The book Random Number Generators for Ultracomputers was written by author O E Percus Here you can read free online of Random Number Generators for Ultracomputers book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Random Number Generators for Ultracomputers a good or bad book?
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. , etc. Such that 3 ', 5 ', 7 J, , . . , are of the order of v m /2, Let us note that the restriction *, - = i = 1, . . . , t is unnecessary. If *, o ¥= for some i, then using (2. 3) we get -y, - = (a — I) x 0i + £>, • = rm + v, -, r integer and we will choose bj to guarantee that v, < "^ mil and g. C. D. (v, v, ) = 1 for all /#;' .
Ultracomputer Note 114 Pa 8 e 17 5. Bounds for Multiplies The problem of creating a uniform distribution for a single 2-vector can be generalized in another direction. We will devise a method of choosing three bi's such that v 3 * = 0(m v3 ); of course, as explained in  (pages 90, 91) having a good lower bound for v 3 does not imply a good lower bound on v 2 . Taking this warning into account, we now present the following result: Theorem 2 Let x Qti = (1) for all i (5. 1) Define two finite sets of primes^ Set I = ■ pi : p i prime, p l = 0(m 2/3 ), and p t < m 2 ' 3 Set II = \p s : p s prime, p s = 0(m v3 ), and p s < m 1/3 [ Then v 2 (l, 2) ^ 0(m 1/3 ) (5.