Question
Wed June 20, 2012 By:

Could you elaborate on combination of errors. Im unable to find any material on it

Expert Reply
Sat June 23, 2012
Sppose there are two quantities A and B
with respective errors as: ?A and ?B
 
thus on addition as Z = A + B
 thus Z+?Z = (A+?A)+(B+?B)
 max. |?Z| = |?A|+|?B|
 
similar is for subtraction
 
and in case of multiplication Z=AB
 
Z+?Z=(A+?A)(B+?B)
 
thus solving, Z+?Z = AB+B?A+A?B+?A?B
 
dividing by Z=AB
 
we get max. fractional error as
|?Z/Z| = |?A/A| + |?B/B|
similar is for division
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