• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제10권1호
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• pp.11-19
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• 2006

3-차 마방진을 이용하여 $3^k$-차 마방진(k = 2, 3, 4, $\cdots$)을 만드는 일반적인 방법을 제시한다.

• Journal of applied mathematics & informatics
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• 제8권3호
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• pp.819-827
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• 2001

An algorithmic approach to degree reduction of B-spline curves is presented. The new algorithms are based on the blossoming spline curves are obtained by the generalized least square method. The computations are carried out by minimizing the $L_2$ distamce between the two curves.

• Journal of the Korean Statistical Society
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• 제21권1호
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• pp.59-69
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• 1992

A measure is proposed to represent the degree of residuals from the symmetry model for square contingency tables with nominal categories. The measure is derivedby modifying the sum of squared singular values for a skew symmetric matrix of the residuals from the symmetry model. The proposed measure would be useful for comparing the degree of residuals from the symmetry model in several tables.

• 대한전기학회논문지:시스템및제어부문D
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• 제52권4호
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• pp.189-197
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• 2003

The problem of designing a parallel feedforward compensator (PFC) is considered for a class of non-square linear systems such that the closed-loop system is strictly passive. If a given square system has (vector) relative degree one and is weakly minimum phase, the system can be rendered passive by a state feedback. However, when the system states are not always measurable and the given output is considered, passivation (i.e. rendering passive) of a non-minimum phase system or a system with high relative degree cannot be achieved by any other methodologies except by using a PFC. To passivate a non-square system we first determine a squaring gain matrix and design a PFC such that the composite system has relative degree one and is minimum phase. Then the system is rendered strictly passvie by a static output feedback law. Necessary and sufficient conditions for the existence of the PFC and the squaring gain matrix are given by the static output feedback formulation, which enables to utilize linear matrix inequality (LMI). As an application of the scheme, an alternative way of replacing the role of velocity measurements is provided for the PD-control law of a convey-crane system.

• 대한수학회논문집
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• 제38권3호
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• pp.937-941
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• 2023

For each positive integer n, a square congruence graph S(n) is the graph with vertex set H = {1, 2, 3,...., n} and two vertices a, b are adjacent if they are distinct and a² ≡ b² (mod n). In this paper we investigate some structural properties of square congruence graph and we obtain the relationship between clique number, chromatic number and maximum degree of square congruence graph. Also we study square congruence graph with p vertices or 2p vertices for any prime number p.

• 한국정보전자통신기술학회논문지
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• 제10권5호
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• pp.372-379
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• 2017

소프트웨어 개발과정동안 소프트웨어 신뢰성 요인은 매우 기본적인 사항이다. 소프트웨어 고장파악을 위한 무한고장 비동질적인 포아송 과정을 이용할 때 고장발생률 혹은 위험함수가 일정하거나 증가 또는 감소하는 속성을 가진다. 본 논문에서는 소프트웨어 신뢰 성능에 관한 효율성을 비교하는 자유도에 의존하는 카이제곱 분포를 적용한 신뢰성 모형을 제안하였다. 효율적인 모형을 평가하기 위하여 평균제곱오차(MSE)와 결정계수($R^2$)를 이용하고 최우추정법과 수치 해석적 방법을 사용하여 모수추정 알고리즘이 수행되었다. 제안하는 카이제곱분포의 자유도를 이용한 신뢰성 모형을 위해 실제 고장 간격 데이터를 사용한 고장 성능 분석이 적용되었다. 고장데이터 분석은 카이제곱분포의 자유도에 근거한 강도함수를 기준으로 비교되었다. 데이터 신뢰성을 확인하기 위하여 라플라스 추세검정이 적용되었다. 본 연구에 제안된 카이제곱분포의 자유도는 다양한 고장현상을 표현 할 수 있기 때문에 (결정계수가 90% 이상), 신뢰성 분야에서 활용 할 수 있는 모형으로 활용 할 수 있다. 이 연구 결과를 적용하면 소프트웨어 개발 설계자에게 다양한 자유도를 적용하여 소프트웨어 고장패턴을 예측함으로서 효율적인 모형을 개발하는데 표준 지침으로 적용 할 수 있다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 추계학술대회논문집B
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• pp.627-632
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• 2000

Developing turbulent flows in a rotating 90 degree bend with square cross-section were measured by a hot-wire anemometer. The six orientation hot-wire technique was applied to measured the distributions of 3 mean velocities and 6 Reynolds stress components. Effects of Coriolis and centrifugal forces caused by the curvature and rotation of bend on the mean motion and turbulence structures were experimentally investigated Productive addition of Coriolis and centrifugal forces to the outward radial direction in the entrance region of bend increases the secondary flow intensity according to the rotational speeds. However, after 45 degree of bend, centrifugal force due to the rotation of bend may promote the break down of counter rotating vortex pair into multi-cellular pattern, thereby decreasing the production rate of turbulence energy and Reynolds stresses.

• Journal of the Korean Statistical Society
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• 제33권1호
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• pp.129-147
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• 2004

For square contingency tables with nominal categories, this paper proposes a measure to represent the degree of departure from the quasi-symmetry (QS) model and the Bradley-Terry (BT) model. The measure proposed is expressed by using the Cressie and Read (1984)'s power-divergence or Patil and Taillie (1982)'s diversity index. The measure lies between 0 and 1, and it is useful for comparing the degree of departure from QS or BT in several tables.

• Journal of the Korean Statistical Society
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• 제27권3호
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• pp.289-303
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• 1998

For square contingency tables with ordered categories, Tomizawa (1995) considered two kinds of measures to represent the degree of departure from global symmetry, which means that the probability that an observation will fall in one of cells in the upper-right triangle of square table is equal to the probability that the observation falls in one of cells in the lower-left triangle of it. This paper proposes a generalization of those measures. The proposed measure is expressed by using Cressie and Read's (1984) power divergence or Patil and Taillie's (1982) diversity index. Special cases of the proposed measure include TomiBawa's measures. The proposed measure would be useful for comparing the degree of departure from global symmetry in several tables.

• 사상체질의학회지
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• 제26권1호
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• pp.82-97
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• 2014

Objectives The purpose of this study was to survey the Personality and Ordinary Symptoms of Soyangin and to compare the tendency of their personality and symptoms according to Soyangin's major prescription. Methods 331 Soyangin's personality and ordinary symptoms data registered to SCIB(Sasang Constitutional Information Bank) were used. All data were analyzed with Chi square test. Some data were ranked and analyzed with Kruskal-Wallis test and Mann-Whitney test(with Bonferroni correction). Chi square and Kruskal-Wallis test's significant P value was 0.05. Mann-Whitney test's significant P value was 0.005. Results & Conclusions In Chi square test, there is difference in personality and symptoms in Soyangin's major prescription as followed, the degree of masculinity and femininity, the degree of patience, the condition of stool, the degree of appetite, good or bad in digesting, amount of meal, the speed of eating, amount of drinking water, the temperature of drinking water, coldness and hotness in abdomen or not. In Kruskal-Wallis test and Mann-Whitney test, Yanggyuksanhwa-tang is more masculine than Dokhwaljihwang-tang, Hyeongbangsabaek-san, Hyeongbangjihwangtang. Dokhwaljihwang-tang is less appetite than Yanggyuksanhwa-tang and Hyeongbangsabaek-san. Yanggyuksanhwa- tang is more fast in eating than Hyeongbangjihwang-tang.