In mathematics, Gijswijt's sequence (named after by Neil Sloane) is a self-describing sequence where each term counts the maximum number of repeated blocks of numbers in the sequence immediately preceding that term. The sequence begins with: 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, ... (sequence in the OEIS) The sequence is similar in definition to the Kolakoski sequence, but instead of counting the longest run of single terms, the sequence counts the longest run of blocks of terms of any length. Gijswijt's sequence is known for its remarkably slow rate of growth. For example, the first 4 appears at the 220th term, and the first 5 appears near the rd term. (Wikipedia).
G-stable Rank and the Cap Set Problem - Harm Derksen
Workshop on Additive Combinatorics and Algebraic Connections Topic: G-stable Rank and the Cap Set Problem Speaker: Harm Derksen Affiliation: Northeastern University Date: October 26, 2022 Ellenberg and Gijswijt drastically improved the best known upper asymptotic bound for the cardinalit
From playlist Mathematics
Dijkstra vs Bi-directional Dijkstra Progress - Rectangular and Hexagonal Grid #dijkstra
Comparative progress of classical and bi-directional Dijkstra on rectangular and hexagonal grids. Still snapshots will be available at the following link: http://wp.me/p1mKpD-co #dijkstra #dijkstrasalgorithm #graphalgorithm #python #algorithm #visualalgorithm #computerscience 0:00 No
From playlist Electromagnetic Animations
The Number Collector (with Neil Sloane) - Numberphile Podcast
We speak with Neil Sloane - creator and keeper of the famed ‘On-line Encyclopedia of Integer Sequences’. OEIS - https://oeis.org Sequences we featured from the OEIS included: Fibonacci Numbers - https://oeis.org/A000045 A068679 - https://oeis.org/A068679 Bell or exponential numbers - htt
From playlist Neil Sloane on Numberphile
Proof that the Sequence {1/n} is a Cauchy Sequence
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the Sequence {1/n} is a Cauchy Sequence
From playlist Cauchy Sequences
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Topics in Combinatorics lecture 13.8 --- The slice rank of a diagonal 3-tensor
A result that has played a central role in additive combinatorics is the statement that for every positive c there exists n such that every subset of F_3^n of density at least c contains three distinct vectors x, y and z such that x + y + z = 0. For a long time, a major open problem was to
From playlist Topics in Combinatorics (Cambridge Part III course)
Marina Iliopoulou: Three polynomial methods for point counting, Lecture I
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
Marina Iliopoulou: Three polynomial methods for point counting, Lecture IV
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
Marina Iliopoulou: Three polynomial methods for point counting, Lecture II
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
Marina Iliopoulou: Three polynomial methods for point counting, Lecture III
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
What is the difference between finite and infinite sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Asymptotic spectra and their applications I - Jeroen Zuiddam
Computer Science/Discrete Mathematics Seminar II Topic: Asymptotic spectra and their applications I Speaker: Jeroen Zuiddam Affiliation: Member, School of Mathematics Date: October 9, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Sequence Definition and Examples Welcome to our sequence adventure! In this video, I give some basic examples of sequences, and in the remainder of the playlist we'll discover beautiful properties of sequences and their limits. Enjoy! Check out my Sequences Playlist: https://www.youtube.
From playlist Sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Intro to Sequences | Calculus, Real Analysis
We introduce sequences, consider them as functions, and go over some sequence notation as well as other concepts and terminology in today's lesson video lesson on sequences! A sequence is a list of numbers in some definite order. Each number in a sequence is called a term of the sequence.
From playlist Real Analysis
My #MegaFavNumbers is the long form centillion
Responding to the call from my favourite math YouTubers. #MegaFavNumbers. The long form centillion. 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
From playlist MegaFavNumbers
Sequences, On-Sequences and Clips | Algebraic Calculus One | Wild Egg
What exactly is a sequence? In this video we introduce a precise understanding of this important concept, and then also venture towards "on-going" or "boundless" or "infinite" sequences. We also introduce the idea of a "clip" of a sequence, which is a partial representation of a sequence
From playlist Algebraic Calculus One from Wild Egg