In this video, I define the concept of orthogonal projection of a vector on a line (and on more general subspaces), derive a very nice formula for it, and show why orthogonal projections are so useful. You might even see the hugging formula again. Enjoy! This is the second part of the ort
From playlist Orthogonality
Introduction to the Gram-Schmidt Orthogonalization Procedure
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 4 Linear Algebra: Inner Products
Orthogonality and Orthonormality
We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one
From playlist Mathematics (All Of It)
In this last part of the orthogonality extravaganza, I show how to use our orthogonality-formula to find the full Fourier series of a function. I also show to what function the Fourier series converges too. In a future video, I'll show you how to find the Fourier sine/cosine series of a fu
From playlist Orthogonality
This is the first video of a linear algebra-series on orthogonality. In this video, I define the notion of orthogonal sets, then show that an orthogonal set without the 0 vector is linearly independent, and finally I show that it's easy to calculate the coordinates of a vector in terms of
From playlist Orthogonality
Linear Algebra 7.1 Orthogonal Matrices
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
11H Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
11J Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
Where do the coefficients for a Fourier Series come from? In this video, we explore a method for determining these coefficients.
From playlist Mathematical Physics II Uploads
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
[BOURBAKI 2017] 17/06/2017 - 2/4 - Lillian PIERCE
The Vinogradov Mean Value Theorem [after Bourgain, Demeter and Guth, and Wooley] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHe
From playlist BOURBAKI - 2017
Unified Charge Vectors (UCV Theory) by Noam Why. Grand unification of electroweak and strong forces.
A new breakthrough in theoretical physics! UCV theory is a grand unification of electroweak and strong forces based on a new idea called Unified Charge Vectors. The theory was developed by Noam Why and was first published in January 2021. Original paper: https://independent.academia.edu/W
From playlist Summer of Math Exposition Youtube Videos
Linear Algebra 6.3 Gram-Schmidt Process; QR-Decomposition
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
MATH2018 Lecture 6.2 Special Matrices
We look at the properties of invertible matrices, symmetric matrices, and orthogonal matrices, and discuss some important relationships between them.
From playlist MATH2018 Engineering Mathematics 2D
Quaternions: Extracting the Dot and Cross Products
The most important operations upon vectors include the dot and cross products and are indispensable for doing physics and vector calculus. The dot product gives a quick way to check whether vectors are orthogonal and the cross product calculates a new vector orthogonal to both its inputs.
From playlist Quaternions
undergraduate machine learning 15: Singular Value Decomposition - SVD
Eigenvalue expansions, the singular value decomposition (SVD) and image compression. The slides are available here: http://www.cs.ubc.ca/~nando/340-2012/lectures.php This course was taught in 2012 at UBC by Nando de Freitas
From playlist undergraduate machine learning at UBC 2012
Orthogonal + orthonormal vectors
What are orthogonal and orthonormal vectors? Find out here! Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/EqfOfx0Z9N
From playlist Introduction to Vectors
Francesca Da Lio: Analysis of nonlocal conformal invariant variational problems, Lecture II
There has been a lot of interest in recent years for the analysis of free-boundary minimal surfaces. In the first part of the course we will recall some facts of conformal invariant problems in 2D and some aspects of the integrability by compensation theory. In the second part we will sho
From playlist Hausdorff School: Trending Tools