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Examples of Error Propagation—Uncorrelated Variables

Examples of error propagation formulas for many common functions are given in this section. In all cases, uncorrelated variables are assumed. [Pg.56]

If fli = fl2 = h this example applies to the very common case of summation or difference of two variables. [Pg.56]

The standard error for Examples 2.14 and 2.15 takes a simpler and easy-to-remember form for both the product and the quotient if it is expressed as the relative error. It is trivial to show that [Pg.57]

the relative error of the product oXjXj or the quotient oxi/x2 is equal to the square root of the sum of the squares of the relative errors of the variables Xj and X2. [Pg.57]

There is another very important use of Eq. 2.84, which has to do with the calculation of the variation of a function in terms of changes of the independent variables. Consider again the function fix, X2.x ) and assume that the variables Xj, X2. x have changed by the amounts Axj, Ax2. Ax. The variation or change of /(xj. x ). A/, is given by [Pg.57]


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