Results 271 to 280 of about 43,652 (301)

Asymptotic Density and Computability

Russian Mathematics, 2021
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ASYMPTOTICS OF SPECTRAL DENSITY ESTIMATES

Econometric Theory, 2009
We consider nonparametric estimation of spectral densities of stationary processes, a fundamental problem in spectral analysis of time series. Under natural and easily verifiable conditions, we obtain consistency and asymptotic normality of spectral density estimates.
Liu, Weidong, Wu, Wei Biao
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On the Asymptotic Density of Sets of Integers

Journal of the London Mathematical Society, 1976
where a,, and b, equal 0 or 1, the set A (resp. B) appearing as the set of those n such that a,, = 1 (resp. b, = 1). It seems a rather difficult problem to describe explicitly the structure of all such direct factors, although the theorem demonstrated in [5] and our present Theorem 1 shed some light on the situation by proving the existence of their ...
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ASYMPTOTIC DENSITY OF UNHAPPY NUMBERS

Bukovinian Mathematical Journal
For a number   $n\in\mathbb N$ we consider the sum of squares of all digits of $n$ and denote it by   $S^2(n)$. Let $T_0(n)=n$, $T_1(n)=S^2(n)$, \dots, $T_{k+1}(n)=T_1(T_k(n))$ for $k\ge 1$. A number $n$ is happy, if there exists $k\ge 1$ such thatFor a number   $n\in\mathbb N$ we consider the sum of squares of all digits of $n$ and denote it by   $S^2(
Gordeĭ, Mykhaĭlo, Goroshkevych, Sergiĭ, Karlova, Olena   +2 more
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On the Asymptotic Density of Sets of Integers. II

Journal of the London Mathematical Society, 1979
[Part I, cf. ibid. 13, 475-485 (1976; Zbl 0333.10039)] Let \(A\) and \(B\) be a pair of direct factors of \(N^*\), the set of positive integers; that is a pair of subsets \(A\) and \(B\) of \(N^*\) such that every \(n\in N^*\) can be written uniquely as \(n=a\cdot b\), with \(a\in A\) and \(b\in B\).
Erdős, Paul, Saffari, B., Vaughan, R. C.   +2 more
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Asymptotic level density for a class of vector quantization processes

IEEE Transactions on Neural Networks, 1991
Ritter H. Asymptotic Level Density for a Class of Vector Quantization Processes. IEEE Transactions on Neural Networks. 1991;2(1):173-175.It is shown that for a class of vector quantization processes, related to neural modeling, that the asymptotic ...
Ritter, Helge ; https://orcid.org/
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On asymptotic behavior of density functional theory

The Journal of Chemical Physics, 2013
The performance of several previously proposed as well as of some novel approaches for correcting the asymptotic behavior of electron densities in density functional theory (DFT) is evaluated. The comparisons are made for molecular properties that are known to be sensitive to the asymptotic behavior of densities such as polarizabilities, energies of ...
Wojciech, Cencek, Krzysztof, Szalewicz
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The Asymptotic Properties of Densities

1994
The preceding chapter was devoted to an examination of the various degrees of “chaotic” behavior (ergodicity, mixing, and exactness) that measure- preserving transformations may display. In particular, we saw the usefulness of the Koopman and Frobenius-Perron operators in answering these questions.
Andrzej Lasota, Michael C. Mackey
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Asymptotic Density of Surds with Stable Height

Acta Applicandae Mathematica, 2003
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