Catalan number

Catalan Mersenne Primes 2^127-1 #MegaFavNumbers

#MegaFavNumbers oh I made a mistake, i meant partitions of sets with n elements. Hope you enjoy

From playlist MegaFavNumbers

[Discrete Mathematics] Catalan Numbers

In this video we introduce the Catalan Numbers, which is a way of looking at lattice paths from (0,0) to (n,n) where it never crosses the diagonal line. This is also the number of ways to multiply n+1 products. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1

From playlist Discrete Math 2

More ways of deriving Catalan numbers | DDC #3

Catalan numbers are so extensively studied that there are a number of different ways to derive those, including reflection, mentioned in the previous video, as well as bijection, and generating function, which are mentioned in this video. Useful link: (The document) https://drive.google.

From playlist Deep Dive into Combinatorics (DDC)

Catalan numbers are not in Catalan | DDC #2

This video explores one derivation of the Catalan number formula, using the deposits and loan in bank problem earlier. Although Catalan is a language, here, Catalan numbers mean a specific class of numbers in combinatorics named after a French-Belgian mathematician Catalan. Useful links:

From playlist Deep Dive into Combinatorics (DDC)

Prove that the Catalan numbers are integers: a number theoretic approach

We prove, for the 2nd time, that the Catalan numbers are integers: a number theoretic approach We proved this fact using a combinatorial approach In a previous video here: https://youtu.be/73HppmrSEIw (Prove that n+1 divides 2n choose n. And Catalan numbers) The new proof in this video i

From playlist Elementary Number Theory

The Most Important Sequence

This is our group submission for #some2 I worked with Tomáš Sláma who made all of the animations in this video. Check out his channel for more beautifully animated math videos: https://www.youtube.com/c/Tom%C3%A1%C5%A1Sl%C3%A1maYT Follow me on Tiktok! https://www.tiktok.com/@sackvideo

From playlist Summer of Math Exposition 2 videos

Catalan Numbers Enumeration of Lattice Paths and visual Recurrence Formula (synthwave)

This synthwave enumeration shows all of the northeast lattice paths to the points (a,a) that don't pass below the line y=x where a ranges from 0 to 7. The number of such lattice paths is counted by the Catalan numbers, and we use the visual enumeration to show how to produce the (quadrati

From playlist Proof Writing

Finding Critical Numbers Example 1

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding Critical Numbers Example 1. We find the critical numbers of f(x) = sin^2x + cosx on (0, 2pi).

From playlist Calculus

Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations

This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form

From playlist Math Foundations

15-year-old did mathematical research?! What was my thinking process back then?

Mathematical research can be accessible. This video series somewhat faithfully records the thinking process of a 15-year-old in his mathematical research. Although it turned out that someone had made a similar discovery, this independent and nontrivial discovery still stands to prove that

From playlist Miscellaneous

Lecture 16 - Exponential G. F.

This is Lecture 16 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2016.pdf More information may

From playlist CSE547 - Discrete Mathematics - 1999 SBU

Catalonia independence referendum

Support CaspianReport through Patreon: https://www.patreon.com/CaspianReport BAKU - Tensions are high between Catalan and Spanish authorities over the former’s referendum on independence, which is scheduled for October 1st, 2017. As Catalan resident prepare to vote on whether they want to

From playlist Geopolitics

Catalan's Constant and the Taylor Series of the Inverse Tangent! [ + Exploring Python and Desmos ]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Let us dive into some analytic numbe

From playlist Taylor Series

Advice for Research Mathematicians | The joy of maxel number theory: Chebyshev Polys 2 | Wild Egg

We extend our newish approach to families of orthogonal polynomials / polynumbers involving creating two dimensional arrays, or maxels, from them to the case of the Chebyshev polynomials of the second kind. These are very important in representation theory of Lie groups and Lie algebras,

From playlist Maxel inverses and orthogonal polynomials (non-Members)

CMU Discrete Mathematics 3/24

Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o

From playlist CMU 21-228 Discrete Mathematics

The Grid Game- A Visual Exploration of the Catalan Numbers

A brief exploration of the Catalan Numbers. Submission for the 3Blue1Brown Summer of Math Exposition 2022. Towers of Hanoi Puzzle by Reducible: https://www.youtube.com/watch?v=rf6uf3jNjbo Works Cited: https://www.math.ucla.edu/~pak/papers/cathist2.pdf https://www.researchgate.net/public

From playlist Summer of Math Exposition 2 videos

How to use decimal points

👉 Learn all about decimals. Decimals are numbers written with a decimal point. Digits can be written to the right or to the left of the decimal point. Digits are written to the left of the decimal point increase in value by multiples of 10 while digits written to the right decrease by mul

From playlist Decimals | Learn About