Abstract: The development of easily recoverable and re-usable catalytic nanostructures exhibiting high performances using simple and cheap procedures for applications in bio-sensing and wastewater treatment technologies is currently a prominent area of research. Noble-metal inclusive magnetic nano-catalysts in particular, have of recent gathered interest owing to their ease of separation from reaction products, environmental benignity and improved activities through synergistic qualitie...
Abstract: A rank regression based procedure for testing for the existence of publication bias in meta-analysis is proposed. The method is designed to possess the robustness of the Begg rank correlation test for publication bias and the efficiency of Egger’s regression approach. The procedure uses the Jaeckel rank-regression framework along with a rank prediction protocol for estimating the intercept term of Egger-type regression models for a robust and efficient test of publication bias in...
Abstract: Many of the most important problems arising in nonlinear analysis reduce to solv ing inclusions of monotone mappings, split equilibrium, variational inequality or fixed point problems. Analytical methods for finding exact solutions of many non linear equations are rare or unknown. Therefore, methods of approximating the solutions of nonlinear inclusion problems are of interest where solutions are known to exist. In this thesis, we combine Douglas-Rachford and Viscosity methods and ...
Abstract: Kaposi’s sarcoma is a common AIDS-defining cancer that has continued to afflict patients living with HIV-1, especially, individuals who are currently not on HAART or whose HIV-1 status is not known. Even individuals who have had a prior HHV-8 infection and are on HAART are at an increased risk of developing KS whenever drug failure occurs and when one develops drug resistance to the drugs being administered. Like other herpesvirus, KS associated herpesvirus (KSHV), also known as ...
Abstract: Some new generalized distributions called the new Gamma Lindley-Log-logistic (GLLLoG) distribution, new Weibull Generalised-G (NWG-G) family of distributions and the Exponentiated Half-Logistic Odd Lindley-G family of distributions are proposed and presented. These distributions contain several distributions such as Half-Logistic, Odd Lindley, Lindley, Log-Logistic, new-Rayleigh generalized-G, new exponential generalized-G, new Rayleigh-G and the new-Weibull-G family of distributio...
Abstract: Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n Grk,n+r and show that the G-sequence is exact if r≥kn-k.
Abstract: A mathematical model of meningococcal meningitis with incidence dependent self-protection measure and vaccination is formulated and analysed. The vaccination considered is assumed to be given to everyone and is information dependent. It is shown that the disease free equilibrium is globally asymptotically stable, which implies that if the disease reproduction number R0 can be reduced to a value less than unity then it is possible to eradicate the meningococcal meningitis. In additi...
Abstract We propose Asap, an adaptive stochastic optimization algorithm for principal component analysis (PCA), in the increasing block size setting. Asap is a novel generalized variant of the classical Oja’s algorithm (Oja, 1982), but can compute top-k principal components without the necessity of tuning the step size. Asap performs PCA by first-order gradient-based optimization based on adaptive estimates of lower-order moments as with Adagrad and Adam. We provide a theoretical guarantee ...