birulami
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For a set of values [itex]v_1,\dots,v_n[/itex] I recently stumbled over the formula
[tex]\frac{1}{N^2} \sum_{i<j} (v_i-v_j)^2[/tex]
where the sum is meant to be a double sum over j between 1 and N and i between 1 and j. First I thougth it should have something to do with variance. But this is obviously not the case. In my case, the [itex]v_i[/itex] are vectors, but this may or may not be important for the question:
Does this formula ring any bells? Is it something with a name? Does it have an interesting simplification?
Any hints appreciated.
[tex]\frac{1}{N^2} \sum_{i<j} (v_i-v_j)^2[/tex]
where the sum is meant to be a double sum over j between 1 and N and i between 1 and j. First I thougth it should have something to do with variance. But this is obviously not the case. In my case, the [itex]v_i[/itex] are vectors, but this may or may not be important for the question:
Does this formula ring any bells? Is it something with a name? Does it have an interesting simplification?
Any hints appreciated.
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