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Transformation proof help

  1. Oct 8, 2005 #1
    I have the transformation:

    z' = g(z) = f*z / (f-n) - f*n / (f-n)

    f >= 0 , n>= 0 constants that define an interval [n, f].

    I want to prove, z' <= z.
  2. jcsd
  3. Oct 8, 2005 #2
    One way I suppose you could do it is by saying the opposite, and then try to prove yourself wrong:

    [tex]\frac{fz-fn}{f-n}\geq z[/tex]
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