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87 results for “Invariant”
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Research ArticleOpen accessIn the abstractModification of the Ornstein Uhlenbeck Process to Incorporate the Influence of Speculation on Volatility in Financial MarketsHendrietha Joan Hendricks, Jacob Ongala, Dismas NtirampebaFinancial market participants often speculate on how markets would behave in the light of certain information at hand. This speculation contributes to volatility within the financial market and consequently, it makes the market unstable. The Ornstein Uhlenbeck (OU) model has intensively been used in modelling volatility, however, the contribution of speculation on volatility has not been studied in the OU … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 18 Jan 2022 · 7,172 accessesView PDFCite
Research ArticleOpen accessIn the abstractHarmonic Mean Projection Shape Transform for Leaf ClassificationSophia Jamila Zahra, Riza Sulaiman, Seyed M.M. Kahaki, Anton Satria PrabuwonoShape feature extraction has emerged as an important part of computer vision and image processing applications. Identification of shape objects in huge data based on shape similarity still remains a challenging problem due to the similarity of the shapes and existing of classes with similar contour information. This paper presents to investigate the shape analysis for plant leaf classification by … …Journal of Computer Science, Vol. 16, Issue 9 · 13 Sep 2020 · 6,854 accessesView PDFCite
Research ArticleOpen accessIn the abstractExplosion of the Science Modification of Newtonian Dynamics Via Mach’s Inertia Principle and Generalization in Gravitational Quantum Bound Systems and Finite Range of the Gravity-Carriers, Consistent Merely On the Bosons and the FermionsMohsen LutephyNewtonian gravity is modified here via Mach's inertia principle (inertia fully governed by universe) and it is generalized to gravitationally quantum bound systems, resulting scale invariant fully relational dynamics (mere ordering upon actual objects), answering to rotation curves and velocity dispersions of the galaxies and clusters (large scale quantum bound systems), successful in all dimensions and scales from particle to … …Physics International, Vol. 11, Issue 1 · 10 Aug 2020 · 7,782 accessesView PDFCite
Research ArticleOpen accessIn the abstractBifurcation and Controlling Chaos in a Discrete-Time Biological SystemGuo FengThe dynamics of a discrete-time food chain model with strong pressure on preys is investigated. The types of equilibria of the system are analyzed using stability theory and bifurcation theory. The route to chaos via Neimark-Sacker bifurcation followed by period-doubling bifurcations of invariant curves is found for some parameter values through numerical simulation. Moreover, the chaos is controlled on the … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 7 Jul 2020 · 6,681 accessesView PDFCite
Research ArticleOpen accessIn the abstractAsymptotic 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
Review ArticleOpen accessIn the abstractExplaining the Generalized Cross-Validation on Linear ModelsLucas Monteiro Chaves, Laerte Dias de Carvalho, Carlos José dos Reis, Devanil Jaques de SouzaCross-Validation is a model validation method widely used by the scientific community. The Generalized Cross-Validation (GCV) is an invariant version of the usual Cross-Validation method. This generalization was obtained using the non usual theory of circulant complex matrices. In this work we intend to give a clear and complete exposition concerning the linear algebra assumptions required by the theory. The … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 25 Oct 2019 · 10,450 accessesView PDFCite
Research ArticleOpen accessIn the abstractImproved Steering and Adaptive Cruise Control for Autonomous Vehicles Using Model Predictive ControlSai Charan Dekkata, Sun YiThe research on autonomous vehicles was started nearly a century ago but the major parts of significant advance have been done over the past few decades. In this paper, designing and simulating of a Model Predictive Controller (MPC) and comparing it to a classical feedback controller, which was designed and implemented on a car for Lane Keeping Assist (LKA) and … …Journal of Mechatronics and Robotics, Vol. 3, Issue 1 · 26 Jun 2019 · 8,019 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Test on the Multivariate Behrens–Fisher Problem in High–Dimensional Data by Block Covariance EstimationParanut Sukcharoen, Samruam ChongcharoenIn this paper, we proposed a new testing statistic for testing the equality of mean vectors from two multivariate normal populations when the covariance matrices are unknown and unequal in high–dimensional data. A new test is proposed based on the idea of keeping more information from the sample covariance matrices as much as possible. A proposed test is invariant under … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 2 Apr 2019 · 7,369 accessesView PDFCite
Research ArticleOpen accessIn the abstractSpace Time Covariance of Canonical Quantization of Gravity: A (Formal) General Result and the (Rigorous) Explicit Case of 2+1 Quantum CosmologyT. Christodoulakis, G. O. PapadopoulosyA general classical theorem is presented according to which all invariant relations among the space time metric scalars, when turned into functions on the Phase Space of full Pure Gravity (using the Canonical Equations of motion), be-come weakly vanishing functions of the Quadratic and Linear Constraints. The implication of this result is that (formal) Dirac consistency of the Quantum Operator … …Space Science International, Vol. 1, Issue 2 · 27 Jan 2014 · 8,462 accessesView PDFCite