2.15¶
; Eva Lu Ator, another user, has also noticed the different ; intervals computed by different but algebraically equivalent ; expressions. She says that a formula to compute with intervals ; using Alyssa’s system will produce tighter error bounds if it ; can be written in such a form that no variable that represents ; an uncertain number is repeated. Thus, she says, par2 is a ; “better” program for parallel resistances than par1. Is she right? ; Why? ; Eva's hypothesis seems to be correct. From our previous exercise, ; we found that A/A is not exactly "1", hence the more we avoid ; repitition, more accurate our operations can be. Although, I am ; not entirely sure of this answer! There can be cases where this is ; not true