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Gabe Goldberg
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Summing the max value of the distinct pairs in a setmultiset

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Say one has $A \subset N$a multi set of natural numbers, or the positive integers if that’s bettermore useful. If $\#A = n$ and one knows $\sum_{a \in A} a$

What is it possible to say about $\sum_{a,a^{‘}\in A, a \neq a^{‘}} max(a,a^{‘})$?

Any insight or knowledge of something like this?

Say one has $A \subset N$, or the positive integers if that’s better. If $\#A = n$ and one knows $\sum_{a \in A} a$

What is it possible to say about $\sum_{a,a^{‘}\in A, a \neq a^{‘}} max(a,a^{‘})$?

Any insight or knowledge of something like this?

Say one has a multi set of natural numbers, or positive integers if that’s more useful. If $\#A = n$ and one knows $\sum_{a \in A} a$

What is it possible to say about $\sum_{a,a^{‘}\in A, a \neq a^{‘}} max(a,a^{‘})$?

Any insight or knowledge of something like this?

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