• Title/Summary/Keyword: $R_1$-space

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A Study on the Architectural Plan Characteristics of R&D Evaluation Center (R&D평가센터의 건축계획특성에 관한 연구)

  • Im, Yang-Bin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.12
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    • pp.816-821
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    • 2019
  • This study shows that it is reasonable for an R&D Information and Evaluation Center to have a building with the fifth floor above the ground and the second floor below the ground. A survey was conducted with 22,655 researchers who are registered in the NRF database. The researchers provided 883 responses. The results indicate that about 56% of the respondents positively support the construction of the NFR R&D Information and Evaluation Center. The survey results show that many respondents recognize that both evaluation and information integration functions among the NRF's roles are very important compared to other roles. The findings of the economic validity analysis support this statement. Based on the current demand for the construction of the R&D Information and Evaluation Center, this study investigates whether it is reasonable to build a new center in the available space while examining an environment focused on a physical work space and looking at significant results obtained through a cost-benefit analysis.

ON A CHARACTERIZATION OF ROUND SPHERES

  • Onat, Leyla
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.681-685
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    • 2002
  • It is shown that, an immersion of n-dimensional compact manifold without boundary into (n + 1)-dimensional Euclidean space, hyperbolic space or the open half spheres, is a totally umbilic immersion if for some r, r =2, 3, …, n the r-th mean curvature Hr does not vanish and there are nonnegative constants $C_1$, $C_2$, …, $C_{r}$ such that (equation omitted)d)

On Solutions of Representots In Reproducing Kernel Space W$^2_2$(R)

  • Yoon, Sun-Ho;Lee, Jung-Gon;Lee, Dong--Myung
    • Journal for History of Mathematics
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    • v.12 no.1
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    • pp.65-72
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    • 1999
  • In this article, we give a historical referencing overview and compressed illuminating procedure of deriving the repersentors R$_y$(x) in Reproducing Kernel space W$^2_2$(R), being needed to find the solutions of integral equations, which construct the wavelets in L$^2$(1R).

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Formation of Mo(NAr)(PMe₃)₂Cl₃and Mo₂(PMe₃)₄Cl₄from Reduction of Mo(NAr)₂Cl₂(DME) with Mg in the Presence of PMe₃[Ar=2,6-diisopropylphenyl]

  • 정건수;박병규;Lee, Soon W.
    • Bulletin of the Korean Chemical Society
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    • v.18 no.2
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    • pp.213-217
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    • 1997
  • Magnesium reduction of Mo(N-C6H3-2,6-i-Pr2)2Cl2(DME) in the presence of trimethylphosphine led to a mixture of Mo(N-C6H3-2,6-i-Pr2)(PMe3)2Cl3, 1, and Mo2(PMe3)4Cl4, 2. In solution 1 is slowly air-oxidized to Mo(N-2,6-i-Pr2-C6H3)(OPMe3)(PMe3)Cl3, 3. 1 is chemically inert to carbon nucleophiles (ZnMe2, ZnEt2, AlMe3, AlEt3, LiCp, NaCp, TlCp, NaCp*, MeMgBr, EtMgBr), oxygen nucleophiles (LiOEt, LiO-i-Pr, LiOPh, LiOSPh), and hydrides (LiBEt3H, LiBEt3D). Crystal data for 1: orthorhombic space group P212121, a=11.312(3) Å, b=11.908(3) Å, c=19.381(6) Å, Z=4, R(wR2)=0.0463 (0.1067). Crystal data for 2: monoclinic space group Cc, a=18.384(3) Å, b=9.181(2) Å, c=19.118(3) Å, b=124.98(1)°, Z=4, R(wR2)=0.0228 (0.0568). Crystal data for 3: orthorhombic space group P212121, a=11.464(1) Å, b=14.081(2) Å, c=16.614(3) Å, Z=4, R(wR2)=0.0394 (0.0923).

CLOSED CONVEX SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACES

  • Sun, Zhongyang
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.2001-2011
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    • 2017
  • In 1997, H. Li [12] proposed a conjecture: if $M^n(n{\geqslant}3)$ is a complete spacelike hypersurface in de Sitter space $S^{n+1}_1(1)$ with constant normalized scalar curvature R satisfying $\frac{n-2}{n}{\leqslant}R{\leqslant}1$, then is $M^n$ totally umbilical? Recently, F. E. C. Camargo et al. ([5]) partially proved the conjecture. In this paper, from a different viewpoint, we study closed convex spacelike hypersurface $M^n$ in locally symmetric Lorentz space $L^{n+1}_1$ and also prove that $M^n$ is totally umbilical if the square of length of second fundamental form of the closed convex spacelike hypersurface $M^n$ is constant, i.e., Theorem 1. On the other hand, we obtain that if the sectional curvature of the closed convex spacelike hypersurface $M^n$ in locally symmetric Lorentz space $L^{n+1}_1$ satisfies $K(M^n)$ > 0, then $M^n$ is totally umbilical, i.e., Theorem 2.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH 𝜉-PARALLEL STRUCTURE JACOBI OPERATOR

  • U-Hang KI;Hyunjung SONG
    • East Asian mathematical journal
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    • v.40 no.1
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    • pp.1-23
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    • 2024
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c). We denote by A, K and L the second fundamental forms with respect to the unit normal vector C, D and E respectively, where C is the distinguished normal vector, and by R𝜉 = R(𝜉, ·)𝜉 the structure Jacobi operator. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y , and at the same time R𝜉K = KR𝜉 and ∇𝜙𝜉𝜉R𝜉 = 0. In this paper, we prove that if it satisfies ∇𝜉R𝜉 = 0 on M, then M is a real hypersurface of type (A) in Mn(c) provided that the scalar curvature $\bar{r}$ of M holds $\bar{r}-2(n-1)c{\leq}0$.

Korea Pathfinder Lunar Orbiter (KPLO) Operation: From Design to Initial Results

  • Moon-Jin Jeon;Young-Ho Cho;Eunhyeuk Kim;Dong-Gyu Kim;Young-Joo Song;SeungBum Hong;Jonghee Bae;Jun Bang;Jo Ryeong Yim;Dae-Kwan Kim
    • Journal of Astronomy and Space Sciences
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    • v.41 no.1
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    • pp.43-60
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    • 2024
  • Korea Pathfinder Lunar Orbiter (KPLO) is South Korea's first space exploration mission, developed by the Korea Aerospace Research Institute. It aims to develop technologies for lunar exploration, explore lunar science, and test new technologies. KPLO was launched on August 5, 2022, by a Falcon-9 launch vehicle from cape canaveral space force station (CCSFS) in the United States and placed on a ballistic lunar transfer (BLT) trajectory. A total of four trajectory correction maneuvers were performed during the approximately 4.5-month trans-lunar cruise phase to reach the Moon. Starting with the first lunar orbit insertion (LOI) maneuver on December 16, the spacecraft performed a total of three maneuvers before arriving at the lunar mission orbit, at an altitude of 100 kilometers, on December 27, 2022. After entering lunar orbit, the commissioning phase validated the operation of the mission mode, in which the payload is oriented toward the center of the Moon. After completing about one month of commissioning, normal mission operations began, and each payload successfully performed its planned mission. All of the spacecraft operations that KPLO performs from launch to normal operations were designed through the system operations design process. This includes operations that are automatically initiated post-separation from the launch vehicle, as well as those in lunar transfer orbit and lunar mission orbit. Key operational procedures such as the spacecraft's initial checkout, trajectory correction maneuvers, LOI, and commissioning were developed during the early operation preparation phase. These procedures were executed effectively during both the early and normal operation phases. The successful execution of these operations confirms the robust verification of the system operation.

VSOP-2 운용을 위한 37-38GHz 대역 관련 ITU-R WP7B 회의 결과

  • Chung, Hyun-Soo;Oh, Se-Jin;Je, Do-Heung;Roh, Duk-Gyoo;Sohn, Bong-Won;Lee, Sang-Sung;Kim, Hyo-Ryoung
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.88.2-88.2
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    • 2010
  • 세계전파통신회의 (WRC; World Radiocommunication Conference)회의는 국제전기통신연합 (ITU)에서 발행하는 국제 전파법과 관련된 전파규약을 갱신하거나 새로운 법 제정을 위해, 3-4년 간격으로 개최되는 전파통신 관련 회의라고 할 수 있다. WRC-12회의는 2012년 1월 23일 -2월 17일에 걸쳐 스위스 제네바에서 개최되며, 동회의의 원활한 진행을 위하여, 25개의 WRC 의제들에 대한 ITU 산하의 연구반 (ITU-R Study Group) 연구결과들을 기술보고서로 확정하기 위한 회의(CPM-11, Conference Preparatory Meeting)가 2011년 2월 14일-25일에 걸쳐 스위스 제네바에서 역시 개최된다. 이에 한국천문연구원에서는 KVN과 일본국립천문대(ASTRO-G)간의 원활한 국제 공동 VLBI연구를 위해, WRC회의에서 최종적인 규정개정을 함에 있어서 필요한 CPM기술문서작성과 관련된 ITU-R 연구반 회의에서 주도적인 역할을 수행하고 있다. 따라서 본 발표에서는 2010년 6월 10-18일에 걸쳐 스위스 제네바에서 진행되었던 ITU-R WP7B, 7D 회의에서, 우리나라가 전파천문업무와 관련된 기술문서 개정사항에 대하여 제출하였던 제안결과 및 회의 주요 결과를 소개하고, 전파천문업무 보호 및 22 GHz 대역 달탐사, 38 GHz 대역 Space-VLBI운용대역과 관련된 WRC-12 의제 1.6, 1.11, 1.12 등에 대한 향후 대응방안을 알아보고자 한다.

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275 GHz 이상 전파천문대역과 관련된 ITU-R WP7D 회의 결과

  • Chang, Hyun-Soo;Oh, Se-Jin;Je, Do-Heung;Roh, Duk-Gyoo;Sohn, Bong-Won;Lee, Sang-Sung;Kim, Huo-Ryoung
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.87.2-87.2
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    • 2010
  • 세계전파통신회의 (WRC; World Radiocommunication Conference)회의는 국제전기통신연합 (ITU)에서 발행하는 국제 전파법과 관련된 전파규약을 갱신하거나 새로운 법 제정을 위해, 3-4년 간격으로 개최되는 전파통신 관련 회의라고 할 수 있다. WRC-12회의는 2012년 1월 23일 -2월 17일에 걸쳐 스위스 제네바에서 개최되며, 동회의의 원활한 진행을 위하여, 25개의 WRC 의제들에 대한 ITU 산하의 연구반 (ITU-R Study Group) 연구결과들을 기술보고서로 확정하기 위한 회의(CPM-11, Conference Preparatory Meeting)가 2011년 2월 14일 -25일에 걸쳐 스위스 제네바에서 역시 개최된다. 이에 한국천문연구원에서는 275 GHz 이상 대역에서의 전파천문업무의 원활한 운용을 위해, WRC회의에서 최종적인 규정개정을 함에 있어서 필요한 CPM기술문서작성과 관련된 ITU-R 연구반 회의에서 주도적인 역할을 수행하고 있다. 따라서 본 발표에서는 2010년 6월 10-18일에 걸쳐 스위스 제네바에서 진행되었던 ITU-R WP7B, 7D 회의에서, 우리나라가 전파천문업무와 관련된 기술문서 개정사항에 대하여 제출하였던 제안결과 및 회의 주요 결과를 소개하고, 전파천문업무 보호 및 22 GHz 대역 달탐사, 38 GHz 대역 Space-VLBI운용대역과 관련된 WRC-12 의제 1.6, 1.11, 1.12 등에 대한 향후 대응방안을 알아보고자 한다.

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RELATIONS BETWEEN THE ITO PROCESSES

  • Choi, Won
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.207-213
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    • 1995
  • Let $(\Omega, F, P)$ be a probability space with F a $\sigma$-algebra of subsets of the measure space $\Omega$ and P a probability measure on $\Omega$. Suppose $a > 0$ and let $(F_t)_{t \in [0,a]}$ be an increasing family of sub-$\sigma$-algebras of F. If $r > 0$, let $J = [-r,0]$ and $C(J, R^n)$ the Banach space of all continuous paths $\gamma : J \to R^n$ with the sup-norm $\Vert \gamma \Vert = sup_{s \in J}$\mid$\gamma(s)$\mid$$ where $$\mid$\cdot$\mid$$ denotes the Euclidean norm on $R^n$. Let E,F be separable real Banach spaces and L(E,F) be the Banach space of all continuous linear maps $T : E \to F$.

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