Research ArticleOpen accessIn the abstractHomomorphisms on Lattices of MeasuresNorris Sookoo, Peter ChamiProblem statement: Homomorphisms on lattices of measures defined on the quotient spaces of the integers were considered. These measures were defined in terms of Sharma-Kaushik partitions. The homomorphisms were studied in terms of their relationship with the underlying Sharma-Kaushik partitions. Approach: We defined certain mappings between lattices of Sharma-Kaushik partitions and showed that they are homomorphisms. These homomorphisms were mirrored … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,004 accessesView PDFCite
Research ArticleOpen accessIn the abstractTactile Distinction of an Artery and a Tumor in a Soft Tissue by Finite Element MethodAli Abouei Mehrizi, Siamak Najarian, Majid Moini, Farhad Tabatabai GhomsheTactile detection of a tumor and an artery in a tissue and distinction of a healthy artery from a stenotic artery, using finite element method, are presented. Four 2D models of tissue have been created: tissue itself, tissue including a tumor (TIT), tissue including a healthy artery (TIHA), and tissue including a stenotic artery (TISA). After solving four models with … …American Journal of Applied Sciences, Vol. 5, Issue 2 · 28 Feb 2008 · 7,596 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Some Stability Results for Fixed Point Iteration ProcedureM. O. Olatinwo, O. O. Owojori, C. O. ImoruIn this study, we establish that both the Mann and Ishikawa iteration processes are T-stable for the mappings T satisfying a more general contractive definition than that of Osilike[1] . The results obtained generalize some of the recent results of Osilike[1] which are themselves generalizations and extensions of some of the results of Harder and Hicks[2] and Rhoades[3,4]. …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,040 accessesView PDFCite