• 대한수학회지
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• 제44권5호
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• pp.1079-1092
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• 2007

This paper studies the deformation theory of a holomorphic surjective map from a normal compact complex space X to a compact $K\"{a}hler$ manifold Y. We will show that when the target has non-negative Kodaira dimension, all deformations of surjective holomorphic maps $X{\rightarrow}Y$ come from automorphisms of an unramified covering of Y and the underlying reduced varieties of associated components of Hol(X, Y) are complex tori. Under the additional assumption that Y is projective algebraic, this was proved in [7]. The proof in [7] uses the algebraicity in an essential way and cannot be generalized directly to the $K\"{a}hler$ setting. A new ingredient here is a careful study of the infinitesimal deformation of orbits of an action of a complex torus. This study, combined with the result for the algebraic case, gives the proof for the $K\"{a}hler$ setting.

• 충청수학회지
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• 제13권1호
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• pp.1-11
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• 2000

The non-commutative torus $A_{\omega}=C^*(\mathbb{Z}^n,{\omega})$ may be realized as the $C^*$-algebra of sections of a locally trivial $C^*$-algebra bundle over $\widehat{S_{\omega}}$ with fibres $C^*(\mathbb{Z}^n/S_{\omega},{\omega}_1)$ for some totally skew multiplier ${\omega}_1$ on $\mathbb{Z}^n/S_{\omega}$. It is shown that $A_{\omega}{\otimes}M_l(\mathbb{C})$ has the trivial bundle structure if and only if $\mathbb{Z}^n/S_{\omega}$ is torsion-free.

• 충청수학회지
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• 제10권1호
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• pp.127-139
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• 1997

The spherical non-commutative $\mathbb{S}_{\omega}$ were defined in [2,3]. Assume that no non-trivial matrix algebra can be factored out of the $\mathbb{S}_{\omega}$, and that the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus with a matrix algebra $M_k(\mathbb{C})$. It is shown that the tensor product of the spherical non-commutative torus $\mathbb{S}_{\omega}$ with the even Cuntz algebra $\mathcal{O}_{2d}$ has a trivial bundle structure if and only if k and 2d - 1 are relatively prime, and that the tensor product of the spherical non-commutative torus $S_{\omega}$ with the generalized Cuntz algebra $\mathcal{O}_{\infty}$ has a non-trivial bundle structure when k > 1.

• 가정과삶의질연구
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• 제18권2호
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• pp.191-202
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• 2000

The purpose of this study was to clarify the wall components of Sarang-taechong in the upper class houses of Chosun dynasty. Physical trace method was used for this study. The samples were taken from the Sarang-taechong of 6 traditional Korean houses; Yunkyungdang, the ancient Chusa estate, Sunkyojang, Chunghyodang, Yangjindant, Unjorn. The makor findings were summarized as follows; 1) The common components of each wall were pillars, sanginbangs(upper horizontal beams), hainbangs (lower horizontal beams), door and windows. Changbangs(wood eave pieces that suported decoration blocks), changyos(a pice of wood fitted between the tops of pillars and upper tori cross beams), and morums(the top wainscot board laid horizontally between the bottom beam and the bottom portion of a window frame) were additional. 2) The composition of every south wall was symmetrical and the other threes were mixed symmetrical and asymmetrical. 3) The image of wall was classified-fine, strong, and modera e, according to the symmetry or asymmetry of wall composition, the width of each components, the kind of window.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2011년도 한국컴퓨터종합학술대회논문집 Vol.38 No.1(B)
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• pp.492-495
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• 2011

그래프 G의 쌍형 다대다 k-서로소민 경로 커버 (k-DPC)는 k개의 서로 다른 소스 정점과 싱크 정점 쌍을 연결하며 그래프에 있는 모든 정점을 지나는 k개의 서로소인 경로 집합을 말한다. 2-차원 $m{\times}n$ 토러스는 길이가 각각 m과 n인 두 사이클 $C_m$과 $C_n$의 곱으로 정의되는 그래프이다. 이 논문에서는 고장 정접이나 에지가 하나인 $m{\times}n$ 이분 토러스(짝수 m,n ${\geq}$4)에는, 정점 고장이 있고 소스나 싱크 중에 고장 정점과 같은 색을 가진 정점이 오직 하나 존재하거나 혹은 정점 고장이 없고 에지 고장이 하나 존재하면서 둘은 흰색 정점이고 둘은 검정색 정점이면 항상 두 소스-싱크 쌍을 잇는 쌍형 다대다 2-DPC가 존재 힘을 보인다.

• 대한수학회보
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• 제53권3호
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• pp.885-902
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• 2016

In this paper we begin the study of $L_k$-2-type hypersurfaces of a hypersphere ${\mathbb{S}}^{n+1}{\subset}{\mathbb{R}}^{n+2}$ for $k{\geq}1$ Let ${\psi}:M^3{\rightarrow}{\mathbb{S}}^4$ be an orientable $H_k$-hypersurface, which is not an open portion of a hypersphere. Then $M^3$ is of $L_k$-2-type if and only if $M^3$ is a Clifford tori ${\mathbb{S}}^1(r_1){\times}{\mathbb{S}}^2(r_2)$, $r^2_1+r^2_2=1$, for appropriate radii, or a tube $T^r(V^2)$ of appropriate constant radius r around the Veronese embedding of the real projective plane ${\mathbb{R}}P^2({\sqrt{3}})$.

• 충청수학회지
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• 제11권1호
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• pp.151-161
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• 1998

The odd spherical non-commutative tori $\mathbb{S}_{\omega}$ were defined in [2]. Assume that no non-trivial matrix algebra can be factored out of $\mathbb{S}_{\omega}$, and that the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus with a matrix algebra $M_{km}(\mathbb{C})$. It is shown that the tensor product of $\mathbb{S}_{\omega}$ with the even Cuntz algebra $\mathcal{O}_{2d}$ has the trivial bundle structure if and, only if km and 2d - 1 are relatively prime, and that the tensor product of $\mathbb{S}_{\omega}$ with the generalized Cuntz algebra $\mathcal{O}_{\infty}$ has a non-trivial bundle structure when km > 1.

• East Asian mathematical journal
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• 제30권5호
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• pp.583-597
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• 2014

In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. Using this map, we study dynamical properties occurred in the invariant set, specially related to the boundary of KAM-tori, and the existence and stabilities of periodic orbits. The result shows that elliptic regions having periodic orbits and chaotic region can be divided by smooth curve, which is an unexpected result occurred in area preserving smooth dynamical systems.

• 한국정밀공학회지
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• 제13권6호
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• pp.90-101
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• 1996

Determination of assembly sequence of components is a key issue in assembly operation. Although a number of articles dealing with assembly sequence determination have appeared, an efficient and general methodology for complex products has yet to appear. The objective of this paper is to present the problems and models used to generate assembly sequence from design data. An essential idea of this research is to acquire a finite number of voxels from any complex geometric entity, such as 3D planar polygons, hollow spheres, cylinders. cones, tori, etc. In order to find a feasible assembly sequence, the following four steps are needed: (1) The components composing of an assembly product are identified and then the geometric entities of each component are extracted. (2) The geometric entities extracted in the first step are translated into a number of voxels. (3) All the mating or coupling relations between components are found by considering relations between voxels. (4) The components to be disassembled are determined using CCGs (Component Coupling Graph).

• 대한수학회보
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• 제30권1호
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• pp.79-82
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• 1993

We let F be a p-adic field with ring of integers O. Suppose .THETA.$_{i}$ .mem. $F^{x}$ /( $F^{x}$ )$^{2}$ for i=1,2 and write $E^{{\theta}_{i}}$:= F(.root..THETA.$_{i}$ ). Then there appear some specific sets such as ( $E^{{\theta}_{i}}$)$^{x}$ / $F^{x}$ in [1] which we need to measure. In addition to that, nanother possible condition attached to the generalized results in [2] had better be presented even though they may not be quite so important. This paper is concerned with these matters. Most notations and conventions are standard and have been used also in [1] and [2].