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P-1788, Can the issues that are being discussed regarding Motion 52 be resolved to peoples' satisfaction within a week or so? Baker On 11/23/2013 04:05 AM, Jürgen Wolff von Gudenberg wrote:
Bill I agree with Vladik. At least for set based intervals we have closedness for all operations. A NaN or NaI can only occur by an illegal explicit constructor call. And an exception closes this trapdoor. Jürgen Am 23.11.2013 05:04, schrieb Kreinovich, Vladik:For intervals proper, the defiition is the same always, f([x1],...,[xn]) is the smallest interval that contains the range of the given function f(x1,...,xn) on given intervals [x1], ..., [xn], i.e., the set of all the values {f(x1,...,xn):x1 is in [x1], ..., xn is in [xn]}. The questions arise when we want to extend this to situations when [xi] are not intervals (there are also definitions for decorations) ________________________________________ From: Bill Walster [billwalster@xxxxxxxxx] on behalf of G. William (Bill) Walster [bill@xxxxxxxxxxx] Sent: Friday, November 22, 2013 2:31 PM To: Kreinovich, Vladik; Michel Hack; stds-1788 Subject: Re: Motion 52: final "Expressions" text for vote Vladik, Then please point me to the purely mathematical foundation for computing with "well defined" intervals. Cheers, Bill
-- --------------------------------------------------------------- R. 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 ---------------------------------------------------------------