# HW1Sol - COT4501 Spring 2012 Solution I Problem 1 Provide...

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COT4501 Spring 2012 Solution I Problem 1 Provide short answers to the following questions: 1.8 False 1,10 False 1.23 1. No. Propagated data error is measured by the conditioning of an algorithm and is not directly tied to stability. 2. Yes. Accuracy is affected by both the conditioning and stability of a problem 3. No. The conditioning and stability of an algorithm are separate qualities that both deal with error(computational and data error, respectively) 1.29. 1. Every number has a unique representation 2. No digits are wasted by leading 0’s maximizing precision 1.32 (1 / 2) β 1 - p 1.38 1/10 .1 in decimal form . 00011001100110011 ... in binary form Problem 2 (1.9.) 5 . 101 × 10 8 km 2 . New surface area is 5 . 102 × 10 8 , so change is 1 . 0 × 10 5 With approximate formula, change in surface area is 1 . 601 × 10 5 With six-digit arithmetic, original surface area is 5 . 00906 × 10 8 ,new surface area is 5 . 10065 × 10 8 , difference between these is

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HW1Sol - COT4501 Spring 2012 Solution I Problem 1 Provide...

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