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How to find an optimal min/max combination in arbitrary set of 2-tuples

  1. Sep 20, 2012 #1
    I've looked at min/max and critical points. Either I am not understanding them, or they don't apply to the general category of problems I am trying to solve, which come in this form:

    Let there be a sequence X of ordered pairs (x, y).

    Find a best term within X that satisfies the following conditions:

    - The term's 1st index is minimized out of all possible 1st index elements in X.
    AND
    - The term's 2st index is maximized out of all possible 2nd index elements in X.

    Thanks in advance for any help. I am hoping to find a non-heuristic solution, if any exist.
     
  2. jcsd
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