• Korean Journal of Mathematics
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• v.7 no.2
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• pp.315-320
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• 1999

In this paper, we introduce the subsupratopology and the productsupratopology. In particular, we will show the class induced by a restricted supratopology contains the restricted class induced by the supratopology.

• Communications of the Korean Mathematical Society
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• v.38 no.3
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• pp.787-805
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• 2023

Let (Ω, µ) be a measure space and {τ_α}_α∈Ω be a normalized continuous Bessel family for a finite dimensional Hilbert space 𝓗 of dimension d. If the diagonal ∆ := {(α, α) : α ∈ Ω} is measurable in the measure space Ω × Ω, then we show that $$\sup\limits_{{\alpha},{\beta}{\in}{\Omega},{\alpha}{\neq}{\beta}}\,{\mid}{\langle}{\tau}_{\alpha},\,{\tau}_{\beta}{\rangle}{\mid}^{2m}\,{\geq}\,{\frac{1}{({\mu}{\times}{\mu})(({\Omega}{\times}{\Omega}{\backslash}{\Delta})}\;\[\frac{{\mu}({\Omega})^2}{\({d+m-1 \atop m}\)}-({\mu}{\times}{\mu})({\Delta})\],\;{\forall}m{\in}{\mathbb{N}}.$$ This improves 48 years old celebrated result of Welch [41]. We introduce the notions of continuous cross correlation and frame potential of Bessel family and give applications of continuous Welch bounds to these concepts. We also introduce the notion of continuous Grassmannian frames.

• Korean Journal of Remote Sensing
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• v.30 no.1
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• pp.47-59
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• 2014

Volcanic ash (VA) can be estimated by remote sensing sensors through their spectral signatures determined by the inherent optical property (IOP) including complex refractive index and the scattering properties. Until now, a very limited range of VA refractive indices has been reported and the VA from each volcanic eruption has a different composition. To improve the robustness of VA remote sensing, there is a need to understanding of VA - radiation interactions. In this study, we calculated extinction coefficient, scattering phase function, asymmetry factor, and single scattering albedo which show different values between andesite and pumice. Then, IOPs were used to analyze the relationship between theoretical remote sensed radiation calculated by radiative transfer model under various aerosol optical thickness (${\tau}$) and sun-sensor geometries and characteristics of VA. It was found that the mean rate of change of radiance at top of atmosphere versus ${\tau}$ is six times larger than in radiance values at 0.55 ${\mu}m$. At the surface, positive correlation dominates when ${\tau}$ <1, but negative correlation dominates when ${\tau}$ >1. However, radiance differences between andesite and pumice at 11 ${\mu}m$ are very small. These differences between two VA types are expressed as the polynomial regression functions and that increase as VA optical thickness increases. Finally, these results would allow VA to be better characterized by remote sensing sensors.

• Applied Chemistry for Engineering
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• v.26 no.1
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• pp.29-34
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• 2015

N,N'-Diferuloyl-putrescine (DFP) present in plants such as Sophora japonica has been reported to have skin depigmentative and antioxidative activities. In this study, DFP, usually presents in nature a very little amount and its derivative (DFP-D) were synthesized in a large quantity for the use as functional cosmetical materials. The antioxidative activities of synthesized DFP and DFP-D were evaluated by the 1,1-diphenyl-2-picrylhydrazyl (DPPH) assay, chemiluminescence assay, and cell protective effect induced by $^1O_2$, stress. DFP and DFP-D showed DPPH radical scavenging activities ($FSC_{50}$) at $61.25{\pm}2.25{\mu}M$ and $12.92{\pm}0.72{\mu}M$, respectively. ROS (reactive oxygen species) scavenging activities ($OSC_{50}$) in the $Fe^{3+}-EDTA/H_2O_2$ system of DFP and DFP-D were 2 times ($1.84{\pm}0.12{\mu}M$) and 13 times ($0.174{\pm}0.01{\mu}M$), respectively higher than that of L-ascorbic acid. $^1O_2$, one of ROS playing a key role in the skin photo-aging, induces cellular membrane damages. DFP-D ($50{\mu}M$) showed good cell protective effects (${\tau}_{50}=80.2min$) about 2 times more than that of (+)-${\alpha}$-tocopherol (${\tau}_{50}=43.6min$). These results suggest that the great antioxidative activities of DFP and DFP-D could be applied to cosmetic industries as functional cosmetic materials.

• Applied Chemistry for Engineering
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• v.22 no.1
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• pp.114-118
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• 2011

Even though the carbon paste electrode bound with mineral oil is useful for research about the characteristics of enzymes, it remains far from practical uses because the lack of mechanical hardness limits its practical use. When the rubber liquefied in toluene was used as a binder of carbon powder in lab, it is confirmed that the mechanical robustness of the electrode is guaranteed. In order to confirm whether it shows quantitative electrochemical behaviors or not, its kinetic parameters, e.g. the symmetry factor (${\alpha}=0.28$), the exchange current density ($i_0=4.06{\mu}A/cm^2$), the capacity of the double layer ($C_d=2.11{\times}10^{-3}F$), the Michaelis constant ($K_M=2.45{\times}10^{-3}M$), and the time constant (${\tau}_B=0.077sec$) were investigated. Our experimental observations prove that the chloroprene rubber is a promising binder for the practical use of a carbon paste electrode.

• Journal of the Korean Applied Science and Technology
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• v.33 no.4
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• pp.647-657
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• 2016

In this study, the antioxidative effects and active component analysis of 50% ethanol extract, ethyl acetate fraction and aglycone fraction obtained from Prunella vulgaris L. were investigated. The free radical scavenging activities ($FSC_{50}$) was investigated at 50% ethanol extract ($15.25{\mu}g/mL$), ethyl acetate fraction ($8.68{\mu}g/mL$), and aglycone fraction ($8.25{\mu}g/mL$) respectively. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) in $Fe^{3+}-EDTA/H_2O_2$ system using the luminol-dependent chemiluminescence assay was investigated at 50% ethanol extract ($4.68{\mu}g/mL$), ethyl acetate fraction ($1.00{\mu}g/mL$), and aglycone fraction($1.02{\mu}g/mL$) respectively. In the cellular protective effect against $^1O_2$ induced cellular damage of human erythrocytes, extract/fractions of P. vulgaris L. were increased in a concentration dependent manner($1{\sim}25{\mu}g/mL$). Especially, ${\tau}_{50}$ of aglycone fraction at concentrations of $25{\mu}g/mL$ showed the most protective effects at 337.9 min. It's showed nine times higher (+)-${\alpha}$-tocopherol (${\tau}_{50}=38.7min$) as typical antioxidant in the $^1O_2$-induced photohemolysis of human erythrocytes. TLC and HPLC were used to analyse active components in the ethyl acetate fraction and aglycone fraction of P. vulgaris L. In ethyl acetate fraction, caffeic acid, rosmarinic acid, quercetin 3-${\beta}$-D-glucoside, rutin, kaempferol-3-O-rutinoside, astragalin (kaempferol-3-O-glucoside) were identified. In aglycone fraction, caffeic acid, rosmarinic acid, quercetin, kaempferol were identified. These results indicated that extract/fraction of P. vulgaris L. is may be used in cosmetics industry as natural antioxidants by quenching and/or scavenging $^1O_2$ and other ROS, and protecting cellular membranes.

• Journal of applied mathematics & informatics
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• v.28 no.5_6
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• pp.1461-1466
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• 2010

aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K < 0 and (N, $\bar{b}$) is a complete Riemannian manifold with sectional curvature bounded above by a constant $\mu$ > 0. Let u : $M{\times}[0,\;{\infty}]{\rightarrow}B_{\tau}(p)$ is a heat equation for harmonic map. We estimate the energy density of u.

• Journal of the Society of Cosmetic Scientists of Korea
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• v.39 no.1
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• pp.1-8
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• 2013

In this work, comparative study on antioxidative activities of extracts from Glycyrrhiza uralensis (G. uralensis) produced in Korea and in China and Glycyrrhiza glabra (G. glabra) produced in Uzbekistan was conducted. Among three origins, 50% ethanol extracts (21.15 ${\mu}g/mL$), ethyl acetate fraction (29.15 ${\mu}g/mL$) and aglycone fraction (3.26 ${\mu}g/mL$) of G. uralensis from Korea showed the higher free radical (1,1-phenyl-2-picrylhydrazyl, DPPH) scavenging activity ($FSC_{50}$) than extracts from other origins. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) of extracts from three origins on ROS generated in $Fe^{3+}-EDTA/H_2O_2$ system were investigated using luminol-dependent chemiluminescence assay 50% ethanol extract (1.00 ${\mu}g/mL$) and ethyl acetate fraction (0.34 ${\mu}g/mL$) of G. uralensis from China showed the most prominent ROS scavenging activity. The protective effects of extract/fractions of G. uralensis and G. glabra extracts on the rose-bengal sensitized photohemolysis of human erythrocytes were investigated. 50% ethanol extract and aglycone fraction of G. uralensis and G. glabra extracts from three origins showed cellular protective effects in a concentration dependent manner (5 ~ 50 ${\mu}g/mL$). Aglycone fraction of G. uralensis from Korea (${\tau}_{50}$ = 847.4 min)especially showed cellular protective effects four times higher than that from China (${\tau}_{50}$ = 194.3 min). These results indicate that G. uralensis and G. glabra extracts, which have been used as whitening agent, could be applicable to functional cosmetic ingredient as a natural antioxidant. Judging from the prominent cellular protecitve effects, it is concluded that G. uralensis and G. glabra extracts can protect the skin from $^1O_2$ and various ROS induced by UV.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.17 no.8
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• pp.823-829
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• 2004

In this paper, non-self-aligned SiGe HBTs with ${f}_\tau$ and${f}_max $above 50 GHz have been fabricated using an RPCVD(Reduced Pressure Chemical Vapor Deposition) system for wireless applications. In the proposed structure, in-situ boron doped selective epitaxial growth(BDSEG) and TiSi$_2$ were used for the base electrode to reduce base resistance and in-situ phosphorus doped polysilicon was used for the emitter electrode to reduce emitter resistance. SiGe base profiles and collector design methodology to increase ${f}_\tau$ and${f}_max $ are discussed in detail. Two SiGe HBTs with the collector-emitter breakdown voltages ${BV}_CEO$ of 3 V and 6 V were fabricated using SIC(selective ion-implanted collector) implantation. Fabricated SiGe HBTs have a current gain of 265 ∼ 285 and Early voltage of 102 ∼ 120 V, respectively. For the $1\times{8}_\mu{m}^2$ emitter, a SiGe HBT with ${BV}_CEO$= 6 V shows a cut-off frequency, ${f}_\tau$of 24.3 GHz and a maximum oscillation frequency, ${f}_max $of 47.6 GHz at $I_c$of 3.7 mA and$V_CE$ of 4 V. A SiGe HBT with ${BV}_CEO$ = 3 V shows ${f}_\tau$of 50.8 GHz and ${f}_max $ of 52.2 GHz at $I_c$ of 14.7 mA and $V_CE$ of 2 V.

• Journal of the Society of Cosmetic Scientists of Korea
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• v.39 no.4
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• pp.337-345
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• 2013

In this study, the antioxidative effects of Aronia melanocarpa fruit and leaf extracts were investigated. The free radical (1,1-diphenyl-2-picrylhydrazyl, DPPH) scavenging activities ($FSC_{50}$) of the ethylacetate and aglycone fractions of fruit extracts were 16.29 ${\mu}g/mL$, and 12.29 ${\mu}g/mL$, respectively. The free radical scavenging activity of fruit extract was higher than that of leaf extracts. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) of the ethylacetate and aglycone fractions of fruit extracts on ROS generated in $Fe^{3+}-EDTA/H_2O_2$ system using the luminol-dependent chemiluminescence assay showed 2.86 ${\mu}g/mL$, and 1.80 ${\mu}g/mL$, respectively. ROS scavenging activity of the aglycone fraction of fruit extracts was similar to that of L-ascorbic acid (1.50 ${\mu}g/mL$). The ROS scavenging activity of fruit extracts was higher than that of leaf extracts. The cellular protective effects of aglycone fraction of fruit extracts (${\tau}_{50}$ = 72.3 min) on the $^1O_2$-induced cellular damage of human erythrocytes especially were increased in a concentration dependent manner (5 ~ 50 ${\mu}g/mL$). ${\tau}_{50}$ (72.3 min) of the aglycone fraction showed 1.9 times higher than (+)-${\alpha}$-tocopherol (38 min), known as lipophilic antioxidant at 10 ${\mu}g/mL$. These results incidicate that A. melanocarpa fruit extracts have higher antioxidant effects than leaf extracts and could be applicable to functional cosmetics materials for antioxidants by protecting skin exposed to solar UV radiation against ROS including $^1O_2$.