• 자연과학논문집
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• 제8권2호
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• pp.17-20
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• 1996

Fiber의 dimension이 일일 때, Equivariant Serre problem이 실 대수 범주에서 맞다는 것을 보였다. 즉 실 표현공간 위에서의 equivariant line bundle은 실 표현공간과 어떤 G-module의 product bundle과 동치임을 보였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권3호
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• pp.229-243
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• 2008

This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.25-33
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• 2001

Let G be a finite group with a probability measure. We investigate the random walks on G in terms of ergodicity of the associated skew product transformation.

• International journal of advanced smart convergence
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• 제13권2호
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• pp.172-186
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• 2024

With the globalization of the film industry, ethnic minority films have been developed and studied by many scholars for their special ethnic representation. The film "Tharlo" directed by Pema Tseden carefully explores the identity anxiety of a Tibetan shepherd. Through the connection and separation between the protagonist and traditional culture, it shows a complexity of modern ethnic identity for minority people. This study explores what kind of cinematic techniques and symbolic elements the director uses to shape ordinary characters, build a narrative space, and show ethnic representation. This paper puts forward a theoretical framework combining cinematic quantitative methods with qualitative narrative and semiotic analysis, aiming to deepen our understanding of cinematic techniques and ethnic representation, and provides a new perspective and profound insights for discussing the complexity faced by ethnic minorities in contemporary films. This study finds that Tseden's "Tharlo" successfully portrays the complex transformation of Tibetan cultural identity in the context of globalization and modernization through cinematic techniques such as fixed camera positions, long take and black-and-white cinematography, combined with the use of symbolic elements like mirrors, lambs and identity cards.

• 한국의상디자인학회지
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• 제25권1호
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• pp.153-168
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• 2023

Non-representation creates difference and change that can be used as a creative design method that satisfies contradictory requirements for similarity and differentiation. This study drew upon the characteristics of the concept of non-representation expressed in contemporary art and architecture, in which Gilles Deleuze's philosophical thinking was reflected, and analyzed the non-representation depicted in contemporary fashion. The non-representation expressed in contemporary art and architecture is as follows. Non-representation of delaying becoming focuses on reverting to preexisting objects and redefining traditional meaning, thereby delaying the representation of latent meaning. Non-representation of non-becoming removes existing values and typical forms and expresses amorphousness. Non-representation of becoming by repetition or reiteration realizes the difference caused by the passage of time by repeating or overlapping shapes. Non-representation of becoming expresses the transformation of space by flowing through time rather than by actual movement. Non-representation in contemporary fashion shows the following expression characteristics. First, the non-representation of deferring becoming deconstructs the traditional values and forms of clothing and expresses designs by displacement or juxtaposition. Second, the non-representation of non-becoming is expressed concepts unrelated to the body and focus upon amorphous objects that do not become concretized forms. Third, generative non-representation by repetition and overlap expresses the possibility of change by overlapping clothing items or details expressed by repeating segmented objects. Fourth, generative non-representation by movement reproduces the meaning of space and time by moving the shape of the clothing or visually changing the surface of the material of clothing. As a result of the study, the non-representation shown in contemporary fashion aims for versatility to conform to social changes. This study provides new insight into the fashion design method by increasing the understanding of the cocnept of non-representation and showing its potential.

• 한국실내디자인학회논문집
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• 제21권5호
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• pp.114-121
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• 2012

Gilles Deleuze is a philosopher who replaces the world of representation defined as supremacy of identity with the contemporary reason of non-representation in the history of western philosophy that wants to transcend Plato. Deleuze developed his own philosophical concept through philosophical reason and encounter with arts, for which reason he exerted a great influence on artists and architects in diverse fields. Particularly, 'Logic of Sensation' published in 1981 considers the non-representation painting approach through Francis Bacon's painting theory defined as 'invisible force's visibility'. And it is considered that SANAA's architecture among many contemporary architects accepted the essence of Deleuze's philosophy and continuously reflects it on projects. Hence, objective of the present study is to consider how the non-representation constituting a root for Deleuze's reason has been indicated in paintings and architecture through examining the works by Bacon and SANAA. First, a theoretical consideration will be directed to non-representation, followed by an analysis of Bacon's painting works and SANAA's architecture projects from the viewpoints of the force of isolation, the force of transformation, the force of dissipation and the force of time dealt with by Deleuze in 'Logic of Sensation'. Finally, through such analysis, the characteristics of Deleuze's non-representation indicated in architecture and paintings will be derived.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제13권4호
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• pp.245-253
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• 2013

Knowledge representation realized by information granules is one of the essential facets of granular computing and an area of intensive research. Fuzzy clustering and clustering are general vehicles to realize formation of information granules. Granulation - degranulation paradigm is one of the schemes determining and quantifying functionality and knowledge representation capabilities of information granules. In this study, we augment this paradigm by forming and optimizing a collection of associations among original and transformed information granules. We discuss several transformation schemes and analyze their properties. A series of numeric experiments is provided using which we quantify the improvement of the degranulation mechanisms offered by the optimized transformation of information granules.

• 한국정밀공학회지
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• 제13권7호
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• pp.100-114
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• 1996

In order to create a solid model more efficiently for a plastic or sheet metal product with a thin and constant thickness, various methods have been proposed up to now. One of the most typical approaches is to create a sheet model initially and then transform it into a solid model automatically for a given thickness. The sheet model as well as the transitive model in sheet modeling procedure is a non-manifold model. However, the previous methods adopted the boundary representations for a solid model as their topological framework. Thus, it is difficult to represent the exact adjacency relationship between topological entities and to implement the topological operations for sheet modeling and the transformation procedure of a sheet into a solid. In this paper, we proposed a sheet modeling system based on a non-manifold topological representation which can represent solids, sheets, wireframes, and their mixture. A set of generalized Euler operators for non-manifold topology as well as the sheet modeling capabilities including adding, bending, and punching functions are provided for easy modeling of sheet objects, and they are perfomed interactively with a two dimensional curve editor. Once a sheet model is completed, it can be transformed into a solid automatically. The transformation procedure is composed of the offset functions and the Boolean operations of sheet models, and it is even more comprehensive and easier to be implemented than the precious methods.

• 대한기계학회논문집B
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• 제30권1호
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• pp.8-15
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• 2006

A Sparse Point Representation(SPR) based on interpolation wavelets is presented. The SPR is implemented for the purpose of CFD data compression. Unlike conventional wavelet transformation, the SPR relieves computing workload in the similar fashion of lifting scheme that includes splitting and prediction procedures in sequence. However, SPR skips update procedure that is major part of lifting scheme. Data compression can be achieved by proper thresholding method. The advantage of the SPR method is that, by keeping even point physical values, low frequency filtering procedure is omitted and its related unphysical thresholing mechanism can be avoided in reconstruction process. Extra singular feature detection algorithm is implemented for preserving singular features such as shock and vortices. Several numerical tests show the adequacy of SPR for the CFD data. It is also shown that it can be easily extended to nonlinear adaptive wavelets for enhanced feature capturing.

• 산업공학
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• 제13권1호
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• pp.10-16
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• 2000

The main purpose of this paper is to explore the role of meta-knowledge for knowledge creation and knowledge transformation in cooperative problem solving processes. For this I will discuss what the primary functions of meta-knowledge are from the knowledge representation perspective. The proposed theoretical model is useful to develop a new form of knowledge management support systems beyond the first generation of knowledge-based systems.