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Reddit Math Puzzle

RedditMathPuzzle110909

So it’s not nonlinear math, but this made for a fun five minutes over Sunday morning coffee. There’s a number of ways of solving it, I went for the geometric one myself but the same answer comes out in the end for all of them, hopefully πŸ™‚ And it’s nice to think you could still pass the Leaving Cert if you had to sit it again tomorrow, so hooray for Reddit.

Enjoy over coffee today! (My scribbled answer after the break…)… Read the rest

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Mini-Eureka

The markov diffusion process has an induced metric, and (Darling, 1998a) gives a connector; and Metric + Connection = GEOMETRY!!! Finally figured out what the hell he was talking about. This is a Good Thingβ„’.

Ahem.

It may not actually make a lot of sense put that way though, I suppose πŸ˜€

Basicly, RWR Darling wrote a few papers on a kind of filter called the Geometrically Intrinsic Nonlinear Recursive Filter in 1998 and for my PhD thesis I’m applying it to a specific area of robotics; but I’ve been having some problems with decyphering the maths (it’s somewhat past where engineering maths left off). And every so often, the four tons of math I’ve been chewing on in my head crystalises a little more and I get a better picture of what he’s talking about; and that happened tonight in the middle of writing a position paper for ICINCO’09.… Read the rest

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