Research ArticleOpen accessIn the abstractGRAPH OF FINITE SEQUENCE OF FUZZY TOPOGRAPHIC TOPOLOGICAL MAPPING OF ORDER TWOMohamed Sayed, Tahir AhmadFuzzy Topographic Topological Mapping (FTTM) was built to solve the neuromagnetic inverse problem to determine the location of epileptic foci in epilepsy disorder patient. The model which consists of topological and fuzzy structures is composed into three mathematical algorithms. FTTM consists of four topological spaces and connected by three homeomorphisms. FTTM version 1 is also homeomorphic to FTTM version 2. … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 7,455 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 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 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 accessIn the abstractMeasures on the Quotient Spaces of the IntegersNorris Sookoo, Peter ChamiSK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures. A lattice of SK-partitions was introduced and … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,009 accessesView PDFCite
Research ArticleOpen accessIn the abstractSome P-RAM Algorithms for Sparse Linear SystemsRakesh Kumar Katare, N.S. ChaudhariPRAM algorithms for Symmetric Gaussian elimination is presented. We showed actual testing operations that will be performed during Symmetric Gaussian elimination, which caused symbolic factorization to occur for sparse linear systems. The array pattern of processing elements (PE) in row major order for the specialized sparse matrix in formulated. We showed that the access function in2+jn+k contains topological properties. We … …Journal of Computer Science, Vol. 3, Issue 12 · 31 Dec 2007 · 6,971 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