In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!
From playlist Real Analysis
Kolmogorov Complexity - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Randomness and Kolmogorov Complexity
What does it mean for something to be "random"? We might have an intuitive idea for what randomness looks like, but can we be a bit more precise about our definition for what we would consider to be random? It turns out there are multiple definitions for what's random and what isn't, but a
From playlist Spanning Tree's Most Recent
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Why do we have to flip the sign when we divide or multiply by negative one - Cool Math
👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i
From playlist Solve and Graph Inequalities | Learn About
Nexus Trimester - Andrei Romashchenko (LIRMM)
On Parallels Between Shannon’s and Kolmogorov’s Information Theories (where the parallelism fails and why) Andrei Romashchenko (LIRMM) February 02, 2016 Abstract: Two versions of information theory - the theory of Shannon's entropy and the theory of Kolmgorov complexity - have manifest
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Clément Mouhot: Quantitative De Giorgi methods in kinetic theory
CIRM VIRTUAL EVENT Recorded during the meeting "Kinetic Equations: from Modeling, Computation to Analysis" the March 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide m
From playlist Virtual Conference
Nexus Trimester - Alexander Shen (LIRMM, Montpellier) 2/2
Different versions of Kolmogorov complexity and a priori probability: a gentle introduction Alexander Shen (LIRMM, Montpellier) February 01, 2016 Abstract: The informal idea – the complexity is the minimal number of bits needed to describe the object – has several different implementatio
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Ramon van Handel: The mysterious extremals of the Alexandrov-Fenchel inequality
The Alexandrov-Fenchel inequality is a far-reaching generalization of the classical isoperimetric inequality to arbitrary mixed volumes. It is one of the central results in convex geometry, and has deep connections with other areas of mathematics. The characterization of its extremal bodie
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
The Large-Scale Dynamics of Flows: Facts and Proofs from 1D Burgers to 3D Euler/NS by Uriel Frisch
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la CĂ´te d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
The Difference Between a Linear Equation and Linear Inequality (Two Variables)
This video explains the difference between a linear equation and linear inequality in two variables.
From playlist Solving Linear Inequalities in Two Variables
Statistical Properties of the Navier-Stokes-Voigt Model by Edriss S. Titi
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la CĂ´te d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
24. Martingales: Stopping and Converging
MIT 6.262 Discrete Stochastic Processes, Spring 2011 View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011
Local Dissipation of Energy for Continuous Incompressible Euler Flows - Philip Isett
Workshop on Recent developments in incompressible fluid dynamics Topic: Local Dissipation of Energy for Continuous Incompressible Euler Flows Speaker: Philip Isett Affiliation: University of Texas, Austin Date: April 04, 2022 I will discuss the construction of continuous solutions to th
From playlist Mathematics
Wild Weak Solutions to Equations arising in Hydrodynamics - 1/6 - Vlad Vicol
In this course, we will discuss the use of convex integration to construct wild weak solutions in the context of the Euler and Navier-Stokes equations. In particular, we will outline the resolution of Onsager's conjecture as well as the recent proof of non-uniqueness of weak solutions to t
From playlist Hadamard Lectures 2020 - Vlad Vicol and - Wild Weak Solutions to Equations arising in Hydrodynamics
8ECM Invited Lecture: Albert Cohen
From playlist 8ECM Invited Lectures
How to solve and graph one variable inequalities
👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i
From playlist Solve and Graph Inequalities | Learn About
Summary for solving one variable inequalities
👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i
From playlist Solve and Graph Inequalities | Learn About
Gregory Margulis: Kolmogorov-Sinai entropy and homogeneous dynamics
Abstract: Homogeneous dynamics is another name for flows on homogeneous spaces. It was realized during last the 30–40 years that such dynamics have many applications to certain problems in number theory and Diophantine approximation. In my talk I will describe some of these applications a
From playlist Gregory Margulis