playlist Lie Groups and Lie Algebras
The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier