Theorems in algebra | Articles containing proofs | Linear algebra | Matrix theory
In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician Semyon Aronovich Gershgorin in 1931. Gershgorin's name has been transliterated in several different ways, including Geršgorin, Gerschgorin, Gershgorin, Hershhorn, and Hirschhorn. (Wikipedia).
9: Gershgorin Circle Theorem - Learning Linear Algebra
Full Learning Linear Algebra playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHNCfEiX6l5CKbljWayGEcs Gershgorin disks and a derivation how we can use them to find eigenvalues. For now, this is the last video of my linear algebra series. New series coming up soon! Shifted invers
From playlist Awesome Concept Explanations
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Proving From the Graph -- The Gershgorin Theorem (3B1B Summer of Math Exposition 2) #SoME2
00:00 Intro 00:20 Definition 03:32 Theorem 04:25 Proof of (2) 07:30 Fun Fact 1 08:26 Fun Fact 2 10:17 Proof of (1) The code of the animation in this video is upload to GitHub: https://github.com/TwilightSpar/Gershgorin This was made as part of 3Blue1Brown's Summer of Math Exposition: h
From playlist Summer of Math Exposition 2 videos
Lec 17 | MIT 18.085 Computational Science and Engineering I
Finite difference methods: equilibrium problems A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007
Oscillatory networks - II by Bard Ermentrout
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
(PP 6.5) Affine property, Constructing Gaussians, and Sphering
Any affine transformation of a (multivariate) Gaussian random variable is (multivariate) Gaussian. How to construct any (multivariate) Gaussian using an affine transformation of standard normals. How to "sphere" a Gaussian, i.e. transform it into a vector of independent standard normals.
From playlist Probability Theory
Gaussian Curvature Invariance: Theorema Egregium Visually Proved
the "remarkable theorem" made by Gauss, usually called "Theorema Egregium" is visually proved. this famous theorem lays the foundation for differential geometry, Riemannian geometry and hence General Relativity of Einstein. the outline of the proof is in accordance to the one represented b
From playlist Summer of Math Exposition Youtube Videos
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
The Gergonne point (X7) is named for Joseph Gergonne, a visionary18th century geometer. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great fo
From playlist Triangle Geometry
Joe Neeman: Gaussian isoperimetry and related topics III
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Gaussian Integral 8 Original Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I present the classical way using polar coordinates, the one that Laplace original
From playlist Gaussian Integral
All of the Circle Theorems in 10 Minutes!! | Circle Theorem Series Part 1 | GCSE Maths Tutor
A video revising the techniques and strategies for learning each of the circle theorems (Higher Only). This video is part of the Geometry module for Circle Theorems in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend: Casio fx
From playlist GCSE Maths Videos
Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains
Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal
From playlist AATRN 2020
A central limit theorem for Gaussian polynomials...... pt2 - Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
Proving the Circle Theorems | Grade 9 Maths Series | GCSE Maths Tutor
A video revising the techniques and strategies for proving the circle theorems (Higher Only). This video is part of the Geometry module for Circle Theorems in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend: Casio fx-83GTX Sc
From playlist Geometry
This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems. Here is a list of topics: 1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the mid
From playlist Geometry Video Playlist
Introduction To Circle Theorems | GCSE & IGCSE Maths | AQA, Edexcel, CIE, OCR
Hazel and Lesley take you through the basics of circle theorems, and how to use them to answer questions in your GCSE and IGCSE maths exams. These videos are designed to help with your GCSE and IGCSE maths revision. To keep up to date with my Science with Hazel videos and support: Visit
From playlist GCSE & IGCSE Maths //
All GCSE circle theorems & proofs
In this video I go over the eight circle theorems you need to know for GCSE mathematics, and also provide proofs. Below are the pdfs of the proofs and a blank document that you might want to use to write your own proofs or to help with revision. circle theorem proofs - http://bit.ly/36kkM
From playlist Geometry Revision
Ring Theory: As an application of all previous ideas on rings, we determine the primes in the Euclidean domain of Gaussian integers Z[i]. Not only is the answer somewhat elegant, but it contains a beautiful theorem on prime integers due to Fermat. We finish with examples of factorization
From playlist Abstract Algebra