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Mathematical and Computational Applications, Volume 22, Issue 3

September 2017 - 3 articles

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Article

3,353 Views

8 Pages

A Novel Method of Offset Approximation along the Normal Direction with High Precision

Hongyan Zhao and
Lian Zhou

Math. Comput. Appl.2017, 22(3), 39;https://doi.org/10.3390/mca22030039

4 September 2017

A new algorithm is proposed for polynomial or rational approximation of the planar offset curve. The best rational Chebyshev approximation could be regarded as a kind of geometric approximation along the fixed direction. Based on this idea, we develo...

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Article

9 Citations

3,750 Views

10 Pages

ICA and ANN Modeling for Photocatalytic Removal of Pollution in Wastewater

Sina Razvarz and
Raheleh Jafari

Math. Comput. Appl.2017, 22(3), 38;https://doi.org/10.3390/mca22030038

11 August 2017

This paper discusses the elimination of Colour Index Acid Yellow 23 (C.I. AY23) using the ultraviolet (UV)/Ag-TiO2 process. To anticipate the photocatalytic elimination of AY23 with the existence of Ag-TiO2 nanoparticles processed under desired circu...

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Review

3 Citations

3,515 Views

10 Pages

Analytical Solution to Normal Forms of Hamiltonian Systems

Ali Allahem

Math. Comput. Appl.2017, 22(3), 37;https://doi.org/10.3390/mca22030037

27 July 2017

The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Hamiltonian canonically to an easy system. It is under symplectic conditions that the Hamiltonian is preserved under a specific transformation—the so-ca...

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