Open Access Short Research Article

A Metric for Data Set Comparison Via QR-factorization

T. C. Redd, D. P. Clemence

Journal of Advances in Mathematics and Computer Science, Page 1-19
DOI: 10.9734/BJMCS/2016/26476

A new metric is introduced for comparing matrix data sets based on QR-factorizations. The metric measures the degree of similarity between the bases of any two matrices, with measure values in the interval [0, 1]. The metric is initially developed in a general framework, for any m×n matrix. The proposed measure is then discussed specifically in reference to matrices representing theoretical and physical data sets. The measure has direct applications for projects involving particle travel, and image recognition, comparison, and registration, particularly in instances involving intermodal data acquisition. The measure is shown to satisfy the requirements for a metric and is demonstrated to calculate rotation angle between two data sets that differ by angle, θ. The results show that the metric works well in assessing differences between data sets that differ by small perturbations, assuming proper alignment prior to comparison. It is also shown to be an effective tool for 1) determining optimal rotational alignment of test 2 − D images and 2) identifying an unknown sample in a data base in a single blind test.

Open Access Short Research Article

Total Domination Number of Generalized Petersen Graphs P(ck,k)

Wensheng Li, Fengjun Liu, Liqiang Fan, Wei Chen, Jie Fang

Journal of Advances in Mathematics and Computer Science, Page 1-7
DOI: 10.9734/BJMCS/2016/27588

A set S of vertices of a graph G = (V, E) with no isolated vertex is a total dominating set if every vertex of V(G) is adjacent to some vertex in S. The total domination number is the minimum cardinality of a total dominating set of G. In this paper, we study the total domination in generalized Petersen graphs P(ck,k). The upper bounds of the total domination number of generalized Petersen graphs P(3k,k) and P(4k,k) are obtained.

Open Access Original Research Article

A Hybrid Cascade Approach for Human Skin Segmentation

Samy Bakheet, Ayoub Al-Hamadi

Journal of Advances in Mathematics and Computer Science, Page 1-14
DOI: 10.9734/BJMCS/2016/26412

Human skin segmentation is fundamental to a wide range of computer vision applications ranging from face recognition, facial expression recognition and gesture analysis to various human computer interaction domains. In this paper, we propose a multistage skin segmentation method built as a cascade of a nonparametric generic model and an adaBoost classifier. Several entities are used to train the adaBoost classifier. Feature vectors fed into the ada Boost contain color information from two different color spaces. Extensive experiments are conducted on two datasets in order to evaluate the performance of the approach. The various results obtained show that the proposed method is a promising approach and it successfully achieves high quality segmentation, while concurrently retaining reasonably low false alarm rates. The comparison of the proposed method with related state-of-the-art competitors reveals the superiority and effectiveness of the proposed method, while maintaining real-time performance.

Open Access Original Research Article

Heat and Mass Transfer on Unsteady MHD Flow of a Visco-Elastic Fluid Past an Infinite Vertical Oscillating Porous Plate

K. Raghunath, M. Veera Krishna, R. Siva Prasad, G. S. S. Raju

Journal of Advances in Mathematics and Computer Science, Page 1-18
DOI: 10.9734/BJMCS/2016/25872

The unsteady MHD flow of visco-elastic fluid past an infinite oscillating porous plate in slip flow regime is investigated. The unsteady equations of the governing flow are solved by perturbation technique for elastic parameter is least. The mathematical expressions for the velocity, temperature, concentration distributions have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of graphs. Also the skin friction, the Nusselt number and the Sherwood number are also obtained analytically and their behaviour is discussed computationally.

Open Access Original Research Article

Pseudo Lifting Modules

Faisal H. Nesayef

Journal of Advances in Mathematics and Computer Science, Page 1-6
DOI: 10.9734/BJMCS/2016/27209

Let R be a ring with identity, and M is a unitary R-module.  In this paper we introduce and study the concepts of pseudo lifting modules and give basic properties, examples and characterizations of these concepts.

Open Access Original Research Article

Software Development for the Prediction of Hydrate Formation Conditions

O. A. Falode, O. O. Adedire

Journal of Advances in Mathematics and Computer Science, Page 1-14
DOI: 10.9734/BJMCS/2016/27063

Web-based software named “SEN ABLE” to run on both desktop workstations and mobile devices was developed to simulate hydrate formation temperature and pressure conditions using available data to develop the software. Twenty four (24) correlations were studied and streamlined down to 15. These fifteen correlations were coded into the ‘senengine’, the backend code that powers the software. The software and its engine were created in scarlet macaw and adobe dreamweaver, using programming languages such as html5, php, css3, and javascript. The software was tested and debugged on mozilla firefox web browser and a blackberry™ mobile phone browser. It was further tested on other major web and mobile browsers for compatibility. After various development and debugging phases, the software was tested and evaluated using experimental data. Also, the results from the software were compared with those gotten from using the experimental data in a commercial software, hydrate plus. The comparison showed pleasing results.

The software is a cheaper alternative to the other expensive commercial softwares that perform the same functions. Also, with the additional advantage of being web based, it is now possible to do hydrate simulations on the go, which erstwhile could not have been done. It is also intended to further develop the software into a fully robust solids deposition simulation suite.

Open Access Original Research Article

Unique Structure of Free Particle Bound States

Hans-Peter Morsch

Journal of Advances in Mathematics and Computer Science, Page 1-11
DOI: 10.9734/BJMCS/2016/27414

Free particle bound states - which exist only as microscopic systems - are discussed in quantum field theory assuming a QED like Lagrangian with fermion and boson fields. Due to a particular structure, severe boundary conditions can be defined related to geometry, momentum and energy-momentum conservation. Applied to hadrons and atoms, masses or binding energies as well as root mean square radii - which are different by many orders of magnitude between hadrons and atoms - are well described. The fulfillment of a total of about 10 boundary conditions (with three adjustable parameters only) can be considered as a unique and precise test of the mathematical structure of the underlying field theory.