Regularity lemma and its applications Part I - Fan Wei
Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Prime Numbers and their Mysterious Distribution (Prime Number Theorem)
Primes are the building blocks of math. But just how mysterious are they? Our study of prime numbers dates back to the ancient Greeks who first recognized that certain numbers can't be turned into rectangles, or that they can't be factored into any way. Over the years prime numbers have
From playlist Prime Numbers
How to find prime numbers #shorts
In this short we talk about finding prime numbers. Full video at https://youtu.be/CEyZRhi45pE
From playlist #shorts mathematicsonline
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Problems, Paradoxes, and Sophisms
Prove that there is a prime number between n and n!
A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!
From playlist Elementary Number Theory
Number Theory | Divisibility Basics
We present some basics of divisibility from elementary number theory.
From playlist Divisibility and the Euclidean Algorithm
The Graph Removal Lemma - Jacob Fox
Jacob Fox Massachusetts Institute of Technology November 8, 2010 Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertices with o(nh) copies of H can be made H-free by removing o(n2) edges. We give a new proof which avoids Szemeredi's regularity
From playlist Mathematics
F. Schulze - An introduction to weak mean curvature flow 4 (version temporaire)
It has become clear in recent years that to understand mean curvature flow through singularities it is essential to work with weak solutions to mean curvature flow. We will give a brief introduction to smooth mean curvature flow and then discuss Brakke flows, their basic properties and how
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
F. Schulze - An introduction to weak mean curvature flow 4
It has become clear in recent years that to understand mean curvature flow through singularities it is essential to work with weak solutions to mean curvature flow. We will give a brief introduction to smooth mean curvature flow and then discuss Brakke flows, their basic properties and how
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Commutative algebra 58: System of parameters versus Krull
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We show that the smallest size of a system of parameters of a Noetherian local ring is at most the Krull dimension. The proof
From playlist Commutative algebra
Log Volume Computations - part 0.2 - Total Rings Of Fractions
This is the second part of the prerequisite videos for the log volume computations and is optional for continuing. In this video we explain how to take rings of fractions for reduced but not irreducible rings. We then show that the ring of fractions of a tensor product is the tensor prod
From playlist Log Volume Computations
1,010,010,101,000,011 - #MegaFavNumbers
This is my submission to the #megafavnumbers project. My number is 1010010101000011, which is prime in bases 2, 3, 4, 5, 6 and 10. I've open-sourced my code: https://bitbucket.org/Bip901/multibase-primes Clarification: by "ignoring 1" I mean ignoring base 1, since this number cannot be fo
From playlist MegaFavNumbers
Bipartite perfect matching is in quasi-NC - Fenner
Computer Science/Discrete Mathematics Seminar I Topic: Bipartite perfect matching is in quasi-NC Speaker: Stephen Fenner Date:Monday, February 8 We show that the bipartite perfect matching problem is in quasi 𝖭𝖢2quasi-NC2. That is, it has uniform circuits of quasi-polynomial size and O(
From playlist Mathematics
The Erdos - Ginzburg - Ziv Constant by Wolfgang Schmid
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
(3.1.102) Solve a Basic System of Differential Equations (Substitution)
This video explains how to solve a system of differential equations by differentiating and performing substitution. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Stanley-Wilf limits are typically exponential - Jacob Fox
Jacob Fox Massachusetts Institute of Technology October 7, 2013 For a permutation p, let Sn(p) be the number of permutations on n letters avoiding p. Stanley and Wilf conjectured that, for each permutation p, Sn(p)1/n tends to a finite limit L(p). Marcus and Tardos proved the Stanley-Wilf
From playlist Mathematics
Progress on algorithmic versions of the Lovasz Local Lemma - Aravind Srinivasan
Aravind Srinivasan University of Maryland, College Park April 7, 2014 There has been substantial progress on algorithmic versions and generalizations of the Lovasz Local Lemma recently, with some of the main ideas getting simplified as well. I will survey some of the main ideas of Moser &
From playlist Mathematics
Press ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
In this video, I find a couple of solutions of the differential equation f' = fffffffffffffffffffffffffffffff... Some of them are not surprising, but one of them is really surprising!!! Can you find other solutions? Let me know in the comments! Enjoy! Subscribe to my channel: https://www
From playlist Random fun
Hugo Duminil-Copin - 3/4 The Self-Avoiding Walk Model
The course will focus on rigorous results for the self-avoiding walk model on lattices, with a special emphasis on low-dimensional ones. The model is defined by choosing uniformly at random among random walk paths starting from the origin and without self-intersections. Despite its simple
From playlist Hugo Duminil-Copin - The Self-Avoiding Walk Model