Random Number Generators for Ultracomputers
Random Number Generators for Ultracomputers
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In our eReader you can find the full English version of the book. Read Random Number Generators for Ultracomputers Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Random Number Generators for Ultracomputers
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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 [10] (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.
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To quickly assess the difficulty of the text, read a short excerpt:
. , 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 [10] (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.
What to read after Random Number Generators for Ultracomputers?
You can find similar books in the "Read Also" column, or choose other free books by O E Percus to read online
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