• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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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].

• Honam Mathematical Journal
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• v.43 no.4
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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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• v.5 no.3
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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.

• Journal for History of Mathematics
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• v.20 no.3
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• pp.91-104
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• 2007

In this paper we study the method to estimate weights of the elementary mathematics achievement factors to get reference index which improves elementary mathematics teaching. For it, we discuss not only a synopsis of AHP but also write out pairwise comparison matrix through statistical survey and estimate weights by eigenvector method.

• Honam Mathematical Journal
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• v.32 no.3
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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.

• Korean Journal of Community Nutrition
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• v.14 no.1
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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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• v.5 no.4
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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.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.4
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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.

• Journal of Korea Society of Industrial Information Systems
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• v.11 no.1
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• pp.29-37
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• 2006

Due to the spread of mobile communication with the development of computer network, nowadays various types of multimedia data play an important role in many areas such as entertainments, culture contents, e-commerce or medical science. But for the real application of these data, the security in the course of saving or transferring them through the public network should be assured. In this sense, many encryption algorithm have been developed and utilized. Nonetheless, most of them have focused on the text data. So they may not be suitable to the multimedia application because of their large size and real time constraint. In this paper, a chaotic map has been employed to create a symmetric stream type of encryption scheme which may be applied to the digital images with a large amounts of data. Then an efficient algebraic encryption algorithm based on the elementary operations of the Boolean matrix and image data characteristics.

• Journal of Korean Elementary Science Education
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• v.30 no.3
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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.