Posts 11 - 20 of 29

Results for: 2012

CHEBFUN, Numerical Computing With Functions

I recently attended "Chebfun and Beyond", a three-day workshop in Oxford, England. Chebfun is a mathematical research and open source software project for numerical computing with functions. I plan to write a series of Cleve's Corner blog posts about Chebfun. ... read more >>

Supremum

Find the supremum of this function.... read more >>

Game of Life, Part 3, Sampler

The Game of Life. A few more of my favorite populations.... read more >>

Game of Life, Part 2, Sparse Matrices 2

The Game of Life, including the infinitely expanding universe, is a gorgeous application of MATLAB sparse matrices.... read more >>

Game of Life, Part 1, The Rule 1

This is part one of a series of posts about John Conway's Game of Life. One deceptively simple rule leads to an incredible variety of patterns, puzzles, and unsolved mathematical problems, and a beautiful use of MATLAB sparse matrices. ... read more >>

MATLAB Debut and the Potted Palm 1

The first MATLAB trade show booth at the CDC in December, 1984, included a potted palm.... read more >>

Can One Hear the Shape of a Drum? Part 3, Transplantation.

This is the third part of a series of posts about Marc Kac's 1966 paper in the American Mathematical Monthly [1]. This part is devoted to the proof that the drums have the same eigenvalues. ... read more >>

Can One Hear the Shape of a Drum? Part 2, Eigenfunctions 1

This is the second part of a series of posts about Marc Kac's 1966 paper in the American Mathematical Monthly [1]. This part is devoted to contour plots of the eigenfunctions. ... read more >>

Can One Hear the Shape of a Drum? Part 1, Eigenvalues 2

The title of this multi-part posting is also the title of a 1966 article by Marc Kac in the American Mathematical Monthly [1]. This first part is about isospectrality. ... read more >>

Pythagorean Addition 1

How do you compute the hypotenuse of a right triangle without squaring the lengths of the sides and without taking any square roots?... read more >>

Posts 11 - 20 of 29