Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What are...Catalan numbers? Or: In praise of counting
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhauer.com/youtube.html
Material used.
en.wikipedia.org/wiki/Catalan...
en.wikipedia.org/wiki/Schr%C3...
More material.
brilliant.org/wiki/catalan-nu...
oeis.org/A000108
oeis.org/A001003
Enumerative combinatorics.
en.wikipedia.org/wiki/Enumera...
Binary tree.
en.wikipedia.org/wiki/Binary_...
Lattice path.
en.wikipedia.org/wiki/Lattice...
Crossing partition.
en.wikipedia.org/wiki/Noncros...
Dyck language.
en.wikipedia.org/wiki/Dyck_la...
Mathematica.
mathworld.wolfram.com/Catalan...
mathworld.wolfram.com/BinaryT...
Pictures.
en.wikipedia.org/wiki/Catalan...
en.wikipedia.org/wiki/Noncros...
en.wikipedia.org/wiki/Schr%C3...
Негізгі бет What are...Catalan numbers?
Пікірлер: 10