• 제목/요약/키워드: regular function

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PROJECTIVE LIMIT OF A SEQUENCE OF BANACH FUNCTION ALGEBRAS AS A FRECHET FUNCTION ALGEBRA

  • Sady. F.
    • 대한수학회보
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    • 제39권2호
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    • pp.259-267
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    • 2002
  • Let X be a hemicompact space with ($K_{n}$) as an admissible exhaustion, and for each n $\in$ N, $A_{n}$ a Banach function algebra on $K_{n}$ with respect to $\parallel.\parallel_n$ such that $A_{n+1}\midK_{n}$$\subsetA_n$ and${\parallel}f{\mid}K_n{\parallel}_n{\leq}{\parallel}f{\parallel}_{n+1}$ for all f$\in$$A_{n+1}$, We consider the subalgebra A = { f $\in$ C(X) : $\forall_n\;{\epsilon}\;\mathbb{N}$ of C(X) as a frechet function algebra and give a result related to its spectrum when each $A_{n}$ is natural. We also show that if X is moreover noncompact, then any closed subalgebra of A cannot be topologized as a regular Frechet Q-algebra. As an application, the Lipschitzalgebra of infinitely differentiable functions is considered.d.

HARMONIC MAPPING RELATED WITH THE MINIMAL SURFACE GENERATED BY ANALYTIC FUNCTIONS

  • JUN, SOOK HEUI
    • Korean Journal of Mathematics
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    • 제23권3호
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    • pp.439-446
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    • 2015
  • In this paper we consider the meromorphic function G(z) with a pole of order 1 at -a and analytic function F(z) with a zero -a of order 2 in $\mathbb{D}=\{z :{\mid}z{\mid}<1\}$, where -1 < a < 1. From these functions we obtain the regular simply-connected minimal surface $S=\{(u(z),\;{\nu}(z),\;H(z)):z{\in}\mathbb{D}\}$ in $E^3$ and the harmonic function $f=u+i{\nu}$ defined on $\mathbb{D}$, and then we investigate properties of the minimal surface S and the harmonic function f.

가중함수이론을 이용한 선형이방성재료에서의 Mode III 균열해석 (Weight Function Theory for a Mode III Crack In a Rectilinear Anisotropic Material)

  • 안득만;권순홍
    • 한국해양공학회지
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    • 제23권1호
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    • pp.146-151
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    • 2009
  • In this paper, a weight function theory for the calculation of the mode III stress intensity factor in a rectilinear anisotropic body is formulated. This formulation employs Lekhnitskii's formalism for two dimensional anisotropic materials. To illustrate the method used for the weight function theory, we calculated the mode III stress intensity factor in a single edge-notched configuration.

모듈기반 퍼스널 로봇의 결함 허용 지원을 위한 네트워크 연결 유지 관리 기법 (Method of network connection management in module based personal robot for fault-tolerant)

  • 최동희;박홍성
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 심포지엄 논문집 정보 및 제어부문
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    • pp.300-302
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    • 2006
  • Middleware offers function that user application program can transmit data independently of network device. Connection management about network connection of module is important for normal service of module base personal robot. Unpredictable network disconnection is influenced to whole robot performance in module base personal robot. For this, Middleware must be offer two important function. The first is function of error detection and reporting about abnormal network disconnection. Therefore, middleware need method for network error detection and module management to consider special quality that each network device has. The second is the function recovering that makes the regular service possible. When the module closed from connection reconnects, as this service reports connection state of the corresponding module, the personal robot resumes the existing service. In this paper proposed method of network connection management for to support fault tolerant about network error of network module based personal robot.

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Genetic approaches toward understanding the individual variation in cardiac structure, function and responses to exercise training

  • Kim, Minsun;Kim, Seung Kyum
    • The Korean Journal of Physiology and Pharmacology
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    • 제25권1호
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    • pp.1-14
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    • 2021
  • Cardiovascular disease (CVD) accounts for approximately 30% of all deaths worldwide and its prevalence is constantly increasing despite advancements in medical treatments. Cardiac remodeling and dysfunction are independent risk factors for CVD. Recent studies have demonstrated that cardiac structure and function are genetically influenced, suggesting that understanding the genetic basis for cardiac structure and function could provide new insights into developing novel therapeutic targets for CVD. Regular exercise has long been considered a robust nontherapeutic method of treating or preventing CVD. However, recent studies also indicate that there is inter-individual variation in response to exercise. Nevertheless, the genetic basis for cardiac structure and function as well as their responses to exercise training have yet to be fully elucidated. Therefore, this review summarizes accumulated evidence supporting the genetic contribution to these traits, including findings from population-based studies and unbiased large genomic-scale studies in humans.

SINGULAR AND DUAL SINGULAR FUNCTIONS FOR PARTIAL DIFFERENTIAL EQUATION WITH AN INPUT FUNCTION IN H1(Ω)

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • 제38권5호
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    • pp.603-610
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    • 2022
  • In [6, 7] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. They considered a partial differential equation with the input function f ∈ L2(Ω). In this paper we consider a PDE with the input function f ∈ H1(Ω) and find the corresponding singular and dual singular functions. We also induce the corresponding extraction formula which are the basic element for the approach.

노인의 인지기능 저하 예측요인: 노인실태조사 패널자료를 이용하여 (Predictors of Cognitive Function Decline of Elderly : Using Living Conditions and Welfare Needs of Older Korean Persons Panel Data)

  • 박현경;송현종
    • 보건의료산업학회지
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    • 제10권3호
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    • pp.147-158
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    • 2016
  • Objectives : The aim of this study was to investigate predictors of cognitive function decline among community dwelling elderly. Methods : Data were analyzed from the Survey of Living Condition of Elderly panel study. Cognitive function was measured with the MMSE-KC at baseline and year 3. The study subjects were 5,464 community dwelling people aged 65 years or older who had no disability at baseline. Logistic regression analysis was used to predict cognitive function decline. Results : From 2008-2011, 4,417(80.8%) elderly people had no cognitive decline, and 1,074(19.2%) showed cognitive function decline measured by the MMSE-KC. After adjusting for demographics and baseline MMSE-KC score, the best predictors for cognitive function decline at 36 months were diabetes mellitus, smoking, low intensity physical activity, relationship with relatives and friends. Conclusions : Health promotion programs that are focused on the elderly are essential in preventing cognitive function decline. Promoting regular physical activity, and social relationships should be included in health promotion for elderly. When treating patients with diabetes, preventing cognitive impairment should be considered through education and counseling.

SUPER VERTEX MEAN GRAPHS OF ORDER ≤ 7

  • LOURDUSAMY, A.;GEORGE, SHERRY
    • Journal of applied mathematics & informatics
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    • 제35권5_6호
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    • pp.565-586
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    • 2017
  • In this paper we continue to investigate the Super Vertex Mean behaviour of all graphs up to order 5 and all regular graphs up to order 7. Let G(V,E) be a graph with p vertices and q edges. Let f be an injection from E to the set {1,2,3,${\cdots}$,p+q} that induces for each vertex v the label defined by the rule $f^v(v)=Round\;\left({\frac{{\Sigma}_{e{\in}E_v}\;f(e)}{d(v)}}\right)$, where $E_v$ denotes the set of edges in G that are incident at the vertex v, such that the set of all edge labels and the induced vertex labels is {1,2,3,${\cdots}$,p+q}. Such an injective function f is called a super vertex mean labeling of a graph G and G is called a Super Vertex Mean Graph.

A FINITE ELEMENT METHOD USING SIF FOR CORNER SINGULARITIES WITH AN NEUMANN BOUNDARY CONDITION

  • Kim, Seokchan;Woo, Gyungsoo
    • East Asian mathematical journal
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    • 제33권1호
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    • pp.1-9
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    • 2017
  • In [8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities, which is useful for the problem with known stress intensity factor. They consider the Poisson equations with homogeneous Dirichlet boundary condition, compute the finite element solution using standard FEM and use the extraction formula to compute the stress intensity factor, then they pose a PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor, which converges with optimal speed. From the solution they could get accurate solution just by adding the singular part. This approach works for the case when we have the reasonably accurate stress intensity factor. In this paper we consider Poisson equations defined on a domain with a concave corner with Neumann boundary conditions. First we compute the stress intensity factor using the extraction formular, then find the regular part of the solution and the solution.

ORLICZ SEQUENCE SPACES OF FOUR DIMENSIONAL REGULAR MATRIX AND THEIR CLOSED IDEAL

  • Raj, Kuldip;Pandoh, Suruchi;Choudhary, Anu
    • 호남수학학술지
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    • 제41권4호
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    • pp.725-744
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    • 2019
  • In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (artkl). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space 𝑙2.