• Title/Summary/Keyword: matrix analysis

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Design of Experiment Using Design Matrix in Terms of Generalized Linear Model (일반화 선형모형의 디자인 행렬을 이용한 품질 실험 설계)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2009.04a
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    • pp.423-427
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    • 2009
  • This study proposes the generation mechanism of various design matrix using generalized linear model for design of experiment. Design generation method of GLM analysis, factorial design(FD) with center points, ANOVA design with lack-of-fit test, and response surface design are introduced. In central composite(CC) design, orthogonal blocking and fractional factorial design(FFD) are presented. We compare the design of Box-Benhken(BB) and face-centred central compsite design.

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A study on the analysis method of Petri Net Models Using the Transitive Matrix (추이적 행렬을 이용한 패트리 넷 모델의 분석방법에 대한 연구)

  • 송유진;이종근
    • Journal of the Korea Society for Simulation
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    • v.10 no.1
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    • pp.13-24
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    • 2001
  • We propose a divide-conquer method of Petri nets under the condition of one-boundedness for all the Petri nets. We introduce the P-invariant transitive matrix of Petri nets and relationship between them. The feature of the P-invariant transitive matrix is that each element stands for the transitive relationship between input place and output place through the firing of the enable transition.

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Boundary element analysis of singular thermal stresses in a unidirectional laminate

  • Lee, Sang Soon;Kim, Beom Shig
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.705-713
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    • 1997
  • The residual thermal stresses at the interface corner between the elastic fiber and the viscoelastic matrix of a two-dimensional unidirectional laminate due to cooling from cure temperature down to room temperature were studied. The matrix material was assumed to be thermorheologically simple. The time-domain boundary element method was employed to investigate the nature of stresses on the interface. Numerical results show that very large stress gradients are present at the interface corner and this stress singularity might lead to local yielding or fiber-matrix debonding.

Linear system analysis via wavelet-based pole assignment (웨이블릿 기반 극점 배치 기법에 의한 선형 시스템 해석)

  • Kim, Beom-Soo;Shim, Il-Joo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1434-1439
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    • 2008
  • Numerical methods for solving the state feedback control problem of linear time invariant system are presented in this paper. The methods are based on Haar wavelet approximation. The properties of Haar wavelet are first presented. The operational matrix of integration and its inverse matrix are then utilized to reduce the state feedback control problem to the solution of algebraic matrix equations. The proposed methods reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity and applicability of the proposed methods.

Physical interpretation on eigen-parameters of polarimetric SAR data for microwave scattering from leaf

  • Park, Sang-Eun;Moon, Wooil M.
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.316-318
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    • 2003
  • An eigen-analysis of the coherency matrix provides the polarimetric scattering mechanisms with the matrix characterizing parameters. In this paper, the coherency matrices of deciduous and coniferous vegetation are calculated using the analytical method. The Generalized Rayleigh-Gans approximation is used to model backscattering from distributed coniferous and deciduous leaves. The characteristics of eigen-parameters of simulated coherency matrix for deciduous and coniferous leaves with respect to the leaf shapes and orientations are illustrated.

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Prediction of Strain Responses from Displacement Response Measurements (변위응답의 측정으로부터 변형률응답의 예측)

  • 이건명;신봉인;이한희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.1384-1387
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    • 2001
  • Presented is a method to predict strain responses from displacement measurements on a mechanical structure. The method consists of forming a transformation matrix, which is calculated from displacement and strain modal matrices. The modal matrices can be obtained by either finite element analysis or modal testing. One disadvantage of the method is that it requires displacements on all measuring points be measured simultaneously. The strain prediction method is applied to a simple simulated system.

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ON AUGMENTED LAGRANGIAN METHODS OF MULTIPLIERS AND ALTERNATING DIRECTION METHODS OF MULTIPLIERS FOR MATRIX OPTIMIZATION PROBLEMS

  • Gue Myung, Lee;Jae Hyoung, Lee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.869-879
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    • 2022
  • In this paper, we consider matrix optimization problems. We investigate augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems. Following the proofs of Eckstein [3], and Eckstein and Yao [5], we prove convergence theorems for augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems.

Analysis of Connectivity and Characters between Green Spaces for Introducing Green-Networks (녹지 상호간 연계성 및 기질특성 평가를 통한 녹지 연계망 조성 방안)

  • SaGong, Jung-Hee;Ra, Jung-Hwa
    • Journal of the Korean Institute of Landscape Architecture
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    • v.34 no.4 s.117
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    • pp.18-36
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    • 2006
  • The purpose of this research was to establish a green-networks from the perfective of landscape ecology in order to improve the function of urban green spaces. The study site was Dalsu-Gu in Daegu City. This research consisted of three phases. In the first phase, field surveys were carried out in order to understand existing distribution pattern of green spaces in the study site. 533 green spaces surveyed in the first phase were classified into 7 patterns and 24 types. The total area of the green spaces in Dalsu-gu was 3,329ha. Specifically the area of the 'urban nature parks' type was 57.49% of the total area of green spaces in Dalsu-gu, and it was expected that 'urban nature parks' type can play important roles in the green-networks in Dalsu-gu. Two analysis with green spaces in 9 types including 'urban nature parks', 'rivers' and 'neighborhood parks' were performed to establish a basic network frame of the green-networks. In the second phase, 'mutual connectivity analysis' and 'mutual matrix analysis' were performed to select core green spaces of a green-networks using 'areas of each green space and a distance between each space' and 'a rate of green spaces and a rate of water permeable pavement'. The results of the second phase indicated that, in mutual connectivity analysis, large green spaces apart from each other were evaluated as having higher mutual connectivity than small green spaces near to each other. In mutual matrix analysis, the green spaces with higher mutual connectivity and the small green spaces near to each other were evaluated as having better mutual matrix. In the last phase, we structured a basic frame of the green-networks in Dalsu-Gu. The results suggested that the basic frame of the green-networks in Dalsu-Gu was composed on four green-network axes and its shape mirrored a cruciform(+) of northwest${\longleftrightarrow}$southeast directions and southwest${\longleftrightarrow}$northeast directions, The Duryu neighborhood park is at the central point of this green-networks.

An Efficient Structural Analysis of Multistory Buildings (고층건물의 효율적인 구조해석)

  • Kim, Kyeong Ho;Lee, Dong Guen
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.141-153
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    • 1987
  • The prediction of the exact behavior of multistory building is one of the most complicated problem encountered in structural engineering practice. An efficient computer method for the three dimensional analysis of building structures is presented in this paper. A multistory building is idealized as an assemblage of a series of rectangular plane frames interconnected by rigid floor diaphragms. The matrix condensation technique is employed for the reduction of degrees of freedom, which results in a significant saving in computational efforts and the required memory size. Kinematical approach was used to assemble condensed stiffness matrices of plane frames into a three dimensional stick model stiffness matrix. The static analysis follows the modified tridiagonal approach. Since this procedure utilizes the condensed stiffness matrix of the structure, the dynamic equations of motion for the story displacement are developed by assigning proper mass for each story. Analysis results of several example structures are compared to those obtained by using the well-known SAP IV for verification of the accuracy and efficiency of the computer program PFS which was developed utilizing the method proposed in this study. The analysis method proposed in this study can be used as an efficient and economical means for the analysis of multistory buildings.

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In vivo wear determination of novel CAD/CAM ceramic crowns by using 3D alignment

  • Aladag, Akin;Oguz, Didem;Comlekoglu, Muharrem Erhan;Akan, Ender
    • The Journal of Advanced Prosthodontics
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    • v.11 no.2
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    • pp.120-127
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    • 2019
  • PURPOSE. To determine wear amount of single molar crowns, made from four different restoratives, and opposing natural teeth through computerized fabrication techniques using 3D image alignment. MATERIALS AND METHODS. A total of 24 single crowns (N = 24 patients, age range: 18 - 50) were made from lithium disilicate (IPS E-max CAD), lithium silicate and zirconia based (Vita Suprinity CAD), resin matrix ceramic material (Cerasmart, GC), and dual matrix (Vita Enamic CAD) blocks. After digital impressions (Cerec 3D Bluecam, DentsplySirona), the crowns were designed and manufactured (Cerec 3, DentsplySirona). A dualcuring resin cement was used for cementation (Variolink Esthetic DC, Ivoclar). Then, measurement and recording of crowns and the opposing enamel surfaces with the intraoral scanner were made as well as at the third and sixth month follow-ups. All measurements were superimposed with a software (David-Laserscanner, V3.10.4). Volume loss due to wear was calculated from baseline to follow-up periods with Siemens Unigraphics NX 10 software. Statistical analysis was accomplished by Repeated Measures for ANOVA (SPSS 21) at = .05 significance level. RESULTS. After 6 months, insignificant differences of the glass matrix and resin matrix materials for restoration/enamel wear were observed (P>.05). While there were no significant differences between the glass matrix groups (P>.05), significant differences between the resin matrix group materials (P<.05) were obtained. Although Cerasmart and Enamic were both resin matrix based, they exhibited different wear characteristics. CONCLUSION. Glass matrix materials showed less wear both on their own and opposing enamel surfaces than resin matrix ceramic materials.