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n[to[Xf[ £"ûH Xk[s[-The functions that satisfy mathf(x) f(h) = f(xh)/math are a subset of the set of all linear functions A function is linear if it satisfies the condition above as well as the condition that mathf(cx) = cf(x)/math The most obvious examplS Q " N s û s E y J J i E t J E Q Ë F } M 2 } s C s R Ê K Õ 7 Ä ;
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P / Q / R / S / T / U / V / W / X / P O / P P / P Q X i J D n R t;ADOBE ñ ¦ 9 Ø È q ¸ V x p 1 ç 3 2 üa ÿ x p Ð ¸ F H { # x pb 11 ç 3 2 üb ' È q ð ¿" ð "" 4 i O £ À µ p b ¿Weibull's Derivation n n − = − P P 1 (1 ) x x Let's define a cdf for each link meaning the link will fail at a load X less than or equal to x as P(X≤x)=F(x) Call P n the probability that a chain will fail under a load of x If the chain does not fail, it's because all n links did not fail If the n link strengths are probabilistically independent Weibull, W, 1951,"A Statistical
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