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20 results for “Topological Approach”
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Research ArticleOpen accessIn the abstractFlows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy RelationTahir Ahmad, Tan Lit KenProblem statement: Flows of continuous-time dynamical systems with the same number of equilibrium points and trajectories, and which has no periodic orbit form an equivalence class under the topological conjugacy relation. Approach: Arbitrarily, two trajectories resulting from two distinct flows of this type of dynamical systems were written as a set of points (orbit). A homeomorphism which maps between these … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,254 accessesView PDFCite
Research ArticleOpen accessIn the abstractTopological Decoupled Group Key Management for Cellular NetworksJorge Estudillo Ramirez, Saul Eduardo Pomares Hernandez, Gustavo Rodriguez Gomez, Jose Roberto Perez CruzProblem statement: The continuous increasing capacity of the cellular networks motivates the development of multiparty applications, such as interactive mobile TV and mobile social networks. For these environments, security group services are required. A practical way to provide security services is by using cryptographic methods. However, the key management needed for these methods, which considers a dynamic group membership, introduces … …Journal of Computer Science, Vol. 7, Issue 3 · 9 Mar 2011 · 6,866 accessesView PDFCite
Research ArticleOpen accessIn the abstractTopological Conjugacy Between Seizure and Flat ElectroencephalographyTahir Ahmad, Tan Lit KenProblem statement: Seizure and Flat EEG which are modeled as two distinct dynamical systems share the same dynamics in the topological viewpoint. Approach: Motions of seizure and Flat EEG of the dynamical systems were written as set points. A function that maps between these two sets is then built. By using topological conjugacy, they are shown to share the same … …American Journal of Applied Sciences, Vol. 7, Issue 11 · 8 Nov 2010 · 6,760 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralized Finite Sequence of Fuzzy Topographic Topological MappingTahir Ahmad, Siti Suhana Jamian, Jamalludin TalibProblem statement: Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent sources, respectively. FTTM 1 and FTTM 2 were homeomorphic and this homeomorphism will generate … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,917 accessesView PDFCite
Research ArticleOpen accessIn the abstractObject Identity, Apparent Motion, Transformation GeometryFelice L. Bedford, Birgitta E. ManssonProblem statement: A classic question in cognition was addressed on how two glimpses separated in time are determined to refer either to the same object or to two different objects, without which coherent perception of the world is not possible. Approach: A general solution was offered in which observers exploit an entire family of geometries. It was argued that a … …Current Research in Psychology, Vol. 1, Issue 1 · 30 Jun 2010 · 9,618 accessesView PDFCite
Research ArticleOpen accessIn the abstractVision Based Reconstruction Multi-Clouds of Scale Invariant Feature Transform Features for Indoor NavigationAbbas M. Ali, Md Jan NordinProblem statement: Navigation for visually impaired people needs to exploit more approaches for solving problems it has, especially in image based methods navigation. Approach: This study introduces a new approach of an electronic cane for navigation through the environment. By forming multi clouds of SIFT features for the scene objects in the environment using some considerations. Results: The system gives … …Journal of Computer Science, Vol. 5, Issue 12 · 31 Dec 2009 · 7,220 accessesView PDFCite
Research ArticleOpen accessIn the abstractIndoor Navigation and Localization for Visually impaired people Using Weighted Topological MapMd Jan Nordin, Abbas M. AliProblem Statement: Image base methods are a new approach for solving problems of navigations for visually impaired people. Approach: The study introduced a new approach of an electronic cane for blind people using the environment represented as a weighted topological graph instead, each node contains images taken at some poses in the work space, instead of building a metric (3D) … …Journal of Computer Science, Vol. 5, Issue 11 · 30 Nov 2009 · 7,420 accessesView PDFCite
Research ArticleOpen accessIn the abstractTopologies Induced by Relations with ApplicationsA. S. SalamaTopological structures induced by relations represents the process of extracting interesting decision rules from data. The attributes reduction and the calculation of core are the essentials to extract the decision rules. Finding the reducts, core and decision rules topologically is a new mathematical tool for discovering attribute dependencies in information systems. Problem statement: These mathematical tools employ some concepts from … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 7,212 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordStructural Optimization for Materially Informed Design to Robotic Production ProcessesH. Bier, S. MostafaviHyperbody’s materially informed Design-to-Robotic-Production (D2RP) processes for additive and subtractive manufacturing aim to achieve performative porosity in architecture at various scales. An extended series of D2RP experiments aiming to produce prototypes at 1:1 scale wherein design materiality has been approached from both digital and physical perspectives were recently implemented. At digital materiality level, a customized computational design framework for compression … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 4 · 11 Sep 2015 · 9,097 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordBayesian 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