Combinatorial group theory | P-groups
In group theory, a branch of mathematics, the commutator collecting process is a method for writing an element of a group as a product of generators and their higher commutators arranged in a certain order. The commutator collecting process was introduced by Philip Hall in 1934 and articulated by Wilhelm Magnus in 1937. The process is sometimes called a "collection process". The process can be generalized to define a totally ordered subset of a free non-associative algebra, that is, a free magma; this subset is called the Hall set. Members of the Hall set are binary trees; these can be placed in one-to-one correspondence with words, these being called the Hall words; the Lyndon words are a special case. Hall sets are used to construct a basis for a free Lie algebra, entirely analogously to the commutator collecting process. Hall words also provide a unique factorization of monoids. (Wikipedia).
Collecting the Spikes Railroad Maintenance (Part 3/14)
When the spikes have been removed from the ties it is time to collect the old rusted spikes. The collecting machine has two huge magnetic wheels moving on the tracks. When the magnetic wheel comes close to a removed spike, the spike is attracted to the wheel with a magnetic force and star
From playlist Railroad Track Maintanance
Using Multipliers to Solve a System of Equations Using Elimination
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Hard
Function Comparision - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
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
Using two multipliers when solving a system of equations using the addition method
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Hard
Collecting the worn out ties. Railroad Maintenance (Part 6/14)
Collecting of the worn out ties require a machine consisting of three parts. At the center there is an excavator like machine, and at the both end of it there are collection platforms. While excavator operator collect the worn out ties on one platform, another operator bundles the collect
From playlist Railroad Track Maintanance
Solve a system of equation when they are the same line
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
How to Solve a System of Equation Using Elimination
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Hard
Chelsea Walton, "An Invitation to Noncommutative Algebra," the 2021 NAM Claytor-Woodard Lecture
Chelsea Walton, Rice University, gives the NAM Claytor-Woodard Lecture on "An invitation to Noncommutative Algebra," on January 9, 2021 at the Joint Mathematics Meetings
From playlist Useful math
Steve Oudot (9/8/21): Signed barcodes for multi-parameter persistence via rank decompositions
In this talk I will introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-parameter persistence, the signed barcode
From playlist AATRN 2021
LoĂ¯c FOISSY - Cointeracting Bialgebras
Pairs of cointeracting bialgebras recently appears in the literature of combinatorial Hopf algebras, with examples based on formal series, on trees (Calaque, Ebrahimi-Fard, Manchon), graphs (Manchon), posets... We will give several results obtained on pairs of cointeracting bialgebras: act
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Jon Pakianathan (5/7/19): On a canonical construction of tessellated surfaces from finite groups
Title: On a canonical construction of tessellated surfaces from finite groups Abstract: In this talk we will discuss an elementary construction that associates to the non-commutative part of a finite group’s multiplication table, a finite collection of closed, connected, oriented surfaces
From playlist AATRN 2019
Quantum Many-Body Physics with Multimode Cavity QED by Jonathan Keeling
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
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
Wolfram Physics III: Completion Procedures and Basic Quantum Mechanics"
Find more information about the summer school here: https://education.wolfram.com/summer/school Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https:
From playlist Wolfram Summer Programs
An algebraic algorithm for non-commutative rank over any field - K.V. Subrahmanyam
Optimization, Complexity and Invariant Theory Topic: An algebraic algorithm for non-commutative rank over any field Speaker: K.V. Subrahmanyam Affiliation: Chennai Mathematical Institute Date: June 6. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Cover Times, Blanket Times, and Majorizing Measures - James Lee
James Lee University of Washington April 12, 2010 The cover time of a graph is one of the most basic and well-studied properties of the simple random walk, and yet a number of fundamental questions concerning cover times have remained open. We show that there is a deep connection between c
From playlist Mathematics
Using elimination to solve a system
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
Solve a System of Linear Equations Using Elimination
đŸ‘‰Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
MAST30026 Lecture 7: Constructing topological spaces (Part 2)
I defined the disjoint union of topological spaces, quotient spaces and the pushout. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every
From playlist MAST30026 Metric and Hilbert spaces