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8 articles for “infinitesimal”
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Research ArticleOpen accessIn the keywordsEstablishment of Readily Mathematical Formulation for the Evaluation of Slope Stability in Earth-Fill DamsSalah Saleh, Majda Ibobakr Almhdi AmerThe assessment of slope stability has been considered to be one of the most common issues to deal with by geotechnical engineers. This is due to the amount of destruction that can be brought up by the slope failure of soil masses to roads, railways, and earth dams, for example. Therefore, the stability of soil mass slopes must be carefully … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 13 Nov 2023 · 5,181 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSTATIONARY CONNECTED CURVES IN HILBERT SPACESRaed Hatamleh, Ahmad Qazza, Hatim MigdadiIn this article the structure of non-stationary curves which are stationary connected in Hilbert space is studied using triangular models of non-self-adjoint operator. The concept of evolutionary representability plays here an important role. It is proved that if one of two curves in Hilbert space is evolutionary representable and the curves are stationary connected, then another curve is evolutionary representable … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 May 2014 · 6,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsStudy of Families of Curves in the Euclidian PlanBelaib Lekhmissi, Bouarroudj Nadra, Hocine El HabibNon-standard analysis techniques are more considered in approaching complex mathematical domains. By using some concepts of non-standard analysis methods such as regionalization method, we deal with a family of curves in an Euclidian plan. The solutions of the algebraic equations representing these curves in a plan have an hyperbolic forms. …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,834 accessesView PDFCite
Research NotesOpen accessIn the abstractTurbulent-Fluid-Based Simulation of Dynamic Liquefaction Using Large Deformation Analysis of Solid PhaseRohollah TaslimianTo accurately simulate the cyclic liquefaction phenomenon, it is necessary to establish a well-defined coupling between the solid particles and the high-velocity percolating pore fluid. For this purpose, the existing literature extensively examines large deformation liquefaction analyses for the solid phase, regardless of the fluid flow nonlinearity. On the other hand, the transient fluid pressure gradient governed by the turbulence … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 2 · 22 Feb 2024 · 6,015 accessesView PDFCite
Review ArticleOpen accessIn the abstractAbout Homeopathy or ≪Similia Similibus Curentur≫Raffaella Aversa, Relly Victoria V. Petrescu, Antonio Apicella, Florian Ion T. PetrescuHomeopathy or homoeopathy (from the Greek όμοιος/homoios, "similar" and πάθος/pathos, "suffering" or "disease") is a science created by Samuel Hahnemann in 1796. The homeopathic practice rests on three principles: The similarity, the individualization of cases and the infinitesimal. The use of the infinitesimal was proposed by Hahnemann in the early nineteenth century with the publication of "Organon der Heilkunst" (Organon … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 16 Dec 2016 · 11,553 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficient Co-Rotational 3-Node Shell ElementGil Rama, Dragan Marinkovic, Manfred ZehnGeometric nonlinear FE-analysis of thin-walled shell structures, using a co-rotational formulation and the Cell Smoothed Discrete Shear Gap triangular shell element (CS-DSG3) is presented in this study. The CS-DSG3 element formulation uses the Mindlin-Reissner kinematic hypothesis to include transverse shear effects. In order to avoid locking effects Discrete Shear Gap (DSG) method is applied. In addition, cell based smoothing technique … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 17 Jun 2016 · 8,295 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,553 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a Class of Nonhomogeneous Fields in Hilbert SpaceRaéd HatamlehTwo-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, when infinitesimal operators are unitary, in particular, nonunitary index, have been introduced. Necessary and sufficient conditions for nonunitary index finiteness have been obtained. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,682 accessesView PDFCite