Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words affects various areas of mathematical study, including algebra and computer science. There have been a wide range of contributions to the field. Some of the first work was on square-free words by Axel Thue in the early 1900s. He and colleagues observed patterns within words and tried to explain them. As time went on, combinatorics on words became useful in the study of algorithms and coding. It led to developments in abstract algebra and answering open questions. (Wikipedia).
Introduction to Combinatory Logic – #SoME2
This is Alexander Farrugia's and Giorgio Grigolo's submission to the second 3blue1brown Summer of Math Exposition. #some2 #mathematics #combinators #logic Music: Icelandic Arpeggios – DivKid
From playlist Summer of Math Exposition 2 videos
Combinatorial Identities via both Algebraic and Combinatorial Proof [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. This is a follow up to previous a video introducing combinatorial objects (in particular k-permutations and k-subsets) and a video about the sum and
From playlist Discrete Mathematics Course
Mathilde Bouvel : Studying permutation classes using the substitution decomposition
Recording during the thematic meeting : "Pre-School on Combinatorics and Interactions" the January 09, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Combinatorics
Michaël Rao : Avoiding k-abelian powers in words
Recording during the thematic meeting: "Combinatorics on Words" the March 16, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathemati
From playlist Combinatorics
Factorial Notation (1 of 3: Comparison to other functions)
More resources available at www.misterwootube.com
From playlist Working with Combinatorics
Timothy Gowers: Combinatorics, Szemerédis theorem and the sorting problem
Sir William Timothy Gowers is a British mathematician and a Royal Society Research Professor at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. This video is a clip from the Abel Prize Announcement 2012. Gowers gives a brief introduction to t
From playlist Popular presentations
Topics in Combinatorics lecture 1.0 -- welcome
This is the first video of a course entitled Topics in Combinatorics, which is given as part of the Part III Mathematics course at Cambridge University in the Michaelmas term of 2020. Because of the pandemic, all courses are online this year, and since we are allowed to post our lectures o
From playlist Topics in Combinatorics (Cambridge Part III course)
Monica Vazirani: From representations of the rational Cherednik algebra to parabolic Hilbert schemes
Abstract: Young diagrams and standard tableaux on them parameterize irreducible representations of the symmetric group and their bases, respectively. There is a similar story for the double affine Hecke algebra (DAHA) taking periodic tableaux, or for the rational Cherednik algebra (a.k.a.
From playlist SMRI Algebra and Geometry Online
Quantum Computers: How They Work and What Can They Do?
We are beginning to evolve beyond classical computing into a new data era called quantum computing. The quantum computing power and speed will help us solve some of the biggest and most complex challenges we face.
From playlist Quantum Computing
1. A bridge between graph theory and additive combinatorics
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX In an unsuccessful attempt to prove Fermat's last theorem
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Additive number theory: Extremal problems and the combinatorics of sum. (Lecture 4) by M. Nathanson
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
How to determine if an expression is a monomial, binomial, or trinomial
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials
Pablo Shmerkin: Additive combinatorics methods in fractal geometry - lecture 1
In the last few years ideas from additive combinatorics were applied to problems in fractal geometry and led to progress on some classical problems, particularly on the smoothness of Bernoulli convolutions and other self-similar measures. We will introduce some of these tools from additive
From playlist Combinatorics
Associativity testing - Ben Green
Computer Science/Discrete Mathematics Seminar I Topic: Associativity testing Speaker: Ben Green Affiliation: University of Oxford Date: November 09, 2020 For more video please visit http://video.ias.edu Green-2020-11-09
From playlist Mathematics
Possible three letter words | Probability and Statistics | Khan Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.or
From playlist High school statistics | High School Math | Khan Academy
The Selberg Sieve (Lecture 4) by Stephan Baier
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Peter Varju: Additive combinatorics methods in fractal geometry - lecture 2
In the last few years ideas from additive combinatorics were applied to problems in fractal geometry and led to progress on some classical problems, particularly on the smoothness of Bernoulli convolutions and other self-similar measures. We will introduce some of these tools from additive
From playlist Combinatorics
The Selberg sieve (Lecture 1) by Stephan Baier
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020