Comment on UwU brat mathematician behavior
wetbeardhairs@lemmy.dbzer0.com 3 weeks agoThe fun starts when you study quaternions
i^2 = j^2 = k^2 = ijk = −1
Comment on UwU brat mathematician behavior
wetbeardhairs@lemmy.dbzer0.com 3 weeks agoThe fun starts when you study quaternions
i^2 = j^2 = k^2 = ijk = −1
pticrix@lemmy.ca 3 weeks ago
This can’t be real
HappyFrog@lemmy.blahaj.zone 3 weeks ago
They’re actually very useful: en.wikipedia.org/wiki/Quaternion
qjkxbmwvz@startrek.website 3 weeks ago
(…I think you may have gotten whooshed…)
HappyFrog@lemmy.blahaj.zone 3 weeks ago
Hehe, maybe a little, but wanted to share just in case someone didn’t know :3
codexarcanum@lemmy.dbzer0.com 3 weeks ago
It gets worse actually. You can define a number system using any power of 2 amount of i-like units in a similar relationship to quaternions using the Cayley-Dickson construction
Fascinatingly, you lose some property of the algebra at each step. Quaternions aren’t commutative: ABC != CBA. Octonians aren’t associative: (AB)C != A(BC). Once you get into 16 i’s with subscripts, it really gets crazy.
serenissi@lemmy.world 3 weeks ago
this isn’t real