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32 results for “linear algebra”
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Research ArticleOpen accessIn the abstractFree Vibration Analysis of Rectangular Cantilever Plates Using the Hyperbolic-Trigonometric SeriesMikhail V. Sukhoterin, Sergey O. Baryshnikov, Dmitry A. AksenovThe purpose of this paper is to develop a numerical analytical method for an accurate solution to the problem on frequencies and mode shapes of a rectangular cantilever plate. The problem is reduced to an infinite system of linear algebraic equations relative to ratios of trigonometric series, which contains vibration frequency as a parameter. The core of the method is … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 23 Dec 2016 · 7,283 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,714 accessesView PDFCite
Research ArticleOpen accessIn the abstractPitch Control of a Rocket with a Novel LQG/LTR Control AlgorithmAliyu Bhar Kisabo, Aliyu Funmilayo Adebimpe, Sholiyi Olusegun SamuelThis paper presents the design, simulation and analysis of a novel LQG and LQG/LTR control algorithm for the pitch angle of a sounding rocket. These improved LQG and LQG/LTR control algorithms stem from the fact that a Riccati Differential Equation (RDE) rather than the popular Algebraic Riccati Equation (ARE) is used to obtaining the Kalman gain in the observer of … …Journal of Aircraft and Spacecraft Technology, Vol. 3, Issue 1 · 12 Mar 2019 · 7,366 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,990 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegrated Electricity Planning Comprise Renewable Energy and Feed-In TariffHo Wai Shin, Haslenda HashimProblem statement: Mitigation of global warming and energy crisis has called upon the need of an efficient tool for electricity planning. This study thus presents an electricity planning tool that incorporates RE with Feed in-Tariff (FiT) for various sources of Renewable Energy (RE) to minimize grid-connected electricity generation cost as well as to satisfy nominal electricity demand and CO2 emission … …American Journal of Engineering and Applied Sciences, Vol. 5, Issue 1 · 28 Feb 2012 · 8,695 accessesView PDFCite
Research ArticleOpen accessIn the abstractAgricultural Resources Allocation and Field Crops CompetitionElgilany Ahmed, Jamalludin Sulaiman, Saidatulakmal MohdProblem statement: Field crops are considered as essential cash and food crops produced in River Nile State (RNS) of North Sudan include cereal, food-legumes, vegetables and fodders beside the perennial crops. They are the main source of household income and regarded as a major part of the daily diet for the Sudanese. In other words they play an important role … …American Journal of Agricultural and Biological Sciences, Vol. 6, Issue 3 · 4 Aug 2011 · 7,979 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe New Variable-Length Key Symmetric CryptosystemDavood Rezaei Pour, Mohamad Rushdan Md Said, Kamel Ariffin Mohd Atan, Mohamed OthmanProblem statement: In this study, we proposed a new 64-bit block cipher that accepted a variable-length key up to 512 bits, which was suitable for implementation in a variety of environments. Approach: The cipher algorithm was a 16-round Feistel network with a bijective function f and was made up of two key-dependent 16×16 S-boxes, bitwise rotations, and a carefully designed … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,213 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Partial Linearization of Byte Substitution Transformation of Rijndael-The AESY. Talwar, C. E.V. Madhavan, Navin RajpalRijndael-The AES[1-3] is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look at its internals; the byte substitution transformation function is the only non-linear function in Rijndael - The AES. This transformation comprises of two steps operating on each byte. Here … …Journal of Computer Science, Vol. 2, Issue 1 · 31 Jan 2006 · 6,861 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA STUDY OF FIRST YEAR TERTIARY STUDENTS’ MATHEMATICAL KNOWLEDGE- CONCEPTUAL AND PROCEDURAL KNOWLEDGE, LOGICAL THINKING AND CREATIVITYGurudeo Anand Tularam, Kees HulsmanThis study focuses on students in first year environmental science degree programs where traditionally mathematical emphasis has been much less than the strict science or math majors. The importance now placed in applied mathematics means that students need to gain more conceptual and quantitative knowledge in not only the environmental degree programs but also in most if not all non-mathematical … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 1 Aug 2013 · 7,255 accessesView PDFCite