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
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
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
In this video we give some properties of the Cartier operator (or the inverse of the Cartier operator) which we need to prove the Cartier Isomorphism.
From playlist Cartier Operator
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
The Cartesian Product of Two Sets
This video explains how to find the Cartesian product of two sets.
From playlist Sets (Discrete Math)
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
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"
Symmetric spaces (Lecture – 01) by Pralay Chatterjee
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Proof: Cancellation Law for Cartesian Products | Set Theory
We prove the cancellation law for cartesian products. Suppose A, B, and C are sets with C nonempty. Then AxC=BxC. This is a straightforward set equality proof, we first have to consider the case where A is empty. Then, we'll suppose it is nonempty, and show A is a subset of B. It is the sa
From playlist Set Theory
Kevin Buzzard (lecture 18/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Michel Dubois-Violette: The Weil algebra of a Hopf algebra
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
Set Theory Proof Cartesian Product of Sets with Union A x (B U C) = (A x B) U (A x C)
Set Theory Proof Cartesian Product of Sets with Union A x (B U C) = (A x B) U (A x C) B-Roll - Islandesque by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/) Source: http://incompetech.com/music/royalty-free/index.html?
From playlist Set Theory
Probability & Statistics (29 of 62) Basic Theorems 1 - 5
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Theorem 1-5. Next video in series: http://youtu.be/0h1lnzQR_5o
From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS
What Morse missed by not talking to Weyl - Raoul Bott
75th Anniversary Celebration School of Mathematics Raoul Bott Harvard University March 12, 2005 More videos on http://video.ias.edu
From playlist Mathematics
Cartesian Product of Two Sets A x B
Learning Objectives: 1) Define an ordered pair 2) Define the Cartesian Product of two sets 3) Find all the elements in a Cartesian Product **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask q
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
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
I give a proof of the Cartan-Hadamard theorem on non-positively curved complete Riemannian manifolds. For more details see Chapter 7 of do Carmo's "Riemannian geomety". If you find any typos or mistakes, please point them out in the comments.
From playlist Differential geometry
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Filip Najman, Q-curves over odd degree fields and sporadic points
VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations