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PRECISE ASYMPTOTICS IN COMPLETE MOMENT CONVERGENCE FOR DEPENDENT RANDOM VARIABLE

  • Han, Kwang-Hee
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.369-380
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    • 2009
  • Let $X,X_1,X_2,\;{\cdots}$ be identically distributed and negatively associated random variables with mean zeros and positive, finite variances. We prove that, if $E{\mid}X_1{\mid}^r$ < ${\infty}$, for 1 < p < 2 and r > $1+{\frac{p}{2}}$, and $lim_{n{\rightarrow}{\infty}}n^{-1}ES^2_n={\sigma}^2$ < ${\infty}$, then $lim_{{\epsilon}{\downarrow}0}{\epsilon}^{{2(r-p}/(2-p)-1}{\sum}^{\infty}_{n=1}n^{{\frac{r}{p}}-2-{\frac{1}{p}}}E\{{{\mid}S_n{\mid}}-{\epsilon}n^{\frac{1}{p}}\}+={\frac{p(2-p)}{(r-p)(2r-p-2)}}E{\mid}Z{\mid}^{\frac{2(r-p)}{2-p}}$, where $S_n\;=\;X_1\;+\;X_2\;+\;{\cdots}\;+\;X_n$ and Z has a normal distribution with mean 0 and variance ${\sigma}^2$.

Analysis of Microbial Diversity in Makgeolli Fermentation Using PCR-DGGE (PCR-DGGE를 이용한 막걸리발효에서 미생물 다양성 분석)

  • Kwon, Seung-Jik;Ahn, Tae-Young;Sohn, Jae-Hak
    • Journal of Life Science
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    • v.22 no.2
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    • pp.232-238
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    • 2012
  • Kumjungsansung-Makgeolli$^{(R)}$ is a traditional Korean rice wine that is fermented from traditional nuruk and rice. In this study, we performed the PCR-denaturing gradient gel electrophoresis (DGGE) analysis targeting the 16S and 28S rRNA genes to characterize bacterial and fungal diversity during Makgeolli fermentation. The predominant bacteria in the PCR-DGGE profile during Makgeolli fermentation were Lactobacillus spp. (Lactobacillus curvatus, L. kisonensis, L. plantarum, L. sakei, and L. gasseri), Pediococcus spp. (P. acidilactici, P. parvulus, P. agglomerans, and P. pentosaceus), Pantoea spp. (P. agglomerans and P. ananatis), and Citrobacter freundii; these were identified on the base of analysis of 16S rRNA gene sequences. The dominant bacterium during Makgeolli fermentation was L. curvatus. The predominant fungi in PCR-DGGE profile during Makgeolli fermentation were Pichia kudriavzevii, Saccharomyces cerevisiae, Asidia idahoensis, Kluyveromyces marxianus, Saccharomycopsis fibuligera, and Torulaspora delbrueckii, and these were identified on the basis of analysis of 28S rRNA gene sequences. The dominant fungal species during Makgeolli fermentation changed from P. kudriavzevii at 0-2 days incubation to S. cerevisiae at 3-6 days incubation. This study suggests that PCR-DGGE analysis could be a suitable tool for the understanding of microbial diversity and structure during Makgeolli fermentation.

Herbicidal and Antifungal Activities of the aqueous extracts of Several Naturalized Plants (수종의 귀화식물 수용성추출물의 제초 및 항균 활성 탐색)

  • Hyoun, Do-Gyoung;Song, Jin-Young;Kim, Tae-Keun;Jung, Dae-Cheon;Song, Sang-Churl;Kang, Young-Sik;Cha, Jin-Woo;Lee, Hee-Sean;Yang, Young-Hoan;Kim, Hyoun-Chol;Song, Chang-Khil
    • Korean Journal of Organic Agriculture
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    • v.22 no.2
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    • pp.303-319
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    • 2014
  • The study researched germination of the plants and growth of experimented bacteria according to concentration of water extract in order to provide basic data for developing natural agricultural resources by using naturalized plants including Solidago altissima, Amaranthus retroflexus and Sida spinosa. As concentration of water extract increased, most of test plants showed a decrease in relative germinability. Sida spinosa(r=-0.540, p<0.01), Physalis wrightii(r=-0.693, p<0.01), Amaranthus retroflexu(r=-0.724, p<0.01), Solidago altissima(r=-0.728, p<0.01) and Eclipta prostrata(r=-0.779, p<0.01) showed tendency of decrease in relative germinative power in order, respectively. For average germination period, as concentration of the processed group increased, the time for germination increased (r = 0.769, p<0.01) and according to donor plants and test plants, there was a little difference. Also, as concentration of water extract of donor plant, length of above-aerial part(r=-0.587, p<0.01), length of underground part(r=-0.741, p<0.01), fresh weight(r=-0.574, p<0.01) and generation of root hair decreased. An then, for growth of test fungi according to concentration of water extract of donor plants, growths of Botrytis cinerea(r=-0.266, p<0.05), Diaporthe citri(r=-0.323 p<0.01), Colletotrichum gloeosporioides(r=-0.512, p<0.01), Pythiumultimum(r=-0.581, p<0.01) and Rhizoctonia solani(r=-0.806, p<0.01) were repressed in order, respectively. For total amount of content of phenol with herbicidal and Antifungal activities, S. altissima $17.3{\pm}0.5mg/g$, A. retroflexus $13.1{\pm}0.3mg/g$, P. wrightii $12.0{\pm}0.4mg/g$, S. spinosa $9.5{\pm}0.1mg/g$ and E. prostrata L. $4.1{\pm}0.1mg/g$ showed in order, respectively. As these results are summarized, donor plants which were naturalized, have competitive advantage because they release phenolic compounds with allelopathic effect and affect on germination, growth and fungi growth on underground flora compared to native plants and they have eligibility for natural herbicide and germicide.

Evaluation of Age-dependent Crow′s Feet in Korean Women (한국여성의 연령별 눈가 주름의 정량 분석)

  • 이미영;김은정;이희경;서영경;이민선;고재숙
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.30 no.1
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    • pp.85-91
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    • 2004
  • In this study, we evaluated the crow's feet of 152 Korean women by using visual assessment established by our research group and mechanical assessment, Skin Visiometer SV 600. The volunteers were divided into 3 groups according to age; the group I of 30's was 43, the group II of 40's was 75, the group III of 50's was 34. The wrinkle score by visual assessment showed tendency to increase according to age and was statistically significant different among those three age groups (P 〈 0.05). But there was no significant difference between the left and the right of crow's feet. The 5 wrinkle parameters (RI, R2, R3, R4, R5) of mechanical assessment varied as age and the Rl, R4, and R5 showed statistically significant difference among three age groups (P 〈 0.05). However there was no significant difference between the left and the right of crow's feet. The volunteers were divided into 3 groups according to wrinkle score; (0-3 grade for group A, 4-6 grade for group B, 7-9 grade for group C). Only R4 and R5 showed significant difference between group A and group C (P 〈 0.05). It was suggested that visual scoring criteria applied in this study was related to R4 and R5 and was useful in investigating in fine wrinkles.

Analysis of Higher Order Structure of 5S rRNA from Xanthomonas celebensis by Using Angiogenin (안지오제닌을 이용한 Xanthomonas celebensis 5S rRNA의 고차원 구조 분석)

  • Kim, Sang Beom;Jo, Bong Rae;Im, Ja Hye;Jang, Su Ik;Park, In Won
    • Journal of the Korean Chemical Society
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    • v.38 no.10
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    • pp.769-773
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    • 1994
  • Higher order structure of 5S rRNA isolated from Xanthomonas celebensis was examined using angiogenic extracted from milk. Angiogenin cleaved exclusively 3' P-O bonds on the far sides of pyrimidines in the single-stranded sequences of 5S rRNA. Whereas angiogenin acted only on the loop d of 5S rRNA at pH 7.0 in the presence of 10 mM $Mg^{2+}$, it acted on all the loops (a, b, c and d) except loop e in the absence of $Mg^{2+}$. In the absence of $Mg^{2+}$, bonds $U_{74}$-$G_{75}$, $U_{77}$-$A_{78}$ and $U_{103}$-$A_{104}$ were highly susceptible to the action of angiogenin both at pH 7.0 and at pH 3.5. On the other hand, at pH 3.5 in the absence of $Mg^{2+}$ angiogenin strongly cleaved the bond $C_{17}$-$G_{18}$ of loop a and the bond $U_{55}$-$G_{56}$ of loop b. The results lead us to the following conclusion. First, angiogenin can be used as one of the probes for the tertiary structure analysis of 5S rRNA. Second, the structure of loop d of 5S rRNA is variable depending on the concentrations of $Mg^{2+}$ and $H^{1+}$.

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The Effect of Insomnia Severity on Daytime Sleepiness in Obstructive Sleep Apnea Syndrome (불면증 정도가 폐쇄성 수면무호흡 증후군에서의 주간졸림 정도에 끼치는 영향)

  • Nam, Ji-Won;Shin, Byoung-Hak;Shin, Hyeon-Sil;Park, Minji
    • Sleep Medicine and Psychophysiology
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    • v.22 no.1
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    • pp.11-19
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    • 2015
  • Objectives: Whether daytime sleepiness is proportional to the severity of sleep apnea in obstructive sleep apnea syndrome (OSAS) is controversial. In this study we investigated how insomnia severity affects the association between daytime sleepiness and sleep apnea severity in OSAS. Methods: The present study included 235 male subjects who were diagnosed with OSAS based on clinical history and nocturnal polysomnography. Pearson's correlation analysis was conducted among sleep and mood-related self-reported data, polysomnographic data and demographic data of all subjects. Based on Pittsburgh Sleep Quality Index (PSQI), the subjects were divided into 2 groups; group A (n = 75; $PSQI{\leq}5$) and group B (n = 160; PSQI > 5). Partial correlation analysis was performed between the Epworth Sleepiness Scale (ESS) and other data in both groups. Multiple linear regression analysis was conducted to investigate the factors which affected the ESS in group A. Results: Pearson's correlation analysis showed weak or non-existent correlations between ESS and apnea severity data such as apnea-hypopnea index (AHI) (r = 0.148, p = 0.023), apnea index (AI) (r = 0.137, p = 0.036), hypopnea index (HI) (r = 0.058, p = 0.377), oxygen desaturation index (ODI) (r = 0.149, p = 0.022) and arousal total index (ATI) (r = 0.129, p = 0.048). Positive correlations between ESS and apnea severity data such as AHI ($r_p=0.313$, p = 0.008), AI ($r_p=0.339$, p = 0.004), ODI ($r_p=0.289$, p = 0.015) and ATI ($r_p=0.256$, p = 0.031) were observed only in group A. Multiple regression analysis showed that AI (t = 2.996, p = 0.004) and BAI (t = 2.721, p = 0.008) were associated with ESS in group A. Conclusion: The correlation between daytime sleepiness and sleep apnea severity was shown only in group A. This result suggests that associations between daytime sleepiness in OSAS and sleep apnea severity will become prominent when controlling for insomnia-related variables.

Theoretical Study of Phosphoryl Transfer Reactions

  • Han, In-Suk;Kim, Chan-Kyung;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.32 no.3
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    • pp.889-893
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    • 2011
  • The energetics and transition state (TS) structures of the reactions of six substrates, $R_1R_2P$(=O or S)Cl-type where $R_1=R_2$=Me and/or MeO, with ammonia in acetonitrile are theoretically investigated at the level of CPCM-MP2/6-31+G(d) and CPCM-MP2/6-311+G(3df,2p). The degrees of distortion of TS from the ideal trigonal bipyramidal pentacoordinate, ${\Delta}{{\delta}}_{{\neq}b}$ for a backside and ${\Delta}{{\delta}}_{{\neq}f}$ for a frontside attack, are calculated. The results of calculation suggest that the feasibility of a frontside attack for P=S is greater than that for P=O system when the two ligands, $R_1$ and $R_2$, becomes larger. The experimental and calculated results of anilinolyses of $R_1R_2P$(=O or S)Cl-type show the consistent tendencies.

Factors Affecting the Parental Stress of Children and Adolescents with Epilepsy (뇌전증 소아청소년 환아의 부모 스트레스에 영향을 주는 요인)

  • Jung, Byu Lee;Kim, Ga Eun;Lee, Hyang Woon;Kim, Eui-Jung
    • Korean Journal of Psychosomatic Medicine
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    • v.28 no.1
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    • pp.63-71
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    • 2020
  • Objectives : The aim of this study was to investigate the impact of clinical and psychological factors on the parental stress of children and adolescents with epilepsy. Methods : Children and adolescents with epilepsy (n=90, age range=6-17 years) completed questionnaires on epilepsy-related variables, children's depressive symptoms (Children's Depression Inventory, CDI), children's anxiety (Revised Children's Manifest Anxiety Scale, RCMAS) and performed the scale for children's intelligence (IQ). Parents who have children and adolescents with epilepsy completed questionnaires on parental stress (Questionnaire on Resources and stress, QRS), parental anxiety (State-Trait Anxiety Inventory, STAI), children's attention problems (Abbreviated Conners Parent Rating Scale Revised, CPRS), and children's behavioral problems (Korean Child Behavior Checklist, K-CBCL). Stepwise regression analysis was performed to determine the significant predictive variables that affect parental stress. Results : In the correlational analysis, duration of seizure treatment (r=0.253, p=0.016), children's IQ (r=-0.544, p<0.001), children's attention problems (r=0.602, p<0.001), children's depressive symptoms (r=0.335, p=0.002), children's anxiety (r=0.306, p=0.004), children's behavioral problems (r=0.618, p<0.001), and parental anxiety (r=0.478, p<0.001), showed a significant correlation with parental stress. Children's behavioral problem (β=0.241, p=0.010), children's IQ (β=-0.472, p<0.001), and parental anxiety (β=0.426, p<0.001) were significantly related to the parental stress (Adjusted R2=0.619). Conclusions : Clinicians should pay attention to children's intelligence and behavioral problems and parental anxiety, which affect parental stress with children and adolescents with epilepsy.