|Posts on Regator:||896|
|Posts / Week:||6|
|Archived Since:||April 26, 2011|
Russ Roberts had this to say about the proposal to replacing the calculus requirement with statistics for students. Statistics is in many ways much more useful for most students than calculus. The problem is, to teach it well is extraordinarily … Read more ›
David Hogg calls conventional statistical notation a “nomenclatural abomination”: The terminology used throughout this document enormously overloads the symbol p(). That is, we are using, in each line of this discussion, the function p() to mean something different; its meaning … Read more ›
Here’s a nice quip from Luke Gorrie on Twitter: Monads are hard because there are so many bad monad tutorials getting in the way of finally finding Wadler’s nice paper. Here’s the paper by Philip Wadler that I expect Luke … Read mor...
Here’s a strange way to do arithmetic on the real numbers. First, we’ll need to include +? and -? with the reals. We define the new addition of two elements x and y to be -log (exp(-x) + exp(-y) ). … Read more ›
The thing that sparked my interest in category theory was a remark from Ted Odell regarding the dual of a linear transformation. As I recall, he said something like “There’s a reason the star goes up instead of down” and … Read more...
In this post I interview Greg Greenlaw, a friend of mine who served as a missionary to the Nakui tribe in Papua New Guinea and developed their writing system. (Nakui is pronounced like “knock we.”) JC: When you went to … Read more ›
The previous post gave a relationship between the imaginary unit i and the golden ration. This post highlights a comment to that post explaining that the relationship generalizes to generalizations of the golden ratio. GlennF pointed out that taking the … Read more ›
This morning Andrew Stacey posted a beautiful identity I’d never seen before relating the golden ratio ? and the imaginary unit i: Here’s a proof: By De Moivre’s formula, and so Related posts: Golden ratio and special angles Golden strings … Read more ›
In describing writing his second book, Tom Leinster says … I’m older and, I hope, more able to cope with stress: just as carpenters get calloused hands that make them insensitive to small abrasions, I like to imagine that academics … Read more ›
Freeman Dyson divided mathematicians into birds and frogs in his essay by that title. Some mathematicians are birds, others are frogs. Birds fly high in the air and survey broad vistas of mathematics out to the far horizon. They delight … Read more ›
I found this line from Software Foundations amusing: … we can ask Coq to “extract,” from a Definition, a program in some other, more conventional, programming language (OCaml, Scheme, or Haskell) with a high-performance compiler. Most programmers would hardly consider … Read more ›
Design principles from Programming Pearls by Jon Bentley: Work on the right problem. Explore the design space of solutions. Look at the data. Use the back of the envelope. Build prototypes. Make tradeoffs when you have to. Keep it simple. … Read more ›
I’m reading Real World Haskell because one of my clients’ projects is written in Haskell. Some would say that “real world Haskell” is an oxymoron because Haskell isn’t used in the real world, as illustrated by a recent xkcd cartoon. … Read more ›
Nice line from Erik Meijer via Twitter: Happiness is when you drill a tunnel from two completely different sides (theory practice) and then they line up exactly.
Today I found out where the one-letter names of some functions in combinatory logic come from. I’d seen these before (for example, in To Mock a Mockingbird) but I had no idea what inspired the names. These functions — I, … Read more...
Why would anyone care about what the weather was predicted to be once you know what the weather actually was? Because people make decisions based in part on weather predictions, not just weather. Eric Floehr of ForecastWatch told me that … Read more ›
Contractors were working on my house all last week. I needed to be home to let them in, to answer questions, etc., but the noise and interruptions meant that home wasn’t a good place for me to work. In addition, … Read more ›
“Whatever is true, whatever is honorable, whatever is just, whatever is pure, whatever is lovely, whatever is commendable, if there is any excellence, if there is anything worthy of praise, think about these things.” — Philippians 4:8 “Ninety percent of … Read more ›
I was in southern California a couple weeks ago to help teach a class in Azure for researchers in Santa Barbara and to visit a client in Thousand Oaks. This week I was in Seattle to give a talk at … Read more ›
When I was in college, I overheard two senior faculty arguing over an undergraduate probability homework assignment. This seemed very strange. It occurred to me that I’d never seen faculty argue over something elementary before, and I couldn’t imagine an … Read more ›