Matrix Theory: Let A be an nxn matrix with complex entries. We show that the commutant of A has dimension greater than or equal to n. The key step is to show the result for the Jordan canonical form of A.
From playlist Matrix 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
What is a Commutator? | Harmonic Oscillator
And why do we need commutation relations? #QuantumMechanics 🍿 Follow Us [Instagram] @prettymuchvideo If you want to help us get rid of ads on YouTube, you can support us on Patreon! https://www.patreon.com/prettymuchphysics
From playlist Quantum Mechanics, Quantum Field Theory
What is General Relativity? Lesson 42: Commutator in Curved Spacetime
What is General Relativity? Lesson 42: Commutator in Curved Spacetime We continue to dig into the concept of the commutator of vector fields in order to prepare ourselves to appreciate the nature of the curvature tensor. Please consider supporting this channel via Patreon: https://www.
From playlist What is General Relativity?
EDIT: At 11:50, r^2(l-k) should be r^2l. At 14:05, index for top one should be n-2, not 2n-2. Abstract Algebra: We define the commutator subgroup for a group G and the corresponding quotient group, the abelianization of G. The main example is the dihedral group, which splits into tw
From playlist Abstract Algebra
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
Laws of Arithmetic (2 of 3: The Commutative Law)
More resources available at www.misterwootube.com
From playlist Fractions, Decimals and Percentages
5B Commutative Law of Matrix Multiplication-YouTube sharing.mov
A closer look at three examples of the Commutative Law of Matrix Multiplication.
From playlist Linear Algebra
Commutative algebra 53: Dimension Introductory survey
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We give an introductory survey of many different ways of defining dimension. Reading: Section Exercises:
From playlist Commutative algebra
Non-commutative rank - Visu Makam
Computer Science/Discrete Mathematics Seminar II Topic: Non-commutative rank Speaker: Visu Makam Affiliation: University of Michigan; Member, School of Mathematics Date: February 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Branimir Cacic:A reconstruction theorem for ConnesLandi deformations of commutative spectral tripels
We give an extension of Connes's reconstruction theorem for commutative spectral triples to so-called Connes—Landi or isospectral deformations of commutative spectral triples along the action of a compact Abelian Lie group G. We do so by proposing an abstract definition for such spectral t
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Commutative algebra 1 (Introduction)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. https://link.springer.com/book/10.1007/978-1-4612-5350-1 This is a short introductory lecture, and gives a few examples of the
From playlist Commutative algebra
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)
Dan-Virgil Voiculescu: Around the Quasicentral Modulus
Talk by Dan-Virgil Voiculescu in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/tba-9/ on March 26, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Why There's 'No' Quintic Formula (proof without Galois theory)
Feel free to skip to 10:28 to see how to develop Vladimir Arnold's amazingly beautiful argument for the non-existence of a general algebraic formula for solving quintic equations! This result, known as the Abel-Ruffini theorem, is usually proved by Galois theory, which is hard and not very
From playlist Summer of Math Exposition Youtube Videos
Clemency (s13b) Some death sentences are commuted to life imprisonment or another sentence. This segment examines the power of the executive in exercising the commutation power and the factors that often influence the clemency decision. Class readings: https://www.dropbox.com/sh/s7rcjz1
From playlist Capital Punishment: Race, Poverty, & Disadvantage with Stephen Bright
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
What is General Relativity? Lesson 41: The Commutator in Flat Space
What is General Relativity? Lesson 41: The Commutator in Flat Space We dig into the concept of the commutator of vector fields in order to prepare ourselves to appreciate the nature of the curvature tensor. Please consider supporting this channel via Patreon: https://www.patreon.com/XYL
From playlist What is General Relativity?
Ch 10: What's the commutator and the uncertainty principle? | Maths of Quantum Mechanics
Hello! This is the tenth chapter in my series "Maths of Quantum Mechanics." In this episode, we'll define the commutator, and we'll derive how commuting observables share a simultaneous eigenbasis. We'll then dive into how non-commutation necessarily leads to uncertainty relations in quan
From playlist Maths of Quantum Mechanics