• Title, Summary, Keyword: G597

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GROUP-FREENESS AND CERTAIN AMALGAMATED FREENESS

  • Cho, Il-Woo
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.597-609
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    • 2008
  • In this paper, we will consider certain amalgamated free product structure in crossed product algebras. Let M be a von Neumann algebra acting on a Hilbert space Hand G, a group and let ${\alpha}$ : G${\rightarrow}$ AutM be an action of G on M, where AutM is the group of all automorphisms on M. Then the crossed product $\mathbb{M}=M{\times}{\alpha}$ G of M and G with respect to ${\alpha}$ is a von Neumann algebra acting on $H{\bigotimes}{\iota}^2(G)$, generated by M and $(u_g)_g{\in}G$, where $u_g$ is the unitary representation of g on ${\iota}^2(G)$. We show that $M{\times}{\alpha}(G_1\;*\;G_2)=(M\;{\times}{\alpha}\;G_1)\;*_M\;(M\;{\times}{\alpha}\;G_2)$. We compute moments and cumulants of operators in $\mathbb{M}$. By doing that, we can verify that there is a close relation between Group Freeness and Amalgamated Freeness under the crossed product. As an application, we can show that if $F_N$ is the free group with N-generators, then the crossed product algebra $L_M(F_n){\equiv}M\;{\times}{\alpha}\;F_n$ satisfies that $$L_M(F_n)=L_M(F_{{\kappa}1})\;*_M\;L_M(F_{{\kappa}2})$$, whenerver $n={\kappa}_1+{\kappa}_2\;for\;n,\;{\kappa}_1,\;{\kappa}_2{\in}\mathbb{N}$.

IL-6 gene promoter polymorph isms in Korean generalized aggressive periodontitis (한국인 전반적 급진성 치주염 환자에서 IL-6 유전자 다변성에 관한 연구)

  • Bang, Sun-Jung;Kim, Il-Shin;Kim, Ok-Su;Kim, Young-Jun;Chung, Hyun-Ju
    • Journal of Periodontal and Implant Science
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    • v.38 no.4
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    • pp.579-588
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    • 2008
  • Purpose: The purpose of this study was to investigate the association of generalized aggressive periodontitis with IL-6 promoter gene single nucleotide polymorphisms(SNP). Material and Methods: The study population consisted of 52 generalized aggressive periodontitis patients(GAP) and 30 periodontally healthy control subjects, who were systemically healthy non-smokers. Genomic DNA was obtained from buccal swab. The IL-6 promotor SNP at the positions of -597, -572, and -174 were genotyped by amplifying the polymorphic region using polymerase chain reaction(PCR), restriction enzyme digestion and gel electrophoresis. Result: The genotype distributions for G/G, G/A and A/A genotypes of IL-6 -597 were 30.8%, 40.4%, and 28.8% in the GAP group and 53.3%, 40%, and 6.7% in the control group and were statistically different between 2 groups(p<0.05). Allele 2 frequency of IL-6 -597 were significantly higher in the GAP group than the control group(p<0.01). At the position of IL-6 -572, the distribution for C/C, C/G and G/G genotypes were 23.1%, 55.8% and 21.2% in the GAP group and 20%, 33.3%, and 46.7% in the control group. In female subjects, the genotype distribution were significantly different between 2 groups(p<0.01). In male subjects, allele 2 frequency of IL-6-572 was significantly lower in the GAP group than the control group(p<0.05). The genotype distribution of IL-6 -174 in the GAP group were 96.2%, 3.8% for G/G, G/C genotypes whereas only the G/G genotype was detected in the control group. Conclusion: In conclusion, significant associations were found in IL-6 gene promoter(-597, -572) polymorphisms and generalized aggressive periodontitis. Further cohort study will be necessary in larger population.

IL-10 gene promoter polymorphisms in Korean gener-alized aggressive periodontitis patients (한국인 전반적 급진성 치주염 환자에서 IL-10 promoter 유전자 다변성에 관한 연구)

  • Ryn, Ji-Sun;Kim, Ok-Su
    • Journal of Periodontal and Implant Science
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    • v.37 no.3
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    • pp.563-573
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    • 2007
  • Genetic polymorphisms associated with aggressive periodontitis have previously been reported. Interleukin-10 is an immunoregulatory cytokine that plays a role in the pathogenesis of periodontitis. Individual capacity for IL-10 production appears to be under genetic influence, The aim of present investigation was to explore possible genetic association of IL-10 gene promoter polymorphisms with generalized aggressive periodontitis. The study population consisted of 37 generalized aggressive periodontitis patients from the Department of Periodontology, Chonnam National University Hospital and 27 control subjects, all the subjects were non-smokers, Genomic DNA was obtained from buccal swab. The IL-10promoter -597, -824, -1082 positions were genotyped by amplifying the polymorphic regions using polymerase chain reaction (PCR) , followed by restriction enzyme digestion and gel electrophoresis. IL-10-597 C (allele 1) to A (allele 2) and IL-10-824 C (allele 1) to T (allele 2) and IL-10-1082 G (allele 1) to A (allele 2) polymorphisms were examined. The results were as follows. 1. In patients, the distribution of genotypes C/C, C/A and NA at Il-10-597 was determined to be 13.5%, 37.8% and 48.7%, respectively and the distribution of genotypes at IL-10-824 was the same as that of IL-10-597. The distribution of genotypes G/G, G/A and NA at IL-10-1082 was found to be 2.7%, 16.2% and 81. 4%, respectively. No statistical difference in genotype distribution was found between the patient and control groups. 2. Allele 2 carriage rate at the three position of the IL-10 promoter region was higher in the control group than the patient group. 3. Allele 2 frequencies at IL-10-597 and -824 positions were higher in female group than male group and its difference was statistically significant(p<0.05). No significant difference in genotype distribution between the control and patient groups. Allele frequency between control and patient groups was not significantly different although allele 2 frequency at the three positions in the IL-10 promoter region appeared to be higher in control group. In conclusion, no clear association between IL-10 gene promoter polymorphisms and generalized aggressive periodontitis in Korean was observed.

A Study on the Improvement of West Sea Airways between Korea and China (한.중 서해 항공로(G597/Y64) 개선방안에 관한 고찰)

  • Maeng, Sung-Kyu;Park, Sun-Rae;Lee, Kang-Hyun
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.19 no.4
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    • pp.111-116
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    • 2011
  • Incheon International Airport is becoming a hub in the Northeast Asia region since its opening in 2001. Along with an increasing volume of air traffic, demands for airspace are also increasing significantly. In particular, air traffic delays have been growing rapidly due to an increasing volume of air traffic, specially flying to Europe through China. And therefore, there should be an alternative protocol to prevent flight delays. The main purpose of this study is to review current West Sea Airways of G597/Y64 which contains highly potential problems and to evaluate the efficacy of double-tracked airways in the west sea area.

THE UNITS AND IDEMPOTENTS IN THE GROUP RING K($Z_m$ $\times$ $Z_n$)

  • Park, Won-Sun
    • Communications of the Korean Mathematical Society
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    • v.15 no.4
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    • pp.597-603
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    • 2000
  • Let K be an algebraically closed filed of characteristic 0 and let G = Z(sub)m x Z(sub)n. We find the conditions under which the elements of the group ring KG are units and idempotents respectively by using the represented matrix. We can see that if $\alpha$ = ∑r(g)g $\in$ KG is an idempotent then r(1) = 0, 1/mn, 2/mn, …, (mn-1)/mn or 1.

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Novel Patched 1 Mutations in Patients with Gorlin-Goltz Syndrome Strategic Treated by Smoothened Inhibitor

  • Hsu, Shih-Wen;Lin, Chien-yio;Wang, Chuang-Wei;Chung, Wen-Hung;Yang, Chih-Hsun;Chang, Yao-Yu
    • Annals of dermatology
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    • v.30 no.5
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    • pp.597-601
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    • 2018
  • We studied a family with Gorlin-Goltz syndrome. The novel mutations of our cases were located on the 21st exon of the PTCH1 gene (c.3450C>G). The father, who received a strategic 56-day vismodegib treatment for disease control, was the first patient with Gorlin syndrome treated with the hedgehog inhibitor in Taiwan. The lesions regressed gradually, with scar formation, and were subsequently removed via a wide excision. Further details are provided below.

Parameter Identification of Induction Motors using Variable-weighted Cost Function of Genetic Algorithms

  • Megherbi, A.C.;Megherbi, H.;Benmahamed, K.;Aissaoui, A.G.;Tahour, A.
    • Journal of Electrical Engineering and Technology
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    • v.5 no.4
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    • pp.597-605
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    • 2010
  • This paper presents a contribution to parameter identification of a non-linear system using a new strategy to improve the genetic algorithm (GA) method. Since cost function plays an important role in GA-based parameter identification, we propose to improve the simple version of GA, where weights of the cost function are not taken as constant values, but varying along the procedure of parameter identification. This modified version of GA is applied to the induction motor (IM) as an example of nonlinear system. The GA cost function is the weighted sum of stator current and rotor speed errors between the plant and the model of induction motor. Simulation results show that the identification method based on improved GA is feasible and gives high precision.

Some Inclusion Properties of New Subclass of Starlike and Convex Functions associated with Hohlov Operator

  • Sokol, Janusz;Murugusundaramoorthy, Gangadharan;Kothandabani, Thilagavathi
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.597-610
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    • 2016
  • For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product (or convolution) with Srivastava-Wright convolution operator, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, $G({\lambda},{\alpha})$ and $M({\lambda},{\alpha})$. Furthermore we discuss some inclusion relations for these subclasses to be in the classes of k-uniformly convex and k-starlike functions.