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12 lines
657 B
12 lines
657 B
2 years ago
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Exercise 2.9: The
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width of an interval
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is half of the difference between its upper and lower bounds. The width is a
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measure of the uncertainty of the number specified by the interval. For some
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arithmetic operations the width of the result of combining two intervals is a
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function only of the widths of the argument intervals, whereas for others the
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width of the combination is not a function of the widths of the argument
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intervals. Show that the width of the sum (or difference) of two intervals is
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a function only of the widths of the intervals being added (or subtracted).
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Give examples to show that this is not true for multiplication or division.
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