This is the first of a multi-part series about the MATLAB random number generators.... read more >>

# Random Number Generators, Mersenne Twister

Posted by **Cleve Moler**,

Posted by **Cleve Moler**,

This is the first of a multi-part series about the MATLAB random number generators.... read more >>

Posted by **Cleve Moler**,

My experience with the forthcoming MATLAB watch exceeds my most optimistic expectations. The watch has not yet been announced officially, but a few of us have been testing prototypes for the past several weeks.... read more >>

Posted by **Cleve Moler**,

I came across this "ornamental geometric inequality" in a tribute to Lothar Collatz.... read more >>

Posted by **Cleve Moler**,

Single and double precision are combined to facilitate a triple precision accumulated inner product.... read more >>

Posted by **Cleve Moler**,

Iterative refinement is a technique introduced by Wilkinson for reducing the roundoff error produced during the solution of simultaneous linear equations. Higher precision arithmetic is required for the calculation of the residuals.... read more >>

Posted by **Cleve Moler**,

Steve Eddins has recently posted a series in his blog about colormaps. I want to add one more post. With release R2014b, we are retiring `jet` as the default `colormap`, after many years of faithful service. But did you ever wonder where `jet` originated, and how it came to be the default? And did you ever come across colormaps like `pink` and `bone`?... read more >>

Posted by **Cleve Moler**,

If $n$ is odd, replace $n$ by $3n+1$, if not, replace $n$ by $n/2$. Repeat. A famous conjecture made by Lothar Collatz is that no matter what value of $n$ is chosen to start, the process eventually terminates at $n=1$. Do not expect a proof, or a counterexample, in this blog.... read more >>

Posted by **Cleve Moler**,

The prime spiral was discovered by Stanislaw Ulam in 1963, and featured on the cover of Scientific American in March, 1964.... read more >>

Posted by **Cleve Moler**,

http://www.mathworks.com/moler/ncm/greetings.m... read more >>

Posted by **Cleve Moler**,

An incredible book, published in several editions from 1909 to 1933, by German mathematicians Eugene Jahnke and Fritz Emde, contains definitions and formulas for mathematical functions, hand-calculated tables of function values, and meticulous hand-drawn 2- and 3-dimensional graphs. An English edition was published by Dover in 1945.... read more >>