• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.13 no.2
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• pp.277-283
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• 1995

In the study, an accuracy of earthwork volume is evaluated according to different methods of the calculation with different criteria. The criteria applied to this study are a interpolation method, a grid intavals and the method of earthwork evaluation. A numerical test has performed on two different terrain models with four different methods of calculation in the earthwork volume and two different grid intervals. The end area method, prismoidal formular, Simpson's formular, and middle area method are applied to the calculation of the earthwork volume. As a result of this study, it is showed that the moving average method with the first order term gives the most accurate result in interpolation, and that also the prismoidal formular and Simpson's formular gives more accurate result than average and area method and middle area method in the calculation of earthwork volume.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.29 no.3A
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• pp.251-258
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• 2009

This paper deals with the strongest beams with the solid regular polygon cross-section, whose volumes are always held constant. The differential equation of the elastic deflection curve of such beam subjected to the concentrated and trapezoidal distributed loads are derived and solved by using the double integration method. The Simpson's formula was used to numerically integrate the differential equation. In the numerical examples, the clamped-clamped and clamped-hinged ends are considered as the end constraints and the linear, parabolic and sinusoidal tapers are considered as the shape function of cross sectional depth. As the numerical results, the configurations, i.e. section ratios, of the strongest beams are determined by reading the section ratios from the numerical data obtained in this study, under which static maximum behaviors become to be minimum.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.91-106
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• 2010

This is the study for various methods for getting the volume of frustum of pyramid. This study will first deal with how the formula of getting the volume of frustum of pyramid has been changed in the history of Mathematics. Secondly, based on the study of 'Prasolov' this study will deal with the calculation method for the volume of frustum of pyramid which was written in the 14th question of 'Moscow Papyrus' and search for the rules of solution for frustum of pyramid in the middle school textbooks. Finally, this study will consider various solutions for the volume of frustum of pyramid and its generalization.

• Korean journal of applied entomology
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• v.31 no.4
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• pp.345-359
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• 1992

To clarify the ants fauna in 10 islands, Chollanam-do, field survery was carried out from 1986 to 1991. As a result, 740 colonies were collected in 31 survey areas. These colonies were composed on 54 species belonging to the 30 genera of 4 subfamilies. Kyidris mutica Brown and Epitritus hexamerus Brown collected in Taehuksan Is. and Soan Is. respectively were recorded for the first time from Korea. The cluster analysis of faunal similarity using Nomura-Simpson's Coefficient(NSC) showed that the ant communities between the island were continuous in similarities.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.8 no.1
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• pp.41-50
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• 1990

The purpose of this thesis lies in proving the practicality of photogrammetry and in promoting photogrammetry in earthwork which plays a major role in civil engineering projects. Analysis of accuracy in the determination of ammount of earthework was done by applying interpolation methods in digital terrain model. As a result of analysis of the data acquisition method, in cross-section method produced acceptable accuracy from Simpson's three-eighths rule and prismoidal rule. In results DTM, we have obtained the fact that earthwork calculation accuracy was increased by applying two or more interpolation methods. Therefore, the method by digital terrain model using aerial photograph has proved to be more efficient.

• Korean journal of applied entomology
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• v.30 no.1
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• pp.65-79
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• 1991

In order to investigate the species composition and the colony density of ants in Mt. Namsan, Seoul, 39 quadrats were installed in 13 vegetations, 443 colonies of ants were collected from June, 1989 to October, 1990. As the result, 4 subfamilies, 23 genera, 28 species was confirmed. Among them, Cerapachys humicola $O_{GATA}$ is new to Korean fauna along with the subfamily Cerapachinae. For the species composition of ant communities in each vegetation, Robinia pseudoacacia vegetation(containing 3 subfamilies, 14 genera, 15 species-53.6% of all colonies collected in Mt. Namsan) and Quercus mongolica vegetation (3 subfamiles, 12 genera, 14 species -50%) showed relatively rich composition, while Platunus orientalis vegetation (3 subfamilies, 3 genera, 3 species) showed the simplest composition. Colony density was the highest in Prunus sargentii vegetation (7.875 colony /$m^2$) and the lowest in Platunus orientalis (1.000 colony/$m^2$). The relative density of Paratrechina flavipes proved to be the highest (RD = 0.422) and that of Cerapachys humicola $O_{GATA}$ Massor aciculatus was the lowest (RD = O. 002 respectively). In the analysis of the similarity of ant communities between each vegetation by S¢rensen's coefficient, Prunus sargentii was very similar to Sorbus alnifolia (0.745) and Pinus densiflora (0.736), but had the lowest similarity to Metasequoia glyptostoboides and Chamaecyparis pisifera vegetation (0.164 respectively). Dominance of ants in each vegetation analyzed by Simpson'formula was found to be high in Platunus orientalis ($\lambda$ = 0.393) and Sorbus alnifolia ($\lambda$ = 0.392) and the lowest in Metasequoia glyptostroboides vegetation($\lambda$= 0.067). The analysis of diversity by reverse Simpson's coefficient revealed that it was high in Metasequoia glyptostroboides ($d_s$ = 14.925), Pinus rigida ($d_s$ = 7.874) and was the lowest in Platunus orientalis vegetation ($d_s$ = 2.545). Evenness calculated by using d. and $d_{max}$(maximal diversity) was high in Metasequoia glyptostroboides ($E_s$ = 0.714) and Chamaecyparis pisifera vegetation ($E_s$ = 0.624). On the contrary, Quercus mongo/ica vegetation had the lowest value of evenness ($E_s$ = 0.182).