mws_gen_aae_spe_propagationoferrors

# mws_gen_aae_spe_propagationoferrors - Chapter 01.06...

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01.06.1 Chapter 01.06 Propagation of Errors If a calculation is made with numbers that are not exact, then the calculation itself will have an error. How do the errors in each individual number propagate through the calculations. Let’s look at the concept via some examples. Example 1 Find the bounds for the propagation error in adding two numbers. For example if one is calculating Y X where 05 . 0 5 . 1 X , 04 . 0 4 . 3 Y . Solution By looking at the numbers, the maximum possible value of X and Y are 55 . 1 X and 44 . 3 Y Hence 99 . 4 44 . 3 55 . 1 Y X is the maximum value of Y X . The minimum possible value of X and Y are 45 . 1 X and 36 . 3 Y . Hence 36 . 3 45 . 1 Y X 81 . 4 is the minimum value of Y X . Hence . 99 . 4 81 . 4 Y X One can find similar intervals of the bound for the other arithmetic operations of Y X Y X Y X / and , * , . What if the evaluations we are making are function evaluations

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## This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_gen_aae_spe_propagationoferrors - Chapter 01.06...

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