• Journal of the Korean Mathematical Society
• /
• v.53 no.2
• /
• pp.331-346
• /
• 2016

The primary aim of this paper is to generalize a theorem of Hirzebruch for the complex 2-dimensional Bott manifolds, usually called Hirzebruch surfaces, to more general Bott towers of height n. To do so, we first show that all complex vector bundles of rank 2 over a Bott manifold are classified by their total Chern classes. As a consequence, in this paper we show that two Bott manifolds $B_n({\alpha}_1,{\ldots},{\alpha}_{n-1},{\alpha}_n)$ and $B_n({\alpha}_1,{\ldots},{\alpha}_{n-1},{\alpha}_n^{\prime})$ are isomorphic to each other, as Bott towers if and only if both ${\alpha}_n{\equiv}{\alpha}_n^{\prime}$ mod 2 and ${\alpha}_n^2=({\alpha}_n^{\prime})^2$ hold in the cohomology ring of $B_{n-1}({\alpha}_1,{\ldots},{\alpha}_{n-1})$ over integer coefficients. This result will complete a circle of ideas initiated in [11] by Ishida. We also give some partial affirmative remarks toward the assertion that under certain condition our main result still holds to be true for two Bott manifolds just diffeomorphic, but not necessarily isomorphic, to each other.

• Korean Journal of Food Science and Technology
• /
• v.32 no.3
• /
• pp.564-569
• /
• 2000

An enzyme-linked immunosorbent assay(ELISA) was developed for the detection of milk proteins in processed foods. The ${\alpha}_{s1}-casein({\alpha}_{s1}-CN)$, a heat stable major milk protein, was immunized into rabbits to produce specific antibodies. When competitive indirect ELISA(ciELISA) using $anti-{\alpha}_{s1}-CN$ antibodies was established, its detection limit was $0.1\;{\mu}g/mL$. The reactivities of the specific antibodies toward ${\alpha}_{s1}-CN$, skim milk, ${\beta}-CN$ and whey protein isolate(WPI) were 100, 37, 0.14 and 0.04%, respectively, as determined by ciELISA. However $anti-{\alpha}_{s1}-CN$ antibodies did not have any reactivity to other milk proteins such as ${\beta}-lactoglobulin,\;{\alpha}-lactalbumin$, bovine serum albumin, and isolated soy protein. When sandwich ELISA was established, its detection limit was $0.01\;{\mu}g/mL$ which was 10 times more sensitive than that of ciELISA. In the spike test which was performed by adding 1-10% of whole CN to market milk, mean assay recovery as determined by sandwich ELISA was 94.8%(CV, 8.2%). Food stuffs and dairy products were assayed by sandwich ELISA to show 29, 0.13, 0.25, and 6.9% of whole CN in skim milk powder, WPI, semi-solid yoghurt, and processed cheese, respectively.

• Journal of Korea Water Resources Association
• /
• v.31 no.4
• /
• pp.459-467
• /
• 1998

The existing methods to analyze the heterogeneous porous media based on the similar media concept are the microscopic Miller similitude(MiS), the macroscopic Miller similitude(MaS) and the Warrick similitude(WS). The inter-relationship is found such that MiS ⊂ MaS ⊂ (⊂:subset). The proposed method is based ont eh assumption that the scale variables $\alpha$=w and the moisture content is dimensionless by introducing the effective degree of saturation instead of the degree of saturation into WS. The method, without the loss of generality in view of the inspectional analysis, can explain the heterogeneity of the media by using the scale variable $\alpha$ only. The media of $\alpha$=1 (average of $\alpha$) means the equivalent media corresponding to the heterogeneous media, while the standard deviation of $\alpha$ may explain the degree of the heterogeneity of the media under consideration. The hydraulic conductivity of the media with $\alpha$>1 is greater than that of the equivalent media, and the effective moisture content of the media with $\alpha$>1 is also greater. Based on these properties of the scale variable $\alpha$, the ideal vertical one-dimensional heterogeneous porous media is generated by using the technique of random number generation.

• Tuberculosis and Respiratory Diseases
• /
• v.45 no.6
• /
• pp.1167-1177
• /
• 1998

Background : Pulmonary tuberculosis is one of the diseases characterized granuloma formation which was controlled by cellular immune reactions. In the process of granulomatous changes, activated alveolar macrophages and T lymphocytes secrete many cytokines including interleukin-1 (IL-1), tumor necrosis factor-alpha(TNF-$\alpha$), interferon-gamma(IFN-$\gamma$) which mediate inflammatory reactions. Intercelluar adhesion molecule-1(ICAM-1) also known to major role player in inflammatory processes, and increased cellular expressions when endothelial cell was stimulated by IL-1, TNF and IFN. Method : To evaluate relationships among cellular immune reactions and clinical stages, pulmonary tuberculosis patients were classified into three groups according to their clinical stages including minimal, moderate and far advanced tuberculosis. TNF-$\alpha$ IFN-$\gamma$, sICAM-1 (soluble form of ICAM-1) were measured at the time of diagnosis and after 6-months anti-tuberculosis medications by radioimmuno assay or enzyme linked immunosolvent assay. Result : TNF-$\alpha$, IFN-$\gamma$, sICAM-1 were significantly increased in moderate and far advanced pulmonary tuberculosis patients but no meaningful changes in minimal staged patients. 6-months anti-tuberculosis medications reduced serum sICAM-1 levels significantly, related to clinical improvement but no significant changes were found in the serum levels of TNF-$\alpha$ and IFN-$\gamma$. In the point of correlations. positive ones revealed between TNF-$\alpha$ and sICAM-1, also between IFN-$\gamma$ and sICAM-1 but no correlation between TNF-$\alpha$ and IFN-$\gamma$. Conclusion : Measurement of serum sICAM-1 could be useful parameter to evaluate the severity of pulmonary tuberculosis and to monitor disease activities during anti-tuberculosis medications.

• East Asian mathematical journal
• /
• v.31 no.1
• /
• pp.103-107
• /
• 2015

We use some known contiguous function relations for $_2F_1$ to show how simply the following three recurrence relations for Jacobi polynomials $P_n^{({\alpha},{\beta)}(x)$: (i) $({\alpha}+{\beta}+n)P_n^{({\alpha},{\beta})}(x)=({\beta}+n)P_n^{({\alpha},{\beta}-1)}(x)+({\alpha}+n)P_n^{({\alpha}-1,{\beta})}(x);$ (ii) $2P_n^{({\alpha},{\beta})}(x)=(1+x)P_n^{({\alpha},{\beta}+1)}(x)+(1-x)P_n^{({\alpha}+1,{\beta})}(x);$ (iii) $P_{n-1}^{({\alpha},{\beta})}(x)=P_n^{({\alpha},{\beta}-1)}(x)+P_n^{({\alpha}-1,{\beta})}(x)$ can be established.

• Bulletin of the Korean Chemical Society
• /
• v.31 no.11
• /
• pp.3304-3308
• /
• 2010

Condensation of 4-amino-5-mercapto-3-($\alpha$-naphthyl)-s-triazole (1) with cyanogen bromide gives 6-amino-3-($\alpha$-naphthyl)-s-triazolo[3,4-b]-1,3,4-thiadiazole (2) which on condensation with chloranil yields 3,9-di-($\alpha$-naphthyl)-6,14-dioxo-bis-(s-triazolo[3,4-b]-1,3,4-thiadiazolo[3,2-b]imidazo[4,5-b]cyclohexane]-5a,6a-diene) (3). 3-($\alpha$-naphthyl)-s-triazolo[3,4-b]-1,3,4-thiadiazolo[3,2-b]imidazo[4,5-b]quinoxaline (4) is obtained by a similar condensation of (2) with 2,3-dichloroquinoxaline. The reaction of (2) with $\alpha$-haloketones followed by bromination affords 7-aryl-3-($\alpha$-naphthyl)-imidazo[2,1-b]-1,3,4-thiadiazolo[2,3-c]-s-triazoles (5) and their 6-bromo analogues 6 respectively. The structures of all newly synthesized compounds were established on the basis of elemental analyses, IR, $^1H$-NMR. The antibacterial and antifungal activities of all newly synthesized compounds have also been evaluated.

• Microbiology and Biotechnology Letters
• /
• v.21 no.3
• /
• pp.263-268
• /
• 1993

Seventeen strains were isolated from soil, cattle rumen, cereal sewage dregs, insect on agar plate containing insoluble glucan as a sole carbon source from immobilized Streptococcus mutans, which produced alpha-1,3 glucanase for lysis of dental plaque. Among these strains isolated from soil, SW-522 and SW-713 that had appeared to produce the high level of alpha-1,3 glucanase, degraded insoluble glucan from S. mutans 97.6% and 49.4%, respectively in 5 hours. The activity of crude alpha-1,3 glucanase from SW-522 was 1.3mg insoluble glucan/min.mg protein. This enzyme was entirely degraded insoluble glucan on glass tube which produced by S. mutans in TH medium with 5% sucrose.

• Kyungpook Mathematical Journal
• /
• v.45 no.1
• /
• pp.95-103
• /
• 2005

The present paper deals with Lorentzian ${\alpha}-Sasakian$ manifolds with conformally flat and quasi conform ally flat curvature tensor. It is shown that in both cases, the manifold is locally isometric with a sphere $S^{2^{n}+1}(c)$. Further it is shown that an Lorentzian ${\alpha}-Sasakian$ manifold with R(X, Y).C = 0 is locally isometric with a sphere $S^{2^{n}+1}(c)$, where c = ${\alpha}^2$.

• Bulletin of the Korean Chemical Society
• /
• v.31 no.6
• /
• pp.1551-1554
• /
• 2010

Two diastereomeric chiral stationary phases (CSPs) were applied to the liquid chromatographic resolution of various racemic ${\alpha}$-amino methyl esters, ${\alpha}$-amino N,N-diethylamides and ${\alpha}$-amino N-propylamides. The CSP incorporating (R)-3,3'-diphenyl-1,1'-binaphtyl and (R,R)-tartaric acid unit as chiral barriers did not show any chiral recognition. In contrast, the CSP incorporating (R)-3,3'-diphenyl-1,1'-binaphtyl and (S,S)-tartaric acid unit as chiral barriers was found to show excellent chiral recognition especially for the two enantiomers of ${\alpha}$-amino N-propylamides. Some of ${\alpha}$-amino methyl esters and ${\alpha}$-amino N,N-diethylamides were also resolved on the CSP incorporating (R)-3,3'-diphenyl-1,1'-binaphtyl and (S,S)-tartaric acid unit. From these results it was concluded that the two chiral units composing the diastereomeric CSPs can show "matched" or "mismatched" effect on the chiral recognition according to their absolute stereochemistry.

• Microbiology and Biotechnology Letters
• /
• v.14 no.5
• /
• pp.359-363
• /
• 1986

S. diastaticus hydrolysised $\alpha$-1.4 linkage of the starch and was known fermenting yeast strain, but poorly hydrolized $\alpha$-1.6 linkage of the starch. To improve the starch fermentation ability of yeast, we tried that protoplast fusion between S. diastaticus and C. tropicalis and finally two starins of fusant (FPDC42, FPDC43) were obtained. C. tropicalis well hydrolysis both $\alpha$-1.4 and $\alpha$-1.6 linkanges in the starch. The protoplast of parental auxotrophic cells were fused in the presence of 10mM CaCl$_2$ and 35% of polyethylene glycol (M. W. 4,000). The fusion frequency was 10$^{-5}$ to 10$^{-6}$. Properties of the fusants(genetic stability, assimilation of carbon sources, random spore formation, copper resistance, NaCl tolerance, DNA content, cell size and growth rate) were investigated.