• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권4호
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• pp.269-273
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• 2010

We introduce the concepts of strongly $s{\gamma}$-closed graph, $s{\gamma}$-compactness and $s{\gamma}-T_2$ space and study the relationships between such concepts and weakly $s{\gamma}$-continuous functions.

• Korean Journal of Mathematics
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• 제8권2호
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• pp.163-172
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• 2000

Let $\mathcal{S}^{\prime}(\mathbb{R})$ be the dual of the Schwartz spaces $\mathcal{S}(\mathbb{R})$), A be a self-adjoint operator in $L^2(\mathbb{R})$ and ${\Gamma}(A)^*$ be the adjoint operator of ${\Gamma}(A)$ which is the second quantization operator of A. It is proven that under a suitable condition on A there exists a nuclear subspace $\mathcal{S}$ of a fundamental space $\mathcal{S}_A$ of Hida's type on $\mathcal{S}^{\prime}(\mathbb{R})$) such that ${\Gamma}(A)\mathcal{S}{\subset}\mathcal{S}$ and $e^{-t{\Gamma}(A)}\mathcal{S}{\subset}\mathcal{S}$, which enables us to show that a stochastic differential equation: $$dX(t)=dW(t)-{\Gamma}(A)^*X(t)dt$$, arising from the central limit theorem for spatially extended neurons has an unique solution on the dual space $\mathcal{S}^{\prime}$ of $\mathcal{S}$.

• 대한수학회지
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• 제44권4호
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• pp.1025-1050
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• 2007

Let $X_k(x)=({\int}^T_o{\alpha}_1(s)dx(s),...,{\int}^T_o{\alpha}_k(s)dx(s))\;and\;X_{\tau}(x)=(x(t_1),...,x(t_k))$ on the classical Wiener space, where ${{\alpha}_1,...,{\alpha}_k}$ is an orthonormal subset of $L_2$ [0, T] and ${\tau}:0 is a partition of [0, T]. In this paper, we establish a change of scale formula for conditional Wiener integrals $E[G_{\gamma}|X_k]$ of functions on classical Wiener space having the form $$G_{\gamma}(x)=F(x){\Psi}({\int}^T_ov_1(s)dx(s),...,{\int}^T_o\;v_{\gamma}(s)dx(s))$$, for $F{\in}S\;and\;{\Psi}={\psi}+{\phi}({\psi}{\in}L_p(\mathbb{R}^{\gamma}),\;{\phi}{\in}\hat{M}(\mathbb{R}^{\gamma}))$, which need not be bounded or continuous. Here S is a Banach algebra on classical Wiener space and $\hat{M}(\mathbb{R}^{\gamma})$ is the space of Fourier transforms of measures of bounded variation over $\mathbb{R}^{\gamma}$. As results of the formula, we derive a change of scale formula for the conditional Wiener integrals $E[G_{\gamma}|X_{\tau}]\;and\;E[F|X_{\tau}]$. Finally, we show that the analytic Feynman integral of F can be expressed as a limit of a change of scale transformation of the conditional Wiener integral of F using an inversion formula which changes the conditional Wiener integral of F to an ordinary Wiener integral of F, and then we obtain another type of change of scale formula for Wiener integrals of F.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.13-30
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• 2010

Let C be a nonempty closed convex subset of a real Hilbert space H. Consider the following iterative algorithm given by $x_0\;{\in}\;C$ arbitrarily chosen, $x_{n+1}\;=\;{\alpha}_n{\gamma}f(W_nx_n)+{\beta}_nx_n+((1-{\beta}_n)I-{\alpha}_nA)W_nP_C(I-s_nB)x_n$, ${\forall}_n\;{\geq}\;0$, where $\gamma$ > 0, B : C $\rightarrow$ H is a $\beta$-inverse-strongly monotone mapping, f is a contraction of H into itself with a coefficient $\alpha$ (0 < $\alpha$ < 1), $P_C$ is a projection of H onto C, A is a strongly positive linear bounded operator on H and $W_n$ is the W-mapping generated by a finite family of nonexpansive mappings $T_1$, $T_2$, ${\ldots}$, $T_N$ and {$\lambda_{n,1}$}, {$\lambda_{n,2}$}, ${\ldots}$, {$\lambda_{n,N}$}. Nonexpansivity of each $T_i$ ensures the nonexpansivity of $W_n$. We prove that the sequence {$x_n$} generated by the above iterative algorithm converges strongly to a common fixed point $q\;{\in}\;F$ := $\bigcap^N_{i=1}F(T_i)\;\bigcap\;VI(C,\;B)$ which solves the variational inequality $\langle({\gamma}f\;-\;A)q,\;p\;-\;q{\rangle}\;{\leq}\;0$ for all $p\;{\in}\;F$. Using this result, we consider the problem of finding a common fixed point of a finite family of nonexpansive mappings and a strictly pseudocontractive mapping and the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of zeros of an inverse-strongly monotone mapping. The results obtained in this paper extend and improve the several recent results in this area.

• Journal of Astronomy and Space Sciences
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• 제16권1호
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• pp.31-40
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• 1999

Svechnikov & Kuznetsova(1990)의 목록으로부터 761개의 접촉식쌍성을 택하여 그의 물리적 특성에 따라 공통 복사대기층을 갖는 CE형과 공통 대류대기층을 갖는 CW형으로 분류하여 질량비에 따른 그의 특성을 분석하였다. 그 결과 분광형이 조기형인 CE형은 만기형인 CW 형에 비교하여 주성과 반성의 온도차($$\mid${Delta}T$\mid$$)가 크며 주기는 길게 나타났다. 그런데 CW형은 CE형에 비교하여 질량비가 다소 좁은 범위(0.3$L_2/L_1=0.01+0.89q$의 상관 관계를 보였다. 한편, 질량비에 따른 반경과의 관계에서는 CE형과 CWs형의 차이의 원인이 반성의 반경 때문임을 확인하였으며, CW형 접촉식쌍성의 질량비에 따른 두 별의 반경의 합과 반경비와의 새로운 관계를 제시하였다.

• 대한수학회지
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• 제32권3호
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• pp.389-399
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• 1995

We consider the reaction-diffusion system of two-component model in one-dimensional space described by $$ (1) u_s = d_1 u_{xx} + f(u, \upsilon) \upsilon_t = d_2\upsilon_{xx} + \gammag(u, \upsilon) $$ where $d_1$ and $d_2$ are the diffusion rates of u and $\upsilon$, and $\gamma$ is the ration of reaction rates. It is interesting the case of that there are differences in the diffusion and reaction rates of u and $\upsilon$.

• 한국자원식물학회지
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• 제27권5호
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• pp.429-438
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• 2014

본 연구에서는 감마선 조사가 총목피 추출물의 생리활성에 미치는 영향을 검토하였다. 감마선 조사한 총목피의 감마선 조사여부를 확인하기 위하여 전자스핀공명(ESR) 분석을 시행한 결과 대칭적인 unspecific central ESR 신호 좌우로 cellulose를 함유한 조사 식품에서 나타나는 한 쌍의 peak가 6.0 mT의 공간을 두고 나타나 감마선을 조사한 시료로 판별되었다. 감마선 조사된 총목피의 최적 추출조건은 10 kGy를 조사한 시료를 50% ethanol을 사용하여 15시간 추출이었다. 감마선을 조사한 총목피의 항산화 효과를 확인한 결과 DPPH radical 소거효과와 ABTS radical 저해는 총목피의 물 추출물과 50% ethanol 추출물의 경우, 비조사구와 조사구를 저 농도인 $50{\mu}g/m{\ell}$ 처리하였을 때 각각 80%와 98% 이상의 매우 높은 저해 효과를 나타내었다. 지용성 물질의 항산화 활성의 지표인 antioxidant Protention Factor (PF)는 2.18~2.78 PF로 매우 높은 PF값을 나타내었다. TBARs의 경우 물과 ethanol 추출물 모두 높은 TBARs값을 나타내었다. 물 추출물은 감마선의 조사에 의한 TBARs 저해능의 상승은 관찰되지 않았으나, ethanol 추출물은 10 kGy의 감마선조사에 의해 TBARs 저해능의 상승이 약하게 관찰되었다. 이상의 결과 총목피는 감마선의 조사에 의해서 총목피의 phenolic 성분들의 용출율과 항산화 효과가 증대되는 현상을 확인하였다. 또한 감마선 조사가 식물체로부터 생리활성물질의 용출 증대와 항산화 활성을 증폭시킬 수 있는 수단으로 활용이 가능할 것이라 판단되었다.

• 천문학회보
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• 제42권2호
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• pp.43.3-43.3
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• 2017

NGC 6822 is a dwarf irregular galaxy in the Local Group and it is located in 500 kpc, further than the Large Magellanic Cloud and the Small Magellanic Cloud. Therefore, we can study star-forming processes by local condition in NGC 6822 instead of tidal force of the Galactic gravitational field. Hubble V is the brightest of several H II complexes in this galaxy. We observed Hubble V by using IGRINS attached on the 2.7 m telescope at the McDonald Observatory in Texas, US in May 2016. We performed a spectral mapping of $15^{{\prime}{\prime}}{\times} 7^{{\prime}{\prime}}$area on H and K bands, and detected emission lines of bright $Br{\gamma}\;{\lambda}2.1661{\mu}m$ and weak He I ${\lambda}2.0587{\mu}m$. Molecular hydrogen lines of 1-0S(1) ${\lambda}2.1218{\mu}m$, 2-1 S(1) ${\lambda}2.2477{\mu}m$, and 1-0 S(0) ${\lambda}2.2227{\mu}m$ was also detected. These emission lines show the structure of an ionized core and excited surface of clouds by far-ultraviolet photons, photodissociation region (PDR). We present three-dimensional maps of emission line distributions through multi slit scanning data and compare these results with the previous study. This presentation shows the physical structure of the star-forming regions and we discuss a PDR model and an evolution of Hubble V complex.

• 대한화학회지
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• 제35권6호
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• pp.603-606
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• 1991

Probenecid의 결정구조는 graphite-monochromated Mo-K${\alpha}$선을 사용하는 ENRAF-NONIUS CAD-4 자동 X-선 4축 회절기에서 수집된 2574개의 독립적 회절 반점들을 이용하여 결정되었다. 결정은 triclinic system에 속하고, 공간군은 P$\bar{1}$이며, 단위세포 상수는 a = 7.535(2)${\AA}$, b = 18.473 (5)${\AA}$, c = 5.317(9)${\AA}$, ${\alpha} = 92.00(5)^{\circ}$, ${\beta} = 99.02(5)^{\circ}$, ${\gamma} = 94.89(2)^{\circ}$, V = 727.4(2)${\AA}^3$이었다. 이 밖의 다른 parameters로서, Z = 2, $D_m$ = 1.310, $D_x = 1.302 gcm^{-3}$, ${\mu} = 1.88 cm^{-1}$, F(000) = 304, and T = 298 K이었다. 5${\sigma}(F_o)$ 이상인 1209개의 반점들에대한 최종 R및 $R_w$는 각각 0.0676과 0.0630이었다. 질소원자 N(13)의 공간배열에서, 결합각의 합은 350.9이며, 질소 주위의 세 원자가 이루는 평면에서 0.268(6)${\AA}$ 만큼 벗어나 있다. S(1)-C(4) 결합길이는 1.792(6)${\AA}$이며 C(4)-S(1)-N(13) 결합각은 $106.5(3)^{\circ}$이다. 분자의 전체적인 형태는 황에 대하여 접혀진 구조를 나타내고 있다.

• 천문학논총
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• 제30권2호
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• pp.679-682
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• 2015

The Hiroshima Astrophysical Science Center (HASC) was founded in 2004 at Hiroshima University, Japan. The main mission of this institute is the observational study of various transient objects including gamma-ray bursts, supernovae, novae, cataclysmic variables, and active galactic nuclei by means of multi-wavelength observations. HASC consists of three divisions; the optical-infrared astronomy division, high-energy astronomy division, and theoretical astronomy division. HASC is operating the 1.5m optical-infrared telescope Kanata, which is dedicated to follow-up and monitoring observations of transient objects. The high-energy division is the key operation center for the Fermi gamma-ray space telescope. HASC and the high-energy astronomy group in the department of physical science at Hiroshima University are closely collaborating with each other to promote multi-wavelength time-domain astronomy. We report the recent activities of HASC and some science topics pursued by this multi-wavelength collaboration.