Research ArticleOpen accessIn the abstractEdge Detection in Gray Level Images based on the Shannon EntropyBaljit Singh, Amar P. SinghMost of the classical mathematical methods for edge detection based on the derivative of the pixels of the original image are Gradient operators, Laplacian and Laplacian of Gaussian operators. Gradient based edge detection methods, such as Roberts, Sobel and Prewitts, have used two 2-D linear filters to process vertical edges and horizontal edges separately to approximate first-order derivative of pixel … …Journal of Computer Science, Vol. 4, Issue 3 · 31 Mar 2008 · 7,882 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Discretized Algorithm for Optimal Problems Constrained by Differential Equation with Real CoefficientsO. OlotuA discretized scheme, Discretized Continuous Algorithm (DCA), for solving constrained quadratic optimal control problems was developed to ease the computational cumbersomeness inherent in some existing algorithms, particularly, the Function Space A lgorithm (FSA) by replacing the integral by a series of summation. In order to accomplish this numerical scheme, we resort to a finite approximation of it by discretizing its … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,851 accessesView PDFCite
Research ArticleOpen accessIn the abstractInvestigations on the Grasping Contact Analysis of Biological Tissues With Applications in Minimally Invasive SurgeryAli Bonakdar, Javad Dargahi, Rama BhatAnalytical and finite element methods are employed to determine the contact pressure on the surface of a tissue being grasped by an endoscopic grasper, in Minimally Invasive Surgery (MIS). Normally, an endoscopic grasper is corrugated (teeth-like) in order to grasp slippery tissues. It is highly important to avoid damage to the tissues while grasping and manipulation during endoscopic surgery. Therefore, … …American Journal of Applied Sciences, Vol. 4, Issue 12 · 31 Dec 2007 · 6,905 accessesView PDFCite
Research ArticleOpen accessIn the abstractFault Detection and Isolation in Dynamic Systems using Statistical Local Approach and Hybrid Least Squares AlgorithmBelkacem Athamena, Zina Houhamdi, Mohammed MuhairatA fault detection and isolation (FDI) scheme for dynamic system proposed. This study deals with the design of discrete-time linear system using delta operator approach and the hybrid least squares (HLS) algorithm. A third residual generation based on statistical local approach and the derivative of the normalized residual on a small temporal window investigated. This new technique meets the desired … …American Journal of Applied Sciences, Vol. 4, Issue 12 · 31 Dec 2007 · 7,430 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDFCite
Research ArticleOpen accessIn the abstractImpact of Bulldozer's Engine Load Factor on Fuel Consumption, CO2 Emission and CostVladislav Kecojevic, Dragan KomljenovicProblem statement: Bulldozers consume a large amount of diesel fuel and consequently produce a significant quantity of CO2. Environmental and economic cost issues related to fuel consumption and CO2 emission represent a substantial challenge to the mining industry. Approach: Impact of engine load conditions on fuel consumption and the subsequent CO2 emission and cost was analyzed for Caterpillar bulldozers. Results … …American Journal of Environmental Sciences, Vol. 7, Issue 2 · 26 May 2011 · 9,136 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimization of Test Scheduling and Test Access for ITC-02 SOC Benchmark CircuitsP. Sakthivel, R. Delhi Babu, P. NarayanasamyProblem statement: This study presented the optimized test scheduling and test access for ITC-02 SOC benchmark circuits using genetic algorithm. In the scheduling procedure of SOC, scheduling problem was formulated as a sequence of two problems and solved. Approach: Test access mechanism width was partitioned into two and three partitions and the applications of test vectors and test vector assignments … …Journal of Computer Science, Vol. 5, Issue 4 · 30 Apr 2009 · 7,315 accessesView PDFCite
Research ArticleOpen accessIn the abstract“OPTIMIZATION OF MULTI-COMMODITIES CONSUMER SUPPLY CHAINS FOR-PART I-MODELING”Zeinab Haji Abolhasani, Romeo M. Marian, Lee LoungThis study and its companions (Part II, Part III) will concentrate on optimizing a class of supply chain problems known as Multi-Commodities Consumer Supply Chain (MCCSC) problem. MCCSC problem belongs to Production-Distribution (P-D) planning category. It aims to determine facilities location, consumers’ allocation and facilities configuration to minimize total Cost (CT) of the entire network. These facilities can be manufacturer … …Journal of Computer Science, Vol. 9, Issue 12 · 26 Nov 2013 · 7,840 accessesView PDFCite
Research ArticleOpen accessIn the abstractKorovkin and Weierstrass Approximation via Lacunary Statistical SequencesRichard F. Patterson, Ekrem SavaşIn this study we shall extended Korovkin and Weierstrass approximation theorem to lacunary statistical convergent sequences. In addition, to these approximation theorems, we established also introduced lacunary statistically convergent of degree β and establish a corresponding Korovkin type theorem namely the following: If the sequence of positive linear operators Pn: CM [a, b]→ B[a, b] satisfies the conditions: * ||Pn(1, … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDFCite