• Title/Summary/Keyword: L.I.L.

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ON SOME L1-FINITE TYPE (HYPER)SURFACES IN ℝn+1

  • Kashani, Seyed Mohammad Bagher
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.35-43
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    • 2009
  • We say that an isometric immersed hypersurface x : $M^n\;{\rightarrow}\;{\mathbb{R}}^{n+1}$ is of $L_k$-finite type ($L_k$-f.t.) if $x\;=\;{\sum}^p_{i=0}x_i$ for some positive integer p < $\infty$, $x_i$ : $M{\rightarrow}{\mathbb{R}}^{n+1}$ is smooth and $L_kx_i={\lambda}_ix_i$, ${\lambda}_i\;{\in}\;{\mathbb{R}}$, $0{\leq}i{\leq}p$, $L_kf=trP_k\;{\circ}\;{\nabla}^2f$ for $f\;{\in}\'C^{\infty}(M)$, where $P_k$ is the kth Newton transformation, ${\nabla}^2f$ is the Hessian of f, $L_kx\;=\;(L_kx^1,\;{\ldots},\;L_kx^{n+1})$, $x=(x^1,\;{\ldots},\;x^{n+1})$. In this article we study the following(hyper)surfaces in ${\mathbb{R}}^{n+1}$ from the view point of $L_1$-finiteness type: totally umbilic ones, generalized cylinders $S^m(r){\times}{\mathbb{R}}^{n-m}$, ruled surfaces in ${\mathbb{R}}^{n+1}$ and some revolution surfaces in ${\mathbb{R}}^3$.

A phonological study and historical view on IC clusters in English (영어 lC 자음군에 관한 역사적 조명과 음운적 고찰)

  • Oh, Kwanyoung
    • English Language & Literature Teaching
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    • v.16 no.4
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    • pp.201-222
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    • 2010
  • The purpose of this study is to investigate /l/-deletion in lC clusters which are composed of a lateral followed by consonants at syllable-final position in English. For this, I have analyzed /l/-deletion in words depending on conditions and theoretical analyses such as Sonority Sequencing Generalization, Cluster Simplification, Complex sounds and merger, and Feature Geometry, but they didn't offer a very satisfactory explanation to the phenomenon. Therefore, I adopted a historical approach in order to determine the cause and origin of /l/-deletion in lC clusters, and then as a phonological analysis tool, I relied on the constraints and their ranking in Optimal Theory framework for explaining /l/-deletion in the clusters more consistently. As a result, I can explain the phenomenon more explicitly than from the above mentioned analyses.

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Lysophosphatidylcholine Increases $Ca^{2+}$ Current via Activation of Protein Kinase C in Rabbit Portal Vein Smooth Muscle Cells

  • Jung, Seung-Soo;Lee, Young-Ho;Han, Sung-Sik;Kim, Young-Whan;Nam, Taik-Sang;Ahn, Duck-Sun
    • The Korean Journal of Physiology and Pharmacology
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    • v.12 no.1
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    • pp.31-35
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    • 2008
  • Lysophosphatidylcholine (LPC), a metabolite of membrane phospholipids by phospholipase $A_2$, has been considered responsible for the development of abnormal vascular reactivity during atherosclerosis. $Ca^{2+}$ influx was shown to be augmented in atherosclerotic artery which might be responsible for abnormal vascular reactivity. However, the mechanism underlying $Ca^{2+}$ influx change in atherosclerotic artery remains undetermined. The purpose of the present study was to examine the effects of LPC on L-type $Ca^{2+}$ current $(I_{Ca(L)})$ activity and to elucidate the mechanism of LPC-induced change of $I_{Ca(L)}$ in rabbit portal vein smooth muscle cells using whole cell patch clamp. Extracellular application of LPC increased $I_{Ca(L)}$ through whole test potentials, and this effect was readily reversed by washout. Steady state voltage dependency of activation or inactivation properties of $I_{Ca(L)}$ was not significantly changed by LPC. Staurosporine (100 nM) or chelerythrine $(3{\mu}M)$, which is a potent inhibitor of PKC, significantly decreased basal $I_{Ca(L)}$, and LPC-induced increase of $I_{Ca(L)}$ was significantly suppressed in the presence of PKC inhibitors. On the other hand, application of PMA, an activator of PKC, increased basal $I_{Ca(L)}$ significantly, and LPC-induced enhancement of $I_{Ca(L)}$ was abolished by pretreatment of the cells with PMA. These findings suggest that LPC increased $I_{Ca(L)}$ in vascular smooth muscle cells by a pathway that involves PKC, and that LPC-induced increase of $I_{Ca(L)}$ might be, at least in part, responsible for increased $Ca^{2+}$ influx in atherosclerotic artery.

Banach ssubspaces and envelope norm of $_wL_{\hat {1}}$

  • Kang, Jeong-Heung
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.409-420
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    • 1998
  • In this paper as a univesal Banach space of the separable Banach spaces we investigate the complemented Banach subspaces of $_wL_{\hat {I}}$. Also, using Peck's theorem and the properties of the envelope norm of $_wL_{\hat {I}}$ we will find a canonical basis of $l_1^n, l_\infty^n$ for each n.

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Synthesis and Characterization of Ni(Ⅱ) Complexes with Aminophosphine, Ni(L)X$_2$ and [Ni(L)$_2$]Cl$_2$ (L = L$_1$, L$_2$ ; X = Cl$^-$, Br$^-$, I$^-$) (Aminophosphine류 리간드가 배위된 Ni(Ⅱ) 착물, Ni(L)X$_2$ 및 [Ni(L)$_2$]Cl$_2$ (L = L$_1$, L$_2$ ; X = Cl$^-$, Br$^-$, I$^-$)의 합성과 성질)

  • Jeong, Maeng Jun;Park, Sang Gyu;Jeong, Min Ho;Kim, Bong Gon;Do, Myeong Gi
    • Journal of the Korean Chemical Society
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    • v.38 no.4
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    • pp.288-294
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    • 1994
  • Several new nickel(II) complexes, [Ni(L)X$_2$ and [Ni(L)$_2$]Cl$_2$ (L = L$_1$, L$_2$ ; X = Cl$^-$, Br$^-$, I$^-$) have been synthesized by reacting NiX$_2$ or NiX$_2$, 6H$_2$O with aminophosphines(L) wherein L is 1,2-bis{(diphenylphosphino)amino}propane(L$_1$) or 1,2-bis{(diphenylphosphino)amino}ethane(L$_2$). These complexes are characterized by the optical spectroscopic methods (UV/Vis, CD, IR, $^1$H-NMR, and $^{31}$P-NMR) together with conductometer and elemental analysis. The complex with I$^-$ is tetrahedral, where the complexes with Cl$^-$ or Br$^-$ are square planar. The complexes, [Ni(L)X$_2$](X = Cl$^-$, Br$^-$) become tetrahedral, as they react with methyl iodide. The Ni(L)X$_2$ complexes underwent solvolysis with a various organic solvents such is EtOH, DMSO, THF and DMF.

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Treatment of Phenolic Resin Wasterwater by Candida tropicalis PW-51 (Candida tropicalis PW-51을 이용한 페놀수지 폐수의 처리)

  • 김성빈;김희식;오희목;윤병대;김치경
    • Korean Journal of Microbiology
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    • v.35 no.3
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    • pp.237-241
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    • 1999
  • Phenolic resin wastewater contained 41,000 mglI phenol, 2,800 mg/l fonualdehyde and various chlorinated phenolic compounds. Candida tropicalis PW-51 isolated [rom the natural enVlfooment was able to degrade 1,000 mg/l phenol in the presence of 100 mglI formaldehyde, but it took much time to degrade phenol with the increase of formaldehyde in phenolic resin wastewater. %en the phenolic resin wastewater was diluted to 1/40, the initial concentration of phenolic compounds (phenols) was 882 mglI and degraded to 81 mglI by C tfVpicalis PW-51 in batch culture. In a continuous biological treatment, the phenolic resin wastewater was diluted to 40 (745 mglI), 20 (1,356 mglI), or 10 (2,875 mglI) times. The removal efficiency of phenols in 1/40- and lI20-diluted phenolic resin wastewater was about 92%, but the phenols in 1!1O-diluted wastewater were not degraded. The remained phenols in wastewater were absorbed by a mixture of activated carbon and rice bran (1:1, v:v) in the process of absorption which was connected to the biological treatment. The total removal efficiency of phenols in 1!40~ and l/20-diluted phenolic resin wastewater was 99.9%.

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Tanshinone I, an Active Ingredient of Salvia miltiorrhiza, Inhibits Differentiation of 3T3-L1 Preadipocytes and Lipid Accumulation in Zebrafish

  • Kwon, Hyo-Shin;Jang, Byeong-Churl
    • Journal of Korean Medicine for Obesity Research
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    • v.20 no.2
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    • pp.109-121
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    • 2020
  • Objectives: Tanshinone I is a bioactive constituent in Salvia miltiorrhiza. At present, the anti-obesity effect and mechanism of tanshinone I are not fully understood. Here we investigated the effect of tanshinone I on lipid accumulation in 3T3-L1 preadipocytes and zebrafish. Methods: Lipid accumulation and triglyceride (TG) content in 3T3-L1 cells were determined by Oil Red O staining and AdipoRed assay, respectively. The expression and phosphorylation levels of adipogenic/lipogenic proteins in 3T3-L1 cells were evaluated by Western blotting. The messenger RNA (mRNA) expression levels of adipogenic/lipogenic markers and leptin in 3T3-L1 cells were measured by reverse transcription polymerase chain reaction (RT-PCR). Lipid accumulation in zebrafish was assessed by LipidGreen2 staining. Results: Tanshinone I at 5 μM largely blocked lipid accumulation and reduced TG content in differentiating 3T3-L1 cells. Furthermore, tanshinone I decreased the expression of CCAAT/enhancer-binding protein-α (C/EBP-α), peroxisome proliferator-activated receptor-γ (PPAR-γ), fatty acid synthase (FAS), acetyl CoA carboxylase (ACC), and perilipin A but also the phosphorylation of signal transducer and activator of transcription-3 (STAT-3) in differentiating 3T3-L1 cells. In addition, tanshinone I increased the phosphorylation of adenosine 3',5'-cyclic monophosphate (cAMP)-activated protein kinase (AMPK) while decreased the intracellular adenosine triphosphate (ATP) content with no change in the phosphorylation and expression of liver kinase-B1 in differentiating 3T3-L1 cells. Importantly, tanshinone I also reduced the extent of lipid deposit formation in developing zebrafish. Conclusions: These findings demonstrate that tanshinone I has strong anti-adipogenic effects on 3T3-L1 cells and reduces adiposity in zebrafish, and these anti-adipogenic effect in 3T3-L1 cells are mediated through control of C/EBP-α, PPAR-γ, STAT-3, FAS, ACC, perilipin A, and AMPK.

A Study on Nuclear Information Management System Utilizing Microcomputer (마이크로 컴퓨터를 이용한 원자력 분야 정보 관리 시스템 개발)

  • 김규선;김태승
    • Journal of the Korean Society for information Management
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    • v.6 no.1
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    • pp.15-36
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    • 1989
  • The r a p i d i n c r e a s e o f microcomputer technology has r e s u l t e d i n t h e broad a p p l i c a t i o n t o various f i e l d s . The purpose of t h l s paper 1s to design a computerized r e t r i e v a l system f o r nuclear information m a t e r i a l s using a microcomputer.

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POSITIVE INTERPOLATION PROBLEMS IN ALG𝓛

  • KANG, JOO HO;KIM, KI SOOK
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.379-389
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    • 2004
  • Given operators X and Y acting on a Hilbert space ${\mathcal{H}}$, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_i=Y_i$, for $i=1,2,{\cdots},n$. In this article, we obtained the following : Let ${\mathcal{H}}$ be a Hilbert space and let ${\mathcal{L}}$ be a commutative subspace lattice on ${\mathcal{H}}$. Let X and Y be operators acting on ${\mathcal{H}}$. Then the following statements are equivalent. (1) There exists an operator A in $Alg{\mathcal{L}}$ such that AX = Y, A is positive and every E in ${\mathcal{L}}$ reduces A. (2) sup ${\frac{{\parallel}{\sum}^n_{i=1}\;E_iY\;f_i{\parallel}}{{\parallel}{\sum}^n_{i=1}\;E_iX\;f_i{\parallel}}}:n{\in}{\mathbb{N}},\;E_i{\in}{\mathcal{L}}$ and $f_i{\in}{\mathcal{H}}<{\infty}$ and <${\sum}^n_{i=1}\;E_iY\;f_i$, ${\sum}^n_{i=1}\;E_iX\;f_i>\;{\geq}0$, $n{\in}{\mathbb{N}}$, $E_i{\in}{\mathcal{L}}$ and $f_i{\in}H$.

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Effects on the thermal change of the Taeyon(L1) and the Chungbu(L1) area following acupuncture stimulation on Taeyon(L9) in man (태연(太淵)(L9)자침(刺鍼)이 태연(太淵)(L9)과 중부(中府)(L1)영역(領域)의 온도변화(溫度變化)에 미치는 영향(影響))

  • Kim, Young-ho;Song, Beom-Yong;Yook, Tae-han
    • Journal of Acupuncture Research
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    • v.18 no.5
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    • pp.77-91
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    • 2001
  • Backgrounds and purpose : The acupuncture of oriental medicine is very important in treatments. Until now it was been researched according to the meridian and qi xue(氣血) phenomenon of oriental medicine's theory. Acupuncture will show more objective index to observe the meridian. And then, I studied the effects on the thermal change of the Taeyon($L_9$) and Chungbu($L_1$) following acupuncture stimulation. Objective and Methods : This study was performed from December 1999 to February 2000 on 60 healthy students. The objective was divided into two groups, those are the control group A(N=30) that no acupuncture stimulation, the group B(N=30) of acupuncture stimulation on Taeyon($L_9$). First, in the control group A, I took a picture Taeyon($L_9$) Chungbu($L_1$) Taenung($P_7$) Chondol($CV_{22}$) area for 30 men without any stimulation with the Digital Infrared Thermograph Imaging(D.I.T.l.) and did same area, 10min after. Second, in the acupuncture stimulation group B, we took a picture Taeyon($L_9$) Chungbu($L_1$) Taenung($P_7$) Chondol($CV_{22}$) area for 30 men without any stimulation with the Digital Infrared Th - ermograph Imaging(D.I.T.I.), and then stimulate acupuncture on Taeyon($L_9$) and took a picture same area, 10min after. Results : 1. In healthy men, average skin temperture on Taeyon($L_9$) area was lower than Chungbu($L_1$) area about $3.0^{\circ}C$, in the Lt. Taeyon($L_9$) and Chungbu($L_1$) area was lower than Rt. Taeyon($L_9$) and Chungbu($L_1$) area. 2. In the acupuncture stimulation group B, the skin temperature of both side Taeyon($L_9$) area showed the increase or decrease significantly. But both Taenung($P_7$) area did not showed significantly. 3. In the acupuncture stimulation group B, the skin temperature of both side Chungbu($L_1$) area showed the increase or decrease significantly. But both Chondol($CV_{22}$) area did not showed significantly. 4. The thermal changes of the area which is a meridian point in the Lung Meridian of the acupuncture stimulation group on Taeyon($L_9$) different from other Meridian with significantly change. Conclusion : The acupuncture stimulation on Taeyon($L_9$) affected the thermal change of the area which is a meridian point, in the Lung Meridian. And then I could relate these results with the existence of the meridian and meridian point. Thus, continuous thermographic study will be needed for the existence of the meridian and meridian point.

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