• Korean Journal of Mathematics
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• v.21 no.1
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• pp.75-80
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• 2013

Let T be a bounded linear operator on a complex Hilbert space $\mathfrak{H}$. An operator T is called class A operator if ${\mid}T^2{\mid}{\geq}{\mid}T{\mid}^2$ and is called class $A({\kappa})$ operator if $(T^*{\mid}T{\mid}^{2{\kappa}}T)^{\frac{1}{{\kappa}+1}}{\geq}{\mid}T{\mid}^2$ for a positive number ${\kappa}$. In this paper, we show that ${\sigma}$ is continuous when restricted to the set of class $A({\kappa})$ operators.

• Journal of KIISE:Software and Applications
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• v.32 no.9
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• pp.847-852
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• 2005

Over the last decade, numerous complexity measurement techniques for Object-Oriented (OO) software system have been proposed for managing the effects of OO codes. These techniques may be based on source code analysis such as WMC (Weighted Methods per Class) and LCOM (Lack of Cohesion in Methods). The techniques are limited to count the number of functions (C++). However. we suggested a new weighted method that checks the number of parameters, the return value and its data type. Then we addressed an effective complexity measurement technique based on the weight of class interfaces to provide guidelines for measuring the class complexity of OO codes in reverse engineering. The results of this research show that the proposed complexity measurement technique ECC(Enhanced Class Complexity) is consistent and accurate in C++ environment.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.171-181
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• 1995

Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

• Fashion & Textile Research Journal
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• v.11 no.5
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• pp.840-845
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• 2009

The purpose of this study is to analyze the trends of technique development of domestic textile industry and to guide the directions for researches to secure competitiveness of textile industry by analyzing domestic patent applications. This research used patent literature from Korean Patent Information database provided by Korea Intellectual Property Rights Information Service(KIPRIS), and the patent search scope, based on the application year, was from 1980 to 2007. The number of patents by natives was lower than that of foreigners in 1980's, but from the mid 90's, that number grew larger than that of foreigners. Also the number of patents by natives have shown steadily increasing tendency. However, the number of foreigner's patent in D03, D04, D05 of class was higher than the number of patents by natives. The technical fields where the patent application ratio is high varied from one country to another. In Korea, D01F of subclass had the most number of patents, and D05B, D04B had the most number of patents in Japan and Germany.

• Proceedings of the KSRS Conference
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• 2005.10a
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• pp.675-677
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• 2005

This study proposes a fuzzy classification using EM algorithm. For cluster validation, this approach iteratively estimates the class-parameters in the fuzzy training for the sample classes and continuously computes the log-likelihood ratio of two consecutive class-numbers. The maximum ratio rule is applied to determine the optimal number of classes.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 1996.04a
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• pp.76-78
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• 1996

When data is classified and each class has weight, the mean of data is a weighted average. When the class values and weights are trapezoidal fuzzy numbers, we can prove the weghted average is a fuzzy number though not trapezoidal. Its 4 corner points are obtained.

• Communications of the Korean Mathematical Society
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• v.19 no.1
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• pp.23-27
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• 2004

In this paper we explicitly compute the orders of ambiguous ideal class groups of layers of the basic ${\mathbb{Z}}_3-extension$ of certain cubic fields and give an example for Greenberg's conjecture.

• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.121-123
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• 2016

In this paper, we compute the number of distinct centralizers and commutativity degree of a class of finite groups. These computations produce a further class of examples of groups answering one question raised by Belcastro and Sherman and another one raised by Lescot.

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.747-756
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• 2007

In this paper we give an example of imaginary quadratic number field k such that every ideal of k becomes principal in some proper subfields of the Hilbert class field of k.

• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.593-602
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• 2021

We use a kind of modified Hurwitz class numbers to express the number of representing a positive integer by some ternary quadratic forms such as the sum of three squares, and the Fourier coefficients of weight 2 modular forms of prime level with trivial character.