My post on May 8was about "half-precision" and "quarter-precision" arithmetic. I also added code for objectsfp16andfp8toCleve'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....続きを読む >>

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, seeHOPL-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....続きを読む >>

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, andJim Wilkinson. Although I saw less of Fox than I did of the others, he was still an important influence in my life....続きを読む >>

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

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....続きを読む >>

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....続きを読む >>

Two days ago I wrote aboutrandom 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....続きを読む >>

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 ita very hard puzzle. At first, I guessed the answer might be $1/2$. But the correct answer is more interesting than that....続きを読む >>

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...続きを読む >>

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