• 대한수학회논문집
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• 제23권2호
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• pp.229-239
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• 2008

In n-dimensional unified field theory(n-UFT), the reciprocal representations between the g-unified field tensor $g{\lambda}{\nu}$ and $^*g$-unified field tensor $^*g^{{\lambda}{\nu}}$ play essential role in the study of n-UFT. The purpose of the present paper is to obtain some reciprocal relations between g-unified field tensor and $^*g$-unified field tensor.

• 논리연구
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• 제17권2호
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• pp.287-322
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• 2014

분석의 역설을 처음으로 명확하게 자각하고, 이를 회피할 방안을 제시한 사람은 무어(G. E. Moore)이다. 여기서는 이 역설의 해결책을 무어식의반-언어적 노선과 이에서 벗어나 있는 노선으로 나누어 제시한다. 후자에는 개념의 특징 및 종류, 명제의 구조, 비동등성 관계에 주목해서 역설을 회피하려는 전략이 있다. 본 논문의 일차적인 목적은 주요 역설해결책을 기술하고 그 분류를 제시하는 것이지만, 이와 더불어 또한 각 해결 전략의 한계를 논하도록 하겠다. 그런데 이런 논의를 효율적으로 전개하려면, 먼저 무어의 분석이론을 재구성하는 일이 필요하다. 무어의 분석이론은, 단지 역사적인 중요성뿐 아니라, 고전적 분석의 전형을 이룬다는 점에서도 관심의 대상이 되기에 충분하다. 또한 분석의 역설이 고전적 분석과 같이 특정 유형의 분석에만 해당한다는 주장에 반대하여 넓은 범위의 분석에서 발생한다고 주장하겠다. 그러나 더불어 이런 상황이 분석의 무용성을 보여주는 것은 아니라고 주장하겠다.

• 대한수학회지
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• 제42권4호
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• pp.709-721
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• 2005

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

• 대한수학회논문집
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• 제10권3호
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• pp.699-705
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• 1995

We first generalize the Volodin space which Volodin constructed in order to define a new algebraic K-theory. We investigate the topological (homotopy) properties of the general Volodin space. We also provide a theorem which seems to be useful in pure homotopy theory. We prove that $V(*_\alpha G_\alpha, {G_\alpha})$ is simply connected.

• 대한수학회지
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• 제11권1호
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• pp.29-31
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• 1974

In the first paper of this series, [2], we investigated how the conformal change enforces the connections and gave the complete relations between connections in Einstein's $^*g^{{\lambda}{\nu}}$-unified field theory. In the current paper we wish to investigate how the vector def $$S_{{\lambda}{{\mu}}{{^\mu}}{=^{def}}S_{\lambda}$$ is transformed by the conformal change. This topics will be studied for all classes and all possible indices of inertia.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1994년도 하계학술대회 논문집 A
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• pp.46-48
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• 1994

In this paper, for optimum design and good efficiency, the characteristics of a induction motor is analyzed by using electromagnetic field theory, Maxwell'equation with consideration of slot-teeth shape, materials, etc.

• 대한수학회논문집
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• 제19권4호
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• pp.745-757
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• 2004

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Let f : G $\longrightarrow$ G be an endomorphism between the fundamental group of the mapping torus. Extending Jiang and Ferrario's works on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets of f relative to Reidemeister sets on suspension groups. In particular, if f is an automorphism, an similar formula for Reidemeister orbit sets of f relative to Reidemeister sets on given groups is also proved.

• Journal of applied mathematics & informatics
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• 제42권3호
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• pp.567-582
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• 2024

A total coloring of a graph G is an assignment of colors to the elements of a graphs G such that no adjacent vertices and edges receive the same color. The total chromatic number of a graph G , denoted by χ''(G), is the minimum number of colors that suffice in a total coloring. In this paper, we proved the Behzad and Vizing conjecture for certain convex polytope graphs D^p_n, Q^p_n, R^p_n, E_n, S_n, G_n, T_n, U_n, C_n,respectively. This significant result in a graph G contributes to the advancement of graph theory and combinatorics by further confirming the conjecture's applicability to specific classes of graphs. The presented proof of the Behzad and Vizing conjecture for certain convex polytope graphs not only provides theoretical insights into the structural properties of graphs but also has practical implications. Overall, this paper contributes to the advancement of graph theory and combinatorics by confirming the validity of the Behzad and Vizing conjecture in a graph G and establishing its relevance to applied problems in sciences and engineering.

• 대한수학회논문집
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• 제12권3호
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• pp.717-723
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• 1997

The compact transformation group has been developed with lots of properties. Many properties which are satisfied on G-space for compact group G do not hold for noncompact case. To recover some theory on spaces with noncompact group action we give some restriction on G-spaces. Hence we introduced Cartan G-spaces and proper G-spaces for our goal and we prove some properties on these G-spaces with noncompact G.

• 대한수학회논문집
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• 제10권4호
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• pp.949-961
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• 1995

Let f be a smooth G map from a nonsingular real algebraic G variety to an equivariant Grassmann variety. We use some G vector bundle theory to find a necessary and sufficient condition to approximate f by an entire rational G map. As an application we algebraically approximate a smooth G map between G spheres when G is an abelian group.