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 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)
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
Finding Closed Sets, the Closure of a Set, and Dense Subsets Topology
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding Closed Sets, the Closure of a Set, and Dense Subsets Topology
From playlist Topology
Power Set of the Power Set of the Power Set of the Empty Set | Set Theory
The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p
From playlist Set Theory
Finding Limit Points and the Derived Set in a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding Limit Points and the Derived Set in a Topological Space
From playlist Topology
Some Small Ideas in Math: A Set of Measure Zero Versus a Set of First Category (Meager Sets)
There are a ton of different ways to define what it means for a set to be "small". Here, we will focusing on the difference between a set of measure zero versus a set of first category by using examples to demonstrate that they are different sizing methods. Depending on the context of the
From playlist The New CHALKboard
Abonniert den Kanal, damit er auch in Zukunft bestehen kann. Es ist vollkommen kostenlos und ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erkläre ich den Satz von Baire.
From playlist Funktionalanalysis
Ramsey classes and sparsity for finite models - J. Nešetřil - Workshop 1 - CEB T1 2018
Jaroslav Nešetřil (Prague) / 31.01.2018 In the talk we relate two notions in the title particularly in the context of sparse dense dichotomy (nowhere and somewhere dense classes and stability) and Ramsey classes of finite models in the context of the characterisation programme. A joint wo
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Jens Kaad: Differentiable absorption of Hilbert C*-modules
The Kasparov absorption (or stabilization) theorem states that any countably generated Hilbert C^*-module is isomorphic to a direct summand in a standard module. In this talk, I will generalize this result by incorporating a densely defined derivation on the base C^*-algebra. The extra com
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
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 || 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
Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem
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=58B5dEJReQ8&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Modeling limits - P. Ossona de Mendez - Workshop 1 - CEB T1 2018
Patrice Ossona de Mendez (EHSS) / 30.01.2018 A sequence of graphs is FO-convergent if the probability of satisfaction of every first-order formula converges. A graph modeling is a graph, whose domain is a standard probability space, with the property that every definable set is Borel. It
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Arnaud Durand : A quick and partial survey on the complexity of query answering
CONFERENCE Recording during the thematic meeting : « Discrete mathematics and logic: between mathematics and the computer science » the January 19, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other
From playlist Logic and Foundations
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
An Apple a Day Can Solve World Hunger (Chaos Theory: Butterfly Effect) #SoME2
Thanks to RJTheLammie and an anonymous maths teacher for helping with this project. They both contributed massively, so they deserve as much, if not more credit for this video. This was an absolute pain to create. 20 minutes of coded simulations, Manim animations, suffering, video editing
From playlist Summer of Math Exposition 2 videos
Grand Canyon Adventure: The 750-Mile Hike That Nearly Killed Us (Part 3) | Nat Geo Live
Few people have completed a thru-hike of the Grand Canyon, and now Kevin Fedarko and Pete McBride know why: The 750-mile hike proved to be the most difficult undertaking of their lives. Join the pair as they comically recount their brutal adventure. ➡ Subscribe: http://bit.ly/NatGeoSubscri
From playlist National Geographic Live!: Season 12
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
EEVblog #1333 - Nuclear Diamond Self-Charging Battery DEBUNKED!
Dave debunks the marketing claims of self-charging Nano Nuclear Diamond Batteries in the first 10 minutes using their own material. The rest of the video is cream on top. NDB Inc supposedly have a nano diamond self-charging nuclear battery that will revolutionise the energy industry and po
From playlist Debunking