• 대한수학회논문집
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• 제15권2호
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• pp.371-378
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• 2000

In this paper, we investigate frames that admit a unique uniformity and characterize the completely regular frames which admit a unique uniformity.

• Computers and Concrete
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• 제13권2호
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• pp.271-290
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• 2014

In this study, structural irregularities in plan, which has a considerable effect on earthquake behavior of buildings, have been investigated in detail based on Turkish Earthquake Code 2007. The study consists of six main parametric models and a total of 144 sub-models that are grouped based on RC structural systems such as frame, frame + rigid core, frame with shear wall, and frame with shear wall + rigid core. All models are designed to have both symmetrical plan geometry and regular rigidity distribution. Changes in the earthquake behavior of buildings were evaluated according to the number of storeys, number of axes and the configuration of structural elements. Many findings are obtained and assessed as a result of the analysis for each structural irregularity. The study shows that structural irregularities can be observed in completely symmetric buildings in terms of plan geometry and rigidity distribution.

• 한국수학사학회지
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• 제17권2호
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• pp.73-84
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• 2004

스톤은 스톤 쌍대성에 의하여 완비 불 대수는 극단적으로 비연결인 콤팩트 하우스도르프 공간에 대응되어 불 대수의 범주 Bool에서 단사 대상은 완비 불 대수인 사실에 의하여 0차원 콤팩트 공간의 범주 ZComp의 사영 대상은 극단적으로 비연결인 콤팩트 공간임을 증명하였고, 완전 정규 공간 X가 극단적인 비연결 공간이기 위한 필요충분조건은 X에서 실직선로의 연속함수의 순서집합 C(X, )이 데데킨트 완비인 사실[6]이 드모르간 틀에서도 성립함을 증명하였다[2]. 이 논문에서는 드 모르간의 역사를 조사하고, 드모르간 틀을 도입하여 극단적인 비연결 공간과의 관계와 드 모르간 틀과 불 대수 사이의 관계를 연구한다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권4호
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• pp.296-302
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• 2010

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.

• 대한수학회지
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• 제45권5호
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• pp.1443-1482
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• 2008

In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let $F^{n}$ = (M,F) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle $({\pi}^{*}TM,\tilde{\pi},\widetilde{TM})$ of the tangent bundle $(TM,{\pi},M)$ by the mapping $\tilde{\pi}={\pi}/TM$ and the Cartan Finsler connection of a Finsler space, we obtain an orthonormal frame of sections of ${\pi}^{*}TM$ along a regular curve in $\widetilde{TM}$ and a system of invariants, geometrically associated to the Myller configuration. The fundamental equations are written in a very simple form and we prove a fundamental theorem. Important lines in a Finsler subspace are defined like special lines in a Myller configuration, geometrically associated to the subspace: auto parallels, lines of curvature, asymptotes. Torse forming vector fields with respect to the Cartan Finsler connection are characterized by means of the invariants of the Frenet frame of a versor field along a curve, and the new notion of torse forming vector fields in the sense of Myller is introduced. The particular cases of concurrence and parallelism in the sense of Myller are completely studied, for vector fields from the distribution $T^m$ of the Myller configuration and also from the normal distribution $T^p$.

• 한국항해항만학회지
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• 제31권8호
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• pp.675-681
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• 2007

다방향 불규칙파 중에서의 인장계류식 해양구조물(TLP)의 구조응답 해석을 수행함으로써 다방향 불규칙파가 구조응답에 미치는 영향을 평가하고 있다. 인장계류식 해양구조물에 작용하는 파강제력과 동유체력은 3차원 특이점분포법을 사용하여 각각의 외각요소에 대해 평가하였다. 3차원 골조요소로 모델링하여 유한요소법에 의해 구조응답을 평가하였으며, 인장계류식 해앙구조물의 각 외각요소간의 유체역학적 상호간섭을 고려하여 구조응답을 해석하였다. 구조응답의 주파수 응답함수와 다방향파의 스펙트럼을 이용하여 다방향 불규칙파에 대한 해양구조물의 구조응답 스펙트럼을 구하여 다방향 불규칙파가 인장계류식 해양구조물의 구조응답에 미치는 영향을 평가하였다.