• Title/Summary/Keyword: $I_{K,n}$

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Complete Convergence in a Banach Space (바나하 공간에서의 완전 수렴성)

  • Sung, Soo-Hak
    • The Journal of Natural Sciences
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    • v.9 no.1
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    • pp.57-60
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    • 1997
  • Let {$X_{ni}$,1$\leq$i$\leq$,n$\geq$1} be an array of rowwise independent B-valued random variables which is uniformly bounded by a random various X satisfying $E|X|^{2p}<\infty$ for some p$\geq$1. Let {$a_{ni}$,1$\leq$i$\leq$,n$\geq$1} be an array of constants. Under some auxiliary conditions on {$a_{ni}$}, it is shown that $sum_{i=1}^n a_{ni}X_{ni}\rightarrow0$ in probability if and only if $sum_{i=1}^n a_{ni}X_{ni}$ converges completely ot 0.

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The Properties of Photoluminescience and Growth of $CdIn_2Te_4$ Single Crystal ($CdIn_2Te_4$ 단결정 성장과 광발광 특성)

  • 이상열;홍광준
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2003.03a
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    • pp.82-82
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    • 2003
  • p-CdI $n_2$T $e_4$ 단결정을 Bridgeman법으로 3단 수직 전기로에서 성장하였다. 성장된 결정의 결정성은 X선 회절과 광발광 측정으로 조사하였다 막 성장된(as-grown) 결정과 여러 열처리 CdI $n_2$T $e_4$ 결정들의 광발광 스펙트럼 측정으로부터 CdI $n_2$T $e_4$:Cd 광발광에서는 중성 주개 bound 엑시톤 ( $D^{\circ}$,X)가 우세함을 발견하였고 반면에 CdI $n_2$T $e_4$:Cd 광발광에서는 중성 받개 bound 엑시톤 ( $A^{\circ}$,X)가 완전히 사라졌다. 더우기, CdI $n_2$T $e_4$:Te의 광발광 스펙트럼에서 중성 받개 bound 엑시톤 ( $A^{\circ}$,X) 발광은 막 성장된 CdI $n_2$T $e_4$결정에서처럼 우세하였다. 이러한 결과들은 ( $D^{\circ}$,X)가 주개로써 작용하는 $V_{Te}$ ,와 관련이 있고, ( $A^{\circ}$,X)는 받개로 작용하는 $V_{cd}$와 관련이 있음을 가리킨다. p-CdI $n_2$T $e_4$ 결정은 Cd 증기 분위기에서 열처리한 후에는 n형으로 type conversion이 된다는 것을 알았다. 중성 주개-받개 bound 엑시톤 ( $D^{\circ}$, $A^{\circ}$)과 이들의 TO 포논 복제의 발광은 $V_{Te}$ 나 C $d_{int}$와 같은 주개들과 $V_{cd}$ 또는 T $e_{int}$와 같은 받개들 사이의 상호 작용과 관련이 있다. 또한, CdI $n_2$T $e_4$에서 In은 안정된 결합의 형태로 있기 때문에 자연 결함의 형성에는 관련이 없음을 알았다 알았다았다았다

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The Image of Derivations on Banach Algebras of Differential Functions

  • Park, Dal-Won
    • Journal of the Chungcheong Mathematical Society
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    • v.2 no.1
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    • pp.81-90
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    • 1989
  • Let $D:C^n(I){\longrightarrow}M$ be a derivation from the Banach algebra of n times continuously differentiable functions on an interval I into a Banach $C^n(I)$-module M. If D is continuous and D(z) is contained in the k-differential subspace, the image of D is contained in the k-differential subspace. The question of when the image of a derivation is contained in the k-differential subspace is discussed.

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Thermotropic Liquid Crystalline Behavior of [4-{4'-(Nitrophenylazo)phenoxycarbonyl}]alkanoated Celluloses ([4-{4'-(니트로페닐아조)펜옥시카보닐}]알카노화 셀룰로오스들의 열방성 액정 거동)

  • Jeong, Seung-Yong;Ma, Yung-Dae
    • Polymer(Korea)
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    • v.33 no.1
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    • pp.58-66
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    • 2009
  • The thermotropic liquid crystalline behavior of the homologous series of cellulose tri[4-{4'-(nitrophenylazo) phenoxycarbonyl}] alkanoates (NACEn, n=2$\sim$8, 10, the number of methylene units in the spacer) have been investigated. All of the homologoues formed monotropic nematic phases. The isotropic-nematic transition temperature ($T_{iN}$) decreased when n is increased up to 7, but it became almost constant when n is more than 7. The plot of transition entropy at $T_{iN}$ against n had a sharp negative inflection at n=7. The sharp change at n=7 may be attributed to the difference in arrangement of the side groups. The melting temperature ($T_m$) and associated entropy change at $T_m$, in contrast with $T_{iN}$ and associated entropy change at $T_{iN}$, exhibited a distinct odd-even effect, suggesting that the average shape of the side chains in the crystalline phase is different from that in the nematic phase. The thermal stability and degree of order of the nematic phase observed for NACEn were significantly different from those reported for the homologous series of side-chain and combined type liquid crystal polymers bearing azobenzene or biphenyl units in the side chains. The results were discussed in terms of the differences in the chemical structure, the flexibility of the main chain, the mode of chemical linkage of the side group with the main chain, and the number of the mesogenic units per repeating unit.

Application of Exchange Equations for NH4-K NH4-Ca Equilibria (NH4-K 와 NH4-Ca 평형에 대한 양이온 치환식의 적용)

  • Chung, Jong-Bae;Sa, Tong-Min
    • Korean Journal of Soil Science and Fertilizer
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    • v.28 no.3
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    • pp.218-226
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    • 1995
  • Ion exchange equilibria in bulk and rhizosphere soil collected from peach seedlings were studied to find exchange equations that could be used in chromatographic models dealing with movement and distribution of fertilizer ammonium and exchangeable cations in soil profiles. Soil samples were equilibrated with mixtures of $NH_4Cl$, KCI, and $CaCl_2$ solutions and then extracted with $Sr(NO_3)_2$ solution to determine exchangeable cation compositions at equilibrium. Exchange data were fitted to Vanselow's, Gapon's, and Kerr's equations, but those formulations did not adequately describe the equilibria. An empirical equation of the form : ${\frac{\alpha_i^m}{a_j^n}}=K{\frac{(iX)^{mPi}}{(jX)^{nPj}}}$ which has an exponent on each of the exchangeable cation concentrations could describe the equilibria very well over the range of treatments. In this equation ${\alpha}^i$ and ${\alpha}^j$ are activities of cation i and j with valences m and n respectively. (iX) and (jX) are concentrations of exchangeable cations. Mole or equivalent fractions can be considered as the exchangeable ion concentration unit. Arbitrary constants $P_i$ and $P_j$, and distribution coefficient K can be found with multiple regression for the logarithmic form of the equation.

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Mucosal Mast Cell Responses in the Small Intestine of C3H/HeN and BALB/c Mice Infected with Echinostoma hortense

  • Ryang, Yong-Suk;Im, Jee-Aee;Kim, In-Sik;Kim, Keun-Ha
    • Biomedical Science Letters
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    • v.9 no.3
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    • pp.145-150
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    • 2003
  • In the intestinal mucosa, mast cells are thought to be responsible for the expulsion of parasites. We investigated the relationship of worm expulsion and mast cells in C3H/HeN and BALB/c mice infected with Echinostoma hortense. In addition, we examined whether the worm recovery rate was associated with the strain of mice, and whether a toluidine stain and immunohistochemistry using the c-kit antibody was effective in the detection of mast cells. In order to investigate the mucosal immune response of C3H/HeN and BALB/c mice, each mouse was infected orally with 30 E. hortense metacercariae. Then, the number of mucosal mast cells and worm recovery rates was observed in experimentally infected mouse strains between 1 week and 8 weeks post infection (PI). Mucosal mast cells were increased in 3 weeks P.I. in C3H/HeN and BALB/c mice. On the other hand, only mucosal goblet cells and worm recovery rates correlated in C3H/HeN mice (P=0.0482). Worm recoveries in C3H/HeN mice were 65.7$\pm$5.6, 53.3$\pm$5.4 and 6.7$\pm$0.6 in week 1, 2, and 3 P.I. and strongly decreased in week 3 P.I. Worm recoveries in BALB/c mice were 23.0$\pm$2.5, 10.0$\pm$1.0, and 6.7$\pm$0.6% in week 1, 2, and 3 P.I. and gradually decreased from week 1 P.I. to week 3 P.I. Worm recoveries in C3H/HeN mice were significantly higher than in BALB/c mice (P<0.00l). The number of mast cells in C3H/HeN and BALB/c mice using the anti-c-kit antibody reached to a peak in week 3 P.I. and recovered as normal level in week 5 P.I. and 6 P.I. The number in E. hortense-infected C3H/HeN mice (P=0.0015) was higher than in E. hortense-infected BALB/c mice (P=0.01) compared with the control group. There were significant differences in the number of mast cells among regions of the intestine in in C3H/HeN mice (P<0.05) but not in BALB/c mice (P>0.05). Immunohistochemistry using the anti-c-kit antibody was significant method as an examination of the number of mast cells (P=0.0002). In conclusion, the present study demonstrated that mast cells play an important role in worm recovery, and immunohistochemistry using the anti-c-kit antibody was superior to toluidine stain as an examination of mast cells.

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Stability of $4-Chloro-{\alpha}-(4-chlorophenyl)-{\alpha}-(trichloromethyl)$ Benzyl Alcohol(Dicofol) in Various Organic Solvents ($4-Chloro-{\alpha}-(4-chlorophenyl)-{\alpha}-(trichloromethyl)$ Benzyl Alcohol(Dicofol)의 각종유기용매중(各種有機溶媒中)에서의 안정성(安定性))

  • Shin, Hyeon-Hwa;Hong, Jong-Uck
    • Applied Biological Chemistry
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    • v.25 no.3
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    • pp.177-181
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    • 1982
  • This experiment was carried out to investigate the stability of Dicofol solutions which were prepared with various organic solvents such as xylene, toluene, methylisobutyl ketone (M.I.B.K.), cyclohexanone, N.N.-dimetyl formamide (N.N.-D.M.F.) and isophorone under different temperature and storage period. The decomposition rate of Dicofol was increased in the order of cyclohexanone> N.N.-D.M.F.>W.P.>toluene, xylene, M.I.B.K. and isophorone. However, it was shown that precipitation was found in Dicofol solutions such as xylene, toluene and M.I..B.K. except isophorone. Therefore, isophorone was recognized as the best of organic solvents tested for Dicofol in the case of emulsifiable concentrate formulation with it.

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Magnetic field dependence of critical current and index n in a Bi-2223/Ag superconductor tape (Bi-2223/Ag 초전도 선재에서 임계전류와 인덱스의 자계의존성)

  • Kim Jung Ho;Kim Kyu Tae;Lim Jun Hyung;Jang Seok Hern;Rho Yun Bong;Joo Jinho;Choi Seyong;Nah Wansoo;Hong Gye-Won
    • Progress in Superconductivity
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    • v.6 no.1
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    • pp.79-83
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    • 2004
  • We fabricated Bi-2223/Ag superconductor tape with 55 filaments and estimated the magnetic field dependence of critical current (I$_{c}$) and index n (n) up to 30 T at 4.2 K. The I$_{c}$ and n were characterized as a function of external magnetic field parallel to the tape surface on increasing and decreasing field, using a 35 T hybrid magnet. The $I_{c}$ was estimated to be 325 A, and n was 32, 22, and 26 in the electric field range of $0.1 ∼1\mu$V/cm, 1∼10 $\mu$V/cm, and 0.1∼10 $\mu$V/cm, respectively, under self-field at 4.2 K. It was observed that $I_{c}$ was dependent on magnitude of magnetic field and it decreased exponentially as the field increased; in a parallel and increasing field, It was 128 A at 30 T which is approximately 40% of critical current in self-field. In addition, the $I_{c}$ was higher on decreasing field than that on increasing one. On the other hand, n did not significantly depend on field strength up to 30 T, nor varied on whether increasing or decreasing field; n value in 0.1∼1 $\mu$V/cm was 23.0$\pm$5.2 and 27.8$\pm$8.0 on increasing and decreasing field, respectively. The n value on decreasing magnetic field was slightly higher than that on increasing field. This hysteretic behavior of n was similar to that of$ I_{c}$, which is related to the trapped flux at the grain boundary.ary.

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Red Ginseng Ethanol Extract Suppressed Ag I/II-induced Up-expression of Inflammatory Mediators in RAW 264.7 Macrophages (홍삼에탄올추출물의 염증유발인자에 대한 억제효과)

  • Choi, Kyung-Min;Hwang, Seung-Mi;Lim, Ji-Ye;Ko, Eun-Sil;Park, Jong-Hyuk;Moon, Jung-Hye;Lee, Min-Jung;Jang, Ji-Eun;Cha, Jeong-Dan
    • Microbiology and Biotechnology Letters
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    • v.43 no.2
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    • pp.158-163
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    • 2015
  • In this study, we investigated the effects of 40% ethanol extract of Red Ginseng (RGE) on the productions of inflammatory proteins in Antigen I/II (Ag I/II)-N, a recombinant protein isolated from Streptococcus mutans -stimulated in RAW 264.7 cells. RGE inhibited the expression of Ag I/II-N-induced pro-inflammatory mediators, both mRNA and protein synthesis levels, without any cytotoxic effects. Moreover, RGE significantly inhibited Ag I/II-N induced NF-κB translocation into the nucleus by preventing the degradation of inhibitor κB-α. In conclusion, RGE down regulates the expression of pro-inflammatory genes involved in the synthesis of NO and iNOS in Ag I/II-N-stimulated RAW 264.7 cells by suppressing NF-κB activity.

Elevated Cellular Retinoic Acid Binding Protein-I in Cerebrospinal Fluid of Patients with Hemorrhagic Cerebrovascular Diseases : Preliminary Study

  • Jeon, Jin Pyeong;Cho, Won-Sang;Kang, Hyun-Seung;Kim, Jeong Eun;Kim, Seung-Ki;Oh, Chang Wan
    • Journal of Korean Neurosurgical Society
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    • v.57 no.2
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    • pp.88-93
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    • 2015
  • Objective : Elevated cellular retinoic acid binding protein-I (CRABP-I) is thought to be related to the abnormal proliferation and migration of smooth muscle cells (SMCs). Accordingly, a higher CRABP-I level could cause disorganized vessel walls by causing immature SMC phenotypes and altering extracellular matrix proteins which could result in vulnerable arterial walls with inadequate responses to hemodynamic stress. We hypothesized that elevated CRABP-I level in the cerebrospinal fluid (CSF) could be related to subarachnoid hemorrhage (SAH). Moreover, we also extended this hypothesis in patients with vascular malformation according to the presence of hemorrhage. Methods : We investigated the CSF of 26 patients : SAH, n=7; unruptured intracranial aneurysm (UIA), n=7; arteriovenous malformation (AVM), n=4; cavernous malformation (CM), n=3; control group, n=5. The optical density of CRABP-I was confirmed by Western blotting and presented as mean${\pm}$standard error of the measurement. Results : CRABP-I in SAH ($0.33{\pm}0.09$) was significantly higher than that in the UIA ($0.12{\pm}0.01$, p=0.033) or control group ($0.10{\pm}0.01$, p=0.012). Hemorrhage presenting AVM (mean 0.45, ranged 0.30-0.59) had a higher CRABP-I level than that in AVM without hemorrhage presentation (mean 0.16, ranged 0.14-0.17). The CRABP-I intensity in CM with hemorrhage was 0.21 and 0.31, and for CM without hemorrhage 0.14. Overall, the hemorrhage presenting group (n=11, $0.34{\pm}0.06$) showed a significantly higher CRABP-I intensity than that of the non-hemorrhage presenting group (n= 10, $0.13{\pm}0.01$, p=0.001). Conclusion : The results suggest that elevated CRABP-I in the CSF could be related with aneurysm rupture. Additionally, a higher CRABP-I level seems to be associated with hemorrhage development in vascular malformation.