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[University MIP] The use of colons in sigma notation.

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The index means "sum over all j, such that there is an i so that (i,j) is in A"

I assume you are reading about flows on networks?
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: means "such that". really it should be written with braces around it, like {j : (i,j) ∈ A}. you're just summing over the elements of a set.

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