• 대한전기학회논문지:전력기술부문A
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• 제48권4호
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• pp.474-477
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• 1999

In this paper, a new method of measuring of distance between digital images, the 2D Integra-Normalizer, is proposed and compared with the grey block distance (GBD) to show its superiority of images. The 2D Integra-Normalizer removes a restriction that the image to be compared is {{{{ { 2}^{n } }}}} dimension where n is a positive integer, which means that any dimensional image can be applied to the 2D Integra-Normalizer for measuring distance of images. In addition, the 2D Integra-Normalizer measures the distance of images more in detail than the GBD with a better interpretation that is more close to human's intuitive understanding.

• 대한전기학회논문지:시스템및제어부문D
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• 제50권7호
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• pp.350-353
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• 2001

In general, the Least Square Error method is used for signal classification to measure distance in the $l^2$ metric or the $L^2$ metric space. A defect of the Least Square Error method is that it does not classify properly some waveforms, which is due to the property of the Least Square Error method: the global analysis. This paper proposes a new linear operator, the Integra-Normalizer, that removes the problem. The Integra-Normalizer possesses excellent property that measures the degree of relative similarity between signals by expanding the functional space with removing the restriction on the functional space inherited by the Least Square Error method. The Integra-Normalizer shows superiority to the Least Square Error method in measuring the relative similarity among one dimensional waveforms.

• 대한전기학회논문지:시스템및제어부문D
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• 제49권8호
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• pp.491-494
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• 2000

A scheme is proposed for measuring similarities between the binary pulse signals in the pulse-code modulation using the Integra-Normalizer. The Integra-Normalizer provides a better interpretation of the relationship between the pulse signals by removing redundant codes, which maps all possible observed signals to one of the codes to be received with relative similarities between each pair of compared signals. The proposed method provides better error tolerance than L2 metric, such as Hamming distance, since the distances between pulse signals are measured not useful for the time-delay detection in the pulse-code modulation.

• 대한수학회보
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• 제55권6호
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• pp.1835-1843
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• 2018

In this paper, finite p-groups G satisfying $N_G(H){\leq}H^G$ for every non-normal subgroup H of G are completely classified. This solves a problem proposed by Y. Berkovich.

• 한국지능시스템학회논문지
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• 제22권5호
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• pp.646-655
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• 2012

First, we prove a number of results about interval-valued fuzzy groups involving the notions of interval-valued fuzzy cosets and interval-valued fuzzy normal subgroups which are analogs of important results from group theory. Also, we introduce analogs of some group-theoretic concepts such as characteristic subgroup, normalizer and abelian groups. Secondly, we prove that if A is an interval-valued fuzzy subgroup of a group G such that the index of A is the smallest prime dividing the order of G, then A is an interval-valued fuzzy normal subgroup. Finally, we show that there is a one-to-one correspondence the interval-valued fuzzy cosets of an interval-valued fuzzy subgroup A of a group G and the cosets of a certain subgroup H of G.

• 호남수학학술지
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• 제27권3호
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• pp.369-388
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• 2005

First, we prove a number of results about intuitionistic fuzzy groups involving the notions of intuitionistic fuzzy cosets and intuitionistic fuzzy normal subgroups which are analogs of important results from group theory. Also, we introduce analogs of some group-theoretic concepts such as characteristic subgroup, normalizer and Abelian groups. Secondly, we prove that if A is an intuitionistic fuzzy subgroup of a group G such that the index of A is the smallest prime dividing the order of G, then A is an intuitionistic fuzzy normal subgroup. Finally, we show that there is a one-to-one correspondence the intuitionistic fuzzy cosets of an intuitionistic fuzzy subgroup A of a group G and the cosets of a certain subgroup H of G.

• 대한수학회보
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• 제42권3호
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• pp.639-652
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• 2005

We find the class number of orders in a quaternion algebra over a dyadic local field.

• 호남수학학술지
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• 제26권4호
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• pp.365-378
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• 2004

The orders in quaternion algebras play central role in the theory of Hecke operators. In this paper, we study the order of two sided ideal group in orders of a quaternion algebra.

• 융합보안논문지
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• 제14권5호
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• pp.3-8
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• 2014

본 논문에서는 널리 사용되는 침입 탐지 시스템인 Snort와 Suricata에 대해서 탐지 기능 측면과 성능 측면을 비교해 보고자 하였다. 구체적으로 Snort와 비교해보았을 때 Suricata에는 추가된 탐지 기능과 새로 도입된 멀티 스레딩이 패킷 처리 속도에 가져다 준 변화에 대해 분석해보고자 하였다. 그 결과, Suricata에는 기존의 Snort에서는 존재하지 않았던 Protocol Identification과 HTTP Normalizer & Parser, 그리고 File Identification 기능이 추가되었다는 점을 발견할 수 있었다. 또한, 양적 처리 성능 측면에서도 Suricata의 경우 작동하는 CPU Core의 개수가 늘어날수록 Snort와의 처리성능(PPS, Packets Per Second)의 차이가 벌어지는 것으로 나타났다. 따라서 이러한 점을 볼 때, Suricata는 양적/질적측면에서 모두 Snort보다 개선된 것으로 나타났기 때문에 Snort의 대안으로 사용되기에 적절하다는 결론을 내릴 수 있었다.

• 대한수학회지
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• 제32권2호
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• pp.183-193
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• 1995

Let N be a $II_1$ factor and G be a finite group acting outerly on N. Then the crossed product algebra $M = N \rtimes G$ is also a $II_1$ factor and $N' \cap M = CI$, i.e. N is irreducible in M. Moreover, N is regular in M, in other words, M is generated by the normalizer $N_M (N)$.