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89 articles for “Quadratic”
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Research ArticleOpen accessEvery word in the titleImportance of Quadratic Forms in Mathematics EducationGurudeo Anand TularamQuadratic forms and equations serve as foundational elements in mathematics, playing a crucial role in a myriad of scientific disciplines, including physics, chemistry, economics, and social sciences. This paper explores the significance of quadratic concepts, demonstrating their applications in modelling real-world phenomena and enhancing analytical thinking. Through a comprehensive review of literature and practical examples, the author highlights how understanding … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 17 Oct 2025 · 4,064 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSparse Partial Optimal Transport via Quadratic RegularizationKhang Tran, Khoa Nguyen, Anh Nguyen et al.Partial Optimal Transport (POT) has recently emerged as a central tool in various Machine Learning (ML) applications. It lifts the stringent assumption of the conventional Optimal Transport (OT) that input measures are of equal masses, which is often not guaranteed in real-world datasets, and thus offers greater flexibility by permitting transport between unbalanced input measures. Nevertheless, existing major solvers for … …Journal of Computer Science, Vol. 21, Issue 7 · 17 Jul 2025 · 3,905 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEfficient Decoding Algorithm for Binary Quadratic Residue Codes Using Reduced Permutation SetsHamza Boualame, Mostafa Belkasmi, Idriss ChanaThe Quadratic Residue (QR) codes have a rich mathematic structure. Unfortunately, their Algebraic Decoding (AD) is not generalizable for all QR codes. In this study, an efficient hard decoding algorithm is proposed to generalize the decoding of the binary systematic Quadratic Residue (QR) codes. The proposed decoder corrects t erroneous bits or less, in the received word, based on a … …Journal of Computer Science, Vol. 19, Issue 4 · 3 Apr 2023 · 6,015 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Bivariate Distribution with Generalized Quadratic Hazard Rate MarginalsAbdelfattah MustafaRecently, Sarhan (2009) introduced a new distribution named generalized quadratic hazard rate distribution. In this study, we define a bivariate Generalized Quadratic Hazard Rate Distribution (BGQHRD). The joint cumulative distribution function and joint survival function are derived in compact forms. Several properties of BGQFRD have been discussed. The conditional probability density function, rth moments and joint and marginal moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 3 Nov 2016 · 6,749 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBispectral Analysis of Scalp Electroencephalograms: Quadratic Phasecoupling Phenomenon in Detecting Brain TumorV. Salai Selvam, S. ShenbagadeviSince the power spectral analysis of a non-Gaussian process generated by a nonlinear mechanism e.g., EEG, does not provide much information on the underlying nonlinear dynamics due to the lack of phase information, the higher-order statistics such as the bispectra are used to better understand the underlying nonlinear dynamics e.g., the quadratic phase coupling phenomena. The quadratic phase couplings have … …American Journal of Applied Sciences, Vol. 10, Issue 3 · 27 Mar 2013 · 6,537 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleQuadratic Approximation for Singular IntegralsMostefa NadirIn this study we present a new approach based on a quadratic approximation for singular integrals of Cauchy type, by using a small technical we arrive to eliminate completely the singularity of this integral. Noting that, this approximation is destined to solve numerically all singular integral equations with Cauchy kernel type on an oriented smooth contour. …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 4 Jul 2012 · 6,911 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSynthesis of a Robust Multiobserver for the Estimation of Unknown Inputs Using the Piecewise Quadratic FunctionsElyes Maherzi, Mongi Besbes, Sami Zemmel, Radhi MhiriProblem statement: The estimation of states and the unknown inputs of a nonlinear system described by a multimodel are done by a multiobserver. The stabilization of the multiobserver calls upon uses both quadratic and no quadratic functions of Lyapunov. Although the stabilization using the quadratic approach is interesting from the point of view implementation, the step showed its limits for … …American Journal of Applied Sciences, Vol. 7, Issue 9 · 30 Sep 2010 · 7,390 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApproximate Solutions of a Higher Order MHD Flow of a Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/Absorption which Resulted from a Quadratic ReactionO. K. KorikoHigher order MHD flow of a uniformity stretched vertical permeable surface in the presence of heat generation/absorption which resulted from a quadratic reaction was studied. The resulting coupled nonlinear partial differential equations is solved by asymptotic expansion. It was discovered that the maximum value of velocity occurs in the body of the fluid close to the surface not at the … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,445 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleQuadratic Convergence Ratio of Constrained Optimal Control ProblemsO. OlotuProblem statement: Earlier Researchers developed algorithms for solving quadratic control problems, but did not address the quadratic convergence ratio profile. Approach: Hence, the objective of this work is using our developed scheme, Discretized Continuous Algorithm (DCA), to examine both convergence profile and quadratic ratio profile demonstrating the effectiveness and efficiency of the scheme. Methodologically, we obtained generalized unconstrained formulation of … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,372 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBenders' Decomposition Based Heuristics for Large-Scale Dynamic Quadratic Assignment ProblemsSirirat Muenvanichakul, Peerayuth CharnsethikulProblem statement: Dynamic Quadratic Assignment Problem (DQAP) is NP hard problem. Benders decomposition based heuristics method is applied to the equivalent mixed-integer linear programming problem of the original DQAP. Approach: Approximate Benders Decomposition (ABD) generates the ensemble of a subset of feasible layout for Approximate Dynamic Programming (ADP) to determine the sub-optimal optimal solution. A Trust-Region Constraint (TRC) for the … …Journal of Computer Science, Vol. 5, Issue 1 · 31 Jan 2009 · 7,681 accessesView PDFCite