Chapter 2, Building Abstractions with Data

Section - 2.1 - Introduction to Data Abstraction

Exercise 2.13


Suppose there are two intervals, and , with centers and , and tolerance and respectively.

Thus we have and
.

Assuming that and contains only positive end-points. Taking help from Ex-2.11 to find the product interval, we get:

.


Since and are small, it follows will become smaller and we can ignore it. Thus we get:
.

Thus we can see the tolerance of the product is sum of the percentage tolerances of individual intervals.