As the degree of an interpolating polynomial increases, does the polynomial converge to the underlying function? The short answer is maybe. I want to describe a visual tool to help you investigate this question yourself.... 続きを読む >>

MathWorks is creating a deck of playing cards that will be offered as gifts at our trade show booths. The design of the cards is based on Penrose Tilings and plots of the Finite Fourier Transform Matrix.... 続きを読む >>

I am addicted. I keep coming back to John Conway's Game of Life. Years ago, I wrote a chapter about Life in Experiments with MATLAB. I wrote a three-part series about Life shortly after I started blogging. Part 1, Part 2, Part 3. I have recently made significant enhancements to my MATLAB program for Life. I never seem to finish the code because I get diverted by actually using the program to explore the Universe. I invite you to join me. But, fair warning, you might become addicted too.... 続きを読む >>

Two months ago I wrote a blog post about Teaching Calculus to a Deep Learner. We wrote the code for that post in one afternoon in the MathWorks booth at the SIAM Annual Meeting. Earlier that day, during his invited talk, MIT Professor Gil Strang had spontaneously wondered if it would possible to teach calculus to a deep learning computer program. None of us in the booth were experts in deep learning.... 続きを読む >>

This week’s post is by Reece Teramoto.
MathWorks recently took over sponsorship of the Math Modeling Challenge, a contest for high school juniors and seniors in the U.S organized by SIAM – Society... 続きを読む >>

Find the optimum traveling salesman tour through the capitals of the 48 contiguous states in the USA.... 続きを読む >>

Create a MATLAB® graph object from information about neighbors among the 48 contiguous states in the USA.... 続きを読む >>

I probably first saw this matrix in 1960 in John Todd's class at Caltech. But I forgot about it until Tahar Loulou jogged my memory with a comment following my blog post in late May. It deserves a place in our gallery of interesting matrices.... 続きを読む >>

MIT's Professor Gil Strang gave two talks in one morning recently at the SIAM annual meeting. Both talks derived from his experience teaching a new course at MIT on linear algebra and neural nets. His first talk, "The Structure of a Deep Neural Net", was in a minisymposium titled "Deep Learning and Deep Teaching", which he organized. Another talk in that minisymposium was by Drexel's Professor Pavel Grinfeld on "An Informal Approach to Teaching Calculus." An hour later, Gil's gave his second talk, "Teaching About Learning." It was an invited talk at the SIAM Conference on Applied Mathematics Education.... 続きを読む >>

Antarctic Ships, Fractal and RealDavid Wilson, from the Auckland University of Technology in New Zealand, has alerted me to this remarkable coincidence. Here is the "Burning Ship" from my post... 続きを読む >>