Plotting data is a key part of any science and there are a lot of software solutions designed for this purpose, e.g. Excel, Veusz, gnuplot etc… These are all fine but something which I often need i...

Try the code yourself! Click the following button to launch an ipython notebook on Google Colab which implements the code developed in this post: In a previous post we looked at the hydrogen at...

Try the code yourself! Click the following button to launch an ipython notebook on Google Colab which implements the code developed in this post: The Problem: We want to solve the Schrödinger ...

Try the code yourself! Click the following button to launch an ipython notebook on Google Colab which implements the code developed in this post: The Problem: We want to solve the following st...

The Problem: We want to programmatically find the minimum value of the following simple function \[ f(x,y) = x^2 + y^2 + 3 \tag{1} \] We already know the answer to this, \(\text{min}(f(x,y)) = ...

The Problem: We have a simple nested sum problem (aka cumulative sum): \[ \sum\limits_{a_i=0}^{a}\sum\limits_{b_i=0}^{b}\sum\limits_{c_i=0}^{c}\sum\limits_{d_i=0}^{d}\sum\limits_{e_i=0}^{e}\sum\lim...

Nearly everyone has had influential teachers throughout their school years. I can list several notable candidates, but truthfully the best teacher has always been the internet. It is something a lo...