Unsolved problems in mathematics | Conjectures
The Brennan conjecture is a mathematical hypothesis (in complex analysis) for estimating (under specified conditions) the integral powers of the moduli of the derivatives of conformal maps into the open unit disk. The conjecture was formulated by James E. Brennan in 1978. Let W be a simply connected open subset of with at least two boundary points in the extended complex plane. Let be a conformal map of W onto the open unit disk. The Brennan conjecture states that whenever . Brennan proved the result when for some constant . Bertilsson proved in 1999 that the result holds when , but the full result remains open. (Wikipedia).
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Proof: A'-B' = B-A (Double Inclusion) | Set Theory
We prove A'-B'=B-A. That is, the complement of A minus the complement of B equals B minus A. We prove this using double inclusion, meaning we prove both sets are subsets of each other, which by definition establishes set equality. This will require basic applications of set theory definiti
From playlist Set Theory
How to Prove Math Theorems | 1st Ex: Even + Odd = Odd
Our first math proof! The main goal of this video is more about the structure of a direct proof than the specific claim, that the sum of an even integer and an odd integer is an odd integer. We will write: 1) The Assumptions 2) Definition of the Assumptions 3) Manipulations 4) Definition
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Ramsey theory is based on Ramsey's theorem, because without it, there would be no Ramsey numbers, since they are not well-defined. This is part 2 of the trilogy of the Ramsey numbers. Useful link: https://en.wikipedia.org/wiki/Ramsey%27s_theorem#2-colour_case Other than commenting on the
From playlist Ramsey trilogy
Understanding and computing the Riemann zeta function
In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f
From playlist Programming
What is the Symmetric Difference of 2 Sets?
What is the symmetric difference of 2 sets? In this video we go over the symmetric difference of sets, explaining it in a couple ways including what is probably the briefest way. The symmetric difference of two sets A and B is (A union B)-(A intersect B). If you need to know what the defin
From playlist Set Theory
Doron Zeilberger: Using symbolic dynamical programming in lattice paths combinatorics
CIRM HYBRID EVENT Recorded during the meeting "Lattice Paths, Combinatorics and Interactions" the June 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Combinatorics
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
Repairing a Huge $500,000 Dozer | Gold Rush: Winter's Fortune
Stream Full Episodes of Gold Rush: Winter's Fortune: discovery+ ► https://www.discoveryplus.com/show/gold-rush-winters-fortune-us #Discovery #GoldRush #GoldRushWintersFortune Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery
From playlist Gold Rush: Winter's Fortune
Brennan Torpedo 1887 (Revised version)
This is the revised 'uncut' version of my earlier Brennan movie. It contains a lot more detail and explanations. Apologies, I should have published it years ago. The Brennan torpedo was the first effective guided weapon. Introduced into service in 1887, the Brennan was launched from a sh
From playlist Torpedoes and Big Guns
In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes. Here's a video on a similar topic by Numberphile if you're interested: https://youtu.be/uvMGZb0Suyc The
From playlist Other Math Videos
Brennan Saves the Day | Gold Rush
With pressure mounting from Parker, Brennan manages to stop a faulty water pump from exploding. Stream Full Episodes of Gold Rush: https://www.discovery.com/tv-shows/gold-rush/ Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Join us on Facebook: https://www.facebook.com/GoldRu
From playlist Gold Rush
Ian Agol, Lecture 3: Applications of Kleinian Groups to 3-Manifold Topology
24th Workshop in Geometric Topology, Calvin College, June 30, 2007
From playlist Ian Agol: 24th Workshop in Geometric Topology
Brennan Beats Rick's Total From Last Year | Gold Rush
Brennan's Big Red season total eclipses Rick's season from last year by 19 ounces. Stream Full Episodes of Gold Rush: https://www.discovery.com/tv-shows/gold-rush/ Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Join us on Facebook: https://www.facebook.com/GoldRush/ https://
From playlist Gold Rush
Parker Nearly Breaks His Own Gold Record | Gold Rush
Despite some setbacks, Parker's team nearly breaks his all-time weekly gold record. Stream Full Episodes of Gold Rush: https://www.discovery.com/tv-shows/gold-rush/ Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Join us on Facebook: https://www.facebook.com/GoldRush/ https://
From playlist Gold Rush
Philippe Michel, Introductory talk on Analytic Number Theory
notes for this talk: https://www.msri.org/workshops/801/schedules/21761/documents/2982/assets/27964 Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017 February 06, 2017 (09:15 AM PST - 10:00 AM PST) Speaker(s): Philippe Michel (École Polytechnique Fédéra
From playlist Number Theory
Rock Truck Falls into 20 Foot Pond! | Gold Rush
Stream Gold Rush on discovery+: https://www.discoveryplus.com/show/gold-rush #Discovery #GoldRush #Gold Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery We're on Instagram! https://instagram.com/Discovery Join Us on Faceb
From playlist Adventure & Exploration
Converse Pythagorean Theorem & Pythagorean Triples
I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profro
From playlist Geometry
Strata Rx 2012: "Unleashing the Power of Medicare Data...", Niall Brennan
Keynote by Niall Brennan, Director for the Policy and Data Analysis Group, Center for Strategic Planning at the Centers for Medicare and Medicaid Services. Niall Brennan Center for Strategic Planning, Centers for Medicare and Medicaid Services Niall Brennan is the Director in the Policy
From playlist Strata Rx