• Journal of applied mathematics & informatics
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• v.33 no.3_4
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• pp.235-246
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• 2015

In this paper, a vector optimization problem over cones is considered, where the functions involved are $\eta$-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone $\rho$-semilocally preinvex, cone $\rho$-semilocally quasi-preinvex and cone $\rho$-semilocally pseudo-preinvex functions.

• Journal of applied mathematics & informatics
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• v.28 no.5_6
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• pp.1395-1408
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• 2010

In this paper, a pair of Wolfe type second-order nondifferentiable multiobjective symmetric dual program over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order (F, $\alpha$, $\rho$, d)-convexity assumptions. An illustration is given to show that second-order (F, $\alpha$, $\rho$, d)-convex functions are generalization of second-order F-convex functions. Several known results including many recent works are obtained as special cases.

• Journal of the Korean Institute of Landscape Architecture
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• v.35 no.1 s.120
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• pp.48-58
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• 2007

The purpose of this study was not only to clearly examine the features of the scenery and visual elements of Oreum (parasitic cones) but also to investigate primary factors in landscape preferences for these cones. This study further attempted to gain basic information for examining the preservation of Oreum in regards to the influence of scenery on the general public. A Multiple Regression Analysis was used for this study for which the independent variable was the area ratio of the fore-, mid-, and background of the view under the feature element and the structure of the scenery at the Oreum. The dependent variables were the preference value, the number of summits, and the highest altitude of the Oreum. All but the highest inclination were positive variables. The area ratio of the Oreum was found to be the most important variable. The area of sky and the area of the distant scenery were shown to be positive explanation variables, while the area to the fore of the view and the area to the middle of the view were shown as negative explanation variable. In the preference for Oreum scenery, which has a high visibility and is clearly outlined against the skyline, it was found that as the hindrance element of visibility near to a visual point or the area ratio increased, the preference for the Oreum scenery decreased.

• The Bulletin of The Korean Astronomical Society
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• v.42 no.2
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• pp.62.1-62.1
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• 2017

In space weather forecast, it is important to determine three-dimensional properties of CMEs. Using 29 limb CMEs, we examine which cone type is close to a CME three-dimensional structure. We find that most CMEs have near full ice-cream cone structure which is a symmetrical circular cone combined with a hemisphere. We develop a full ice-cream cone model based on a new methodology that the full ice-cream cone consists of many flat cones with different heights and angular widths. By applying this model to 12 SOHO/LASCO halo CMEs, we find that 3D parameters from our method are similar to those from other stereoscopic methods (i.e., a triangulation method and a Graduated Cylindrical Shell model). In addition, we derive CME mean density (${\bar{\rho}_{CME}}={\frac{M_{total}}{V_{cone}}}$) based on the full ice-cream cone structure. For several limb events, we determine CME mass by applying the Solarsoft procedure (e.g., cme_mass.pro) to SOHO/LASCO C3 images. CME volumes are estimated from the full ice-cream cone structure. For the first time, we derive average CME densities as a function of CME height for several CMEs, which are well fitted to power-law functions. We will compare densities (front and average) of geoeffective CMEs and their corresponding ICME ones.