PinnedChris SmithCollatz and Base 2 / Base 3 DualityIt might be obvious from my last two articles that I’ve been thinking about the Collatz conjecture a bit. Here, I can tie some of these…Jul 28Jul 28

Chris SmithThe Collatz Step and 2-adic IntegersThis is a follow-up to my previous post on Collatz in base 2 and 3. I got a response from a reader, Olaf K., who pointed out that the…Jul 16Jul 16

Chris SmithCollatz Computations in Base 2 and 3Every so often, the Collatz conjecture comes up in discussion forums I read, and I start to think about it again. I did for a bit this past…Jul 9Jul 9

Chris SmithThe Semigroup of Exponentially Weighted Moving AveragesThis is just a quick note about some more interesting algebraic structure, and how that structure can help with generalizing an idea. None…Jun 30Jun 30

Chris SmithElection Monoids And “Equal” VotesI care a lot about the best ways to run elections. I also care about mathematics, and algebra in particular. What happens when you mix the…Jun 195Jun 195

Chris SmithApproval and Score Voting are Intrinsically TacticalMy previous post was a large-scale comparison of approaches to voting based on modeling voters and simulating elections. I ran into a…Jul 11, 20238Jul 11, 20238

Chris SmithSimulating Elections with Spatial Voter ModelsDemocracy: a concept almost universally revered, underpinned by the foundational act of voting. However, interpreting voting results to…Jul 9, 202314Jul 9, 202314

Chris SmithWeekend Project: Voronoi MosaicsMy employer, Groq, gave us a three day weekend for Juneteenth, so I decided to use the time for a fun weekend programming project. Here…Jun 20, 20232Jun 20, 20232

Chris SmithPair Programming with ChatGPT & HaskellHere, I present the (lightly edited) story of using ChatGPT conversationally to solve a non-trivial problem in Haskell. It definitely gets…Jan 26, 2023Jan 26, 2023

Chris SmithGeometry, Dimensions, and ElectionsI found this to be an interesting way to ponder the theory of elections and group decision-making, so I’m writing to share. I have not done…Aug 13, 2022Aug 13, 2022