• Title/Summary/Keyword: Mixed Methods

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초등 수학교육 관련 혼합 연구에서 적용된 질적 연구 방법에 대한 분석 (Qualitative Analysis on Mixed Research in the field of Mathematics for Elementary Students)

  • 나장함;김진호
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제19권1호
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    • pp.47-60
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    • 2016
  • 본 연구는 수학교육에서 혼합 연구방법(양적 연구방법과 질적 연구방법을 혼합한)을 활용한 연구에서 질적 연구 방법이 어떻게 적용되고 있는지를 분석하고, 질적 접근의 적용이 연구 목적 성취에 기여할 수 있는 시사점을 탐색하고 논의하고자 한다. 이러한 연구 목적을 달성하기 위하여, 본 연구에서는 한국수학교육학회의 초등수학교육 학회지에 2012년 게재된 전체 16편의 논문 중, 혼합 연구법을 활용한 논문 5편을 분석 대상으로 선정하였다. 비교 항목별 분석 결과를 양화된 수치로 간략하게 제시하던 기존의 혼합 연구물에 대한 분석 연구와는 달리, 본 연구는 질적 연구자의 관점에서, 자료 수집 및 자료 분석 방법, 연구 참여자 및 샘플링 선정 등을 중심으로 심도 있게 분석하여 그 결과와 시사점을 질적으로 제시하고 있다.

제지용 면 펄프의 CMC 전처리 및 혼합 고해특성 연구 (Study on the Beating Properties of CMC Pre-treated and Mixed Cotton Linter Pulp)

  • 신현식;이진호;김덕기;박종문
    • 펄프종이기술
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    • 제46권4호
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    • pp.11-20
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    • 2014
  • The objective of this study was to investigate the beating properties of two types of cotton pulps such as "cotton lint mixed pulp" and "cotton linter pulp". In order to improve refining characteristics, the effects of carboxymethyl-cellulose (CMC) pre-treatment, mixing ratio changes of cotton lint mixed pulp and cotton linter pulp, and refining load changes were analyzed. In mill application, it was possible to improve the refining characteristics and maintained the strength properties of the paper by applying increasing ratio of cotton linter pulp mixing and controlling the refining methods.

Comparing Two Approaches of Analyzing Mixed Finite Volume Methods

  • Chou, So-Hsiang;Tang, Shengrong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제5권1호
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    • pp.55-78
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    • 2001
  • Given the anisotropic Poisson equation $-{\nabla}{\cdot}{\mathcal{K}}{\nabla}p=f$, one can convert it into a system of two first order PDEs: the Darcy law for the flux $u=-{\mathcal{K}{\nabla}p$ and conservation of mass ${\nabla}{\cdot}u=f$. A very natural mixed finite volume method for this system is to seek the pressure in the nonconforming P1 space and the Darcy velocity in the lowest order Raviart-Thomas space. The equations for these variables are obtained by integrating the two first order systems over the triangular volumes. In this paper we show that such a method is really a standard finite element method with local recovery of the flux in disguise. As a consequence, we compare two approaches in analyzing finite volume methods (FVM) and shed light on the proper way of analyzing non co-volume type of FVM. Numerical results for Dirichlet and Neumann problems are included.

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RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS

  • Chen, Yanping;Huang, Yunqing;Hou, Tianliang
    • 대한수학회지
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    • 제49권3호
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    • pp.549-569
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    • 2012
  • In this paper asymptotic error expansions for mixed finite element approximations to a class of second order elliptic optimal control problems are derived under rectangular meshes, and the Richardson extrapolation of two different schemes and interpolation defect correction can be applied to increase the accuracy of the approximations. As a by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a posteriori error estimators of the mixed finite element method for optimal control problems.

$L^{\infty}$-CONVERGENCE OF MIXED FINITE ELEMENT METHOD FOR LAPLACIAN OPERATOR

  • Chen, Huan-Zhen;Jiang, Zi-Wen
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.61-82
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    • 2000
  • In this paper two so-called regularized Green's functions are introduced to derive the optimal maximum norm error estimates for the unknown function and the adjoint vector-valued function for mixed finite element methods of Laplacian operator. One contribution of the paper is a demonstration of how the boundedness of $L^1$-norm estimate for the second Green's function ${\lambda}_2$ and the optimal maximum norm error estimate for the adjoint vector-valued function are proved. These results are seemed to be to be new in the literature of the mixed finite element methods.

관련작업을 고려한 혼합모델 조립라인 밸런싱 (Mixed Model Assembly Line Balancing with the Related Task Consideration)

  • 김여근;곽재승
    • 한국경영과학회지
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    • 제18권2호
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    • pp.1-22
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    • 1993
  • This paper deals with the problem of mixed model assembly line balancing. In mixed model assembly lines, tsks should be assigned to stations in such a manner that all stations have approximately the same amount of work on a production cycle basis. Further in balancing assembly lines, the related tasks, the performing task side and the team tasks should be considered to improve work methods, to give more job satisfaction to workers, and to allow greater flexibility in the design of assembly lines. In this paper, the heuristic dispatch assignment rule is developed to assign evenly tasks of each model to all stations. The heuristic method based on the assignment rule developed is presented for mixed model assembly line balancing with the considerations of the related tasks, the performing task side, and the team tasks. The proposed method is analyzed, and compared with other methods for line balancing.

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A Comparison Study of Multivariate Binary and Continuous Outcomes

  • Pak, Dae-Woo;Cho, Hyung-Jun
    • 응용통계연구
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    • 제25권4호
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    • pp.605-612
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    • 2012
  • Multivariate data are often generated with multiple outcomes in various fields. Multiple outcomes could be mixed as continuous and discrete. Because of their complexity, the data are often dealt with by separately applying regression analysis to each outcome even though they are associated the each other. This univariate approach results in the low efficiency of estimates for parameters. We study the efficiency gains of the multivariate approaches relative to the univariate approach with the mixed data that include continuous and binary outcomes. All approaches yield consistent estimates for parameters with complete data. By jointly estimating parameters using multivariate methods, it is generally possible to obtain more accurate estimates for parameters than by a univariate approach. The association between continuous and binary outcomes creates a gap in efficiency between multivariate and univariate approaches. We provide a guidance to analyze the mixed data.

연속형 및 혼합이산형 최적설계법에 의한 농업용 수로교 교각 및 교대의 최적설계 (Optimum Design of Reinforced Concrete Agricultural Aqueduct Abutment and Pier Using Continuous and Mixed-Discrete Optimization Methods)

  • 김종옥;박찬기;차상선
    • 한국농공학회논문집
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    • 제52권6호
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    • pp.49-56
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    • 2010
  • This study was conducted to find out the best optimum design method for the design of reinforced concrete agricultural aqueduct abutment and pier structures. The mixed-discrete optimization and continuous optimization method were applied to the design of reinforced concrete agricultural aqueduct abutment and pier and the results of these optimization methods were compared each other. It is proved that mixed-discrete optimization method is more reliable, efficient and reasonable than continuous optimization method for the optimum design of the reinforced concrete agricultural aqueduct abutment and pier.

A General Mixed Linear Model with Left-Censored Data

  • Ha, Il-Do
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.969-976
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    • 2008
  • Mixed linear models have been widely used in various correlated data including multivariate survival data. In this paper we extend hierarchical-likelihood(h-likelihood) approach for mixed linear models with right censored data to that for left censored data. We also allow a general random-effect structure and propose the estimation procedure. The proposed method is illustrated using a numerical data set and is also compared with marginal likelihood method.

Improved Algorithm for Case-Deletion Diagnostic in Mixed Linear Models

  • Lee, Jang-Teak
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.677-686
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    • 2000
  • Outliers may occur with respect to any of the random components in mixed linear models. We develop a use of simple, inexpensive updating formulas to consider the effect of case-deletion for mixed linear models. The method described here requires inversions of an n x n matrix, where n is the number of nonempty cells. A numerical example illustrates the use of computational formulas.

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