• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.591-603
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• 2005

A representation for non-commutative Banach algebras is discussed, which generalizes the Gelfand representation for commutative Banach algebras and the Gelfand-Naimark representation for $C^{\ast}$-algebras. Its basic properties are also investigated. In appendix, an example of Banach algebra that is neither semi-simple nor radical is presented.

• Journal of the Institute of Electronics and Information Engineers
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• v.52 no.5
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• pp.136-146
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• 2015

The active control of a vehicle based on vehicle recognition is one of key technologies for the intelligent vehicle, and the part-based image representation is necessary to recognize vehicles with only partial shapes of vehicles especially in urban scene where occlusions frequently occur. In this paper, we implemented a part-based image representation scheme using non-negative tensor factorization(NTF) and realized a robust vehicle recognition system using the NTF feature. The result shows that the proposed method gives more intuitive part-based representation and more robust recognition in urban scene.

• Korean Journal of Child Studies
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• v.28 no.2
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• pp.137-153
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• 2007

This research studied differences in the distribution of maternal attachment representation between divorced and non-divorced low income mothers, associations between their divorce and childhood experiences, and associations between maternal attachment representation and childhood experiences. Subjects were twenty each divorced and still-married women with low socioeconomic status. The Adult Attachment Interview was used to assess their attachment representation resulting in classification by four types; autonomous (F), dismissing (Ds), preoccupied (E), or unresolved/disorganized (Ud). The divorced women had more childhood experiences of being rejected and neglected by their mothers than the non-divorced women. This indicates that maternal childhood experiences were related to maternal attachment representation and divorce.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.20 no.3
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• pp.225-242
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• 2016

The phase-type representation is strongly connected with the positive realization in positive system. We attempt to transform phase-type representation into sparse mono-cyclic positive representation with as low order as possible. Because equivalent positive representations of a given phase-type distribution are non-unique, it is important to find a simple sparse positive representation with lower order that leads to more effective use in applications. A Hypo-Feedback-Coxian Block (HFCB) representation is a good candidate for a simple sparse representation. Our objective is to find an HFCB representation with possibly lower order, including all the eigenvalues of the original generator. We introduce an efficient nonlinear optimization method for computing an HFCB representation from a given phase-type representation. We discuss numerical problems encountered when finding efficiently a stable solution of the nonlinear constrained optimization problem. Numerical simulations are performed to show the effectiveness of the proposed algorithm.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2001.07a
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• pp.1069-1072
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• 2001

We described a method resonant mode identification in dielectric-rod loaded cylindrical cavity resonators. Resonant frequency of dielectric loaded cavity is calculated by analyzing the characteristic equation. The characteristic equation is solved by using the ContourPlot graph of Mathematica. As the result of comparing calculation value and experimental value of resonant frequencies, we know that the field representation of non-decaying mode is exact. The contour graph method is not a method using approximated representation of electromagnetic field variation at the outer area of dielectric in the resonators but a method using exact representation.

• Korean Institute of Interior Design Journal
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• v.22 no.5
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• pp.106-113
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• 2013

Since the 1960's, diverse movements that oppose the uniform design tendency of modernism appears in Italy. Especially, Gaetano Pesce, who opposed uniformity and standardization that are based on mass production system, had interests in making unique product, not an identical product, while accepting modern production technology. Therefore, the purpose of this study is to comprehend Pesce's design, which creates diversity by arranging contingent, non-predictive, and episodic aspects in creative and acceptance processes according to the intension of the designer within mass production system, as a non-representational characteristic, which appears widely in modern thought and the arts, and examine how it is materialized in detailed design work. The study methods are first examining non-representation with theoretical contemplation and dealing with the design philosophy of Pesce based on the examination. Next, in order to discover non-representational characteristics that appear in the work of Pesce, it examines from introducing worker's creativity, user's possibility of choice, openness in the working process, and the aspects of researching materials. And a specific application method will be drawn through case analysis centered on furniture design. Gaetano Pesce's design that denies the world of representation based on the sameness comes to possess non-representational characteristics that acknowledge contingency and ceaselessly create difference by intentionally arranging during the working process.

• Journal of Science of Art and Design
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• v.12
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• pp.125-143
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• 2007

The politics penetrating through the contemporary art since modernism to postmodernism is to accomplish the 'Non-representation' in the artworks. This study argues that postmodernism did not put an end to the formalistic feature of modernism but intended to accomplish it. Modernist art aimed at purity, i.e. self-referential and self-definition art advocated by Clement Greenberg, and it carne to the end by accomplishing flatness and materiality. It was an 'evasion to the matter' which allocated the object from visuality of outer object to the psychic image of the subject. It failed being 'non-representational' as what it really achieved was transition of object. Jean Baudrillard's theory tried to overcome the representational quality by 'being simulacre'. In the representative artworks of the past, the meaning of artworks was reverted under the outer context or object. The meaning again failed being 'Non-representational' as it was restored to the psychic image of the subject in modernist artworks where the definite illusion was demolished Meanwhile, artwork advocating simulacre acquired Non-representational quality by liberating from both models. It did not deconstruct the self-referential tendency of modernism but maximized the Non-representational modernistic principle. After creating 'Non-representation' through simulacre, the existential status and function of an artwork is the inclination and moral of contemporary art as 'Non-representation'. The image theory of Henri Bergson sets the existential status of 'image' as it does not belong to either subject nor object. It provides significant foundation for arguing the existential status of simulacre. Moreover, though an artwork as a fragment forming a movement image in the world cannot represent the object, it can however sustain certain kind of fractal resemblance with the world by letting the two parties communicate. The theory of sense by Gilles Deleuze is of profound significance as it specifically indicated way how the stage of absorption through the unity of subject and object is realized in forms of artworks, and configured the latent and invisible energy.

• The Mathematical Education
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• v.56 no.2
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• pp.131-145
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• 2017

The representation of irrational numbers has a key role in the learning of irrational numbers. However, transparent and finite representation of irrational numbers does not exist in school mathematics context. Therefore, many students have difficulties in understanding irrational numbers as an 'Object'. For this reason, this research explored how mathematics textbooks affected to students' understanding of irrational numbers in the view of process and object. Specifically we analyzed eight textbooks based on current curriculum and used framework based on previous research. In order to supplement the result derived from textbook analysis, we conducted questionnaires on 42 middle school students. The questions in the questionnaires were related to the representation and calculation of irrational numbers. As a result of this study, we found that mathematics textbooks develop contents in order of process-object, and using 'non repeating decimal', 'numbers cannot be represented as a quotient', 'numbers with the radical sign', 'number line' representation for irrational numbers. Students usually used a representation of non-repeating decimal, although, they used a representation of numbers with the radical sign when they operate irrational numbers. Consequently, we found that mathematics textbooks affect students to understand irrational numbers as a non-repeating irrational numbers, but mathematics textbooks have a limitation to conduce understanding of irrational numbers as an object.

• Journal of Science Education
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• v.45 no.2
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• pp.247-256
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• 2021

Visual representation has been a useful tool in mathematical problem solving because it vividly express and structure the variables in the problem. But its effects may vary according to the types of problems. So, this study analyzes the survey results on the 5^th graders' visual representations using questionnaire consisting of the routine problems and the non-routine problems. The results are follows: The rate of correct answers in routine problems was higher than that of the non-routine problems. Even though the subjects were asked to solve the problem using visual representations, the ratio of solving the problem using the numerical expression was high in the routine problems. On the other hand, the rate of solving the problem using visual representation was high in the non-routine problems. The number of respondents who used visual representation in the non-routine problems was twice as many as that of the routine problems. But, among the subjects who used visual representation in the non-routine problems, the proportion of incorrect answers was also high, which resulted in using visual pictures. So, it is necessary to provide an experience that can use various types of the visual representations for problem solving and pay attention to the process of converting problems into visual representations.

• Korean Journal of Computational Design and Engineering
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• v.5 no.4
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• pp.293-300
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• 2000

The non-manifold geometric modeling technique is to improve design process and to Integrate design, analysis, and manufacturing by handling mixture of wireframe model, surface model, and solid model in a single data structure. For the non-manifold geometric modeling, Euler operators and other high level modeling methods are necessary. Boolean operation is one of the representative modeling method for the non-manifold geometric modeling. This thesis studies Boolean operations of non-manifold model with the data structure of selective storage. The data structure of selective storage is improved non-manifold data structure in that existing non-manifold data structures using ordered topological representation method always store non-manifold information even if edges and vortices are in the manifold situation. To implement Boolean operations for non-manifold model, intersection algorithm for topological cells of three different dimensions, merging and selection algorithm for three dimensional model, and Open Inventor(tm), a 3D toolkit from SGI, are used.