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Unformatted text preview: m not in the set. For each of the 1998 points the line of slope m passing through that point intercepts the yaxis at some point, let y 1 ,..., y 1998 be those points, labeled in such a way as to have y 1 > y 2 > . .. > y 1998 . Notice that all of these points are different . Pick any point in the interval strictly between y 999 and y 1000 and draw the line through this point with slope m . That’ll do it! this page....
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 Spring '10
 AlbertoDelgado
 Combinatorics, Set Theory, Complex number, Jan Siwanowicz

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