From: Xela@yabbs
To: JasonLee@yabbs
Subject: part deux
Date: Mon Mar  7 22:11:32 1994

The designation of space-time coordinates involves the recognition of 
position and time of an event p.  p has space-time coordinates [x,y,z,t] 
relative to coord-system S and clock C.  p has space-time coord 
[x',y',z',t'] relative to S' and clock C'.

If you can recall from linear algebra, a mapping (or linear 
transformation) can be defined such that for event p at [x,y,z,t] with 
respect to S and C:

T(v):R^4 -> R^4     and     T(v)[x,y,z,t] = [x',y',z',t']

T(v), read T sub v, is one-to-one and onto.  That is, each value in the 
domain has a unique value in the range, and each value in the domain is 
guaranteed an "image" or a transformation, from T(v).

Because my screen is looking funny, I'll continue this in the next 
message...