• 대한수학회지
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• 제48권2호
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• pp.397-420
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• 2011

In this paper we study the structure of closed weakly dense ideals in Privalov spaces $N^p$ (1 < p < $\infty$) of holomorphic functions on the disk $\mathbb{D}$ : |z| < 1. The space $N^p$ with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in $N^p$ is a principal ideal generated by an inner function. Consequently, a closed subspace E of $N^p$ is invariant under multiplication by z if and only if it has the form $IN^p$ for some inner function I. We prove that if $\cal{M}$ is a closed ideal in $N^p$ that is dense in the weak topology of $N^p$, then $\cal{M}$ is generated by a singular inner function. On the other hand, if $S_{\mu}$ is a singular inner function whose associated singular measure $\mu$ has the modulus of continuity $O(t^{(p-1)/p})$, then we prove that the ideal $S_{\mu}N^p$ is weakly dense in $N^p$. Consequently, for such singular inner function $S_{\mu}$, the quotient space $N^p/S_{\mu}N^p$ is an F-space with trivial dual, and hence $N^p$ does not have the separation property.

• 대한전자공학회논문지TC
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• 제37권11호
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• pp.23-31
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• 2000

평면형 구조에서 공간영역 그린함수를 구하기 위해서는 무한 Sommerfeld 적분을 계산하여야 한다. 무한 적분을 짧은 시간에 계산하기 위한 복소 영상법(complex image method)과 2단계 근사화법(two-level method)은 전원점과 관측점 사이의 거리가 가까운 경우에는 정확하지만, 거리가 멀어지면 오차가 커지게 된 다. 본 논문에서는 실수축 상의 적분경로에서 파수영역 그린함수를 근사화 함으로써 코플래너 도파로 구조에서 기존의 결과에 비해 정확한 closed-form 그린함수를 구하는 방법을 제시하였다.

• 마이크로전자및패키징학회지
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• 제22권2호
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• pp.21-26
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• 2015

낮은 열전도도 및 높은 비표면적 특성으로 흡착제 및 가스센서 등 여러 응용 분야로 연구되고 있는 규칙적 메조기공 세라믹 소재는 폐기공 메조기공 구조와 개기공 메조기공 구조로 나뉜다. 이중 폐기공 메조기공 세라믹 소재는 개기공 메조기공 세라믹 소재보다 높은 기계적 특성을 가짐에도 내부에 존재하는 기공을 이용한 비표면적 증가에 한계가 있어 응용에 제약을 가지고 있다. 본 연구팀은 규칙적 폐기공 메조기공 타이타니아($TiO_2$)의 열처리 시간 변화에 따른 입자성장으로부터 폐기공 연결의 도입을 통하여 비표면적을 변화시키는 연구를 수행하고자 하였다. 열처리 시간 증가시 타이타니아 결정상의 변화는 없었으며 입자성장이 일어나게 되면서 기공구조의 무너짐 및 기공의 연결성 증가를 확인할 수 있었다. 24시간 열처리 시료의 경우, 기공률은 36.3%에 34.1%로 감소하였으나 기공의 연결도 증가로 인해 비표면적은 $48m^2/g$에서 $156m^2/g$으로 증가하였다. 이러한 비표면적의 증가는 CO 가스의 감응도 측정을 통하여 감응도가 약 7.4배 증가하는 것으로부터 확인될 수 있었다.

• 한국공간구조학회논문집
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• 제13권2호
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• pp.75-82
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• 2013

For each cable component in a cable dome structure, pre-tension is needed for stability of whole the structure. The summation of these pre-tension at each joint should be zero to achieve the self equilibrium structure. The first step in cable dome structure analysis is to find the ratio of pre-tension in each member which can produce a stable and structure on self-equilibrium. In this paper, a new method based on the basic principle of closed force polygon for equilibrium system is proposed for the determination of self-equilibrium mode of cable dome structure. A single layer cable dome and two multi layer type domes have been analyzed. The ratios of cable members are determined by the presented method, and check the validation of the results by numerical calculation.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권4호
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• pp.349-361
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• 2012

CAT(0) cubical complexes are a key to formulate geodesic spaces with nonpositive curvatures. The paper discusses the median structure of CAT90) cubical complexes. Especially, the underlying graph of a CAT(0) cubical complex is a median graph. Using the idea of median structure, this paper shows that groups acting on median complexes L(${\delta}$) groups and, in addition, work L(0) groups are closed under free product.

• 대한수학회보
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• 제53권1호
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• pp.83-90
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• 2016

We show that any orthogonal almost complex structure on a warped product Riemannian manifold of an oriented closed surface with nonnegative Gaussian curvature and a round 4-sphere is never integrable. This provides a partial answer to a question raised by E. Calabi.

• 대한수학회지
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• 제33권4호
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• pp.1139-1171
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• 1996

The purpose of our research is to understand geometric and topological aspects of real projective structures on surfaces. A real projective surface is a differentiable surface with an atlas of charts to $RP^2$ such that transition functions are restrictions of projective automorphisms of $RP^2$. Since such an atlas lifts projective geometry on $RP^2$ to the surface locally and consistently, one can study the global projective geometry of surfaces.

• 대한수학회보
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• 제38권3호
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• pp.551-564
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• 2001

We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functional which involve scalar curvature, defined on the space of Weyl structures on a closed 4-manifold. The main goal here is to provide a framework to analyze critical Weyl structures by defining functionals, discussing function spaces and writing down basic formulas for the equations of critical points.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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• pp.835-840
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• 1989

We present new efficient interaction measures which can be used for control operability analysis and Control Structure selection in decentralized control systems. These measures can indicate not only the stability of decentralized control systems but also the true closed-loop Performance of the decentralized control structure. Relationships between published measures and proposed ones are clarified. Some important characteristics of these. measures are rigorously analyzed. The significance and the usefulness of the proposed method have been illustrated through examples found in the literature.

• 전자공학회논문지S
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• 제34S권9호
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• pp.60-66
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• 1997

WE consider the stabilization of a class of multivariable nonlinear system using variable structure output feedback control. A high-gain observer is used to estimate state variable while rejecting the effect of the disturbances. We design a globally bounded output feedback variable structure controller that semi-globally stabilize the closed-loop system, while state variables do not exhibit a peaking.