• 대한수학회보
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• 제53권1호
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• pp.195-204
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• 2016

We prove, in this note, that a Zabavsky ring R is an elementary divisor ring if and only if R is a $B{\acute{e}}zout$ ring. Many known results are thereby generalized to much wider class of rings, e.g. [4, Theorem 14], [7, Theorem 4], [9, Theorem 1.2.14], [11, Theorem 4] and [12, Theorem 7].

• 호남수학학술지
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• 제43권4호
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• pp.691-700
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• 2021

In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

• Journal of applied mathematics & informatics
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• 제5권3호
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• pp.717-734
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• 1998

In the present paper is presented a new matrix pencil-based numerical approach achieving the computation of the elemen-tary divisors of a given matrix $A \in C^{n\timesn}$ This computation is at-tained without performing similarity transformations and the whole procedure is based on the construction of the Piecewise Arithmetic Progression Sequence(PAPS) of the associated pencil $\lambda I_n$ -A of matrix A for all the appropriate values of $\lambda$ belonging to the set of eigenvalues of A. This technique produces a stable and accurate numerical algorithm working satisfactorily for matrices with a well defined eigenstructure. The whole technique can be applied for the computation of the first second and Jordan canonical form of a given matrix $A \in C^{n\timesn}$. The results are accurate for matrices possessing a well defined canonical form. In case of defective matrices indications of the most appropriately computed canonical form. In case of defective matrices indication of the most appropriately computed canonical form are given.

• 한국수학사학회지
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• 제20권3호
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• pp.91-104
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• 2007

본 연구에서는 대학수학 교육을 향상시키기 위한 참조 지표를 얻기 위하여 AHP를 이용하여 대학수학 성취도 요인의 상대적 중요도를 추정하는 방법을 연구하였다. 이를 위하여 AHP의 개요 및 역사를 고찰하고 설문조사에 의해 얻은 자료를 통해 쌍대비교행렬을 작성하고 고유벡터방법으로 중요도를 추정하였다.

• 호남수학학술지
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• 제32권3호
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• pp.493-514
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• 2010

The resultant and discriminant of composite polynomials were studied by McKay and Wang using some algebraic properties. In this paper we study the resultant and discriminant of iterate polynomials. We shall use elementary computations of matrices and block matrix determinants; this could provide not only the values but also the visual structure of resultant and discriminant from elementary matrix calculation.

• 대한지역사회영양학회지
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• 제14권1호
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• pp.43-54
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• 2009

The purpose of the study was to investigate the status of the nutritional education program on educational perception, facilities, contents and systems, which were focused on the school obesity education in the elementary school. A five point Likert scale was used to evaluate the importance and performance of each item in four sections of the survey and Importance-Performance Analysis (IPA; gap between importance and performance) matrix analysis was applied to determine improvement priority. The findings from IPA matrix analysis are in the following. The items of the sections to be improved intensively are recognition of parents and in-charge teacher, availability of the education place, preparation of consulting room, preparation of various teaching media, interest of an education program, meal adjustment of overweight children, combination with education and exercise, education for psychological factors, development of scientific and systematic education program and reduction of meal service duty for education. Accordingly, the IPA matrix analysis suggested that an intensive improvement area should be excessively concentrated on for better performance. The regional gap between importance and performance showed significant difference for textbook and diet of overweight children in Kyunggi-Do. There were significant differences for the government perception, dietary habits and food-life education, fast-food education, education for breakfast importance, and education of school meal indication system and method to read food nutrition indication in Chollabuk-Do. As for the age gap between importance and performance, the twenties showed significantly bigger gaps in perception of school dietitians and linking between school meals and diet education. Therefore, more proactive efforts for the education for obesity prevention are necessary to prevent childhood obesity in elementary school and to help children to possess better health throughout their entire lives.

• Journal of Communications and Networks
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• 제5권4호
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• pp.328-343
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• 2003

Orthogonal pulse-shape modulation using Hermite pulses for ultra-wideband communications is reviewed. Closedform expressions of cross-correlations among Hermite pulses and their corresponding transmit and receive waveforms are provided. These show that the pulses lose orthogonality at the receiver in the presence of differentiating antennas. Using these expressions, an algebraic model is established based on the projections of distorted receive waveforms onto the orthonormal basis given by the set of normalized orthogonal Hermite pulses. Using this new matrix model, a number of pulse-shape modulation schemes are analyzed and a novel orthogonal design is proposed. In the proposed orthogonal design, transmit waveforms are constructed as combinations of elementary Hermites with weighting coefficients derived by employing the Gram-Schmidt (QR) factorization of the differentiating distortion model’s matrix. The design ensures orthogonality of the vectors at the output of the receiver bank of correlators, without requiring compensation for the distortion introduced by the antennas. In addition, a new set of elementary Hermite Pulses is proposed which further enhances the performance of the new design while enabling a simplified hardware implementation.

• 충청수학회지
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• 제23권4호
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• pp.663-677
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• 2010

We investigate efficient method for the computation of resultant and discriminant of polynomials. The aim of this paper is to provide not only those values but also visual structure from elementary matrix calculation.

• 한국산업정보학회논문지
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• 제11권1호
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• pp.29-37
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• 2006

오늘날 컴퓨터 네트워크의 발전과 휴대통신의 광범위한 보급으로 연예 오락, 영상 문화콘텐츠, 전자상거래 또는 의료분야에 이르기 까지 멀티미디어 자료의 응용은 매우 중요한 위치를 차지하고 있다. 그러나 실제 이들 자료들이 발달된 통신망을 통하여 효율적으로 전파, 활용되기 위해서는 무엇보다도 이들을 저장하거나 전송하는 과정에서 충분한 안정성이 전제되어야 할 것이다. 이를 위하여 오늘날 많은 암호화 방법들이 개발되어 응용되고 있다. 그러나 대부분 원문에 대한 자료를 텍스트에 기반으로 하게 됨으로, 영상과 같이 자료의 양이 방대하고 실시간 처리하는데 제약이 존재하는 멀티미디어 자료에 직접 적용하기는 문제점이 많다. 이에 본 논문에서는 먼저 복잡성과 초기 조건에 대한 민감성 등 카오스적 특성을 지닌 Logistic 함수를 이용한 암호화 기법을 도입하고 다음으로 비트평면상에서 Boolean 행렬의 기본 연산을 이용한 대수적 암호화 알고리즘을 수행함으로써 효과적인 영상 암호화 방법을 제시하였다.

• 한국초등과학교육학회지:초등과학교육
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• 제30권3호
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• pp.379-393
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• 2011

The purpose of this study was to analyze the complexity of scientific reasoning during open inquiry activities of pre-service elementary school teachers. In this study, 6 pre-service elementary teachers who participated in open-inquiry activities were selected. The data of scientific reasoning during their inquiry process was collected from the video recording of reporting about inquiry process and results, their reports and researcher's notetaking. CSRI Matrix (Dolan & Grady, 2010) was used to analyze the complexity of participants' scientific reasoning. The result showed that the degree of the complexity of their scientific reasoning varied in participants. Particularly the low degree of the complexity of scientific reasoning presented in posing preliminary hypotheses, providing suggestions for future research, communicating and defending finding. Also, The more pre-service teachers' epistemology of inquiry are similar to that of scientists, the more complex scientific reasoning represents. This results suggest that teachers should impress on students the importance of doing the precedent study and providing suggestions for future research, and provide a place for communicating and defending findings.