Find the optimum traveling salesman tour through the capitals of the 48 contiguous states in the USA.... read more >>

# USA Traveling Salesman Tour 2

Posted by **Cleve Moler**,

**Category:**- Algorithms,
- Fun,
- History,
- Random Numbers

Blogs

Posted by **Cleve Moler**,

Find the optimum traveling salesman tour through the capitals of the 48 contiguous states in the USA.... read more >>

**Category:**- Algorithms,
- Fun,
- History,
- Random Numbers

Posted by **Cleve Moler**,

How far apart can you expect two points chosen at random in the unit square to be? I found this problem on the YouTube channel maintained by Presh Talwalkar, Mind Your Decisions. He correctly calls it a very hard puzzle. At first, I guessed the answer might be $1/2$. But the correct answer is more interesting than that.... read more >>

**Category:**- Calculus,
- Fun,
- Random Numbers,
- Symbolic

Posted by **Cleve Moler**,

"ULP" stands for "unit in the last place." An *ulps plot* samples a fundamental math function such as $\sin{x}$, or a more esoteric function like a Bessel function. The samples are compared with more accurate values obtained from a higher precision computation. A plot of the accuracy, measured in ulps, reveals valuable information about the underlying algorithms.... read more >>

Posted by **Cleve Moler**,

I don't recall where I found this seasonal fractal. And I can't explain how it works. So please submit a comment if you can shed any light on either of these questions.... read more >>

**Category:**- Fractals,
- Fun,
- Graphics,
- Random Numbers

Posted by **Cleve Moler**,

This is the third in a multi-part series on the MATLAB random number generators. MATLAB has used variants of George Marsaglia's ziggurat algorithm to generate normally distributed random numbers for almost twenty years.
... read more >>

**Category:**- Algorithms,
- History,
- People,
- Performance,
- Random Numbers

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