• 제목/요약/키워드: Convergent

검색결과 2,252건 처리시간 0.028초

ON THE POWER SEQUENCE OF A FUZZY MATRIX CONVERGENT POWER SEQUENCE

  • Tian, Zhou;Liu, De-Fu
    • Journal of applied mathematics & informatics
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    • 제4권1호
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    • pp.147-166
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    • 1997
  • The convergence of the power sequence of an $n{\times}n$ fuzzy matrix has been studied. Some theoretical necessary and sufficient con-ditions have been established for the power sequence to be convergent generally. Furthermore as one of our main concerns the convergence index was studied in detail especially for some special types of Boolean matrices. Also it has been established that the convergence index is bounded by $(n-1)^2+1$ from above for an arbitrary $n{\times}n$ fuzzy matrix if its power sequence converges. Our method is concentrated on the limit behavior of the power se-quence. It helped us to make our proofs be simpler and more direct that those in pure algebraic methods.

Convergent beam electron diffraction의 정량분석을 응용한 재료의 구조분석 (Applications of quantitative convergent beam electron diffraction measurement for structural characterization)

  • 김규현;이민희;정새은;고세현
    • 한국표면공학회:학술대회논문집
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    • 한국표면공학회 2014년도 추계학술대회 논문집
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    • pp.176-177
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    • 2014
  • The new algorithm was proposed to quantify symmetry recorded in convergent beam electron diffraction (CBED) patterns and symmetry mapping. The proposed algorithm is based on the normalized cross-correlation coefficient (${\gamma}$) for quantifying the amount of symmetry in a CBED pattern. The quantification and mapping procedures are automatically controlled by the script implemented in Gatan Digital Micrograph$^{(c)}$. We apply the quantitative CBED measurement to a strained Si sample to test the sensitivity to defects.

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적응적 유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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Uniformly Convergent Numerical Method for Singularly Perturbed Convection-Diffusion Problems

  • Turuna, Derartu Ayansa;Woldaregay, Mesfin Mekuria;Duressa, Gemechis File
    • Kyungpook Mathematical Journal
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    • 제60권3호
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    • pp.629-645
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    • 2020
  • A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.

Adaptive 알고리즘을 이용한 PMSM의 최대 효율 제어 (Maximum Efficiency Control of PMSMs Using Adaptive Algorithm)

  • 박승찬;김도현;김상훈
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2019년도 추계학술대회
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    • pp.98-99
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    • 2019
  • 본 논문에서는 PMSM(Permanent Magnet Synchronous Motor)의 구동 효율을 향상시키기 위한 최대 효율 제어 기법에 대해 제안한다. 제안된 기법은 전동기의 입력 전력이 최소가 되도록 Gradient Decent 알고리즘을 기반으로 하는 최적화 기법인 Adaptive 알고리즘을 통해 전류각을 조정한다. 제안된 기법을 통해 동손을 최소로 제어하는 기존 MTPA(Maximum Torque Per Ampere) 제어 방식 보다 구동 효율을 향상시킬 수 있으며 전동기의 제정수 오차에 강인하다. 1.7kW IPMSM의 모의실험을 통해 제안된 기법의 효용성을 검증하였다.

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Function Optimization Using Quadratically Convergent Algorithms With One Dimensional Search Schemes

  • Kim, Do-Il
    • 대한산업공학회지
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    • 제14권2호
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    • pp.25-40
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    • 1988
  • In this paper, a unified method to construct a quadratically convergent algorithm with one dimensional search schemes is described. With this method, a generalized algorithm is derived. As it's particular cases, three quadratically convergent algorithms are performed. They are the rank-one algorithm (Algorithm I), projection algorithm (Algorithm II) and the Fletcher-Reeves algorithm (Algorithm III). As one-dimensional search schemes, the golden-ratio method and dichotomous search are used. Additionally, their computer programming is developed for actual application. The use of this program is provided with the explanation of how to use it, the illustrative examples that are both quadratic and nonquadratic problems and their output. Finally, from the computer output, each algorithm was analyzed from the standpoint of efficiency for performance.

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미세바늘제작 및 배열을 이용한 반 능동형 가진 약물주입기구 설계 (Semi-active Vibration Drug Delivery Device Design using a Micro-needle Fabrication and Array)

  • 성연욱;박진호;이혜진
    • 융복합기술연구소 논문집
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    • 제1권1호
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    • pp.48-51
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    • 2011
  • Transdermal drug delivery device is a method of drug delivery through the skin. Skin has a very large area, so it is attractive route to drug delivery. When drug delivery through the skin, microneedle has a advantage that painless, constant drug deliver and penetration efficient; nevertheless the cost is expensive because fabrication process need a particular equipment and not suitable in mass production. This study shows microneedle fabrication process using convergence of general MEMS process and dicing process that can make 3-D sharp microneedle tip and this fabrication process suitable for mass production.

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수렴성 빔 전자회절 도형을 이용한 Al-Ti 합금의 상 분석 (Phase Identification of Al-Ti Alloys Using Convergent Beam Electron Diffraction Pattern)

  • 김혜성
    • 한국산업융합학회 논문집
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    • 제4권2호
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    • pp.149-155
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    • 2001
  • The use of primitive cell volume and zero order Laue (ZOLZ) pattern is proposed to identify phase in a complex microstructure. Single convergent beam electron pattern containing higher order Laue zone ring from a nanosized region is sufficient to calculate the primitive cell volume of the phase, while ZOLZ pattern is used to determine the zone axis of the crystal. A computer program is used to screen out possible phases from the value of measured cell volume from convergent beam electron diffraction (CBED) pattern. Indexing of ZOLZ pattern follows in the program to find the zone axis of the identification from a single CBED pattern. An example of the analysis is given from the rapidly solidified $Al-Al_3Ti$ system.

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측정도구의 심리계량적 속성 3: 수렴, 판별, 집합 및 준거타당도 (Psychometric properties of an instrument 3: convergent, discriminant, known-groups, and criterion validity)

  • 이은현
    • 여성건강간호학회지
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    • 제27권3호
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    • pp.176-179
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    • 2021
  • 수렴, 판별 및 집합타당도를 검정하기 위해서는 연구자가 선행연구 결과를 바탕으로 검증하고자 하는 도구와 비교측정도구로 측정한 점수의 상관관계의 정도와 방향에 대한 가설을 세우고 시행해야 한다. 분석결과가 사전에 기획하였던 가설을 만족하였을 때, 그 타당도가 만족하였다고 할 수 있다. 준거타당도는 검정하고자 하는 도구가 측정하는 개념과 같은 개념을 측정하는 표준화된 도구가 있는 경우에 실시한다.

Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

  • Anilay, Worku Tilahun;Duressa, Gemechis File;Woldaregay, Mesfin Mekuria
    • Kyungpook Mathematical Journal
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    • 제61권3호
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    • pp.591-612
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    • 2021
  • In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.