• 제목/요약/키워드: condition number

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Atomistic analysis of nano/micro biosensors

  • Chen, James;Lee, James D.
    • Interaction and multiscale mechanics
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    • 제3권2호
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    • pp.111-121
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    • 2010
  • Dynamic analysis of nano/micro bio-sensors based on a multiscale atomistic/continuum theory is introduced. We use a generalized atomistic finite element method (GAFEM) to analyze a bio-sensor which has $3{\times}N_a{\times}N_p$ degrees of freedom, where $N_p$ is the number of representative unit cells and $N_a$ is the number of atoms per unit cell. The stiffness matrix is derived from interatomic potential between pairs of atoms. This work contains two studies: (1) the resonance analysis of nano bio-sensors with different amount of target analyte and (2) the dependence of resonance frequency on finite element mesh. We also examine the Courant-Friedrichs-Lewy (CFL) condition based on the highest resonance frequency. The CFL condition is the criterion for the time step used in the dynamic analysis by GAFEM. Our studies can be utilized to predict the performance of micro/nano bio-sensors from atomistic perspective.

비율제한 및 과제제시방법에 따른 3, 4, 5세 유아의 비상징 수 비교능력 (An Investigation Into 3-, 4-, and 5-Year-Old Children's Nonsymbolic Magnitude Comparison Ability According to Ratio Limit and Task Condition)

  • 조우미;이순형
    • 아동학회지
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    • 제38권1호
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    • pp.117-126
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    • 2017
  • Objective: The purpose of this study was to investigate young children's nonsymbolic magnitude comparison ability according to ratio limit and task condition. Methods: The participants included 40 3-year-old children, 42 4-year-old children, and 41 5-year-old children recruited from 4 childcare centers located in Seoul, Korea. All magnitude comparison tasks were composed of image material tasks and concrete material tasks. In addition, each magnitude comparison task varied with the ratio of the two quantities; 0.5 ratio, 0.67 ratio, 0.75 ratio. Results and Conclusion: The results revealed that 3-, 4-, and 5-year-old children could perform nonsymbolic magnitude comparison tasks without learning experiences. Also, 3-, 4-, and 5-year-old children could perform concrete material tasks better than image material tasks in nonsymbolic magnitude comparison tasks. Furthermore, children's performance on nonsymbolic magnitude comparison tasks indicated the ratio signature of the approximate number system. Children have a degree of numerical capacity prior to formal mathematics instruction. Also, children were influenced by task conditions or sense stimulus when they processed numerical information. Furthermore, the approximate number system can be used in understanding the ordinality of number.

The Selection of Measurement Positions for BEM Based NAH Using a Non-conformal Hologram to Reduce the Reconstruction Error

  • Oey, Agustinus;Ih, Jeong-Guon
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.1018-1021
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    • 2007
  • This paper explores the use of BEM based NAH to reconstruct the surface vibration of a plate in a rectangular finite cavity, in which the distances between sensors and the nearest points on the source surface are not equal. In such circumstances, different degree of information on propagating and non-propagating wave components will be detected by sensors at different positions, as well as the influence of measurement noise will vary significantly from the nearest points of measurement to the farthest ones. On the other hand, the condition number of the vibro-acoustic transfer function matrix relating normal surface velocities and field pressures will becomes high, numerically indicating an increase of linear dependency between rows of transfer function matrix. The combination of poor measurement and high condition number will result inaccurate reconstruction. Therefore, one approach to be investigated in this work is to select the measurement positions in such ways that reduce measurement redundancy, as it indicated by the condition number. The improvement is found to be significant in the numerical simulations utilizing two different criterions, spanning from over-determined to under-determined cases, and in the validation experiment.

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균일조도관의 양해법 설계 기준식 (Basic Equations for Explicit Design of Uniformly Rough Pipe)

  • 유동훈
    • 물과 미래
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    • 제28권5호
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    • pp.175-189
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    • 1995
  • 어떤 조건이 주어져 있을 때 펌프의 일률, 관내유출률, 관경 등이 보통 관로설계에서 요구되는 사항들이다. 여러 연구자들의 연구 덕택으로 이제 수리조건이 주어지면 관마찰계수는 양해법으로 바로 산정할 수 있게 되었다. 그러나 많은 관로설계에 있어 관내 조면이 귤일하게 분포되어 있다 하더라도 기존방법을 사용하여서는 수리조건을 미리 결정할 수 없다. 이러한 경우 정확한 해를 구하기 위하여는 흔히 여러번 반복시산하여야 되는 어려움이 따른다. 본고는 균일조도관인 경우이러한 반복과정을 거치지 않고 유출률과 관경 등을 바로 결정하는 방법을 제시하였다. 전개과정중 새로운 무차원수, 동력관경수, 동력유출수와 유출경사수등을 도출하였음을 밝히며, 이로부터 양해법 산정식을 개발할 수 있었다.

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이중 선택적 채널 OFDM 시스템을 위한 블록 선형 MMSE 등화 방식의 성능 분석 (Performance Analysis of Block Linear MMSE Equalization for OFDM Systems in Doubly Selective Channels)

  • 임동민
    • 한국전자파학회논문지
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    • 제21권1호
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    • pp.76-82
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    • 2010
  • 본 논문에서는 이중 선택적 채널 OFDM 시스템을 위한 블록 선형 MMSE(Minimum Mean Square Error) 등화 방식의 성능을 컴퓨터 모의실험을 통하여 분석한다. 블록 선형 MMSE 등화 방식의 BER(Bit Error Rate) 성능은 SNR(Signal-to-Noise Ratio)이 증가함에 따라 BER이 처음에는 감소하다가 SNR이 일정 값을 넘어서면 BER이 오히려 증가하는 다소 특이한 현상을 나타낸다. 본 논문에서는 블록 선형 MMSE 등화 과정에 포함된 선형연립방정식 계수 행렬의 상태수(condition number) 분석을 통하여 이러한 블록 선형 MMSE 등화 방식의 BER 특성을 규명하고 높은 SNR 값에서의 BER 성능 저하를 개선하는 새로운 방안을 제시한다.

A DUAL ITERATIVE SUBSTRUCTURING METHOD WITH A SMALL PENALTY PARAMETER

  • Lee, Chang-Ock;Park, Eun-Hee
    • 대한수학회지
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    • 제54권2호
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    • pp.461-477
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    • 2017
  • A dual substructuring method with a penalty term was introduced in the previous works by the authors, which is a variant of the FETI-DP method. The proposed method imposes the continuity not only by using Lagrange multipliers but also by adding a penalty term which consists of a positive penalty parameter ${\eta}$ and a measure of the jump across the interface. Due to the penalty term, the proposed iterative method has a better convergence property than the standard FETI-DP method in the sense that the condition number of the resulting dual problem is bounded by a constant independent of the subdomain size and the mesh size. In this paper, a further study for a dual iterative substructuring method with a penalty term is discussed in terms of its convergence analysis. We provide an improved estimate of the condition number which shows the relationship between the condition number and ${\eta}$ as well as a close spectral connection of the proposed method with the FETI-DP method. As a result, a choice of a moderately small penalty parameter is guaranteed.

6자유도를 갖는 병렬형 기구의 병진속도와 회전속도 성능 지표에 관한 연구 (A Study on Translational and Rotational Velocity Performance Indices of Six-Degree-of-Freedom parallel Mechanism)

  • 김찬수
    • 한국게임학회 논문지
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    • 제10권6호
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    • pp.57-65
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    • 2010
  • 본 논문에서는 6자유도를 갖는 병렬형 기구의 출력 속도 공간에서 성능을 평가할 수 있는 지표를 제안하였다. Manipulability와 condition number에 기반을 둔 성능 지표가 단위계의 볼일치로 인한 물리적 의미의 결함이 없도록 출력공간을 병진속도 공간과 회전속도 공간으로 분리하는 방법을 제안하였다. 각 공간에서 단위 입력에 대용하는 mobility ellipsoid를 정의하여 이를 기반으로 병진운동 출력공간에서 두 종류 성능 지표와 회전운동 공간에서 두 종류의 성능 지표를 제안하였다.

Effects of elevated CO2 concentration and temperature on growth and production of Oryza sativa L. cv. Ilmi, one of the main rice varieties in Korea

  • Lee, Eung-Pill;Park, Jae-Hoon;Jang, Rae-Ha;You, Young-Han
    • Journal of Ecology and Environment
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    • 제38권3호
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    • pp.335-342
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    • 2015
  • This research was conducted to examine the changes in growth and production of Oryza sativa L. cv. Ilmi, which was developed to cultivate high yielding rice variety in the Southern plains of Korea. The seedlings of the rice were cultivated from May to October in 2012 under three different conditions: control, AC-AT, ambient $CO_2$ + ambient temperature; AC-ET, ambient $CO_2$ + elevated temperature; EC-ET, elevated $CO_2$ + elevated temperature. The aboveground biomass, belowground biomass, the total biomass of the rice, and panicle weight per individual were the heaviest in the EC-ET. But, the number of grains per panicle and the weight of one grain was higher at the condition of AC-ET and EC-ET than that of AC-AT. The number of tiller was higher at the condition of AC-AT and AC-ET than that of EC-ET. However, there was no significant difference in the number of panicles per individual and the ripened grain rate among the control and global warming treatments. Crop yield was the highest in the EC-ET. This result means that the global warming condition should be considered in the selection of suitable paddy field for the limibyeo in the future.

LEAST-SQUARE SWITCHING PROCESS FOR ACCURATE AND EFFICIENT GRADIENT ESTIMATION ON UNSTRUCTURED GRID

  • SEO, SEUNGPYO;LEE, CHANGSOO;KIM, EUNSA;YUNE, KYEOL;KIM, CHONGAM
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제24권1호
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    • pp.1-22
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    • 2020
  • An accurate and efficient gradient estimation method on unstructured grid is presented by proposing a switching process between two Least-Square methods. Diverse test cases show that the gradient estimation by Least-Square methods exhibit better characteristics compared to Green-Gauss approach. Based on the investigation, switching between the two Least-Square methods, whose merit complements each other, is pursued. The condition number of the Least-Square matrix is adopted as the switching criterion, because it shows clear correlation with the gradient error, and it can be easily calculated from the geometric information of the grid. To illustrate switching process on general grid, condition number is analyzed using stencil vectors and trigonometric relations. Then, the threshold of switching criterion is established. Finally, the capability of Switching Weighted Least-Square method is demonstrated through various two- and three-dimensional applications.

목초의 생산성에 미치는 차광의 영향 (Influence of Shading on the Productivity of Grasses and Legumes)

  • 최진용;홍광표
    • 한국초지조사료학회지
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    • 제7권1호
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    • pp.8-17
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    • 1987
  • Four foreign pasture cultivars such as Lotus corniculatus cv. Maitland, Trifolium pratense cv. Deben, Lolium perenne cv. $S_{23}$ and .Dactylis glomerata cv. $S_{26}$ were tested with "Kwisan" series, a common upland soil in Southern part of Korea. The cultivars in single or mixture were grown in pot with two levels of light intensity, i.e. a full sun light condition and 50% interception. Dry matter yield of top and root and their seasonal changes, the number of tillers or branches per plant and finally competative effects of mixtures were evaluated by estimating the expected yield, relative yield totals and compensation index. The results are summarized as follows: 1. Maitland showed a significant decrease in dry matter yield in shade condition, but the number of branches of Maitland was higher than those of Deben. 2. Maitland showed higher dry matter yield than Deben during the mid-summer period, while $S_{23}$, showed higher dry matter yield than $S_{26}$ during early season. 3. Mixtures of $S_{23}$ and Maitland, and $S_{26}$ and Deben gave better response to grasses by increasing the number of tillers in shade condition. 4. Combinations of Lotus corniculatus cv. Maitland and Dactylis glomerata cv. $S_{26}$ and Trifolium pratense cv. Deben and Dactylis glomerata cv. $S_{26}$ gave higher relative yield totals and higher compensation index, which envisages that the pasture establishment rates can be enhanced when those mixtures were sown by the oversowing method in the upland soil where phosphate level is very low and infertile in general.n general.

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