Mathmatical Notation

Question

I am sorry that this question is not completely java orientated but it is for a jave program i am writing.
I have some notation I need help with:
g = [e1|...ek](i)
where e1 to ek are vectors and i is a vector. My question is this:
if it was just (e1)(i) g would just be a value, but i dont understand the [e1|...ek] bit throws me because i would end up with k different g values, or do i calculate the k values and total them up?
Thanks for any input.

Answer 1

first my english sucks so i hope you can understand me
g is a vector in a 'k' dimensions space
e1....ek is the base of the space
ex.for R3
e1=(0,0,1) e2=(0,1,0) e3=(1,0,0) is a base of the 3 dimension space
a vector of this space can be written like this
if g is a vector then g=(g1,g2,g3) OR g=(e1,e2,e3)(g1,g2,g3)
or with numbers if g=(1,2,3)
g=(1,2,3)=(1,2,3)((1,0,0),(0,1,0),(0,0,1))=(1,0,0)+(0,2,0)+(0,0,3)=(1,2,3)
get it?(i hope you do)
would end up with k different g values, or do i calculate the k >values and total them up?the vector g=[e1....ek] =[g1...gk] has a norm which you can calculate it
|g|=sqrt(g1^2+g2^2+....+gk^2)
if it was just (e1)(i) g would just be a valueWrong!!! It will be a vector too (e1)i=(1,0,,....0)i