Topics in Combinatorics lecture 3.0 --- Crossing numbers and point-line incidences
Suppose you have n points and m lines in the plane. A point-line incidence is a pair (P,L) where P is one of the points and L is one of the lines. How many point-line incidences can there be, given m and n? This question is answered by the Szemerédi-Trotter theorem: the answer, up to a mul
From playlist Topics in Combinatorics (Cambridge Part III course)
Symmetry Introduction: x-axis, y-axis, the origin
This video produces symmetry about the x-axis, y-axis, and origin. It explains how to visually determine if a graph has symmetry and how to determine symmetry algebraically. Complete Library: http://mathispower4u.com Search by Topic: http://mathispower4u.wordpress.com
From playlist Graphing Functions (Algebra 1)
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang The incidence matrix has a row for every edge, containing -1 and +1 to show which two nodes are connec
From playlist MIT Learn Differential Equations
Incidence estimates with application to Fourier analysis. - Hong Wang
Short talks by postdoctoral members Topic: Incidence estimates with application to Fourier analysis. Speaker: Hong Wang Affiliation: Member, School of Mathematics Date: October 2, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Graphing Equations By Plotting Points - Part 1
This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com
From playlist Graphing Various Functions
Graphing the system of two linear inequalities with two horizontal line
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Ex: State the X and Y Intercepts Given the Graph of a Line
This video explains how to locate and give the x and y intercepts of a graphed line. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Graphing Linear Equations Using a Table of Values
Determine Intercepts from Graphs of Lines
This video explains how to determine the horizontal and vertical intercepts of a graph of a line. http://mathispower4u.com
From playlist Graphing and Determining Linear Equations in Standard Form: Ax + By = C
26. Sum-product problem and incidence geometry
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 A famous open problem says that no set of integers can si
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
The First Theorem of Graph Theory | Graph Theory
What is The First Theorem of Graph Theory? This theorem gets its name from the fact that it is often the first theorem encountered when one is learning graph theory. The first theorem tells us that if a graph G has size m, then the sum of the degrees of all vertices of G is equal to 2m.
From playlist Graph Theory
What is an Edge-Induced Subgraph? | Graph Theory
What is an edge-induced subgraph? Edge-induced subgraphs are, in my opinion, a less interesting counterpart to vertex-induced subgraphs, but we will go over them in today's math lesson nonetheless! So just what are edge induced subgraphs? Edge induced subgraphs are basically subgraphs cre
From playlist Graph Theory
What are Adjacent Edges? | Graph Theory
What are adjacent edges? We go over it in today's math lesson! In a graph, two edges are said to be adjacent if and only if they are both incident with a common vertex. So if an edge ab joins vertex a to vertex b, and edge cb joins vertex c to vertex b, then ab and cb are adjacent edges be
From playlist Graph Theory
Section 3b Adjacency Matrix and Incidence Matrix
This video is about Section 3b Adjacency Matrix and Incidence Matrix
From playlist Graph Theory
What is the Degree of a Vertex? | Graph Theory
What is the degree of a vertex? We go over it in this math lesson! In a graph, vertices are often connected to other vertices. Let's say we have a vertex called V. Then, the degree of V, denoted deg(V) or deg V, is the number of edges incident with V. This is equal to the number of vertice
From playlist Graph Theory
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
Graph Theory: 07 Adjacency Matrix and Incidence Matrix
The adjacency matrix of a graph and the incidence matrix of a graph are two ways to contain all of the information about the graph in a very useful format. Here we define these two types of matrices and show how to build them with an example. Also includes BONUS FOOTAGE explaining how to
From playlist Graph Theory part-1
How to graph a system of linear inequalities in slope intercept form
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Subtracting a Vertex from a Graph (Vertex Deletion) | Graph Theory
How do we subtract a vertex from a graph? This is also sometimes referred to as deleting a vertex from a graph. So call it vertex subtraction or vertex deletion, whichever you please, that’s what we are going over today! Deleting a vertex from a graph is pretty intuitive. First we just re
From playlist Graph Theory
How to graph the system of linear inequalities of one horizontal and one vertical
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Bernd Schulze: Characterizing Minimally Flat Symmetric Hypergraphs
Scene analysis is concerned with the reconstruction of d-dimensional objects, such as polyhedral surfaces, from (d-1)-dimensional pictures (i.e., projections of the objects onto a hyperplane). This theory is closely connected to rigidity theory and other areas of discrete applied geometry,
From playlist HIM Lectures 2015