Author Archives: Brent

The Species of Bracelets

Summary: The species package now has support for bracelets, i.e. equivalence classes of lists up to rotation and reversal. I show some examples of their use and then explain the (very interesting!) mathematics behind their implementation. I recently released a … Continue reading

Posted in combinatorics, haskell, math, species | Tagged , , | 5 Comments

Ally Skills Tutorial at ICFP

I just signed up for the Ally Skills Tutorial at ICFP, and if you are (1) a man who (2) will be at ICFP in Vancouver, I encourage you to sign up, too! From the website: The Ally Skills Tutorial … Continue reading

Posted in haskell | Tagged , , , , | 2 Comments

Crystal Ball Connection Patterns via Species and Generating Functions

A couple weeks ago, Denise posted Puzzle: Crystal Ball Connection Patterns on her blog, Let’s Play Math. I had fun playing with it and thought I would demonstrate how to apply some high-powered combinatorial techniques to it (probably not what … Continue reading

Posted in combinatorics, haskell, math, species | Tagged , , , , , | 1 Comment

BlogLiterately 0.8.1, now with HTTPS!

I’ve just released version 0.8.1 of BlogLiterately, a tool for formatting and posting stuff (especially Haskelly stuff) to blogs. This is in conjunction with the release of haxr-3000.11. After much blood, sweat, and tears, I was able to rip the … Continue reading

Posted in haskell | Tagged , , , , | 1 Comment

Thoughts on grade inflation, part I: is grade inflation bad?

Grade inflation.  It’s terrible, horrible, no good, very bad, and ruining everything.  …right? Well… I’m not so sure.  What I do know is that the typical conversation around grade inflation frustrates me. At best, it often leaves many important assumptions unstated and unquestioned.  Is … Continue reading

Posted in teaching | Tagged , , , | 3 Comments

Pan-Galactic Division in Haskell

Summary: given an injective function , it is possible to constructively “divide by ” to obtain an injection , as shown recently by Peter Doyle and Cecil Qiu and expounded by Richard Schwartz. Their algorithm is nontrivial to come up … Continue reading

Posted in haskell, math, species | Tagged , , , , , , , , , | 6 Comments

Polynomial Functors Constrained by Regular Expressions

I’ve now finished revising the paper that Dan Piponi and I had accepted to MPC 2015; you can find a PDF here: Polynomial Functors Constrained by Regular Expressions Here’s the 2-minute version: certain operations or restrictions on functors can be … Continue reading

Posted in math, writing | Tagged , , , , , , | 4 Comments