Analytic number theory | Diophantine approximation
In mathematics, a Heilbronn set is an infinite set S of natural numbers for which every real number can be arbitrarily closely approximated by a fraction whose denominator is in S. For any given real number and natural number , it is easy to find the integer such that is closest to . For example, for the real number and we have . If we call the closeness of to the difference between and , the closeness is always less than 1/2 (in our example it is 0.15926...). A collection of numbers is a Heilbronn set if for any we can always find a sequence of values for in the set where the closeness tends to zero. More mathematically let denote the distance from to the nearest integer then is a Heilbronn set if and only if for every real number and every there exists such that . (Wikipedia).
Stirring the Mandelbrot Set: a checkerboard
http://code.google.com/p/mandelstir/
From playlist mandelstir
The Weyl algebra and the Heisenberg Lie algebra
In this video we give a simple teaser into the world of operator algebras. In particular, we talk about the Weyl algebra and compute some expressions that fulfill the property which defines the Heisenberg Lie algebra http://math.uchicago.edu/~may/REU2012/REUPapers/Lingle.pdf https://en.w
From playlist Algebra
Inside the World of Illegal Street Racing in the Caribbean | Short Film Showcase
Cruising down the highway at breakneck speeds, daredevil teenagers in the Dominican Republic are risking their lives to engage in illegal street races. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Short Film Showcase: http://bit.ly/ShortFilmShowcase About Short Film Showcase: Th
From playlist Newest Clips | National Geographic
Heimatlos (1) - eine Dokumentation von Irmgard von zur Mühlen
Menschen auf der Flucht Menschen, die ihre Heimat verlassen mussten Das Schicksal der Vertriebenen aus den ehemals deutschen und von der Wehrmacht besetzten Gebiet. Die Dokumentation thematisiert das heute wieder aktuelle Thema der Heimatlosen; Flucht, Vertreibung und Zwangsumsiedlung vor
From playlist Nachkriegszeit
Ila Varma, Counting quartic number fields and predicting asymptotics
VaNTAGe Seminar, June 14, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Davenport-Heilbronn I: https://doi.org/10.1112/blms/1.3.345 Davenport-Heilbronn II: http://www.math.toronto.edu/~ila/DH2.pdf Wright: https://doi.org/10.1112/plms/s3-58.1.17 Baily: http
From playlist Arithmetic Statistics II
Etienne Fouvry - 4/4 Analytic aspects of Cohen-Lenstra heuristics
Etienne Fouvry - Analytic aspects of Cohen-Lenstra heuristics
From playlist École d'été 2014 - Théorie analytique des nombres
DIRTY SECRETS of WW2: Men of the 10th Armored Division
Interviews with German & American tank commanders and solders explaining the operation in rare mechanized action footage of the siege and liberation of Bastogne city, Belgium.
From playlist Dirty Secrets of WW2
Around the Davenport-Heilbronn Function - Enrico Bombieri
Enrico Bombieri Institute for Advanced Study November 10, 2011 The Davenport-Heilbronn function (introduced by Titchmarsh) is a linear combination of the two L-functions with a complex character mod 5, with a functional equation of L-function type but for which the analogue of the Riemann
From playlist Mathematics
For more information visit: http://bit.ly/28C3_information To download the video visit: http://bit.ly/28C3_videos Playlist 28C3: http://bit.ly/28C3_playlist Speakers: Ray | Stefan 'Sec' Zehl The Hacker Jeopardy is a quiz show. The well known reversed quiz format, but of course h
From playlist 28C3: Behind Enemy Lines (DE vids)
Counting GL2(ℤ)GL2(Z) orbits on binary quartic forms and applications - Arul Shankar
Arul Shankar Princeton University; Member, School of Mathematics October 3, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
For more information visit: http://bit.ly/28C3_information To download the video visit: http://bit.ly/28C3_videos Playlist 28C3: http://bit.ly/28C3_playlist Speakers: Stefan 'Sec' Zehl | Ray The Hacker Jeopardy is a quiz show. The well known reversed quiz format, but of course h
From playlist 28C3: Behind Enemy Lines
British Car Trials on The Autobahn: Tests Such As These | British Pathé
The British Motor Corporation (BMC) demonstrates how they tests their cars (Austin A50, Morris Minor, Morris Oxford) by racing them down the German Autobahn and stopping for a compulsory cup of tea in this remarkable footage from the 1950's. "If you want to know how tough a car's engine is
From playlist British Pathé | Explore the Archive
Should you trust unanimous decisions? - Derek Abbott
View full lesson: http://ed.ted.com/lessons/should-you-trust-unanimous-decisions-derek-abbott Imagine a police lineup where ten witnesses are asked to identify a bank robber they glimpsed fleeing the scene. If six of them pick the same person, there’s a good chance that’s the culprit. And
From playlist New TED-Ed Originals