*This is part 1 of a series explaining what is Harmonic number and it's connection with Zeta
functions. The post …*

# Two 3-d cyclic integrals by Mathematica

*This post is converted to Markdown from this Mathematica notebook thanks to the M2MD package by
Kuba Podkalicki.*

I came …

# Long runs in coin tosses

# The Nested Radical Constant

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

# The joy of experimental mathematics

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

# An example of proving summation identities with computer

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

# The moment of truncated random variables

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

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

Chernoff's bound is a group of quite well-known concentration-inequalities. I though I know it but last week my collage Gabriel …

# The Convexity Property Related to Beta Densities

*(This is a question asked by Tilo Wiklund recently on our group meeting.)*