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Will someone make a formal motion? Re: mid-rad, inf-sup, a caution...

P-1788:

Would someone care to make a motion along the following lines?

"Conversion between midpoint-radius text format and standardized
inf-sup numbers and conversion between standardized inf-sup
numbers and midpoint-radius text formats will be standardized.
Otherwise, the standard will be silent concerning midpoint-radius
representations and midpoint-radius arithmetic."

I think we should have such a motion now while the discussion is
fresh in peoples' minds, and such a motion would supply needed
guidance.  Whomever (if anyone) moves it should feel free to
alter it in any way, including removing "not"  (i.e. affirming
standardization of mid-rad), referring to the Vienna proposal,
etc.

Baker

On 5/11/2010 13:24, Nate Hayes wrote:

Arnold Neumaier wrote:

Nate Hayes wrote:

.
.
.


Section 5.2 of the Vienna proposal discusses conversion of intervals
to midrad format, and Section 6.8 to midrad text output. The opposite
conversion direction is discussed only in Section 6.3 (midrad text to
interval).

But I see now that the proposal forgot to add in Section 2.5 a
constructor that takes two floats x,r, and creates the tightest
interval containing x+-r.

This is enough to interface to the engineering world.




I think you're probably right, Arnold. My understanding of Hossam's
suggestion is basically what you mention, but with conversion to and
from some additional binary mid-rad format (not just text mid-rad,
e.g.). Maybe the new constructor you mention would be all that's
required to accomplish this?

.
.
.

Nate




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R. Baker Kearfott,    rbk@xxxxxxxxxxxxx   (337) 482-5346 (fax)
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URL: http://interval.louisiana.edu/kearfott.html
Department of Mathematics, University of Louisiana at Lafayette
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