• 대한수학회보
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• 제47권1호
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• pp.29-37
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• 2010

We establish the existence of weak solutions in an infinite subsonic channel in the self-similar plane to the two-dimensional Burgers system. We consider a boundary value problem in a fixed domain such that a part of the domain is degenerate, and the system becomes a second order elliptic equation in the channel. The problem is motivated by the study of the weak shock reflection problem and 2-D Riemann problems. The two-dimensional Burgers system is obtained through an asymptotic reduction of the 2-D full Euler equations to study weak shock reflection by a ramp.

• 대한수학회보
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• 제52권6호
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• pp.1945-1962
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• 2015

This paper is mainly concerned with the formation of delta standing wave for the scalar conservation law with a linear flux function involving discontinuous coefficients by using the self-similar viscosity vanishing method. More precisely, we use the self-similar viscosity to smooth out the discontinuous coefficient such that the existence of approximate viscous solutions to the delta standing wave for the Riemann problem is established and then the convergence to the delta standing wave solution is also obtained when the viscosity parameter tends to zero. In addition, the Riemann problem is also solved with the standard method and the instability of Riemann solutions with respect to the specific small perturbation of initial data is pointed out in some particular situations.

• 대한수학회논문집
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• 제13권4호
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• pp.781-789
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• 1998

Let K be a loosely self-similar set. Then a-dimensional packing measure of K is the same as that of a Borel subset K( $r_1^{\alpha}$ㆍㆍㆍ$r_{m}$ $^{\alpha}$/) of K. And packing dimension of K is equal to that of K\K( $r_1^{\alpha}$ㆍㆍㆍ $r_{m}$ $^{\alpha}$/) and K( $r_1^{\alpha}$ㆍㆍㆍ $r_{m}$ $^{\alpha}$/).X> $^{\alpha}$/)).

• International Journal of Aeronautical and Space Sciences
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• 제16권3호
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• pp.339-346
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• 2015

Aerodynamic flow control phenomena were investigated with a low-current DC surface discharge plasma actuator. The plasma actuator was found to operate in three different discharge modes with similar discharge currents of about 1 mA or less. Stable continuous DC discharge without audible noise was obtained at higher ballast resistances and lower discharge currents. However, even with continuous DC power input, a low-frequency self-pulsed discharge was obtained at lower ballast resistances, and a high-frequency self-pulsed discharge was obtained at higher set-point currents and higher ballast resistances, both with audible noise. The Schlieren image reveals that the low-frequency self-pulsed mode produces a synthetic jet-like flow implying that a gas heating effect plays a role, even though the discharge current is small. The high-frequency self-pulsed mode produces pulsed jets in a tangent direction, and the continuous DC mode produces a steady straight pressure wave. Particle image velocimetry (PIV) images reveal that the induced flow field by the low-frequency self-pulsed mode has flow propagating in the radial direction and centered between the electrodes. The high-frequency self-pulsed mode and continuous DC mode produce flow from the anode to the cathode. The perturbed region downstream of the cathode is larger in the high-frequency self-pulsed mode with similar maximum speeds.

• Journal of the Optical Society of Korea
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• 제10권2호
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• pp.81-85
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• 2006

This study introduces an undefined self-imaging phenomenon, called here the pseudo-self-imaging phenomenon. The relative phases of the guided modes were used to discover how the pseudo-self-images are formed. The pseudo-self-image was found and measured experimentally. The experimental results showed that both the pseudo-self-image and the 0-dB self-image have similar intensity values and have opposite positions in the lateral direction.

• 한국콘텐츠학회논문지
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• 제5권3호
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• pp.175-181
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• 2005

현재 제공되는 인터넷 서비스들의 동작 특성은 기존에 고려되던 트래픽 특성과는 완전히 다른 자기 유사성(Self-similarity)이라는 성질을 가진다는 것이 증명되었다. 자기 유사성은 장기간 의존성으로 표현되는데, 이것은 단기간 의존성 성질을 갖는 기존의 모델인 포아송(Poisson) 모델과는 상반되는 개념이다 따라서 차세대 통신망의 설계 및 디멘져닝을 위해서는 무엇보다도 데이터 트래픽의 주요 특성인 버스트성(Burstiness)과 자기유사성이 반영된 트래픽 모델이 요구된다. 여기서 자기유사성은 허스트 파라미터(Hurst Parameter)로 특성화 될 수 있다. 이러한 관점에서 본 논문에서는 데이터 트래픽 특성이 서로 다른 다수의 데이터 트래픽의 통합되어 통신망에 입력되는 경우 주요 파라미터인 허스트 파라미터의 변화를 다양한 환경 하에서 분석하였고 이를 시뮬레이션 결과와도 비교하였다.

• 디지털콘텐츠학회 논문지
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• 제5권1호
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• pp.7-11
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• 2004

차세대 고속 통신망을 구축하기 위해서는 해결해야 할 많은 문제들이 있는데, 이 중에서 기본적으로 고려해야 할 사항은 바로 망에 흐르는 트래픽의 특성 분석이다. 현재 제공되는 많은 인터넷 서비스들의 동작 특성은 자기 유사성(Self-similar)이라는 기존에 고려되던 트래픽 특성과는 완전히 다른 장기간 의존성의 성질들을 가진다는 것이 증명되었다 이러한 장기간 의존성 성질을 표현하기 위한 모델로는 자기유사 모델이 있는데, 이것은 단기간 의존성을 표현하는 기존의 모델인 포아송 모델과는 상반되는 개념이다. 따라서 차세대 통신망의 설계 및 디멘져닝을 위해서는 무엇보다도 데이터 트래픽의 주요 특성인 버스트성(Burstiness)과 자기유사성이 반영된 트래픽 모델이 요구된다. 여기서 자기유사성은 허스트 파라미터(Hurst Parameter)로 특성화 될 수 있다. 본 논문에서는 데이터 트래픽의 자기유사성 및 큐잉지연을 고려한 유효대역폭 산출식을 유도하여 시뮬레이션 결과와 비교 분석하였다.

• The Korean Journal of Ceramics
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• 제4권2호
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• pp.90-94
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• 1998

Self diffusion coefficients of $^{67}$Co and impurity diffusion coefficients of $^{51}$Mn and $^{65}$Zn in single crystalline CoO have been measured by applying different radioactive isotopes simultaneously. To compare the residual activity method and the tracer sectioning method we analyzed our tracer diffusion experiments by using both methods simultaneously. According to our experimental results, the diffusion coefficients obtained from both methods are identical within experimental error, demonstrating the relibility of our experimental procedures. The diffusion coefficients of all the isotopes obtained during these test experiments for the methodology are similar in magnitude and show similar dependences on oxygen partial pressure. These first observations indicate that impurity diffusion of Mn and Zn occur via a vacancy mechanism as known for self diffusion of cobalt.

• Journal of applied mathematics & informatics
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• 제9권2호
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• pp.793-806
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• 2002

Feature-based similarity retrieval become an important research issue in image database systems. The features of image data are useful to discrimination of images. In this paper, we propose the highspeed k-Nearest Neighbor search algorithm based on Self-Organizing Maps. Self-Organizing Maps (SOM) provides a mapping from high dimensional feature vectors onto a two-dimensional space. The mapping preserves the topology of the feature vectors. The map is called topological feature map. A topological feature map preserves the mutual relations (similarity) in feature spaces of input data. and clusters mutually similar feature vectors in a neighboring nodes. Each node of the topological feature map holds a node vector and similar images that is closest to each node vector. In topological feature map, there are empty nodes in which no image is classified. We experiment on the performance of our algorithm using color feature vectors extracted from images. Promising results have been obtained in experiments.

• Management Science and Financial Engineering
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• 제8권1호
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• pp.39-51
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• 2002

Special structure of flow networks can reduce the order of the relative existent algorithms. In this paper a special structure of flow network called self-similar f1ow networks is introduced, After describing such networks an efficient algorithm for finding maximum flow is presented. It is shown that this algorithm runs in O(m) time.