Research ArticleOpen accessIn the abstractEfficient 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
EditorialOpen accessIn the abstractFuzzy Bernstein-Stancu Operator of Rough I-Core of Triple SequencesAyhan Esi, Nagarajan Subramanian, M. Kemal OzdemirWe are going to present and investigate some fundamental characteristics of fuzzy Bernstein-Stancu polynomials of rough I-convergent of triple sequence spaces and at the same time examine the set of all fuzzy Bernstein Stancu polynomials of rough I-limits of a triple sequence spaces and also relation between analyticness and fuzzy Bernstein Stancu polynomials of rough I-core of a triple sequence … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 17 Dec 2019 · 6,555 accessesView PDFCite
Research ArticleOpen accessIn the abstractQuadrotor Obstacle Avoidance Based on Integral BacksteppingLianchuan Zhang, Young Baik Kim, Kil To ChongThis paper addressed obstacle avoidance problem of a quadrotor in outdoor environment. Path planning was finished by employing classical Dijkstra algorithm and the controller of the quadrotor adopted integral backstepping method. In order to get a smooth trajectory with time optimal and acceleration constraints properties, quantic polynomials were utilized to generate trajectory file. The scheme is particularly practical and useful … …American Journal of Applied Sciences, Vol. 13, Issue 7 · 27 Jul 2016 · 6,981 accessesView PDFCite
Research ArticleOpen accessIn the abstractInterpolating Operators for MultiapproximationEman Samir BhayaProblem statement: There are no simple definitions of operators for best multiapproximation and best one sided multiapproximation which work for any measurable function in Lp for, p>0. This study investigated operators that are good for best multiapproximation and best one sided multiapproximation. Approach: We first introduced some direct results related to the approximation problem of continuous functions by Hermit-Fejer interpolation … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,654 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralization of (0, 4) Lacunary Interpolation by Quantic SplineJwamer Karwan Hama Faraj, Ridha G. KaremProblem statement: Spline functions are the best tool of polynomials used as the basic means of approximation theory in nearly all areas of numerical analysis. Also in the problem of interpolation by g-spline construction of spline, existences, uniqueness and error bounds needed. Approach: In this study, we generalized (0,4) lacunary interpolation by quanta spline function. Results: The results obtained, the … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,310 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Overview of Modified Shanks’ Conjecture and Comments on its ValidityN. Gangatharan, T.C. ChuahThis study reports the validity of the modified Shanks’ conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. A theoretical procedure proposed based on the Lagrange multiplier method of mathematical optimization. The results indicate that the modified Shanks’ conjecture reported by Jury was valid for special classes of 2-D polynomials. …American Journal of Applied Sciences, Vol. 4, Issue 4 · 30 Apr 2007 · 7,035 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Comparative Study of RSA Based Digital Signature AlgorithmsRamzi A. Haraty, A. N. El-Kassar, Bilal ShibaroA digital signature is a mechanism designed to allow secure communication through an insecure medium and can be traced in many applications where privacy is required. A digital signature is an electronic signature that can be used to authenticate the identity of the sender of a message or the signer of a document and possibly to ensure that the original … …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,432 accessesView PDFCite
Research ArticleOpen accessIn the abstractHemisphere Sizing from Linear Intercept MeasurementWilfried GilleThe stereological problem of unfolding the hemisphere radius distribution from the chord length distribution is analyzed. Let a stationary isotropic process of hemispheres be given. The hemispheres have random diameters and are isotropically uniformly randomly orientated in space. A straight line probe yields a process of intercepts. The inverse problem of re-obtaining the size distribution of the hemispheres in terms … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,146 accessesView PDFCite