The Snake Morphism and Long Exact Sequences
The snake lemma is a fundamental tool of homological algebra which is primarily used in the construction of the homology long exact sequence. It's proof, like many others in homological algebra, is an exercise in diagram chasing...
The Yoneda Lemma
The Yoneda lemma, according to Ravil Vakil in Foundations of Algebraic Geometry, is an "important exercise you should do once in your life." This fundamental result is often said to be difficult to conceptualize...
Finite arithmetic progressions in cyclic groups
Here are two puzzles of my own invention concerning finite arithmetic progressions in cyclic (or monothetic) groups. An example this is a sequence of regularly scheduled meetings spread throughout multiple years (e.g. 10 meetings occuring once every 60 days)...
Building a -compatible search feature for my blog using Fuse.js
If you press ctrl + K on the blog page of this site, you'll be greeted by a search dialog modeled after the one on the Vue.js website. When a user searches for a post, the matching text is marked by being either highlighted or underlined...