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Posts 121 - 130 of 330

Kuramoto Model of Synchronized Oscillators

Fireflies on a summer evening, pacemaker cells, neurons in the brain, a flock of starlings in flight, pendulum clocks mounted on a common wall, bizarre chemical reactions, alternating currents in a power grid, oscillations in SQUIDs (superconducting quantum interference devices). These are all examples of synchronized oscillators.... read more >>

The QR Algorithm Computes Eigenvalues and Singular Values

The QR algorithm is one of the world's most successful algorithms. We can use animated gifs to illustrate three variants of the algorithm, one for computing the eigenvalues of a nonsymmetric... read more >>

Hadamard Matrices

I have just returned from the ICIAM2019 conference in Valencia, Spain. It was a huge conference -- 4,000+ attendees, dozens of prize and invited talks, hundreds of parallel minisympsia. I gave a talk in a two-part minisymposium organized by Nick Higham and Rob Corless. I outlined the first part of the talk in this blog a month ago. This post outlines the second part, which was about Hadamard matrices. Some of it is taken from a post in this blog five years ago.... read more >>

The World’s Simplest Impossible Problem 3

(This is a reprint of the second ever Cleve's Corner from the Winter 1990 MathWorks Newsletter).The other day at lunch with a couple of other MathWorks people, I posed the following... read more >>

Bohemian Matrices in the MATLAB® Gallery 2

We will have a two-part minisymposium on "Bohemian Matrices" at ICIAM2019, the International Congress on Industrial and Applied Mathematics in Valencia, Spain, July 15-19. This is an outline of my talk.... read more >>

Matrix Eigenvalue Dating Service 1

This is a summary of my talk at the conference Celebrating the Centenary of James H. Wilkinson's Birth at the University of Manchester, May 29.... read more >>

An Eigenvalue Sensitivity Example

On May 29-30, I plan to attend a conference, organized by Nick Higham, at the University of Manchester. The title of the conference is... read more >>

Continued Fractions and Function “rat” 1

Let me tell you about MATLAB's controversial function rat.... read more >>

Makima Piecewise Cubic Interpolation

This post is by my colleague Cosmin Ionita.... read more >>

The Reuleaux Triangle and Curves of Constant Width

Why are manhole covers round? It is so they won't fall through the hole they are intended to cover. They have the same diameter regardless of where it is measured. If the hole has a slightly smaller diameter, it is not possible to orient the cover so that it will fall through. A square or rectangular cover can be turned slightly and it will easily fit through the hole.... read more >>

Posts 121 - 130 of 330

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