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Formulas
Now there are a couple of nice formulas which we will get useful in a couple of sections. Consider that these formulas are only true if starting at i = 1. You can, obviously, derive other formulas from these for different starting points if you require to.
Here is a quick illustration on how to use such properties to quickly calculate a sum that would not be easy to do through hand.
(1 0 3 21 -1 1 -1 1) find A-1
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Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follow
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I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems
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