Open Access Minireview Article

The Technology Acceptance Model (TAM) and its Application to the Utilization of Mobile Learning Technologies

David Gitumu Mugo, Kageni Njagi, Bernard Chemwei, Jared Ochwagi Motanya

Journal of Advances in Mathematics and Computer Science, Page 1-8
DOI: 10.9734/BJMCS/2017/29015

Researchers have argued that inclusion of technologies in the teaching-learning places must be preceded by the user accepting the technology. Without this effort, the technologies remain abandoned or heavily underutilized once supplied to school system. So researchers have proposed frameworks that can inform policy makers, education managers and teachers on how best technology can be incorporated in an educational scenario. The most popular of all frameworks is the Technology Acceptance Model (TAM) as proposed by Davis, 1989. This study describes how the TAM has been used in predicting the acceptance and utilization of various technologies in teaching and learning places. The study then arguments how TAM can be adopted in the development and utilization of the most recent technological innovation for teaching and learning: - mobile technologies. The study was a documentary analysis of virtual documents stored electronically for access through the internet, text books, archival repositories as well as encyclopedia and was able to reveal that despite attitudinal and technical challenges, mobile technologies are receiving acceptance as useful resources for all pedagogical practices.

Open Access Original Research Article

Calculation of Banzhaf Voting Indices Utilizing Variable-Entered Karnaugh Maps

Ali Muhammad Ali Rushdi, Omar Mohammed Ba-Rukab

Journal of Advances in Mathematics and Computer Science, Page 1-17
DOI: 10.9734/BJMCS/2017/31191

This paper is a tutorial exposition on how to translate concepts of voting systems to the Boolean domain, and consequently on how to use Boolean tools in the computation of a prominent index of voting powers, viz., the Banzhaf voting index. We discuss Boolean representations for yes-no voting systems, in general, and for weighted voting systems, in particular. Our main observation is that non-minimal winning coalitions are related to minimal ones via partial-order structures and also as particular subordinate loops that cover the all-1 cell in the Karnaugh map. We review the method of computing the total Banzhaf indices by the Conventional Karnaugh Map (CKM). Then we extend this method to handle larger problems via the Variable-Entered Karnaugh Map (VEKM). The map methods are demonstrated by two classical weighted voting systems.

Open Access Original Research Article

Design and Implementation of Photo-induced Heart Beat Monitoring System

Olokun Mayowa Samuel

Journal of Advances in Mathematics and Computer Science, Page 1-14
DOI: 10.9734/BJMCS/2017/28023

This study presents the design of photo-induced heart beat monitor that uses cheap and readily available materials unlike most of all the rather sophisticated heart beat monitoring devices that uses complicated designs and therefore needs the help of an expert to carry out the exercise and also to do the interpretation for users, this device is simple, portable, affordable and easy to operate. This is based on principle and technique of measuring the heart beat with the method of photo induction, through a fingertip using a PIC16F877A Microcontroller interface to a Digital Display for data logging and further analysis of signals generated as a result of such activities. The circuit designed is made up of different stages which involve sensing the Finger Tip through Infrared Receiver; Filtering the Signal, thereby measuring the Heartbeat with the PIC16F877A Microcontroller; calculating through the connected Local Clock Signal and displaying the Result through the 2 X 16 Liquid Crystal Display (LCD) Output. It is therefore a useful design for everyone that wishes to stay healthy and monitor their heart rate for early detection of hypertension and heart related ailments. This design is highly versatile and economical. It can be used everywhere at anytime. It is safe, convenient and easy to use.

Open Access Original Research Article

Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer's Topological Degree

Enobong E. Joshua, Ekemini T. Akpan, Olukayode Adebimpe, Chinwendu E. Madubueze

Journal of Advances in Mathematics and Computer Science, Page 1-10
DOI: 10.9734/BJMCS/2017/31342

The necessary conditions for existence of periodic solutions of an Extended Rosenzweig-MacArthur model are obtained using Brouwer's degree. The forward invariant set is formulated to ensure the boundedness of the solutions, using Brouwers xed point properties, and Zornslemma. Also, sucient conditions for the existence of a unique positive periodic solution have been established using Barbalats lemma and Lyapunovs functional. Numerical responses show that, the phase-ows of the non-autonomous system exhibit an asymptotically stable periodic solution which is globally attractive and trapped in the absorbing region.

Open Access Original Research Article

A Multi-Regions SIRS Discrete Epidemic Model With a Travel-Blocking Vicinity Optimal Control Approach on Cells

Imane Abouelkheir, Fadwa El Kihal, Mostafa Rachik, Omar Zakary, Ilias Elmouki

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/BJMCS/2017/31355

In Susceptible-Infected-Removed-Susceptible (SIRS) compartmental models, we can suppose that a removed population has lost its immunity after being healed from an infection, and then, it moves to the susceptible compartment. In this paper, we devise a multi-regions SIRS discrete epidemic model which describes infection dynamics in regions which are connected with their neighbors by any kind of anthropological movement. We introduce controls variables into our model to show the effectiveness of movements restrictions of the infected individuals coming from the vicinity of a region we target by a control strategy we call here by the travel-blocking vicinity optimal control strategy. A gridded surface of colored cells is presented to illustrate the whole domain affected by the epidemic while each cell represents a sub-domain or region. The infection is supposed starting from only one cell located in one of the borders of the surface, while the region aiming to control is supposed to be located in the center as an example to show the effectiveness of the travel-blocking vicinity optimal control approach when it is applied to a cell with 8 neighboring cells.

Open Access Original Research Article

Coverage Probability of the Credible Interval and Credible Probability of the Confidence Interval of the Hierarchical Normal Model

Ying-Ying Zhang, Teng-Zhong Rong

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/BJMCS/2017/31816

It is well known that the coverage probability of a given nominal level confidence interval and the credible probability of a given nominal level credible interval will attain the nominal level. Moreover, it is commonly believed that the two switching concepts probabilities, that is, the coverage probability of a given nominal level credible interval and the credible probability of a given nominal level confidence interval, can not attain the nominal level in general. For the hierarchical normal model, we show that the two switching concepts probabilities can attain the nominal level in the limit when a skillful classified variable is infinity. The numerical simulations illustrate the correctness of our findings.

Open Access Original Research Article

General Version of Gauss-type Proximal Point Method and Its Uniform Convergence Analysis for Metrically Regular Mappings

M. A. Alom, M. H. Rashid, K. K. Dey

Journal of Advances in Mathematics and Computer Science, Page 1-13
DOI: 10.9734/BJMCS/2017/31193

We study the uniform convergence of the general version of Gauss-type proximal point algorithm (GG-PPA), introduced by Alom et al. [1], for solving the parametric generalized equations y ∈ T(x), where T : X  2Y is a set-valued mapping with locally closed graph, y is a parameter, and X and Y are Banach spaces. In particular, we establish the uniform convergence of the GG-PPA by considering a sequence of Lipschitz continuous functions gk : X Y with gk(0) = 0 and positive Lipschitz constants λk in the sense that it is stable under small perturbations when T is metrically regular at a given point. In addition, we give a numerical example to justify theuniform convergence of the GG-PPA.