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9 results for “recurrence relation”
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Research ArticleOpen accessIn the keywordsNumerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau MethodO.A. Taiwo, O.M. OgunlaranProblem Statement: Many boundary value problems that arise in real life situations defy analytical solution; hence numerical techniques are desirable to find the solution of such equations. New numerical methods which are comparatively better than the existing ones in terms of efficiency, accuracy, stability, convergence and computational cost are always needed. Approach: In this study, we developed and applied three … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,985 accessesView PDFCite
Research ArticleOpen accessIn the abstractAsymptotic Analysis and Convergence of Recursively Defined SequencesPaul BrackenThe asymptotic properties and limiting behavior of several distinct real sequences are determined. These sequences are defined by means of recurrence relations. Divergent and convergent sequences are discussed. It is shown methods can be found to treat both kinds producing definite knowledge with regard to the sequence. In the case of divergence, a related convergent subsequence can often be found … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 1 Oct 2026 · 538 accessesView PDFCite
Research ArticleOpen accessIn the abstractCharacterizations for the Power Inverse Gaussian and Generalized Inverse Gaussian Distributions Based on Conditional MomentsAbdullah Yahia Al-HossainIn this study, we characterize the power inverse Gaussian and generalized inverse Gaussian distributions based on recurrence relations for conditional moments in terms of hazard rate functions. Relations for conditional moments of the largest order statistic (upper record value) given the second largest order statistic (upper record value) are derived from these recurrence relations. Characterizations of the inverse Gaussian, reciprocal … …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 23 Nov 2015 · 6,865 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputation of Private Key Based on Divide-By-Prime for Luc CryptosystemsZulkarnain Md Ali, Nawara Makhzoum Alhassan MakhzoumProblem statement: One of the public key cryptosystem is Luc cryptosystems. This system used Lucas Function for encryption and decryption process. Lucas Function is a special form of second-order linear recurrence relation. An encyption process is used to encrypt an original message to ciphertext by using public key. A decryption process is the process to decrypt a ciphertext into original … …Journal of Computer Science, Vol. 8, Issue 4 · 1 Feb 2012 · 7,064 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstablishing an Adaptive Production-Procurement System with Markov Chain Approach Associated with 3C TheoryChun-Ta LinProblem statement: In this study, we classify the imperfect situations that the unreliability of production and the defective products might be incurred from production process into eight independently recurrent categories. Approach: With the property of recurrence of Markov chain, the limiting probability of each imperfect production category can be calculated through the transition probabilities matrix generated from these imperfect production … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,352 accessesView PDFCite
Research ArticleOpen accessIn the abstractReduce Computation Steps Can Increase the Efficiency of Computation AlgorithmZulkarnain Md. AliProblem statement: Lucas function is a special form of second-order linear recurrence relation. It is used in LUC cryptosystems. The performance of LUC cryptosystem depends on the size of public key, messages and two relatively primes. The increasing of size of these parameters will increase the computation time need to perform the LUC Cryptosystem computation. The efficiency means the quality … …Journal of Computer Science, Vol. 6, Issue 10 · 24 Aug 2010 · 7,015 accessesView PDFCite
Research ArticleOpen accessIn the abstractCancer Chemotherapy and Immune RegulationJohn Barrett, Katarina Le BlancProblem statement: Chemotherapeutic drugs have been used to treat malignancy for over 50 years, but the potential of cytotoxic agents to suppress immunity and interfere with Immunosurveillance (IS) of cancer has been largely ignored. Assuming that the immune control of the cancer had a priori already failed, the effect was not considered to have a major impact on treatment outcome. … …American Journal of Immunology, Vol. 5, Issue 1 · 31 Mar 2009 · 40,663 accessesView PDFCite