Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
An embodiment of "Sarrus linkage 1". Two planes of two planar slider-crank mechanisms are not necessary to be perpendicular to each other. It is enough that they are not parallel.
From playlist Mechanisms
Using the pythagorean theorem to a rhombus
👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,
From playlist Properties of Rhombuses
The Basics of Sets | Cartesian Products
We define the Cartesian product of sets and work through several examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile:
From playlist Proof Writing
Jeremy Rouse, l-adic images of Galois for elliptic curves over Q
VaNTAGe seminar, June 22, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Xin Li: Cartan subalgebras in C*-algebras
This talk is about the notion of Cartan subalgebras introduced by Renault, based on work of Kumjian. We explain how Cartan algebras build a bridge between dynamical systems and operator algebras, and why this notion might be interesting for the structure theory of C*-algebras as well. The
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
What is the Cartesian Product of Sets? | Set Theory
What is the Cartesian product of two sets? The Cartesian product can be generalized to more than two sets, but in this video we go over Cartesian products of two sets! Here is how it works. If you have two sets, A and B, then their Cartesian product, written A x B, is the set containing al
From playlist Set Theory
CARTESIAN PRODUCTS and ORDERED PAIRS - DISCRETE MATHEMATICS
We introduce ordered pairs and cartesian products. We also look at the definition of n-tuples and the cardinatliy of cartesian products. LIKE AND SHARE THE VIDEO IF IT HELPED! Support me on Patreon: http://bit.ly/2EUdAl3 Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http
From playlist Discrete Math 1
Stefaan Vaes - Classification of regular subalgebras of the hyperfinite II1 factor
I present a joint work with Sorin Popa and Dimitri Shlyakhtenko. We prove that under a natural condition, the regular von Neumann subalgebras B of the hyperfinite II1 factor R are completely classified (up to conjugacy by an automorphism of R) by the associated discrete measured groupoid.
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
From playlist Coordinate Systems
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts Full Review: https://youtu.be/5JJzHUKyxrE This is the book on amazon:https://amzn.to/380wqF7 (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PL
From playlist Book Reviews #shorts
Oldschool Complex Analysis Book
Oldschool Complex Analysis Book This is the book on amazon: https://amzn.to/2pTP39K (note this is my affiliate link, I earn a small percentage from qualifying purchases) This is an absolute classic. The author of this book was a founding member of the Bourbaki Group and lived to be 104 y
From playlist Cool Math Stuff
Representations of Galois algebras – Vyacheslav Futorny – ICM2018
Lie Theory and Generalizations Invited Lecture 7.3 Representations of Galois algebras Vyacheslav Futorny Abstract: Galois algebras allow an effective study of their representations based on the invariant skew group structure. We will survey their theory including recent results on Gelfan
From playlist Lie Theory and Generalizations
How to make Cartesian Diver! Materials : Two coins, plastic straw, gas lighter, tacks, soda bottle
From playlist MECHANICS
Let's look at some math books:) I tried to pick books which are good and/or famous to some extent. All of these books are pretty good. Some are good for beginners and some are definitely not good for beginners. These are the books on amazon. Linear algebra by Strang https://amzn.to/3tAy
From playlist Book Reviews
Rafael DÃaz: Deformations of N-differential graded algebras
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 keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
Are math people elitist? Do you think this is true? I discuss this and I also talk about four famous math books which are considered extremely rigorous. The books are Real and Complex Analysis by Rudin which is also known as "Papa Rudin", Principles of Mathematical Analysis by Rudin which
From playlist Book Reviews
Using the properties of a rhombus to determine the missing value
👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,
From playlist Properties of Rhombuses
Explicitly characterizing a Casimir Element of a Five Dimensional Representation of a Uq (SP4)
Speakers; M.Krawczyk (Defining Lie Algebra & the Representations of Lie Algebras). Z.Davis(Weight Spaces, Root systems, Lemma(via Kuan), The Central Element, 5-dimensional Fundamental Representation, Pairing & Dual Basis). R.Campbell(Cartan subalgebras, Quantization, Universal Enveloping
From playlist 2017 Summer REU Presentations
What are the properties that make up a rhombus
👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,
From playlist Properties of Rhombuses