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We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = −1. For these values of the parameters we shall describe its global dynamics in the compactification of the non-negative octant of ℝ3 including its...

In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our...

A recent paper by Karasu (Kalkanli) and Yildirim (Journal of Nonlinear Mathematical Physics 9 (2002) 475-482) presented a study of the Kepler-Ermakov system in the context of determining the form of an arbitrary function in the system which was compatible with the presence of the sl(2, R) algebra characteristic...

If a classical r-matrix r is skewsymmetric, its quantization R can lose the skewsymmetry property. Even when R is skewsymmetric, it may not be unique.

We study symmetries of the real Maxwell-Bloch equations. We give a Lax pair, biHamiltonian formulations and we find a symplectic realization of the system. We have also constructed a hierarchy of master symmetries which is used to generate nonlinear Poisson brackets. In addition we have calculated the...

Rota-Baxter operators or relations were introduced to solve certain analytic and com- binatorial problems and then applied to many fields in mathematics and mathematical physics. In this paper, we commence to study the Rota-Baxter operators of weight zero on pre-Lie algebras. Such operators satisfy (the...

Since the Syrian conflict started, Lebanon became a common destination receiving a huge number of Syrian refugees that are living in camps spread all over the country, with the largest concentration in the Bekaa Valley. Generous steps are being taken to increase the access to formal education, such as...

Identifying users with similar interest plays a vital role in building the recommendation model. Web server log acts as a repository from which the information needed for identifying the users and sessions (pagesets) are extracted. Sparse ID list and Vertical ID list are used for identifying the closed...

In Japan, it has been decided that programming education will be required in elementary schools from 2020. In the new study guidelines, new programming subjects will not be established, but programming will be handled within existing subjects such as mathematics and science. Therefore, it is desirable...

The dramatic events precipitated by the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) virus pandemic have highlighted the limitations and contradictions of our country’s current health care delivery model plagued by the closure of healthcare delivery structures, staff reductions, privatizations...

In this paper, we investigate multi-dimensional computational model, k-neighborhood template A-type three-dimensional bounded cellular acceptor on four-dimensional tapes, and discuss some basic properties. This model consists of a pair of a converter and a configuration-reader. The former converts the...

We determine the solutions of a nonlinear Hamilton-Jacobi-Bellman equation which arises in the modelling of mean-variance hedging subject to a terminal condition. Firstly we establish those forms of the equation which admit the maximal number of Lie point symmetries and then examine each in turn. We...

In the homogenization of monotone parabolic partial differential equations with oscilations in both the space and time variables the gradients converges only weakly in Lp . In the present paper we construct a family of correctors, such that, up to a remainder which converges to zero strongly in Lp ,...

A new method of banknote image retrieval is proposed by using new set of rotated quaternion wavelet filters (RQWF) and standard quaternion wavelet transform (QWT) jointly. The robust and rotationally invariant features are extracted from QWT and RQWF decomposed sub-bands of banknote image. Three different...

We describe the design and implementation of a modular and distributed robot that physically simulates functioning of a 2-symbols Turing machine. The robot is constructed with Cubelets (small autonomous robot-cubes used for teaching basic robotics and programming for kids) and Lego® bricks (thus the...

Long-term prospective studies exploring general health outcomes among disaster survivors are rare. Self-rated health (SRH) – a proven correlate of morbidity and mortality prognosis – was used to investigate predictors of perceived health status among a 23-year cohort of survivors of 1988 Spitak earthquake...

Augmented Reality (AR) is a technological advancement which brings to reality the intuitive interaction that a user is attracted to virtual objects. In this paper, we focus on intuitive manipulation of virtual objects with bare hands. Specifically, we propose a method to deform, move, and join virtual...

In this paper a three-dimensional system with five parameters is considered. For some particular values of these parameters, one finds known dynamical systems. The purpose of this work is to study some symmetries of the considered system, such as Lie-point symmetries, conformal symmetries, master symmetries...

In this article we give sufficient conditions on the scattering data of a defocusing or focusing Zakharov-Shabat system in order that its potential is square integrable. For a dense subset of integrable as well as square integrable potentials, we show that the scattering data actually satisfy these sufficient...

Coupled KdV equations are deduced by considering the homogeneous manifold corresponding to the homogeneous Heisenberg subalgebra of the Loop group (L(S1 , SL(2, C)). Utilisation of Birkhoff decomposition and further subalgebra consideration leads to a new generalised form of Miura map and two sets of...

The performance assessment of an engineered solution for the disposal of radioactive wastes is based on mathematical models of the disposal system response to predefined accidental scenarios, within a probabilistic approach to account for the involved uncertainties. As the most significant potential...

In this paper, we discuss the optimal accelerated life test plans for Burr type X distribution with log-linear model under periodic inspection and Type I censoring. We obtain the maximum likelihood estimators, the Fisher information and the asymptotic covariance matrix of the maximum likelihood estimators....

A speller is a communication device designed for those suffering from neuromuscular disorders having difficulty to speak. An EMG based design is proposed which uses eye blinks for character selection that offers high accuracy and more comfort to the user. The eye blink signals are feature extracted using...

The Singular Manifold Method is presented as an excellent tool to study a 2 + 1 dimensional equation in despite of the fact that the same method presents several problems when applied to 1 + 1 reductions of the same equation. Nevertheless these problems are solved when the number of dimensions of the...

In the paper we analyze the Kaldor­Kalecki model of business cycle. The time dlay is introduced to the capital accumulation equation according to Kalecki's idea of delay in investment processes. The dynamics of this model is represented in terms of time delay differential equation system. In the special...

The reduction by symmetry of the linear system of the self-dual Yang-Mills equations in four-dimensions under representatives of the conjugacy classes of subgroups of the connected part to the identity of the corresponding Euclidean group under itself is carried out. Only subgroups leading to systems...

As limits of time, labors and expenses, observed data usually have the characteristic of small sample sizes in development test program. Redesigns or corrective actions can result in changes of reliability for equipments. We propose an improved GM(1,1) model to predict reliability growth in this paper....

In recent years, evolutionary algorithms have been used for classification tasks. However, only a limited number of comparisons exist between classification genetic rule-based systems and gene expression programming rule-based systems. In this paper, a new algorithm for classification using gene expression...

Spread of methicillin-resistant Staphylococcus aureus (MRSA) isolates is a worldwide problem. Molecular typing is a useful tool to understand MRSA epidemiology. Herein, we determined vancomycin-resistant, SCCmec and spa types among MRSA isolates recovered from healthcare and community-acquired infections...

In virtual reality applications, such as games and training, the use of two-handed controllers to interact with virtual objects is usually supported. To reproduce the interactive sensation of holding objects of various shapes and behaviors with both hands, previous researchers have used mechanical connections...

Background: For last decades, the mortality rate of hajj pilgrims from Indonesia was between 2.1 and 3.2 per 1000 hajj pilgrims. At the same time, morbidity affected 87% of the elderly (>65 years old), of which 83% faced high risk of health problems. This is a complex problem affecting hajj health...

We introduce a new generalization of Weibull distribution by making use of a transformation of the standard two- sided power distributed random variable. Weibull and the exponentiated Weibull distributions are submodels of this new distribution.We show that this newly defined distribution is in fact...

We propose a highly accurate approximate solution for Navier-Stokes Equation (NSE) based on the similarity between NSE and Advection Diffusion Equation (ADE). First, we present the analytical exact solution of ADE using a Green function (integral kernel) that is obtained from the diffusion equation over...

This paper is devoted to application of neural network with a specific restricted connectivity structure for identification and control of a real process. Parameters of the identified model are used to design a controller based on dynamic feedback linearization. The designed neural network based controller...

Slip-induced fall is one of the main factors causing serious fracture injuries among the elderly. In this paper, we propose a fall risk reduction measures for the elderly, based on deep reinforcement learning using mobile assistant robots. Our method involves online real-time risk analysis and risk reduction....

If there were no changes in the environment surrounding businesses, the numbers of people leaving and entering employment would stay almost the same. Therefore, understanding the numbers allow us to make assumptions about the changes inside and outside companies. However, when categorizing businesses...

Fundamental questions posed in classical genetics since early 20th century are still fundamental in today post genomic age. What has changed is the availability of huge amount of molecular genetics information on a broad spectrum of species and a more powerful and rich methodological approach, particularly...

The movement of teaching computer science to children can be seen all over the world, but because it contains abstract content, it is difficult for children like elementary school students to understand it through lectures alone. The purpose of this study is to develop teaching materials that stimulate...

The aim of the present study is to improve the understanding of the control engineering for university students through the experience of the control experiment, and hence an experimental device is developed. The students are educated the control engineering using the device, and the educational effect...

We discuss the interrelations between symmetry of an Ito stochastic differential equations (or systems thereof) and its integrability, extending in party results by R. Kozlov [J. Phys. A 43 (2010) & 44 (2011)]. Together with integrability, we also consider the relations between symmetries and reducibility...

The COVID-19 pandemic has had a substantial impact on government services in many areas, including Civil Registration and Vital Statistics (CRVS). However, the pandemic has also highlighted the importance of recording of mortality and causes of death, with some potentially positive impacts for longer...

A fuzzy mapping aggregation operator based on RIMER and its application in Chinese word semantic proofing system for special domain are discussed deeply in this paper. Firstly, the fuzzy mapping aggregation operator based on RIMER are introduced and followed by the corresponding fuzzy inference method....

We study a class of piecewise linear solutions to the inviscid Burgers equation driven by a linear forcing term. Inspired by the analogy with peakons, we think of these solutions as being made up of solitons situated at the breakpoints. We derive and solve ODEs governing the soliton dynamics, first for...

Safety is the most important issue while driving. Many traffic accidents occur because of insufficient safe distance. With the advancement of technology, there are cars with a front distance safety warning system. Some of them are with fixed safe distance regardless of the speed of the car. Other advanced...

Background: In June–July 2008 a non-governmental organization (NGO) in Jalalpur Jattan (JPJ), Gujrat, Pakistan arranged two voluntary HIV screening camps after numerous HIV-infected persons reported to their treatment center in Lahore; 88 (35.8%) of 246 persons screened in those camps were positive by...

Background: Fisherwomen contribute significantly to the coastal economy of Eastern India; however, data about their physical fitness and weight status are scant. Objectives: The present cross-sectional study was designed to investigate cardiorespiratory fitness and weight status of fisherwomen, which...

Marshall and Olkin [Biometrika199784641652] introduced a method for constructing a new distribution by adding a new parameter, called tilt parameter, to a parent distribution. It is observed that adding this parameter leads to a more flexible model than the parent model. In this paper, different estimators...

Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various...