• Title/Summary/Keyword: S-principal

Search Result 2,199, Processing Time 0.027 seconds

UNITARY SERIES OF $GL_2(R)$ AND $GL_2(C)$

  • Kim, Seon-Ja
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.3
    • /
    • pp.521-529
    • /
    • 1994
  • This paper studies the realization of irreducible unitary representations of $GL_2(R)$ and $GL_2(C)$ by Bargmann's classification[1]. Since the representations of general matrix groups can be obtained by the extensions of characters of a special linear group, we shall follow to a large extent the pattern of the results in [5], [6], and [8]. This article is divided into two sections. In the first section we describe the realization of principal series and discrete series and complementary series of $GL_2(R)$. The last section is devoted to the derivation of principal series and complementary series of $GL_2(C).

  • PDF

A study on the efficient sample design and the error in the statistical survey (統計調査에 있어서 效率的標本設計와 誤差에 관한 硏究)

  • 김종호;남궁평;박홍래;이계오;이상우;함종욱
    • The Korean Journal of Applied Statistics
    • /
    • v.3 no.1
    • /
    • pp.27-46
    • /
    • 1990
  • In this paper, wer propose many problems by analyzing the various currently statistics, propose the basic principal for the more precise performance of sample survey, and at the same time propose the method(principal) for detecting and manipulationg the source of error. Finally, we are to improving the statistical reliability and increasing the user's convenience by standardizing the statistical reporting form.

  • PDF

Resistant h-Plot for a Sample Variance-Covariance Matrix

  • Park, Yong-Seok
    • Journal of the Korean Statistical Society
    • /
    • v.24 no.2
    • /
    • pp.407-417
    • /
    • 1995
  • The h-plot is a graphical technique for displaying the structure of one population's variance-covariance matrix. This follows the mathematical algorithem of the principle component biplot based on the singular value decomposition. But it is known that the singular value decomposition is not resistant, i.e., it is very sensitive to small changes in the input data. In this article, since the mathematical algorithm of the h-plot is equivalent to that of principal component biplot of Choi and Huh (1994), we derive the resistant h-plot.

  • PDF

A Channel Equalization Algorithm Using Neural Network Based Data Least Squares (뉴럴네트웍에 기반한 Data Least Squares를 사용한 채널 등화기 알고리즘)

  • Lim, Jun-Seok;Pyeon, Yong-Kuk
    • The Journal of the Acoustical Society of Korea
    • /
    • v.26 no.2E
    • /
    • pp.63-68
    • /
    • 2007
  • Using the neural network model for oriented principal component analysis (OPCA), we propose a solution to the data least squares (DLS) problem, in which the error is assumed to lie in the data matrix only. In this paper, we applied this neural network model to channel equalization. Simulations show that the neural network based DLS outperforms ordinary least squares in channel equalization problems.

Classification of International Container Ports by Using Principal Component Analysis and Cluster Analysis (주성분분석 및 군집분석을 이용한 컨테이너항만의 분류)

  • 문성혁;이준구
    • Journal of Korean Port Research
    • /
    • v.13 no.1
    • /
    • pp.11-26
    • /
    • 1999
  • The subject of port efficiency is one of the important issues facing port authorities and policy makers today. A number of studies have been undertaken which compare ports in terms of their efficiency. But any port comparison can only be valid and meaningful if a port’s efficiency is compared with a similar port. The main objective of this paper is to introduce a systematic approach to identifying similar ports based on the technique of principal component analysis and cluster analysis. And it seeks to identify the most important factors underlying the port classification. Lack of awareness of which factors differentiate ports has resulted in an unnecessary collection of data which are of limited use in port classification. This paper has identified five groupings of similar ports within which port comparision can be justifiably made. This approach can be used for any future port comparision.

  • PDF

Distortion and Dilatatioin in the Tensie Failure of Paper

  • Park, Jong-Moon;James L. Thorpe
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.31 no.5
    • /
    • pp.73-85
    • /
    • 1999
  • Yield and fracture are separated in the tensile failure of paper. Failure in the machine direction of photocopy paper is contrasted with failure in the cross-machine direction . The ratios of distortion (shape change) to dilatation (volume change) for individual elements at yield and fracture are described. The ratios of distortion to dilatation are measured and compared to predicted values of the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density factor, samples are prepared from machine direction to cross-machine direction in 15 degree intervals. the strain energy density of individual elements are obtained by the integration of stress from finite element analysis with elastic plus plastic strain energy density theory. Poison's ratio and the angle from the principal material direction have a great effect ion the ratio fo distortion to dilatation in paper. During the yield condition, distortion prevails over dilatation . At fracture, dilatation is at a maximum.

  • PDF

Buyer-Supplier Collaboration and Benefit-Sharing Strategy in a Supply Chain (공급망 상생협력 활동과 성과 공유 전략)

  • Yoo, Seung-Ho
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.36 no.1
    • /
    • pp.69-84
    • /
    • 2011
  • In this study, based on the principal-agent paradigm, we investigate a joint cost reduction activity in a buyer-supplier supply chain where a buyer motivates its operations department and a supplier to reduce the supply chain's production cost. We construct a benefit-sharing model based on the target cost scheme, a basic philosophy in practice which has not been explored in previous studies. The model also incorporates various supply chain issues such as the cooperation of multiple agents, the opportunity loss, and the degree of strategic relationship between the buyer and the supplier. Based on the analysis of the principal-agent model, we investigate the benefit-sharing rule to control agents' actions, and we also provide important managerial implications into supply chain practices via extensive comparative static analyses.

LMS and LTS-type Alternatives to Classical Principal Component Analysis

  • Huh, Myung-Hoe;Lee, Yong-Goo
    • Communications for Statistical Applications and Methods
    • /
    • v.13 no.2
    • /
    • pp.233-241
    • /
    • 2006
  • Classical principal component analysis (PCA) can be formulated as finding the linear subspace that best accommodates multidimensional data points in the sense that the sum of squared residual distances is minimized. As alternatives to such LS (least squares) fitting approach, we produce LMS (least median of squares) and LTS (least trimmed squares)-type PCA by minimizing the median of squared residual distances and the trimmed sum of squares, in a similar fashion to Rousseeuw (1984)'s alternative approaches to LS linear regression. Proposed methods adopt the data-driven optimization algorithm of Croux and Ruiz-Gazen (1996, 2005) that is conceptually simple and computationally practical. Numerical examples are given.

Compression of LSP Coefficents Using Principal Component Analysis (Principal component analysis를 이용한 LSP 계수의 압축기법)

  • Ahn Haeyong;Lee Chulhee
    • Proceedings of the Acoustical Society of Korea Conference
    • /
    • autumn
    • /
    • pp.85-88
    • /
    • 2001
  • Line spectrum pair(LSP) 계수는 양자화 오류에 강하고. 선형 릴간에 효율적이며, 필터의 안정성 판정이 용이하므로 LPC를 대신하여 음성 부호화에 널리 사용되고 있다. 일반적으로 LSP 계수간에는 일정한 상관관계가 나타나고, 이 특성을 이용하면 LSP 계수의 부호량을 줄일 수 있는 가능성이 있나. 본 논문에서는 LSP 계수를 압축하기 위해 principal component analysis(PCA)를 사용한 방법을 제안한다. 제안된 방법에서는 LSP 계수를 Karhunen-Loeve(KL) 변환해 에너지가 집중되는 고유치(eigenvalue)와 고유벡터(eigenvector)를 찾고 값을 양자화 한다. 성능 평가를 위해 2.4kbps MELP(mixed excitation linear prediction)와 8kbps QCELP(qualcumn code excited linear prediction) 음성 부호화기를 사용해 결과 값을 비교했고, 압축률이 증가하는 것을 확인했다.

  • PDF

Three-Dimensional Behavior of Granular Soil (압상토의 3차원 거동)

  • 정진섭
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.37 no.2
    • /
    • pp.64-72
    • /
    • 1995
  • A series of cubical triaxial tests with three independent principal stresses was per- formed on Baekma river sand( # 40~100). It was found that the major principal strain at failure remained approximately constant for b values larger than about 0.3 for both the drained and undrained condition, and thereafter increased as b value decreased. The test results showed that the direction of the strain increment at failure form acute angles with the failure surfaces for both the drained and undrained condition. The results were thus not in agreement with the normality condition from classic plasticity theory. Howev- er, it was found that the projections of the plastic strain increment vectors on the octahe- dral plane were perpendicular to the failure surface in that plane. Failure strength in terms of effective stress anlaysis was greatly influenced by the variation of intermediate principal stress and so was failure criterion. The effective stress failure surfaces for both the drained and undrained condition were estimated quite well by use of Lade's failure criterion.

  • PDF