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Math magic
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milivella
Apr 22, 2007, 8:48:30 PM4/22/07
to
A: Pick one of the 100 most-capped players (no goalkeepers) in the
history of Italian national team.
history of Italian national team.
B: Ok, I pick Gianluca Vialli.
A: Perfect. If you tell me which is his goals/caps ratio, I'll tell
you which is his position in the goals/caps ranking. *Without looking
at the data of the other players*.
B: He has 59 caps and 19 goals, so his ratio is 0.27.
A: Then he is the 22nd player or so in the goals/caps ranking.
B: He is 23rd! How have you done it?
A: I used the following formula:
rank=e^[(ratio-0.8811)/-0.1973]
End.
post scriptum I: The formula for the 85 most-capped Brazilian players
is:
rank=e^[(ratio-1.0074)/-0.2341]
post scriptum II: e is 2.71828182845904.
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