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Can One Hear the Shape of a Drum? Part 2, Eigenfunctions
This is the second part of a series of posts about Marc Kac's 1966 paper in the American Mathematical Monthly [1]. This part...

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Can One Hear the Shape of a Drum? Part 1, Eigenvalues
The title of this multi-part posting is also the title of a 1966 article by Marc Kac in the American Mathematical Monthly...

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Pythagorean Addition
How do you compute the hypotenuse of a right triangle without squaring the lengths of the sides and without taking any...

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A Balancing Act for the Matrix Exponential
I have been interested in the computation of the matrix exponential, $e^A$, for a long time. A recent query from a user...

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Splines and Pchips
MATLAB has two different functions for piecewise cubic interpolation, spline and pchip. Why are there two? How do they...

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

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Symmetric Pair Decomposition
An esoteric fact about matrices is that any real matrix can be written as the product of two symmetric matrices. I've known...

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Exponential Growth
What, exactly, is exponential growth? What is e and what does it have to do with exponential growth? A simple MATLAB...

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Symplectic Spacewar
This is the probably the first article ever written with the title "Symplectic Spacewar". If I Google that title today,...

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Biorhythms
Biorhythms were invented over 100 years ago and entered our popular culture in the 1960s. You can still find many Web sites...

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Cleve’s Corner, Blogs Edition
This is the debut of the MATLAB Central Blogs edition of Cleve's Corner. For years, I have been writing a column named...

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Fibonacci Matrices
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