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
A Tour Of The Lagrange Points. Part 1 - Past And Future Missions To L1
Thanks to gravity, there are places across the Solar System which are nicely balanced. They’re called Lagrange Points and they give us the perfect vantage points for a range of spacecraft missions, from observing the Sun to studying asteroids, and more. Various spacecraft have already vis
From playlist Guide to Space
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
What Are The Lagrange Points? Finding Stable Points in Space
There are places in the Solar System where the forces of gravity balance out perfectly. Places we can use to position satellites, space telescopes and even colonies to establish our exploration of the Solar System. These are the Lagrange Points. Support us at: http://www.patreon.com/unive
From playlist Gravity
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
Distance point and plane the Lagrange way
In this video, I derive the formula for the distance between a point and a plane, but this time using Lagrange multipliers. This not only gives us a neater way of solving the problem, but also gives another illustration of the method of Lagrange multipliers. Enjoy! Note: Check out this vi
From playlist Partial Derivatives
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
Langrange Points and Lissajous Orbit - Universe Sandbox 2/Space Engine
Patreon page: https://www.patreon.com/user?u=2318196&ty=h Hello and welcome to What Da Math! In this video, we will talk about the Lagrange points and why they are important for NASA. I will also show you the math behind it and give you an example of where L1 Lagrange point are in our so
From playlist Universe Sandbox 2
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
Hyperbolicity and Physical Measures (Lecture 1) by Stefano Luzzatto
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
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
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
Observable events" and "typical trajectories" in...dynamical systems - Lai-Sang Young
Analysis Seminar Topic: Observable events" and "typical trajectories" in finite and infinite dimensional dynamical systems Speaker: Lai-Sang Young Affiliation: New York University; Distinguished Visiting Professor, School of Mathematics and Natural Sciences Date: February 24, 2020 For mo
From playlist Mathematics
Lec 8 | MIT 6.450 Principles of Digital Communications I, Fall 2006
Lecture 8: Measure, fourier series, and fourier transforms View the complete course at: http://ocw.mit.edu/6-450F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.450 Principles of Digital Communications, I Fall 2006
Real Analysis - Eva Sincich - Lecture 01
From playlist Machine learning
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE