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Yes, indeed. I've been viewing "max" and "min" exactly as Vladik stated, as natural extensions of the point functions, not to be confused with "mag" and "mig". I've found both concepts to be of use in practice. Baker On 10/06/2013 07:04 PM, Kreinovich, Vladik wrote:
In line with all other operations of interval arithmetic, a natural idea for max(A,B) for two intervals A and B should be the set of all possible values max(a,b) when a is in A and b is in B. In this case, max([al,au],[bl,bu]) = [max(al,bl),max(au,bu)]. An example of A = [0,2] and B = [1,1] for which we get max(A,B) = [1,2], shows that this can be neither A not B -----Original Message----- From: Richard Fateman Sent: Sunday, October 06, 2013 5:51 PM I would expect that if a,b are intervals, that the return value of max(a,b) is either the memory location where a is stored or where b is stored. Not another location where there is a conversion of a or b to the type of x. But frankly I don't know what is intended here.
-- --------------------------------------------------------------- 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 ---------------------------------------------------------------