- #1
birulami
- 153
- 0
For a set of values v_1,\dots,v_n I recently stumbled over the formula
\frac{1}{N^2} \sum_{i<j} (v_i-v_j)^2
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 v_i 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.
\frac{1}{N^2} \sum_{i<j} (v_i-v_j)^2
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 v_i 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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