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991.
In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases. 相似文献
992.
Making use of the fractional differential operator, we impose and study a new class of analytic functions in the unit disk (type fractional differential equation). The main object of this paper is to investigate inclusion relations, coefficient bound for this class. Moreover, we discuss some geometric properties of the fractional differential operator. 相似文献
993.
In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lkα. For functions in this class Hkα(p,λh) we estimate the coefficients. Furthermore, some subordination properties related to the operator Lkα are also derived. 相似文献
994.
Let \({\mathbb{K} \in \{\mathbb{R}, \mathbb{C}\}, I = (d, \infty), \phi : I \to I}\) be unbounded continuous and increasing, X be a normed space over \({\mathbb{K}, \mathcal{F} : = \{f \in X^I : {\rm lim}_{t \to \infty} f(t) {\rm exists} \, {\rm in} X\},\hat{a} \in \mathbb{K}, \mathcal{A}(\hat{a}) : = \{\alpha \in \mathbb{K}^I : {\rm lim}_{t \to \infty} \alpha(t) = \hat{a}\},}\) and \({\mathcal{X} : = \{x \in X^I : {\rm lim} \, {\rm sup}_{t \to \infty} \|x(t)\| < \infty\}}\) . We prove that the limit lim t → ∞ x(t) exists for every \({f \in \mathcal{F}, \alpha \in \mathcal{A}(\hat{a})}\) and every solution \({x \in \mathcal{X}}\) of the functional equation $$x(\phi(t)) = \alpha(t) x(t) + f(t)$$ if and only if \({|\hat{a}| \neq 1}\) . Using this result we study behaviour of bounded at infinity solutions of the functional equation $$x(\phi^{[k]}(t)) = \sum_{j=0}^{k-1} \alpha_j(t) x (\phi^{[j]}(t)) + f(t),$$ under some conditions posed on functions \({\alpha_j(t), j = 0, 1,\ldots, k - 1,\phi}\) and f. 相似文献
995.
Presented work introduces methods for improving linearity of a heterodyne laser interferometer system. The heterodyne configuration exhibits high potential in demanding applications, like pico/nano positioning. Those applications require superior accuracy, more difficult to obtain in a homodyne configuration of the laser interferometer. The homodyne setup is more susceptible to external light, variation of DC offset and higher noises, especially the 1/f noise. Those issues are filtered out in the heterodyne configuration. The main disadvantage of heterodyne setup are higher measurement nonlinearities. In this paper there are first introduced sources of nonlinearities and their impact on the overall accuracy. According to those findings there are proposed techniques to eliminate error caused by parasite beams, i.e. nonlinearities. Presented method is based on digital signal processing and is reliable and easy to use. In the shown approach the nonlinearities correction is completely automatic. Such system is applicable for X/Y positioning stages. Presented configuration of the laser interferometer is able to track the displacement with 100 pm resolution up to 7 m/s of translation velocity. The resolution can be improved to 10 pm by limitation of maximal velocity. In the paper there is confirmed that errors caused by nonlinearities are in range of ±0.6 nm. Achieved accuracy is comparable to capacitance gauges with presented laser interferometer having much better dynamic range. 相似文献
996.
Agnieszka Czaplicka Janusz A. Hołyst Peter M. A. Sloot 《The European physical journal. Special topics》2013,222(6):1335-1345
A simple model of information flows represented by package delivery on networks with hierarchical structures is considered. The packages should be transferred from one network node to another and the delivery process is influenced by two types of noise. The first type of noise is related to a partially false knowledge of network topology (topological noise), i.e. membership of nodes in communities in a shipping algorithm include a number of errors corresponding to a random rewiring of a fraction of network links. The second type of noise (dynamical noise) is related to a diffusive part in packet dynamics, i.e. package paths do not follow from completely deterministic rules. In the case of a pure topological noise and in the case of combination of both types of noises, we observe a resonance-like phenomenon for communication efficiency. The system performance measured as a fraction of packages that are delivered in a certain time period or as an inverse of time of a package delivery is maximal for intermediate levels of noise. This effect resembles the phenomenon of stochastic resonance that exists in many complex systems where a noise can enhance the information transfer. 相似文献
997.
A spatial three level food web model with a closed nutrient cycle is presented and analyzed via Monte Carlo simulations. The food web consists of three trophic levels. The basal level species (called resources , R) corresponds to primary producers in real ecosystems. The species at an intermediate level (consumers , C) relates to herbivores. It feeds on the resources. The consumers themselves constitute food for the top level species (predators , P), which corresponds to carnivores. The remains of the consumers and predators (detritus , D) provide nutrient for the resources. The time evolution of the model reveals two asymptotic states: an absorbing one with all species being extinct, and a coexisting one, in which concentrations of all species are non-zero. There are two possible ways for the system to reach the absorbing state. In some cases the densities increase very quickly at the beginning of a simulation and then decline slowly and almost monotonically. In others, well pronounced peaks in the R, C and D densities appear regularly before the extinction. Those peaks correspond to density outbursts (waves) traveling through the system. We investigate the mechanisms leading to the waves. In particular, we show that the percolation of the detritus (i.e. the accumulation of nutrients) is necessary for the emergence of the waves. Moreover, our results corroborate the hypothesis that top-level predators play an essential role in maintaining the stability of a food web (top-down control). 相似文献
998.
A power law classification scheme (PLCS) of time series correlations is proposed. It is shown that PLCS provides the ability to classify nonlinear correlations and measure their stability. PLCS has been applied to gross domestic product (GDP) per capita of G20 members and their correlations analysed. It has been shown that the method does not only recognise linear correlations properly, but also allows to point out converging time series as well as to distinguish nonlinear correlations. PLCS is capable of crash recognition as it is shown in the Argentina example. Finally the strength of correlations and the stability of correlation matrices have been used to construct a minimum spanning tree (MST). The results were compared with those based on the ultrametric distance (UD). Comparing the structures of MST, UD and PLCS indicates that the latter one is more complicated, but better fits the expected economic relations within the G20. 相似文献
999.
Abstract Isocyanates derived from uretanes 4, s and benzamides 6, 7 react with di-O-benzyl-D-arabinal 3 under 12 kbar pressure to afford the corresponding cycloadducts with high stereoselectivity. Alkoxycarbonyl isocyanates 4 and 5 from [2 + 2]cycloadducts almost exclusively, where benzoyl iSocyanates produce 1:1 mixtures of [2 + 21 and [4 + 2]cycloadducts. 相似文献
1000.
Janusz Mrozek Vedene H. Smith Jr. Dennis R. Salahub Piet Ros Alon Rozendaal 《Molecular physics》2013,111(3):509-517
Self consistent field-Xα molecular orbital calculations have been performed for Si2 and Cl2 using both the scattered-wave (SW) and LCAO discrete-variational (DV) versions of the method. For Si2 an SW calculation including f partial waves yields orbital densities in good agreement with those from methods which do not involve the muffin-tin approximation for the potential. The present results afford a further comparison relevant to the recent discussion (see, M. Schlüter et al. [9]) of the relative accuracy of various pseudocharge densities compared with real charge densities. The deformation density from the Xα-SW calculation is in good agreement with that from the DV-Xα method and also with that from the linear muffin tin orbital method (J. Harris and R. O. Jones [8]). Differences between the valence electron distribution which is usually discussed in connection with pseudopotential schemes, and the density distribution including the 2s and 2p core electrons are delineated. For Cl2, the Xα-SW deformation density shows positive lobes along lines through the atoms perpendicular to the bond axis, is negative for most of the area between the atoms and also shows negative lobes behind the atoms. This deformation map is in good qualitative agreement with the DV-Xα map and also with recent ab initio results with the exception of a small region at the centre of the bond in which the DV-Xα and ab initio results show an excess of electrons compared with the promolecule whereas the Xα-SW results show a deficiency. Comparisons with X-ray results on solid chlorine are inconclusive so that experimental electron scattering data on gas phase chlorine will be required to resolve this difference. 相似文献