Additive number theory | Theorems in number theory
In mathematics, specifically additive number theory, Romanov's theorem is a mathematical theorem proved by Nikolai Pavlovich Romanov. It states that given a fixed base b, the set of numbers that are the sum of a prime and a positive integer power of b has a positive lower asymptotic density. (Wikipedia).
Statistics - How to use Chebyshev's Theorem
In this video I cover at little bit of what Chebyshev's theorem says, and how to use it. Remember that Chebyshev's theorem can be used with any distribution, and that it gives a lower proportion of what we can expect in the actual data. ▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬ 0:00 Start 0:04 What is C
From playlist Statistics
In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!
From playlist Real Analysis
Boris Adamczewski: Mahler's method in several variables
Abstract: Any algebraic (resp. linear) relation over the field of rational functions with algebraic coefficients between given analytic functions leads by specialization to algebraic (resp. linear) relations over the field of algebraic numbers between the values of these functions. Number
From playlist Combinatorics
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
The Stepanov Method - Avi Wigderson
Avi Wigderson Institute for Advanced Study May 25, 2010 The Stepanov method is an elementary method for proving bounds on the number of roots of polynomials. At its core is the following idea. To upper bound the number of roots of a polynomial f(x) in a field, one sets up an auxiliary pol
From playlist Mathematics
How to solve Chebyshev's equation
I show how to solve Chebyshev's differential equation via an amazing substitution. The substitution results in forming a new differential equation with constant coefficients.
From playlist Differential equations
In this video, I prove one of the cornerstones of linear algebra: The Linear Extension Theorem, which intuitively says that, in order to define a linear transformation T, you only need to know the values of T on a basis. In other words, if you only know T on a couple of vectors, you can ac
From playlist Linear Transformations
The Rise and Fall of the Romanovs
Russia's Romanov dynasty reigned for 300 years—and ended with the execution of the entire Romanov family in the basement of a merchant's house in Yekaterinburg. The Romanovs didn't survive the Bolshevik Revolution, but their story did. Pack your bags, traveler: We're headed to Russia. Thi
From playlist European History
Who Would Be Tsar of Russia Today? | Romanov Family Tree
Russian Tsars Family Tree | Ivan the Terrible to Nicholas II: https://www.youtube.com/watch?v=OE1Ib9r2ooo CREDITS: ========================= Chart & Narration: Matt Baker https://usefulcharts.com/ Animation: Syawish Rehman https://www.youtube.com/channel/UCf0O2efB4K66UUaT7QJPVNA Audio
From playlist Royal Family Trees
Ben Green: Bob Hough's solution of Erdős's covering congruences conjecture
The lecture was held within the framework of the Hausdorff Trimester Program: Harmonic Analysis and Partial Differential Equations and the Workshop: Analytic Number Theory of the Hausdorff Center for Mathematics 16.07.2014 This video was created and edited with kind support from eCampus
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
The Last Days of the Romanovs | National Geographic
For 300 years the Romanovs ruled Russia as tsars. But as World War I brought Russia to revolution, Tsar Nicholas II and his family were overthrown. During his World Cup tour of Russia, National Geographic reporter Sergey Gordeev visits the Church on the Blood in Yekaterinburg that memorial
From playlist News | National Geographic
Grigori Rasputin - LIES - Extra History
Welcome Extra Historians to Lies, where we talk about the mistakes we made and the details we couldn't quite squeeze into the episode properly. What happened to Rasputin's kids? Did he have massive influence with the Romanov family? And what is the difference between an Emperor and a Czar?
From playlist Extra History (ALL EPISODES)
Who has the best claim to the title of Roman Emperor?
Roman Emperors Family Tree chart: https://usefulcharts.com/products/roman-emperors-family-tree Thanks to all the channels that participated: Stefan Milo: https://www.youtube.com/channel/UCZ9jWH_8tJ-Nmaj8dSQdEYA Al Muqaddimah: https://www.youtube.com/channel/UCf0O2efB4K66UUaT7QJPVNA M.
From playlist Royal Family Trees
The Last Tsar of Russia - Nicholas II I WHO DID WHAT IN WW1?
Nicholas II was the last tsar of Russia and the last ruler of the Romanov dynasty. His reign and his command are considered especially inauspicious today. Everything you need to know about Nicholas II of Russia in our portrait. » HOW CAN I SUPPORT YOUR CHANNEL? You can support us by shar
From playlist Who Did What In WW1?
3 Unsolved Mysteries That Have Been Solved | What the Stuff?!
Join us, and maybe YOU can help solve a mystery... But not these. Lauren will explain. 10 Unsolved Mysteries That Have Been Solved http://science.howstuffworks.com/science-vs-myth/unexplained-phenomena/10-unsolved-mysteries-that-have-been-solved.htm Subscribe http://bit.ly/1AWgeM7 Twitt
From playlist What the Stuff?!
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
History Of The Russian Cossacks Until World War 1 I THE GREAT WAR Special
The Cossacks are surrounded by myths and legends. For some they were the "Tsar's dogs" for others they were more comparable to the cowboys of the Wild West. In any case, their history and culture is unique and is deeply intertwined with the rise and end of the Romanov dynasty. And that's w
From playlist SPECIAL EPISODES - The Great War
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)
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Chebyshev's Theorem - In this video, I state Chebyshev's Theorem and use it in a 'real life' problem.
From playlist All Videos - Part 4
Greatest European Dynasties | Top 10 Countdown
FULL SERIES: Greatest European Dynasties: https://www.youtube.com/watch?v=V-71KyQG7WQ&t=0s Greatest Asian Dynasties: https://www.youtube.com/watch?v=VQ4ctymXvno Greatest African Dynasties: https://www.youtube.com/watch?v=4O3x8jNvZ5g Greatest Ancient Dynasties: https://youtu.be/4KSMHEk72ek
From playlist Royal Family Trees