> > 1. Please explain what a vector of norm 4 and norm > 8 are
> Don't know.
> > (Here he gives +-(3,-1,-1,-1) as norm 4 and > +-(1,3,1,-1_
> 9 + 1 + 1 + 1 = 12; 1 + 9 + 1 + 1 = 12.
> > as norm 8, also +-(-3,-1,-1,-1) as norm 4 and > +-(1,-3,1,-1) as norm 8
> All four have length = sqr 12.
Right
> > 2. Don't see why the inproduct of > (3,-1,-1,-1).(1,3,1,-1) = -1 and > > (-3,-1,-1,-1).(1,-3,1,-1) =2
> Those dot * products are both 0. > What's an inproduct? > Anything like an end product?
That's what I am trying to figure out. I think inproduct is the German name for inner product, but it is obviously not the typical inner product
> > 3. The squared lengths of the vectors are 1/12, > 7/12, 13/12 and 19/12, > > how are these obtained (dot product?) Obviously > these are not even.
> What vectors? > The length of a vector v is |v| = sqr v*v.
Right
> > Please see the link..
> No, I'm not going to search through the site to find > what vectors you are > considering.
Nobody will!
It's only about half a page, I can't cut and paste it in because of the graphics:) The basis vectors (e1, e2, e3, and e4) are spanned by the ones I give above (w,x,y,z)
> > > 1. Please explain what a vector of norm 4 and norm 8 are
> > > (Here he gives +-(3,-1,-1,-1) as norm 4 and +-(1,3,1,-1_
> > 9 + 1 + 1 + 1 = 12; 1 + 9 + 1 + 1 = 12.
> > > as norm 8, also +-(-3,-1,-1,-1) as norm 4 and > > > +-(1,-3,1,-1) as norm 8 > > > 2. Don't see why the inproduct of > > > (3,-1,-1,-1).(1,3,1,-1) = -1 and > > > (-3,-1,-1,-1).(1,-3,1,-1) =2
> > Those dot * products are both 0. > > What's an inproduct?
> That's what I am trying to figure out. I think inproduct > is the German name for inner product, but it is obviously > not the typical inner product
> > > 3. The squared lengths of the vectors are 1/12, > > > 7/12, 13/12 and 19/12, > > > how are these obtained (dot product?) > > What vectors?
> > > Please see the link..
> > No, I'm not going to search through the site to find > > what vectors you are considering.
> Nobody will!
> It's only about half a page, I can't cut and paste it in because of the > graphics:) The basis vectors (e1, e2, e3, and e4) are spanned by the > ones I give above (w,x,y,z)
I've looked at it and don't like reading TeX which shows as raw ascii TeX. Nor does coding interest me. Thus I have to wade thru it to find what the vector and lattice stuff is about. The lattices aren't explained, not even L^+ and L^-. As for graphics, forget it, they don't come thru.
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