# Random Number Generators, Mersenne Twister

Posted by Cleve Moler,

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

# Experiencing the MATLAB Watch7

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 >>

# An Ornamental Geometric Inequality2

Posted by Cleve Moler,

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

# Iterative Refinement for Solutions to Linear Systems4

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 >>

# Origins of Colormaps2

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 >>

# The Three n Plus One Conjecture2

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 >>

# Prime Spiral2

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 >>

# Season’s Greetings, 20142

Posted by Cleve Moler,