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Weak Convergence for Nonparametric Bayes Estimators Based on Beta Processes in the Random Censorship Model

  • Hong, Jee-Chang
    • Communications for Statistical Applications and Methods
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    • v.12 no.3
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    • pp.545-556
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    • 2005
  • Hjort(1990) obtained the nonparametric Bayes estimator $\^{F}_{c,a}$ of $F_0$ with respect to beta processes in the random censorship model. Let $X_1,{\cdots},X_n$ be i.i.d. $F_0$ and let $C_1,{\cdot},\;C_n$ be i.i.d. G. Assume that $F_0$ and G are continuous. This paper shows that {$\^{F}_{c,a}$(u){\|}0 < u < T} converges weakly to a Gaussian process whenever T < $\infty$ and $\~{F}_0({\tau})\;<\;1$.

PULSATIONAL CHARACTERISTICS OF $\delta$ SCUTI VARIABLE HR1170

  • Kim, Seoung-Li;Lee, See-Woo
    • Journal of The Korean Astronomical Society
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    • v.23 no.1
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    • pp.1-13
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    • 1990
  • New uvby photoelectric photometry was carried out for a $\delta$ Scuti variable, HR1170. By applying the Fourier method and the linear least square method, three frequencies were derived: $f_1=10.06134c/d$ ($P_1=0.^d0994$). $f_2=11.91754c/d$ ($P_2=0.^d0839$). $f_3=18.96776c/d$ ($P_3=0.^d0527$). From the observed pulsational constants and from the phase difference and amplitude ratios for color(b-y) and magnitude y. three different pulsation modes (n, l) of $f_1(0,0)$, $f_2(1,2)$, $f_3(3,2)$ are deduced, indicating the existence of nonradial mode in HR1170. Some physical parameters indicate that HR1170 is evolving at the stage of H-shell burning.

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Characterization of Melanin-concentrating Hormone from Olive Flounder (Paralichthys olivaceus) (양식넙치 멜라닌 농축 호르몬의 특성)

  • Chung, In Young;Jeon, Jeong Min;Song, Young Hwan
    • Journal of Life Science
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    • v.28 no.3
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    • pp.284-292
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    • 2018
  • The melanin-concentrating hormone (MCH), a cyclic hypothalamic peptide composed of 17 amino acids, was initially identified in chum salmon (Oncorhynchus keta) as a regulator of pigmentation. Mammalian MCHs are cyclic hypothalamic peptides composed of 19 amino acids that regulate food intake and energy homeostasis. The present study examined not only MCH expression of different tissues but also the melanohore aggregation and intracellular $Ca^{2+}$ influx of fMCH and the other MCH. Real-time qPCR showed that MCH expressed specially in the brain, gonad, and ovary, and expression of MCH was observed during the developmental stages. In the application of synthetic fMCH and both types of synthetic fMCH, dN-fMCH and dC-fMCH, scale melanophore induced significant changes in aggregation activity with various concentrations of MCH. Also, compared to hMCH and sMCH, fMCH exhibited a 36~99.85% increase in relative potency (%), whereas aggregation of dN-fMCH and dC-fMCH remained in a high concentration. However, dispersion was induced rapidly according to be low concentration of dN-fMCH and dC-fMCH. We show that fMCH and its derivates were bound human MCHR1 and rat MCHR expressed in HEK293T cells with nano-molar affinity and are likely to be ligand-induced to mobilize intracellular $Ca^{2+}$. These results may provide new ligands for binding assay with MCHew ligands, as a structure similar to the mammalian MCH structure was discovered in fish. Once the fMCH receptor system is in place, it can be compared to the MCH system of mammals in terms of MCH function.

TWO POINTS DISTORTION ESTIMATES FOR CONVEX UNIVALENT FUNCTIONS

  • Okada, Mari;Yanagihara, Hiroshi
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.957-965
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    • 2018
  • We study the class $C{\mathcal{V}} ({\Omega})$ of analytic functions f in the unit disk ${\mathbb{D}}=\{z{\in}{\mathbb{C}}$ : ${\mid}z{\mid}$ < 1} of the form $f(z)=z+{\sum}_{n=2}^{\infty}a_nz^n$ satisfying $$1+\frac{zf^{{\prime}{\prime}}(z)}{f^{\prime}(z)}{\in}{\Omega},\;z{\in}{\mathbb{D}}$$, where ${\Omega}$ is a convex and proper subdomain of $\mathbb{C}$ with $1{\in}{\Omega}$. Let ${\phi}_{\Omega}$ be the unique conformal mapping of $\mathbb{D}$ onto ${\Omega}$ with ${\phi}_{\Omega}(0)=1$ and ${\phi}^{\prime}_{\Omega}(0)$ > 0 and $$k_{\Omega}(z)={\displaystyle\smashmargin{2}{\int\nolimits_{0}}^z}{\exp}\({\displaystyle\smashmargin{2}{\int\nolimits_{0}}^t}{\zeta}^{-1}({\phi}_{\Omega}({\zeta})-1)d{\zeta}\)dt$$. Let $z_0,z_1{\in}{\mathbb{D}}$ with $z_0{\neq}z_1$. As the first result in this paper we show that the region of variability $\{{\log}\;f^{\prime}(z_1)-{\log}\;f^{\prime}(z_0)\;:\;f{\in}C{\mathcal{V}}({\Omega})\}$ coincides wth the set $\{{\log}\;k^{\prime}_{\Omega}(z_1z)-{\log}\;k^{\prime}_{\Omega}(z_0z)\;:\;{\mid}z{\mid}{\leq}1\}$. The second result deals with the case when ${\Omega}$ is the right half plane ${\mathbb{H}}=\{{\omega}{\in}{\mathbb{C}}$ : Re ${\omega}$ > 0}. In this case $CV({\Omega})$ is identical with the usual normalized class of convex univalent functions on $\mathbb{D}$. And we derive the sharp upper bound for ${\mid}{\log}\;f^{\prime}(z_1)-{\log}\;f^{\prime}(z_0){\mid}$, $f{\in}C{\mathcal{V}}(\mathbb{H})$. The third result concerns how far two functions in $C{\mathcal{V}}({\Omega})$ are from each other. Furthermore we determine all extremal functions explicitly.

Synthesis and Biological Evaluation as a Potential Allylamine Type Antimycotics (알릴아민 항진균제의 합성과 생물학적 평가)

  • 정병호;조원제;천승훈;정순영;유진철
    • YAKHAK HOEJI
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    • v.47 no.5
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    • pp.293-299
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    • 2003
  • Structure-activity relationship studies of allylamine type of antimycotics were carried out to evaluate the effect of naphthyl and methyl portion of naftifine. Compounds with 4-fluorophenyl(2a-5a), 2-fluorophenyl(2b-5b), 2,4-dichlorophenyl(2c-5c), 2,6-dichlorophenyl(2d-5d), 4-nitrophenyl(2e-5e), and 2,3-dihydro-benzo[1,4]dioxan-6-yl( 2f-5f) instead of naphthyl group with hydrogen(3a-3f), methyl(4a-4f), and ethyl(5a-5f) in the place of methyl in naftifine were synthesized and tested their in vitro anti-fungal activity against five different fungi. Eight compounds(3a, 5a, 3c, 4c, 4d, 5d, 5e, and 4f) showed significant antifungal activity against T. mentagrophytes. (E)-N-Ethyl-(3-phenyl-2-propenyl)-4-nitro-benzenemethaneamine(5e) displayed moderate antifungal activity against all five different fungi.

FACTORIZATION IN KREIN SPACES

  • Yang, Mee-Hyea
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.801-810
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    • 1998
  • Let A(z), W(z) and C(z) be power series with operator coefficients such that W(z) = A(z)C(z). Let D(A) and D(C) be the state spaces of unitary linear systems whose transfer functions are A(z) and C(z) respectively. Then there exists a Krein space D which is the state space of unitary linear system with transfer function W(z). And the element of D is of the form (f(z) + A(z)h(z), k(z) + C*(z)g(z)) where (f(z),g(z)) is in D(A) and (h(z),k(z)) is in D(C).

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Simulation on the Microstructure Development of Porous Materials with Respect to the Surface Energy Anisotropy (표면에너지의 이방성에 따른 다공체의 조직변화 시뮬레이션)

  • Shin, Soon-Gi
    • Korean Journal of Materials Research
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    • v.17 no.9
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    • pp.500-506
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    • 2007
  • The effects of anisotropic surface energy on the microstructure development of porous materials have been studied through Monte Carlo simulation using a three dimensional lattice. The changes in porosity ($f_v$), mean grain diameter ($D_s$), fraction of connected pores ($f_{v,c}$) and contiguity of the solid phase (C) were examined in cases with three different ${\gamma}_{SV}$ relations and initial grain diameters ($D_{s,o}$). It has been found that larger ${\gamma}_{SV}$ enhances sintering of particles and increases C and does not change $D_s$. And Introducing anisotropic ${\gamma}_{SV}$ brought an increase in $f_v$ and $f_{v,c}$ and an decrease in $D_s$ and C, and this tendency become more marked for fine $D_{s,o}$.

Gene Frequencies and Phenotypes of Transferrin C Subtypes and Haptoglobin in Korean Population (한국인집단의 Transferrin C Subtypes와 Haptoglogin Phenotypes의 분포와 유전자 빈도)

  • 이정주;오문유
    • The Korean Journal of Zoology
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    • v.26 no.3
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    • pp.211-217
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    • 1983
  • Genetic polymorphism of transferrin $(T_f)$ subtypes in Jeju population was studied by isoelectric focusing of human sera on polyacrylamide gels under high voltage, and haptolobin (Hp) polymorphism in Seoul and Jeju population was studied by polyacrylamide gel electrophoresis. Among 946 normal samples, three common types of transferrin, $T_{f}C_{1}, T_{f}C_{1}-C_{2} and T_{f}C_{2}$ were observed with some variants migrating slower than $T_{f}C$ subtypes, while among 139 patient (hepatitis) samples, only three common types were found. The gene frequencies were calculated as follows; in normal population, $T_{f}C^{1}$ was 0.7220; $T_{f}C^{2}, 0.2743; T_{f}D^{Jeju}, 0.0037$, and in patient population, $T_{f}C^{1} was 0.7194; T_{f}C^{2}, 0.2806$ respectively. Among 460 samples in Seoul and 502 in Jeju population, three types of haptoglobin, Hp 1-1, Hp 2-1 and Hp 2-2 were observed. The gene frequency of $Hp^1$ was 0.304, $Hp^2$, 0.696 in Seoul and in Jeju, $Hp^1$ was 0.269 and $Hp^2$, 0.731, respectively. The frequencies of the genes and the polymorphic phenotypes were discussed comparatively with the other populations.

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Study of Molecular Reorientation in Liquid with Raman Spectroscopy(III). Temperature Dependence of Molecular Rotation of $C_6F_6$ in Neat Liquid (액체분자의 재배치 운동에 관한 라만 분광법적 연구 (제3보) 순수한 $C_6F_6$ 액체분자의 회전운동에 대한 온도의 영향)

  • Myung Soo Kim
    • Journal of the Korean Chemical Society
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    • v.28 no.1
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    • pp.34-40
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    • 1984
  • The reorientational motion of $C_6F_6$ in neat liquid is investigated in the temperature range 293∼333K by analyzing ${\nu}_2$ and ${\nu}_16$ bands of its Raman spectrum. Diffusion constants for the tumbling ($D_{\bo}$) and spinning ($D_{\parallel}$) motions are determined. The reorientation of the molecule seems to be distinctly anisotropic. Based on the hydrodynamic model, the tumbling motion of the figure axis of $C_6F_6$ is largely diffusional. On the other hand, the spinning motion of the same axis looks mostly inertial.

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Effects of flower removal on Growth and Content of essential oil in Atractylodes macrocephala Koidz (화기제거가 백출(Atractylodes macrocephala Koidz)의 생육 및 정유 함량에 미치는 영향)

  • 김수용;권오흔;조지형;임재하
    • Korean Journal of Plant Resources
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    • v.14 no.2
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    • pp.152-156
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    • 2001
  • This study was conducted to investigate the flower organ removal effect on Atractylodes macrocephala Koidz which was introduced from China. The results were summarized as follows; The plant height of Flower Organ Cutting(F.O.N.C.) treatment short by 1.7∼2.5 cm compared to Flower Organ Non-Cutting(F.O.N.C.) treatment. But number of stem and stem diameter of F.0.C treatment were similar to that of F.O.N.C. treatment. The fresh weight of above-ground part of F.O.N.C. treatment was decreased 48∼60% compare to F.O.C. treatments. The later was period of F.O.C., the higher was fresh weight of above-ground part. The growth of underground part was more F.O.C. at July 15 and Aug. 20 treatments than F.O.N.D treatment. The dry rhizome yield of F.O.C. at July 15 treatment was increased 40% compare to F.O.N.D treatment. Essential oil content of F.O.C. at July 15 treatment was increased 12% compare to F.O.N.D treatment.

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