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Journal of Mathematical and Fundamental Sciences Vol. 44 Issue 1 2012

Vol. 44 No. 1 (2012)

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Articles Published in This Issue

Explore peer-reviewed research articles published in this issue.

researchpp. 1–12

Solution of a Linear Pursuit-Evasion Differential Game with Closed and Convex Terminal Set

A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of The Pursuer tries to bring the state of the system to the terminal set and the Evader prevents bringing of the state to the terminal set where control resource of the Pursuer is greater than that of Evader. We obtain a formula for the optimal pursuit time and construct optimal strategies of the players in explicit form.

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researchpp. 19–34

Land Degradation Model Based on Vegetation and Erosion Aspects Using Remote Sensing Data

The study of land degradation in various geographic conditions in the world using remote sensing is still become a concern amongst researchers because it has been proven as one of the most effective ways. In Indonesia, East Kalimantan province is one of the experiencing land area degradation due to intensive exploitation of natural resouces since 1970. The degradation model proposed in this study is modeled using a combination of ASTER and Landsat ETM+ imagery, both taken on February 27, 2001. The model composed of both two aspects: erosion aspect and vegetation aspect. Vegetation aspect is a…

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researchpp. 35–50

Synthesis and Theoretical Study of Zinc(II) and Nickel(II)-Complexes of 5-Methoxyisatin 3-[N-(4-chlorophenyl)thiosemicarbazone]

Zinc(II) and nickel(II)-complexes of 5-methoxyisatin 3-[N-(4-chlorophenyl) thiosemicarbazone] (H2MICP) were synthesized and characterized by infrared, ultraviolet and 1H-NMR spectroscopies as well as elemental analysis. Model of H2MICP and its zinc(II) and nickel(II)-complexes were optimized with B3LYP method using 6-31G(d,p), 6-311G(d,p), 6-311++G(d,p), 6-311++G(2d,2p) basis sets. The calculated 1H-NMR, UV and IR spectra data were compared with experimental results. In addition to the Natural Bond Orbital (NBO) analysis of H2MICP and its Zinc(II) and Nickel(II) complexes, Fukui functions of…

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researchpp. 51–66

In vitro and In Silico Studies on Curcumin and Its Analogues as Dual Inhibitors for cyclooxygenase-1 (COX-1) and cyclooxygenase-2 (COX-2)

Curcumin has been widely reported as an anti-inflammatory agent isolated from the plant Curcuma longa L. (turmeric). This anti-inflammatory activity was associated with the ability of this compound to inhibit the activity of both cyclooxygenase-1 (COX-1) and cyclooxygenase-2 (COX-2) in arachidonic acid metabolism. Dual COX-1 and COX-2 inhibitors are preferred to be employed in the therapy of chronic inflammatory diseases compared to selective inhibitors, since it was reported that the use of selective inhibitors led to severe adverse side effect. In the present study, in vitro and in silico…

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researchpp. 67–78

Satellite Monitoring of Small-scale Farming Systems in Subang, Indonesia

Rice fields in Java, Indonesia have been in tremendous threat due to land policy weaknesses. In order to ensure food supply, satellite-based monitoring scheme has been chosen to accommodate quick data acquisition for agriculture planning. Nonetheless, detailed rice field map is lacking and it should be taken in consideration. WorldView-2 has the highest ground resolution to date, which is suitable to construct new rice distribution map in Indonesia. This paper shows that panchromatic data of the sensor have capability in identification of fragmented rice fields and clearly showed galengans.…

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researchpp. 79–92

Seismogram Analysis of C052198B Earthquake, Minahasa at Observatory Stations in Australia

The earth structure between the Minahasa earthquake, coded as C052198B, and observatory stations in Australia has been investigated through analysis in the time domain of three-component seismograms. The synthetic seismograms are constructed from an earth model, the CMT solution of the earthquake and station locations. The calculation is based on the GEMINI method, and the corner frequency is set at 20 mHz. Using deconvolutions of the station instruments responses, the measured and synthetic seismogram can be compared with the same units. The seismogram comparison indicates discre-pancies…

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