2 ms·
>That is not true. You can mathematically divide by zero, just not over the Reals (or any other nonzero commutative ring). There is no reason that you cannot de
by coherentpony 12y ago
>That is not true. You can mathematically divide by zero, just not over the Reals (or any other nonzero commutative ring). There is no reason that you cannot define a number system where division by zero is allowed, however in doing so you loose some nice properties that we enjoy about the Real numbers. A common example from math is the real projective line (which adds a point at infinity, and defines that a/0=infinity when a=/=0).
I should have been a little clearer there. Thanks.
I absolutely agree with you. But the domain and range of the functions I defined were all subsets of the reals. And computers don't deal with number systems other than the reals very well. (In fact, computers don't even deal with the reals themselves very well either!)
There are some packages that allow one to operate over those spaces, but they are not commonly used in the commercial space. And, of course, it's fairly easy to extend the reals to the complexes.
Thanks for pointing that out.