• Korean Journal of Remote Sensing
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• v.21 no.5
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• pp.393-404
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• 2005

As multi-source spatial data fusion mainly deal with various types of spatial data which are specific representations of real world with unequal reliability and incomplete knowledge, proper data representation and uncertainty analysis become more important. In relation to this problem, this paper presents and applies an advanced data representation methodology for different types of spatial data such as categorical and continuous data. To account for the uncertainties of both categorical data and continuous data, fuzzy boundary representation and smoothed kernel density estimation within a fuzzy logic framework are adopted, respectively. To investigate the effects of those data representation on final fusion results, a case study for landslide hazard mapping was carried out on multi-source spatial data sets from Jangheung, Korea. The case study results obtained from the proposed schemes were compared with the results obtained by traditional crisp boundary representation and categorized continuous data representation methods. From the case study results, the proposed scheme showed improved prediction rates than traditional methods and different representation setting resulted in the variation of prediction rates.

• Journal of Science of Art and Design
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• v.4
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• pp.67-90
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• 2002

What is the semantic function of visual image in Contemporary art? This article proposes that representation is semantically still important in post-modernism as well as in modernism. The semantic function of representation has been changed by keeping pace with times. In modernism the 'outer representation' changed to 'inner representation', and in postmodernism the 'inner representation' changed to 'metaphorical representation'. The 'outer representation' means that image indicates a certain object or subject as the classical realism. In this case, the meaning of image is subordinate to an object, and a one-to-one correspond existed between the image and the object. Because this 'outer representation' is focused on an object but subject's intention, the indicative function of meaning is definite and singular. The 'inner representation' means that image exposes the fundamentals or process of an object. In this case, the meaning of image resolves itself into an absolute fundamental, and one-to-many correspond existed between the image and the object. Because this 'inner representation' is focused on essence and substance but an external form, the indicative function of meaning is inclusive and general. The 'metaphorical representation' means that image critically relates social constraint and condition as metaphor and allegory. In this case, the meaning of image is not subordinate to an object and a subject, and the image and the object indicate interactively. Because this 'metaphorical representation' is focused on interaction between subject, object, and interpreter, the indicative function of meaning is differant and ecological. This article focused on the representation because I believe that continuous thinking of totality can be opened by cognitive mapping, even though we never understand the world totally in the chaotic post modern age.

• Journal of the Korean earth science society
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• v.26 no.2
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• pp.114-128
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• 2005

Fuzzy information representation of multi-source spatial data is applied to landslide hazard mapping. Information representation based on frequency ratio and non-parametric density estimation is used to construct fuzzy membership functions. Of particular interest is the representation of continuous data for preventing loss of information. The non-parametric density estimation method applied here is a Parzen window estimation that can directly use continuous data without any categorization procedure. The effect of the new continuous data representation method on the final integrated result is evaluated by a validation procedure. To illustrate the proposed scheme, a case study from Jangheung, Korea for landslide hazard mapping is presented. Analysis of the results indicates that the proposed methodology considerably improves prediction capabilities, as compared with the case in traditional continuous data representation.

• East Asian mathematical journal
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• v.29 no.4
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• pp.449-466
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• 2013

This paper started from a question: Can it help a student solve the problem to give supports in point of view of a teacher knowing the solution. We performed a case study to get an answer for the question. We analysed a case which students do not make full use of data in the mathematical problem from this point of view of the mental representation. We examined closely the cause for not making full use of data. We got that the wrong mental representation which the students get from data in the problem lead to not making full use of data. We knew that it is insufficient to present the data not making use of. To help a student truly, it is necessary to give a aid based on a student's mental representation. From the conclusion of study, We got that figuring out student's mental representation is important and hope that many investigation about student's mental representation for various problem occur with frequency.

• ETRI Journal
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• v.11 no.1
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• pp.109-122
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• 1989

We developed new quadtree and octree representation schemes which reduce the storage requirements from exponential to polynomial. The new schemes not only lessen the large storage requirements of the existing quadtree and octree representation schemes but guarantee an exact representation of the original object. These are made possible by adopting a new set of termination conditions that ensure finiteness of the quadtree and octree during the decomposition. These new data structures are analyzed theoretically and tested empirically. For space complexity, we analyzed its best case, worst case, and average case. Given an $n_e$-gon, we show that the expected number of nodes in our quadtree isO($$$n_e^1.292$) For a polyhedron with $n_f$ faces, the expected number of nodes in the new octree is O($$$n_f^1.667$). For time complexity, we again analyzed the best, worst, and average cases for constructing such quadtree and octree and find the average to be the same as those of the space complexity. Finally, random $n_e$- gons are generated as test data. Regression equations are fitted and are shown to support the claims on the average case performance.

• Bulletin of the Korean Mathematical Society
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• v.51 no.4
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• pp.933-942
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• 2014

We give a representation of the component of solutions with characteristic multiplier 1 in a periodic linear inhomogeneous continuous system. It follows from this representation that asymptotic behaviors of the component of solutions to the system and to its associated homogeneous system are quite different, though they are similar in the case where the characteristic multiplier is not 1. Moreover, the representation is applicable to linear discrete systems with constant coefficients.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.389-398
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• 2013

Let R be a ring and $\mathcal{Q}$ be a quiver. In this paper we give another definition of purity in the category of quiver representations. Under such definition we prove that the class of all pure injective representations of $\mathcal{Q}$ by R-modules is preenveloping. In case $\mathcal{Q}$ is a left rooted semi-co-barren quiver and R is left Noetherian, we show that every cotorsion flat representation of $\mathcal{Q}$ is pure injective. If, furthermore, R is $n$-perfect and $\mathcal{F}$ is a flat representation $\mathcal{Q}$, then the pure injective dimension of $\mathcal{F}$ is at most $n$.

• Journal of the Korean Society for Precision Engineering
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• v.23 no.9 s.186
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• pp.119-126
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• 2006

This paper addresses the methodology development far the automated machining setup planning system using case-based reasoning(CBR). The case-based reasoning is used to develop a setup planning system. which consists of part input and representation module, case retrieval module, and case adaptation module. We present new approaches in the part input and representation module and the case retrieval module focusing on the similarity index determination. An illustrative example is included to demonstrate the proposed method.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 1996.04a
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• pp.709-712
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• 1996

Generating a project network of a specific construction project is very time consuming and difficult task in the field. To effectiviely automate and support the planning process, we design a case-based project planning expert system inspired by the fact a human expert project planner uses previous cases for planning a new project. A construction project case consist of its specific characteristics and the corresponding project network (i.e. project plan). Using frame based representation. we represent the project features affecting the progress network and the entities composing the project plan such as the buildings, construction methods, WBS (work breakdown structure), activities, and resources. The project planning process runs through most similar case retrieval, case adaptation, and user requirement satisfaction. We represent the construction domain knowledge for each procedure using constraints and rules. We develop the methodology for constraint-based case adaption. Case adaptation process mainly consist of activity generation/deletion and predecence constraint satisfaction, for which we develop the dynamic constraint generation method and connect user-level requirement representation the system-level network modification knowledge. The methodology is being applied to the prototype for apartment construction project planning.

• Journal of the Korean Institute of Landscape Architecture
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• v.24 no.3
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• pp.150-163
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• 1996

This study was carried out to find the general representation methods of wall with respaect to the Korean treaditional atmosphere based on case studies, 16 case studies were classified into two categores : traditional walls and designed walls expressing the treaditional atmosphere. And the representation methods of walls were viewed by two sides : the type of message and the role of sign. The results were summarized as follows ; ■ To reproduce the traditional walls is possible, in this case the role of sign is icon. ■ To reproduce or represint the visual element of the traditional walls will be also possible, in this case the role of sign is index. It is recommended to use 3 types of message in representing methods of walls expressing the Korean traditional atmosphere. ■ Shape ; Approach to shape is more effective than maerial or figure. It is possible to represent the shape element of the traditional walls. Specially, it will be effective to utilize the capital of traitional walls as shape element. ■ Material ; Conventional materials with less artificial processing used at traditional walls will be better suited. ■ Figure ; To utilize the traditional figures is possible. Specially, it will be effective to utilize the traditional figures as design approach with respaect to the sense of place. Futher research is required to find out the relationship between the meaning and the design mechanics.