Open Access Original Research Article

A Modeling Study of Microscale Convection on the Heat Transfer Mode of a Fluid

A. K. Borah, A. N. Dev .

Journal of Advances in Mathematics and Computer Science, Page 181-193
DOI: 10.9734/BJMCS/2011/423

This paper deals with microscale convection on the heat transfer mode associated with the bulk movement of a fluid. It occurs when a fluid is in contact with a solid surface, and when there is a temperature difference between the surface and the fluid. Whether the motion of the fluid particles is due to density differences imposed by a temperature distribution in the fluid and the resultant buoyancy device, as in the case of face and natural convection, or due to an external device such as a pump that forces the fluid pass the surface, the energy transport phenomenon in convection in always closely related to the fluid motion. Thus, the analysis of convective heat transfer involves a careful analysis of the fluid flow, its behaviour, and characteristics.

Open Access Original Research Article

Face Recognition by Bunch Graph Method Using a Group Based Adaptive Tolerant Neural Network

D. Aradhana ., H. Girish ., K. Karibasappa, A. Chennakeshava Reddy

Journal of Advances in Mathematics and Computer Science, Page 194-203
DOI: 10.9734/BJMCS/2011/371

This paper presents a new method for feature extraction from the facial image by using bunch graph method. These extracted geometric features of the face are used subsequently for face recognition by utilizing the group based adaptive neural network. This method is suitable, when the facial images are rotation and translation invariant. Further the technique also free from size invariance of facial image and is capable of identifying the facial images correctly when corrupted with noise/ camouflage. The method shows a result of 97% correct result in facial database of 320 images of 10 classes. The technique can be extended easily to incorporate the rotational invariance of the images.

Open Access Original Research Article

A Mathematical Model of Complexity and Its Application to Chemotaxis

G. Auletta .

Journal of Advances in Mathematics and Computer Science, Page 204-227
DOI: 10.9734/BJMCS/2011/502

Important steps in our understanding of the bio–molecular mechanism of the bacterial chemotaxis allow for building an abstract informational–cybernetic model. The aim of this paper is to show that a mathematical model of complexity based on local (but not overall) shared information (soft assembly) allows for setting the appropriate constraints on both the connections among the bacterium’s subystems as well as between the bacterium and the external environment (the case of Escherichia coli is considered here). The conclusion is that a necessary trade–off between intrinsic order and variability allows a good modelisation of the bacterium’s behaviour.

Open Access Original Research Article

Tracking Table Tennis Balls in Real Match Scenes for Umpiring Applications

K. C. P. Wong, L. S. Dooley

Journal of Advances in Mathematics and Computer Science, Page 228-241
DOI: 10.9734/BJMCS/2011/623

Judging the legitimacy of table tennis services presents many challenges where technology can be judiciously applied to enhance decision-making. This paper presents a purpose-built system to automatically detect and track the ball during table-tennis services to enable precise judgment over their legitimacy in real-time. The system comprises a suite of algorithms which adaptively exploit spatial and temporal information from real match video sequences, which are generally characterised by high object motion, allied with object blurring and occlusion. Experimental results on a diverse set of table-tennis test sequences corroborate the system performance in facilitating consistently accurate and efficient decision-making over the validity of a service.

Open Access Original Research Article

Some Properties of Weighted Norm Inequalities for the Hardy-Littlewood Maxima Function

K. Rauf, J. O. Omolehin, S. O. Makanjuola

Journal of Advances in Mathematics and Computer Science, Page 242-248
DOI: 10.9734/BJMCS/2011/468

Many researchers have expended their efforts on Hardy-Littlewood Maxima operator but little or no work has been done if the operator is acting on a power function. In this article, new characterization of Hardy-Littlewood Maxima operator bounded from Lp (Rn,wdx) to Lq (Rn,vdx) for weight functions v(x) and some non-trivial w(x) are proved. Our novel methods generalized and sharpened Wo-sang Young results to perfection.