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

# Game of Life, Part 2, Sparse Matrices 2

Posted by **Cleve Moler**,

**Category:**- Matrices

Blogs

Posted by **Cleve Moler**,

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

**Category:**- Matrices

Posted by **Cleve Moler**,

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 >>

**Category:**- Matrices

Posted by **Cleve Moler**,

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

**Category:**- History

Posted by **Cleve Moler**,

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 >>

**Category:**- Eigenvalues

Posted by **Cleve Moler**,

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 >>

**Category:**- Eigenvalues,
- Graphics

Posted by **Cleve Moler**,

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 >>

**Category:**- Eigenvalues

Posted by **Cleve Moler**,

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 >>

**Category:**- Algorithms

Posted by **Cleve Moler**,

I have been interested in the computation of the matrix exponential, $e^A$, for a long time. A recent query from a user provides a provocative example.... read more >>

**Category:**- Matrices

Posted by **Cleve Moler**,

MATLAB has two different functions for piecewise cubic interpolation, `spline` and `pchip`. Why are there two? How do they compare?
... read more >>

**Category:**- Algorithms

Posted by **Cleve Moler**,

We all know that Friday the 13th is unlucky, but is it unlikely?... read more >>

**Category:**- Fun

*These postings are the author's and don't necessarily represent the opinions of MathWorks.*

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