2 articles for “equivalence class”

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Research ArticleOpen accessPhrase in the titleFlows 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 PDF Cite

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 PDF Cite