• Title/Summary/Keyword: Basis Set

Search Result 1,686, Processing Time 0.028 seconds

GROBNER-SHIRSHOV BASES FOR REPRESENTATION THEORY

  • Kang, Seok-Jin;Lee, Kyu-Hwan
    • Journal of the Korean Mathematical Society
    • /
    • v.37 no.1
    • /
    • pp.55-72
    • /
    • 2000
  • In this paper, we develop the Grobner-Shirshov basis theory for the representations of associative algebras by introducing the notion of Grobner-Shirshov pairs. Our result can be applied to solve the reduction problem in representation theory and to construct monomial bases of representations of associative algebras. As an illustration, we give an explicit construction of Grobner-Shirshov pairs and monomial bases for finite dimensional irreducible representations of the simple tie algebra sl$_3$. Each of these monomial bases is in 1-1 correspondence with the set of semistandard Young tableaux with a given shape.

  • PDF

A Study on the Standardization of Anthropometric Terms (I) -Terms of measurement points and lines- (인체 측정용어의 표준화에 관한 연구(I) -측정기준에 관한 용어-)

  • 박수찬
    • Journal of the Korean Home Economics Association
    • /
    • v.27 no.2
    • /
    • pp.43-52
    • /
    • 1989
  • This study deals with the standardization of anthropometric terms related to body measurement points and lines that are to be the basis in body measurement. It investigates the state-of-the art of anthropometric terms used among middle and high schools, universities, dressmaking schools, and experts and set up the directions of standardization. According to the directions, 39 body measurement points and 9 body measurement lines were studied and a draft standards on anthropometric terms was suggested.

  • PDF

An Improved K-means Document Clustering using Concept Vectors

  • Shin, Yang-Kyu
    • Journal of the Korean Data and Information Science Society
    • /
    • v.14 no.4
    • /
    • pp.853-861
    • /
    • 2003
  • An improved K-means document clustering method has been presented, where a concept vector is manipulated for each cluster on the basis of cosine similarity of text documents. The concept vectors are unit vectors that have been normalized on the n-dimensional sphere. Because the standard K-means method is sensitive to initial starting condition, our improvement focused on starting condition for estimating the modes of a distribution. The improved K-means clustering algorithm has been applied to a set of text documents, called Classic3, to test and prove efficiency and correctness of clustering result, and showed 7% improvements in its worst case.

  • PDF

SLOW VISCOUS FLOW PAST A CAVITY WITH INFINITE DEPTH

  • Kim, D.W;Kim, S.B;Chu, J.H
    • Journal of applied mathematics & informatics
    • /
    • v.7 no.3
    • /
    • pp.801-812
    • /
    • 2000
  • Two-dimensional slow viscous flow on infinite half-plane past a perpendicular infinite cavity is considered on the basis of the Stokes approximation. Using complex representation of the two-dimensional Stokes flow, the problem is reduced to solving a set of Fredholm integral equations of the second kind. The streamlines and the pressure and vorticity distribution on the wall are numerically determined.

YOUNG TABLEAUX, CANONICAL BASES, AND THE GINDIKIN-KARPELEVICH FORMULA

  • Lee, Kyu-Hwan;Salisbury, Ben
    • Journal of the Korean Mathematical Society
    • /
    • v.51 no.2
    • /
    • pp.289-309
    • /
    • 2014
  • A combinatorial description of the crystal $\mathcal{B}({\infty})$ for finite-dimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases indexed by Lusztig's parametrization, and obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over the set of Young tableaux.

Tests of Land Boundary Using Orthoimages (정사영상을 이용한 토지경계설정 실험)

  • Lee, Young-Jin;Ryu, Su-Hyun;Kim, Ho-Young;Park, Jung-Hwan
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
    • /
    • 2010.04a
    • /
    • pp.289-290
    • /
    • 2010
  • Orthoimage, digital map, cadastral map, and areas and district were converted and overlaid so as to apply legal restrictions on boundaries set by a land object concept restriction line and to analyze boundaries formed by overlaying areas and districts and characteristics of restrictions. With the restriction lines made on the basis of orthoimage.

  • PDF

Eye Detection using Edge Information and SVM (에지 정보와 SVM의 결합을 통한 눈 검출)

  • 지형근;이경희;정용화
    • Proceedings of the IEEK Conference
    • /
    • 2002.06d
    • /
    • pp.347-350
    • /
    • 2002
  • This paper describes eye detection algorithm using edge information and Support Vector Machine (SVM). We adopt an edge detection and labelling algorithm to detect isolated components. Detected candidate eye pairs finally verified by SVM using Radial Basis Function (RBF) kernel. A detection rate over the test set has been achieved more than 90%, and compared with template matching method. this proposed method significantly reduced FAR.

  • PDF

An Exploratory Study of Applying Case-Based Reasoning to Business Applications

  • Hwang, Hajin
    • The Journal of Information Systems
    • /
    • v.4
    • /
    • pp.181-209
    • /
    • 1995
  • As the effective use of information has gained greater attention over the decade, various conventional AI techniques have been applied to develop expert systems for business applications. Case-based reasoning (CBR) makes data more accessible by organizing it as a set of examples from past experience that can be generalized and applied to current problems. This paper illustrates basic concepts of CBR and addresses the system discussed in this paper can provide a basis for building more flexible and adaptable expert systems for business applications.

  • PDF

Interference loads of two cylinders in a side-by-side arrangement

  • Blazik-Borowa, Ewa
    • Wind and Structures
    • /
    • v.9 no.1
    • /
    • pp.75-93
    • /
    • 2006
  • This paper presents a quasi-steady model of vibrations of two cylinders in a side-by-side arrangement. The cylinders have flexible support and equal diameters. The model assumes that both cylinders participate in the process of vibration, each of them having two degrees of freedom. The movement of cylinders is described by a set of four non-linear differential equations. These equations are evaluated on the basis of a numerical simulation and experimental data. Moreover many features of cylinder vibrations are found from numerical results and are described in this paper.

A Study on Body Measurement for Slacks Construction (Mainly with women's College Student in Seoul City Area) (Slacks 구성을 위한 인체계측 -서울특별시의 여대생을 중심으로-)

  • 김경자
    • Journal of the Korean Home Economics Association
    • /
    • v.17 no.2
    • /
    • pp.1-8
    • /
    • 1979
  • Recently, the Korean women has been steadily growing in number of wearing slacks , therefore the measurement data on lower part of body for slacks pattern construction have become needed. Thus, in order to obtain the measurement data, 304 of sophomore and junior classes form universities and colleges in Seoul city area were selected on purposed and , set to the object of study. In the course of measurement , thirteen items on lower part of body which is the basis of slacks pattern construction were measured, and then average balue, standard deviation and the mutual correlation were obtained.

  • PDF