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
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)
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
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)
Quadratically regularized optimal transport - Lorenz - Workshop 1 - CEB T1 2019
Lorenz (Univ. Braunschweig) / 07.02.2019 Quadratically regularized optimal transport Among regularization techniques for optimal transport, entropic regularization has played a pivotal rule. The main reason may be its computational simplicity: the Sinkhorn-Knopp iteration can be impleme
From playlist 2019 - T1 - The Mathematics of Imaging
finding the orthocenter - coordinate geometry
In this video, I show how to find the coordinates of the orthocenter. I go through a step by step process of writing the equation of the 3 altitudes of a triangle. Then using algebra to find the point of intersection of the 3 altitudes. The concepts of linear equations and perpendicular li
From playlist Geometry
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard
Yoast SEO Tutorial 2021 | Yoast SEO Plugin For WordPress | Digital Marketing Training | Edureka
🔥 Edureka Digital Marketing Course: https://www.edureka.co/digital-marketing This Edureka "Yoast SEO Tutorial" video will help you by asserting crucial SEO guidelines to send the right signals to search engines and also push your website up the list of results into the first spot. Followin
From playlist Digital Marketing Tutorial For Beginners | Edureka
Now we know about vector spaces, so it's time to learn how to form something called a basis for that vector space. This is a set of linearly independent vectors that can be used as building blocks to make any other vector in the space. Let's take a closer look at this, as well as the dimen
From playlist Mathematics (All Of It)
Orthogonal and Orthonormal Sets of Vectors
This video defines orthogonal and orthonormal sets of vectors.
From playlist Orthogonal and Orthonormal Sets of Vectors
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Mod-01 Lec-05 Examples of Norms,Cauchy Sequence and Convergence, Introduction to Banach Spaces
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Lecture with Ole Christensen. Kapitler: 00:00 - Banach Spaces; 06:30 - Cauchy Sequences; 12:00 - Def: Banach Space; 15:45 - Examples; 17:15 - C[A,B] Is Banach With Proof; 36:30 - Ex: Sequence Space L^1(N); 46:45 - Sequence Space L^p(N);
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
Sergio Zamora (1/20/23): The lower semi-continuity of \pi_1 and nilpotent structures in persistence
When a sequence of compact geodesic spaces X_i converges to a compact geodesic space X, under minimal assumptions there are surjective morphisms $\pi_1(X_i) \to \pi_1(X)$ for i large enough. In particular, a limit of simply connected spaces is simply connected. This is clearly not true for
From playlist Vietoris-Rips Seminar
MAST30026 Lecture 18: Banach spaces (Part 2)
I gave a counter-example which shows that the space of functions on an integral pair with the L^p-norm for p finite is not complete, and then I started the process of constructing the completion. We almost got to the end of proving the existence of the completion of a metric space. Lectur
From playlist MAST30026 Metric and Hilbert spaces
Foundations of Quantum Mechanics: Completeness
Foundations of Quantum Mechanics: Completeness This lecture is a long and complex proof that every finite vector space is complete. The purpose is to demonstrate some of the methods of real and functional analysis as well as to emphasize the significance of a vector space being finite-dim
From playlist Mathematical Foundations of Quantum Mechanics
MAST30026 Lecture 18: Banach spaces (Part 3)
I finished (completed!) the construction of the completion of a metric space, and sketched the proof that uniformly continuous functions extend from a metric space to its completion uniquely. I then constructed the completion of a normed space and ended by formally defining L^p spaces. Le
From playlist MAST30026 Metric and Hilbert spaces
MAST30026 Lecture 13: Metrics on function spaces (Part 2)
I discussed pointwise and uniform convergence of functions, proved that the uniform limit of continuous functions is continuous, and used that to prove that Cts(X,Y) is a complete metric space with respect to the sup metric if X is compact and Y is a complete metric space. Lecture notes:
From playlist MAST30026 Metric and Hilbert spaces
Lecture 1: Basic Banach Space Theory
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=uoL4lQxfgwg&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
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