Riemannian geometry | Connection (mathematics)
In Riemannian or pseudo Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves the (pseudo-)Riemannian metric and is torsion-free. The fundamental theorem of Riemannian geometry states that there is a unique connection which satisfies these properties. In the theory of Riemannian and pseudo-Riemannian manifolds the term covariant derivative is often used for the Levi-Civita connection. The components (structure coefficients) of this connection with respect to a system of local coordinates are called Christoffel symbols. (Wikipedia).
This levitron manufactured by my friend İzzet Özgöçmen. We enjoyed playing with it.
From playlist Izzet Özgöçmen
Since we just learn the pronoun ne, let's learn another one: ci. This has a lot of uses, as ci locativo, ci argomentale, and more. Let's learn how to use it! Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and Purchase College. Watch the whole Ital
From playlist Italian
An Oxford Mathematics Graduate Supervision - Geometry and Physics in 7 Dimensions
So how do supervisor & graduate student work together? What happens in a graduate supervision? To find out, we filmed a supervision. Introducing Professor Jason Lotay & graduate student Izar Alonso Lorenzo as they discuss geometry in seven dimensions related to special holonomy, gauge the
From playlist Oxford Mathematics Student Tutorials and Graduate Supervisions
AWESOME antigravity electromagnetic levitator (explaining simply)
Physics levitron (science experiments)
From playlist ELECTROMAGNETISM
Levi-Civita and Kronecker: A Remarkable Relationship | Deep Dive Maths
There is a remarkable relationship between the product of two Levi-Civita symbols and the determinant of a matrix with the Kronecker delta as elements. After defining the Levi-Civita symbol and the Kronecker delta, I show how to derive this relationship using permutation matrices and the
From playlist Deep Dive Maths
Kronecker delta and Levi-Civita symbol | Lecture 7 | Vector Calculus for Engineers
Definition of the Kronecker delta and the Levi-Civita symbol (sometimes called the permutation symbol or Levi-Civita tensor). The relationship between the Kronecker delta and the Levi-Civita symbol is discussed. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engin
From playlist Vector Calculus for Engineers
Vector Triple Product | Lecture 10 | Vector Calculus for Engineers
The vector triple product identity is proved using the Levi-Civita symbol and the Einstein summation convention. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to
From playlist Vector Calculus for Engineers
Divergence of the cross product of two vectors (proof) | Lecture 22 | Vector Calculus for Engineers
An example of how to prove a vector calculus identity using the Levi-Civita symbol and the Kronecker delta. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my ch
From playlist Vector Calculus for Engineers
Stardust Discovery, and 2 Planetary Conjunctions
SciShow Space shares the latest developments from around the universe, including news about the first material ever collected from outside the solar system, and a backyard astronomers’ guide to two upcoming planetary conjunctions. Hosted by: Reid Reimers ---------- Like SciShow? Want to h
From playlist SciShow Space
04: D´Alembert´s principle part 2
Jacob Linder: Lecture 2, 11.01.2012, Klassisk Mekanikk (TFY 4345) 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
Levitation magnet on a stirrer (Foucault currents)!!!
In this video i demonstrate levitation magnet on aluminum plate with stirrer. Enjoy!
From playlist ELECTROMAGNETISM
Lagrange Bicentenary - Cédric Villani's conference
From the stability of the Solar system to the stability of plasmas
From playlist Bicentenaire Joseph-Louis Lagrange
Vector Identities | Lecture 8 | Vector Calculus for Engineers
Four vector identities are presented: (1) Scalar triple product; (2) Vector triple product; (3) Scalar quadruple product; (4) Vector quadruple product. The tools required to prove them are discussed. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture n
From playlist Vector Calculus for Engineers
Solving the Mysteries of Saturn
This week on SciShow Space News, Cassini visited Saturn’s moon Dione for the last time, and two little shepherd moons may have helped form some of Saturn’s rings. ---------- Dooblydoo thanks go to the following Patreon supporters -- we couldn't make SciShow without them! Shout out to Justi
From playlist Space News - SciShow Space
A basic introduction to Lagrange Interpolation. Chapters 0:00 Introduction 01:07 Lagrange Polynomials 03:58 The Lagrange Interpolation formula 05:10 The Resulting Polynomials The product links below are Amazon affiliate links. If you buy certain products on Amazon soon after clicking th
From playlist Interpolation
Tensor Calculus Lecture 7c: The Levi-Civita Tensors
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
49: April Hamilton Jacobi theory - Part 1
Jacob Linder: 12.04.2012, 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
Can you prove the Why equation? Part 2
This amazingly simple equation can be proved in just two short lines. Watch the video to learn how.
From playlist Summer of Math Exposition Youtube Videos
AWESOME Antigravity experiment! Levitron!
I show an interesting commercially available toy that is the highest magnetic levitation device we've seen so far.
From playlist MAGNETISM