Measure Theory 2.1 : Lebesgue Outer Measure
In this video, I introduce the Lebesgue outer measure, and prove that it is, in fact, an outer measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Measure Theory 2.2 : Lebesgue Measure of the Intervals
In this video, I prove that the Lebesgue measure of [a, b] is equal to the Lebesgue measure of (a, b) is equal to b - a. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
In this video, I present an overview (without proofs) of the Lebesgue integral, which is a more general way of integrating a function. If you'd like to see proods of the statements, I recommend you look at fematika's channel, where he gives a more detailed look of the Lebesgue integral. In
From playlist Real Analysis
Measure Theory 2.3 : Open and Closed Inervals are Lebesgue Measurable
In this video, I prove that the open and closed intervals (a, b) and [a, b] (as well as [a, b) and (a, b]) are in fact Lebesgue measurable, and thus validating the previous video in this series. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Measure Theory 3.1 : Lebesgue Integral
In this video, I define the Lebesgue Integral, and give an intuition for such a definition. I also introduce indicator functions, simple functions, and measurable functions.
From playlist Measure Theory
Measure Theory 3.3 : Riemann Integral Equals Lebesgue Integral
In this video, I describe a new way of defining the Riemann Integral, and use that to prove that the Riemann and Lebesgue Integrals are the same for Riemann Integrable functions. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
(PP 1.5) Measure theory: Basic Properties of Measures
(0:00) Lebesgue measure. (4:33) Basic Properties of Measures: Monotonicity, Subadditivity. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not intereste
From playlist Probability Theory
Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (9 of 23) What is the Gas Constant?
Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain what is the gas constant and how it was determined. Next video in this series can be seen at: https://youtu.be/8N8TN0L5xiQ
From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS
Optimal shape and location of sensors or actuators in PDE models – Emmanuel Trélat – ICM2018
Control Theory and Optimization Invited Lecture 16.1 Optimal shape and location of sensors or actuators in PDE models Emmanuel Trélat Abstract: We report on a series of works done in collaboration with Y. Privat and E. Zuazua, concerning the problem of optimizing the shape and location o
From playlist Control Theory and Optimization
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Voiculescu
Dan Voiculescu (UC Berkeley) / 15.09.17 Title: The Macaev operator norm, entropy and supramenability. Abstract: On the (p,1) Lorentz scale of normed ideals of compact operators, the Macaev ideal is the end at infinity. From a perturbation point of view the Macaev ideal is related to ent
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Marek Biskup: Extreme points of two dimensional discrete Gaussian free field (part 4)
Recent years have witnessed a lot of progress in the understanding of the two-dimensional Discrete Gaussian Free Field (DGFF). In my lectures I will discuss the asymptotic law of the extreme point process for the DGFF on lattice approximations of bounded open sets in the complex plane with
From playlist HIM Lectures 2015
Mokshay Madiman : Minicourse on information-theoretic geometry of metric measure
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Geometry
Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)
In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex
From playlist École d’été 2013 - Théorie des nombres et dynamique
Lyapunov exponents for small random perturbations… - Alex Blumenthal
Symplectic Dynamics/Geometry Seminar Topic: Lyapunov exponents for small random perturbations of predominantly hyperbolic two dimensional volume-preserving diffeomorphisms, including the Standard Map Speaker: Alex Blumenthal Affiliation: University of Maryland Date: November 19, 2018 For
From playlist Mathematics
Measure Theory 2.4 : Sets of Measure Zero
In this video, I introduce the Cantor Set, and prove that it and countable sets (including the rationals) have measure zero. Email : fematikaqna@gmail.com Subreddit : reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
V. Franceschi - Sub-riemannian soap bubbles
The aim of this seminar is to present some results about minimal bubble clusters in some sub-Riemannian spaces. This amounts to finding the best configuration of m ∈ N regions in a manifold enclosing given volumes, in order to minimize their total perimeter. In a n-dimensional sub-Riemanni
From playlist Journées Sous-Riemanniennes 2018
GPDE Workshop - External doubly stochastic measures and optimal transportation
Robert McCann University of Toronto February 23, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
If a system is at equilibrium, and we do something to it, it will shift in a particular way. It is quite easy to predict the behavior of equilibria if we know about Le Chatelier's principle and three simple situations! Watch the whole General Chemistry playlist: http://bit.ly/ProfDaveGenC
From playlist General Chemistry
Measure Theory - Part 6 - Lebesgue integral
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From playlist Measure Theory