Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory
What is a Graph? | Graph Theory
What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each
From playlist Graph Theory
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Proof of the Rank-Nullity Theorem, one of the cornerstones of linear algebra. Intuitively, it says that the rank and the nullity of a linear transformation are related: the more vectors T sends to 0, the smaller its range. The proof is especially elegant and uses important concepts in line
From playlist Linear Transformations
Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger
Null points and null lines are central in universal hyperbolic geometry. By definition a null point is just a point which lies on its dual line, and dually a null line is just a line which passes through its dual point. We extend the rational parametrization of the unit circle to the proj
From playlist Universal Hyperbolic Geometry
Graph Theory FAQs: 01. More General Graph Definition
In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o
From playlist Graph Theory FAQs
Bubbling theory for minimal hypersurfaces - Ben Sharp
Variational Methods in Geometry Seminar Topic: Bubbling theory for minimal hypersurfaces Speaker: Ben Sharp Affiliation: University of Warwick Date: November 27, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Circuits, Graph Theory, and Linear Algebra | #some2
This is a submission for the Summer of Math Exposition #2 by Peter C and Akshay S, who are high school students interested in math. Spiritual enthusiasm result from https://www.youtube.com/watch?v=eyuNrm4VK2w The crux of this video was motivated by Gilbert Strang's textbook on linear alg
From playlist Summer of Math Exposition 2 videos
Lecture 12: Tensegrities & Carpenter's Rules
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture covers infinitesimal rigidity and motion, and tensegrity systems as an extension of rigidity theory. The rigidity mat
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
I Learned How to Divide by Zero (Don't Tell Your Teacher)
They say you can't divide by zero. But "they" say a lot of things. It's time to see how to divide by 0. Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it
From playlist Fun and Amazing Math
In this video I start to discuss the idea of the null space of a matrix. In these situations, the right-hand side of all the equations in the linear system is equal to zero. There is the trivial solution, where all the elements of the solution is zero. We are more interested in the spec
From playlist Introducing linear algebra
Graph Theory: 02. Definition of a Graph
In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio
From playlist Graph Theory part-1
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
53 - The rank-nullity theorem revisited
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
0 x ♾️ , It's Not What You Think
Keep exploring at http://brilliant.org/BriTheMathGuy/. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. What Is 0 Times Infinity? 0 x infinity? Many Thanks to Eddie Price for helping make this video possible! ►WEBSITE https://www.brithem
From playlist Fun and Amazing Math
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky
Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Mathematical theories start with axioms, but penultimate to that is the definition. When we go to learn, what's the best definition to commit to memory? Here we talk about Graph Theory and I give you 3 definitions to choose from. Which would you use?
From playlist Summer of Math Exposition 2 videos
2∞2∞-Selmer groups, 2∞2∞-class groups, and Goldfeld's conjecture - Alex Smith
Joint IAS/Princeton University Number Theory Seminar Particle Physics at the LHC and Beyond Topic: 2∞2∞-Selmer groups, 2∞2∞-class groups, and Goldfeld's conjecture Speaker: Alex Smith Affiliation: Harvard University Date: July 27th, 2017
From playlist Mathematics