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Volume 14, August
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Volume 14, April
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

Table of Contents

Math. Comput. Appl., Volume 14, Issue 3 (December 2009) – 8 articles , Pages 169-251

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Open AccessArticle
Classification of Helicobacter Pylori according to National Strains using Bayesian Learning
Math. Comput. Appl. 2009, 14(3), 241-251; https://doi.org/10.3390/mca14030241 - 01 Dec 2009
Cited by 5 | Viewed by 1062
Abstract
There is many studies about Helicobacter pylori genome and many instances of national strains are sequenced completely. To make a successful classification, the same functional portions have to be used a classifier like Bayesian Learning. Thus suitable genes will be used for classification [...] Read more.
There is many studies about Helicobacter pylori genome and many instances of national strains are sequenced completely. To make a successful classification, the same functional portions have to be used a classifier like Bayesian Learning. Thus suitable genes will be used for classification since genes are portions that work functionally same. The cagA and vacA genes are selected for classification. cagA gene stands for ‘cytotoxin-associated protein A’ gene and vacA gene stands for ‘vacuolating cytotoxin precursor’ gene and these genes have a role of coding of these proteins. The reasons for selecting these genes are that these genes are the genes which affect the bacteria being a pathogen, Nucleotide numbers of these genes are higher than the most of other genes of bacteria, and these genes are the most popular genes of Helicobacter pylori. There are some instances of these genes which are classified with respect to national strains. The national strains are based on the nation of the host human. The cause of the difference on national strains is the difference of the cultural activities. If the national strain of a random Helicobacter pylori bacterium is known, the host human's nation can also be known approximately. The aim of this study is to classify Helicobacter pylori according to National strain using a well-know classification technique named Bayesian Learning. Full article
Open AccessArticle
A Practical Algorithm for Simulation of Transient Performance of Chopper-Controlled R-L and Dc Drive Loads
Math. Comput. Appl. 2009, 14(3), 229-239; https://doi.org/10.3390/mca14030229 - 01 Dec 2009
Viewed by 580
Abstract
This paper presents a practical algorithm for obtaining transient response of chopper-controlled active and passive loads. Core algorithm given for simulating transient response of chopper-controlled R-L load is extended to chopper-controlled DC drive, covering both the continuous and discontinuous current modes of operation. [...] Read more.
This paper presents a practical algorithm for obtaining transient response of chopper-controlled active and passive loads. Core algorithm given for simulating transient response of chopper-controlled R-L load is extended to chopper-controlled DC drive, covering both the continuous and discontinuous current modes of operation. Although chopper-controlled loads are taken as case studies, with a little effort the core algorithm can be readily extended to handle the transient response of the other system which manifests periodic discontinuous forcing functions of different types. Transient current and speed responses of chopper-controlled DC drive, which are obtained from application of the proposed algorithm are compared with their counterparts obtained from detailed numerical solution of the state-space model of the drive using fourthorder Runge-Kutta method, and the advantages of proposed algorithm are discussed. Full article
Open AccessArticle
Genetic Algorithm Based Solution for TSP on a Sphere
Math. Comput. Appl. 2009, 14(3), 219-228; https://doi.org/10.3390/mca14030219 - 01 Dec 2009
Cited by 3 | Viewed by 1110
Abstract
The Traveling Salesman Problem (TSP) is one of the extensively studied combinatorial optimization problems. Various exact or approximation algorithms are devised for solving Euclidean TSP that determine the shortest route through a given set of points in 3-dimensional Euclidean space. In this paper, [...] Read more.
The Traveling Salesman Problem (TSP) is one of the extensively studied combinatorial optimization problems. Various exact or approximation algorithms are devised for solving Euclidean TSP that determine the shortest route through a given set of points in 3-dimensional Euclidean space. In this paper, we proposed a genetic algorithm-based solution for TSP where all points are on the surface of a sphere. A Java-based interactive visualization tool is also developed using Java 3D and optimization results obtained for different problem sizes are presented. Full article
Open AccessArticle
A MATLAB/GUI Based Fault Simulation Tool for Power System Education
Math. Comput. Appl. 2009, 14(3), 207-217; https://doi.org/10.3390/mca14030207 - 01 Dec 2009
Cited by 9 | Viewed by 1503
Abstract
A MATLAB/GUI (Graphical User Interface) based simulation tool has been developed to calculate the short-circuit fault currents in power transmission lines and to use as an educational material for courses on power system analysis. Presented program provides the calculation of three-phase (3LS), single [...] Read more.
A MATLAB/GUI (Graphical User Interface) based simulation tool has been developed to calculate the short-circuit fault currents in power transmission lines and to use as an educational material for courses on power system analysis. Presented program provides the calculation of three-phase (3LS), single line-to-ground (1LG), line-to-line (2LS), and double line-to-ground (2LG) faults on transmission lines. Symmetrical components of currents and voltages are used for calculations in the program. By means of the program, calculated fault currents and voltages on the fault point of the line have been presented both in per-unit and in real values. Furthermore, this calculated currents and voltages can be observed in GUI screen. In this way, an educational tool has been developed for the students to check the accuracy of their calculations and to observe the variations of waveforms. The purpose of this GUI based tool is to help the student to understand the concept of symmetrical components and short-circuit faults. Full article
Open AccessArticle
Linear Vibrations of Frames Carrying a Concentrated Mass
Math. Comput. Appl. 2009, 14(3), 197-206; https://doi.org/10.3390/mca14030197 - 01 Dec 2009
Cited by 3 | Viewed by 556
Abstract
The free and forced in-plane and out-of-plane vibrations of frames are investigated. The beam has a straight and a curved part. It has a circular cross-section. A concentrated mass is also located at different points of the frame with different mass ratios. FEM [...] Read more.
The free and forced in-plane and out-of-plane vibrations of frames are investigated. The beam has a straight and a curved part. It has a circular cross-section. A concentrated mass is also located at different points of the frame with different mass ratios. FEM is used to analyze the problem. The in-plane and out-of-plane natural frequencies, point and transfer receptances of the system are obtained to determine the sensitive and non-sensitive frequency intervals depending on the location and direction of the force. Full article
Open AccessArticle
Automatic Traffic Density Estimation and Vehicle Classification for Traffic Surveillance Systems Using Neural Networks
Math. Comput. Appl. 2009, 14(3), 187-196; https://doi.org/10.3390/mca14030187 - 01 Dec 2009
Cited by 83 | Viewed by 2938
Abstract
It is important to know the road traffic density real time especially in mega cities for signal control and effective traffic management. In recent years, video monitoring and surveillance systems have been widely used in traffic management. Hence, traffic density estimation and vehicle [...] Read more.
It is important to know the road traffic density real time especially in mega cities for signal control and effective traffic management. In recent years, video monitoring and surveillance systems have been widely used in traffic management. Hence, traffic density estimation and vehicle classification can be achieved using video monitoring systems. In most vehicle detection methods in the literature, only the detection of vehicles in frames of the given video is emphesized. However, further analysis is needed in order to obtain the useful information for traffic management such as real time traffic density and number of vehicle types passing these roads. This paper presents vehicle classification and traffic density calculation methods using neural networks. The paper also reports results from real traffic videos obtained from Istanbul Traffic Management Company (ISBAK). Full article
Open AccessArticle
CSLS: Connectionist Symbolic Learning System
Math. Comput. Appl. 2009, 14(3), 177-186; https://doi.org/10.3390/mca14030177 - 01 Dec 2009
Cited by 3 | Viewed by 835
Abstract
This paper presents CSLS, a symbiotic combination of inductive and neural learning. CSLS has two components, an induction algorithm to carry out inductive learning and a multi-layer perceptron (MLP) to implement neural learning. The paper outlines the operation of the components of CSLS [...] Read more.
This paper presents CSLS, a symbiotic combination of inductive and neural learning. CSLS has two components, an induction algorithm to carry out inductive learning and a multi-layer perceptron (MLP) to implement neural learning. The paper outlines the operation of the components of CSLS and describes how the combined system is designed to utilise the individual strengths of inductive and neural learning to the best advantage. The paper gives the results of evaluating CSLS on the IRIS data and Breast-Cancer-Wisconsin-data classification problems. These clearly demonstrate the main benefit of the symbiotic combination: the combined system performs better than either of its components. Full article
Open AccessArticle
A Geometrical Optimization Problem Associated with Fruits of Poppy Flower
Math. Comput. Appl. 2009, 14(3), 169-175; https://doi.org/10.3390/mca14030169 - 01 Dec 2009
Viewed by 722
Abstract
Inspired from the poppy fruit (Papaver rhoeas L.), a geometrical optimization problem is posed. The aim is to minimize the surface area for a given volume. The poppy fruit geometry is selected as the optimization geometry. The mathematical problem is solved using [...] Read more.
Inspired from the poppy fruit (Papaver rhoeas L.), a geometrical optimization problem is posed. The aim is to minimize the surface area for a given volume. The poppy fruit geometry is selected as the optimization geometry. The mathematical problem is solved using calculus. The optimum solutions obtained from mathematical model are contrasted with measurements of the fruit. A good agreement with difference in areas less than 1% in most of the cases is observed between the results. Full article
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