Do we have implicit semi-infinites...?
Folks,
I have been contemplating that split function we discussed
earlier. In so far as is possible, I would like to write
it independent of the underlying interval form. In effect,
not caring whether one uses explicit (inf-sup or [a,b] form)
or implicit (mid-rad or <m,r> form).
But I am running up against the differences in the set of
intervals these two forms can represent. Specifically, I
need to know something about how (or whether) implicit forms
will represet semi-infinite intervals.
How does one (or can one) represent a semi-infinite interval
of the explicit form [a,+inf] as an implicit <m,r>?
Can one represent Entire? Perhaps as <0,+inf>?
Can one use r = +inf at all?
Can one represent Empty? Say <0,-inf>?
Can one use r < 0 at all?
Or have these things been decided yet?
Anything you can tell me...
Thanks,
Dan