• The Pure and Applied Mathematics
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• v.11 no.1
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• pp.1-14
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• 2004

Due to the development of computer network and mobile communications, the security in image data and other related source are very important as in saving or transferring the commercial documents, medical data, and every private picture. Nonetheless, the conventional encryption algorithms are usually focusing on the word message. These methods are too complicated or complex in the respect of image data because they have much more amounts of information to represent. In this sense, we proposed an efficient secret symmetric stream type encryption algorithm which is based on Boolean matrix operation and the characteristic of image data.

• Structural Engineering and Mechanics
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• v.14 no.4
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• pp.473-489
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• 2002

A static linear programming formulation for minimum weight design of frames that is based on a matrix displacement method is presented in this paper. According to elementary theory of plasticity, minimum weight design of frames can be carried out by using only the equilibrium equations, because the system is statically determinate when at an incipient collapse state. In the present formulation, a statically determinate released frame is defined by introducing hinges into the real frame and the bending moments in yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, by utilizing the matrix displacement method. Conventional Simplex algorithm with some modifications is utilized for the solution of linear programming problem. As the formulation is based on matrix displacement method, it may be easily adopted to the weight optimization of frames with displacement and deformation limitations. Four illustrative examples are also given for comparing the results to those obtained in previous studies.

• Journal of Gifted/Talented Education
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• v.25 no.2
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• pp.321-337
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• 2015

The purpose of the present study is to examine elementary gifted students' perceptions on bias against creativity utilizing concept mapping approach. Twelve elementary gifted students participated in the group brainstorming and produced 55 final statements. Based on these statements, the multi-dimensional scale and hierarchial cluster analysis using dissimilarity matrix were performed. Average stress value was .30 which is appropriate for a two-dimensional concept mapping study. In addition, a questionnaire survey using likert 6 points scale was carried out targeting 132 elementary gifted students to analyze the degree of sympathy on their anti-creativity bias perception. The findings are as follow: First, four categories were concluded dividing gifted students' perceptions on bias against creativity from the hierarchial cluster analysis with X-Y coordinate matrix, these were 'Contradictory attitudes to creativity', 'Low evaluation for creativity', 'Forced to predetermined rules and ideas', and 'Aversion to new things'. Second, elementary gifted students were sympathetic to the order 'Forced to predetermined rules and ideas'(M=4.16), 'Aversion to new things'(M=3.68), 'Contradictory attitudes to creativity'(M=3.55) and 'Low evaluation for creativity'(M=3.30). This study aims to examine, analyze and categorize various relevant factors related to elementary gifted students' perceptions on bias against creativity. Implications of the study related to the present and future creative education were discussed in depth.

• Korean Journal of Computational Design and Engineering
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• v.15 no.6
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• pp.411-417
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• 2010

In this paper, the boom of a floating crane is modeled as a 3-dimensional elastic beam in order to analyze the dynamic response of the crane and its cargo. The boom is divided into more than two elements based on finite element formulation, and deformation of each element is expressed in terms of shape matrix and nodal coordinates. The equations of motion for the elastic boom consist of a mass matrix, a stiffness matrix, and a quadratic velocity vector that contains the gyroscopic and Coriolis forces. The size and complicity of the matrices increase in proportion with the number of elements. Therefore, it is not possible to derive the equations of motion explicitly for different number of elements. To overcome this difficulty, matrices for one 3-dimensional element are expressed with elementary sub-matrices. In particular, the quadratic velocity vector is derived as a product of a shape matrix and a 3-dimensional rotation matrix. By using the derived matrices, the equations of motion for the multi-element boom are automatically constructed. To verify the implementation of the elastic boom based on finite element formulation, we simulated a simple vibration of the elastic boom and compared the average deformation with the analytic solution. Finally, heave motion of the floating crane and surge motion of the cargo are presented as application examples of the elastic boom.

• Bulletin of the Korean Mathematical Society
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• v.48 no.2
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• pp.303-314
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• 2011

For Ax = b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P = I + S (${\alpha}$) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P = I + S (${\alpha}$) + $\bar{K}({\beta})$ as a preconditioner. We present some comparison theorems, which show the rate of convergence of the new method is faster than the basic method and the method in [7] theoretically. Numerical examples show the effectiveness of our algorithm.

• Structural Engineering and Mechanics
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• v.59 no.6
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• pp.973-992
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• 2016

A direct and relatively simple method for controlling nodal displacements and/or internal bar forces has been developed for prestressable structural assemblies including complex elements ("macro-elements", e.g., the pantographic element), involving Matrix Condensation, in which structural matrices being built up from matrices of elementary elements. The method is aimed at static shape control of geometrically sensitive structures. The paper discusses identification of the most effective bars for actuation, without incurring violation in bar forces, and also with objective of minimal number of actuators or minimum actuation. The advantages of the method is that the changes for both force and displacement regimes are within a single formulation. The method can also be used for adjustment of bar forces to either reduce instances of high forces or increase low forces (e.g., in a cable nearing slack).

• Journal of Korean Society of Industrial and Systems Engineering
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• v.3 no.3
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• pp.23-34
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• 1980

The method of principal component analysis is originated by K. Pearson, who considered this as geometrical method Principal component analysis is the most elementary method, and this means that the information having various type of characteristics which have been correlated among themselves, are summarized by orthogonal transformations of characteristics. I: Even though we have different result whether this method is applied to homogeneous population or not. In this research we should deal with the case of homogeneous population only. II: On the other hand, we can have different result whether we start from covariance matrix or matrix of correlation- coefficients. In this research we are studying based on covariance matrix.

• Journal of the Korea Society of Computer and Information
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• v.28 no.12
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• pp.281-288
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• 2023

This study aimed to develop an integrated arts education program for improving AI literacy among elementary school students. First, we developed two thematic programs that are research on the goals of the art, music, physical curriculum in the 2022 revised elementary school curriculum, and a matrix of goals and elements of integrated art education. The developed program was revised and supplemented through the first expert validity test, and the second revision was made based on the results of students' AI literacy pre/post-test and satisfaction survey with the program. Finally, the final program was developed through the third expert validity test. We hope that the developed program will be used as a convergence education program to cultivate AI literacy in elementary school students.

• 한국기계연구소 소보
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• s.18
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• pp.131-136
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• 1988

A small-deflected beam can be easily solved by assuming a linear system. But a large-deflected beam can not be solved by superposition of the displacements, because the system is nonlinear. The solutions for the large-deflection problems can not be obtained directly from elementary beam theory for linearized systems since the basic assumptions are no longer valid. Specifically, elementary theory neglects the square of the first derivative in the beam curvature formula and provides no correction for the shortening of the moment-arm cause by transverse deflection. These two effects must be considered to analyze the large deflection. Through the correction of deflected geometry and internal axial force, the proposed new approach is developed from the linearized beam theory. The solutions from the proposed approach are compared with exact solutions.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.269-272
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• 2005

For the efficient image encryption, we proposed the encryption algorithm using the chaotic function and elementary matrix operation defined on the bit plane decomposition. Though the chaotic encryption algorithm is faster than block encryption, it uses a real number computation. In this sense, we use the row and column operations on the bit-plane decomposed images combined with logistic function for the recursive rounding number, too.