• Title/Summary/Keyword: N-complex

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SOME EXAMPLES OF HYPERBOLIC HYPERSURFACES IN THE COMPLEX PROJECTIVE SPACE

  • Fujimoto, Hirotaka
    • Journal of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.595-607
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    • 2003
  • In the previous paper [6], the author constructed hyperbolic hypersurfaces of degree $2^{n}$ in the n-dimensional complex projective space for every $n\;\geq\;3$. The purpose of this paper is to give some improvement of this result and to show some general methods of constructions of hyperbolic hypersurfaces of higher degree, which enable us to construct hyperbolic hypersurfaces of degree d in the n-dimensional complex projective space for every $d\;\geq\;2\;{\times}\;6^{n}$.

Perfect State of Microsporum gypseum Complex Isolated from Animals and Soils (동물과 토양에서 분리한 Microsporum gypseum complex의 완전형)

  • Lee, Hun-jun;Choi, Won-pil
    • Korean Journal of Veterinary Research
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    • v.28 no.1
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    • pp.115-118
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    • 1988
  • Mating experiments were performed to, elucidate the distribution of perfect state of Microsporum gypseum complex originated from animals and soils in Korea. A total of 30 strains of M. gypseum complex, composed of 16 from animals and 14 from soils, ere mated with the tester strains of Nannizzia incurvata, N. gypsea and N. fulva. Among 30 strains of M. gypseum complex examined, 16 strains(53.3%) were N. incurvata, 13 strains(43.3%) N. gypsea and 1 strain (3.3%) N. fulva. Among 13 strains of dog isolates, 8 strains(61.5%) were N. incurvata and 5 strains(38.5%) N. gypsea. And each strain isolated from Korean native goat, monkey and albino rat was N. gypsea. Among 14 strains of soil isolates, 8 strains(57.2%) were N. incurvata, 5 strains (35.7%) N. gypsea and 1 strain(7.2%) N. fulva. And -mating type was more frequently observed than +mating type in the strains of N. incurvata and N. gypsea. By this study, N. fulva was isolated the first time in Korea.

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A NOTE ON DERIVATIONS OF A SULLIVAN MODEL

  • Kwashira, Rugare
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.279-286
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    • 2019
  • Complex Grassmann manifolds $G_{n,k}$ are a generalization of complex projective spaces and have many important features some of which are captured by the $Pl{\ddot{u}}cker$ embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$ where $N=\(^n_k\)$. The problem of existence of cross sections of fibrations can be studied using the Gottlieb group. In a more generalized context one can use the relative evaluation subgroup of a map to describe the cohomology of smooth fiber bundles with fiber the (complex) Grassmann manifold $G_{n,k}$. Our interest lies in making use of techniques of rational homotopy theory to address problems and questions involving applications of Gottlieb groups in general. In this paper, we construct the Sullivan minimal model of the (complex) Grassmann manifold $G_{n,k}$ for $2{\leq}k<n$, and we compute the rational evaluation subgroup of the embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$. We show that, for the Sullivan model ${\phi}:A{\rightarrow}B$, where A and B are the Sullivan minimal models of ${\mathbb{C}}P^{N-1}$ and $G_{n,k}$ respectively, the evaluation subgroup $G_n(A,B;{\phi})$ of ${\phi}$ is generated by a single element and the relative evaluation subgroup $G^{rel}_n(A,B;{\phi})$ is zero. The triviality of the relative evaluation subgroup has its application in studying fibrations with fibre the (complex) Grassmann manifold.

Protective Effect of ACTIValoe N-931 Complex, a Mixture of Aloe vera and Silybum marianum, on Experimental Acute Liver Injury

  • Moon, Young-Joo;Cheon, Ho-Jun;Lee, Woo-Cheol;Kim, Hyo-Yeon;Oh, Sun-Tack;Shin, Eun-Ju;Shim, Kyu-Suk;Lee, Sun-Mee
    • Biomolecules & Therapeutics
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    • v.16 no.3
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    • pp.203-209
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    • 2008
  • The aim of this study was to investigate the hepatoprotective effect of $ACTIValoe^{(R)}$ N-931 complex, a mixture of Aloe vera and Silybum marianum, against acute liver injuries. Acute liver damages were induced by intraperitoneal injection of galactosamine (GalN, 700 mg/kg), naphthylisothiocyanate (ANIT, 40 mg/kg) and ethionine (500 mg/kg). $ACTIValoe^{(R)}$ N-931 (85, 170 and 340) was administered orally 48 h, 24 h, 2 h before and 6 h after the injection of hepatotoxins. At 24 h after GalN treatment the levels of serum aminotransferases and hepatic lipid peroxidation were significantly elevated, whereas hepatic glutathione, serum triglyceride (TG) and total cholesterol were decreased. These changes were attenuated by $ACTIValoe^{(R)}$ N-931 complex. The serum aminotransferase activities and total bilirubin significantly increased at 48 h after ANIT treatment, but were attenuated by $ACTIValoe^{(R)}$ N-931 complex. The bile flow was lower after ANIT treatment, which was restored by $ACTIValoe^{(R)}$ N-931 complex. $ACTIValoe^{(R)}$ N-931 complex reduced the ethionine-induced elevated hepatic TG contents. Histopathological analysis revealed that signs of liver injury were prominent at 24 h as result of ethionine injection, demonstrated by extensive areas of fatty change and microvesicular steatosis were observed around cells. These changes were attenuated by $ACTIValoe^{(R)}$ N-931 complex. Our results suggest that the $ACTIValoe^{(R)}$ N-931 complex has a protective effect on acute liver injury.

Theoretical Study of the Structures and Binding Energies of Ca+-(CO)n and Ca+-(CO2)n (n=1,2) (Ca+-(CO)n과 Ca+-(CO2)n (n=1,2)의 구조와 결합에너지에 대한 이론 연구)

  • Park, Gil-Soon;Sung, Eun-Mo
    • Journal of the Korean Chemical Society
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    • v.53 no.3
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    • pp.272-278
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    • 2009
  • The optimized structures and vibrational frequencies for $Ca^+-(CO)_n$ and $Ca^+-(CO_2)_n$ (n=1,2) complexes were calculated with MP2 and B3LYP methods employing 6-311++G(2d,p) basis sets. Also the binding energies were investigated for all complexes to compare the stabilities. For $Ca^+-(CO)_n$ C-bonded complexes are more stable than O-bonded complexes. Two stable conformations, linear and $C_{2v}$ form, are possible for $Ca^+-(CO)_2$ complexes and the $C_{2v}$ form is more stable than the linear form. $Ca^+-(CO_2)_2$ also has two possible conformations and linear form has slightly lower energy than $C_{2v}$ form.

Preparation of $\etha$-N-[(2-Chloroethyl) nitrosocarbamoyl]-L-lysine ($\etha$-N-[(2-Chloroethyl) nitrosocarbamoyl]-L-lysine의 합성)

  • 김정균;조인섭
    • YAKHAK HOEJI
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    • v.27 no.2
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    • pp.177-179
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    • 1983
  • A copper complex of $\epsilon$-N-[(2-chloroethyl)carbamoyl]-L-lysine was prepared by the treatment of the L-lysine copper complex with 2-chloroethyl isocyanate in cold water. Within the L-lysine copper complex molecule, the $\alpha-amino$ and carboxyl groups are bounded to $Cu^{2+}$ but the $\epsilon-amino$ group is free and can react with carbamoylating agents. A potential antitumor agent, $\epsilon-N-[(2-chloroethyl)$ nitrosocarbamoyl]-L-lysine was synthesized by nitrosation of this copper complex with Na $NO_{2}$ in anhydrous formic acid, followed by the passage of $H_{2}$S gas.

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SIX DIMENSIONAL ALMOST COMPLEX TORUS MANIFOLDS WITH EULER NUMBER SIX

  • Donghoon Jang;Jiyun Park
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.557-584
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    • 2024
  • An almost complex torus manifold is a 2n-dimensional compact connected almost complex manifold equipped with an effective action of a real n-dimensional torus Tn ≃ (S1)n that has fixed points. For an almost complex torus manifold, there is a labeled directed graph which contains information on weights at the fixed points and isotropy spheres. Let M be a 6-dimensional almost complex torus manifold with Euler number 6. We show that two types of graphs occur for M, and for each type of graph we construct such a manifold M, proving the existence. Using the graphs, we determine the Chern numbers and the Hirzebruch χy-genus of M.

Synthesis of (N-docosyl Pyridinium)-TCNQ (1:1) complex and Fabrication of Langmuir-Blodgett Ultra Thin Films ((N-docosyl pyridinium)-TCNQ(1 : 1) 착체의 합성과 Langmur-Blodgett 초박막 제작)

  • Sohn, Byoung-Chung;Jeong, Soon-Wook
    • Journal of the Korean Applied Science and Technology
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    • v.6 no.2
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    • pp.39-44
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    • 1989
  • (N-docosyl pyridinium)-TCNQ(1:1) complex was synthesized by reacting N-docosyl pyridinium bromide and LiTCNQ. This complex was investigated and confirmed by elemental analysis. U.V, I.R spectra. A stability to the dispersion solvent, which is acetonitrile, dichloromethane, benzene, chloroform and acetonitrile-benzene (1:1, V/V) of (N-docosyl pyridinium)-TCNQ(1:1) complex was investigated by U. V spectrophotometer and was confirmed stabilized on acetonitrile, benzene and acetonitrile-benzene(1:1'V/V) for 7 hours. Using ultra pure water as subphase for L-B film deposition, the Y-type L-B film of (N-docosyl pyridinium)-TCNQ(1:1) complex was farbricated. The electrical conductivities on a perpendicular direction of the L-B film were measured to be $5{\times}10^{-5}{\sim}5{\times}10^{-14}$S/cm according to the number of layer.