T.J. GaffneyIntro to Early Game Minesweeper ProbabilityMinesweeper probability is usually talked about in late game, but I find the early positions interesting too. We’ll explore this a little…Jun 28Jun 28
T.J. GaffneyOn the Stability of Normal DistributionsWe’re all too familiar with the normal distribution. But why? One may answer that the normal distribution shows up empirically very often…Sep 18, 2023Sep 18, 2023
T.J. GaffneyBreeding Goofspiel StrategiesCongrats on making it past the title! This is an article about the game goofspiel and about designing goofspiel strategies using genetic…Jul 31, 2023Jul 31, 2023
T.J. GaffneyThreegonometry, Part 1You’ve heard of trigonometry. sin²(x) + cos²(x) = 1. Two summands, powers of two. Twos everywhere; how boring. In this post, I make new…Jun 19, 2023Jun 19, 2023
T.J. GaffneyProbability is in the Eye of the Beholder… ProbablyWe can talk about probability with a shared understanding. But what does it mean to say the odds of rolling a 4 is 1/6? The exact meaning…Nov 9, 2022Nov 9, 2022
T.J. GaffneyHalf Derivatives: An Operator Theory ProspectiveThis article goes along with a general interest talk I prepared on “half derivatives,” defined below. Though there are lots of ways to…Mar 29, 20201Mar 29, 20201