my attempt to do the exercises in sicp.

Saturday, July 12, 2008

sicp exercise 2.15

; Exercise 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?

; becaise par1 repeats both r1 and r2, whereas par2 does not.

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