Galois theory | Number theory | Theorems in algebra

Haran's diamond theorem

In mathematics, the Haran diamond theorem gives a general sufficient condition for a separable extension of a Hilbertian field to be Hilbertian. (Wikipedia).

Haran's diamond theorem
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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Local Correction of Codes and Euclidean Incidence Geometry - Avi Wigderson

Avi Wigderson Institute for Advanced Study March 5, 2012 A classical theorem in Euclidean geometry asserts that if a set of points has the property that every line through two of them contains a third point, then they must all be on the same line. We prove several approximate versions of t

From playlist Mathematics

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The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature

In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932

From playlist Algebra

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Numbery Card Trick - Numberphile

Can Matt implant numbers into Brady's brain - or more likely, is this just a simple card trick? Keep watching to the end! More links & stuff in full description below ↓↓↓ Featuring Matt Parker - http://standupmaths.com/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Face

From playlist Matt Parker (standupmaths) on Numberphile

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Primes and Primitive Sets (an Erdős Conjecture is cracked) - Numberphile

Extra footage at https://youtu.be/-r2agPNx0gA - Featuring Jared Duker Lichtman. More links & stuff in full description below ↓↓↓ A proof of the Erdős primitive set conjecture: https://arxiv.org/abs/2202.02384 More Prime Number videos: https://bit.ly/PrimePlaylist Jared Duker Lichtman:

From playlist Prime Numbers on Numberphile

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Arithmetic Progressions in Primes - Madhur Tulsiani

Madhur Tulsiani Institute for Advanced Study November 24, 2009 I will discuss the Green-Tao proof for existence of arbitrarily long arithmetic progressions in the primes. The focus will primarily be on the parts of the proof which are related to notions in complexity theory. In particular

From playlist Mathematics

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G.Freixas i Montplet - Automorphic forms and arithmetic intersections (part 3)

In these lectures I will focus on the Riemann-Roch theorem in Arakelov geometry, in the specific context of some simple Shimura varieties. For suitable data, the cohomological part of the theorem affords an interpretation in terms of both holomorphic and non-holomorphic modular forms. The

From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes

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Fair Dice (Part 2) - Numberphile

Probability expert Professor Persi Diaconis (Stanford University) talking about dice. More links & stuff in full description below ↓↓↓ Part 1: https://youtu.be/G7zT9MljJ3Y More dice videos: http://bit.ly/Dice_Videos More Persi Diaconi videos: http://bit.ly/Persi_Videos Diaconis/Keller pa

From playlist Persi Diaconis on Numberphile

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69 - The Cayley-Hamilton theorem

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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Six Sequences - Numberphile

Which of these number sequences do you like best? Vote at http://bit.ly/IntegestVote The extra bit of footage is at: http://youtu.be/p-p7ozCnjfU More links & stuff in full description below ↓↓↓ This video features Tony Padilla from the University of Nottingham: https://twitter.com/DrTonyP

From playlist Tony Padilla on Numberphile

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Yellow Diamond - Periodic Table of Videos

The Sun-Drop diamond has sold for a staggering $10.9 million (plus buyer's premium). A world record for a yellow diamond. We discuss a bit of its science with Professor Martyn Poliakoff. More chemistry at http://www.periodicvideos.com/ Follow us on Facebook at http://www.facebook.co

From playlist With Portuguese subtitles (Português) - Periodic Videos

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Useful Diamonds - Periodic Table of Videos

More chemistry at http://www.periodicvideos.com/ Follow us on Facebook at http://www.facebook.com/periodicvideos And on Twitter at http://twitter.com/periodicvideos From the School of Chemistry at The University of Nottingham: http://www.nottingham.ac.uk/chemistry/index.aspx Periodic Vide

From playlist With Portuguese subtitles (Português) - Periodic Videos

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Fifth Root Trick - Numberphile

A neat trick to quickly calculate fifth roots. More links & stuff in full description below ↓↓↓ Featuring Simon Pampena, Australian Numeracy Ambassador. https://twitter.com/mathemaniac Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.

From playlist Numberphile Videos

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Diamonds Uncut

The Professor looks at uncut diamonds of all shapes and sizes. Part 2: Polishing a Pink Mega Diamond - https://youtu.be/YMyPo-MEvMA More links and info in full description ↓↓↓ Filmed at Alrosa's sorting facility in Moscow. Our thanks also to the Russian Foundation for Basic Research. Par

From playlist Deep Look Fave Channels

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The Fields Medal (with Cédric Villani) - Numberphile

Cédric Villani won the Fields Medal in 2010. You can learn more in his excellent book Birth of a Theorem. More links & stuff in full description below ↓↓↓ More videos with Professor Villani coming soon. Charles Fefferman on Numberphile: https://youtu.be/j-dce6QmVAQ Nobel Prize medal: ht

From playlist Cedric Villani on Numberphile

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Alexander Lubotzky - From Ramanujan graphs to Ramanujan complexes

December 17, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. Ramanujan graphs has been defined and constructed in the 80's by Lubotzky-Phillips-Sarnak and by Margulis. In recent years a high dimensional theory of expanders is emer

From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday

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The Best (and Worst) Ways to Shuffle Cards - Numberphile

Persi Diaconis (Stanford University) on card shuffling. See full description for links to additional videos and detailed papers. More links & stuff in full description below ↓↓↓ EXTRAS FROM THIS INTERVIEW --- 1/3: https://youtu.be/1jfm42Qd7Qw --- 2/3: http://youtu.be/c_Hunaf0tWw --- 3/3:

From playlist Director's Cut on Numberphile

Related pages

Hilbert's irreducibility theorem | Mathematics