Theorems in graph theory | Hamiltonian paths and cycles | Articles containing proofs | Extremal graph theory
Ore's theorem is a result in graph theory proved in 1960 by Norwegian mathematician Øystein Ore. It gives a sufficient condition for a graph to be Hamiltonian, essentially stating that a graph with sufficiently many edges must contain a Hamilton cycle. Specifically, the theorem considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian. (Wikipedia).
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
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Proof: Ore's Theorem for Hamiltonian Graphs | Sufficient Condition for Hamilton Graphs, Graph Theory
What is Ore's Theorem for Hamiltonian graphs and how do we prove it? Ore's Theorem gives us a sufficient condition for a graph to have a Hamiltonian cycle and therefore be a Hamiltonian or Hamilton graph. The theorem tells us that if, in a graph with order n greater than or equal to 3, the
From playlist Graph Theory
Proving an Equation has a Solution using the Intermediate Value Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proving an Equation has a Solution using the Intermediate Value Theorem
From playlist Calculus
Differential Equations | Application of Abel's Theorem Example 2
We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net
From playlist Differential Equations
Proof: Dirac's Theorem for Hamiltonian Graphs | Hamiltonian Cycles, Graph Theory
Dirac’s theorem for Hamiltonian graphs tells us that if a graph of order n greater than or equal to 3 has a minimum degree greater than or equal to half of n, then the graph is Hamiltonian. In today’s video graph theory lesson, we’ll prove Dirac’s theorem. In fact, we will give two proofs
From playlist Graph Theory
A nearly optimal lower bound on the approximate degree of AC00- Mark Bun
Computer Science/Discrete Mathematics Seminar I Topic: A nearly optimal lower bound on the approximate degree of AC00 Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker: Mark Bun Affiliation: Princeton University Date: October 23, 2017 For more videos, pleas
From playlist Mathematics
Calculus - The Fundamental Theorem, Part 5
The Fundamental Theorem of Calculus. How an understanding of an incremental change in area helps lead to the fundamental theorem
From playlist Calculus - The Fundamental Theorem of Calculus
Real Analysis | Showing a function is not uniformly continuous.
We prove a Theorem which allows us to easily show that a function is not uniformly continuous. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph College
From playlist Real Analysis
Differential Equations | Abel's Theorem
We present Abel's Theorem with a proof. http://www.michael-penn.net
From playlist Differential Equations
Inventing Game of Life (John Conway) - Numberphile
John H Conway on the creation of his Game of Life. Conway playlist: http://bit.ly/ConwayNumberphile More at: http://youtu.be/E8kUJL04ELA More links & stuff in full description below ↓↓↓ Including the indirect roles of John von Neumann and Martin Gardner. Support us on Patreon: http://www
From playlist John Conway on Numberphile
We look at some logical statements built from the quantifiers "for all" and "there exists" as well as negations of such statements. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://
From playlist Proof Writing
Xavier Caruso: Ore polynomials and application to coding theory
In the 1930’s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de
From playlist Algebraic and Complex Geometry
Proof of the Fundamental Theorem of Calculus (Part 2)
This video proves the Fundamental Theorem of Calculus (Part 2). http://mathispower4u.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Complexity Theory, Quantified Boolean Formula
Theory of Computation 15. Complexity Theory, Quantified Boolean Formula ADUni
From playlist [Shai Simonson]Theory of Computation
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
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Proved Cook-Levin Theorem: SAT is NP-c
From playlist MIT 18.404J Theory of Computation, Fall 2020
The Fundamental Theorem of Calculus -- Calculus I
This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus I
Exact Controllability for Wave Equation in a Domain With Very Rough Boundary by Umberto De Maio
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)