• 대한수학회보
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• 제57권4호
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• pp.909-919
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• 2020

The 4-dimensional solvable Lie group Sol₀⁴ does not admit a lattice. The purpose of this paper is two-fold. We study poly-crystallographic groups of Sol₀⁴, and then we study Nielsen fixed point theory on the spaces modeled on Sol₀⁴.

• Journal of the Korean Statistical Society
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• 제25권4호
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• pp.489-497
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• 1996

Lower bounds for the full level probabilities are derived under order restrictions in weights. Discussions are made on typical isotonic cones such as linear order, simple tree order, and unimodal order cones. We also discuss applications of these results for constructing conditional likelihood ratio tests for ordered hypotheses in a contingency table. A real data set on torus mandibularis will be analyzed for illustrating the testing procedure.

• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.159-172
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• 2004

A map is singular if each edge is on the same face on a surface (i.e., those have only one face on a surface). Because any map with loop is not colorable, all maps here are assumed to be loopless. In this paper po-vides the explicit expression of chromatic sum functions for rooted singular maps on the projective plane, the torus and the Klein bottle. From the explicit expression of chromatic sum functions of such maps, the explicit expression of enumerating functions of such maps are also derived.

• Korean Journal of Mathematics
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• 제5권2호
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• pp.113-118
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• 1997

According to the Bernoulli-Euler theory of elastic rods the bending energy of the wire is proportional to the total squared curvature of ${\gamma}$, which we will denote by $F({\gamma})=\int_{\gamma}k^2ds$. If the result of J.Langer and D.Singer [3] extend to knotted elastic curve, then we obtain the following. Let {${\gamma},M$} be a closed knotted elastic curve. If the curvature of ${\gamma}$ is nonzero for everywhere, then ${\gamma}$ lies on torus.

• 대한수학회보
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• 제51권5호
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• pp.1259-1267
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• 2014

In this paper we show that any chain transitive set of a diffeomorphism on a compact $C^{\infty}$-manifold which is $C^1$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.

• 대한수학회지
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• 제40권3호
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• pp.563-575
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• 2003

We show that if a connected Stein manifold M of dimension n has the holomorphic automorphism group Aut(M) isomorphic to $Aut(C^k {\times}(C^*)^{n - k})$ as topological groups, then M itself is biholomorphically equivalent to C^k{\times}(C^*)^{n - k}$. Besides, a new approach to the study of U(n)-actions on complex manifolds of dimension n is given.

• 충청수학회지
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• 제21권4호
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• pp.533-541
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• 2008

Let X be a finite polyhedron that is of the homotopy type of the wedge of the torus and the surface with boundary. Let $f:X{\rightarrow}X$ be a self-map of X. In this paper, we prove that if the induced endomorphism of ${\pi}_1(X)$ is K-reduced, then there is an algorithm for computing the Nielsen number N(f).

• 호남수학학술지
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• 제30권3호
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• pp.443-468
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• 2008

We give a theorem of existence of six nontrivial solutions of the nonlinear Hamiltonian system $\.{z}$ = $J(H_z(t,z))$. For the proof of the theorem we use the critical point theory induced from the limit relative category of the torus with three holes and the finite dimensional reduction method.

• 한국시뮬레이션학회:학술대회논문집
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• 한국시뮬레이션학회 1996년도 춘계학술대회
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• pp.10-14
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• 1996

본 논문은 토러스 망의 패킷 전송 효율을 평가하기 위해 각 노드가 에지당 2개의 입·출력 큐를 가지는 라우팅 알고리즘을 제시하고 시뮬레이션을 수행하여 그 결과를 분석하였다. 제시된 4가지 오름순차를 가지는 라우팅 알고리즘에 대해 시뮬레이션을 하기 위해 도착분포와 서비스분포는 지수분포를 갖도록하여 교착상태가 없는 패킷 전송 효율을 비교 평가하였다. 실험 결과로부터 무교착 상태로 패킷을 전달하기 위한 노드 큐의 크기를 알 수 있었고, 또한 입력 패킷 메시지의 분포에 따라 패킷의 전송 효율을 높이기 위한 버퍼의 크기를 예측할 수 있었다.

• Kyungpook Mathematical Journal
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• 제59권3호
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• pp.403-414
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• 2019

Theta functions are the sections of line bundles on a complex torus. Noncommutative versions of theta functions have appeared as theta vectors and quantum theta operators. In this paper we describe a super version of theta vectors and quantum theta operators. This is the natural unification of Manin's result on bosonic operators, and the author's previous result on fermionic operators.