Lemmas | Combinatorics on words

Levi's lemma

In theoretical computer science and mathematics, especially in the area of combinatorics on words, the Levi lemma states that, for all strings u, v, x and y, if uv = xy, then there exists a string w such that either uw = x and v = wy (if |u| ≤ |x|) or u = xw and wv = y (if |u| ≥ |x|) That is, there is a string w that is "in the middle", and can be grouped to one side or the other. Levi's lemma is named after Friedrich Wilhelm Levi, who published it in 1944. (Wikipedia).

Levi's lemma
Video thumbnail

Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

Video thumbnail

Fourier Series: Determining the Coefficients

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Partial Differential Equations

Video thumbnail

Omer Offen : Distinction by a symmetric subgroup

Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 17, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H

From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann

Video thumbnail

Linear Algebra 2q: Summary of Terms Encountered so Far

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Theory of numbers: Gauss's lemma

This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di

From playlist Theory of numbers

Video thumbnail

Water and Wine

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Problems, Paradoxes, and Sophisms

Video thumbnail

2 Ruediger - Stochastic Integration & SDEs

PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have

From playlist Winter School on Stochastic Analysis and Control of Fluid Flow

Video thumbnail

Regularity lemma and its applications Part I - Fan Wei

Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

RIngs 22 Hensel's lemma

This lecture is part of an online course on rings and modules. We continue the previous lecture on complete rings by discussing Hensel's lemma for finding roots of polynomials over p-adic rings or over power series rings. We sketch two proofs, by slowly improving a root one digit at a tim

From playlist Rings and modules

Video thumbnail

The Straw Trick

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Problems, Paradoxes, and Sophisms

Video thumbnail

An explicit supercuspidal local Langlands correspondence - Tasho Kaletha

Joint IAS/Princeton University Number Theory Seminar Topic: An explicit supercuspidal local Langlands correspondence Speaker: Tasho Kaletha Affiliation: University of Michigan; von Neumann Fellow, School of Mathematics Date: October 29, 2020 For more video please visit http://video.ias.e

From playlist Mathematics

Video thumbnail

Dennis Gaitsgory - 1/4 Singular support of coherent sheaves

Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee

From playlist Dennis Gaitsgory - Singular support of coherent sheaves

Video thumbnail

Kai Cieliebak - Stein and Weinstein manifolds

Stein manifolds arise naturally in the theory of several complex variables. This talk will give an informal introduction to some of their topological and symplectic aspects such as: handlebody construction of Stein manifolds; their symplectic counterparts; Weinstein manifolds; flexibility

From playlist Not Only Scalar Curvature Seminar

Video thumbnail

Fiona Murnaghan: Tame relatively supercuspidal representations

Abstract: Let G be a connected reductive p-adic group that splits over a tamely ramified extension. Let H be the fixed points of an involution of G. An irreducible smooth H-distinguished representation of G is H-relatively supercuspidal if its relative matrix coefficients are compactly sup

From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann

Video thumbnail

Burnside's Lemma (Part 2) - combining math, science and music

Part 1 (previous video): https://youtu.be/6kfbotHL0fs Orbit-stabilizer theorem: https://youtu.be/BfgMdi0OkPU Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be

From playlist Traditional topics, explained in a new way

Video thumbnail

Wein-Wei Li: Full stable trace formula for the group Mp(2n)

CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by w

From playlist Virtual Conference

Video thumbnail

Omer Offen : Distinction and the geometric lemma

Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 17, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H

From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann

Video thumbnail

Omer Offen : The relative trace formula

Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 19, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H

From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann

Video thumbnail

Linear Algebra Vignette 4a: Fibonacci Numbers - Review Of The Eigenvalue Decomposition

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

Video thumbnail

Dipendra Prasad - Branching laws: homological aspects

By this time in the summer school, the audience will have seen the question about decomposing a representation of a group when restricted to a subgroup which is referred to as the branching law. In this lecture, we focus attention on homological aspects of the branching law. The lecture

From playlist 2022 Summer School on the Langlands program

Related pages

Graph theory | Monogenic semigroup | String operations | Combinatorics on words | Mathematics | Satisfiability | Theoretical computer science | Free monoid | Decision problem | Trace monoid | Nielsen transformation | Homomorphism | String (computer science)