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Omni-MATH / Let n≥4 be an integer. Find all functions W : 1, dots, n^2 to mathbb R such that for every partition [n]=A∪B∪C into disjoint sets, ∑_(a∈A)∑_(b∈B)∑_(c∈C)W(a,b)W(b,c)=|A||B||C|. · Discussion
Discussing Let n≥4 be an integer. Find all functions W : {1, dots, n}^2 to mathbb R such that for every partition [n]=A∪B∪C into disjoint sets, ∑_(a∈A)∑_(b∈B)∑_(c∈C)W(a,b)W(b,c)=|A||B||C|. · Omni-MATH
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