Print Story Cyclotomic Polynomials
By Alan Crowe (Wed Dec 27, 2006 at 01:10:24 PM EST) maths, algebra, polynomials, cyclotomic polynomials, roots of unity (all tags)
I recently had a little success with trying to understand the Möbius transform. I noticed that cyclotomic polynomials have the same technical issue of looking at divisors, so I thought I would have a go at computing one of them, while I was on a roll.

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Print Story I made my first Grothendieck group
Logic & Maths
By Alan Crowe (Sat Mar 11, 2006 at 07:25:53 AM EST) mathematics, algebra, abstract algebra, group theory (all tags)

I started with {0,1} for my set and logical-or as my law of composition. Then I carried out the construction to get my Grothendieck group. It turned out to be embarrasslingly small, but, heh, we all have to start somewhere

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Print Story Modest 3D effects with SVG, version 2.0.
By NoMoreNicksLeft (Thu Feb 23, 2006 at 11:17:59 PM EST) 3d, svg, rendering, algebra, matrices, javascript (all tags)
I posted this to a diary on k5 two months ago.

At that point, it was rendering a single XYZ point with correct perspective. I've since updated it.

(14 comments, 156 words in story) Full Story