• 대한수학회논문집
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• 제28권2호
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• pp.361-369
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• 2013

We introduce a Nielsen type number of a fibre preserving map, and show that it is a lower bound for the number of $n$-orbits in the homotopy class. Under suitable conditions we show that it is equal to the Nielsen type relative essential $n$-orbit number. We also give necessary and sufficient conditions for it and the essential $n$-orbit number to coincide.

• 대한수학회논문집
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• 제15권2호
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• pp.357-370
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• 2000

In [6], Cheng-Ye You gave a condition equivalent to the Nielsen number product formula for fiber maps. And Jerzy Jezierski also gave a similar condition for coincidences of fiber maps. The main purpose of this paper is to find the condition for which holds the product formula for Nielsen root numbers N(f;a) = N(f;a) N(fb;a).

• 대한수학회보
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• 제20권1호
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• pp.55-63
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• 1983

• 대한수학회논문집
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• 제12권3호
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• pp.701-707
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• 1997

In [8], we introduce the relative root Nielsen number N(f;X, A, c) for maps of pairs of spaces $f : (X, A) \to (Y, B)$. From it, we obtain some immediate consequences of the definition and illustrate it by some examples. We consider the question whether there exists a map $g : (X, A) \to (Y, B)$ homotopic to a given map $f : (X, A) \to (Y, B)$ which has precisely N(f;X, A, c) roots, that is, the minimum theorem for N(f;X, A, c).

• 충청수학회지
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• 제28권2호
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• pp.243-249
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• 2015

Let X be a closed surface for which the Euler characteristic $_{\mathcal{X}}(X)$ is negative, and let $f:X{\rightarrow}X$ be a self-map that is not surjective. In this short paper, we prove that we can compute the Nielsen number of f, N(f), under some algebraic conditions.

• 대한수학회지
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• 제31권1호
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• pp.69-79
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• 1994

• 자연과학논문집
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• 제17권1호
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• pp.1-12
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• 2006

이 논문의 주된 결과는 Klein bottle상의 주기함수의 Per(f)를 Nielsen 수를 이용하여 구한 것이다.

• Journal of Plant Biotechnology
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• 제42권3호
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• pp.235-238
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• 2015

최대의 부정아유도수는 MS배지에 0.2 mg/L BA가 첨가된 배지에서 유도되었다. 엽병근처 자엽 절편과 자엽 끝 절편을 MS배지에 0.2 mg/L BA가 첨가된 배지에 배양하였다. 부정아 유도 빈도는 절편형태에 따라 차이를 보였다. 엽병근처 자엽 절편은 자엽 끝 절편 보다 부정아 유도율이 높았다. 호르몬 무처리 1/2MS배지에서 줄기의 신장과 뿌리가 유도되었다. 이 결과는 클론번식을 가능하게 할 효과적인 방법을 제공한다.

• Industrial Engineering and Management Systems
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• 제15권1호
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• pp.110-121
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• 2016

With the growing interest in skincare and maintenance, there are increasing numbers of studies on the classification of skin type and the factors influencing each type. This study presents a novel methodology by using data mining, for the determination of the relationships between skin type, lifestyle, and patterns of cosmetic utilization. Eight skin-specific factors, which are moisture, sebum in U-zone (both cheeks), sebum in T-zone (forehead, nose, and chin), pore, melanin, wrinkle, acne, hemoglobin, were measured in 1,246 subjects living in South Korea, in conjunction with a questionnaire survey analyzing their lifestyles and pattern of cosmetic utilization. Using various multivariate statistical methods and data mining techniques, we classified the skin types based on the skin-specific values, determined the relationship between skin type and lifestyle, and accordingly sorted the subjects into clusters. Logistic regression analysis revealed gender-related differences in the skin; therefore, separate analyses were performed for males and females. Using the Gaussian Mixture Modeling (GMM) technique, we classified the subjects based on skin type (two male and four female). Using the ANOVA and decision tree techniques, we attempted to characterize the relationship between each skin type and the lifestyles of the subjects. Menstruation, eating habits, stress, and smoking were identified as the major factors affecting the skin.