Monday 3 December 2007

Euro Draw

the euro championship was drawn at the weekend.

First an explanation of the maths system used to choose the groups.

Seedings=

x^2 + 2xycos(2pi/n) + y^2 = 1 1 / 2pi/n \ --- ( 1 + ----------- ) n \ sin(2pi/n) /
f(x1,x2,..,xN) = PROD (xi + xj) i<>j N[k+1] N[k] 1 N[k] d[k] - D[k] ------ = ---- - ---- = ---------------- D[k+1] D[k] d[k] D[k] d[k] x(u) = - -- / 1 - ( ----------------- ) 2u / \ u sin(u) + cos(u) / _ _ 1 1 y(u) = -- ----------------- - cos(u) 2u _ u sin(u) + cos(u) _

Simple. No?

Or to put it another way

Group C- Italy, France, Romania, Netherlands.

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