• Kyungpook Mathematical Journal
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• 제54권4호
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• pp.521-529
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• 2014

In this paper we derive some optimal convex combination bounds related to arithmetic mean. We find the greatest values ${\alpha}_1$ and ${\alpha}_2$ and the least values ${\beta}_1$ and ${\beta}_2$ such that the double inequalities $${\alpha}_1T(a,b)+(1-{\alpha}_1)H(a,b)<A(a,b)<{\beta}_1T(a,b)+(1-{\beta}_1)H(a,b)$$ and $${\alpha}_2T(a,b)+(1-{\alpha}_2)G(a,b)<A(a,b)<{\beta}_2T(a,b)+(1-{\beta}_2)G(a,b)$$ holds for all a,b > 0 with $a{\neq}b$. Here T(a,b), H(a,b), A(a,b) and G(a,b) denote the second Seiffert, harmonic, arithmetic and geometric means of two positive numbers a and b, respectively.

• 한국인터넷방송통신학회논문지
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• 제11권4호
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• pp.157-164
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• 2011

$n=pq$인 합성수 $n$을 $p$와 $q$로 소인수분해하는 것은 매우 어려운 문제이다. 대부분의 소인수분해 알고리즘은 $a^2{\equiv}b^2$ (mode $n$)인 제곱 합동이 되는 ($a,b$)를 찾아 $a^2-b^2=(a-b)(a+b)$ 공식에 의거 유클리드의 최대공약수 공식을 적용하여 $p=GCD(a-b,n)$, $q=GCD(a+b,n)$으로 구한다. 여기서 ($a,b$)를 얼마나 빨리 찾는가에 알고리즘들의 차이가 있다. 제곱합동의 기초가 되는 페르마 알고리즘은 $a^2-b^2=n$을 찾는다. 본 논문은 $a^2-b^2=kn$, ($k=1,2,{\cdots}$)를 찾는 방법을 제안하였다. 제안된 방법에서 $b$는 5의 배수로 $b_1=0$ 또는 5가 반드시 한 개는 존재한다고 가정한다. 첫 번째로, $n_2n_1$에 대해 $b_1=0$와 $b_1=5$을 만족하는 $kn$을 구하여 $k$를 결정한다. 두 번째로, $a^2-b^2=kn$이 되는 $a_2a_1$을 결정한다. 세 번째로, $kn$ < $a^2$ < $(k+1)n$ 범위에 속하는 $\sqrt{kn}$ < $a$ < $\sqrt{(k+1)n}$의 범위를 결정하여 $a_2a_1$ 값들에 대해 $a^2-b^2=kn$으로 ($a,b$)를 구한다. 제안된 알고리즘을 몇 가지 사례에 적용한 결과 페르마 알고리즘에 비해 수행 속도를 현격히 단축시키는 효과를 얻었다.

• Bulletin of the Korean Chemical Society
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• 제8권3호
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• pp.185-189
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• 1987

Reactions of $Ir(ClO)_4(CO)(PPh_3)_2$ with dicyano olefins, cis-NCCH = CH$CH_2$$CH_2$CN (cDC1B), trans-NCCH = CH$CH_2$$CH_2$CN (tDC1B), trans-NC$CH_2$CH = CH$CH_2$CN (tDC2B), and NC$CH_2$$CH_2$$CH_2$$CH_2$CN (DCB) produce binuclear dicationic iridium (I) complexes, $[(CO)(PPh_3)_2Ir-NC-A-CN-Ir(PPh_3)_2(CO)](ClO_4)_2$ (NC-A-CN = cDC1B (1a), tDC1B (1b), tDC2B (1c), DCB (1d)). Complexes 1a-1d react with hydrogen to give binuclear dicationic tetrahydrido iridium (Ⅲ ) complexes, $[(CO)(PPh_3)_2(H)_2Ir-NC-A-CN-Ir(H)_2(PPh_3)_2(CO)](ClO_4)_2$ (NC-A-CN = cDC1B (2a), tDC1B (2b), tDC2B (2c), DCB (2d)). Complexes 2a and 2b catalyze the hydrogenation of cDC1B and tDC1B, respectively to give DCB, while the complex 2c is catalytically active for the isomerization of tDC2B to give cDC1B and tDC1B and the hydrogenation of tDC2B to give DCB at $100^{\circ}C$.

• 동의생리병리학회지
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• 제16권4호
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• pp.680-683
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• 2002

Bovine aortic endothelial cells(BAEC) produce two variant forms of laminin with a subunit composition of AB1B2 and A'B1B2. Analyses of the intracellular assembly of these subunits revealed that the B1B2 dimer formed first, and that A or A' joined to form the AB1B2 or A'B1B2 trimer. Angiostatic steroids shifted the relative size of the A and A' monomer pool in BAEC, and competition between the A and A' subunits in joining the B1B2 dimer produced AB1B2 and A'B1B2 in different ratios. This result suggests that subunit replacement is the general mechanism for producing laminin variants by various cells for tissue morphogenesis. When laminin subunits in BAEC were cross-linked with dithio-bis-succinimidylpropionate(DSP) and immunoprecipitated with anti-Iaminin antiserum, monomeric A,A',B1 and B2 monomers and the B1B2 dimer migrated as extremely large molecules in sodium dodecyl sulfate gel electrophoresis under nonreducing conditions. When the crosslinking disulfide bonds were cleaved under reducing conditions, they migrated as the usual subunits. This result suggests that molecular chaperones were involved in the process of the assembly and replacement of laminin subunits.

• 한국임상약학회지
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• 제24권4호
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• pp.231-239
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• 2014

Background and objective: Pravastatin has been shown to have favorable risk-benefit profile when it is administered to hypercholesterolemic subjects to prevent cardiovascular events. However, subjects with impaired OATP1B1 activity may be more susceptible to pravastatin-induced muscle toxicity than subjects with normal OATP1B1 activity. A systematic review was conducted to evaluate the effect of SLCO1B1 genetic polymorphism on pharmacokinetics of pravastatin. Method: Medline$^{(R)}$ and Embase$^{(R)}$ were searched for relevant studies until July 2013. The search terms used were pravastatin AND (SLCO1B1 OR OATP1B1 OR LST1 OR SLC21A6) AND (gene OR $genetic^*$ OR $genomic^*$ OR $pharmacogenet^*$ OR $pharmacogenom^*$ OR $polymorph^*$). Results: A meta-analysis of the area under the concentration-time curve (AUC) of pravastatin in $SLCO1B1^*15$ and $SLCO1B1^*1a/^*1a$ was conducted. Five studies met all the inclusion criteria and methodological requirements. There was no statistically significant difference in the AUC value between $SLCO1B1^*15$ and $SLCO1B1^*1a/^*1a$ (p=0.728). However, $SLCO1B1^*15$ participants exhibited significantly higher AUC values than $SLCO1B1^*1b/^*1b$ carriers (p<0.001). In case of $SLCO1B1^*15^*15$ carriers, they had significantly higher AUC value than $SLCO1B1^*1a/^*1a$ subjects (p=0.002). Lastly, compared with to the subjects of $SLCO1B1^*1a/^*1a$, the carriers of heterozygous $SLCO1B1^*15$ increased the AUC value of pravastatin statistically significantly in Asian population (p=0.014). Conclusion: The present meta-analysis suggests that subjects with $SLCO1B1^*15$ are associated with increased AUC of pravastatin.

• 미생물학회지
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• 제37권2호
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• pp.158-163
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• 2001

Avermectin B1a의 생산성 향상을 위하여 무기인의 영향을 조사하고, 주요 유기질소원의 최적농도를 response surface methodology를 적용하여 구하였다. 1.5 g/ι의 농도로 무기인을 아버멕틴 생산배지에 첨가하였을 때 B1b 성분의 구성비가 5.8%에서 3%로 감소하였으며 B1a 생성은 영향을 받지 않았다. 배지의 주요성분인 대두분, 면실분, 효모추출물 중 아버멕틴 생성에 가장 큰 영향을 끼치는 유기질소원은 대두분이었다. 실험실 규모 발효조에서 Streptomyces avermifilis YA99-40의 유가식 회분배양에 의해 아버멕틴 생산성을 회분배양에 비해 44.8% 증가시킬 수 있었다. 발효조 배양시작 후 136, 206 시간에 각각 30, 20 g/ι의 당을 추가하는 유가식 회분배양을 실시하였을 때 B1a 성분의 최대 생산성은 회분배양 대비 86.3% 증가하였으며 생성된 총 아버멕틴 중 B1a의 구성비율도 화분배양에 비해 38%에서 45%로 향상되었다. 이 같은 결과는 산업적인 규모로 아버멕틴의 생산성을 향상시키는데 유용하게 적용시킬 수 있다.

• 미생물학회지
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• 제17권4호
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• pp.165-178
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• 1979

Phages of Lactobaciilus casei (PLC) isolated from plant drainage were classified and characterized. The results are as follows : 1. On the basis of host range pattern, phages could be divided into 2 groups (PLC-B and PLC-C). PLC-B group phages could be further divided into 5 sub-groups $(B_1, \;B_2, \;B_3, \;B_4, \;and\;B_5)$. Although PLC-C group phages had the same host range, they could be also divided into 2 sub-groups $(C_1\;and\;C_2)$ by morphlogical type. 2. It was $B_3$ group phages that represented a major proportion (44.4%) of phages tested. However, $B_1$ group phages were shown to have the widest host range. 3. Electron micrographs revealed that the phages fell into three different morphological types. $(B_1, \;B_2, \;and\;B_3)$ group phages hd a hexagonal head (52nm in diameter) and a sheathless noncontractile (245 nm in length). $B_4\;and\;C_2$ group phages had a hexagonal head (56 nm) and a short flexible tail (169nm) having no sheath. $B_5\;and\;C_1$ group phages were shown to have a hexagonal head (81 nm) and a contractile tail (140 nm) having a sheath, a base plate and tail fibers. 4. The inactivation of the phages by antisera indicated that serological relationships correlated completely with morphological types. 5. $B_1, \;C_1\;and\;C_2$ group phages produced a large (1, 2 mm in diameter) plaque with a clear ring. The morphology of plaques of $B_3\;and\;B_5$ group phages was the same as those produced by the above, but the average plaque sizes for $B_3\;and\;B_5$ were 0.8 mm abd 0.5 mm, respectively. $B_2\;and\;B_4$ group phages produced a small (0.5 mm) turbid plaque with an irregular edge. 6. The latent period and the average burst size of $B_1\;and\;B_3$ group phages were 90 min and 100, respectively. These phages reuqired calcium ions for their miltiplication. 7. $B_3$ group phages could not be absrobed to R-variant $KC_1$. 8. The order of resistance of phages to heat was $B_2\;>\;B_1, B_4\;and\;B_5\;>\;B_3\;and\;C_2, \;B_5$ group phages were more stable than $B_3$ in various pH values. $C_2$ group phages were more sensitive to UV irradiation than $B_1\;and\;B_3$ group phages. 9. Strains YIT9018 and IAM 1043 were induced by mitomycin C treatment. Phage particles detected in the lysates had a hexagonal head (38 and 49 nm, respectively), but no tail. Any sensitive indicator strain could not be isolated in spite of repaeated trials.

• 대한수학회보
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• 제47권3호
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• pp.645-651
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• 2010

In this note we study positive solutions of the mth order rational difference equation $x_n=(a_0+\sum{{m\atop{i=1}}a_ix_{n-i}/(b_0+\sum{{m\atop{i=1}}b_ix_{n-i}$, where n = m,m+1,m+2, $\ldots$ and $x_0,\ldots,x_{m-1}$ > 0. We describe a sufficient condition on nonnegative real numbers $a_0,a_1,\ldots,a_m,b_0,b_1,\ldots,b_m$ under which every solution $x_n$ of the above equation tends to the limit $(A-b_0+\sqrt{(A-b_0)^2+4_{a_0}B}$/2B as $n{\rightarrow}{\infty}$, where $A=\sum{{m\atop{i=1}}\;a_i$ and $B=\sum{{m\atop{i=1}}\;b_i$.

• 대한지역사회영양학회:학술대회논문집
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• 대한지역사회영양학회 2004년도 춘계학술대회
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• pp.437.1-437
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• 2004

The protein, called PTP1B (protein tyrosine phosphatase 1B), joins a list of enzymes that mice are associated with obesity. The purpose of this study was to investigate the effects of PTP1B inhibitors and taurine on blood lipid profiles in adolescents obesity model rats. Three week-old thirty-six male Sprague-Dawley rats were randomly assigned to six groups (high fat diet group; HFD group, high fat diet ＋ taurine group; HF＋TR group, high fat diet＋PTP1B inhibitor A group; HF＋A group, high fat diet＋PTP1B inhibitor B; HF＋B group, high fat diet＋PTP1B inhibitor A＋taurine group; HF＋A＋TR group, high fat diet ＋ PTP1B inhibitor B＋taurine group; HF＋B＋TR group).(omitted)

• Journal of the Korean Statistical Society
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• 제23권2호
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• pp.223-238
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• 1994

A random vector $\b{X} = (X_1,\cdots,X_n)$ is weakly associated if and only if for every pair of partitions $\b{X}_1 = (X_{\pi(1)},\cdots,X_{\pi(k)}), \b{X}_2 = (X_{\pi(k+1),\cdots,X_{\pi(n)})$ of $\b{X}, P(\b{X}_1 \in A, \b{X}_2 \in B) \geq P(\b{X}_1 \in A)\b{P}(\b{X}_2 \in B)$ whenever A and B are open upper sets and $\pi$ is a permutation of ${1,\cdots,n}$. In this paper, we develop notions of weak positive dependence, which are weaker than a positive version of negative association (weak association) but stronger than positive orthant dependence by arguments similar to those of Shaked. We also illustrate some concepts of a particular interest. Various properties and interrelationships are derived.