Different scenarios of examinations have to be handled separately when measuring the true performance of students. If examiners are required to compare the performance of different groups of students who follow different combinations of subjects in an examination, their combined...
Open access
Research Article10.9734/BJMCS/2016/23213
This article substantiates a new look on Euclid's Elements and mathematics history, based on Proclus hypothesis. Proclus hypothesis answers the question about Euclid’s goal for writing his Elements. Two Greek mathematical achievements underlie Proclus hypothesis: the golden ratio...
Open access
Research Article10.9734/BJMCS/2016/23100
The methodology of experimental mathematics has not yet been applied to the frequencies of prime numbers thus the present report treats them as raw experimental data and as elements of larger and larger finite sequences {fm}≡{mp/Pm}. The modified chi-square function Xk2(A,x/μ) wi...
Open access
Research Article10.9734/BJMCS/2016/23200
With the development of 4G mobile communication technologies, mobile networks are evolving into a new generation, which is expected to support not only the traditional services such as phone calls and text messages, but also the high-speed applications such as real-time videos, s...
Open access
Research Article10.9734/BJMCS/2016/23355
In this paper, higher order single-input and single-output models are considered for reduction using differentiation method. The analysis of higher order models is complex, and time consuming. The application of model order reduction is necessitated to reduce the system with its...
Open access
Research Article10.9734/BJMCS/2016/23082
The determination of the number of representations of a positive integer by certain quadratic forms is an important goal of number theory. Formulae for N(12i, 22j, 32k, 62l; n) for the nine octonary quadratic forms appear in the literature, whose coefficients are 1, 2, 3 and 6. H...
Open access
Research Article10.9734/BJMCS/2016/23292
Security is an essential element in maintaining any network. This paper demonstrates the development and implementation of a communication security system that uses a layered approach to network security in the conceptual view of knowledge management, thus preserving the integrit...
Open access
Research Article10.9734/BJMCS/2016/23217
Age estimation is the determination of a person’s age based on biometric features such as face, finger print etc. it is a hard problem for both humans and the computer system. In this paper, back propagation neural network was used to classify face images into eight different age...
Open access
Research Article10.9734/BJMCS/2016/22869
Let G be an arbitrary simple and connected graph, with the vertex set V(G) and edge set E(G). The first Zagreb index of a graph G is defined as , where du and dv are the degrees of u and v, respectively. An alternative expression for M1 (G) is . And similarly, the Second Zagreb...
Open access
Research Article10.9734/BJMCS/2016/22752
In this paper, a high-order transfer function is reduced by the stability equation method. The reduced model is based on the pole zero patterns. In this paper, the stability equation method is compared to other methods and proved to be better in comparison to other methods in lit...
Open access
Research Article10.9734/BJMCS/2016/23243