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86 results for “Asymptotic”
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Research ArticleOpen accessEvery word in the titleAsymptotic 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 · 7,476 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe 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 · 7,049 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleUnicycle Robot’s Navigation Control with Obstacle Avoidance and Asymptotic StabilityJuan Andrés Roteta Lannes, Andres Gabriel GarciaThis study builds upon the groundbreaking research of Asymptotic stability of unicycle-like robots with the Bessel’s controller continuing the exploration of asymptotic stability for non-holonomic robots through kinematic modeling that allows for obstacle avoidance. utilizing the previously derived Bessel's controller, the study defines an avoidance region containing obstacles, presenting an algorithm that relies solely on the distance to the obstacle. … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 1 · 28 Feb 2024 · 5,037 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Cartesian Regulator for an Ideal Position-Servo Actuated Didactic Mechatronic Device: Asymptotic Stability AnalysisGabriela Zepeda, Rafael Kelly, Carmen MonroyPosition-servo actuators are by themselves feedback mechatronics systems modeled by Ordinary Differential Equations (ODE). From a technological point of view, position-servos are based upon an electrical motor, a shaft angular position sensor, and a dominant Proportional controller. These position servo actuators are at the core of several real-life practical and didactic mechatronics and robotics systems. The contribution of this study … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 3 · 16 Sep 2022 · 5,821 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAsymptotic Stability of Unicycle-Like Robots: The Bessel’s ControllerAndrés G. GarcíaAsymptotic stability of unicycle-like robots proved to be involved due to Brockett's condition. By using a smooth, time-invariant controller constructed out of Bessel’s functions, in this paper unicycle-like robots are uniformly-exponentially stabilized to the origin. The pure feedback controller obtained provides closed-form trajectories with the possibility of a simple and feasible (hardware) non-linear observer construction from posture angle measurements solely. … …Journal of Mechatronics and Robotics, Vol. 4, Issue 1 · 17 Jan 2020 · 7,304 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAsymptotic Giant Branch Stars Migration from the Central of the Milky Way Galaxy to our Sun’s Birthplace and its Relation with Silicon Carbide GrainsAhmad Hashem AbdelhadiSilicon carbide grains found in meteorites are peculiar in their age and isotopic ratios; they formed before the Sun was born and their isotopic signature indicates that they come from a different galactic region. This study aims to seek a possible paradigm for such richness and peculiarity through Monte Carlo simulation of scattering of Asymptotic Giant Branch (AGB) stars off … …Space Science International, Vol. 1, Issue 1 · 20 Jun 2013 · 7,053 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Probability and the Asymptotic Distribution Functions of Increasing Ordered Statistical DataA. A. El-Faheem, Eman A. MahmoudProblem statement: We considered two types of sequences of ordered statistical discrete data i1, i2…in, 1≤i1≤ i2≤… in≤n and ij = 1,2,…,n, j = 1,2,…,n. The first type is the order statistics of a sample of size n taken from the uniform discrete distribution on the set S = {1,2,…,n}, n ∈ N+. The other type is the increasing ordered … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,290 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAsymptotic Distribution of Coefficients of Skewness and KurtosisNarges AbbasiProblem statement: In literature, a classic method which has been used to recognize the distribution so far is the measurement of its skewedness and kurtosis. However, there remains a question: how would these measurements work for skewed normal distribution when the size of the sample is large? Approach: This research aimed to determine the asymptotic distribution of skewedness and kurtosis … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 9,582 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAsymptotic Confidence Limits for a Repairable System with Standbys Subject to Switching FailuresJau-Chuan Ke, Ssu-Lang LeeThis paper studies system performance measures and asymptotic confidence limits for the mean time to failure, steady-state availability, steady-state failure frequency of a repairable system which two primary units, two standby units, and one repair facility when switching to standbys may fail. …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 6,922 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBayesian and Maximum Likelihood Solutions: An Asymptotic Comparison Related to Cost FunctionMechakra Hadda, Chadli Asssia, Tiah NaceurProblem statement: Wald showed that the minimax solution is the Bayesian solution with respect to the law a priori the worst. We try to establish a similar result by comparing the Bayesian solution and the solution of maximum likelihood when the parameter space is a compact metrizable group. Approach: we take as a priori law Haar measure because we reduce … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 4 Jul 2012 · 6,915 accessesView PDFCite