• Title/Summary/Keyword: $Z_2$

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Property of Sintered Y2O3-stabilized Zirconia from Scrap Powders (폐 상안정 지르코니아 분말로 제조한 소결체의 물성 연구)

  • Song, Oh-Sung;Park, Jong-Sung;Nam, Kyung-Ju
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.8
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    • pp.1783-1788
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    • 2009
  • We newly propose that we may reuse scrap powders ($Z_rO_2$+8 mol%-$Y_2O_3$) as $Y_2O_3$-stabilized zirconia (YSZ) sintered products through sintering process at 1550$^{circ}C$ for 2hrs. We also prepared the reference specimen from fresh $Z_rO_2$+30 mol%-$Y_2O_3$ powder mixture (celluar type with 1㎛-length). The reference sample showed a dense microstructure with grains of $\sim$10㎛ in diameter, while the sintered sample from scrap powder showed irregular grains of 1$\sim$30 ㎛ in diameter. Through XRD analysis, we confirmed that the reference sample has mixed phases of $Y_2O_3$(cubic), $Z_{r0.8}O_{1.9}$(cubic), and $Z_rO_2$(monoclinic), while the sintered YSZ sample from scrap powder has only tetragonal phase. Moreover, the sintered YSZ from scrap powder showed vickers hardness and apparent density more than 70 and 4.11 g/cc, which implies that it can be suitable for structural material application.

Fluorine Labeling in Biosynthetic Studies (I) : Synthesis of Fluorfarnesols

  • Park, O-Sook
    • Archives of Pharmacal Research
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    • v.9 no.4
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    • pp.237-242
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    • 1986
  • The Synthesis of E, E, E-12-fluorofarnesol and E, Z-6-fluorofarnesol which are key intermediates for the study of biosynthesis of some sesquiterpenes, is described. E, E-Farnesyl acetate is treated with selenium dioxide to give E, E, E-12-hydroxy farnesyl acetate, whih is transformed by DAST into E, E, E-12-hydroxy farnesyl acetate, which is transformed by DAST into E, E, E,-12-fluorofarnesylacetate. The latter compound is hydrolyzed to E, E, E,-12-fluorofarnesol. The reformatsky reaction of 6-methyl-5-hepten-2-one with ethyl bromofluoroacetate affords ethyl 2-fluoro-3-hydroxy-3, 7 dimethyl-6-octanoate. This ester is acetylated and eliminated to give ethyl (Z)-2-fluoro-3, 7-dimethylocta-2, 6-dienoate, which is transformed to allyl bromide via allylic alcohol. The allyl bromide is treated with dianion of methyl acetate to give-keto ester. The $\beta$-keto ester is converted to diethyl phosphoryloxy compound. The conjugate addition of lithium dimethylcuprate to the latter compound gives fluoro ester, which is treated with DIBAL to afford E, Z-6-fluorofarnesol.

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High redshift clusters of galaxies

  • Kim, Jae-Woo;Im, Myungshin;Lee, Seong-Kook;Jeon, Yiseul;Hyun, Minhee
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.69.2-69.2
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    • 2013
  • A galaxy cluster is an important laboratory to study the large scale structure in the Universe and the galaxy evolution. In order to identify candidate galaxy clusters at z~1, we have used deep and wide optical-NIR datasets based on IMS, UKIDSS DXS and CFHTLS wide covering ${\sim}20deg^2$ in the SA22 field. We measure the angular two-point correlation function of the candidate clusters and investigate the star formation activity of the member galaxies. Based on bias factor and halo mass function, candidate clusters have the average halo mass of > $10^{14}h^{-1}M_{\odot}$. At z~1, the star formation rate of cluster galaxies is similar to that of field galaxies, which indicates the environmental quenching is not so significant at z~1 as the local Universe.

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Oxygen Ion Beam Post-treatment of SiO2 Thin Film (산소 이온빔을 이용한 SiO2 박막 후처리 연구)

  • Lee, Seung-Hun;Gang, Yong-Jin;Kim, Jong-Guk;Kim, Do-Geun
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2013.05a
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    • pp.213-213
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    • 2013
  • $SiO_2$ 박막은 다양한 특성에 의해 널리 사용되고 있으며, 최근 보호막 소재로 각광받고 있다. 본 연구에서는 산소선형 이온빔을 통해 $SiC_xH_yO_z$ 박막을 후처리 하였으며, 후처리 공정을 통해 $SiC_xH_yO_z$ 박막을 산화시켰다. 이를 통해 $SiC_xH_yO_z$ 최상층에 $SiO_2$ 박막을 형성하는 공정을 개발하였다.

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A CHARACTERIZATION OF THE UNIT GROUP IN ℤ[T×C2]

  • Bilgin, Tevfik;Kusmus, Omer;Low, Richard M.
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1105-1112
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    • 2016
  • Describing the group of units $U({\mathbb{Z}}G)$ of the integral group ring ${\mathbb{Z}}G$, for a finite group G, is a classical and open problem. In this note, we show that $$U_1({\mathbb{Z}}[T{\times}C_2]){\sim_=}[F_{97}{\rtimes}F_5]{\rtimes}[T{\times}C_2]$$, where $T={\langle}a,b:a^6=1,a^3=b^2,ba=a^5b{\rangle}$ and $F_{97}$, $F_5$ are free groups of ranks 97 and 5, respectively.

CESÀRO OPERATORS IN THE BERGMAN SPACES WITH EXPONENTIAL WEIGHT ON THE UNIT BALL

  • Cho, Hong Rae;Park, Inyoung
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.705-714
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    • 2017
  • Let $A^2_{{\alpha},{\beta}}(\mathbb{B}_n)$ denote the space of holomorphic functions that are $L^2$ with respect to a weight of form ${\omega}_{{\alpha},{\beta}}(z)=(1-{\mid}z{\mid}^{\alpha}e^{-{\frac{\beta}{1-{\mid}z{\mid}}}}$, where ${\alpha}{\in}\mathbb{R}$ and ${\beta}$ > 0 on the unit ball $\mathbb{B}_n$. We obtain some results for the boundedness and compactness of $Ces{\grave{a}}ro$ operator on $A^2_{{\alpha},{\beta}(\mathbb{B}_n)$.

BOHR'S INEQUALITIES IN n-INNER PRODUCT SPACES

  • Cheung, W.S.;Cho, Y.S.;Pecaric, J.;Zhao, D.D.
    • The Pure and Applied Mathematics
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    • v.14 no.2 s.36
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    • pp.127-137
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    • 2007
  • The classical Bohr's inequality states that $|z+w|^2{\leq}p|z|^2+q|w|^2$ for all $z,\;w{\in}\mathbb{C}$ and all p, q>1 with $\frac{1}{p}+\frac{1}{q}=1$. In this paper, Bohr's inequality is generalized to the setting of n-inner product spaces for all positive conjugate exponents $p,\;q{\in}\mathbb{R}$. In. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained.

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A TURÁN-TYPE INEQUALITY FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE

  • Shah, Wali Mohammad;Singh, Sooraj
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.199-203
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    • 2022
  • Let f(z) be an entire function of exponential type τ such that ║f║ = 1. Also suppose, in addition, that f(z) ≠ 0 for ℑz > 0 and that $h_f(\frac{\pi}{2})=0$. Then, it was proved by Gardner and Govil [Proc. Amer. Math. Soc., 123(1995), 2757-2761] that for y = ℑz ≤ 0 $${\parallel}D_{\zeta}[f]{\parallel}{\leq}\frac{\tau}{2}({\mid}{\zeta}{\mid}+1)$$, where Dζ[f] is referred to as polar derivative of entire function f(z) with respect to ζ. In this paper, we prove an inequality in the opposite direction and thereby obtain some known inequalities concerning polynomials and entire functions of exponential type.

NONABELIAN GROUP ACTIONS ON 3-DIMENSIONAL NILMANIFOLDS WITH THE FIRST HOMOLOGY ℤ2⊕ℤ2

  • Han, Mina;Koo, Daehwan;Shin, Joonkook
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.3
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    • pp.365-381
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    • 2019
  • We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology ${\mathbb{Z}}^2{\oplus}{\mathbb{Z}}_2$, up to topological conjugacy. We show that there exist three kinds of nonabelian group actions in ${\pi}_1$, two in ${\pi}_2$ or ${\pi}_{5,i}$(i = 1, 2, 3), one in the other cases, and clarify what those groups are.

Early and Mid-Term Results after Operations for Pulmonary Atresia with Intact Ventricular Septum (온전한 심실중격을 갖고 있는 폐동맥폐쇄증의 수술 후 조기 및 중기 성적)

  • 성시찬;전희재;조광조;우종수;이형두
    • Journal of Chest Surgery
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    • v.33 no.6
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    • pp.476-486
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    • 2000
  • Background: Pulmonary atresia with intact ventricular septum(PA/IVS) is an anatomically heterogenous anomaly with a variety of surgical strategies possible. The purpose of the study is to evaluate the influence of right ventricular size on the early and midterm results of surgical repair of PA/IVS. Material and method: Medical records of 20 consecutive patients with PA/IVS operated on between January 1993 and August 1999 were retrospectively reviewed. There were 12 boys and 8 girls whose ages ranged from 2 days to 14.5 months (median 6 days). Their body weight ranged from 2.52kg to 9.35 kg(median 3.18kg). The preoperative Z-value of the diameter of the tricuspid valve(T-valve) was less than or -4 in 5 patients, between -4 and -2 in 1, between -2 and 0 in 7, between 0 and 2 in 6, and greater than or 2 in 1. All patients who had z-value of tricuspid valve greater than -2.05 were attempted biventricular repair(n=15) and all patients who had it smaller than -4.4 underwent systemic-pulmonary shunt operation only(n=3) or bidirectinal cavopulmonary shunt with right ventricular reconstruction(n=2). Result: Two early deaths(2/20, 10%) occurred. Both were infants who underwent transannular patch with shunt. One of these two had huge right ventricle(Z-value of tricuspid valve = 5). There were 2 late non-cardiac deaths 3 and 7 months after operations respectively. Follow-up was completed in all children at a mean of 35.3 months(range, 5 to 54 months). 10 of 11 survivors who underwent transannular patch or valvotomy with or without shunt procedure were in NYHA functional class I even though some of them had small interatrial communication or patent shunt. All three patients who had shunt procedure only at initial palliation completed Fontan procedures with no death. Two patients who underwent right ventricular outflow reconstruction with bidirectional cavopulmonary shunt were also in good condition. Conclusion: The transanular RVOT patch or valvotomy with or without systemic-pumonary shunt as an initial palliative procedure to achieve biventricular repair for the patients who had neither too small nor too large right ventricle(-2.05$\leq$Z-value of T-value of T-valve$\leq$2) could be performed at low operative risk(1/14 7.1%). Systemic-pulmonary shunt procedure and bidirectional cavopulmonary shunt procedure for the patients who had small right ventricle(Z-value of T-valve$\leq$4.4) could be also performed with low risk. But a patient with huge right atrium and ventricle(Z-value of t-valve=5) had poor operative result.

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