Research ArticleOpen accessIn the abstractFinding the Envelope and Efficient Frontier of Financial AssetsFarida Kachapova, Ilias KachapovProblem statement: One of the problems considered in financial mathematics is finding portfolios of given financial assets that minimize risk for targeted returns. The set of such portfolios is called the envelope of the assets. Traditionally this problem is solved as a calculus minimization problem involving partial derivatives and Lagrange multipliers. Approach: In this study we describe an invariant geometric … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 16 Jul 2012 · 9,279 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS DiseaseS. A.A. El-MaroufProblem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 24 Apr 2012 · 7,018 accessesView PDFCite
Research ArticleOpen accessIn the abstractExistence of a Total Order in Every SetAbdelmadjid BoudaoudProblem statement: The axiom of choice, guarantees that all set could be well-ordered, in particular linearly ordered. But the proof in this case was not effective, that was to say, non constructive. It was natural to ask if there was mathematics in which we could given a more constructive proof. Approach: We work in the Nelson’s IST which was an … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 16 Mar 2012 · 7,310 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputation of Irregular Boundary Area by Lacunary Interpolation TechniqueJamal Muhamad AmenProblem statement: Rising up land value and a rapid extension in large town in the world, this in addition to appearance a new technique in applied mathematics especially in interpolation felid during last period encourage engineers and surveyor to search for a new mathematical formula for calculating area of a land. Approach: In this study, (0, 2) lacunary interpolation technique … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 26 Mar 2011 · 8,355 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegration of Quantum Cryptography through Satellite Networks TransmissionSkander Aris, Abderraouf Messai, Malek Benslama et al.Problem statement: The security of the telecommunications satellite has become a crucial issue. The telecommunications can be set using the classical cryptography. But this so-called classical cryptography provides cryptographic security. This means that security is based on the difficulty of some mathematics problems. On the other hand, quantum cryptography provides security without conditions based on the law of quantum physics. … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,516 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,254 accessesView PDFCite
EditorialOpen accessIn the abstractSpecial Issue for the 6th International Conference on Applied Financial Economics, Samos, Greece, 2-4 July 2009Alexandros E. Milionis, Hayette GatfaouiThe idea behind this issue was to publish the full papers of selected works presented in the 6th International Applied Financial Economics (AFE) Conference, which took place at the premises of the Research and Training Institute of East Aegean (INEAG) in Samos Island, Greece, 2-4 July 2009. Despite their short history, the AFE Conferences, co-organized by INEAG, the Department of … …American Journal of Economics and Business Administration, Vol. 2, Issue 4 · 28 Nov 2010 · 11,092 accessesView PDFCite
Research ArticleOpen accessIn the abstractIndigenous Students and the Learning of EnglishShahrier Pawanchik, Anton Abdulbasah Kamil, Fatan Hamamah YahayaProblem statement: The problem of students’s proficiency in English in the Malaysian primary schools is still debatable. Approach: Unless the problem of students' proficiency is solved at the primary school level, it will fossilize and contribute toward students' anxiety in the language at the secondary and tertiary levels. Results: This research study looked into English needs of the indigenous or … …Journal of Social Sciences, Vol. 6, Issue 3 · 30 Sep 2010 · 8,077 accessesView PDFCite
Research ArticleOpen accessIn the abstractProof of Analytic Extension Theorem for Zeta Function Using Abel Transformation and Euler ProductMbaitiga ZacharieProblem statement: In the prime number the Riemann zeta function is unquestionable and undisputable one of the most important questions in mathematics whose many researchers are still trying to find answer to some unsolved problems such as Riemann Hypothesis. In this study we proposed a new method that proves the analytic extension theorem for zeta function. Approach: Abel transformation was … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,923 accessesView PDFCite