• International Journal of Fuzzy Logic and Intelligent Systems
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• 제2권1호
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• pp.83-88
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• 2002

We study some properties of smooth uniform spaces. We investigate the relationship between smooth topological spaces and smooth uniform spaces. In particular, we define a subspace of a smooth uniform space and a product of smooth uniform spaces.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.435-443
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• 2007

An important approach towards solving the scattered data problem is by using radial basis functions. However, for a large class of smooth basis functions such as Gaussians, the existing theories guarantee the interpolant to approximate well only for a very small class of very smooth approximate which is the so-called 'native' space. The approximands f need to be extremely smooth. Hence, the purpose of this paper is to study approximation by a scattered shifts of a radial basis functions. We provide error estimates on larger spaces, especially on the homogeneous Sobolev spaces.

• 한국조경학회지
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• 제36권4호
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• pp.15-26
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• 2008

본 연구의 목적은 시간의 흐름에 따라 생성되는 사건을 매개체로 하여 골프코스를 해석하고자 하는 것이다. 골프경기를 하면서 티샷, 두 번째 샷, 피팅, 홀아웃과 같은 다양한 사건이 발생하는데, 이러한 사건들을 바탕으로 버디, 파, 보기, 더블보기와 같은 준원인에 의한 사건의 계열화가 발생한다. 그러나 이러한 사건의 계열화는 항상 예측할 수 없는 방향으로 진행된다. 이러한 예측 불가능한 사건의 발생은 공간의 특성을 변화시키는 동시에 골퍼에게는 잊을 수 없는 체험을 제공한다. 질 들뢰즈는 공간의 특성을 홈 패인 공간과 매끈한 공간으로 구분하고 있다. 홈 패인 공간이란 차원적이고 계산되어지고 중심을 가지는 원거리적 공간으로 정주민적 공간의 특성을 지니는 공간이며, 매끈한 공간은 방향적이고 탈중심적이며 촉지적인 근거리적 공간으로 유목민적 공간의 특성을 지니는 공간을 말한다. 본 연구는 이러한 매끈한 공간과 홈 패인 공간을 개념적 기준으로 하여 공간의 특성을 분석하였다. 골프코스는 본래 인공적으로 설계된 매끈한 공간의 특성을 지니고 있으나, 골프경기가 진행되면서 사건생성적인 공간으로 변모한다. 즉, 동적이고 변화무쌍하며, 스케일이 장소에 따라 가변화되는 매끈한 공간으로 탈바꿈하게 된다. 경기를 진행함에 따라 이러한 공간적 특성의 반전은 예측할 수 없는 다양한 사건을 통하여 반복된다. 또한, 경기의 주체인 골퍼는 정위-중심설정-한정-순치라는 일련의 장소만들기 과정을 통하여 골프코스와의 역동적, 유기적 맞물림을 통하여 현상학적 체험과정을 느끼게 된다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제14권3호
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• pp.231-239
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• 2014

It presents the concepts of ordinary smooth interior and ordinary smooth closure of an ordinary subset and their structural properties. It also introduces the notion of ordinary smooth (open) preserving mapping and addresses some their properties. In addition, it develops the notions of ordinary smooth compactness, ordinary smooth almost compactness, and ordinary near compactness and discusses them in the general framework of ordinary smooth topological spaces.

• 호남수학학술지
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• 제34권4호
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• pp.559-570
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• 2012

We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.

• Kyungpook Mathematical Journal
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• 제52권4호
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• pp.459-472
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• 2012

A piecewise smooth system is characterized by non-differentiability on a curve in the phase space. In this paper, we discuss particular bifurcation phenomena in the dynamics of a piecewise smooth system. We consider a two-dimensional piecewise smooth system which is composed of a linear map and a nonlinear map, and analyze the stability of the system to determine the existence of dangerous border-collision bifurcation. We finally present some numerical examples of the bifurcation phenomena in the system.

• 한국지능시스템학회논문지
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• 제20권6호
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• pp.875-883
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• 2010

We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element [Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology $\tau$ and the intuitionistic smooth topology $\eta$ generated by level fuzzy topologies with respect to $\tau$ [Theorem 3.10].

• 한국실내디자인학회논문집
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• 제18권3호
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• pp.47-56
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• 2009

This research aims to analyze the characteristics of the architectural space of Rem Koolhaas based on the spatial discourse of Gilles Deleuze, a philosopher of post-structuralism which comprehends pluralism accepting even contingency and uncertainty beyond deterministic attitudes of structuralism that has led the western discourses since the 19th century. First of all, this research will reflect on Deleuze's spatial concept through literatures and extract the characteristics related to architectural spaces. Then, on the basis of these characteristics, it will analyze the characteristics which were applied to the interior space of the recent architectural works of Rem Koolhaas to find out how Deleuze's spatial dicourse was embodied. Among Deleuze's speculations, the characteristics which falls under the spatial discourse were classified into three categories; degree between the striated space and the smooth one, the space of events and singularity, and the space of the multiple sense. These analysis words are used to look into the correlations among the specific practicing methods embodied in the architecture of Kookhaas. In conclusion, in the architectural space of Rem Koolhaas, it was found that the characteristics of Gilles Deleuze's spatial discourse of post-structuralism were embodied by the methods such as (1) Space of continuous transition, (2) Space of the $multiplicit{\acute{e}}$ accepting contingent events, (3) Space of the multiple sense, and (4) Space of movement.

• 호남수학학술지
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• 제37권4호
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• pp.487-504
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• 2015

For a smooth plane curve, the curvature can be characterized by the rate of change of the angle between the tangent vector and a fixed vector. In this article we prove that the curvature of a space curve can also be given by the rate of change of the locally defined angle between the tangent vector at a point and the nearby point. By using height functions, we introduce turning angle of a space curve and characterize the curvature by the rate of change of the turning angle. The main advantage of the turning angle is that it can be used to characterize the curvature of discrete curves. For this purpose, we introduce a discrete turning angle and a discrete curvature called visual curvature for space curves. We can show that the visual curvature is an approximation of curvature for smooth curves.

• Journal of applied mathematics & informatics
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• 제4권2호
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• pp.477-485
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• 1997

Let E be a smooth Banach space. Suppose T:$E \rightarrow E$ is a strongly accretive map. It is proved that each of the two well known fixed point iteration methods (the Mann and ishikawa iteration methods), under suitable conditions converges strongly to a solution of the equation $T_x=f$.