• 제목/요약/키워드: multi-dimensional

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다차원 유동의 정확한 수치해석 : 다차원 고차 내삽 기법 (Accurate Computations for Multi-dimensional Flows : Multi-dimensional Higher order Interpolation Scheme)

  • 김규홍;김종암;노오현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 추계 학술대회논문집
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    • pp.11-17
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    • 2003
  • The new multi-dimensional higher order interpolation scheme called MHIS is developed. Firstly, multi-dimensional TVD condition is derived based on one-dimensional TVD condition. Using multi-dimensional TVD condition, 2nd, 3rd and 5th order MHIS are presented. By help of multi-dimensional TVD condition, it is possible to captured a discontinuity monotonically even in a multi-dimensional flow. It is verified through several test cases that the accuracy and the robustness of MHIS are enhanced in regions of shock discontinuities as well as boundary-layers.

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다차원 압축성 유동 해석을 위한 MLP 기법의 개발 (Development of Multi-dimensional Limiting Process for Multi-dimensional Compressible Flow)

  • 윤성환;김종암;김규홍
    • 한국항공우주학회지
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    • 제34권7호
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    • pp.1-11
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    • 2006
  • 본 논문에서는 불연속면이 포함된 다차원 유동에서 흔히 발생하는 수치적 진동현상을 막기 위해 기존의 TVD 제한자를 분석함으로써 새로운 형태의 다차원 제한 함수를 유도하였다. MLP 기법은 유도된 다차원 제한 함수를 기반으로 하며, 다차원 불연속면에서의 수치 진동을 효과적으로 제거하고 동시에 3차 이상의 공간 정확도 내삽기법과 함께 사용할 수 있다는 장점을 갖는다. 또한, 정상 유동의 경우 수치 진동이 제거됨으로써 수렴성이 향상됨을 확인할 수 있었고, 실제 코드에 적용하는 방법도 간단하다. MLP 기법을 적용함으로써 불연속 유동 뿐 만 아니라 연속 유동에서도 정확성, 효율성, 강건성 면에서 향상된 결과를 얻을 수 있음을 여러 가지 수치 실험을 통하여 확인하였다.

단독주택 리모델링의 다차원모듈 설계 방법 적용을 위한 사례조사 연구 - 단독주택 사례 조사를 통한 인터페이스맵 작성을 중심으로 - (A Study on the Method for Multi-dimensional Module Plan of Detached House Remodeling)

  • 이찬용
    • 한국디지털건축인테리어학회논문집
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    • 제11권2호
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    • pp.61-70
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    • 2011
  • This study aims to establish the concept about a new approaching method dor remodeling in the planning step. also, this study sets up the way how to approach in a dimensional way by classifying the conceptual composition of the target housing as a method. The dimensional definition is as below. The one dimensional approach: the spot. the two dimensional approach: the line, the three dimensional approach: the apatial mass, the four dimensional approach: space + time, the n dimensional (multi-dimensional) approach: the space + time + emotion. The research findings are as follows : For the purpose of remodeling, the old housing should be viewed in the three dimensional shape and space. It is defined as multi-dimensional module method to design the shape and space of the target housing in a multi-dimensional point, considering the three dimensional space composition, the emotion of the user, the housing itself. and the time of the user.

Multi-dimensional extrapolation on use of multi multi-layer neural networks

  • Oshige, Seisho;Aoyama, Tomoo;Nagashima, Umpei
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.156-161
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    • 2003
  • It is an interest problem to predict substance distributions in three-dimensional space. Recently, a research field as Geostatistics is advanced. It is a kind of inter- or extrapolation mathematically. Some useful means for the inter- and extrapolation are known, in which slide window method with neural networks is hopeful one. We propose multi-dimensional extrapolation using multi-layer neural networks and the slide-window method. The multi-dimensional extrapolation is not similar to one-dimension. It has plural algorithms. We researched line predictors and local-plain predictors I two-dimensional space. The both predictors are equivalent; however, in multi-dimensional extrapolation, it is very important to find the direction of predictions. Especially, since the slide window method requires information to predict the future in sampling data, if they are not ordered appropriately in the direction, the predictor cannot operate. We tested the extrapolation for typical two-dimensional functions, and found an excellent character of slide-window method based on local-plain. By using the method, we can extrapolate the function until twice-outer regions of the definitions.

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Multi-dimensional Interactivity for Learners' Satisfaction with e-Learning

  • Lee, Ji-Eun;Shin, Min-Soo
    • Journal of Information Technology Applications and Management
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    • 제17권3호
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    • pp.135-150
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    • 2010
  • Interactivity has been referred to as an important element promoting students' active participation in virtual classes. Assuming that interactivity cannot be defined by a single dimension, this study proposes multi-dimensional interactivity. Multi-dimensional interactivity includes all types of interactivity in e-learning. This study explored multi-dimensional interactivity which affects learners' satisfaction with e-learning. Data were collected from 132 students who had attended e-learning courses and the relationship between multi-dimensional interactivity and learners' satisfaction levels were tested through regression analysis. The result of this study showed that mechanical, reactive, and creative interactivity were positively related to learners' satisfaction. However, social interactivity seemed not to be related to learners' satisfaction. This study provides new insights on interactivity and verifies the importance of the multi-dimensional interactivity. The result of this study is expected to provide practical implications for interactivity strategies in e-learning.

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다차원 공간 제한 기법의 3차원 비정렬 격자계로 확장 (EXTENSION OF MULTI-DIMENSIONAL LIMITING PROCESS ONTO THREE-DIMENSIONAL UNSTRUCTURED GRIDS)

  • 박진석;김종암
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.404-411
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    • 2010
  • The present paper deals with the continuous work of extending multi-dimensional limiting process (MLP), which has been quite successfully proposed on two- and three-dimensional structured grids, onto the unstructured grids. The basic idea of the present limiting strategy is to control the distribution of both cell-centered and cell-vertex physical properties to mimic a multi-dimensional nature of flow physics, which can be formulated as so called the MLP condition. The MLP condition can guarantee a high-order spatial accuracy without yielding spurious oscillations. Recently, MLP slope limiter was proposed based on the MUSCL-type reconstruction in two-dimensional case and it can be readily extended to three-dimensional case. Through various numerical analyses and extensive computations, it is observed that the proposed limiters are quite effective in controlling numerical oscillations and very accurate in capturing both discontinuous and continuous multi-dimensional flow features on 3-D tetrahedral grids.

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Multi-dimensional models for predicting the chloride diffusion in concrete exposed to marine tidal zone: Methodology, Numerical Simulation and Application

  • Yang Ding;Zi-Xi He;Shuang-Xi Zhou
    • Computers and Concrete
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    • 제34권2호
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    • pp.169-178
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    • 2024
  • To circumvent the constraints of time-consuming experimental methods, numerical simulation can be one of the most effective approaches to investigating chloride diffusion behaviors in concrete. However, except for the effect of the external environments, the transport direction of the chloride cannot be neglected when the concrete is exposed to the marine tidal zone, especially in certain areas of concrete members. In this study, based on Fick's second law, considering the effects of timevarying, chloride binding capacity, concrete stress state, ambient temperature, and relative humidity on chloride diffusion coefficient, the modified one-dimensional, two-dimensional, and three-dimensional novel modified chloride diffusion theoretical models were established through defining the current boundary conditions. The simulated results based on the novel modified multi-dimensional model were compared with the experimental results obtained from some previous pieces of literature. The comparing results showed that the modified multi-dimensional model was well-fitted with experimental data, confirming the high accuracy of the novel modified model. The experimental results in literature showed that the chloride diffusion in the corner area of the concrete structure cannot be simulated by a simple one-dimensional diffusion model, where it is necessary to select a suitable multi-dimensional chloride diffusion model for simulation calculation. Therefore, the novel modified multi-dimensional model established in this study has a stronger applicability for practical engineering.

효율적 다차원 성상도를 이용한 다중 반송파 전송 시스템의 전력 감소법 (Power Reduction of Multi-Carrier Transmission System by Using Multi-Dimensional Constellation Mappings)

  • 이경원;김장현;김대진
    • 방송공학회논문지
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    • 제14권6호
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    • pp.733-741
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    • 2009
  • 디지털 통신 시스템에서는 대역폭과 전력을 효율적으로 사용하면서 신뢰성 높은 데이터 전송을 요구한다. 본 논문에서는 다중 반송파 방식을 사용하는 시스템에서 반송파의 직교성을 이용하여 다차원 성상도를 구현하고 전력 소비가 큰 성상 포인트의 위치를 재배치하여 평균 소비 전력을 감소시킬 수 있는 기술을 제안한다. 기존의 2차원 QAM 변조 방식을 N개의 부반송파를 사용하여 다차원 QAM 형태로 단순하게 변환하면 2 N차원 큐브 형태의 성상 포인트가 구성되는데, 전력 소비가 많은 최외각 성상 포인트들을 효율적으로 재배치하면 전력 소비를 최소화할 수 있는 2 N차원 구 형태의 성상도를 구성할 수 있다. 이와 같은 방식으로 16-QAM부터 2,048-QAM까지의 2차원 성상도를 다차원으로 변환하여 구성하고 전산모의실험을 통해 얻을 수 있는 평균 소비 전력 이득 값을 비교 분석하였다. 차원을 높일수록 재배치 성상 포인트들이 증가하므로 평균 소비 전력 이득 값이 커지는 것을 알 수 있다. 하지만 차원 증가에 따른 이득의 증가비율은 로그 형태를 가지고 있기 때문에 QAM의 성상 포인트 개수에 따라 일정한 이득값에 수렴하게 되고 수렴 값을 바탕으로 적정 다차원 성상도를 유도할 수 있다. 본 논문에서 제안한 방법으로 데이터를 전송하는 것은 하드웨어 복잡도 증가가 거의 없이 소비 전력의 효율성을 높이는데 효과적이다.

다차원 DCT를 이용한 비디오 부호화기 설계 (Design of video encoder using Multi-dimensional DCT)

  • 전수열;최우진;오승준;정세윤;최진수;문경애;홍진우;안창범
    • 방송공학회논문지
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    • 제13권5호
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    • pp.732-743
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    • 2008
  • 본 논문은 H.264/AVC가 이전의 비디오 코덱에서 사용하는 8$\times$8 변환이 아닌 4$\times$4 변환을 도입하면서 인트라 및 인터 예측 성능을 높인 반면 공간적 압축도가 낮은 점을 개선하기 위한 다차원 변환 방법을 제안한다. 다차원 변환 방법은 H.264/AVC가 갖는 시간적 예측의 장점과 공간적 압축도를 동시에 충족시킬 수 있는 방법이다. 먼저 실험을 통해 다차원 DCT가 H.264/AVC의 2차원 정수 변환(Integer Transform)보다 에너지 압축율이 높다는 것을 보였다. 다차원 DCT를 위한 정수형 변환과 양자화기를 설계하였으며, H.264에서 사용하는 컨텍스트 기반 적응 가변 길이 코딩 (CAVLC)을 엔트로피 코더로 사용하여 다차원 부호화기를 설계하였다. 다차원 부호화기에는 다차원 변환에 따른 블록 주사 방식과 파라미터 갱신, 다차원 변환 모드 선택 등의 도구가 적용되었다. 실험 결과, 다차원 부호화기는 낮은 비트율에서 H.264/AVC와 유사한 압축 효율을 보였지만, 엔트로피와 0이 아닌 계수를 계산하여 비교한 통계적 성능 비교에서는 높은 성능을 보였다. 따라서, 다차원 부호화에 대한 추가적인 연구가 진행된다면 기존의 H.264/AVC의 성능을 보완할 수 있는 부호화 알고리즘으로서 발전할 수 있을 것이다.

다차원 신호집합에서의 트렐리스 쉐이핑 (A trellis shaping on multi-dimensional constellation)

  • 윤석현;이영조;문태현;고영훈;홍대식;강창언
    • 전자공학회논문지A
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    • 제33A권10호
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    • pp.12-21
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    • 1996
  • The trellis shaping is the method of selecting a minimum weight sequence from an equivalent class of possible transmitted sequences. It is perforemed by searching through the trellis diagram of a shaping convolutional code Cs. A shaping gain of the order of 1dB may be obtained with a simple 4-state shaping code. But when the rellis shaping is applied to multi-dimensional constellation, the shaping gain is decreased and the transmission delay is increased, which make it difficult to apply the trellis shaping to multi-dimensional constellation. In this paper, in order to solve these problems, the shell mapping algorithm is used for the mapper in the proposed trellis shaping. The simulatio result shows that the proposed trellis shaping is better than coventional trellis shaping to multi-dimensional constellation. In this paper, in order to solve these problems, the shell mapping on multi-dimensional costellation with respect to shaping gain and transmission delay. And the constellation expansion ratio (CER) and the capacity of transmitted injformation are identical to those of conventional trellis shaping on multi-dimensional constellation.

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