LUTool provides an interactive animation of Gaussian elimination, the most important algorithm in technical computing.... 続きを読む >>

Two previous blog posts, Dec. 12, 2024 and Nov. 16, 2024, introduced "Sonic", my new tool for incorporating sound in videos. Today's blog post includes a link to the MATLAB source code for Sonic, as well as links to new versions of ten examples.... 続きを読む >>

I introduced Sonic in my blog post last month. Today I will use Sonic to add sound to the graphics from three old posts, the vibrating L-shaped membrane, the Recamán sequence and the chaotic behavior of the Swinging Sticks.... 続きを読む >>

I am very excited to incorporate sound in animations. This blog post has five examples with links to videos enclosed in '+ + + +'.... 続きを読む >>

Recently, I have made a series of blog posts about Redheffer matrices and the Mertens conjecture. After each of the posts, readers and colleagues offered suggestions to speed up the calculations. Here is a summary of what I have learned.... 続きを読む >>

A friend is investigating the use of generative AI in his classes. I asked two different popular chatbots to write MATLAB programs for a mathematically nontrivial problem. Both chatbots understood my query and both wrote plausible MATLAB programs, but one of the programs was not correct. My recommendation for coursework: carefully read and test programs produced by generative AI and repair any incorrect ones.... 続きを読む >>

Shortly after I published the second post about the Mertens conjecture, a reader's comment suggested a new approach to computing Redheffer determinants and the Mertens function. It is now possible to compute a half-million values of the Mertens function in about five hours.... 続きを読む >>

Shortly after I posted Redheffer, Mertens and One-Million Dollars a few days ago, Mathworks' Pat Quillen made an important observation about computing the Mertens function.... 続きを読む >>

I didn't know anything about these topics until a couple of weeks ago. Now I can't stop thinking about them.... 続きを読む >>

The NA-Digest is an electronic newsletter for the numerical analysis and scientific software community. The NA-Digest is one of world's first examples of social networking. The Digest is one of the forces that makes our community a living, viable community.... 続きを読む >>