3.3.3 ANSWERS TO EXERCISES 537 18. (a) The numerator is -(Ue -UI)*, the denominator is (Uc -UI)*. (b) The nu- merator in this case is -(iYE + UT + U , -UOUI -VI& -U2i3); the denominator is 2(Ui +…–U~UO). (c) The denominator always equals ~o13,c-sm 2rnx)/n, which converges for all z. (The representation in Eq. (24) may be considered a finite Fourier series, for the case when x is rational.) 4. d = 21 5. Note that we have Xn+l < X, with probability a + 6, where 161 < d/(2. lOlo) = l/(2. 5 ); hence every potency-l0 generator is respectable from the standpoint of Theorem P. 5. An intermediate result: x 4×1 ;~(a, m, c) + T -& -&. c mm = O
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