Math 060 Fall 2017 111317C Orthonormal Bases
Motivation: how to obtain the coordinate vector with respect to a given basis? Definition: orthogonal set. Example. Orthogonal implies linearly independent. Orthonormal sets. Example of an orthonormal set. Definition: orthonormal basis. Properties of orthonormal bases. Example: Fou
From playlist Course 4: Linear Algebra (Fall 2017)
Linear Algebra: Orthonormal Basis
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/ More on unit vectors: https://www.youtube.com/watch?v=C6EYJVBYXIo
From playlist Basics: Linear Algebra
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)
Orthonormal bases. The Gram-Schmidt Procedure. Schuur's Theorem on upper-triangular matrix with respect to an orthonormal basis. The Riesz Representation Theorem.
From playlist Linear Algebra Done Right
Linear Algebra - Lecture 39 - Orthonormal Sets
In this lecture, we discuss orthonormal sets of vectors. We investigate matrices with orthonormal columns. We also define an orthogonal matrix.
From playlist Linear Algebra Lectures
Orthogonal and Orthonormal Sets of Vectors
This video defines orthogonal and orthonormal sets of vectors.
From playlist Orthogonal and Orthonormal Sets of Vectors
A Promenade in Time-Frequency Analysis - Kasso Okoudjou
CAARMS Topic: A Promenade in Time-Frequency Analysis Speaker: Kasso Okoudjou Affiliation: MIT& University of Maryland Date: July 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Ingrid Daubechies - 3/4 Time-Frequency Localization and Applications
Abstract: In this 250th anniversary year of the birth of Joseph Fourier, it behoves us to talk of frequency and spectral analysis! The lectures shall visit a number of different techniques that have been developed and applied in the last 30 years, to carry out what engineers and applied m
From playlist Hadamard Lectures 2018 - Ingrid DAUBECHIES - Time-Frequency Localization and Applications
Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger
In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb
From playlist Universal Hyperbolic Geometry
Linear Algebra: Given an orthonormal basis of R^n, we present a quick method for finding coefficients of linear combination in terms of the basis. We also give an analogue of Parseval's Identity, which relates these coefficients to the squared length of the vector.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
T. Richard - Advanced basics of Riemannian geometry 4
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Ortogonalización y ortonormalización (Teorema de Gram-Schmidt) #SoME1
Be sure to ACTIVATE ENGLISH SUBTITLES!!! Also, English translations for both text-based scenes can be found (with timestamps) here: https://drive.google.com/drive/folders/1Zd5nR-gg3SkqA-hROpJZGpdlCVWJZnA5?usp=sharing. In this video, we will see how to obtain an orthogonal or orthonormal s
From playlist Summer of Math Exposition Youtube Videos
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates In this lecture we re-work the Riemann Normal Coordinate formalism from the point of view of a coordinate transformation and leaning on the Einstein Equivalence Principle. We also point out wh
From playlist What is General Relativity?
T. Richard - Advanced basics of Riemannian geometry 4 (version temporaire)
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism In this lecture we introduce the tetrad formalism. This is a pre-requisite, in my opinion, to the study of Riemann Normal Coordinates, although RNC are not always introduced with the tetrad formalism in
From playlist What is General Relativity?
Dmitriy Bilyk: On the interplay between uniform distribution,discrepancy, and energy
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications". Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo
From playlist Analysis and its Applications
Jerzy Lewandowski: The quantum states and operators of the canonical LQG
Recording during the meeting "Twistors and Loops Meeting in Marseille" the September 02, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisua
From playlist Mathematical Physics
Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 2 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
AGACSE2021 Anthony Lasenby - Fundamental Forces
Geometric Algebra and the fundamental forces of nature. Slides available at https://bivector.net/A_Lasenby_brno_2021.pdf 00:00 : Characteristic Polynomial 44:27 : The Fundamental Forces
From playlist AGACSE2021
Linear Algebra 10: Construction of a Orthonormal Basis (Ch4 Pr3)
How to use the Gram-Schmidt orthogonalisation process to find a orthonormal basis on the space of degree two polynomials. Presented by Peter Brown from the UNSW School of Mathematics and Statistics.
From playlist MATH2501 - Linear Algebra