http://i37.tinypic.com/118j0p1.jpg

uppon what law this transition was made?

how did they deside what is the real and what is the imaginate part?

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- Nov 9th 2009, 03:54 AMtransgalacticimagine and real part of inner product?
http://i37.tinypic.com/118j0p1.jpg

uppon what law this transition was made?

how did they deside what is the real and what is the imaginate part? - Nov 9th 2009, 07:15 AMHallsofIvy
The "decide" what are the real and imaginary parts of a number from the

**definition**: If x= a+ bi then the real part of x is a and the imaginary part is b.

They are also using the "linearity" of the inner product,

<au+ bv, w>= a<u, w>+ b<v, w>. and the fact that $\displaystyle <u, v>= \overline{<u, v>}$ so that $\displaystyle <u, av+ bw>= \overline<av+ bw, u>= \overline{a<v,u>}+ \overline{b<w,u>}$$\displaystyle = \overline{a}<u, v>+ \overline{b}<u, w>$. - Nov 9th 2009, 07:24 AMtransgalactic
thanks