Re: bijection of R: R <--> Rx.....xR

It's amazing how fast results come back on this system these days.
I preferred it when I would come check in the next day.
It gave me some time to think.
Anyhow, it does not look like a clean mechanism to go even from R to
RxR.
It is radix dependent and is not actually a mathematical relationship.
I got into this problem from studying angular coordinate systems versus
cartesian.
There it is a pretty simple operation to draw forth an integer value
atop the continuous angle if reals are allowed as they are in the
cartesian rep.
So I can make the argument that angular coordinate systems can hold
more information than their cartesian counterparts. I suppose even this
can be called number cutting, but it is more meaningful. The integer
value is somewhat like a history. Even though the position wraps the
additional information is useful, particularly if you are looking at an
angular velocity.

-Tim

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