In this paper, we prove that the modified PainlevéInce (PI) equation, the force-free Duffing nonlinear type oscillator (DO) and the Lotka-Volterra (LV) nonlinear ordinary differential equation ODEs can be solved in general parametric form. The developed mathematical methodology and the extracted results, being expressed by way of new theorems including admissible functional transformations and ...

We propose a two-parametric non-distributive algebraic structure that follows from (q, q)-logarithm and (q, q)-exponential functions. Properties of generalized (q, q)operators are analyzed. We also generalize the proposal into a multi-parametric structure (generalization of logarithm and exponential functions and the corresponding algebraic operators). All n-parameter expressions recover (n− 1)...

Heterogeneous multi-core processors are at tracted by media processing applications due to their ca pability of drawing strengths of different cores to improve the overall performance. However, the unavailability of an efficient programing environment is a major problem. In this paper, we propose an FPGA-oriented heterogeneous multi-core processor, with GPU-like accelerator cores. We use a CUDA...

1 Abstract This document is a white paper 1 about how to connect reverse engineering and programing skills to extract data from a proprietary implementation of a database system to build EML-Tools[1] for data format conversion into raw data. This article shows how to access data of a source software system without any interface for data conversion. We discuss how raw data can be transfered into...

Langerhans cells (LCs), residing in the epidermis, are able to induce potent immunogenic responses and also mediate immune tolerance. We propose that tolerogenic of LCs directed by signaling from epidermis involve counter-acting gene circuits coupled a core maturation module. base our analysis on recent genetic genomic findings facilitating understanding molecular mechanisms controlling these d...

The power divergence family of Cressie and Read (1984) is a highly popular family of density-based divergences which is widely used in robust parametric estimation and multinomial goodness-of-fit testing. This family forms a subclass of the family of φ-divergences (Csiszár, 1963; Pardo, 2006) or disparities (Lindsay, 1994). The more recently described family of density power divergences (Basu e...

Naturally ventilated tropical greenhouse is classified as a complex system because it involves with nonlinear process and multivariable system. The purpose of this study is to determine the mathematical model of NVTG climates to in order to describe and predict the dynamic behavior of temperature and humidity inside NVTG for development of its control system. The modeling of the system is divid...

The generalized bilevel programming problem (GBLP) is a bilevel mathematical program where the lower level is a variational inequality. In this paper we prove that if the objective function of a GBLP is uniformly Lipschitz continuous in the lower level decision variable with respect to the upper level decision variable, then using certain uniform parametric error bounds as penalty functions giv...

Drought reduces the quantity and quality of water resources ultimately increases risk agricultural activities at farm level. Therefore, by developing risk-based economic models, effects changes in on farmers' decisions should be examined. In this regard, drought farmers Qazvin Plain Irrigation Network have been evaluated. For purpose, firstly, river flow was simulated using Qual2k model 1998–20...

In this paper we present a mathematical model for the dynamics of an electrostatically actuated micro-cantilever. For the common case of cantilevers excited by a periodic voltage, we show that the underlying linearized dynamics are those of a periodic system described by a Mathieu equation. We present experimental results that confirm the validity of the model, and in particular illustrate that...