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)
Quadratic Goldreich-Levin Theorems - Madhur Tulsiani
Madhur Tulsiani Member, School of Mathematics April 26, 2011 Decompositions in theorems in classical Fourier analysis which decompose a function into large Fourier coefficients and a part that is pseudorandom with respect to (has small correlation with) linear functions. The Goldreich-Levi
From playlist Mathematics
MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.04 Quantum Physics I, Spring 2016
Differential Equations | Application of Abel's Theorem Example 2
We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net
From playlist Differential Equations
Mod-02 Lec-09 Analysis Continued
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
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)
Kannan Soundararajan - Selberg's Contributions to the Theory of Riemann Zeta Function [2008]
http://www.ams.org/notices/200906/rtx090600692p-corrected.pdf January 11, 2008 3:00 PM Peter Goddard, Director Welcome Kannan Soundararajan Selberg's Contributions to the Theory of Riemann Zeta Function and Dirichlet L-Functions Atle Selberg Memorial Memorial Program in Honor of His
From playlist Number Theory
Divergence Theorem. In this video, I give an example of the divergence theorem, also known as the Gauss-Green theorem, which helps us simplify surface integrals tremendously. It's, in my opinion, the most important theorem in multivariable calculus. It is also extremely useful in physics,
From playlist Vector Calculus
The Field With One Element and The Riemann Hypothesis (Full Video)
A crash course of Deninger's program to prove the Riemann Hypothesis using a cohomological interpretation of the Riemann Zeta Function. You can Deninger talk about this in more detail here: http://swc.math.arizona.edu/dls/ Leave some comments!
From playlist Riemann Hypothesis
What is the remainder theorem for polynomials
👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when a polynomial is divided by a linear expression of th
From playlist Remainder and Factor Theorem | Learn About
Simple zeros of L-functions - Alexandre Perozim de Faveri
Short Talks by Postdoctoral Members Topic: Simple zeros of L-functions Speaker: Alexandre Perozim de Faveri Affiliation: Member, School of Mathematics Date: September 22, 2022
From playlist Mathematics
Oona A. Hathaway: Foundations of Modern International Law
Oona A. Hathaway is the Gerard C. and Bernice Latrobe Smith Professor of International Law at the Yale Law School. Her current research focuses on the foundations of modern international law, the intersection of U.S. constitutional law and international law, the enforcement of internationa
From playlist The MacMillan Report
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
James Levinsohn: Jackson Institute for Global Affairs
As the Jackson Institute's first director, Professor Levinsohn, brings a wealth of international experience to that post. His fields of interest include international economics, industrial organization, economic development and applied econometrics. Recently, he has studied the impact of H
From playlist The MacMillan Report
What gives a dollar bill its value? - Doug Levinson
View full lesson: http://ed.ted.com/lessons/what-gives-a-dollar-bill-its-value-doug-levinson The value of money is determined by how much (or how little) of it is in circulation. But who makes that decision, and how does their choice affect the economy at large? Doug Levinson takes a trip
From playlist More money more problems
How to Spot a (Potential) Fasc!st
An introduction to The Authoritarian Personality study. Timestamps: 0:00 Fascisticus Potentialicus 01:51 Introduction 05:07 Defining Fascism / Ur-Fascism 07:03 Antisemitism and Ethnocentrism 11:31 Fascism, Conservatism and Religion 16:09 The Authoritarian Personality 23:18 Conclusions T
From playlist Prob and Stats
The Guts and Glory of Object Conservation - Shelf Life #15
In the Museum’s Objects Conservation Laboratory, walrus intestines, birch bark, and reindeer hide are all in a day’s work for conservators trying to preserve Siberian anthropology collections for the future. Check out our 360 video about the Jesup North Pacific Expedition: https://www.
From playlist Shelf Life Season 2
The Divergence Theorem, a visual explanation
This video talks about the divergence theorem, one of the fundamental theorems of multivariable calculus. The divergence theorem relates a flux integral to a triple integral. Green's Theorem: https://youtu.be/8SwKD5_VL5o Line Integrals: https://youtu.be/dnGDmZynvYY Follow Me! https://i
From playlist Multivariable Calculus
Complex Variables by Francis J. Flanigan
This is Complex Variables by Francis Flanigan. This math book is pretty good all around. It's also very affordable as it is a paperback reprint by Dover. Here it is https://amzn.to/3mIJQiq Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my
From playlist Book Reviews
Differential Equations | Abel's Theorem
We present Abel's Theorem with a proof. http://www.michael-penn.net
From playlist Differential Equations