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A walk through a couple of Bayesian inference examples. The blog: http://brohrer.github.io/how_bayesian_inference_works.html ...

This lecture sketches the proof of the Mordell Weil theorem, showing that the group of rational points on an elliptic curve or abelian ...

This is lecture 2 of an online mathematics course on group theory. It describes Cayley's theorem that every abstract group is the ...

This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois ...

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne.

We prove Van Kampen's theorem. The proof is not examinable, but the payoff is that Van Kampen's theorem is the most powerful ...

The Riemann mapping theorem says that any proper simply connected open subset of the complex plane is isomorphic to the ...

We discuss Wilsons theorem that (p-1)! = 1 mod p. The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman ...

Optimization Methods for Machine Learning and Engineering (KIT Winter Term 20/21) Slides and errata are available here: ...

Lecture 4 of the Course on Information Theory, Pattern Recognition, and Neural Networks. Produced by: David MacKay ...

Welcome to 'July 2019 Game Theory' course ! This lecture introduces the concept of a game tree and presents Zermelo's ...

Parts I and II of the fundamental theorem of calculus are prooved and then examples of how to use them.

This video from Game Theory Online (http://www.game-theory-class.org) formally states and proves Arrow's Theorem. It features ...

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward ...

Welcome to 'July 2019 Game Theory' course ! This lecture explores the properties of saddle point equilibria and provides a proof ...

This video is a part of the CECAM school "Teaching the Theory in Density Functional Theory". All lectures of this school are ...

This lecture is part of an online graduate course on Lie groups. We state the Poincare-Birkhoff Witt theorem, which shows that the ...

Econometrics is the application of mathematics and statistics to analyze economic theory or economic phenomena. This subject ...

This lecture covers the Chinese remainder theorem. The textbook is "An introduction to the theory of numbers" by Niven, ...

Lecture 8 of the Course on Information Theory, Pattern Recognition, and Neural Networks. Produced by: David MacKay ...