Finite groups

Commuting probability

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).

Video thumbnail

(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

Video thumbnail

Permutations

http://mathispower4u.yolasite.com

From playlist Counting and Probability

Video thumbnail

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)

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Laws of Arithmetic (2 of 3: The Commutative Law)

More resources available at www.misterwootube.com

From playlist Fractions, Decimals and Percentages

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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)

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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)

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Related pages

Simple group | Haar measure | Algebraic structure | Finite ring | Dihedral group | Commutative property | Alternating group | Probability measure | Probability | Discrete uniform distribution | Group theory | Conjugacy class | Ring (mathematics) | Abelian group | Finite group | Compact group