Posts 1 - 10 of 27

Results for: 2017

Bug in Half-Precision Floating Point Object

My post on May 8 was about "half-precision" and "quarter-precision" arithmetic. I also added code for objects fp16 and fp8 to Cleve's Laboratory. A few days ago I heard from Pierre Blanchard and my good friend Nick Higham at the University of Manchester about a serious bug in the constructors for those objects.... read more >>

Wilkinson and Reinsch Handbook on Linear Algebra

The ACM Special Interest Group on Programming Languages, SIGPLAN, expects to hold the fourth in a series of conferences on the History of Programming Languages in 2020, see HOPL-IV. The first drafts of papers are to be submitted by August, 2018. That long lead time gives me the opportunity to write a detailed history of MATLAB. I plan to write the paper in sections, which I'll post in this blog as they are available.... read more >>

Leslie Fox

Leslie Fox (1918-1992) is a British numerical analyst who was a contemporary of three men who played such an important role in my education and early professional life, John Todd, George Forsythe, and Jim Wilkinson. Although I saw less of Fox than I did of the others, he was still an important influence in my life.... read more >>

Three-Term Recurrence Relations and Bessel Functions

Three-term recurrence relations are the basis for computing Bessel functions. Contents A Familiar Three-Term Recurrence Friedrich Bessel Bessel Functions Miller's Algorithm ... read more >>

Two Other MATLABs, in Bangladesh and in Hindi 2

This post is about the words "Matlab" and "matlab", in upper and lower case, and without a trademark symbol. Matlab with a capital "M" is a district in Bangladesh. "matlab" with a lower case "m" is a common word in the Hindi language. ... read more >>

My First Computer, the Burroughs 205 Datatron 1

The first computer that I seriously used was the Burroughs 205 Datatron. I actually used two different machines, one at Caltech for two years in 1959-61 and one at the University of Utah in the summer of 1960. Both the technology and the style of usage were wildly different from today's computers.... read more >>

How Far Apart Are Two Random Points in a Hypercube? 3

Two days ago I wrote about random points in a square. At the last minute I added the paragraph asking about the generalization to random points in a cube. I have to admit that I didn't check the Web to see what was known about the question.... read more >>

How Far Apart Are Two Random Points in a Square? 5

How far apart can you expect two points chosen at random in the unit square to be? I found this problem on the YouTube channel maintained by Presh Talwalkar, Mind Your Decisions. He correctly calls it a very hard puzzle. At first, I guessed the answer might be $1/2$. But the correct answer is more interesting than that.... read more >>

A Logo Zoetrope

A Logo ZoetropeA quick post to point my readers to Ned Gulley's post in MATLAB Community, A Galloping Logo Zoetrope. Don't know what a Zoetrope is? Ned explains.Get the MATLAB code (requires... read more >>

Brad Efron’s Nontransitive Dice

Do not get involved in a bar bet with Brad Efron and his dice until you have read this.... read more >>

Posts 1 - 10 of 27