Theorems about prime numbers | Sieve theory
In number theory, Brun's theorem states that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a finite value known as Brun's constant, usually denoted by B2 (sequence in the OEIS). Brun's theorem was proved by Viggo Brun in 1919, and it has historical importance in the introduction of sieve methods. (Wikipedia).
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
More periodic oscillations in a modified Brusselator
This is a longer version of the video https://youtu.be/mRcN-4kzGFY , with a different coloring of molecules, to make the oscillations more visible. The Brusselator model was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles, to describe an oscillating a
From playlist Molecular dynamics
John Friedlander - Selberg and the sieve: a positive approach [2008]
The Mathematical Interests of Peter Borwein: "Selberg and the sieve: a positive approach" Date: Friday, May 16, 2008 Time: 09:00 - 10:15 Location: Rm10900 John Friedlander (University of Toronto) Abstract: We survey the contributions of Atle Selberg to Sieve Methods. The talk is intende
From playlist Number Theory
CTNT 2020 - Sieves (by Brandon Alberts) - Lecture 5
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Sieves (by Brandon Alberts)
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
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
Kannan Soundararajan - 4/4 L-functions
Kannan Soundararajan - L-functions
From playlist École d'été 2014 - Théorie analytique des nombres
Emanuel Milman: 1 D Localization part 4
The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis
From playlist HIM Lectures 2015
CTNT 2020 - Sieves (by Brandon Alberts) - Lecture 3
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Sieves (by Brandon Alberts)
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Additive Number Theory: Extremal Problems and the Combinatorics.... (Lecture 1) by M. Nathanson
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
Vigée Le Brun, Madame Perregaux
Élisabeth-Louise Vigée Le Brun, Madame Perregaux, 1789, oil on oak panel, 99.6 x 78.5 cm (Wallace Collection, London) Speakers: Dr. Beth Harris, Dr. Steven Zucker. Created by Beth Harris and Steven Zucker.
From playlist Baroque to Neoclassical art in Europe | Art History | Khan Academy
Über das Leben Felix Hausdorffs
Leben und Werk von Felix Hausdorff stellten am Aktionstag Mathematik Dr. Michael Meier, ehem. Geschäftsführer des Hausdorff Centers, und Pascal Lamy, Absolvent der Mathematik und der Geschichtswissenschaft, im Herbst 2018 vor. Den Namen des Mathematikers, Literaten und Philosophen trägt he
From playlist Hausdorff Center goes public
The Boneyard: The Chilling Discovery of Leonard Thomas Lake's Crimes | Real Stories
The Boneyard: The Horrible Story of Leonard Lake | Real Stories The true crime story of American serial killer Leonard Thomas Lake and his accomplice Charles Ng. The documentary starts with the cyanide poisoning suicide of Lake, the ensuing investigation, and the horrors that were discove
From playlist True Crime Stories
Euler-Lagrange equation explained intuitively - Lagrangian Mechanics
Lagrangian Mechanics from Newton to Quantum Field Theory. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
The Generalized Ramanujan Conjectures and Applications (Lecture 2) by Peter Sarnak
Lecture 2: Thin Groups and Expansion Abstract: Infinite index subgroups of matrix groups like SL(n,Z) which are Zariski dense in SL(n), arise in many geometric and diophantine problems (eg as reflection groups,groups connected with elementary geometry such as integral apollonian packings,
From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak