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120 articles for “polynomial”
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Research ArticleOpen accessIn the keywordsHalf-bounded Numerical Solution of Singular Integral Equations with Cauchy KernelM. Abdulkawi, Z. K. Eshkuvatov, N.M.A. Nik LongProblem statement: In this study, a numerical solution for singular integral equations of the first kind with Cauchy kernel over the finite segment [-1,1] is presented. The numerical solution is bounded at x =1 and unbounded at x = -1. Approach: The numerical solution is derived by approximating the unknown density function using the weighted Chebyshev polynomials of the fourth … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,269 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTwo New Formulas for Generating Infinite Sets of Integer Numbers as a Sum of Two and Three Signed Cubic NumbersRand Alfaris, Hailiza KamarulhailiProblem statement: Two new families are introduced for generating infinite sets of integers by the summation of two and three signed cubic numbers. Approach: These two families have reduced the number of representation of finite sets of integer as a sum of cubic numbers from four cubes to two and three signed cubes. Results: It is also shown that not … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,069 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Numerical Computation of Rational Structures and Asymptotic Standard Deviations in Causal Time Series DataConcepción González-Concepción, María Candelaria Gil-Fariña, Celina Pestano-GabinoProblem statement: The specific properties of data series are of primary importance in several sciences. In the field of time series analysis, several researchers have considered the rational approximation theory, particularly the Padé Approximation and Orthogonal Polynomials. Approach: In this study, an approach for the statistical significance of two numerical methods, the r-s and q-d algorithm, was proposed which made … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,049 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the P VS NP Question: A New Proof of InequalityAngelo Raffaele MeoThe analysis discussed in this study is based on a well-known NP-complete problem which is called “satisfiability problem or SAT”. From SAT a new NP-complete problem derives, which is described by a Boolean function of the number n of the clauses of SAT called “core function”. In this study a new proof is presented according which the number of gates … …Journal of Computer Science, Vol. 17, Issue 5 · 27 May 2021 · 9,442 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Machine Learning Approach to Predict Movie Revenue Based on Pre-Released Movie MetadataQuazi Ishtiaque Mahmud, Nuren Zabin Shuchi, Fazle Mohammed Tawsif et al.With the growth of the movie industry, it is becoming increasingly important for the stakeholders to get an idea about the probable profit made by the movie in the box office. In fact, among movies produced between 2000 and 2010 in the United States, only 36% had box office revenues higher than their production budgets, which further highlights the importance … …Journal of Computer Science, Vol. 16, Issue 6 · 10 Jun 2020 · 11,852 accessesView PDFCite
Research ArticleOpen accessIn the keywordsWavelet Statistical Texture Features with Orthogonal Operators Tumour Classification in Magnetic Resonance Imaging BrainR. Meenakshi, P. AnandhakumarTumors medically also called neoplasms are an abnormal mass of tissue resulting from uncontrolled proliferation or division of cells occurring in the human body. If such growth is located in the brain then it is called as brain tumor. Identification of such tumors is a major challenge in the field of medical science. Early identification of tumors prove to be … …American Journal of Applied Sciences, Vol. 10, Issue 10 · 5 Sep 2013 · 6,600 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Efficient Certificate-Free Key Distribution Protocol for Secure Group Communication in Grid EnvironmentMandadi Venkatesulu, Kamatchi KartheebanProblem statement: In grid environment, group communication is an important mechanism to realize large-scale information resource sharing. However providing security for group communication in grid environment is very difficult because the group is dynamic in nature. Scalable group re-keying is one of the important issues in secure group communication. These group keys should be updated whenever a member joins/leaves the … …Journal of Computer Science, Vol. 7, Issue 6 · 14 Jun 2011 · 7,125 accessesView PDFCite
Research ArticleOpen accessIn the keywordsComputation of Irregular Boundary Area by Lacunary Interpolation TechniqueJamal Muhamad AmenProblem statement: Rising up land value and a rapid extension in large town in the world, this in addition to appearance a new technique in applied mathematics especially in interpolation felid during last period encourage engineers and surveyor to search for a new mathematical formula for calculating area of a land. Approach: In this study, (0, 2) lacunary interpolation technique … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 26 Mar 2011 · 8,355 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau MethodO.A. Taiwo, O.M. OgunlaranProblem Statement: Many boundary value problems that arise in real life situations defy analytical solution; hence numerical techniques are desirable to find the solution of such equations. New numerical methods which are comparatively better than the existing ones in terms of efficiency, accuracy, stability, convergence and computational cost are always needed. Approach: In this study, we developed and applied three … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,985 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the General Solution of First-Kind Hypersingular Integral EquationsSuzan J. Obaiys, Z. Abbas, N. M.A. Nik Long et al.A new algorithm is presented to provide a general solution for a first type Hyper singular Integral Equation (HSIE). The singular integral has been converted into a regular form by cancelling the singularity and then transforming it into a system of algebraic equation based orthogonal poly- nomials. We applied the convergence method presented by (Obaiys, 2013) to conform the numerical … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 28 Jan 2016 · 8,699 accessesView PDFCite