• 대한수학회보
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• 제56권5호
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• pp.1187-1198
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• 2019

Let R be a domain with its field Q of quotients. An R-module M is said to be weak w-projective if $Ext^1_R(M,N)=0$ for all $N{\in}{\mathcal{P}}^{\dagger}_w$, where ${\mathcal{P}}^{\dagger}_w$ denotes the class of GV-torsionfree R-modules N with the property that $Ext^k_R(M,N)=0$ for all w-projective R-modules M and for all integers $k{\geq}1$. In this paper, we define a domain R to be w-Matlis if the weak w-projective dimension of the R-module Q is ${\leq}1$. To characterize w-Matlis domains, we introduce the concept of w-Matlis cotorsion modules and study some basic properties of w-Matlis modules. Using these concepts, we show that R is a w-Matlis domain if and only if $Ext^k_R(Q,D)=0$ for any ${\mathcal{P}}^{\dagger}_w$-divisible R-module D and any integer $k{\geq}1$, if and only if every ${\mathcal{P}}^{\dagger}_w$-divisible module is w-Matlis cotorsion, if and only if w.w-pdRQ/$R{\leq}1$.

• 대한수학회지
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• 제49권2호
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• pp.435-447
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• 2012

Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever $I^nK{\subseteq}Q$, where $I{\subseteq}h(R)$, n is a positive integer, and $K{\subseteq}h(M)$, then $IK{\subseteq}Q$. We characterize semiprime submodules of M. For example, we show that a proper graded submodule Q of M is semiprime if and only if grad$(Q){\cap}h(M)=Q+{\cap}h(M)$. Furthermore if M is finitely generated then we prove that every proper graded submodule of M is contained in a graded semiprime submodule of M. A proper graded submodule Q of M is said to be almost semiprime if (grad(Q)$\cap$h(M))n(grad$(0_M){\cap}h(M)$) = (Q$\cap$h(M))n(grad$(0_M){\cap}Q{\cap}h(M)$). Let K, Q be graded submodules of M. If K and Q are almost semiprime in M such that Q + K $\neq$ M and $Q{\cap}K{\subseteq}M_g$ for all $g{\in}G$, then we prove that Q + K is almost semiprime in M.

• 대한수학회보
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• 제42권3호
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• pp.485-489
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• 2005

We show that any Drinfeld module of rank 2 on IF'q[T] over a global function field K has a global minimal Drinfeld module equation if and only if h(O$_{K}$) = 1.

• 인지과학
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• 제14권3호
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• pp.13-21
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• 2003

이 연구에서는 기존의 지능형 교수기계와 또래 튜터링의 단점을 보완하여 '가르치기를 통한 학습'을 위한 교수가능 에이전트(Teachable Agent, 이하 TA) 의 이론적 배경 및 설계방안을 제시하고자 한다. TA는 학습자가 컴퓨터 에이전트를 가르치는 과정을 통해 학습하는 시스템으로 교수 Module, 묻고 답하기 Module, 테스트 Module, 학습자료 Module 등의 4 가지 Module로 구성된다. 교수 Module에서는 개념도(concept map)의 구성을 통해 튜터 역할을 하는 학습자가 TA 의 심성모형 (mental model)을 수정하고 update하게 되며, 묻고 답하기 Module에서는 인터렉티브 창을 통해 튜터와 TA가 제한된 방식으로 학습내용에 관한 질문과 응답을 함으로써 개념도를 수정보완하게 된다. 테스트 Module에서는 튜터가 가르친 TA가 미리 정해놓은 학습목표에 도달하였는지를 평가하게 된다. 테스트 결과 TA가 일정 수준에 도달하지 못한 경우에는 개념도의 재수정 과정을 통해 계속적인 학습이 이루어지도록 한다. 학습자료 Module은 튜터가 참고할 자료를 제공해 주는 Module이다. 이러한 TA는 튜터의 역할을 담당하는 학습자에게 깊이 있는 인지적 처리와 능동적인 학습동기를 경험하도록 함으로써 실제 교육현장에서의 유용한 교수/학습도구로 활용될 수 있을 것으로 기대된다.

• Korean Journal of Mathematics
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• 제16권3호
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• pp.323-334
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• 2008

We define injective and projective representations of quivers with two vertices with n arrows. In the representation of quivers we denote n edges between two vertices as ${\Rightarrow}$ and n maps as $f_1{\sim}f_n$, and $E{\oplus}E{\oplus}{\cdots}{\oplus}E$ (n times) as ${\oplus}_nE$. We show that if E is an injective left R-module, then $${\oplus}_nE{\Longrightarrow[50]^{p_1{\sim}p_n}}E$$ is an injective representation of $Q={\bullet}{\Rightarrow}{\bullet}$ where $p_i(a_1,a_2,{\cdots},a_n)=a_i,\;i{\in}\{1,2,{\cdots},n\}$. Dually we show that if $M_1{\Longrightarrow[50]^{f_1{\sim}f_n}}M_2$ is an injective representation of a quiver $Q={\bullet}{\Rightarrow}{\bullet}$ then $M_1$ and $M_2$ are injective left R-modules. We also show that if P is a projective left R-module, then $$P\Longrightarrow[50]^{i_1{\sim}i_n}{\oplus}_nP$$ is a projective representation of $Q={\bullet}{\Rightarrow}{\bullet}$ where $i_k$ is the kth injection. And if $M_1\Longrightarrow[50]^{f_1{\sim}f_n}M_2$ is an projective representation of a quiver $Q={\bullet}{\Rightarrow}{\bullet}$ then $M_1$ and $M_2$ are projective left R-modules.

• 전자공학회논문지S
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• 제34S권6호
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• pp.67-76
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• 1997

In radar signal processing, an A/D converter with sufficient dynamic range and high sampling speed is required to detect the weakest target signals in heavy clutter and ECM environments. As the sampling frequency increases, the amount of digital data transfered to the signal processing module is also increased. To overcome these massive data transfer burden, we need an A/D conversion module with an enough data transfer rate. In this paper, we proposed an implementation scheme of a new A/D conversio module that can be used in multi-mode 3-D phased array radar signal processing system, and evaluated the performance. The proposed A/D conversion module is implemented with a standard A/D converter and a 6U-standard VME bus.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1993년도 하계학술대회 논문집 A
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• pp.460-463
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• 1993

In this paper, The laser transmitter module is designed as the subsystem of the high repetitive laser rangefinder. The module consists of high voltage power supply, high voltage control circuits, high voltage discharger, electro-optic Q-switch driver, and laser resonator. The high voltage power supply is composed of 2-phase flyback converter. And it has 220W power level and 78% conversion efficiency. From the Q-switch driver of the crossed porro resonator, the phase retardation voltage is switched from 600V to -1500V with 200ns falling time. The module can be operated up to 15Hz. And it generates the laser pulse which has 20ns width and 80mJ.

• 대한기계학회논문집B
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• 제24권5호
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• pp.632-639
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• 2000

Conjugate heat transfer from a heat generating module ($31{\times}31{\times}7mm^3$) bonded through the module support on the floor of a parallel-plate channel(20mm high, 400mm wide, and 800mm long) to mixed convective air flow(0.2${\sim}$0.9m/s) is studied experimentally. The input power to the module is changed in a range 1.0${\sim}$4.5W, the floor thickness 0.2${\sim}$5mm, and the thermal resistance of module support, Rc:=0.06, 1.03 and 82.0K/W. Thermal conductance(Uc) of the board and convective thermal conductance($U_A$) from the module were derived, and the effect of V; Rc and t on Uc was investigated. It is found that the conjugate conductance (Uc) and the conductive heat transfer ratio ($Q_B$/Q) depend on the thermal resistance of the module support, the air velocity and the board thickness. The change of the module support resistance and the board thickness helps to elucidate the relative significance of heat transfer paths through the module support, the board, and from the board surface to the air. Additional information is investigated about the dependence of the heat transfer rate on the mixed convection parameter.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집D
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• pp.433-439
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• 2001

An experimental study was carried out on the characteristics of the mixed-convection heat transfer from a protruding heat source module which had uniform heat flux and was located on a flat plate in the inclined channel. The effects of the inclined channel(${\varphi}=0{\sim}90^{\circ}$) was studied for the input power($Q=3,\;7W$) and inlet air velocities($V_{i}=0.1{\sim}0.9m/s$). Experimental results indicate that the input power was most effective parameter on the temperature differences between inlet air and module. The effects of the inclined angle was negligible when the inlet velocities were above 0.5m/s and 0.9m/s at Q = 3W, 7W respectively. As the inclined angle of the channel increases, the temperatures of the module are decreased. So we obtained the best condition on the adiabatic board at the vertical channel.

• 한국전자파학회논문지
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• 제14권11호
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• pp.1198-1206
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• 2003

본 논문에서는 도파관 대 마이크로스트립 모드 변환기를 설계하고 이를 바탕으로 도파관 혼합기 모듈을 제작 측정하였다. 설계된 모드 변환기는 반사손실을 최소화하기 위하여 50 $\Omega$ 마이크로스트립 라인의 패턴을 변화시킴으로서 도파관 내 릿지와 마이크로스트립 사이의 불연속부분의 영향을 보상하였다. 이렇게 제작된 모드 변환기를 사용함으로써 밀리미터파 대역에서 개발된 MMIC 칩을 저 손실 guiding이 가능하도록 도파관 내에 장착시켜 시스템으로의 적용이 가능하도록 하였다. 제작된 도파관 혼합기 모듈의 측정 결과, 제공된 MMIC에서 얻어진 혼합기의 사양의 성능저하가 거의 없음을 알 수 있었다.