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Monotonic Transformation Clarification

  1. Sep 29, 2010 #1
    So I understand that a monotonic transformation preserves the order of a function, but I was wondering: could you perform a transformation by multiplying by a variable?

    For example the formula:

    U = (XY) - (XY/(Z+1))

    Is it an acceptable monotonic transformation to multiply the whole function by (Z+1) [assuming X,Y,Z > 0]? I can't see any reason why not, but I can't find a definite answer.

  2. jcsd
  3. Sep 30, 2010 #2
    No dice? Question unclear or just stupid?
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