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99 articles for “C*-Algebra”
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Research ArticleOpen accessIn the abstractNew Family of Logarithmic Lifetime DistributionsSaid Hofan AlkarniIn this study a new lifetime class with decreasing failure rate is introduced by compounding truncated logarithmic distribution with any proper continuous lifetime distribution. The properties of the proposed class are discussed, including a formal proof of itsprobability density function, distribution function and explicit algebraic formulae for its reliability and failure rate functions. A simple EM-type algorithm for iteratively computing … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 20 Dec 2012 · 7,158 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,994 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment of a New Elliptic Curve Cryptosystem with Factoring ProblemE. S. Ismail, M. S. HijaziProblem statement: The security of elliptic curve cryptosystems are based on elliptic curve discrete logarithm problem (ECDLP). However, if an attacker finds a solution to ECDLP, the elliptic curve-based systems will no longer be secure. Approach: To improve this, we develop a new elliptic curve cryptosystem using one of the old/novel problem in computational number theory; factoring problem (FAC). Specifically, … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 2 Aug 2012 · 6,792 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Successive Overrelaxation MethodI. K. YoussefProblem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the current component can be used simultaneously in the evaluation in addition to the use the most recent calculated components as in the SOR method. Approach: Using the hidden explicit characterization of … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 22 Feb 2012 · 12,809 accessesView PDFCite
Research ArticleOpen accessIn the abstractFeature Extraction and Classification of Blood Cells Using Artificial Neural NetworkMagudeeswaran Veluchamy, Karthikeyan Perumal, Thirumurugan PonuchamyProblem statement: One method of evaluating the clinical status is counting of cell types based on features that it contains. There is a need for a rapid, reproducible method, superior to human inspection and for the classification of cells. For solving these problems, quantitative digital-image analysis is applied and a novel method for classifications of affected blood cells from normal … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 18 Feb 2012 · 8,159 accessesView PDFCite
Research ArticleOpen accessIn the abstractSecure Hybrid Mode-Based CryptosystemE. S. Ismail, S. BaharudinProblem statement: A cryptosystem provides two parties; a sender and a receiver to communicate interactively via an insecure channel in which, the sender is able to send any confidential message, document or data in a disguised form to the intended receiver. Upon receiving the disguised message, the receiver converts it to the intelligible message using his secret key. The security … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 12 Jan 2012 · 7,007 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Cryptosystem Using Multiple Cryptographic AssumptionsE. S. Ismail, M. S. HijaziProblem statement: A cryptosystem is a way for a sender and a receiver to communicate digitally by which the sender can send receiver any confidential or private message by first encrypting it using the receiver’s public key. Upon receiving the encrypted message, the receiver can confirm the originality of the message’s contents using his own secret key. Up to now, … …Journal of Computer Science, Vol. 7, Issue 12 · 15 Oct 2011 · 7,064 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalytical and Experimental Studies on the Thermal Efficiency of the Double-Pass Solar Air Collector with Finned AbsorberAhmad Fudholi, Kamaruzzaman Sopian, Mohd Hafidz Ruslan et al.Problem statement: The design of suitable air collectors is one of the most important factors controlling the economics of the solar drying. Air type collectors have two inherent disadvantages: Low thermal capacity of air and low absorber to air heat transfer coefficient. Different modifications are suggested and applied to improve the heat transfer coefficient between the absorber plate and air. … …American Journal of Applied Sciences, Vol. 8, Issue 7 · 24 Jun 2011 · 7,417 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Application of Univariate Statistics to Hotelling's T2Dr. A. PolymenisProblem statement: Hotelling's T2 statistic has been well documented in the existing literature and exact as well as asymptotic results have been obtained. In the present article, we focus on an important particular case of T2 and we note that, there is no clear way to show, how univariate results, used in the theory of Student’s t statistic, could be … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,668 accessesView PDFCite
Research ArticleOpen accessIn the abstractThermal Efficiency of Double Pass Solar Collector with Longitudinal Fins AbsorbersAhmad Fudholi, Kamaruzzaman Sopian, Mohd Hafidz Ruslan et al.Problem statement: One of the most important components of a solar energy system is the solar collector. The performances of double-pass solar collector with longitudinal fins absorbers are analyzed. Approach: The study involves a theoretical study to investigate the effect of mass flow rate, number and height of fins on efficiency, which involves steady-state energy balance equations on the longitudinal … …American Journal of Applied Sciences, Vol. 8, Issue 3 · 25 Mar 2011 · 8,075 accessesView PDFCite