Timeline for Is there such a matrix in $SO(n)$?
Current License: CC BY-SA 3.0
8 events
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Apr 2, 2014 at 20:34 | comment | added | მამუკა ჯიბლაძე | @EdenHarder Thank you very much for your effort! I think I understand my blunder now. | |
Apr 2, 2014 at 11:15 | comment | added | Eden Harder | @მამუკაჯიბლაძე I give an example for $n=2$ in a Mathematica file(click the link please) | |
Apr 2, 2014 at 8:20 | comment | added | მამუკა ჯიბლაძე | @EdenHarder Sorry seems I indeed am stupid today. $SO$ transformations preserve angles between any vectors, either normalized or not, don't they?? | |
Apr 2, 2014 at 8:05 | comment | added | Eden Harder | @მამუკაჯიბლაძე Thanks for your comment! Note that $a'_i, b'_i$ may be un-normalized. | |
Apr 2, 2014 at 5:59 | comment | added | მამუკა ჯიბლაძე | Either I am completely stupid today or for any such $O$ one has angle$(a_i\to a_j)$=angle$(a_i'\to a_j')$ and angle$(b_i\to b_j)$=angle$(b_i'\to b_j')$. Then, if angle$(a_i'\to a_j')$=angle$(b_i'\to b_j')$ for every $i$ and $j$, any such $O$ will do whereas if the equality fails for at least some pair, no such $O$ exists. | |
Apr 2, 2014 at 2:15 | history | edited | user25607 | CC BY-SA 3.0 |
added 139 characters in body
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Apr 2, 2014 at 1:05 | review | First posts | |||
Apr 2, 2014 at 8:22 | |||||
Apr 2, 2014 at 0:47 | history | asked | user25607 | CC BY-SA 3.0 |