Some inequalities of a formula of population size due to epidemics model problem
In the present paper, we evaluate a formula of population size due to epidemics model problem for communicable diseases, in which the daily contact rate is supposed to be varied with population size N(t) that is large, so that it is considered as a continuous variable of time (t). Then, we obtain some inequalities of above analytic formula of population size that are useful to plot some graphs on population...
A comparative study of a class of implicit multi-derivative methods for numerical solution of non-stiff and stiff first order ordinary differential equations
This work describes the development, analysis, implementation and a comparative study of a class of Implicit Multi-derivative Linear Multistep methods for numerical solution of non-stiff and stiff Initial Value Problems of first order Ordinary Differential Equations. These multi-derivative methods incorporate more analytical properties of the differential equation into the conventional implicit linear...
Nonlinear analysis of a fractional reaction diffusion model for tumour invasion
Mathematical models in general and Reaction Diffusion Models in particular have been rigorously studied and applied in different forms to explain situation in biomedical and allied sciences including the complex tumour microenvironment. They have been proven to be really significant in cancer research. The not so extensively known fractional reaction-diffusion model is presented in this research as a...
On best 1:1 codes for generalized quantitative-qualitative measure of inaccuracy
In coding theory, generally, we come across the problem of efficient coding of messages to be sent over a noiseless channel and attempt to maximize the number of messages that can be sent through a channel in a given time. Therefore, we find the minimum value of a mean codeword length subject to a given constraint on codeword lengths. As the codeword lengths are integers, the minimum value lies between two...
Evaluation of continuous host-parasitoid models
In this paper the performance of continuous host-parasitoid models were investigated. The parameter values for several well-known models: Lotka-volterra, Holling Tanner Type 2, Holling Tanner Type 3, Leslie, Bazykin, Beddington-DeAngelis, Yodzis and Rosenzwing-Macarthur models were estimated. The models were tested on 40 consecutive sets of time series data collected at 14 days interval for pest and...
Department of Computer Science, University of Peshawar, Peshawar, Khyber Pakhtoonkhwa, Pakistan.
A natural language contains a variety of ambiguities. From a computational point of view, it is very difficult to cope with these ambiguities. Syntactic ambiguity arises from the relationship between the words and clauses of a sentence, not from the range of meanings of single words. Here, a knowledge-based adaptive approach has been proposed to resolve the syntactic ambiguities in Pashto text. The resolution...
Fuzzy multi-objective linear programming for traveling salesman problem
Traveling Salesman Problem (TSP) is an important problem in Artificial Intelligence and Operations Research domain. The problem has been investigated under different headings and solved with various approaches including soft computing and linear programming. The conventional linear programming deals with crisp parameters. However, information available in real life system is of vague, imprecise and uncertain...
Transmission dynamics of infectious diseases by immigrants in a vaccinated and temporary immune protected population
In this paper, a mathematical model of infectious diseases by immigrants in a vaccinated and temporary immune protected population has been investigated. The model incorporates the assumption that immigrant individuals enter in the respective population with an immunity received from either vaccination or recover from the disease. The stability of the system has been analyzed for the existence of the...
Ample invertible sheaves on the irreducible components of an exceptional locus
Resolving the -dimensional -Singularity, an exceptional locus will be obtained (), where are the irreducible components of , and they are isomorphic to. These are invertible sheaves. We study the conditions to be ample, using the known Kleiman's Criterion Kleiman (1966). Key words: Simple singularity, exceptional locus, ample sheaves.
A mathematical approach to transportation related data of South Assam for the optimal age of replacement of a vehicle and daily expenditure minimization
This paper deals with the replacement issue of an Omni bus plying on Silchar–Guwahati route in India under government and private travel agencies and daily expenditure minimization of travel agencies. In this paper, effort has been given to study the age at which a bus should be replaced on the basis of various expenditure on it. It also attempts to calculate how to minimize daily expenditure of a bus...
Location of ambulance emergency medical service in the Kumasi Metropolis, Ghana
Location of emergency medical services such as an ambulance in urban locations has been under study for a long time. Several approaches have been employed in solving this very sensitive location problem. In this paper, a case study of the ambulance location problem in an urban setting as the Kumasi metropolis in Ghana is solved. The Non-Linear Maximum Expected Covering Location Problem (MEXCLP) implemented by...
Modified extended median test
This paper proposes a modified extended median test that adjusts for the effects of any possible ties in the specific data. The proposed method is illustrated with data. A comparison with the extended median test suggests that the proposed method is at least as powerful as the extended median test.In this study, the proposed extended median test presents an example indicating that the...
Testing the equality of central tendency measures using various trimming strategies
Ft statistic test is a non classical method of comparing two or more groups. This statistical procedure is able to handle problems of sample locations when non-normality occurs but the homogeneity of variances assumption still applies. This method is not robust under the existence of variance heterogeneity. To make this test less sensitive when either one or both of the common assumptions are violated,...
Key exchange scheme with higher security and its analysis
Proposed paper gives a secure key exchange scheme using block upper triangular matrices of higher order. By using this method it is possible to generate keys of large orders without the need of large primes thereby avoiding the common ciphertext attacks. The element used for generating shared key is the element of (1, 3) block of the matrix which depends upon the elements of (1, 2) as...
A dynamic programming approach to optimal manpower recruitment and promotion policies for the two grade system
Many manpower models play a dominant role in efficient design and control of manpower system. In this paper, a mathematical model has been developed with the objective of minimizing the manpower system cost during the recruitment and promotion period which are determined by the changes that take place in the system. It resulted in the form of recursive optimization, a dynamic...
Performance analysis of QoS in PMP mode WiMAX networks
IEEE 802.16 standard supports two different topologies: Point to multipoint (PMP) and mesh. In this paper, a QoS mechanism for point to multipoint of IEEE 802.16 and BS scheduler for PMP mode is proposed. This paper also describes quality of service over WiMAX networks. Average WiMAX delay, average WiMAX load and average WiMAX throughput at base station is analyzed and compared by applying...
A metaheuristic and PTAS approach for NP-hard scheduling problem with controllable processing times
Most of the applied and interesting problems in industry and real world are difficult to solve. These problems are often NP-hard and the problem in this paper is strongly NP-hard. Approximation and metaheuristic algorithms are used to find a solution to these problems. In this paper we have used a polynomial time approximation algorithm, this algorithm is a suboptimal approach that provably works...
Application of factor analysis to data on improved cassava varieties cultivated in Nigeria
This study adopted the multivariate methods to analyze a set of data on the proximate composition of fufu flours processed from 43 different Cassava Mosaic Disease (CMD) resistant varieties from International Institute of Tropical Agriculture (IITA) Onne, Port Harcourt, Nigeria. The factor analysis of the data showed that four components were significant (P <...
Consistent estimators of intrinsically linear econometric model of the Nigerian economy
This study compares the simulation performance of an operational econometric model of the Nigerian economy. Five estimators namely OLS, 2SPC4, 2SPC6 and 2SPC8 were used to obtain consistent estimators of the structural parameters in an econometric model of the Nigerian economy when some of the equations are non-linear but intrinsically linear. The performance of the estimators was ranked...
A note on indirect least squares and matrix partitioning
At times, it is discovered that in using OLS in estimating an equation, inconsistent estimates are obtained because of correlation between the independent variable and the stochastic disturbance term. In such a circumstance, it is likely that the equation so estimated belongs to a wider family of equations related to the practical situation under consideration. Inevitably, a model describing the...
A study on Agile Software Testing: Emergence and techniques
Customer satisfaction, quick and efficient delivery of finished products is all that is needed to lead the way in addressing issues regarding numerous software life cycles. Starting from waterfall model to any present life cycle, we find various advantages and disadvantages to be implemented in software development. Software testing is the state that takes the much of elapse time of SDLC....
Combined influence of Soret and Dufour effects on convective heat and mass transfer flow through a porous medium in cylindrical annulus with heat sources
The heat and mass transfer characteristics of non-Darcy mixed convective flow of a viscous electrically conducting fluid through a porous medium in a circular cylindrical annulus in the presence of temperature gradient heat sources with Soret and Dufour effects have been analyzed. The partial differential equations governing the problem under consideration are transformed into a system of ordinary...
Transformation of emotion based on acoustic features of intonation patterns for Hindi speech
Changes in intonation patterns may convey not only different meaning but different emotions even if the sequence of speech segments are same in a sentence. The patterns change depending upon structure and emotion of the sentence and require being stored in speech database. It is a difficult and time-consuming task to store all utterances of all the expressive style, which also consumes huge memory...
On Laguerre-Gaussians and Fredholm integral equations
The Gaussian and its generalization known as the Laguerre-Gaussians are used in this paper as a collocation basis for Fredholm integral equations of the second kind. The collocation points are chosen so that they coincide with the points around with the interpolant is translated. This leads to a linear system whose solution gives the coefficients of the interpolant. In this study, we have used...
Exploring Bayesian networks for medical decision support in breast cancer detection
The objective of this paper is to explore the implementation of a Bayesian Belief Network for an automated breast cancer detection support tool. It is intuitive that Bayesian networks are employed as one viable option for computer-aided detection by representing the relationships between diagnoses, physical findings, laboratory test results and imaging study findings. This work brings important...
An inventory model with price breaks: Fuzzy approach
In this paper Fuzzy inventory model is developed with price breaks; a joint economic lot-size model is developed under Fuzzy environment. Optimum order quantity and optimum number of price breaks are obtained through the techniques of Fuzzy mathematics. Cost function of both buyer and seller is represented by Fuzzy membership function, and model is solved for optimum results by reformulating it as...
The data encryption standard thirty four years later: An overview
The data encryption standard was the first encryption system to meet the National Institute of Standards and Technology’s requirements for an encryption system, and also the first standardized encryption system. It was standardized in 1977 and since then, it has been subject to criticisms. The successor to the Data Encryption Standard, Advanced Encryption...
Some properties of upper fuzzy order
In this paper we shall study some properties for upper fuzzy subgroups, some lemma and theorem for this subject. Key words: Fuzzy set, upper fuzzy subgroups, upper normal fuzzy subgroups, upper fuzzy order.
Minimal strongly balanced changeover designs with first residuals
Assuming the presence of first order residual effects, besides periods, experimental units and direct effects of treatments, a class of minimal strongly balanced changeover designs has been proposed. For v treatments, the designs require 2v experimental units for v/2 periods. It is seen that in terms of variances of estimated elementary contrasts in treatment effects, these designs are partially...
On Monte Carlo forecast of production using nonlinear econometric models
In this study, Monte Carlo (stochastic) and deterministic forecasts have been carried out. The authors observe that there is reasonable gain in efficiency by Monte Carlo forecast over the deterministic procedure. Key words: Monte Carlo forecast, deterministic forecast, efficiency.
Calculation of the electron drift mobility in Cr2+:ZnS and Cr2+:ZnSe materials by rode iteration model
The results of electron drift velocity in Cr2+:ZnS, and Cr2+:ZnSe are calculated for different temperature, free-electron concentrations and compositions. The two-mode nature of the polar optic phonons is considered jointly with deformation potential acoustic, piezoelectric, alloy and ionized-impurity scattering. Band non-parabolocity, admixture of p functions, arbitrary...
Analytical model for I-V analysis of buried gate MESFET with modulation frequency characteristics
The analysis of frequency-dependent characteristics of an ion-implanted buried-gate GaAs MESFET, with front side illumination has made achieving improved performance in I-V characteristics possible. When photo energy falls on the device, flow of charge carriers changes corresponding to the change in wave length and frequency of incident light. It has been observed that the...
On discussion of the definition of probability
Mathematicians and scientists generally come to know the meaning of probability at a much latter stage of learning and research instead of getting it within the first two years in college or university. This work involving some random experiments with coins and dice, is an attempt to give first or second year students in the university a classroom demonstration of the approaches to the definition...
An adaptive finite volume method using thin plate splines for the numerical simulation of the inviscid Burgers’ equation
Thin plate splines are utilized in the construction of a non-oscillatory finite volume method for the inviscid Burgers’ equation which is a prototype nonlinear conservation law. To capture the sharp features that occur during numerical simulation, the method is implemented on an adaptive triangulation. An a posteriori error indicator is used to detect regions where the solution...
Population prediction using artificial neural network
Recently, the use of mobile applications in knowledge management systems has been a majordiscussion in some literatures. In the past, the author’s conceptualized and designs a knowledge management system for “Ifa”. In this paper, a mobile application is designed which applies mobile knowledge management (mKM) to the “ifa” oracle consultation process...
An improved chaotic encryption scheme
In this paper, an attempt is made to develop a functional encryption scheme by exploiting the strength and redefining the operational limits of two related existing schemes. Various parameters used for comparative assessment show that the proposed scheme is better than the existing ones in terms of functionality, strength and suitability for applications in securing messages on networks and work...
An empirical mathematical model for smoke attributed mortality
This paper presents a simple empirical mathematical model which predicts the increase in mortality caused by cigarette smoking. The model considers the introduction of new brands of cigarette in the market and (or) the introduction of new smokers in a given population. The model is used to predict the smoke attributed mortality (SAM) for a period of 20 years, say, using empirical data of Nigeria population....
Appraising of Monte Carlo forecast in nonlinear econometric models
In the study, Monte Carlo (stochastic) and deterministic forecasts have been carried out. Though, as would be expected, there is reasonable gain in efficiency in the Monte Carlo forecast over the deterministic procedure. The extent of this gain depends on the relative dispersion criterion used. Key words: Monte Carlo forecast, deterministic forecast, efficiency
A stochastic iteration method for a class of variational inequalities in Hilbert space
Enhancing students interest in mathematics via multimedia presentation
Alarming statistics in mathematics education in Nigeria indicated that very few or almost none of the students in high school fancy taking up a course in mathematics in the University. Moreover, less than ten percent of these students enjoyed lessons in mathematics. Additionally, cultural and racial prejudice as well as poverty are serious issues confronting many of today's high school students, thus a set of thirty...
A mobile-based knowledge management system for “Ifa”: An African traditional oracle
Recently, the use of mobile applications in knowledge management systems has been a major discussion in some literatures. In the past, the author’s conceptualized and designs a knowledge management system for “Ifa”. In this paper, a mobile application is designed which applies mobile knowledge management (mKM) to the “ifa” oracle consultation process...
Visualization RCD (reinforced concrete design) table advisor for decision support activity
Reinforced concrete design (RCD) activity requires the services of design table to pick bar sizes and area of specific bar groups. This allow reinforced concrete (RC) designers to use their intuition to pick the right bar size for detailing of RC Structures which virtually enhance reliable and satisfactory answers to RCD problems. With the advent of computer with its powerful memory, most RCD software available...
Norm properties of operators whose norms are Eigenvalues
In this paper we present properties of a norm-attaining operator on a Hilbert space and there implications. We show that if T has norm attaining vector then where the scalars are nonnegative numbers. Thus T satisfies a generalized Daugavet condition. Key words: Numerical range, eigenvalue, normalloid...
Computing leaf rectangularity index: An estimation problem when the parameter is a norm of a vector
A measure known as leaf rectangularity index (LRI) is estimated by means of bootstrap regression. The index, it is envisaged, will assist in discussing the geometry of leaf surfaces, if possible among different plants and across species. The study shows that one cannot obtain the point estimate of LRI before its interval estimate; rather, the interval estimate comes first before the point estimate. This paper gives the...
Subclasses of analytic functions associated with Wright generalized hypergeometric functions
In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed. Key words: Univalent functions, convex...
A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-PADÉ
In this study, the differential transform method (DTM) was applied to steady flow over a rotating disk in porous medium with heat transfer. The governing equations can be written as a system of nonlinear ordinary differential equations. The approximate solutions of these equations were obtained in the form of series with easily computable terms. Then, Padé approximant was applied to increase the convergence...
A mathematical model of radioimmunotherapy for tumor treatment
There is rapidly growing interest in the potential for synergistic, clinically relevant therapeutic responses by combining radiation therapy with immune response. A new mathematical model of radioimmunotherapy for tumor treatment was introduced. In this work, the linear and exponential spatial dependence of tumor parameters was used. The dose distributions model of radiotherapy with immune response for tumor treatment...
Heat transfer over an unsteady porous stretching surface embedded in a porous medium with variable heat flux in the presence of heat source or sink
The unsteady boundary layer flow over a porous stretching surface embedded in a porous medium in the presence of heat source or sink is studied. The unsteadiness in the flow and temperature fields is caused by the time dependence of the stretching velocity and the surface heat flux. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved...
New generalizations of generalized geometric series distributions
New generalizations of generalized geometric series distributions (NGOGGSD) and some of its subclasses are introduced. Recurrence relations and factorial moments are obtained. Several properties of NGOGGSD and its relations with other distributions are also discussed. Finally, a computer programmed in R-Software has been developed to ease the computations while estimating the parameters for data. Some sports sets of...
Some structural compatibilities of pre A*-algebra
A pre A*-algebra is the algebraic form of the 3-valued logic. In this paper, we define a binary operation on pre A*-algebra and show that is a semilattice. We also prove some results on the partial ordering which is induced from the semilattice. We derive necessary and sufficient conditions for pre A*-algebra (A,Ù,Ú, (-)~) to become a Boolean algebra in terms of this partial...
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