The adjacency matrix of a hypercube demonstrates the new MATLAB graph object.... read more >>

# Hypercubes and Graphs

Posted by **Cleve Moler**,

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- History,
- Matrices

Blogs

Posted by **Cleve Moler**,

The adjacency matrix of a hypercube demonstrates the new MATLAB graph object.... read more >>

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- History,
- Matrices

Posted by **Cleve Moler**,

MIT's Professor Daniel Frey recently introduced me to an ancient mechanical puzzle known as "Chinese Rings", "Patience", or "Baguenaudier." I have modified Daniel's simulator to produce a new app. The state space of the puzzle forms a hypercube.... read more >>

**Category:**- Algorithms,
- Fun,
- Graphics,
- History

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**,

A headline in the *New York Times* at the end of 2016 said "Growth of U.S. Population Is at Slowest Pace Since 1937". This prompted me to revisit an old chestnut about fitting and extrapolating census data. In the process I have added a couple of nonlinear fits, namely the logistic curve and the double exponential Gompertz model.... read more >>

**Category:**- Algorithms,
- Calculus,
- History,
- Numerical Analysis

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**,

When I was in high school in the 1950's, I didn't know anything about matrices. But I nearly encountered one when I wrote a paper for my physics class about the color scheme that allowed new color TV broadcasts to be compatible with existing black-and-white TV receivers.... read more >>

Posted by **Cleve Moler**,

(Please replace the erroneous posting from yesterday, Nov. 28, with this corrected version.)... read more >>

**Category:**- Matrices,
- People,
- Singular Values

Posted by **Cleve Moler**,

Here is a very short course in Linear Algebra. The Singular Value Decomposition provides a natural basis for Gil Strang's Four Fundamental Subspaces.... read more >>

**Category:**- Matrices,
- People,
- Singular Values

Posted by **Cleve Moler**,

My favorite ordinary differential equation provides a good test of ODE solvers, both numeric and symbolic. It also provides a nice illustration of the underlying existence theory and error analysis.... read more >>

Posted by **Cleve Moler**,

I am launching a project that I call *Cleve's Laboratory*. My most recent Cleve's Corner column in MathWorks News & Notes is about the project. The MATLAB app itself is available for download from the MATLAB Central File Exchange.... read more >>

**Category:**- Fun,
- History,
- Logo,
- Numerical Analysis

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

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