25 results for “Mathematical Problem Solving”

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Research ArticleOpen accessAll words, across the recordNew Collisions to Improve Pollard's Rho Method of Solving the Discrete Logarithm Problem on Elliptic CurvesAmmar Ali NeamahIt is true that different approaches have been utilised to accelerate the computation of discrete logarithm problem on elliptic curves with Pollard's Rho method. However, trapping in cycles fruitless will be obtained by using the random walks with Pollard's Rho. An efficient alternative approach that is based on new collisions which are reliant on the values ai, bi to solve … …Journal of Computer Science, Vol. 11, Issue 9 · 16 Dec 2015 · 7,349 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordVedas and the Development of Arithmetic and AlgebraGurudeo Anand TularamProblem statement: Algebra developed in three stages: rhetorical or prose algebra, syncopated or abbreviated algebra and symbolic algebra-known as “school algebra”. School algebra developed rather early in India and the literature now suggests that the first civilization to develop symbolic algebra was the Vedic Indians. Approach: Philosophical ideas of the time influenced the development of the decimal system and arithmetic … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 8,268 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordSolving One-Dimensional Cutting Stock Problem with Discrete Demands and Capacitated Planning ObjectiveSirirat Wongprakornkul, Peerayuth CharnsethikulProblem statement: One-dimensional cutting stock problem with discrete demands and capacitated planning objective is an NP hard problem. Approach: The mathematical model with column-generation technique by a branch-and-bound procedure and the heuristic based on the first fit decreasing method are proposed. Then, both approaches were compared and some characteristics were investigated such as upper-bound value, percentage above lower-bound value, computation … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,952 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordOn Sixtic Lacunary Spline Solutions of Second Order Initial Value ProblemJwamer Karwan Hama FarajProblem statement: The lacunary problem, which we had investigated in this study, consider in finding the spline function of degree six S(x) of deficiency four, interpolating data given on the function value and third, forth order in the interval [0,1]. Also, on the extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,766 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordThe Existence, Uniqueness and Error Bounds of Approximation Splines Interpolation for Solving Second-Order Initial Value ProblemsAbbas Y. Al Bayati, Rostam K. Saeed, Faraidun K. Hama-SalhProblem statement: The lacunary interpolation problem, which we had investigated in this study, consisted in finding the six degree spline S(x) of deficiency four, interpolating data given on the function value and third and fifth order in the interval [0,1]. Also, an extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve the … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 8,176 accessesView PDF Cite