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Questions on the subject additive combinatorics, also known as arithmetic combinatorics, such as questions on: additive bases, sum sets, inverse sum set theorems, sets with small doubling, Sidon sets, Szemerédi's theorem and its ramifications, Gowers uniformity norms, etc. Often combined with the top-level tags nt.number-theory or co.combinatorics. Some additional tags are available for further specialization, including the tags sumsets and sidon-sets.

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Distribution of a knapsack problem

The optimal value of $p(A)$ can easily be found by ordering the items by nonincreasing profits, and packing the first $M$ items into the knapsack. The average value of a packing is $(\sum_{i \in N}p_{ …
Philippe Olivier's user avatar