Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Advanced Calculus
Math 101 Introduction to Analysis 112515: Introduction to Compact Sets
Introduction to Compact Sets: open covers; examples of finite and infinite open covers; definition of compactness; example of a non-compact set; compact implies closed; closed subset of compact set is compact; continuous image of a compact set is compact
From playlist Course 6: Introduction to Analysis
Math 101 Introduction to Analysis 113015: Compact Sets, ct'd
Compact sets, continued. Recalling various facts about compact sets. Compact implies infinite subsets have limit points (accumulation points), that is, compactness implies limit point compactness; collections of compact sets with the finite intersection property have nonempty intersectio
From playlist Course 6: Introduction to Analysis
Determine Sets Given Using Set Notation (Ex 2)
This video provides examples to describing a set given the set notation of a set.
From playlist Sets (Discrete Math)
In this video, Tori explains the meaning of a set. She looks into finite versus infinite sets, and explains elements.
From playlist Basics: College Algebra
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
16. Graph limits III: compactness and applications
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Continuing the discussion of graph limits, Prof. Zhao pro
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
This video is about compactness and some of its basic properties.
From playlist Basics: Topology
Random orderings and unique ergodicity of automorphism groups - Russell Lyons
Conference on Graphs and Analysis Russell Lyons June 4, 2012 More videos on http://video.ias.edu
From playlist Mathematics
Christian Lehn (3/26/19): Limit theorems in topological data analysis
Title: Limit theorems in topological data analysis Abstract: In a joint work with S. Kališnik Verošek and V. Limic we generalize the notion of barcodes in topological data analysis in order to prove limit theorems for point clouds sampled from an unknown distribution as the number of poin
From playlist AATRN 2019
What is the limit of a sequence of graphs?? | Benjamini-Schramm Convergence
This is an introduction to the mathematical concept of Benjamini-Schramm convergence, which is a type of graph limit theory which works well for sparse graphs. We hope that most of it is understandable by a wide audience with some mathematical background (including some prior exposure to g
From playlist Summer of Math Exposition Youtube Videos
The role of topology and compactness (...) - CEB T2 2017 - Varadhan - 1/3
S.R.S. Varadhan (Courant Institute) - 06/06/2017 The role of topology and compactness in the theory of large deviations When a large deviation result is proved there is some topology involved in the statement because it affects the class of sets for which the estimates hold. Often the cho
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Homogenization and Correctors for Linear Stochastic Equations in.... by Mogtaba A. Y. Mohammed
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Persi Diaconis: Haar-distributed random matrices - in memory of Elizabeth Meckes
Elizabeth Meckes spent many years studying properties of Haar measure on the classical compact groups along with applications to high dimensional geometry. I will review some of her work and some recent results I wish I could have talked about with her.
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Harmonic Measures and Poisson Boundaries for Random Walks on Groups (Lecture 1) by Giulio Tiozzo
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Nodal domains for Maass forms - Peter Sarnak
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Nodal domains for Maass forms Speaker: Peter Sarnak Affiliation: Professor, School of Mathematics Date: March 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
The Abel lectures: Hillel Furstenberg and Gregory Margulis
0:30 Welcome by Hans Petter Graver, President of the Norwegian Academy of Science Letters 01:37 Introduction by Hans Munthe-Kaas, Chair of the Abel Prize Committee 04:16 Hillel Furstenberg: Random walks in non-euclidean space and the Poisson boundary of a group 58:40 Questions and answers
From playlist Gregory Margulis
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory