Jump to content

Wikipedia:Reference desk/Archives/Mathematics/2012 April 29

From Wikipedia, the free encyclopedia
Mathematics desk
< April 28 << Mar | April | May >> April 30 >
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.


April 29

[edit]

Music computation

[edit]

Given the beginning of a musical composition, how to mathematically compute the rest? 118.70.177.182 (talk) 04:37, 29 April 2012 (UTC)[reply]

Of one that already exists, or for the generation of new music?--Gilderien Chat|List of good deeds 11:13, 29 April 2012 (UTC)[reply]
Of course, there are multiple ways to end a piece from a given start. However, you could make a program that would apply a standard series of variations (changes in instrumentation, substituting chords for single notes, counterpoint, changes in octave, etc.) to a given musical phrase. StuRat (talk) 11:49, 29 April 2012 (UTC)[reply]
Maybe Analytic continuation?-77.127.57.229 (talk) 12:43, 29 April 2012 (UTC)[reply]

Latex package for Dynkin diagrams

[edit]

Does anyone know of a decent LaTeX package for drawing Dynkin diagrams? I can only make them look nice if I draw them "manually" (basically with bullets and rules, manually adjusting every space so that it comes out right). I have tried (perhaps inexpertly) to use xypic as well, but the diagrams come out too big (and just not looking quite right either). Does anyone know of a more targeted solution? Sławomir Biały (talk) 12:07, 29 April 2012 (UTC)[reply]

Are you aware of http://lesha.goder.com/dynkin-diagrams.html ? Looie496 (talk) 17:54, 29 April 2012 (UTC)[reply]
Yes, I had seen that a long time back. They didn't really look good enough to me to warrant the pain of and lack of flexibility of importing eps files. I'm looking for a flexible (or at least hackable) LaTeX solution. Given that things like xypic and amscd are possible, surely there must be a native LaTeX solution out there? Sławomir Biały (talk) 21:10, 29 April 2012 (UTC)[reply]
I've been using tikz to draw finite automata recently. It's a graph drawing package, and it should be able to do Dynkin diagrams too; I didn't read any more of the documentation than what I needed for my own stuff, but I noticed it has support for multiple edge types, so it probably has what you need.--130.195.2.100 (talk) 23:26, 29 April 2012 (UTC)[reply]
Thanks, that looks very promising. I'll give it a try. Sławomir Biały (talk) 12:30, 30 April 2012 (UTC)[reply]
PGF/TikZ :-) 86.104.57.242 (talk) 10:23, 6 May 2012 (UTC)[reply]
Have you tried dynkin-diagrams (https://ctan.org/pkg/dynkin-diagrams)?