sicp 2.13

Exercise 2.13.  Show that under the assumption of small percentage tolerances there is a simple formula for the approximate percentage tolerance of the product of two intervals in terms of the tolerances of the factors. You may simplify the problem by assuming that all numbers are positive.

 

 

假设c1,c2均大于0,误差百分比分别是p1,p2,并且p是c1*c2的误差百分比,

p = 1- (1-p1)c1(1-p2)c2/(c1c2) = p1 + p2 - p1p2

由于p1和p2足够小,所以p = p1 + p2

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