• ETRI Journal
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• 제29권3호
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• pp.405-407
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• 2007

A globally adaptive load-balanced routing algorithm for torus interconnection networks is proposed. Unlike previously published algorithms, this algorithm employs a new scheme based on collision detection to handle deadlock, and has higher routing adaptability than previous algorithms. Simulation results show that our algorithm outperforms previous algorithms by 16% on benign traffic patterns, and by 10% to 21% on adversarial traffic patterns.

• 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.

• 한국전산유체공학회지
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• 제11권3호
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• pp.52-58
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• 2006

A numerical investigation is made of air flow in a spinner equipment used for cleanning and drying flat display panels. A unique feature of the spinner under question is the placement of a torus plate cover over the rotating plate. The turbulent flow is driven by rotation of a large disk and suction by the exhaust system connected to vacuum chamber. The flow is modelled as an axisymmetric two-dimensional flow and computation is conducted by using the FLUENT package with a version of k-$\varepsilon$ turbulence model. The required capacity of the exhaust system is assessed numerically. The usefulness of the cover in controlling air flow circulation is examined. A computational trouble shooting is attempted to resolve the problem of panel rising which occurred in real experiment.

• 대한수학회보
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• 제29권1호
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• pp.15-24
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• 1992

The purpose of this paper is to parameterize range-equivalence classes of all eigenmaps of flat 3-tori $T^{3}$= $R^{3}$.LAMBDA., .LAMBDA.= $c_{1}$ $e_{1}$ + $c_{2}$ $e_{2}$ + $c_{3}$ $e_{3}$, into the standard unit spheres. In this paper, we classify $A_{ 0 \lambda}$( $T^{3}$)(cf..cint.1) which is contained in $A_{\lambda}$( $T^{3}$), are belonging to $A_{ 0 \lambda}$( $T^{3}$). Moreover, as an application, we show that the only minimally imbedded flat torus into ( $S^{5}$ , can) which is contained in $A_{ 0 \lambda}$( $T^{3}$) is the generalized Clifford torus.rd torus.

• 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.

• 한국CDE학회논문집
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• 제5권4호
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• pp.336-346
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• 2000

This paper presents a geometric method that can detect and compute all conic sections in the intersection of two tori. Conic sections contained in a torus must be circles. Thus, when two tori intersect in a conic section, the intersection curve must be a circle as well. Circles in a torus are classified into profile circles, cross-sectional circlet, and Yvone-Villarceau circles. Based on a geometric classification of these circles, we present a procedural method that can detect and construct all intersection circles between two tori. All computations can be carried out using simple geometric operations only: e.g., circle-circle intersections, circle-line intersections, vector additions, and inner products. Consequently, this simple structure makes our algorithm robust and efficient, which is an important advantage of our geometric approach over other conventional methods of surface intersection.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2006년도 한국컴퓨터종합학술대회 논문집 Vol.33 No.1 (C)
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• pp.211-213
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• 2006

현재 개발되어 사용되고 있는 원격의료시스템은 3계층기반의 구조를 이루고 있는데 환자들이 집중적으로 몰리는 지역에서 심각한 bottleneck현상이 발생할 수 있다. 본 논문에서는 3계층기반 원격의료시스템의 성능을 분석하고 bottleneck 현상을 해결하기 위한 방안으로 hyper-torus 구조의 4계층 아키텍처를 제안하고 Architecture Description Language인 Acme를 이용하여 성능을 비교분석 한다.

• 대한수학회지
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• 제44권2호
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• pp.407-442
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• 2007

The study of Euclidean submanifolds with finite type "classical" Gauss map was initiated by B.-Y. Chen and P. Piccinni in [11]. On the other hand, it was believed that for spherical sub manifolds the concept of spherical Gauss map is more relevant than the classical one (see [20]). Thus the purpose of this article is to initiate the study of spherical submanifolds with finite type spherical Gauss map. We obtain several fundamental results in this respect. In particular, spherical submanifolds with 1-type spherical Gauss map are classified. From which we conclude that all isoparametric hypersurfaces of $S^{n+1}$ have 1-type spherical Gauss map. Among others, we also prove that Veronese surface and equilateral minimal torus are the only minimal spherical surfaces with 2-type spherical Gauss map.

• 한국멀티미디어학회논문지
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• 제13권8호
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• pp.1183-1193
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• 2010

피라미드 그래프는 병렬처리 분야에서 정방형 메쉬와 트리 구조를 기반으로 하는 상호연결망 위상으로 잘 알려져 있다. 개선된 피라미드 그래프는 이러한 피라미드 그래프보다 성능을 향상시키기 위해 메쉬를 토러스로 대체시킨 구조를 말한다. 본 논문에서는 개선된 피라미드 그래프의 각 계층을 형성하고 있는 기반 부-그래프로서의 정방형 토러스 그래프의 간선들을 두 개의 서로 다른 그룹으로 분류하는 전략을 채택한다. 토러스 그래프 내의 간선 집합은 해당 간선의 양 끝 정점들에 인접된 부모 정점들이 상위 계층에서 서로 인접하는지 아니면 공유하는 관계 인지에 따라 각각 NPC-간선과 SPC-간선이라 불리는 두 개의 서로 다른 부분집합으로 나누어 고려한다. 아울러 원래 그래프에서의 SPC-간선들을 압축된 결과 그래프에서는 압축된 슈퍼-정점 내부로 은닉시킴으로써 NPC-간선들에 대해서만 초점을 맞추도록 하기 위해 압축 그래프의 개념을 소개한다. 본 연구에서는 $2^n{\times}2^n$ 2-차원 정방형 토러스 내에서 헤밀톤 사이클 구성 시 포함할 수 있는 NPC-간선 개수의 하한 및 상한이 각각 $2^{2n-2}$와 $3{\cdot}2^{2n-2}$임을 분석한다. 이 결과를 개선된 피라미드 그래프로 확장시킴으로써 개선된 n-차원 피라미드 그래프 내에서 헤밀톤 사이클에 포함할 수 있는 NPC-간선의 최대 개수는 $4^{n-1}$-2n+1 개임을 증명한다.

• 충청수학회지
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• 제20권2호
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• pp.157-161
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• 2007

We show that there is an equivariant symplectic embedding of a two-torus with a nontrivial action into a symplectic manifold with a symplectic circle action if and only if the circle action on the manifold is non-Hamiltonian. This is a new equivalent condition for non-Hamiltonian action and gives us a new insight to solve the famous conjecture by Frankel and McDuff.