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We consider a single Leaky integrate-and-fire neuron stimulated with Poisson process. We develop a method, which allows one to obtain the first passage time probability density function without any additional approximations.
We present a comprehensive theoretical and numerical study of the stochastic rotational motion of a high anisotropic ferromagnetic nanoparticle in a viscous carrier driven by a time-periodic field. The effects of energy absorption of circularly and linearly polarized fields are analyzed. The analytical expressions and numerical data for the probability density and the power loss are compared for different...
Because of coexistence of aleatory uncertainty and epistemic uncertainty in engineering design, we represented a method of unifying aleatory uncertainty and epistemic uncertainty, and that is to quantifying probability uncertainty for structures of evidence theory (D-S theory), thereafter this method will provide theory foundation for uncertainty quantification of complex machinery. Probability density...
We introduce a new nondestructive and parameter-independent optoelectronic method to analyze the internal quantum efficiency (IQE) data that are obtained on a copper indium gallium diselenide (CIGS) solar cells. This method directly reconstructs the distribution of the charge collection probability in the device by inverting the integral transform that connects charge collection probability to the...
In this study, within the hour parametric probability density functions are calculated by using TEC (Total Electron Content) estimates. TEC estimates are obtained from IONOLAB-TEC method by using TNPGN-Active GPS network. GPS stations are placed at intervals with an average range of 80–100 km distance, between the years 2009 and 2012, provided input for calculation of probability density functions...
Inspired from modern out-of-equilibrium statistical physics models, a matrix product based framework is defined and studied, that permits the formal definition of random vectors and time series whose desired joint distributions are a priori prescribed. Its key feature consists of preserving the writing of the joint distribution as the simple product structure it has under independence, while inputing...
In this study, the statistical properties of the Ionosphere are investigated by using Total Electron Content (TEC) estimates obtained from TUSAGA GPS stations in Turkey. The hourly histograms of TEC are computed using the processed data from 14 GPS stations located mostly in western Anatolia. Optimum Probability Density Function (PDF) that fits the histograms is investigated in Maximum Likelihood...
For a finite group G, f is a function on G, whose value at an element q of G is the number of elements (a, b, c) ?? G ?? G ?? G satisfying abcb-1a-1c-1. By computing the inner products of / with the irreducible characters of G, we prove that f is a character of G, by the regular representation of the center of the complex group algebra, a module construction of f is obtained.
A multiperceptron architecture based on the Potts model is presented. It is shown that the storage capacity of this architecture grows linearly with the increase of the number of perceptrons. The combination of perceptrons is useful when one perceptron is unable to solve an identification task. The method can be applied for q-ary or binary patterns.
In this paper, on foundation of [D.S. Cohen and J.D. Murray, 1981; G.W. Chen et al., 1996; Chen Ning, 2005; Qi Lin Liu et al., 2003], to study population problem with extension Ginzbur-Landau type for (1) (3) and more general higher order nonlinear parabolic equation with initial bounded value problem which expresses it in existence, unique for classical solution, and by some method, to study this...
By using methods of bibliometrics and social network analysis, we find that the scientific collaboration network in China's management science is a scale-free small world network. Based on statistical analysis of the key network properties (L, the average shortest path length; C, the clustering coefficient; the node degree distribution), we explored the relationships between L and the size of China's...
In this paper, we present the empirical investigation results on the urban public traffic networks (PTNs). We study four urban public traffic networks in south China, which are the urban public traffic networks of Guangzhou, Changsha, Zhuhai and Xiamin. The empirical results on the four big cities show that the accumulative act degree distributions of PTNs take neither power function forms, nor exponential...
A criminal location relationship network model based on complex networks theory is set up in this paper. By the research of this criminal location relationships network, a real weighted network, a number of methods and knowledge which are ignored by experts and scholars in their research are found here. Firstly, the criminal location relationship network model is built by using a considerable number...
Offering unified observer structure for a class of chaotic system, observer based projective synchronization method is proposed and synchronization condition for linear synchronization subsystem is theoretically analyzed in; here synchronization condition for nonlinear synchronization subsystem is theoretically analyzed, and applications of the observer based projective synchronization method are...
The strong static magnetic fields (SMFs) have caused great health concerns on the potential occupational and public exposure in recent year. The present study focused on the effects of the strong SMFs on ATP contents in the two cell lines: human-hamster hybrid (AL) cells and mitochondria deficient human-hamster hybrid (p0 AL) cells. There were significant decreases in the ATP contents after exposure...
The paper presents three methods developed to assess rating points of objects and groups of objects with qualitative characteristics. The first method allows to transform the elements of a verbal (order-type) scale into fuzzy numbers instead of traditional scores. The membership functions of these numbers depend on results of qualitative characteristic assessment for this group of objects. So we can...
Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function almost surely under a certain symmetry condition.
The sufficient and necessary conditions for composition operators from the Hardy space into the weighted Bloch space on the polydisk to be bounded and compact are given.
In this study, we have presented a new hybrid optimization method, called hybrid shuffled frog leaping algorithm and extremal optimization algorithm (SFLA-EO) which introduces EO to SFLA. SFLA-EO combines the merits of both SFLA and EO by drawing on the local-search strategy from EO and global-search strategy from SFLA. The results of experiments carried out with six well-known benchmark functions...
The FIND algorithm is a fast algorithm designed to calculate entries of the inverse of a sparse matrix. Such calculation is critical in many applications, e.g., quantum transport in nano-devices. For a 2D device discretized as N times N mesh, the best known algorithms have a running time of O(N4), whereas FIND only requires O(N3), although with a larger constant factor. By exploiting the extra sparsity...
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