In mathematics and more precisely in group theory, the commuting probability (also called degree of commutativity or commutativity degree) of a finite group is the probability that two randomly chosen elements commute. It can be used to measure how close to abelian a finite group is. It can be generalized to infinite groups equipped with a suitable probability measure, and can also be generalized to other algebraic structures such as rings. (Wikipedia).
(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
UNIFORM Probability Distribution for Continuous Random Variables (10-2)
The Uniform Distribution models events or intervals that are equally likely to occur, such as the time spent waiting for a shuttle to arrive. The probability equals the area under the graph of f(x); the height of f(x) is a constant. At his private island, Ted runs a shuttle service tenderi
From playlist Continuous Probability Distributions in Statistics (WK 10 - QBA 237)
Learn to find the or probability from a tree diagram
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
How to find the probability between two mutually exclusive events
👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau
From playlist Probability of Mutually Exclusive Events
How to find the probability of consecutive events
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
How to find the probability of mutually exclusive event with a die
👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau
From playlist Probability of Mutually Exclusive Events
Laws of Arithmetic (2 of 3: The Commutative Law)
More resources available at www.misterwootube.com
From playlist Fractions, Decimals and Percentages
Frédéric Patras - Substitutions in non-commutative multivariate power series
We describe a group law on formal power series in non-commuting variables in- duced by their interpretation as linear forms on a Hopf algebra of sentences. We study the corresponding structures and show how they can be used to recast in a group theoretic form various identities and transfo
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Frédéric Patras - Noncommutative Wick Polynomials
Wick polynomials are at the foundations of QFT (they encode normal orderings) and probability (they encode chaos decompositions). In this lecture, we survey the construction and properties of noncommutative (or free) analogs using shuffle Hopf algebra techniques. Based on joint works wit
From playlist Combinatorics and Arithmetic for Physics: special days
Lecture 9 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 9 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded March 10, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern
From playlist Course | Modern Physics: Quantum Mechanics
Matthew Kennedy: Noncommutative convexity
Talk by Matthew Kennedy in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 5, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Camille Male - Distributional symmetry of random matrices...
Camille Male - Distributional symmetry of random matrices and the non commutative notions of independence
From playlist Spectral properties of large random objects - Summer school 2017
Determining if two events are mutually exclusive or not
👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau
From playlist Probability of Mutually Exclusive Events
Piotr Sniady: Representation theory from the random matrix perspective
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In many cases a representation of a group can be viewed as a "random matrix with non-commutative entries". This viewpoint gives a heuristic explanation for many links
From playlist Noncommutative geometry meets topological recursion 2021
Henry Yuen: Testing low-degree polynomials in the noncommutative setting
Talk by Henry Yuen in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/testing-low-degree-polynomials-in-the-noncommutative-setting/ on February 12, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Ever heard of Quantum Operators and Commutators? (Explained for Beginners)!
What is a quantum operator? And just how useful are quantum commutators? Find out how they help us understand the Ehrenfest Theorem! Hi everyone, I'm back with a new video! This time it's the first in a two-part mini-series on one of the coolest theorems in quantum mechanics - Ehrenfest's
From playlist Quantum Physics by Parth G
The Symmetry at the Heart of the Canonical Commutation Relation
The canonical commutator is one of the most fundamental equations of quantum mechanics. But where does it come from? I'll show you how symmetry leads straight to it! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up The canonical commutation relation between
From playlist Hamiltonian Mechanics Sequence
Statistics 5_1 Confidence Intervals
In this lecture explain the meaning of a confidence interval and look at the equation to calculate it.
From playlist Medical Statistics
Random Matrices and Their Limits - R. Speicher - Workshop 2 - CEB T3 2017
Roland Speicher / 26.10.17 Random Matrices and Their Limits The free probability perspective on random matrices is that the large size limit of random matrices is given by some (usually interesting) operators on Hilbert spaces and corresponding operator algebras. The prototypical example
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester