I created a Jupyter notebook for teaching induction in combinatorics to demonstrate that you can always tile a \(2^n …
Tiling chessboard with L-shaped tiles
Posted on Wed 22 May 2019 in math
RandomTree.jl -- Simulation on large random trees with Julia
Posted on Mon 13 May 2019 in math
I have been working on a software package
RandomTree.jl that could effectively generate pretty
large (\(10^8\) nodes) random …
Combinatorics 1MA020, Spring 2019 (Archive)
Posted on Sat 12 January 2019 in math
I just finished teaching the course Combinatorics 1MA020 (Spring 2019) at Uppsala University. Here are the materials that I prepared …
The joy of experimental mathematics
Posted on Sat 12 January 2019 in math
I came across an interesting identity on math.stackexchange.com.
The sum of n uniform [0,1] random variables
Posted on Wed 09 January 2019 in math
Update: Svante Janson told me yesterday that the integral I had at the end of this post is known as …
An example of proving summation identities with computer
Posted on Fri 21 December 2018 in math
I am trying to learn how to use computers to prove identities like this one
The Strahler-Horton number on random trees
Posted on Mon 17 December 2018 in math
We list some open problems regarding the Strahler-Horton number on random trees \(T_n\).
The moment of truncated random variables
Posted on Sat 08 December 2018 in math
Given a random variable \(Y\), sometimes we want to compute the expectation of \(Y[Y\le a]\), where \([P]=1 …
The Convexity Property Related to Beta Densities -- In sage
Posted on Fri 07 December 2018 in math
This is a continuation of my previous post on beta distribution.
My colleague Tilo wants me to use Sagemath instead …
Another version of Chernoff's bound and a Mathematica package for it
Posted on Sun 02 December 2018 in math
Chernoff's bound is a group of quite well-known concentration-inequalities. I though I know it but last week my collage Gabriel …