Search Results - (rationalization OR (functionities OR (functionized OR (functionality OR function))))

Preserving Positivity And Monotonicity Of Real Data Using Bézier-Ball Function And Radial Basis Function by Ahmad, Afida

“…In this thesis, a rational cubic Bézier-Ball function which refers to a rational cubic Bézier function expressed in terms of Ball control points and weights are used to preserve positivity and monotonicity of real data sets. …”
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Analytical solutions of characteristic singular integral equations in the class of rational functions by Yaghobifar, Mohammad, Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K.

“…It is found that for this kinds of rational function, the solutions are irrational.…”
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Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions by Jaafar, Wan Nurhadani Wan

“…A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial compared to rational Bézier functions. …”
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Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions by Wan Jaafar, Wan Nurhadani

“…A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial compared to rational Bezier functions. …”
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Rational generalised ball functions for convex interpolating curves by Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah

“…A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. …”
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RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES by ABDUL KARIM, SAMSUL ARIFFIN

“…A curve interpolation scheme based on the generalized Ball basis functions which has been developed by the authors uses piecewise rational quintic generalized Ball functions to visualize scientific data. …”
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Rational cubic Ball functions for positivity preserving by Karim, S.A.A.

“…A curve interpolation scheme is developed using rational cubic Ball functions with cubic numerator and cubic denominator. …”
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Circuit design for single-order system with fractional power using singularity function approach / Fauziah Abd Yakin by Abd Yakin, Fauziah

“…This project presents the analysis and synthesis of single-order system with fractional power m. The singularity function method and the partial-fraction expansion for a rational function to approximate the function by a series of negative real pole-zero pairs was used. …”
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Axial stiffness matrix of non-uniform Bernoulli-Euler bar element by Sulaeman, Erwin

“…A Bernoulli-Euler differential equation that relates the load and deformation angle derived first. The general rational function resulting from the integration of the Bernoulli-Euler is transformed to a simpler rational function using a minimum denominator rational function procedure.…”
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Necessery and Sufficient Condition for Extention of Convolution Semigroup by Mohd Jaffar, Mai Zurwatul Ahlam

“…Let and be real - valued continuous functions and ( ptf,(qtg,p and q be cons-tants, where denotes a set of positive rational numbers. …”
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On differential rational invariants of patches with respect to motion groups by Bekbaev, Ural

“…For any motion group represented by a subgroup H of the Affine group it is shown that systems of generators of a field of H-invariant (not differential) rational functions can be used to construct systems of generators for the differential field of H-invariant differential rational functions of parameterized surface (patch). 2. …”
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Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function by Abdul Karim, S.A., Nguyen, V.T.

“…A curve interpolation scheme with C1 continuity is developed by using rational quartic Said-Ball function with quartic numerator and linear denominator. …”
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Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function by Abdul Karim, S.A., Nguyen, V.T.

“…A curve interpolation scheme with C1 continuity is developed by using rational quartic Said-Ball function with quartic numerator and linear denominator. …”
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Curve and surface modeling with constrained b-spline wavelets. by Awang, Mohd Nain

“…The main purpose of this paper is the visualization of convex surface data to present a smooth. visually pleasing and interactive convexity preserving surfaces. The rational cubic function with three free parameters is extended to rational bi-cubic partially blended function to preserve the shape of convex surface data. …”
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Visualization of constrained data by rational cubic ball function /Wan Zafira Ezza Wan Zakaria and Jamaludin Md Ali by Wan Zakaria, Wan Zafira, Md Ali, Jamaludin

“…Three shape parameters are introduced in order to control the shape of the interpolation. The rational cubic ball function is constructed according to the shape of the data that are constraint between two lines using appropriate conditions on each of the shape parameters. …”
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A New class of rational multistep methods for solving initial value problem by Teh, Yuan Ying, Yaacob, Nazeeruddin

“…There exists initial value problem whose solution possesses singularity.Studies show that conventional numerical method such as multistep method fail woefully near the singular point when solving problem whose solution possesses singularity.This is because a multistep method is based on the local representation of polynomial of the theoretical solution of an initial value problem.Therefore, a natural step would appear to be the replacement of the polynomial function for a multistep method, by a rational function due to its smooth behaviour in the neighbourhood of singularity.In this paper, we have developed a new class of two step numerical methods that are based on rational functions in solving general initial value problem and problem whose solution possesses singularity.These new methods are called rational multistep methods.The developments of these rational multistep methods, as well as the local truncation error and stability analysis for each rational multistep method are presented.We have found out that only the second order, third order and fourth order rational multistep methods are A-stable.Numerical experiments have showed that all newly developed rational multistep methods presented in this paper are suitable to solve general initial value problem, stiff problem and problem whose solution possesses singularity.…”
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Circuit design for single-order system with fractional power using singularity function approach / Fauziah Abd Yakin by Abd Yakin, Fauziah

“…This project presents the analysis and synthesis of single-order system with fractional power m. The singularity function method and the partial-fraction expansion for a rational function to approximate the function by a series of negative real pole-zero pairs was used. …”
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Minimum denominator of rational function by Sulaeman, Erwin

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Rational Cubic Ball Functions for Positivity Preserving. Far East Journal of Mathematical Sciences (FJMS). Vol. 82, No. 2, pp. 193-207, 2013. by ABDUL KARIM, SAMSUL ARIFFIN

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Rational methods for solving first order ordinary differential equation by Fairuz, A'in Nazifa

“…The formulation of the methods are based on two distinct rational functions that are proposed in thesis, where the first class of methods are derived based on rational function with denominator of degree one, as the degree of the numerator increases. …”
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