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Apr 16, 2014 at 18:50 history closed Tom LaGatta
Chris Godsil
Stefan Kohl
user9072
Noah Stein
Needs details or clarity
Apr 3, 2014 at 1:26 vote accept Tom LaGatta
Apr 3, 2014 at 1:09 review Close votes
Apr 16, 2014 at 18:50
Apr 3, 2014 at 1:02 comment added Tom LaGatta Voting to close my own question.
Apr 3, 2014 at 0:46 comment added Alexander Shamov Then I don't have a guess what you are computing in the case of more than 2 vectors.
Apr 3, 2014 at 0:40 comment added Tom LaGatta Thanks, Alexander. I clearly have screwed something up in the definition. The 2 vector case is supposed to be $\|i_1\|^2 + \|i_2\|^2 - \langle i_1, i_2 \rangle$, which is symmetric.
Apr 3, 2014 at 0:29 answer added Alexander Shamov timeline score: 1
Apr 3, 2014 at 0:22 comment added Alexander Shamov On the other hand, it does depend on the order in which you take the $i_n$'s. For instance, even for 2 vectors, say, $i_1$ and $i_2$, your sum of squared norms will be $\Vert i_1 \Vert^2 + \Vert i_2 \Vert^2 - \frac{\langle i_1,i_2 \rangle}{\Vert i_1 \Vert^2}$, which is not symmetric in $i_1,i_2$.
Apr 3, 2014 at 0:20 comment added Alexander Shamov What do you mean by "doesn't depend on the choice of basis"? It seems that you are not choosing a basis.
Apr 3, 2014 at 0:01 history asked Tom LaGatta CC BY-SA 3.0