Brian Tenneson wrote: > At any rate, you say you've fixed the real number > system. Why can't > the complex numbers be defined as ordered pairs of > Escultura-type real > numbers?
Right. I also thought that way. -----
I replied to Brian’s post elsewhere and said that this will be an improvement but that in practice mathematicians revert back to the standard notation and bring back the concept i because of the inconvenience of computing with ordered pairs. My remedy is to replace i by the operator j that rotates a vector in the Euclidean plane positively by pi/2 and i^theta by the operator h_theta that rotates the unit vector with initial point at the terminal point of the given vector positively by theta. Detail is in the appendix to my paper, The generalized integral as dual to Schwarz distribution, Neural, Parallel and Scientific Computations.
On Usenet he can write whatever he wants about his current title, but it looks like the institute forced him to include the Emeritus qualifier on his website :-)
Yes, people like this are allowed on the street.
Dirk Vdm --------- When the top is empty mathematics becomes transparent and only minor things catch attention. Moreover, racist needs frustrate surgery to remove sour grapes and placate inadequacy. E. E. Escultura
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