• Title/Summary/Keyword: local function

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ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd

  • OLSEN, LARS
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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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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    • v.1 no.2
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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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Shape Reconstruction from Unorganized Cloud of Points using Adaptive Domain Decomposition Method (적응적 영역분할법을 이용한 임의의 점군으로부터의 형상 재구성)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.8 s.185
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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
    • Journal of the Korean Mathematical Society
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    • v.48 no.5
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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.

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

  • 조웅장;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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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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A Survey on Preservation of Traditional Stone Fences in Jeju (제주 전통돌담의 유지보전에 관한 의식조사)

  • Rhee, Sang-Young
    • Journal of Korean Society of Rural Planning
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    • v.13 no.1 s.34
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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.

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

  • Kim, Youn Jae;Kum, You Hyun
    • Asia-Pacific Journal of Business Venturing and Entrepreneurship
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    • v.8 no.1
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    • pp.205-222
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    • 2013
  • As Social Welfare Service Act was revised in 2011 and its enforcement decree was revised in 2012, the function of local social welfare center was classified into 3 functions such as case control function, service supply function and local society systematization function. Therefore, from 2013, local social welfare center faces the assignment to establish its status as a core subjectivity of local social welfare while maintaining function, role, business, program, service and organization system required for local social welfare center. Currently, there are internal and external limit factors for local social welfare center to perform its original function. The external limit factors are competition with similar organization, diversification of welfare desire depending on social change, insufficient service network construction and lack of partnership between private sector and government. The internal limit factors are lack of local social organization's ability, program issue, insufficient resource, insufficient manpower, etc. In order for local social welfare center to overcome the limit factor and establish the core status for improving the life quality of resident, it should concentrate its ability on local society systematization, construct human & material support network related to local social welfare, minimize social education program and simple relief project gradually, suggest the reasonable direction for village to nurture resident organization, develop the program based on the research on local resident's desire and create the partnership between private sector and government.

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A GENERALIZED SINGULAR FUNCTION

  • Baek, In-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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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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    • v.10 no.2
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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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    • v.14 no.1
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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.