Triple product rule | Lecture 15 | Vector Calculus for Engineers
Derivation of the reciprocity relation and the triple product rule. The reciprocity relation is sometimes called the reciprocal theorem, and the triple product rule is sometimes called the reciprocity theorem. The triple product rule is also sometimes called the cyclic chain rule, cyclic
From playlist Vector Calculus for Engineers
Region between x^2+y^2 and 2x+y+1
From playlist Triple integrals
Complete Derivation: Universal Property of the Tensor Product
Previous tensor product video: https://youtu.be/KnSZBjnd_74 The universal property of the tensor product is one of the most important tools for handling tensor products. It gives us a way to define functions on the tensor product using bilinear maps. However, the statement of the universa
From playlist Tensor Products
What does a triple integral represent?
► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Skip to section: 0:15 // Recap of what the double integral represents 1:22 // The triple integral has two uses (volume and mass) 1:45 // How to use the triple integral to find volume 8:59 // Why the
From playlist Calculus III
Proof of the Dot Product Theorem
Dot products are essential in a mathematician's toolbox. There is a property of dot products, however, that is often taken for granted: the multiplication of the magnitudes of two vectors by the cosine of the angle between them equals the sum of the multiplication of their respective compo
From playlist Fun
Proof: Uniqueness of the Tensor Product
Universal property introduction: https://youtu.be/vZzZhdLC_YQ This video proves the uniqueness of the tensor product of vector spaces (or modules over a commutative ring). This uses the universal property of the tensor product to prove the existence of an isomorphism (linear bijection) be
From playlist Tensor Products
This video explains how to determine the volume of a parallelepiped using the triple scalar product. http://mathispower4u.yolasite.com/
From playlist Vectors
Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference
This video explains how to find the cross product of a sum and difference of two vectors. Site: http://mathispower4u.com
From playlist Vectors in Space (3D)
What is the scalar triple product of vectors and how do we compute it? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/KiMe1ZadrV
From playlist Introduction to Vectors
On the number of ordinary lines determined by sets in complex space - Shubhangi Saraf
Computer Science/Discrete Mathematics Seminar I Topic: On the number of ordinary lines determined by sets in complex space Speaker: Shubhangi Saraf Affiliation: Rutgers University Date: December 5, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Linear Algebra 11j: The Associative Property (a.k.a. Associativity) of Matrix Multiplication
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24
From playlist Recent videos
Geometry - Scalar Triple Product: Oxford Mathematics 1st Year Student Lecture
To give an insight in to life in Oxford Mathematics we are greatly increasing the number of undergraduate lectures that we are making available. This Geometry lecture from Professor Derek Moulton is taken from his First Year course. This course revisits some ideas encountered in high scho
From playlist Oxford Mathematics 1st Year Student Lectures
Elliptic curves of rank two and generalised Kato classes - Francesc Castella
Joint IAS/Princeton University Number Theory Seminar Topic: Elliptic curves of rank two and generalised Kato classes Speaker: Francesc Castella Affiliation: Princeton University Date: October 24, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
The PCP theorem, locally testable codes, and property testing - Irit Dinur
Stability and Testability Topic: The PCP theorem, locally testable codes, and property testing Speaker: Irit Dinur Affiliation: Weizmann Institute of Science Date: January 13, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Olivier Guichard - Positivity in flag manifolds and positive representations
This talk is based on joint works with Anna Wienhard and François Labourie. In a number of situations, an action on a flag manifold is well controlled via a structure mimicking the orientability of the circle. After reviewing the classical examples of such structures, we will propose an ax
From playlist Geometry in non-positive curvature and Kähler groups
#MegaFavNumbers A small discussion regarding a famous "proof" that all numbers are interesting. This video is my participation in the #MegaFavNumbers project.
From playlist MegaFavNumbers
Geometric Algebra - Duality and the Cross Product
In this video, we will introduce the concept of duality, involving a multiplication by the pseudoscalar. We will observe the geometric meaning of duality and also see that the cross product and wedge product are dual to one another, which means that the cross product is already contained w
From playlist Geometric Algebra
Geometry of vortices on Riemann surfaces (Lecture 3) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023