Banach spaces | Lemmas in analysis

Auerbach's lemma

In mathematics, Auerbach's lemma, named after Herman Auerbach, is a theorem in functional analysis which asserts that a certain property of Euclidean spaces holds for general finite-dimensional normed vector spaces. (Wikipedia).

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Berge's lemma, an animated proof

Berge's lemma is a mathematical theorem in graph theory which states that a matching in a graph is of maximum cardinality if and only if it has no augmenting paths. But what do those terms even mean? And how do we prove Berge's lemma to be true? == CORRECTION: at 7:50, the red text should

From playlist Summer of Math Exposition Youtube Videos

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RIngs 22 Hensel's lemma

This lecture is part of an online course on rings and modules. We continue the previous lecture on complete rings by discussing Hensel's lemma for finding roots of polynomials over p-adic rings or over power series rings. We sketch two proofs, by slowly improving a root one digit at a tim

From playlist Rings and modules

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Proof & Explanation: Gauss's Lemma in Number Theory

Euler's criterion: https://youtu.be/2IBPOI43jek One common proof of quadratic reciprocity uses Gauss's lemma. To understand Gauss's lemma, here we prove how it works using Euler's criterion and the Legendre symbol. Quadratic Residues playlist: https://www.youtube.com/playlist?list=PLug5Z

From playlist Quadratic Residues

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15. Don Quixote, Part II: Chapters XII-XXI

Cervantes' Don Quixote (SPAN 300) González Echevarría starts by reviewing the Spanish baroque concept of desengaño. He proposes that the plot of the Quixote and some of the stories in part two unfold from deceit (engaño) to disillusionment (desengaño). He then turns his attention to Aue

From playlist Cervantes' Don Quixote with Roberto González Echevarría

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13. Don Quixote, Part II: Front Matter and Chapters I-XI

Cervantes' Don Quixote (SPAN 300) The modern novel that develops from the Quixote is essentially a political novel and an urban genre dealing with cities. In Part II there is a sense of the text being written and performed in the present because it incorporates current events, such as t

From playlist Cervantes' Don Quixote with Roberto González Echevarría

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Dan Auerbach - Cherrybomb [Official Audio]

Dan Auerbach's album "Waiting On A Song" is available now on vinyl, CD and digitally. Buy / stream the album here: https://click.ees.link/WaitingOnASong Follow Dan Auerbach: https://www.facebook.com/danauerbachmusic https://twitter.com/danauerbach Follow Easy Eye Sound: https://easyeye

From playlist Summer Time

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Dan Auerbach - Never In My Wildest Dreams [Official Audio]

Dan Auerbach's album "Waiting On A Song" is available now on vinyl, CD and digitally. Buy / stream the album here: https://click.ees.link/WaitingOnASong Follow Dan Auerbach: https://www.facebook.com/danauerbachmusic https://twitter.com/danauerbach Follow Easy Eye Sound: https://easyeye

From playlist Summer Time

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Dan Auerbach - King Of A One Horse Town [Official Music Video]

The official video for "King Of A One Horse Town", from Dan Auerbach's second solo LP "Waiting On A Song"! Directed by Aaron Hymes 'Waiting On A Song,’ available now: https://click.ees.link/WaitingOnASong Follow Dan Auerbach: https://www.facebook.com/danauerbachmusic https://twitter.com

From playlist Summer Time

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Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger

In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some

From playlist Famous Math Problems

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Riemann-Lebesgue Lemma

In this video, I prove the famous Riemann-Lebesgue lemma, which states that the Fourier transform of an integrable function must go to 0 as |z| goes to infinity. This is one of the results where the proof is more important than the theorem, because it's a very classical Lebesgue integral

From playlist Real Analysis

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Our Words, and Theirs: A Reflection on the Historian's Craft Today - Carlo Ginzburg

Public Lecture: Monday, October 3, 2011 "Our Words, and Theirs: A Reflection on the Historian's Craft Today" Carlo Ginzburg, Professor Emeritus, University of California, Los Angeles What is the relationship between the idiom of the observer (historian, anthropologist) and the idiom of

From playlist Public Lectures

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American Pickers: The Black Keys' Dan Auerbach Checks Out a Gretsch Guitar (S13, E8) | History

Dan Auerbach of the Black Keys analyzes the details of a gorgeous old Chet Atkins Gretsch guitar and a Fender Vibroverb amp in this collection of scenes from Season 13, Episode 8,"Red Barn, Black Keys". #AmericanPickers Subscribe for more from American Pickers and other great HISTORY shows

From playlist HISTORY's Top 10 Picks & Pawns | HISTORY

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Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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How To Create Game Server In Visual Basic.Net | Session 04 | #gamedev

Don’t forget to subscribe! In this project series, you will learn to create a game server in Visual Basic.Net If you ever wanted to create your very own MMORPG or Online game and you don't know how to start and you are still a beginner in game development you are at the correct place. In

From playlist Create Game Server In Visual Basic.Net

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The Schwarz Lemma -- Complex Analysis

Part 1 -- The Maximum Principle: https://youtu.be/T_Msrljdtm4 Part 3 -- Liouville's theorem: https://www.youtube.com/watch?v=fLnRDhhzWKQ In today's video, we want to take a look at the Schwarz lemma — this is a monumental result in the subject of one complex variable, and has lead to many

From playlist Complex Analysis

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Linear Algebra Vignette 4a: Fibonacci Numbers - Review Of The Eigenvalue Decomposition

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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The History of Autobiography and Byzantine Literature

This paper was delivered by Stratis Papaioannou at the Byzantine/Modernism Symposium in a panel entitled, "Byzantine Subjectivity in Modernity," which also included a paper by Gayatri Chakravorty Spivak and was chaired by Roland Betancourt. Professor Papaioannou's paper analyzes the (mis-

From playlist Byzantium/Modernism

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Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

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Linear Algebra Vignette 3a: Easy Eigenvalues - Introduction

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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How To SLEEP With Mario!! -- Mind Blow 10

Kevin's Channel - http://www.youtube.com/kevinlieber The Great Gatsby 8Bit Game http://greatgatsbygame.com/ Control TV With Kinect http://www.youtube.com/watch?v=Lq1qf_UgkDo NES Motion Control http://kotaku.com/#!5756270/a-motion-control-master-shows-the-ness-u+force-wasnt-so-u

From playlist MIND BLOW

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Basis (linear algebra) | Approximation theory | Hahn–Banach theorem | Hilbert space | Dual basis | Linear subspace | Functional analysis | Inner product space | Normed vector space | Orthonormal basis | Euclidean space | Joram Lindenstrauss | Triangle inequality | Projection (linear algebra)