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From: Ron Rosenfeld on 18 Jan 2010 14:30 On Mon, 18 Jan 2010 11:01:40 -0800, "Joe User" <joeu2004> wrote: >You fail to acknowledge and seem to fail to notice that I demonstrated by >example that it is not. I quoted your comment about there being no perfect method. But if it makes you feel better, I explicitly acknowledge than one can construct sets of data and rules for division for which the simpler rounding algorithms are inadequate, and the data set and rules you posted earlier are an example of that inadequacy. Your example, although demonstrating this point is, in my opinion, unrealistic. I think it more likely that those who are dividing a pot of $15 with a rule of 10% to 10 people, and 0% to 10 people, rounded to the nearest $1, would come up with a different rule. The situation I am dealing with has to do with dividing a much larger pot amongst many fewer people, and the maximum deviation from perfect has been a mere penny, using simple rounding algorithms. --ron
From: Ron Rosenfeld on 18 Jan 2010 16:51
On Mon, 18 Jan 2010 14:30:50 -0500, Ron Rosenfeld <ronrosenfeld(a)nospam.org> wrote: >The situation I am dealing with has to do with dividing a much larger pot >amongst many fewer people, and the maximum deviation from perfect has been a >mere penny, using simple rounding algorithms. And, of course, the deviation could be greater depending on the various parameters that make up the rules; in which case, a more involved algorithm would be required; than merely rounding the first n computations and taking the difference for the last. --ron |