Mathspp Blog

A blog dedicated to mathematics and programming!

This blog has a really interesting assortment of articles on mathematics and programming. You can use the tags to your right to find topics that interest you, or you may want to have a look at

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In this Pydon't we cover advanced topics related to sequence slicing, like (negative) steps, more idiomatic sequence slicing, slice assignment, and slice deletion.

This is an algorithmic puzzle where you just have to turn some coins.

In the fifth article of this short series we will be handling some subtleties that we overlooked in our experiment to classify handwritten digits from the MNIST dataset.

This article covers the basics of sequence slicing in Python and teaches you some idiomatic slicing patterns to write more elegant code.

In this article we use (finite state) automatons to count 698,438,863,898,480,640 passwords in a couple milliseconds.

A short article with all you need to know about sequence indexing in Python – and a bit more.

Two doors, one gives you eternal happiness and the other eternal sadness. How can you pick the correct one?

If you need to access the items of an iterable but also keep track of their indices, have you considered using enumerate? Let's talk about another of Python's amazing tools to work with for loops.

Syncro is a beautiful game where you have to unite all the petals in a single flower. In how many moves can you do it?

In part 4 of this series we add some unit testing, improve our tokenizer and implement the primitives ⍴ and ⍀.

for loops are the bread and butter of imperative programming and Python has some really nice tools to work with them. If you want to traverse several structures in parallel, have you considered using zip?

A waiter at a restaurant gets a group's order completely wrong. Can you turn the table to get two or more orders right?

Structural pattern matching is coming in Python 3.10 and the previous Pydon't explored some interesting use cases for the new match statement. This article explores situations for which match isn't the answer.

In the fourth article of this short series we will apply our neural network framework to recognise handwritten digits.

Structural pattern matching is coming in Python 3.10 and this article explores how to use it to write Pythonic code, showing the best use cases for the match statement.

A bunch of ants are left inside a very, very, tight tube, and they keep colliding with each other and turning around. How long will it take them to escape?

The third article of this short series concerns itself with the implementation of the backpropagation algorithm, the usual choice of algorithm used to enable a neural network to learn.

In the second article of this short series we will create a class for a generic neural network and we will also see how to assess the quality of the output of a network, essentially preparing ourselves to implement the backpropagation algorithm.

Learn the ins and outs of comparison operator chaining, and especially the cases you should avoid.

This is the first article in a series to implement a neural network from scratch. We will set things up in terms of software to install, knowledge we need, and some code to serve as backbone for the remainder of the series.