• Journal of the Korean Mathematical Society
• /
• v.42 no.3
• /
• pp.573-597
• /
• 2005

A continuous linear operator T, on the space of entire functions in d variables, is PDE-preserving for a given set $\mathbb{P}\;\subseteq\;\mathbb{C}|\xi_{1},\ldots,\xi_{d}|$ of polynomials if it maps every kernel-set ker P(D), $P\;{\in}\;\mathbb{P}$, invariantly. It is clear that the set $\mathbb{O}({\mathbb{P}})$ of PDE-preserving operators for $\mathbb{P}$ forms an algebra under composition. We study and link properties and structures on the operator side $\mathbb{O}({\mathbb{P}})$ versus the corresponding family $\mathbb{P}$ of polynomials. For our purposes, we introduce notions such as the PDE-preserving hull and basic sets for a given set $\mathbb{P}$ which, roughly, is the largest, respectively a minimal, collection of polynomials that generate all the PDE-preserving operators for $\mathbb{P}$. We also describe PDE-preserving operators via a kernel theorem. We apply Hilbert's Nullstellensatz.

• Journal of the Korean Statistical Society
• /
• v.30 no.2
• /
• pp.193-217
• /
• 2001

Despite of the rich literature in discriminant analysis, this complicated subject remains much to be explored. In this article, we study the theoretical foundation that supports Fisher's linear discriminant analysis (LDA) by setting up the classification problem under the dimension reduction framework as in Li(1991) for introducing sliced inverse regression(SIR). Through the connection between SIR and LDA, our theory helps identify sources of strength and weakness in using CRIMCOORDS(Gnanadesikan 1977) as a graphical tool for displaying group separation patterns. This connection also leads to several ways of generalizing LDA for better exploration and exploitation of nonlinear data patterns.

• Proceedings of the Korean Geotechical Society Conference
• /
• 2008.10a
• /
• pp.1494-1501
• /
• 2008

Recently, the demand of water resources is constantly increasing due to the substantial increase of population, economy, and living standard. However, it is expected that the water resources should undergo serious problems of poor quality of water as well as shortage of water supply in the near future. Additionally, thoughtless groundwater development have caused to dry river and stream. In this study, the effectiveness of dry stream protection plan is evaluated by using 3-D groundwater flow modeling for the study area which is located in Namyangju of Kyoungi Province. Aquifer tests are performed to obtain the input data of the model. To analyze causes of dry stream using modeling results that water balance is analyzed for situations of before and after closing the wells.

• Earthquakes and Structures
• /
• v.18 no.6
• /
• pp.677-689
• /
• 2020

A building structural system of moment resisting frame (MRF) with concrete filled steel tubular (CFST) columns and wide flange H beams, is one of the most conveniently constructed structural systems. However, there were few studies on evaluating seismic performance of full-scale CFST columns under high axial compression. In addition, some existing famous design codes propose various limits of width-to-thickness ratio (B/t) for steel tubes of the ductile CFST composite members. This study was intended to investigate the seismic behavior of CFST columns under high axial load compression. Four full-scale square CFST column specimens with a B/t of 42 were carried out that were subjected to horizontal cyclic-reversal loads combined with constantly light, medium and high axial loads and with a linearly varied axial load, respectively. Test results revealed that shear strength and deformation capacity of the columns significantly decreased when the axial compression exceeded 0.35 times the nominal compression strength of a CFST column, P₀. It was obvious that the higher the axial compression, the lower both the shear strength and deformation capacities were, and the earlier and faster the shear strength degradation occurred. It was found as well that higher axial compressions resulted in larger initial lateral stiffness and faster degradation of post-yield lateral stiffness. Meanwhile, the lower axial compressions led to better energy dissipation capacities with larger cumulative energy. Moreover, the study implied that under axial compressions greater than 0.35P₀, the CFST column specimens with B/t limits recommended by AISC 360 (2016), ACI 318 (2014), AIJ (2008) and EC4 (2004) codes do not provide ultimate interstory drift ratio of more than 3% radian, and only the limit in ACI 318 (2014) code satisfies this requirement when axial compression does not exceed 0.35P₀.

• Journal of the Korean Society of Food Science and Nutrition
• /
• v.35 no.2
• /
• pp.150-157
• /
• 2006

The aim of the present study was to investigate the effect of combined extract of safflower seed with herbs on the improvement of blood glucose, lipid peroxides, lipids in the plasma and liver of strpetozotocin-induced diabetic rats. Rats in the experimental group were orally administered with combined extract of safflower seed (100 mg, 200 mg/kg B.W.) with herbs (Ophiopogon japonicus Ker-Gaqler, Glycyrrhiza uralensis Fisch, Mori Folium, Poria cocos, Rehmannia glutinosa, Eriobtrya japonica, Aralia continentalis Kitagawa, Zizyphus jujuba var, Cornus officinalis, Paeonia suffruticosa, Trichosanthes kirilowii Maxim and Schizandra chinensis Baill) for 4 weeks. Body weight gain and food efficiency ratio were significantly lower in diabetic groups than those of control group. These were no protective effect of the supplementation of combined extract of safflower seed with herbs. Concentration of blood glucose was significantly higher in the diabetic groups than those in the control group. Blood glucose concentration was remarkably lower supplementation of combined extract of safflower seed (200 mg/kg B.W.) with herbs. There was no significant difference of plasma lipid peroxides among experimental groups, while liver lipid peroxides of diabetic group was significantly higher in control group. But supplementation of combined extract of safflower seed with herbs was induced markedly lower in liver lipid peroxides in diabetic rats. Diabetic groups had markedly higher levels in triglycerides, LDL-cholesterol and atherogenic index, while had lower HDL-cholesterol level. Triglyceride levels of plasma and liver were significantly lower with combined extract of safflower seed with herbs. But total cholesterol, phospholipid and free fatty acid were no differing significantly among experimental groups.