Online Appendix to: Extended Wavelets for Multiple Measures

نویسندگان

  • ANTONIOS DELIGIANNAKIS
  • NICK ROUSSOPOULOS
چکیده

PROOF OF THEOREM 1. Our proof bears similarities to the corresponding proof for the 0-1 Knapsack problem. A significant observation is that whenever we select a set Picked Set of coefficient values from a combined coefficient Coeff for storage, any candidate set subOpt of Coeff that will later be inserted into the max-heap for consideration cannot have a larger per-space benefit than that of PickedSet. We will prove this by contradiction. Assume that subOpt has a larger per-space benefit than Picked Set. By the way the candidate sets are formed, the following observations hold:

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تاریخ انتشار 2007