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

Re: Motion: No level 3-4 stuff except interchange format



Yes, Michel, you are right. I am sorry for the mistake.

The intention was just to exclude [-oo, -oo] and [+oo, +oo] from being intervals of T in order to avoid well known inconsistencies in the arithmetic.

Ulrich


Am 18.11.2011 18:27, schrieb Michel Hack:
Ulrich Kulisch wrote:
-oo and +oo are elements of all F formats.
So in the last paragraph it should read:
    where xlo and xhi are finite F-numbers.
Note that John Pryce had written:
   That is, the nonempty members of T comprise all
   intervals xx=Ýxlo,xhiš, where xlo and xhi are F-numbers.
I thought we WERE supporting unbounded intervals, and those are denoted
by having IEEE Inf as endpoints.  A separate motion restricts MEMBERSHIP
to finite numbers, which means that infinite endpoints are not included,
whereas finite endpoints are included.  Topologically both interval types
are closed.

Michel.

---Sent: 2011-11-18 17:33:21 UTC



--
Karlsruher Institut für Technologie (KIT)
Institut für Angewandte und Numerische Mathematik (IANM2)
D-76128 Karlsruhe, Germany
Prof. Ulrich Kulisch

Telefon: +49 721 608-42680
Fax: +49 721 608-46679
E-Mail:ulrich.kulisch@xxxxxxx
www.kit.edu
www.math.kit.edu/ianm2/~kulisch/

KIT - Universität des Landes Baden-Württemberg und nationales Großforschungszentrum in der Helmholtz-Gemeinschaft