Thanks for writing the article on Jim; it was great catching up on what he’s been doing.

After getting his PhD from UNM, Jim worked in Los Alamos with Al Carasso and me on using PDEs for deburring images. He was a coauthor of what is probably the first paper using evolutionary PDEs for image enhancement

http://epubs.siam.org/doi/abs/10.1137/0715023

Mac

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https://www.mathjax.org/

The creation of such a stylesheet is described in MATLAB Answers.

https://www.mathworks.com/matlabcentral/answers/93851-how-can-i-use-mathjax-to-render-the-latex-math-in-the-published-output-in-matlab-7-10-r2010a

— Cleve

(Google: “matlab answers mathjax”)

]]>Thank you for an interesting post. I have a question regarding the publishing of MATLAB scripts with math. When I publish a script, following the instructions in the documentation, the result looks not nearly as nice as the math in your blog. Inline and display equations are both low resolution images and are not quite perfectly aligned with the text. Are there extra settings or templates that you can share that will make math in published MATLAB scripts look nicer?

I posted the same question in Answers as well, as it might be of interest to others too.

http://www.mathworks.com/matlabcentral/answers/298325-how-to-make-published-html-look-as-good-as-the-blogs-on-matlab-central

Thanks,

-naor ]]>

syms x a1 a2 a3 a4

n = 3;

P = a1*x^3 + a2*x^2 + a3*x + a4;

expand((-1)^n*subs(P,x,sqrt(x))*subs(P,x,-sqrt(x)))

ans =

a1^2*x^3 + 2*a1*a3*x^2 – a2^2*x^2 – 2*a2*a4*x + a3^2*x – a4^2

I suppose after each iteration, you could scale the coefficients so the leading coefficient is 1, but one would naturally do that before iteration 1, so the leading coefficient would never change from 1.

The interesting questions are how to resolve the problem when the root of largest magnitude is a complex conjugate pair, or what happens with multiple roots, etc.

]]>— Cleve ]]>

Thanks for a really interesting article on how roots() came to be. I’ve learned a lot from your posts! Regarding Fortran, have you checked out the GNU Fortran compiler? It’s Fortran 95 compliant with some newer features too, and you can download it alongside the Code::Blocks IDE to configure everything to run right out of the gate!

Peter

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