• 한국수학사학회지
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• 제31권2호
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• pp.73-91
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• 2018

This study begins with the awareness of problem that the education of mathematics teachers has failed to link the limit and the infinite set conceptually. Thus, this study analyzes the historical and reciprocal development of the limit and the infinite set, and discusses how to improve the education of these concepts and their relation based on the outcome of this analysis. The results of the study confirm that the infinite set is the historical tool of linking the limit and the real numbers. Also, the result shows that the premise of 'the component of the straight line is a point.' had the fundamental role in the construction of the real numbers as an arithmetical continuum and that the moral certainty of this premise would be obtained through a thought experiment using an infinite set. Based on these findings, several proposals have been made regarding the teacher education of awakening someone to the fact that 'the theoretical foundation of the limit is the real numbers, and it is required to introduce an infinite set for dealing with the real numbers.' in this study. In particular, by presenting one method of constructing the real numbers as an arithmetical continuum based on a thought experiment about the component of the straight line, this study opens up the possibility of an education that could get the limit values psychologically connected to the infinite set in overcoming the epistemological obstacle related to the continuum concept.

• 한국음향학회지
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• 제21권4호
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• pp.401-406
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• 2002

한국어 숫자는 모두 단음절로 이루어져 있으며, 연속적으로 발음될 때 인접 숫자들의 상호조음현상에 의해 각 숫자의 고유 발음이 변화하고, 또한 그 숫자들의 경계도 모호해지는 문제점이 있다. 이러한 문제점들과 더불어 배경잡음이나 채널에 의한 왜곡에 따른 문제점들로 인해 한국어 연결숫자의 인식 성능은 만족스럽지 못한 것이 현실이다. 본 논문에서는 연결숫자의 인식성능 향상을 위해서 한국어 숫자들의 음운변화를 고려하여 유사음소 (phonelike units: PLUs)군을 정의하고, 사용자의 여러 가지 발성형태에 따른 다양한 음운 현상의 변화를 흡수할 수 있도록 인식 시스템을 구성하는 방식을 검토하였다. 전화망 4연숫자를 이용한 화자독립 인식 실험을 수행한 결과 제안된 방법의 숫자열 인식률은 상태당 믹스쳐 (mixture) 개수가 1인 경우 83.2%로, 기준 시스템 (baseline)에 대한 오류감소률이 7.2%였고 가장 높은 성능을 나타낸 믹스쳐 개수가 11인 경우 숫자열 인식률은 91.8% 오류감소율은 4.7%였다.

• 대한수학회보
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• 제38권4호
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• pp.635-641
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• 2001

A limit point p of a Mobius group acting on$ B^m$ is called a concentration point if for every sufficiently small connected open neighborhood of p, the set of translates contains a local basis for the topology of p. For the case of two generator Schottky groups acting on $B^2$, we give characterizations for several different kinds of limit points.

• 호남수학학술지
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• 제27권4호
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• pp.595-602
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• 2005

Comtrans algebras are modules equipped with two trilinear operations: a left alternative commutator and a translator satisfying the Jacobi identity, the commutator and translator being connected by the so-called comtrans identity. These identities have analogues for trilinear forms. On a given vector space, the set of all comtrans algebra structures itself forms a vector space. In this paper, the dimension of the space of comtrans algebra structures on a finite-dimensional vector space is determined.

• 충청수학회지
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• 제16권1호
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• pp.49-60
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• 2003

In this note, we introduce the concept of the extremal length of a curve family in the complex plane and apply the extremal length to the boundary behavior of analytic functions. We consider some geometric applications of extremal length and establish applications connected with the logarithmic capacity.

• 충청수학회지
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• 제19권4호
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• pp.349-356
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• 2006

The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation ${\biguplus}$, called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between ($S_d,\;{\biguplus}$) to (N, +), where $S_d$ is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.

• 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.

• International Journal of Contents
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• 제1권1호
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• pp.16-20
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• 2005

This paper proposes a frame work for embedded system management. The management system can automatically monitor and maintain the Internet connected embedded-systems such as sensor devices, set-top box, web-pad, information appliances, PDA, etc. Users can easily diagnose system state, resolve system problems, maintain and update applications, and back up user information using the management system. We implement prototype for the management system on embedded Linux system and High -available Linux system.

• 대한수학회보
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• 제33권2호
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• pp.205-211
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• 1996

Throughout this paper, we will work in the category of compact connected manifolds and continuous maps. If $X_1, X_2$ are manifolds, $f, g: X_1 \to X_2$ are maps, then a point $x \in X_1$ is a coincidence of f and g iff f(x) = g(x) ; the set of all such points is denoted by Coin(f,g).

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2001년도 하계종합학술대회 논문집(2)
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• pp.113-116
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• 2001

In this paper we present a new hierarchical layout object extraction algorithm, which is based on rectangles rather than edges. The original layout data is modeled as instances connected by wires. Each polygon shape is divided into a set of rectangles and the instances and wires are extracted and recognized from those rectangles together with their connection and size information. We have applied the algorithm to actual layouts. Experiments on several standard cell library demonstrate the effectiveness of the algorithm.