In mathematics, a factorisation of a free monoid is a sequence of subsets of words with the property that every word in the free monoid can be written as a concatenation of elements drawn from the subsets. The Chen–Fox–Lyndon theorem states that the Lyndon words furnish a factorisation. The Schützenberger theorem relates the definition in terms of a multiplicative property to an additive property. Let A* be the free monoid on an alphabet A. Let Xi be a sequence of subsets of A* indexed by a totally ordered index set I. A factorisation of a word w in A* is an expression with and . Some authors reverse the order of the inequalities. (Wikipedia).
How to factor a monomial to it's linear factors
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Learn to factor a monomial to it's linear factors
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Factoring a monomial completely
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Factoring Monomials | Step by Step | Part 1
👉In this video I will show you how to understand factoring with monomials. This will help build up our understanding of factoring so we can factor larger polynomials as well as simplify radicals. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation
From playlist Understand Factoring - Step by Step
Juliet Cooke: Skein categories
In this talk we will talk about skein categories which are a categorical analogue of skein algebras based on coloured ribbon tangles. We shall then see how these skein categories satisfy excision and therefore fit within the framework of factorisation homology as k-linear factorisation hom
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Landau-Ginzburg - Seminar 5 - From quadratic forms to bicategories
This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Dan Murfet starts with quadratic forms and introduces Clifford algebras, their modules and bimodules and explains how these fit into a bicategory
From playlist Metauni
Marco Robalo - Motivic realisations of singularity categories and vanishing cycles
Abstract: In this talk I will explain a comparison result establishing an identification of the L-adic realisation of the dg-category of matrix factorisations of a Landau-Ginzburg model over a complete discrete valuation ring with potential induced by a uniformizer, with a 2-periodic versi
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
What is prime factorization of a number or expression
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Creating a factor tree to obtain the prime factorization of a number, 48x^4 y^3
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
How to use a factor tree to factor find the linear factorization of a term, 32x^4 y^2
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Nadia Larsen: Equilibrium states for C*-algebras of right LCM monoids.
Talk by Nadia Larsen in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on October 13, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
Andy Magid, University of Oklahoma
Andy Magid, University of Oklahoma Differential Brauer Monoids
From playlist Online Workshop in Memory of Ray Hoobler - April 30, 2020
Category Theory 10.2: Monoid in the category of endofunctors
Monad as a monoid in the category of endofunctors
From playlist Category Theory
Matt SZCZESNY - Toric Hall Algebras and infinite-dimentional Lie algebras
The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Geometry of Frobenioids - part 2 - (Set) Monoids
This is an introduction to the basic properties of Monoids. This video intended to be a starting place for log-schemes, Mochizuki's IUT or other absolute geometric constructions using monoids.
From playlist Geometry of Frobenioids
Watch a math tutorial video for how to write the prime factorization of term, 54x^4 y^2
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
Matrix factorisations and quantum error correcting codes
In this talk Daniel Murfet gives a brief introduction to matrix factorisations, the bicategory of Landau-Ginzburg models, composition in this bicategory, the Clifford thickening of a supercategory and the cut operation, before coming to a simple example which shows the relationship between
From playlist Metauni