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21 articles for “Mathematical Formulation”
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Research ArticleOpen accessPhrase in the titleEstablishment 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 accessPhrase in the titleMathematical Formulation and Numerical Implementation of a Finite Element with Anisotropic GeometryDavide TuminoA plane quadrangular element with geometric anisotropy has been developed to perform 2D Finite Elements Analyses in cases where high stress concentrations, varying with very different laws along two orthogonal directions, are present. The element has been implemented into a finite element code. To validate the element behavior, analyses in the adhesive of a single lap joint and in a … …Journal of Aircraft and Spacecraft Technology, Vol. 4, Issue 1 · 13 Mar 2020 · 7,302 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment and Validation of a 2D Finite Element Model for Air Pollution Dispersion (SUITE-2D)Youssef Ismail HafezThis paper presents the development and validation of SUITE-2D (Solving Unsteady Incompressible Transport Equation in Two Dimensions), a two-dimensional finite element model for solving the advection-diffusion transport equation with decay and source terms. The model provides an efficient and accurate approach for simulating pollutant dispersion in environmental systems. The finite element formulation uses the standard Galerkin method, with numerical integration … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 22 Dec 2025 · 3,127 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Generalized Algorithm for the Gravitational Potential of a Homogeneous CuboidThunendran Periyandy, Michael BevisThis paper presents a mathematical formulation for computing the gravitational potential of a cuboid (or right rectangular prism) with uniform density. The resulting analytical expressions are valid inside, on and outside the cuboid. The methodology systematically organizes logarithmic and arctangent terms using a hexagonal graph approach, promoting numerical stability and correct sign allocation. We provide a structured pseudocode algorithm to … …Physics International, Vol. 16, Issue 1 · 28 Nov 2025 · 3,171 accessesView PDFCite
Research ArticleOpen accessIn the abstractEscalating SVM-Efficiency by Sequential QP LP and Slack Variable AnalysisAmit Kumar Kundu, Rezaul Karim, Ali Ahmed AveSupport Vector Machine (SVM) is a highly attractive algorithm among many machine learning models due to its generalization power and classification performance based on sound mathematical formulation being convex that offers global minimum. However, despite being sparse, its high classification cost from kernel execution with Support Vectors (SVs) reduces the user's interest when there are hard computational constraints in the … …Journal of Computer Science, Vol. 19, Issue 10 · 6 Sep 2023 · 5,913 accessesView PDFCite
Research ArticleOpen accessIn the abstractBuilding Probability Functions by Persian CurveAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranConstruction of a probability function for a given random data is the main theme of several branches of human knowledge, where it is an active area of study. In spite of great developments, the solution needs extensive effort and the results contain epistemic uncertainty. In this study, making use of the logical reasoning and concise mathematical logics, a method called … …International Journal of Structural Glass and Advanced Materials Research, Vol. 4, Issue 1 · 31 Oct 2020 · 8,154 accessesView PDFCite
Research ArticleOpen accessIn the abstractVisual Tracking using Invariant Feature DescriptorLee-Yeng Ong, Siong-Hoe Lau, Voon-Chet KooThe process of identifying the state of an object in a video sequence is referred as visual tracking. It is mainly achieved by using the appearance information from a reference image to recognize the similar characteristics from the other images. Since a digital image is built-up with rows and columns of pixels that are represented with finite set of digital … …American Journal of Applied Sciences, Vol. 14, Issue 9 · 21 Sep 2017 · 7,715 accessesView PDFCite
Research ArticleOpen accessIn the abstractDigital High-Pass Filters with Milder High-Pass Effect on Digital ImagesIssa A. Al-ShakhrahImage filtering consists of modifying the original image by logically "reimaging" it with a mathematical imaging device in which spatial response can be controlled by the user. Image filtering is performed by a mathematical operation called convolution, which is simply the successive replacement of each point in the original image by a new value produced by a weighted combination of … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 3 · 11 Jun 2015 · 7,950 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnt Colony Optimization for Load Management Based on Load Shifting in the Textile IndustryChaimongkon Chokpanyasuwan, Tika Bunnag, Ratthasak PrommasThe textile industry is a complicated manufacturing industry because it is a fragmented and heterogeneous sector dominated by Small and Medium Enterprises (SMEs). There are various energy-efficiency opportunities that exist in every textile plant. However, even cost-effective options often are not implemented in textile plants mostly because of limited information on how to implement energy-efficiency measures. This paper presents the … …American Journal of Applied Sciences, Vol. 12, Issue 2 · 9 Apr 2015 · 7,116 accessesView PDFCite
Research ArticleOpen accessIn the abstractSIMULATION OF THE PROCESS OF FLOW SEPARATION AT THE ENTRANCE OF SQUARE ASPIRATING PORTOlga A. Averkova, Ilya V. Kryukov, Kirill V. Plotnikov et al.We consider the flow at the inlet to the suction square hole with sharp edges, which is located in an infinite space. The purpose of this study is to construct a mathematical model of flow separation at the entrance to square suction canal with sharp edges, located in infinite space, by using square vortex frameworks. As a part of ideology … …American Journal of Environmental Sciences, Vol. 10, Issue 5 · 12 Nov 2014 · 6,681 accessesView PDFCite