• Title/Summary/Keyword: Matrix Classes

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THE STRONG STABILITY OF ALGORITHMS FOR SOLVING THE SYMMETRIC EIGENPROBLEM

  • Smoktunowicz, Alicja
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.1
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    • pp.25-31
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    • 2003
  • The concepts of stability of algorithms for solving the symmetric and generalized symmetric-definite eigenproblems are discussed. An algorithm for solving the symmetric eigenproblem $Ax={\lambda}x$ is stable if the computed solution z is the exact solution of some slightly perturbed system $(A+E)z={\lambda}z$. We use both normwise approach and componentwise way of measuring the size of the perturbations in data. If E preserves symmetry we say that an algorithm is strongly stable (in a normwise or componentwise sense, respectively). The relations between the stability and strong stability are investigated for some classes of matrices.

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Object-Oriented Free Vibration Analysis of Plane Flamed Structures (평면 뼈대 구조물의 객체지향 자유진동해석)

  • 신영식;최희옥;서진극
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.61-68
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    • 1993
  • A computer program for free vibration analysis of plane framed structures has been developed by object oriented programming technique using C" language. The object oriented programming concepts such as object, class, method and inheritance are represented. The static and free vibration analyses for framed structures were satisfactorily performed by this program which consists of TOP, VECTOR, MATRIX, STRU, GUI and other classes. Numerical test shows the validity and capability of the present study which can be expandable to develop a general purpose object oriented finite element analysis program of structures ,res ,

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Efficient Multiplication of Boolean Matrices and Algorithm for D-Class Computation (D-클래스 계산을 위한 불리언 행렬의 효율적 곱셈 및 알고리즘)

  • Han, Jae-Il;Shin, Bum-Joo
    • Journal of Korea Society of Industrial Information Systems
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    • v.12 no.2
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    • pp.68-78
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    • 2007
  • D-class is defined as a set of equivalent $n{\times}n$ boolean matrices according to a given equivalence relation. The D-class computation requires the multiplication of three boolean matrices for each of all possible triples of $n{\times}n$ boolean matrices. However, almost all the researches on boolean matrices focused on the efficient multiplication of only two boolean matrices and a few researches have recently been shown to deal with the multiplication of all boolean matrices. The paper suggests a mathematical theory that enables the efficient multiplication for all possible boolean matrix triples and the efficient computation of all D-classes, and discusses algorithms designed with the theory and their execution results.

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A Proteomic Screen for Presynaptic Terminal N-type Calcium Channel (CaV2.2) Binding Partners

  • Khanna, Rajesh;Zougman, Alexandre;Stanley, Elise F.
    • BMB Reports
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    • v.40 no.3
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    • pp.302-314
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    • 2007
  • N type calcium channels (CaV2.2) play a key role in the gating of transmitter release at presynaptic nerve terminals. These channels are generally regarded as parts of a multimolecular complex that can modulate their open probability and ensure their location near the vesicle docking and fusion sites. However, the proteins that comprise this component remain poorly characterized. We have carried out the first open screen of presynaptic CaV2.2 complex members by an antibody-mediated capture of the channel from purified rat brain synaptosome lysate followed by mass spectroscopy. 589 unique peptides resulted in a high confidence match of 104 total proteins and 40 synaptosome proteome proteins. This screen identified several known CaV2.2 interacting proteins including syntaxin 1, VAMP, protein phosphatase 2A, $G_{o\alpha}$, G$\beta$ and spectrin and also a number of novel proteins, including clathrin, adaptin, dynamin, dynein, NSF and actin. The unexpected proteins were classified within a number of functional classes that include exocytosis, endocytosis, cytoplasmic matrix, modulators, chaperones, and cell-signaling molecules and this list was contrasted to previous reports that catalogue the synaptosome proteome. The failure to detect any postsynaptic density proteins suggests that the channel itself does not exhibit stable trans-synaptic attachments. Our results suggest that the channel is anchored to a cytoplasmic matrix related to the previously described particle web.

Land Cover Classification of High-Spatial Resolution Imagery using Fixed-Wing UAV (고정익 UAV를 이용한 고해상도 영상의 토지피복분류)

  • Yang, Sung-Ryong;Lee, Hak-Sool
    • Journal of the Society of Disaster Information
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    • v.14 no.4
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    • pp.501-509
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    • 2018
  • Purpose: UAV-based photo measurements are being researched using UAVs in the space information field as they are not only cost-effective compared to conventional aerial imaging but also easy to obtain high-resolution data on desired time and location. In this study, the UAV-based high-resolution images were used to perform the land cover classification. Method: RGB cameras were used to obtain high-resolution images, and in addition, multi-distribution cameras were used to photograph the same regions in order to accurately classify the feeding areas. Finally, Land cover classification was carried out for a total of seven classes using created ortho image by RGB and multispectral camera, DSM(Digital Surface Model), NDVI(Normalized Difference Vegetation Index), GLCM(Gray-Level Co-occurrence Matrix) using RF (Random Forest), a representative supervisory classification system. Results: To assess the accuracy of the classification, an accuracy assessment based on the error matrix was conducted, and the accuracy assessment results were verified that the proposed method could effectively classify classes in the region by comparing with the supervisory results using RGB images only. Conclusion: In case of adding orthoimage, multispectral image, NDVI and GLCM proposed in this study, accuracy was higher than that of conventional orthoimage. Future research will attempt to improve classification accuracy through the development of additional input data.

An Object Oriented C++ Program for Free Vibration Analysis of Framed Structures (뼈대구조물(構造物)의 자유진동해석(自由振動解析)을 위한 객체지향(客體指向) c++ 프로그램)

  • Shin, Young Shik;Suh, Jin Kook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.119-129
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    • 1994
  • This paper describes a $C^{{+}{+}}$ free vibration analysis program of structures for personal computer. This program was developed by object oriented programming method which is the latest trend in programming practice. The object-oriented programming method which has the superior reuseability and expansibility to procedural programming provides various choice of menus and easy modification of the program, and reduces the development time and size of the program. This object-oriented free vibration analysis program written in $C^{{+}{+}}$ language consists of Vector and Matrix classes, Structural Analysis and GUI classes. The efficiency and validity of the program were examined by solving several numerical examples. The static and free vibration analyses of the framed structures were satisfactorily performed by this program on a personal computer.

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Recognition of damage pattern and evolution in CFRP cable with a novel bonding anchorage by acoustic emission

  • Wu, Jingyu;Lan, Chengming;Xian, Guijun;Li, Hui
    • Smart Structures and Systems
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    • v.21 no.4
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    • pp.421-433
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    • 2018
  • Carbon fiber reinforced polymer (CFRP) cable has good mechanical properties and corrosion resistance. However, the anchorage of CFRP cable is a big issue due to the anisotropic property of CFRP material. In this article, a high-efficient bonding anchorage with novel configuration is developed for CFRP cables. The acoustic emission (AE) technique is employed to evaluate the performance of anchorage in the fatigue test and post-fatigue ultimate bearing capacity test. The obtained AE signals are analyzed by using a combination of unsupervised K-means clustering and supervised K-nearest neighbor classification (K-NN) for quantifying the performance of the anchorage and damage evolutions. An AE feature vector (including both frequency and energy characteristics of AE signal) for clustering analysis is proposed and the under-sampling approaches are employed to regress the influence of the imbalanced classes distribution in AE dataset for improving clustering quality. The results indicate that four classes exist in AE dataset, which correspond to the shear deformation of potting compound, matrix cracking, fiber-matrix debonding and fiber fracture in CFRP bars. The AE intensity released by the deformation of potting compound is very slight during the whole loading process and no obvious premature damage observed in CFRP bars aroused by anchorage effect at relative low stress level, indicating the anchorage configuration in this study is reliable.

On the Composition of Evaluation Questions Corresponding to Each Level in Matrix Chapter of the High School (행렬의 수준별 평가에 대한 연구)

  • Lee, Min-Jung;Lee, Yang
    • Journal of the Korean School Mathematics Society
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    • v.13 no.3
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    • pp.357-379
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    • 2010
  • There are many studies about the method of trying leveled class because we say the Excellence of Education after high school's Equalization Policy. After the leveled c1ass, Ministry of Education, Science and Tech. announced the induction of leveled classes' evaluation in 2008, it is called that students take classes adapted to their levels. This study illustrates criteria of forming evaluation, it composes leveled assessment tests referenced by Gibb's evaluation effects & Cotton's evaluation principles. Before anything else, this study induced contents of studies which is emphasized the structure rather than the arithmetic that is based on Foucault' s analysis of mathematics' class and examination & MacGregor's point of algebra. Since then we made leveled assessment tests which made by students' Question. And then, In this study, we modified evaluation tests appropriately by criteria of evaluation and analysing the result.

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Analysis of land use change for advancing national greenhouse gas inventory using land cover map: focus on Sejong City

  • Park, Seong-Jin;Lee, Chul-Woo;Kim, Seong-Heon;Oh, Taek-Keun
    • Korean Journal of Agricultural Science
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    • v.47 no.4
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    • pp.933-940
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    • 2020
  • Land-use change matrix data is important for calculating the LULUCF (land use, land use change and forestry) sector of the national greenhouse gas inventory. In this study, land cover changes in 2004 and 2019 were compared using the Wall-to-Wall technique with a land cover map of Sejong City from the Ministry of Environment. Sejong City was classified into six land use classes according to the Intergovernmental Panel on Climate Change (IPCC) guidelines: Forest land, crop land, grassland, wetland, settlement and other land. The coordinate system of the land cover maps of 2004 and 2019 were harmonized and the land use was reclassified. The results indicate that during the 15 years from 2004 to 2019 forestlands and croplands decreased from 50.4% (234.2 ㎢) and 34.6% (161.0 ㎢) to 43.4% (201.7 ㎢) and 20.7% (96.2 ㎢), respectively, while Settlement and Other land area increased significantly from 8.9% (41.1 ㎢) and 1.4% (6.9 ㎢) to 35.6% (119.0 ㎢) and 6.5% (30.3 ㎢). 79.㎢ of cropland area (96.2 ㎢) in 2019 was maintained as cropland, and 8.8 ㎢, 1.7 ㎢, 0.5 ㎢, 5.4 ㎢, and 0.4 ㎢ were converted from forestland, grassland, wetland, and settlement, respectively. This research, however, is subject to several limitations. The uncertainty of the land use change matrix when using the wall-to-wall technique depends on the accuracy of the utilized land cover map. Also, the land cover maps have different resolutions and different classification criteria for each production period. Despite these limitations, creating a land use change matrix using the Wall-to-Wall technique with a Land cover map has great advantages of saving time and money.

Ambulatory Aid Device for the Visually Handicapped Person Using Image Recognition (화상인식을 이용한 시각장애인용 보행보조장치)

  • Park Sang-Jun;Shin Dong-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.6
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    • pp.568-572
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    • 2006
  • This paper presents the device of recognizing image of the studded paving blocks, transmitting, the information by vibration to a visually handicapped person. Usually the blind uses the walking stick to recognize the studded paving block. This research uses a PCA (Principal Component Analysis) based image processing approach for recognizing the paving blocks. We classify the studded paving blocks into 5 classes, that is, vertical line block, right-declined line block, left-declined line block, dotted block and flat block. The 8 images for each of 5 classes are captured for each block by 112*120 pixels, then the eigenvectors are obtained in magnitude order of eigenvectors by using principal component analysis. The principal components for images can be calculated using projection of transformation matrix composed of eigenvectors. The classification has been executed using Euclidean's distance, so the block having minimum distance with a image is chosen as matched one. The result of classification is transmitted to the blind by electric vibration signals with different magnitudes and frequencies.