• Title/Summary/Keyword: divided domain

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LOCALLY DIVIDED DOMAINS OF THE FORM $D[X]_N_v$

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • 제18권1호
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    • pp.37-43
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    • 2010
  • Let D be an integral domain, X be an indeterminate over D, and $N_v=\{f{\in}D[X]{\mid}(A_f)_v=D\}$. In this paper, we introduce the concept of t-locally divided domains, and we then prove that $D[X]_{N_v}$ is a locally divided domain if and only if D is a t-locally divided UMT-domain, if and only if D[X] is a t-locally divided domain.

ON 𝜙-SCHREIER RINGS

  • Darani, Ahmad Yousefian;Rahmatinia, Mahdi
    • 대한수학회지
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    • 제53권5호
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    • pp.1057-1075
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    • 2016
  • Let R be a ring in which Nil(R) is a divided prime ideal of R. Then, for a suitable property X of integral domains, we can define a ${\phi}$-X-ring if R/Nil(R) is an X-domain. This device was introduced by Badawi [8] to study rings with zero divisors with a homomorphic image a particular type of domain. We use it to introduce and study a number of concepts such as ${\phi}$-Schreier rings, ${\phi}$-quasi-Schreier rings, ${\phi}$-almost-rings, ${\phi}$-almost-quasi-Schreier rings, ${\phi}$-GCD rings, ${\phi}$-generalized GCD rings and ${\phi}$-almost GCD rings as rings R with Nil(R) a divided prime ideal of R such that R/Nil(R) is a Schreier domain, quasi-Schreier domain, almost domain, almost-quasi-Schreier domain, GCD domain, generalized GCD domain and almost GCD domain, respectively. We study some generalizations of these concepts, in light of generalizations of these concepts in the domain case, as well. Here a domain D is pre-Schreier if for all $x,y,z{\in}D{\backslash}0$, x | yz in D implies that x = rs where r | y and s | z. An integrally closed pre-Schreier domain was initially called a Schreier domain by Cohn in [15] where it was shown that a GCD domain is a Schreier domain.

Normal Pairs of Going-down Rings

  • Dobbs, David Earl;Shapiro, Jay Allen
    • Kyungpook Mathematical Journal
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    • 제51권1호
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    • pp.1-10
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    • 2011
  • Let (R, T) be a normal pair of commutative rings (i.e., R ${\subseteq}$ T is a unita extension of commutative rings, not necessarily integral domains, such that S is integrally closed in T for each ring S such that R ${\subseteq}$ S ${\subseteq}$ T) such that the total quotient ring of R is a von Neumann regular ring. Let P be one of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally divided ring. Then R has P if and only if T has P. An example shows that the "if" part of the assertion fails if P is taken to be the "divided domain" property.

반복적 영역분할법을 이용한 대용량의 점데이터로부터의 형상 재구성 (Shape Reconstruction from Large Amount of Point Data using Repetitive Domain Decomposition Method)

  • 유동진
    • 한국정밀공학회지
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    • 제23권11호
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    • pp.93-102
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    • 2006
  • In this study an advanced domain decomposition method is suggested in order to construct surface models from very large amount of points. In this method the spatial domain of interest that is occupied by the input set of points is divided in repetitive manner. First, the space is divided into smaller domains where the problem can be solved independently. Then each subdomain is again divided into much smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together to obtain a solution of each subdomain using partition of unity function. Then the solutions of subdomains are merged together in order to construct whole surface model. The suggested methods are conceptually very simple and easy to implement. Since RDDM(Repetitive Domain Decomposition Method) is effective in the computation time and memory consumption, the present study is capable of providing a fast and accurate reconstructions of complex shapes from large amount of point data containing millions of points. The effectiveness and validity of the suggested methods are demonstrated by performing numerical experiments for the various types of point data.

심박변이에 대한 평가방법 (Assessing Methods of Heart Rate Variability)

  • 박기종;정희정
    • Annals of Clinical Neurophysiology
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    • 제16권2호
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    • pp.49-54
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    • 2014
  • Heart rate variability is significantly associated with cardiovascular complications in various neurological disorders with cardiac impairment. Measures of spontaneous heart rate variability might be different from provocating tests of heart rate variability such as deep breathing and Valsava maneuver. Methods for analysis are divided into time domain methods and frequency domain methods. There are standard deviation of NN interval, standard deviation of average NN interval, root mean square of the successive differences, NN50, and pNN50 in time domain methods. Frequency domain bands can be divided into very low, low, and high frequency. Each variables are influenced by sympathetic and/or parasympathetic activity.

심근허혈검출을 위한 심박변이도의 시간과 주파수 영역에서의 특징 비교 (Comparison of HRV Time and Frequency Domain Features for Myocardial Ischemia Detection)

  • 전설위;장진흥;이상홍;임준식
    • 한국콘텐츠학회논문지
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    • 제11권3호
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    • pp.271-280
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    • 2011
  • 심박 변이도 (HRV) 분석은 심근허혈 (MI)를 평가하기 위한 편리한 도구이다. HRV에 대한 분석법은 시간 영역과 주파수 영역 분석으로 나눠질 수 있다. 본 논문은 단기간의 HRV 분석에 있어서 웨이블릿 변환을 주파수 영역 분석과 시간 영역 분석 비교하기 위하여 사용하였다. ST-T와 정상 에피소드는 각각 European ST-T 데이터베이스와 MIT-BIH Normal Sinus Rhythm 데이터베이스에서 각각 수집되었다. 한 에피소드는 32개 연속하는 RR 간격으로 나눠질 수 있다. 18개 HRV 특징은 시간과 주파수 영역 분석을 통하여 추출된다. 가종 퍼지소속함수 신경망 (NEWFM)은 추출된 18개의 특징을 이용하여 심근허혈을 진단하였다. 결과는 보여주는 평균 정확도로부터 시간영역과 주파수영역의 특징은 각각 75.29%와 80.93%이다.

경계요소법을 이용한 축대칭 결함을 갖는 도체관에 대한 와전류탐상 수치해석 (Numerical Analysis of Eddy Current Testing for Tube with Axi-symmetric Defect using Boundary Element Method)

  • 서장원;이향범;윤만식;임의수;정태언
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 B
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    • pp.748-750
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    • 2001
  • This paper describes numerical analysis of eddy current testing for tube with axi-symmetric defect using boundary element method. In this ECT(Eddy Current Testing) numerical analysis. BEM and FEM are used to compare their characteristics and results of ECT, respectively BEM is easier than FEM to design geometrically complex domain because in case of BEM, domain is divided into segments or elements, but in case of FEM, domain is divided into small finite triangular or quadrilateral elements. For this reason asymmetry defect is used for this BE numerical analysis. As a result, the similar result can be obtained through both numerical analyses, and BEM can be applied to the numerical analysis of ECT.

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Filling Holes in Large Polygon Models Using an Implicit Surface Scheme and the Domain Decomposition Method

  • Yoo, Dong-Jin
    • International Journal of Precision Engineering and Manufacturing
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    • 제8권1호
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    • pp.3-10
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    • 2007
  • A new approach based on implicit surface interpolation combined with domain decomposition is proposed for filling complex-shaped holes in a large polygon model, A surface was constructed by creating a smooth implicit surface from an incomplete polygon model through which the actual surface would pass. The implicit surface was defined by a radial basis function, which is a continuous scalar-value function over the domain $R^{3}$. The generated surface consisted of the set of all points at which this scalar function is zero. It was created by placing zero-valued constraints at the vertices of the polygon model. The well-known domain decomposition method was used to treat the large polygon model. The global domain of interest was divided into smaller domains in which the problem could be solved locally. The LU decomposition method was used to solve the set of small local problems; the local solutions were then combined using weighting coefficients to obtain a global solution. The validity of this new approach was demonstrated by using it to fill various holes in large and complex polygon models with arbitrary topologies.

IoT 환경에서의 지역 Gateway 기반 데이터 전송에 관한 연구 (A Study on Region Gateway-based Data Transmission in IoT Environment)

  • 조경우;오창헌
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2017년도 추계학술대회
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    • pp.531-532
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    • 2017
  • oneM2M의 domain은 Device, Network, Application domain으로 구분되며, 다양한 device에서 생성되는 데이터를 IoT/M2M gateway를 통해 취합, Core/Access Network를 거쳐 적합한 IoT/M2M Infrastructure에 전달한다. 그러나 device가 동일한 지역 내에 위치하는 Infrastructure에 데이터를 전달 할 경우에도 Core/Access Network에 접근이 필요하다. 본 논문에서는 oneM2M domain에 지역 network domain의 개념을 추가하여 데이터의 지역정보를 판단 후 전송, 불필요한 Core/Access Network의 접근을 방지하는 지역 gateway 기반 데이터 전송방법을 제안한다.

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Multi-Domain Structural-Acoustic Coupling Analysis Using the Finite Element and Boundary Element Techniques

  • Ju, Hyeon-Don;Lee, Shi-Bok
    • Journal of Mechanical Science and Technology
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    • 제15권5호
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    • pp.555-561
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    • 2001
  • A new approach to analyze the multi-domain acoustic system divided and enclosed by flexible structures is presented in this paper. The boundary element formulation of the Helmholtz integral equation is used for the internal fields and the finite element formulation for the structures surrounding the fields. We developed a numerical analysis program for the structural-acoustic coupling problems of the multi-domain system, in which boundary conditions such as the continuity of normal particle velocity and sound pressure in the structural interfaces between Field 1 and Field 2 are not needed. The validity of the numerical analysis program is verified by comparing the numerical results with the experimental ones. Example problems are included to investigate the characteristics of the coupled multi-domain system.

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