A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = \(b^{\cdot c^{\cdot / d^{e^{\cdot}}}}\) . If the maximum errors in the measurement of b, c, d and e are \(\delta_1\) %, C_{1} %, d- % and e_{1} %, then the maximum error in the value of a determined by the experiment is
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a = b^{r'} c^{r''} / d^{r'} e^{r''}
So maximum error in a is given by
\(\left|\frac{y_a}{a}\right| \times 100 = \alpha \cdot \frac{y_b}{b} \times 100 + \beta \cdot \frac{y_c}{c} \times 100\)
\(+ r : \frac{a}{d} \times 100 + o) . \frac{e}{e} \times 100\)
(c_{x1} + j c_{y1} + y c_{z1} + n c_{t1}) b c
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