18 results for “Metric Space”

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Research ArticleOpen accessIn the abstractKRETSCHMANN INVARIANT AND RELATIONS BETWEEN SPACETIME SINGULARITIES ENTROPY AND INFORMATIONIoannis Gkigkitzis, Ioannis Haranas, Omiros RagosCurvature invariants are scalar quantities constructed from tensors that represent curvature. One of the most basic polynomial curvature invariants in general relativity is the Kretschmann scalar. This study is an investigation of this curvature invariant and the connection of geometry to entropy and information of different metrics and black holes. The scalar gives the curvature of the spacetime as a … …Physics International, Vol. 5, Issue 1 · 28 Mar 2014 · 11,910 accessesView PDF Cite

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 PDF Cite

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 PDF Cite

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 PDF Cite

Research ArticleOpen accessIn the abstractIntegral Dissipative Set-valued MapsM. O. Ogundiran, T. A. AdemolaIntegral dissipativity arises over a period of time. This dissipativity for multivalued maps has some intrinsic properties together with their convexification. The space of Aumann integrable maps endowed with Hausdorff topology having this dissipativity condition is a complete metric space. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 6,917 accessesView PDF Cite

Research ArticleOpen accessIn the abstractMaximally Distant Codes Allocation Using Chemical Reaction Optimization and Ant Colony Optimization AlgorithmsTaisir Eldos, Waleed Nazih, Aws KananError correcting codes, also known as error controlling codes, are set of codes with redundancy that allows detecting errors. This is quite useful in transmitting data over a noisy channel or when retrieving data from a storage with possible physical defects. The idea is to use a set of code words that are maximally distant from each other, hence reducing … …Journal of Computer Science, Vol. 11, Issue 8 · 5 Nov 2015 · 7,000 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordImage Compression using Space Adaptive Lifting SchemeRamu Satyabama, AnnaduraiProblem statement: Digital images play an important role both in daily life applications as well as in areas of research and technology. Due to the increasing traffic caused by multimedia information and digitized form of representation of images; image compression has become a necessity. Approach: Wavelet transform has demonstrated excellent image compression performance. New algorithms based on Lifting style implementation … …Journal of Computer Science, Vol. 7, Issue 11 · 29 Aug 2011 · 7,143 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordMeasures 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 PDF Cite