• Title/Summary/Keyword: one-to-one correspondence

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System Analysis of Disease Classification of Oriental Medicine Diagnosis and Study for Improvement Method (한방진단명의 질병분류체계 분석과 개선방안 연구)

  • Lee, Hyun Ju;Park, Su Bock;Kim, Su Jin;Ko, Seung Yeon
    • Quality Improvement in Health Care
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    • v.12 no.2
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    • pp.84-92
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    • 2006
  • Background : To examine the difference between ICD-10 and The Korean standard classification of disease(oriental medicine), and to aim at improve the practical use as statistical data. It is one of the reason of disease classification. On that account we convert the many to many correspondence presenting classification of oriental medicine into many to one correspondence. Method : The study tracked out 155 patients discharged from the university hospital which is located in Gyeonggi Province and managing hospital and oriental medicine hospital from July to October this year. The period of this study was from August 1 to November 18. We compared correspondence between the two services' diagnosis(hospital services and oriental medicine hospital services) at the same time and attempted many to one correspondence classification. That is for production of statistical data. Result : We investigated the group which have had medical treatment experience of two kinds of services at the same time. The result of this investigation was that the same oriental medicine diagnosis used differently in western medicine diagnosis. 44.5% was accorded with western medicine diagnosis. Correspondence of the western medicine diagnose with the top of the Korean standard classification of disease(oriental medicine) list's western medicine diagnosis was 13.5%. For many to one correspondence classification for statistics, one western medicine diagnosis was selected for one oriental medicine diagnosis. In case of the main diagnosis(I sign) was not enough to explain oriental medicine diagnosis' characteristic, we chose multiple other diagnosis, so other diagnosis(II sign) about patient's cause of disease could be selected for supplement after we examined the patient's records. The statistics was possible with this many to one correspondence. Conclusion : The result of this study about correspondence between western medicine diagnoses and those of oriental medicine confirms that The Korean standard classification of disease(oriental medicine) is hard to be standardized with western medicine diagnosis. Therefore, according to this study, we use new many to one correspondence classification, multiple oriental medicine diagnoses with one ICD-10, which can be used by statistical data.

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A Study on Meaning of One-to-One Correspondence through the Operation of Matrix (행렬의 연산을 통해 본 일대일 대응의 의미에 관한 고찰)

  • Chung, Young-Woo;Kim, Boo-Yoon;Hwang, Jong-Chul;Kim, So-Young
    • School Mathematics
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    • v.13 no.3
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    • pp.405-422
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    • 2011
  • In this study, we consider the meaning of one-to-one correspondence through theoretical background under operation of matrix. On algebraic point of view, its significance is 'through one-to-one correspondence from a set with given structure, become a methods in order to induce an algebraic system in to a new set.' That is a key idea making isomorphic structure. Such process experiences necessity of mathematical fact, as well as the deep understanding of one-to-one correspon -dence. Also that becomes a base for develop a various mathematical concepts, such as matrix, exponential laws, symmetric difference, permutation and so on. This study help teachers and students to understand of mathematical concepts meaningfully and to facilitate teacher's professional development.

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ON IDEALS, FILTERS AND CONGRUENCES IN INCLINES

  • Yao, Wei;Han, Song-Chol
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.591-598
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    • 2009
  • This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

Mathematical Analysis of Ladder Diagram Games for the introduction of the function (함수의 도입을 위한 사다리타기 게임의 수학적 분석)

  • Lee, Gwangyeon;Lee, Kwangsang;Yoo, Gijong
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.267-281
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    • 2013
  • In this paper, we explore the possibility that ladder diagram games can be used for the introduction of the function and composite function. A ladder diagram with at most one rung is a bijection. Thus a ladder diagram with r rungs is the composition of r one-to-one correspondence. In this paper, we use ladder diagrams to give simple proofs of some fundamental facts about one-to-one correspondence. Also, we suggest Story-telling for introduction of function in middle school and high school. The ladder diagram approach to one-to-one correspondence not only grabs our students' attention, but also facilitates their understanding of the concept of functions.

A feature-based motion parameter estimation using bi-directional correspondence scheme (쌍방향 대응기법을 이용한 특징점 기반 움직임 계수 추정)

  • 서종열;김경중;임채욱;박규태
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.11
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    • pp.2776-2788
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    • 1996
  • A new feature-based motion parameter estimation for arbitrary-shaped regions is proposed. Existing motion parameter estimation algorithms such as gradient-based algorithm require iterations that are very sensitive to initial values and which often converge to a local minimum. In this paper, the motion parameters of an object are obtained by solving a set of linear equations derived by the motion of salient feature points of the object. In order to estimate the displacement of the feature points, a new process called the "bi-directional correspondence scheme" is proposed to ensure the robjstness of correspondence. The proposed correspondence scheme iteratively selects the feature points and their corresponding points until unique one-to-one correspondence is established. Furthermore, initially obtained motion paramerters are refined using an iterative method to give a better performance. The proposed algorithm can be used for motion estimationin object-based image coder, and the experimental resuls show that the proposed method outperforms existing schemes schemes in estimating motion parameters of objects in image sequences.sequences.

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On the Representations of Finite Distributive Lattices

  • Siggers, Mark
    • Kyungpook Mathematical Journal
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    • v.60 no.1
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    • pp.1-20
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    • 2020
  • A simple but elegant result of Rival states that every sublattice L of a finite distributive lattice 𝒫 can be constructed from 𝒫 by removing a particular family 𝒥L of its irreducible intervals. Applying this in the case that 𝒫 is a product of a finite set 𝒞 of chains, we get a one-to-one correspondence L ↦ 𝒟𝒫(L) between the sublattices of 𝒫 and the preorders spanned by a canonical sublattice 𝒞 of 𝒫. We then show that L is a tight sublattice of the product of chains 𝒫 if and only if 𝒟𝒫(L) is asymmetric. This yields a one-to-one correspondence between the tight sublattices of 𝒫 and the posets spanned by its poset J(𝒫) of non-zero join-irreducible elements. With this we recover and extend, among other classical results, the correspondence derived from results of Birkhoff and Dilworth, between the tight embeddings of a finite distributive lattice L into products of chains, and the chain decompositions of its poset J(L) of non-zero join-irreducible elements.

Development of Fuzzy Objective Functioin for Establishing the Region Correspondence

  • Soh, Young-sung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.2 no.3
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    • pp.22-28
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    • 1992
  • One of the challenging problems in dynamic scene analysis is the correspondence problem. Points and lines have been two major entities for establishing the correspondence among suxcessive frmes and gave rise to discrete approach to dynamic scene analysis. SOme researchers take continuous approach to analyse the motion. There it is usually assumed that some sort of region correspondence has already been established. In this paper, we propose a method based on fuzzy membership function for solving region correspondence problem.

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An Identification of Outlying Cells in Contingency Table via Correspondence Analysis Map

  • Hong, Chong Sun;Lee, Jong Cheol
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.39-49
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    • 2001
  • When an appropriate model is fitted to explain a certain categorical data, outlying cell detection plays very important role to reduce the lack of fit. There exist many statistical methods to identify outlying cells in contingency table. In this paper, correspondence analysis is applied to identify one or two outlying cells. When corresponding relationships between categories of the row and columns are explored, we find that outlying cells could be identified via the correspondence analysis map.

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Correspondence Matching of Stereo Images by Sampling of Planar Region in the Scene Based on RANSAC (RANSAC에 기초한 화면내 평면 영역 샘플링에 의한 스테레오 화상의 대응 매칭)

  • Jung, Nam-Chae
    • Journal of the Institute of Convergence Signal Processing
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    • v.12 no.4
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    • pp.242-249
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    • 2011
  • In this paper, the correspondence matching method of stereo images was proposed by means of sampling projective transformation matrix in planar region of scene. Though this study is based on RANSAC, it does not use uniform distribution by random sampling in RANSAC, but use multi non-uniform computed from difference in positions of feature point of image or templates matching. The existing matching method sampled that the correspondence is presumed to correct by use of the condition which the correct correspondence is almost satisfying, and applied RANSAC by matching the correspondence into one to one, but by sampling in stages in multi probability distribution computed for image in the proposed method, the correct correspondence of high probability can be sampled among multi correspondence candidates effectively. In the result, we could obtain many correct correspondence and verify effectiveness of the proposed method in the simulation and experiment of real images.

The Exploratory Analysis for Spam Mail Data Using Correspondence Analysis

  • Shin, Yang-Kyu
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.735-744
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    • 2005
  • The number of electronic mail(E-mail) has been increased dramatically as a result of expanding internet and information technology. Although there are many conveniences of E-mail in the bright side, some serious problems occur because of E-mail in its dark side. One of the problems is spam-mail which is unsolicited mail and also called bulk mail. This paper presents a set of patterns of spam-mail occurrences within a week using the correspondence analysis. The correspondence analysis is an exploratory multivariate technique that converts data into a particular type of graphical display in which the rows and columns are depicted as points. One of the meaningful patterns is a great increment of adult and phishing related spam-mails at weekends so any spam-mail filters should be designed to cope with this pattern.

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