Well-Ordering and Induction: Part 1
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I prove the equivalence of the principle of mathematical induction and the well-ordering principle.
From playlist Well Ordering and Induction
Discrete Math - 5.2.1 The Well-Ordering Principle and Strong Induction
In this video we introduce the well-ordering principle and look and one proof by strong induction. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
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)
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
EEVblog #1063 - Weller WE1010 vs Hakko FX888D Soldering Station
Review of two $100 class soldering stations. Can the new Weller WE1010 beat the venerable Hakko FX888D? https://kit.com/EEVblog/soldering-equipment Forum: http://www.eevblog.com/forum/blog/eevblog-1063-weller-we1010-vs-hakko-fx888d-soldering-station/ EEVblog Main Web Site: http://www.eev
From playlist Product Reviews & Teardowns
EEVblog #1160 - Weller Responds!
Weller responds to the magic smoke escaping from their WE1010 soldering station, and the lack of a primary side mains fuse. Prepare to be awestruck at their commitment to safety! The Current Source tears down a Weller WEP51 iron: https://www.youtube.com/watch?v=qo6B1aYUffE Even the world
From playlist Product Reviews & Teardowns
Zorn's Lemma, The Well-Ordering Theorem, and Undefinability (Version 2.0)
Zorn's Lemma and The Well-ordering Theorem are seemingly straightforward statements, but they give incredibly mind-bending results. Orderings, Hasse Diagrams, and the Ordinals / set theory will come up in this video as tools to get a better view of where the "proof" of Zorn's lemma comes f
From playlist The New CHALKboard
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Title: Linear Differential Equations and Groups Defined by Difference Equations
From playlist Spring 2016
Tested in 2015: Patrick Norton's Favorite Things!
At the end of the year, we want to share with you our favorite things we found and used in 2015. Our senior tech correspondent Patrick Norton stops by to share some awesome gear: his favorite soldering station, a fantastic PC upgrade, and life-changing amp and headphone combo. Hakko FX-8
From playlist Staff Favorites
EEVblog #1065 - Soldering Iron Power Delivery Explained
A further clarification to the previous video on the Hakko FX-888D vs the JBC direct heat CD-2B soldering station. And the differences between applied power, tip design, sensor design, control loop design, and power delivery to a ground plane. Power measurements and DaveCAD explanations.
From playlist Soldering
Automorphy for coherent cohomology of Shimura varieties - Jun Su
Joint IAS/Princeton University Number Theory Seminar Topic: Automorphy for coherent cohomology of Shimura varieties Speaker: Jun Su Affiliation: Princeton University Date: December 5, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
A road to the infinities: Some topics in set theory by Sujata Ghosh
PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.
From playlist Summer School for Women in Mathematics and Statistics 2019
Claude Dallas: The Killer Cowboy | Real Stories True Crime Documentary
FBI agents hunt self-styled mountain man Claude Dallas in the wilds of Idaho. A man who felt rules did not apply to him frequently ran afoul of the law without great consequence. But when he ended two game wardens the FBI launched a full-scale manhunt. Then again when he escaped from priso
From playlist True Crime Stories
My Favorite Theorem: The Borsuk-Ulam Theorem
Many thanks for 10k subscribers! Fun video for you from Topology: The Borsuk-Ulam Theorem. One interpretation of this is that on the surface of the earth, there must be some point where it and its antipode (the spot exactly opposite it) have the exact same temperature and pressure. More ge
From playlist Cool Math Series
Serge Cantat - Random foldings of pentagons
Start with a pentagon in the euclidean plane, and consider the space of all pentagons with the same side lengths up to euclidean motion. This space is the real part of some K3 surface. Folding the pentagons along their diagonals, one obtains involutive automorphism of this K3 surface. I wi
From playlist Geometry in non-positive curvature and Kähler groups
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Giray Ökten: Number sequences for simulation - lecture 2
After an overview of some approaches to define random sequences, we will discuss pseudorandom sequences and low-discrepancy sequences. Applications to numerical integration, Koksma-Hlawka inequality, and Niederreiter’s uniform point sets will be discussed. We will then present randomized q
From playlist Probability and Statistics
The Devil's Staircase | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Find out why Cantor’s Function is nicknamed the Devil’s Staircase. Try Skillshare at http://skl.sh/Infinite2 And check out the brand new PBS Digital Series Above the No
From playlist An Infinite Playlist
Brill-Noether part 4: Noether's Theorem
From playlist Brill-Noether