You might find that for certain groups, the commutative property hold. In this video we will assume the existence of such a group and prove a few properties that it may have, by way of some example problems.
From playlist Abstract algebra
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
The Definition of a Linear Equation in Two Variables
This video defines a linear equation in to variables and provides examples of the different forms of linear equations. http://mathispower4u.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
When Does Exponentiation Commute? (Part 1)
In this video, I'll show how one can find pairs of numbers that can be commuted under exponentiation. That is, we can find pairs of numbers such that x^y = y^x. We will take this equation, x^y = y^x and parametrize it to find these (x,y) pairs. It turns out that there are infinitely many n
From playlist Math
Exact First Order Differential Equations - Part 1
This video defines an exact first-order differential equation and then provides an example of how to solve a exact differential equation. Video Library: http://mathispower4u.com Search by Topic: http://mathispower4u.wordpress.com
From playlist Differential Equations: Exact First Order Differential Equations
Set Theory (Part 20): The Complex Numbers are Uncountably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will establish a bijection between the complex numbers and the real numbers, showing that the complex numbers are also uncountably infinite. This will eventually mean that the cardinal
From playlist Set Theory by Mathoma
Beatriz Seoane: Biased Monte Carlo sampling in RBMs
HYBRID EVENT Recorded during the meeting "On Future Synergies for Stochastic and Learning Algorithms" the September 30, 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 Probability and Statistics
Mod-05 Lec-24 General System and Diagonalizability
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Kirone Mallick - Integrability and non-equilibrium statistical physics
During the last twenty years, a large number of exact solutions have been derived for some non-equilibrium interacting systems, such as the exclusion process, leading us to a better understanding of non-equilibrium behaviour. Integrability has played an important role in these developments
From playlist 6e Séminaire Itzykson : "Physique statistique hors équilibre"
Nevanlinna Prize Lecture: Equilibria and fixed points — Constantinos Daskalakis — ICM2018
Equilibria, fixed points, and computational complexity Constantinos Daskalakis Abstract: The concept of equilibrium, in its various forms, has played a central role in the development of Game Theory and Economics. The mathematical properties and computational complexity of equilibria are
From playlist Special / Prizes Lectures
Kousha Etessami: The complexity of computing a quasi perfect equilibrium for n player extensive form
We study the complexity of computing/approximating several classic refinements of Nash equilibrium for n-player extensive form games of perfect recall EFGPR, including perfect, quasi-perfect, and sequential equilibrium. We show that, for all of these refinements, approximating one such equ
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Kirone Mallick - Bethe Ansatz technique and application (4)
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - V DATES: Monday 31 Mar, 2014 - Saturday 12 Apr, 2014 VENUE: Raman Research Institute, Bangalore PROGRAM LINK: http://www.icts.res.in/program/BSSP2014 This advanced level school was started in 2010 at the Raman Research Institute, Banga
From playlist Bangalore School on Statistical Physics - V
Multi-mode Correlations in Turbulence by Gregory Falkovich
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE: 16 January 2023 to 27 January 2023 VENUE: Ramanuja
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
Algorithmic Game Theory by Siddharth Barman
Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f
From playlist Summer Research Program On Dynamics Of Complex Systems 2019
Nonequilibrium response theory (Lecture 2) by Christian Maes
PROGRAM : FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS: THEORY AND APPLICATIONS ORGANIZERS : Urna Basu and Anupam Kundu DATE : 09 March 2020 to 19 March 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore THIS PROGRAM HAS BEEN MODIFIED ONLY FOR LOCAL (BANGALORE) PARTICIPANTS DUE TO COVID-19 RI
From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications
Communication complexity of approximate Nash equilibria - Aviad Rubinstein
Computer Science/Discrete Mathematics Seminar Topic:Communication complexity of approximate Nash equilibria Speaker: Aviad Rubinstein Affiliation: University of California, Berkeley Date: October 31, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
(PP 6.5) Affine property, Constructing Gaussians, and Sphering
Any affine transformation of a (multivariate) Gaussian random variable is (multivariate) Gaussian. How to construct any (multivariate) Gaussian using an affine transformation of standard normals. How to "sphere" a Gaussian, i.e. transform it into a vector of independent standard normals.
From playlist Probability Theory