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...
متن کاملNormal Numbers Are Normal
A number is normal in base b if every sequence of k symbols in the letters 0, 1, . . . , b− 1 occurs in the base-b expansion of the given number with the expected frequency b−k. From an informal point of view, we can think of numbers normal in base 2 as those produced by flipping a fair coin, recording 1 for heads and 0 for tails. Normal numbers are those which are normal in every base. In this...
متن کاملOn non-normal non-abelian subgroups of finite groups
In this paper we prove that a finite group $G$ having at most three conjugacy classes of non-normal non-abelian proper subgroups is always solvable except for $Gcong{rm{A_5}}$, which extends Theorem 3.3 in [Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable, Acta Math. Sinica (English Series) 27 (2011) 891--896.]. Moreover, we s...
متن کاملOn Normal Numbers and Powers of Algebraic Numbers
Let α > 1 be an algebraic number and ξ > 0. Denote the fractional parts of ξαn by {ξαn}. In this paper, we estimate a lower bound for the number λN (α, ξ) of integers n with 0 ≤ n < N and {ξα} ≥ min { 1 L+(α) , 1 L−(α) } . Our results show, for example, the following: Let α be an algebraic integer with Mahler measure M(α) and ξ > 0 an algebraic number with ξ #∈ Q(α). Put [Q(α, ξ) : Q(α)] = D. T...
متن کاملNon-normal numbers with respect to Markov partitions
We call a real number normal if for any block of digits the asymptotic frequency of this block in the N -adic expansion equals the expected one. In the present paper we consider non-normal numbers and, in particular, essentially and extremely non-normal numbers. We call a real number essentially non-normal if for each single digit there exists no asymptotic frequency of its occurrence. Furtherm...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1968
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(68)50001-5