Note on normal numbers
نویسندگان
چکیده
منابع مشابه
A note on normal numbers
Many cyberinformaticians would agree that, had it not been for the transistor, the construction of link-level acknowledgements might never have occurred. Given the current status of probabilistic modalities, electrical engineers obviously desire the improvement of rasterization, which embodies the structured principles of robotics. In this position paper, we concentrate our efforts on verifying...
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was normal (in the sense of Borel) with respect to the base 10, a normal number being one whose digits exhibit a complete randomness. More precisely a number is normal provided each of the digits 0, 1, 2, • • • , 9 occurs with a limiting relative frequency of 1/10 and each of the 10k sequences of k digits occurs with the frequency 10_k . Champernowne conjectured that if the sequence of all inte...
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Decisions are based on information. To be useful, information must be reliable. Basically, the concept of a Z-number relates to the issue of reliability of information. A Z-number, Z, has two components, Z = (A,B). The first component, A, is a restriction (constraint) on the values which a real-valued uncertain variable, X, is allowed to take. The second component, B, is a measure of reliabilit...
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It was proved by Champernowne [2] that the decimal . 1234567891011 . . . is normal, and by Besicovitch [11 that the same holds for the decimal . 1491625 . . . . Copeland and Erdös [3] have proved that if p i, P2 . . . . is any sequence of positive integers such that, for every 0 < 1, the number of p's up to n exceeds nB if n is sufficiently large, then the infinite decimal •p ip 2p 3 . . . is n...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1957
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1957.7.1163