Thread Links Date Links
Thread Prev Thread Next Thread Index Date Prev Date Next Date Index

Re: A question Level 1 <---> level 2 mappings; arithmetic versus applications



Nate Hayes wrote:
> For example, any given Level 1 interval [a,b] has the property:
>     [a,b] = (m;r)
> where (m;r) is a mid-rad interval and m=(a+b)/2, r=(b-a)/2.

Any *bounded* Level 1 interval.  At level 1 a+b and a-b don't exist
when either a or b is infinite.  At level 2 the only possible mid-rad
result is Entire, which loses almost all information unless the level 1
interval was Entire too (in which case a+b does not exist at level 2,
so a special rule would be followed).

Michel.
---Sent: 2010-06-30 20:31:49 UTC