In this poster, we adopted nonparametric regression as a method to identify the unique distribution of query log data collected from the Excite search service in May 2001. In Informetrics, parametric modeling has been widely used in tracing term frequency data, such as Zipf’s law, Lotka’s law, or Bradford’s law. However, these traditional parametric methods have had limited application when det...

in this paper, the influence of the constituent volume fractions by changing the values of the power-law exponent with uniform pressure on the vibration frequencies of reinforced functionally graded cylindrical shells is studied. the fgm shell with ring is developed in accordance to the volume fraction law from two constituents namely stainless steel and nickel. these constituents are graded th...

rheological characteristics of al2o3, cuo and tio2 nano particles were investigated in oil asthe base fluid at 1 and 2 wt.%. constitutive relations for non-newtonian fluid were discussedbased on the power-law model. measured viscosities of each nanofluid were used to evaluatethe power-law and consistency index. results indicated that the nanofluid viscosity decreasedby increasing the concentrat...

This article analyses the convergence of Lie–Trotter splitting scheme for stochastic Manakov equation, a system arising in study pulse propagation randomly birefringent optical fibers. First, we prove that strong order numerical approximation is 1/2 if nonlinear term globally Lipschitz. Then, show has probability and almost sure $${{\frac{1}{2}-}}$$ case cubic nonlinearity. We provide several e...

The nature of the quantitative distribution of the 64 DNA codons in the human genome has been an issue of quantitative debate for over a decade. Some groups have proposed that the quantitative distribution of the DNA codons ordered as a rank-frequency plot follows a well-known power law called Zipf’s law. Others have shown that the DNA codon distribution is best fitted to an exponential functio...

A numerical study of hemodynamic parameters of pulsatile blood flow is presented in a stenotic artery with A numerical study of hemodynamic parameters of pulsatile blood flow is presented in a stenotic artery with non-Newtonian models using ADINA. Blood flow was considered laminar, and the arterial wall was considered rigid. Studied stenosis severities were 30, 50, and 70% of the cross-section...

In this paper we investigate the synchronization problem of drive-response chaotic systems with a scalar coupling signal. By using the scalar transmitted signal from the drive chaotic system, an observer-based response chaotic system with dead-zone nonlinear input is designed. An output feedback control technique is derived to achieve generalized projective synchronization between the drive sys...

We consider a semi-linear advection equation driven by a highly-oscillatory space-time Gaussian random field, with the randomness affecting both the drift and the nonlinearity. In the linear setting, classical results show that the characteristics converge in distribution to a homogenized Brownian motion, hence the point-wise law of the solution is close to a functional of the Brownian motion. ...

We study the current relaxation of a wave packet in a nonlinear random sample coupled to the continuum and show that the survival probability decays as P(t) approximately 1/t(alpha). For intermediate times t<t(*), the exponent alpha satisfies a scaling law alpha=f(Lambda=chi/l(infinity)), where chi is the nonlinearity strength and l(infinity) is the localization length of the corresponding rand...

This manuscript deals with the stabilization of a class of nonlinear discrete-time systems under control saturations including time-varying parameter dependency. The studied control law consists of the gain scheduled feedback of the measured output and of the nonlinearity present in the dynamics of the controlled system. Furthermore the saturations are taken into account by modeling the nonline...