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MathGroup Archive 1996

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"Optimized" Plane

  • To: mathgroup at smc.vnet.net
  • Subject: [mg4617] "Optimized" Plane
  • From: TTCJ34A at prodigy.com (DR JOHN C ERB)
  • Date: Wed, 21 Aug 1996 03:25:34 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

August 09, 1996
1:50 P.M. (CDT)

Greetings;

I have a 3D array of values -- that is, for the x,y,z rectangular 
coordinate system I have an array
of values (e.g., air densities) at each x,y,z coordinate in a given 
volume of space.

Question: How do I find a plane which, if one adds up all the values 
in that plane (values in the plane
are determined by the value assgined to the volume elements which the 
plane intersects), such that
the sum of all the values in the plane are greater than the sum of 
values for all other planes?
Stating the problem another way -- how does one find the "densest" 
plane?

Thank you.
John C. Erb

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