• Journal of the Korean Mathematical Society
• /
• v.52 no.4
• /
• pp.751-763
• /
• 2015

Let ${\alpha}$ be a positive integer, and let $p_1$, $p_2$ be two distinct prime numbers with $p_1$ < $p_2$. By using elementary methods, we give two equivalent conditions of all even near-perfect numbers in the form $2^{\alpha}p_1p_2$ and $2^{\alpha}p_1^2p_2$, and obtain a lot of new near-perfect numbers which involve some special kinds of prime number pairs. One kind is exactly the new Mersenne conjecture's prime number pair. Another kind has the form $p_1=2^{{\alpha}+1}-1$ and $p_2={\frac{p^2_1+p_1+1}{3}}$, where the former is a Mersenne prime and the latter's behavior is very much like a Fermat number.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.4
• /
• pp.911-927
• /
• 2019

Let $\mathscr{B}^{{\eta},{\mu}}_{p,n}\;({\alpha});\;({\eta},{\mu}{\in}{\mathbb{R}},\;n,\;p{\in}{\mathbb{N}})$ denote all functions f class in the unit disk ${\mathbb{U}}$ as $f(z)=z^p+\sum_{k=n+p}^{\infty}a_kz^k$ which satisfy: $$\|\[{\frac{f^{\prime}(z)}{pz^{p-1}}}\]^{\eta}\;\[\frac{z^p}{f(z)}\]^{\mu}-1\| <1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. And $\mathscr{M}^{{\eta},{\mu}}_{p,n}\;({\alpha})$ indicates all meromorphic functions h in the punctured unit disk $\mathbb{U}^*$ as $h(z)=z^{-p}+\sum_{k=n-p}^{\infty}b_kz^k$ which satisfy: $$\|\[{\frac{h^{\prime}(z)}{-pz^{-p-1}}}\]^{\eta}\;\[\frac{1}{z^ph(z)}\]^{\mu}-1\|<1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. In this paper several sufficient conditions for some classes of functions are investigated. The authors apply Jack's Lemma, to obtain this conditions. Furthermore, sufficient conditions for strongly starlike and convex p-valent functions of order ${\gamma}$ and type ${\beta}$, are also considered.

• YAKHAK HOEJI
• /
• v.51 no.1
• /
• pp.44-50
• /
• 2007

Acute septic shock is one of inflammatory diseases mediated by pro-inflammatory cytokines such as tumor necrosis factor (TNF)-${\alpha}$. In this study, we examined the pathological difference and mechanism of lipopolysaccharides isolated from E. coli (E-LPS) or S. abortus (S-LPS) on inducing acute septic shock in ICR mouse. All mice were died by intraperitoneal treatment of S-LPS with 0.75 mg/kg, whereas E-LPS treated with even 3 mg/kg only showed 30% of mice lethal, indicating that S-LPS may be more feasible in triggering a strong septic shock condition. The secretion pattern of TNF-${\alpha}$, a critical pro-inflammatory cytokine in septic shock condition, was also distinct between E-LPS- and S-LPS-treated groups. Thus, S-LPS strikingly increased serum level of TNF-${\alpha}$ (6 ng/ml) at 1 h, while E-LPS just displayed at 2 ng/ml level. However the interaction of S-LPS with LPS receptor toll like receptor (TLR)-4, was not stronger than that of E-LPS, according to experiments with macrophage cell line RAW264.7 cells. Thus, E-LPS rather than S-LPS strongly enhanced the production of TNF-${\alpha}$. Interestingly, S-LPS more strongly up-regulated splenocyte proliferation, compared to E-LPS group, whereas there was no difference between S- or E-LPS treated groups in proliferation of Balb/c- or C57BL/6-originated splenic lymphocytes. Therefore, our data suggest that S-LPS is a more active endotoxin and that the strong septic shock-inducing effect of S-LPS seems due to the enhancement of early TNF-${\alpha}$ production and S-LPS-sensitive lymphocyte proliferation.

• Korean Journal of Mathematics
• /
• v.19 no.3
• /
• pp.331-342
• /
• 2011

We consider the multiplicity of the solutions for a class of a system of critical growth beam equations with periodic condition on t and Dirichlet boundary condition $$\{u_{tt}+u_{xxxx}=av+\frac{2{\alpha}}{{\alpha}+{\beta}}u_{+}^{{\alpha}-1}v_{+}^{\beta}+s{\phi}_{00}\;\;in\;(-\frac{\pi}{2},\;\frac{\pi}{2}){\times}R,\\u_{tt}+v_{xxxx}=bu+\frac{2{\alpha}}{{\alpha}+{\beta}}u_{+}^{\alpha}v_{+}^{{\beta}-1}+t{\phi}_{00}\;\;in\;(-\frac{\pi}{2},\;\frac{\pi}{2}){\times}R,$$ where ${\alpha}$, ${\beta}$ > 1 are real constants, $u_+=max\{u,0\}$, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_00=1$ of the eigenvalue problem $u_{tt}+u_{xxxx}={\lambda}_{mn}u$. We show that the system has a positive solution under suitable conditions on the matrix $A=\(\array{0&a\\b&0}\)$, s > 0, t > 0, and next show that the system has another solution for the same conditions on A by the linking arguments.

• The Microorganisms and Industry
• /
• v.18 no.1
• /
• pp.28-32
• /
• 1992

pullulan은 maltotriose를 기본 단위로 하여 .alpha.(1.rarw.4), .alpha.(1.rarw.6)결합으로 구성된 일종의 .alpha. glucan으로, 'black yeast'로 알려진 Aureobasidium pullulans에 의해 세포외로 생산되는 다당류이다. pullulan은 다른 다당류에서 볼 수 없는 많은 우수한 성질이 있어, 식품에서 접착, 증점, 안정, 품질 개량 효과등의 이용을 비롯하여, 산소 불투과성 필름, 가식성 필름, 플라스틱 결착제, 코오팅제 등 여러가지 무공해 재료로써 광범위한 분야에 그 이용 가능성이 모색되고 있다. 본 고에서는 A. pullulans를 이용한 pullulan 생산의 연구 현황과 그 특성 및 응용 가능성에 대해 고찰해보고자 한다.

• Journal of the Korean Chemical Society
• /
• v.41 no.9
• /
• pp.465-470
• /
• 1997

A chiral pentadentate ligand, 1,9-bis(S)-prolyl-1,9-dioxo-2,5,8-triaza-nonane, (S,S-prochen) which shows the stereospecific reaction was synthesized from the reaction of S-proline and diethylenetriamine (dien). The red-violet $[Co(SS-prodien)H_2O]ClO_4$ was prepared by the oxidation of the aqueous solution dissolving $CoCl_2{\cdot}6H_2O$ and S,S-prodien. Elemental analysis, electronic absorption spectroscopy, and $^{13}C-NMR$ spectroscopy suggest that the geometrical structure of the Co(III) complex to be an ${\alpha}{\beta}$ (ffm) form, where the dien moiety of the ligand chelates the metal center to comprise a facial isomer, and an aqua ligand coordinates a cis site to the secondary nitrogens of the dien. Based upon the CD spectroscopic analysis, it seems that the absolute configuration of the ${\alpha}{\beta}$(ffm)-$[Co(SS-prodien)H_2O]ClO_4$ has the ${\Lambda}$-form.

• Journal of the Korean Society of Food Science and Nutrition
• /
• v.31 no.6
• /
• pp.1134-1141
• /
• 2002

Adhesion of leukocytes to the activated vascular endothelium and their subsequent recruitment/migration into the artery wall are key features in the pathogenesis of atherosclerosis and inflammatory diseases. These features have been mediated by cell adhesion molecules including vascular cell adhesion molecule-1 (VCAM-1) and in tracellular cell adhesion molecule-1 (ICAM-1). This study examined whether flavonoids inhibit the pro-inflammatory cytokine TNF-$\alpha$-induced monocyte adhesion via a modulation of the protein expression of VCAM-1 and ICAM-1 of human umbilical vein endothelial cells (HUVECs). TNF-$\alpha$ markedly increased the adhesion of THP-1 monocytes to endothelial cells and induced the expression of VCAM-1, ICAM-1 and E-selectin proteins in HUVECs. Micromolar concentrations of the flavones luteolin and apigenin and the flavonol quercetin near completely blocked the monocyte adhesion to the activated endothelial cells and the induction of these adhesion molecules. However, equimicromolar catechins of (-)epigallocatechin gallate and (+)catechin, the flavonol myr- icetin and the flavanones of naringin and hesperidin had no effect on TNF-$\alpha$-activated monocyte adhesion. (-)Epigallocatechin gallate, (+) catechin, and naringin did not attenuate the TNF-$\alpha$ induction of these adhesion molecules. Furthermore, culture with luteolin and apigenin strongly blocked the expression of TNF-$\alpha$-induced VCAM-1 mRNA and modestly attenuated ICAM-1 mRNA. Quercetin modestly decreased the TNF-$\alpha$-activated VCAM-1 and ICAM-1 mRNAs. These results demonstrate that flavonoids classified as flavones and flavonols may inhibit monocyte adhesion to the TNF-$\alpha$-activated endothelium, most likely due to a blockade of expression of functional adhesion molecules down-regulated at the transcriptional level, indicating a definite linkage between the chemical structure of flavonoids and the expression of cell adhesion molecules. Furthermore, the antiathero-genic feature of flavonoids appears to be independent of their antioxidant activity.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
• /
• 1996.11a
• /
• pp.187-190
• /
• 1996

Conducting polymers have band structures similar to those of inorganic semiconductors such as silicon. Several electronic devices have been constructed with conjugated polymers, mainly Schottky diodes and Metal-Insulator-Semiconductor Field-Effect Transistors (MISFET's). Organic semiconductor has been reported as active materials in MISFET's.$^{1.4}$ In our laboratory, $\alpha$-Sexithiencyl ($\alpha$-6T) has been synthesized and purified by sublimation method. In this study, thin films of $\alpha$-Sexithienyl were prepared on various substrates in ultra-high vacuum chamber by vacuum evaporation method, so called OMBD(Organic Molocular Beam Deposition).$^{7.9}$ The $\alpha$-Sexithienyl thin films were deposited with various deposition conditions. The crystalline structure, and molecular orientation of these films have being studied by using UV/Vis. spectroscopy and X-Ray Diffractometry.

• Journal of Embryo Transfer
• /
• v.21 no.3
• /
• pp.177-182
• /
• 2006

This study was conducted to investigate the effects of melengesterol acetate (MGA) and $PGF_{2{\alpha}}$ administrations on serum progesterone level, synchrony of estrus and conception rates in Han-woo. Firstly, ten heifers and one freematin were fed 0.5 mg MGA/day for 14 days in a grain carrier, and after 19 days of MGA feeding, a single injection of 25 mg $PGF_{2{\alpha}}$ were treated. Blood samples were collected to evaluate serum progesterone concentrations from the start of feeding of MGA until the end of feeding and subsequent estrous detection and artificial insemination (AI) at 3 days intervals, and on days of $PGF_{2{\alpha}}$ injection, estrous detection, AI, and 15th and 60th days after AI. The level of progesterone in the blood began to increase from 7 days after MGA feeding, and 9 days after feeding it became 5.4 ng/ml and maintained that level thereafter. On the 33th day when the $PGF_{2{\alpha}}$ was injected, it reached the peak level of 7.6 ng/ml. However, 2-3 days after $PGF_{2{\alpha}}$ injection, it dropped to 1.4 ng/ml drastically (p<0.05). Secondly, one hundred and ninety four Hanwoo heifers or cows were divided into two groups to compare estrous induction and conception rates: the one treated with MGA and $PGF_{2{\alpha}}$, (n=104) and the other with $PGF_{2{\alpha}}$ treatment (two injections at 11 days interval, n=90). The heifers or cows treated with MGA and $PGF_{2{\alpha}}$ were identical to those used as above. The percentages of heifers or cows showed estrus were higher in the $MGA+PGF_{2{\alpha}}$ treatment (91.3%) than in the $PGF_{2{\alpha}}$ treatment (72.2%, p<0.05). Conception rates were also higher in the $MGA+PGF_{2{\alpha}}$ treatment (94.2%) than in the $PGF_{2{\alpha}}$ treatment (88.9%, p<0.05). The results of this experiment indicate that estrus synchronization using $MGA+PGF_{2{\alpha}}$ is more effective than that using $PGF_{2{\alpha}}$ (two injections) in Hanwoo.

• Microbiology and Biotechnology Letters
• /
• v.32 no.2
• /
• pp.128-134
• /
• 2004

A bacterium producing the $\alpha$-galactosidase was isolated from Korean soybean paste. The isolate YB-42 has been identified as Bacillus licheniformis on the basis on its 16S rRNA sequence, morphology and biochemical properties. The $\alpha$-galactosidase activity was detected in both the culture supernatant and the cell extract of B. licheniformis YB-42. The partially purified extracellular $\alpha$-galactosidase was obtained from the culture supernatant by DEAE-Sepharose column and Q-Sepharose column chromatography. The enzyme showed the maximum activity for hydrolysis of para-nitrophenyl-$\alpha$-D-galactopyranoside (pNP-$\alpha$Gal) at pH 6.5 and $45^{\circ}C$. It was able to hydrolyze oligomeric substrates such as melibiose, raffmose and stachyose to liberate galactose residue, indicating that the a-galactosidase of B. licheniformis YB-42 hydrolyzed $\alpha$-1,6 linkage. The hydrolyzing activity of $\alpha$-galactosidase for both pNP-$\alpha$Gal and melibiose was dramatically decreased by galactose. Both glucose and mannose inhibited the activity for pNP-$\alpha$Gal less than galactose.