In the last blog post, we discussed how to calculate the Manhattan and Euclidean distances from first principles. However, in that post, we did a very manual implementation for a single pair of vectors, which would not generalise well to more than …
If you had to invent a machine learning algorithm from scratch, what would be some of the ways you'd find patterns in your data? One idea that you might have come up with is to assume that data points that are "close" to each other are similar, and …
During my years of working as a data scientist, I've tried quite a number of IDEs. When I was primarily working with R, RStudio was a very nice environment to work with, but when I moved to working in Python I hadn't been able to find anything close. …
If you cast your mind back to the blog post on relations, you might remember a concept called equivalence classes. These are a consequence of when we have an equivalence relation of a set, and they partition the set into mutually exclusive subsets. A …
In the last blog post, we talked about divisibility and the greatest common divisor, or $\gcd$. You might have been wondering already in that post what happens when two integers don't have any common divisors? Well, in this case, as 1 divides every …
