• 제목/요약/키워드: local function

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ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd

  • OLSEN, LARS
    • 대한수학회보
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    • 제52권5호
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    • pp.1489-1493
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    • 2015
  • For a subset $E{\subseteq}\mathbb{R}^d$ and $x{\in}\mathbb{R}^d$, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by $$dim_{H,loc}(x,E)=\lim_{r{\searrow}0}dim_H(E{\cap}B(x,r))$$, $$dim_{P,loc}(x,E)=\lim_{r{\searrow}0}dim_P(E{\cap}B(x,r))$$, where $dim_H$ and $dim_P$ denote the Hausdorff dimension and the packing dimension, respectively. In this note we give a short and simple proof showing that for any pair of continuous functions $f,g:\mathbb{R}^d{\rightarrow}[0,d]$ with $f{\leq}g$, it is possible to choose a set E that simultaneously has f as its local Hausdorff dimension function and g as its local packing dimension function.

Local structural alignment and classification of TIM barrel domains

  • Keum, Chang-Won;Kim, Ji-Hong;Jung, Jong-Sun
    • Bioinformatics and Biosystems
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    • 제1권2호
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    • pp.123-127
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    • 2006
  • TIM barrel domain is widely studied since it is one of most common structure and mediates diverse function maintaining overall structure. TIM barrel domain's function is determined by local structural environment at the C-terminal end of barrel structure. We classified TIM barrel domains by local structural alignment tool, LSHEBA, to understand characteristics of TIM barrel domain's functionalvariation. TIM barrel domains classified as the same cluster share common structure, function and ligands. Over 80% of TIM barrels in clusters share exactly the same catalytic function. Comparing clustering result with that of SCOP, we found that it's important to know local structural environment of TIM barrel domains rather than overallstructure to understand specific structural detail of TIM barrel function. Non TIM barrel domains were associated to make different domain combination to form a different function. The relationship between domain combination, we suggested expected evolutional history. We finally analyzed the characteristics of amino acids around ligand interface.

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적응적 영역분할법을 이용한 임의의 점군으로부터의 형상 재구성 (Shape Reconstruction from Unorganized Cloud of Points using Adaptive Domain Decomposition Method)

  • 유동진
    • 한국정밀공학회지
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    • 제23권8호
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    • pp.89-99
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    • 2006
  • In this paper a new shape reconstruction method that allows us to construct surface models from very large sets of points is presented. In this method the global domain of interest is divided into smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together according to weighting coefficients to obtain a global solution using partition of unity function. The suggested approach gives us considerable flexibility in the choice of local shape functions which depend on the local shape complexity and desired accuracy. At each domain, a quadratic polynomial function is created that fits the points in the domain. If the approximation is not accurate enough, other higher order functions including cubic polynomial function and RBF(Radial Basis Function) are used. This adaptive selection of local shape functions offers robust and efficient solution to a great variety of shape reconstruction problems.

A FILLED FUNCTION METHOD FOR BOX CONSTRAINED NONLINEAR INTEGER PROGRAMMING

  • Lin, Youjiang;Yang, Yongjian
    • 대한수학회지
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    • 제48권5호
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    • pp.985-999
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    • 2011
  • A new filled function method is presented in this paper to solve box-constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local minimizer can be obtained by local search starting from an improved initial point which is obtained by locally solving a box-constrained integer programming problem. Several illustrative numerical examples are reported to show the efficiency of the present method.

여유 자유도 로봇의 실시간 충돌 회피 (Real-time obstacle avoidance for redundant manipulator)

  • 조웅장;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1140-1143
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    • 1996
  • A new approach based on artificial potential function is proposed for the obstacle avoidance of redundant manipulators. Unlike the so-called "global" path planning method, which requires expensive computation for the path search before the manipulator starts to move, this new approach, "local" path planning, researches the path in real-time using the local distance information. Previous use of artificial potential function has exhibited local minima in some complex environments. This thesis proposes a potential function that has no local minima even for a cluttered environment. This potential function has been implemented for the collision avoidance of a redundant robot in Simulation. The simulation also employ an algorithm that eliminates collisions with obstacles by calculating the repulsive potential exerted on links, based on the shortest distance to object.

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제주 전통돌담의 유지보전에 관한 의식조사 (A Survey on Preservation of Traditional Stone Fences in Jeju)

  • 이상영
    • 농촌계획
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    • 제13권1호
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    • pp.33-40
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    • 2007
  • The purpose of this paper is to analyze the value of stone fences in Jeju Island. The result that executes attitude survey to local resident and visitor can be summarizing as following. First are the function and the value of Jeju traditional stone fences. Local resident favored the culture heritage succession and evaluated its' usage Value highly. Visitors also have favored rural landscape offer function and evaluated inheritance value (Bequest Value) highly. Secondly, 80.5% of visitors, 78.1% of local resident have formed opinion about preservation of traditional stone fences. But the Willingness to pay for traditional stone fences fund was raised by 38.6% in local resident and 55.7% in visitor. The reason that willingness to pay does not exist is that it is chargeable to connection group and government, or it has no money to pay. Thirdly, local resident wanted to use made up stone fence preservation fund in rural landscape offer function. Visitor wanted that it is used to raise various function of stone fence.

지역사회복지관의 기능전환에 따른 정체성 확립방안 연구 (A Study on the Method to Establish the Identity Depending on the Functional Transfer of Local Social Welfare Center)

  • 김윤재;금유현
    • 벤처창업연구
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    • 제8권1호
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    • pp.205-222
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    • 2013
  • 2011년 사회복지사업법 개정, 2012년 사회복지사업법 시행규칙이 개정됨으로써 지역사회복지관의 기능이 사례관리기능, 서비스제공기능, 지역사회조직화기능의 3대 기능으로 재조정이 이루어졌다. 그에 따라 지역사회복지관은 2013년부터 지역사회복지관에 요구되는 기능과 역할, 그에 부합하는 사업 및 프로그램과 서비스, 조직체계를 정비하면서 지역사회복지의 핵심적 주체로서의 위상을 새롭게 정립해나가야 하는 과제를 안게 되었다. 그러나 현재 지역사회복지관이 본연의 기능을 수행하는데 있어서는 내외적 제약요인이 작용하고 있다. 외부적으로는 유사기관과의 경쟁, 사회환경의 변화에 따른 복지욕구의 다양화, 서비스네트워크 구축의 미흡, 민관파트너십의 부재 등이 있으며 내부적 제약요인으로는 지역사회조직화 역량의 부족, 프로그램 문제, 자원의 부족, 인력의 부족, 등이 자리잡고 있다. 이러한 제약요인들을 극복하면서 지역사회복지관이 지역주민의 삶의 질 향상을 위한 중추적 위상을 정립하기 위해서는 지역사회조직화사업에 복지관의 역량 집중, 지역사회복지 관련 인적 물적 자원네트워크 구축, 사회교육프로그램가 단순구호사업의 점진적인 축소, 주민조직의 육성 마을만들기의 바람직한 방향 제시, 지역주민 욕구조사에 토대한 프로그램 개발, 민관파트너십 형성노력 등이 요구된다.

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A GENERALIZED SINGULAR FUNCTION

  • Baek, In-Soo
    • 충청수학회지
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    • 제23권4호
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    • pp.657-661
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    • 2010
  • We study a singular function which we call a generalized cylinder convex(concave) function induced from different generalized dyadic expansion systems on the unit interval. We show that the generalized cylinder convex(concave)function is a singular function and the length of its graph is 2. Using a local dimension set in the unit interval, we give some characterization of the distribution set using its derivative, which leads to that this singular function is nowhere differentiable in the sense of topological magnitude.

On Practical Efficiency of Locally Parametric Nonparametric Density Estimation Based on Local Likelihood Function

  • Kang, Kee-Hoon;Han, Jung-Hoon
    • Communications for Statistical Applications and Methods
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    • 제10권2호
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    • pp.607-617
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    • 2003
  • This paper offers a practical comparison of efficiency between local likelihood approach and conventional kernel approach in density estimation. The local likelihood estimation procedure maximizes a kernel smoothed log-likelihood function with respect to a polynomial approximation of the log likelihood function. We use two types of data driven bandwidths for each method and compare the mean integrated squares for several densities. Numerical results reveal that local log-linear approach with simple plug-in bandwidth shows better performance comparing to the standard kernel approach in heavy tailed distribution. For normal mixture density cases, standard kernel estimator with the bandwidth in Sheather and Jones(1991) dominates the others in moderately large sample size.

Local Influence of the Quasi-likelihood Estimators in Generalized Linear Models

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제14권1호
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    • pp.229-239
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    • 2007
  • We present a diagnostic method for the quasi-likelihood estimators in generalized linear models. Since these estimators can be usually obtained by iteratively reweighted least squares which are well known to be very sensitive to unusual data, a diagnostic step is indispensable to analysis of data. We extend the local influence approach based on the maximum likelihood function to that on the quasi-likelihood function. Under several perturbation schemes local influence diagnostics are derived. An illustrative example is given and we compare the results provided by local influence and deletion.