Online Probability and Combinatorics Seminars

In this time of Covid-19 pandemic, many seminars have been moved to online. Here are some that I know of …




Long runs in coin tosses




Several Variable Calculus 1MA017, Autumn 2019 (Archive)

I just finished teaching the course Several Variable Calculus 1MA017 (Autumn 2019) at Uppsala University. Here are the materials that …




The Nested Radical Constant

My colleagues at Uppsala University regularly give some puzzles to everyone. We got the following one for this week. I …




Tiling chessboard with L-shaped tiles

I created a Jupyter notebook for teaching induction in combinatorics to demonstrate that you can always tile a \(2^n …




RandomTree.jl -- Simulation on large random trees with Julia

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)

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

I came across an interesting identity on math.stackexchange.com.




The sum of n uniform [0,1] random variables

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

I am trying to learn how to use computers to prove identities like this one