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  • Jon Perry
    Let R(n) be the number of unique representations of n, e.g. R(8) = 2 as 8=1*8, 8=2*4 and no others. R is NOT multiplicative, R(72) != R(8)*R(9) as: 72=1*72,
    Message 1 of 1 , Apr 1, 2003
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      Let R(n) be the number of unique representations of n, e.g.

      R(8) = 2 as 8=1*8, 8=2*4 and no others.

      R is NOT multiplicative, R(72) != R(8)*R(9) as:

      72=1*72, 2*36, 3*24, 4*18, 6*12, 8*9, .: R(72)=5, but R(8)=2, R(9)=2

      So a small prize of Wrox's (now bust) Beginning PHP is available to the best
      explanation of this phenomena. (note the winning result MUST be
      publishable).

      Jon Perry
      perry@...
      http://www.users.globalnet.co.uk/~perry/maths/
      http://www.users.globalnet.co.uk/~perry/DIVMenu/
      BrainBench MVP for HTML and JavaScript
      http://www.brainbench.com
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