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 [Bring] programmers [to Championships], they may be small, quite and easy to miss while leaving for Atlanta but its hard to do anything robotic without them, I've tried. - Simon Strauss [more] |
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#14
31-03-2008, 12:28
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Re: Offensive Power Rankings for 2008
Could you help me make sure I understand the linear algebra involved?
I understand that p is what we're looking to find, or the average number of points a team contributes per match. s and M we can calculate from the results coming from each regional. Since Mp = s, we can conclude that p = (M-1)s (where M-1 denotes M inverse). It seems to me from thinking about it that M is symmetric, and as such M = M-1. Is that actually the case? I'll probably try to write a program to take a csv dump and spit out rankings if I understand the math. 
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