• Journal of the Korean Mathematical Society
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• v.50 no.2
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• pp.275-306
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• 2013

For two positive integers $m$ and $n$, let $\mathcal{P}_n$ be the open convex cone in $\mathbb{R}^{n(n+1)/2}$ consisting of positive definite $n{\times}n$ real symmetric matrices and let $\mathbb{R}^{(m,n)}$ be the set of all $m{\times}n$ real matrices. In this paper, we investigate differential operators on the non-reductive homogeneous space $\mathcal{P}_n{\times}\mathbb{R}^{(m,n)}$ that are invariant under the natural action of the semidirect product group $GL(n,\mathbb{R}){\times}\mathbb{R}^{(m,n)}$ on the Minkowski-Euclid space $\mathcal{P}_n{\times}\mathbb{R}^{(m,n)}$. These invariant differential operators play an important role in the theory of automorphic forms on $GL(n,\mathbb{R}){\times}\mathbb{R}^{(m,n)}$ generalizing that of automorphic forms on $GL(n,\mathbb{R})$.

• Journal of Life Science
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• v.33 no.11
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• pp.905-914
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• 2023

To evaluate the effectiveness of the skin barrier improvement of lactic acid (LA) and gluconolactone (GL), the expression of filaggrin, loricrin, hyaluronic acid (HA), hyaluronan syhthase-2 (HAS2), and aquaporine-3 (AQP3) in keratinocytes, and the moisture content and transepidermal water loss (TEWL) by clinical trials were evaluated. The expression levels of filaggrin and locricrin, which are the main factors affecting the proper functioning of skin barrier function, and HA, HAS2, and AQP3, which are skin moisturizing-related proteins measured by quantitative real-time polymerase chain reaction (qRT-PCR) and western blotting. The results showed that the expression levels of the factors that decreased by H2O2 treatment were significantly increased by LA, GL, and a mixture of LA and GL at the mRNA and protein levels (p<0.05). The nanoemulsion containing a mixture of LA and GL was prepared using the emulsion inversion method, and the average particle size was 299.9 ± 0.287 nm. After measuring the TEWL of nanoemulsion using Vapometer, it was found that TEWL significantly decreased by 15.53% and 26.73% after two weeks and four weeks of product use, respectively, compared to TEWL before product use (p<0.001). Similarly, the skin moisture content of the nanoemulsion significantly increased by 15.40% and 26.59% after two weeks and four weeks of product use, respectively, compared to skin moisture content before product use (p<0.001). Therefore, the skin barrier function and moisturizing effect of a mixture of LA and GL are shown by increasing the moisture content and decreasing the TEWL by increasing the expression of filaggrin, loricrin, HA, HAS2, and AQP3. This suggests the possibility for the development of functional cosmetic ingredients in the future.

• Journal of Korea Game Society
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• v.8 no.4
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• pp.87-93
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• 2008

The game engine has executed an application after making a mobile 3D game engine which is based on mobile 3D standard graphic API using openGL-ES so far. But, We could not do it satisfactorily that contents compatibility of various types as a various low-level's function is supported. At this point, This study introduce a mobile 3D game engine which is based on mobile 3D standard graphic API using JSR-184 that supporting a high-level's API more than openGL-ES and optimizing to Java environment on J2ME in the center of GSM phone. Also, We shows that the proposed skinned-mesh scheme for enhancing the process speed of a 3D object on JSR-184 engine. The experimental results are shown.

• Proceedings of the Ginseng society Conference
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• 1987.06a
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• pp.59-66
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• 1987

Psychotropic actions of crude ginseng saponins(CGS), pure ginsenoslue Rbl(GS-bl) and gin- senoside Rgl(GS-gl) isolated from the root of Panax ginseng, were evaluated by determining their effects on agonistic behavior in male(Experiment 1) and female(Experiment 2) mice, using a biologically relevant method. The results of experiment 1 demonstrated that CGS and GS-bl significantly suppressed aggressive episodes (offensive sideways posture and attack bite) in a dose-dependent manner when the resident was drugged, whereas G5-gl was ineffective. However, when the intruder was treated with one of three ginseng saponins, agonistic behavior between resident and intruder males was not altered. In experiment 2, acute administration of CGS and G5-bl significantly suppressed maternal aggression, whereas GS-gl was ineffective. As compared with the vehicle-treated group, chronic treatment with CGS and GS-bl significantly suppressed maternal aggression, while GS-gl showed a tendency to increase the frequency of attack bite by females. These findings clearly indicate that the root of Panax ginseng contains psychoactive ingredient, which can suppress both intermale and maternal aggression in mice. We suggest that the present results have important implications for the clinical usefulness of ginseng saponins in psychiatric medicine.

• KSBB Journal
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• v.6 no.1
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• pp.35-43
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• 1991

The production of poly-$\beta$-hydroxybutyrate(PHB) from methanol by batch and fed-batch cultivations of Methylobacterium sp. GL-10 was studied. PHB accumulation was stimulated by the nutrients deficiency including, NH4+, SO42-, and K+. The nitrogen deficiency was the most critical factor for PHB accumulation. In batch cultivation, the maximum cell concentration and PHB content were 1.86g/l and 0.62g/l, respectively, with 1.0%(v/v) of methanol and 0.5g/1 of ammonium sulfate. The mass doubling time of Methylobacterum sp. GL-10 was in the range of 4-5 hrs. The cell growth and PHB accumulation were severely inhibited at the methanol concentration over than 2% (v/v). To overcome methanol Inhibition, constant feeding and intermittent feedillg fed-batch cultivations were adopted, using C/N molar ratio as a control factor. In constant feeding fed-batch process, cell concentration was increased up to 2.67g/1, and PHB yield was enhanced from 0.33 of batch culture to 0.53. The relatively low cell concentration was caused by methanol accumulated in culture broth at late growth phase. To prevent methanol accumulation and to maximize PHB production, DO-state intermittent fed-batch cultivation was attempted. The cell and PHB concentration was reached up to 4.55g/1 and 1.80g/1, respectively. It was possible to maintain methanol concentration low and also to feed nutrient of desired C/N molar ratio.

• Journal of Applied Biological Chemistry
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• v.55 no.1
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• pp.67-70
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• 2012

Plant MYB transcription factors regulate secondary metabolism, cellular morphogenesis, and plant hormone signaling pathway. MYB proteins in plants consist of two repeats of 50 amino acid residues, which are referred to as R2R3 and they interact with WD40 or basic helix loop helix (bHLH) proteins. Yeast two hybrid assay was determined whether rice MYB protein interacts with either OsTTG1, which contains a WD40 domain, or with OsGL3, which contains a bHLH domain. Among 30 OsMYB proteins, three interacted with OsTTG1 and five interacted with OsGL3. A series of MYB mutants were created to determine the MYB domain important for the interaction with OsTTG1 or OsGL3. By using the yeast two hybrid assay, we found that the R3 motif of OsMYB10 and the R2 motif of OsMYB16 were required for interaction with OsTTG1 and OsGL3 proteins, respectively.

• Journal of the Society of Naval Architects of Korea
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• v.48 no.2
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• pp.171-177
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• 2011

Tensile tests were conducted at low temperatures for the steel materials which are used for outer shell of the vessels making transit through the polar regions. The selected steel materials were GL-DH32, GL-DH36 and GL-EH36. In comparison with the results at room temperature, the yield stress increases approximately by 10 to 13 percent at $-30^{\circ}C$ and by 13 to 19 percent at $-50^{\circ}C$ while the tensile strength increases about by 9 percent at $-30^{\circ}C$ and 11 to 14 percent at $-50^{\circ}C$. To obtain true stress-true strain, i.e. correct plastic hardening characteristics, Bridgman's(1952) necking correction formula was introduced taking triaxial state of stresses after onset of diffuse necking into consideration. Photographs of fractured surfaces were taken by using Scanning Electron Microscope immedately after tensile tests completed and one for GL-EH36 has been presented in this paper.

• Honam Mathematical Journal
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• v.3 no.1
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• pp.41-60
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• 1981

다양체(多樣體)의 연구(硏究)에서 벡터속(束)의 개념(慨念)은 불가결(不可缺)하며 벡터속(束)의 연구(硏究)에는 엽층구조(葉層構造)의 연구(硏究)가 중요(重要)하다. 본(本) 논문(論文)은 권(圈) $\varrho$(M)의 응사보편공간(凝似普遍空間)에 관한 연구(硏究)(정리(定理) 4.8)로서 R. Bott의 엽층구조(葉層構造)에 관한 연구(硏究)([1])에서 착상(着想)된 것이다. 제이(第二), 삼절(三節)은 제사절(第四節)을 위한 준비(準備)로서, 제이절(第二節)에서는 벡터속(束)및 접속(接續)에 관한 성질(性質)을 논하고, 제삼절(第三節)에서는 위상권(位相圈), 층(層), 엽층구조(葉層構造) 및 $\Gamma_{q}$-cocycle 등에 관한 성질(性質)(명제(命題) 3.5, 3.7과 3.11)을 밝히고, 위상권(位相圈)의 구체적(具體的)인 예(例)(예(例)3.2, 3.3과 3.12)를 들었다. 제사절(第四節)에서는 $GL_{q}-cocycle$, 위상권(位相圈) $GL_{q}$, 집합(集合) $I_{so}(M_{k},\;GL_{q})$, $H^{1}(M_{k},\;GL_{q})$, $I_{so}(\varrho(M))$ 및 응사보편공간(凝似普遍空間)을 정의(定義)하고, 주정리(主定理) 4.8의 증명(證明)에 필요(必要)한 명제(命題)를 몇 개 기술(記述)하였다(명제(命題) 4.2, 4.5와 보제(補題) 4.9).

• Journal of the Korean Mathematical Society
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• v.58 no.3
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• pp.643-702
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• 2021

Fix ℤ/2 is the prime field of two elements and write 𝒜₂ for the mod 2 Steenrod algebra. Denote by GL_d := GL(d, ℤ/2) the general linear group of rank d over ℤ/2 and by ${\mathfrak{P}}_d$ the polynomial algebra ℤ/2[x₁, x₂, …, x_d] as a connected unstable 𝒜₂-module on d generators of degree one. We study the Peterson "hit problem" of finding the minimal set of 𝒜₂-generators for ${\mathfrak{P}}_d$. Equivalently, we need to determine a basis for the ℤ/2-vector space $$Q{\mathfrak{P}}_d:={\mathbb{Z}}/2{\otimes}_{\mathcal{A}_2}\;{\mathfrak{P}}_d{\sim_=}{\mathfrak{P}}_d/{\mathcal{A}}^+_2{\mathfrak{P}}_d$$ in each degree n ≥ 1. Note that this space is a representation of GL_d over ℤ/2. The problem for d = 5 is not yet completely solved, and unknown in general. In this work, we give an explicit solution to the hit problem of five variables in the generic degree n = r(2^t - 1) + 2^ts with r = d = 5, s = 8 and t an arbitrary non-negative integer. An application of this study to the cases t = 0 and t = 1 shows that the Singer algebraic transfer of rank 5 is an isomorphism in the bidegrees (5, 5 + (13.2⁰ - 5)) and (5, 5 + (13.2¹ - 5)). Moreover, the result when t ≥ 2 was also discussed. Here, the Singer transfer of rank d is a ℤ/2-algebra homomorphism from GL_d-coinvariants of certain subspaces of $Q{\mathfrak{P}}_d$ to the cohomology groups of the Steenrod algebra, $Ext^{d,d+*}_{\mathcal{A}_2}$ (ℤ/2, ℤ/2). It is one of the useful tools for studying these mysterious Ext groups.

• Communications of the Korean Mathematical Society
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• v.12 no.4
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• pp.951-973
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• 1997

We classify up to conjugation all finite abelian subgroups of $GL(2,C)$ of order $\leq 18$ and compute the generators and relations of their rings of invariants. In other words, we classify all 2-dimensional quotient singularities by an abelian group of order $\leq 18$ and compute the generators and relations of their affine coordinate rings.