Research ArticleOpen accessIn the keywordsA Note on the Classification of Compact Homogeneous Locally Conformal Kähler ManifoldsDaniel GuanIn this study, we apply a result of H. C. Wang and Hano-Kobayashi on the classification of compact complex homogeneous manifolds with a compact reductive Lie group to give some more homogeneous space involved proofs of recent classification of compact complex homogeneous locally conformal Kähler manifolds. In particular, we prove that the semisimple part S of the Lie group action … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 2 Aug 2017 · 9,357 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Analysis of Network ODE Systems in Metric Spaces: An ApproachSusmit BagchiTraditionally, the concepts of graph theory are applied to design stationary computer networks and, to analyze dynamics of social networks. However, the majority of non-stationary network models are formulated by using Ordinary Differential Equations (ODE) with varying orders having homogeneous or non-homogeneous forms. However, the analysis of continuous solution spaces of ODE and understanding of the interplay of spaces in … …Journal of Computer Science, Vol. 13, Issue 1 · 1 Mar 2017 · 7,891 accessesView PDFCite
Research ArticleOpen accessIn the abstractESTIMATIONS OF TOTAL MASS AND ENERGY OF THE OBSERVABLE UNIVERSEDimitar ValevThe recent astronomical observations indicate that the expanding universe is homogeneous, isotropic and asymptotically flat. The Euclidean geometry of the universe enables to determine the total gravitational and kinetic energy of the universe by Newtonian gravity in a flat space. By means of dimensional analysis, we have found the mass of the observable universe close to the Hoyle-Carvalho formula M∼c3/(GH). … …Physics International, Vol. 5, Issue 1 · 21 Mar 2014 · 17,696 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Gravity Field of a CubeJames Michael Chappell, Mark John Chappell, Azhar Iqbal, Derek AbbottWe calculate the Newtonian gravitational potential and field of a cubic, homogeneous asteroid and we apply it to the orbit of possible satellites. Large astronomical objects such as stars or planets, naturally tend to form spherical shapes due to the dominance of the gravitational forces, but as a thought experiment, we consider the properties of a planet in the form … …Physics International, Vol. 3, Issue 2 · 27 Mar 2013 · 15,328 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Tabu Search Method for Finding Minimal Multi-Homogeneous Bézout NumberHassan M.S. Bawazir, Ali Abd RahmanProblem statement: A homotopy method has proven to be reliable for computing all of the isolated solutions of a multivariate polynomial system. The multi-homogeneous Bézout number of a polynomial system is the number of paths that one has to trace in order to compute all of its isolated solutions. Each partition of the variables corresponds to a multi-homogeneous Bézout number. … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,293 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNumerical Study of the Eulerian Correlations and Lagrangian Velocity in Stably Stratified Homogeneous TurbulenceAbdallah Jaouabi, Taieb LiliThis study is based on a linear analysis in spectral space. To express the correlation double speed using Lagrangian Dual Eulerian correlations, we use the Corrsin assumption and then we compute the components of the tensor of the square displacements means. We begin by rewriting the basic linear equations governing the evolution of double correlations spectra. Subsequently, we analyze the … …American Journal of Applied Sciences, Vol. 10, Issue 5 · 28 May 2013 · 6,492 accessesView PDFCite