Research ArticleOpen accessIn the keywordsA Measure of Monotonicity of two Random VariablesFarida Kachapova, Ilias KachapovProblem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure general or linear dependence of random variables. Developing a measure of monotonicity was useful for practical applications as well as for general theory, since monotonicity was an important type … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 26 May 2012 · 8,692 accessesView PDFCite
Research ArticleOpen accessIn the keywordsConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDFCite
Research ArticleOpen accessIn the keywordsObject Recognition Based on Image Segmentation and ClusteringS. Thilagamani, N. ShanthiProblem statement: This study deals with object recognition based on image segmentation and clustering. Acquiring prior information of an image is done via two separate processes. Approach: The first process deals with detecting object parts of an image and integration of detected parts into several clusters. All these cluster centers form the visual words. The second process deals with over … …Journal of Computer Science, Vol. 7, Issue 11 · 6 Sep 2011 · 7,074 accessesView PDFCite
Research ArticleOpen accessIn the abstractSome Applications of Spanning Trees in Complete and Complete Bipartite GraphsS. N. DaoudProblem statement: The number of spanning trees τ(G) in graphs (networks) is an important invariant, it is also an important measure of reliability of a network. Approach: Using linear algebra and matrix analysis techniques to evaluate the associated determinants. Results: In this study we derive simple formulas for the number of spanning trees of complete graph Kn and complete bipartite … …American Journal of Applied Sciences, Vol. 9, Issue 4 · 15 Feb 2012 · 7,263 accessesView PDFCite
Research ArticleOpen accessIn the abstractImpact of Abattoir and Saw-Mill Effluents on Water Quality of Upper Ogun River (Abeokuta)A. O. Adeogun, A. V. Chukwuka, O. R. IborProblem statement: The unregulated discharge of contaminants from point sources into inland freshwater aquatic systems and the resultant deterioration of water quality are largely undocumented in developing countries like Nigeria especially with respect to the role of seasonal factors on the recovery capacity of aquatic systems. Approach: The aim of this study was to assess the impact of abattoir and … …American Journal of Environmental Sciences, Vol. 7, Issue 6 · 6 Jan 2012 · 8,634 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumber of Spanning Trees of Circulant Graphs C6n and their ApplicationsS. N. DaoudProblem statement: The number of spanning trees of a graph G is usually denoted by τ(G). A circulant graph with n vertices and k jumps is Cn (a1,…..,ak). Approach: In this study the number τ(G) of spanning trees of the circulant graphs C6n with some non-fixed jumps such as C6n (1, n), C6n (1, n, 2n), C6n (1, n, 3n), … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 12 Dec 2011 · 7,626 accessesView PDFCite
Research ArticleOpen accessIn the abstractComplexity of Cocktail Party Graph and Crown GraphS. N. DaoudProblem statement: The number of spanning trees τ(G) in graphs (networks) was an important invariant. Approach: Using the properties of the Chebyshev polynomials of the second kind and the linear algebra techniques to evaluate the associated determinants. Results: The complexity, number of spanning trees, of the cocktail party graph on 2n vertices, given in detail in the text was proved. … …American Journal of Applied Sciences, Vol. 9, Issue 2 · 12 Dec 2011 · 7,868 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Numerical Estimation of Thermal Contact Resistance in Contacting SurfacesM.H. Shojaefard, K. GoudarziFor some manufacturing processes, the heat transfer between the components, the tools and the environment has an effect on tool-life and the accuracy of the formed component. Consequently, the measurement of Thermal Contact Resistance (TCR) is of increasing interest to researchers and industrial engineers participating in the manufacture of high-precision components. A new transient method and measurement apparatus are used … …American Journal of Applied Sciences, Vol. 5, Issue 11 · 30 Nov 2008 · 7,451 accessesView PDFCite
Research ArticleOpen accessIn the abstractRat Cardiomyocytes Express a Classical Epithelial Beta-DefensinAnnika Linde, Gerald H. Lushington, Frank Blecha, Tonatiuh MelgarejoBeta-defensins (BDs) are classical epithelial antimicrobial peptides of immediate importance in innate host defense. Since recent studies have suggested that certain BDs are also expressed in non-traditional tissues, including whole heart homogenate, and because effector molecules of innate immunity and inflammation can influence the development of certain cardiovascular disease processes, we hypothesized that BDs are produced by cardiomyocytes as a … …American Journal of Animal and Veterinary Sciences, Vol. 3, Issue 1 · 31 Mar 2008 · 6,994 accessesView PDFCite
Research ArticleOpen accessIn the abstractStudy of the Optical and Physical Roles of a Dielectric Laser Dye Solvent Which Affects on the Dye Laser OperationRiyad A.M. GhazyIt is well known that when the pump laser beam incidence on the laser dye liquid it will be absorbed. This absorption tends to heat the laser active medium, which is the laser dye solution. In view of this the correlated property of that active medium well change tends to shift the operated frequency and wavelength. Therefore, one of most … …American Journal of Applied Sciences, Vol. 2, Issue 5 · 31 May 2005 · 6,862 accessesView PDFCite