Re: Potential well and decorations
On 07/04/2011 12:51 PM, Nate Hayes wrote:
Dominique Lohez wrote:
Nate Hayes a écrit :
Dominique Lohez wrote:
.
.
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If for example we have the interval extension
P(X) = U(X) \union V(X)
with
U(X) = sqrt((|X| \intersect [roundDown(sqrt(a)),+Inf])^2-a)
V(X) = -sqrt(a-(|X| \intersect [0,roundUp(a)]))
If I encountered a function like Dan's, that is,
if (abs(x) > sqrt(a))
y = sqrt(x^2-a);
else
y = - sqrt(a-x^2);
end
in a set of computations involving it, rather than
programming it as above, I might, depending on priorities
and relative importance, program it directly in terms of,
say, truncated series, and supply the appropriate
decoration upon return from my "user-supplied" function,
so the arithmetic system would view it as an atomic
operation. Would that lessen the burden on the
requirements of a decoration scheme? In any case,
many users may not have the luxury of going down
such a route.
Baker
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Ralph Baker Kearfott, rbk@xxxxxxxxxxxxx (337) 482-5346 (fax)
(337) 482-5270 (work) (337) 993-1827 (home)
URL: http://interval.louisiana.edu/kearfott.html
Department of Mathematics, University of Louisiana at Lafayette
(Room 217 Maxim D. Doucet Hall, 1403 Johnston Street)
Box 4-1010, Lafayette, LA 70504-1010, USA
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