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32 results for “asymptotic results”
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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 abstractA Coupled Mathematical Model for a Temperature Dependant Blood Perfusion in Heterogeneous Biological Tissues during Microwave HeatingE. A. Adebile, B. N. Akintewe, K. M. OwolabiProblem statement: The temperature variation in heterogeneous three layered biological tissues was investigated. Approach: The blood perfusion was considered to be temperature dependent. The heating modalities were taking to go on simultaneously in each of the regions on the one hand and also sequentially in another arrangement. The asymptotic series solution was modified for the three layers and the matching … …American Journal of Applied Sciences, Vol. 7, Issue 5 · 31 May 2010 · 6,580 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Extension of Yoshida, Imoto, Higuchi and Miyano ResultB. OnoghojobiProblem statement: Different approaches to deal with dynamic model when it is studentized are presented. Approach: In this respect, the recursive formula for calculating state space in the canonical form. Results: The asymptotic distribution of their test under the linear system for the gene network and a studentized-dynamic linear model with Markov denoising switching for estimating time-dependent gene network structure … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,802 accessesView PDFCite
Research ArticleOpen accessIn the abstractRanking of Simultaneous Equation Techniques to Small Sample Properties and Correlated Random DeviatesA. A. Adepoju, J. O. OlaomiProblem statement: All simultaneous equation estimation methods have some desirable asymptotic properties and these properties become effective in large samples. This study is relevant since samples available to researchers are mostly small in practice and are often plagued with the problem of mutual correlation between pairs of random deviates which is a violation of the assumption of mutual independence between … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,598 accessesView PDFCite
Research ArticleOpen accessIn the abstractPower Series Solution for a Two-step Reactive-diffusive Equation with Variable Pre-exponential FactorE.A. Adebile, O.K. Koriko, U.S. IdiongWe discussed in this research a power series method for solution of a two-step reactive-diffusive equation with variable pre-exponential factor. A transformation was used to fit in the geometry of the model to allow an asymptotic series expansion which is invoked in a two compartmental regions with respect to the spatial variable. Adequate matching conditions were used at the interface … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,855 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Case Study of Black-Box Testing for Embedded Software using Test Automation ToolChanghyun Baek, Joongsoon Jang, Gihyun Jung et al.This research shows a case study of the Black-Box testing for Temperature Controller (TC) which is one of the typical embedded systems. A test automation tool, TEST, was developed and some kinds of TCs were tested using the tool. We presented statistical analysis for the test results of the automated testing and defined the properties of the software bugs for … …Journal of Computer Science, Vol. 3, Issue 3 · 31 Mar 2007 · 8,596 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA Permutation Test for Comparing Two Correlated Receiver Operating Characteristic CurvesOkeh Uchechukwu Marius, Onyeagu SidneyThe area under the Receiver Operating Characteristic (ROC) curve (AUC) is a summary measure when comparing two ROC curves. However, this summary measure is less informative when two ROC curves cross and have the same AUCs. In order to detect differences between ROC curves and to be able to tackle the problem of exchangeability of the labels between two diagnostic … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 24 May 2020 · 8,132 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordAsymptotic Behavior of an Artificial Neural Network Defined on Multipartite Directed GraphN. C. Majee, A. B. RoyProblem statement: Artificial Neural Network (ANN) are simple models to mimic some essential features of the complex central nervous system. ANN models are realistic due to their inherent stochastic nature of neural computation and strong synchronicity. Different ANN models are associated with directed and signed graphs. The present study proceeded by relaxing certain simplifying assumptions in the ANN model. Approach: … …OnLine Journal of Biological Sciences, Vol. 10, Issue 1 · 30 Jun 2010 · 7,479 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThe Numerical Computation of Rational Structures and Asymptotic Standard Deviations in Causal Time Series DataConcepción González-Concepción, María Candelaria Gil-Fariña, Celina Pestano-GabinoProblem statement: The specific properties of data series are of primary importance in several sciences. In the field of time series analysis, several researchers have considered the rational approximation theory, particularly the Padé Approximation and Orthogonal Polynomials. Approach: In this study, an approach for the statistical significance of two numerical methods, the r-s and q-d algorithm, was proposed which made … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,054 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordStability of Non-Neutral and Neutral Dynamic Switched Systems Subject to Internal DelaysM. De la Sen, J. L. Malaina, A. Gallego, J. C. SotoThis study deals with the quadratic stability and linear state-feedback and output-feedback stabilization of switched delayed linear dynamic systems with, in general, a finite number of non commensurate constant internal point delays. The results are obtained based on Lyapunov’s stability analysis via appropriate Krasovsky-Lyapunov’s functionals and the related stability study is performed to obtain both delay independent and delay dependent … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 6,723 accessesView PDFCite