01/06/2008, 01:10 AM
Quote:Yes it is imaginary unit =sqrt(-1) which is infinitesimal
No, that's nonsense. \( (\sqrt{-1})^2 = -1 \) where as \( (dx)^2 \approx 0 \) so they cannot be the same thing. If they were of slightly different "scales" then I would be more inclined to agree, but 0 and -1 are nowhere near the same number! This is a contradiction that proves your assumption \( \sqrt{-1} = dx \) is false.
Andrew Robbins