• Title/Summary/Keyword: Weight function

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GAUSSIAN QUADRATURE FORMULAS AND LAGUERRE-PERRON@S EQUATION

  • HAJJI S. EL;TOUIJRAT L.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.205-228
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    • 2005
  • Let I(f) be the integral defined by : $I(f) = \int\limits_{a}^{b} f(x)w(x)dx$ with f a given function, w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value of I(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme.

Effects of Acute Oral Administration of Mancozeb on the Immune Function in Mice (Mancozeb의 급성노출이 마우스의 면역기능에 미치는 영향)

  • 정애희;표명윤
    • YAKHAK HOEJI
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    • v.48 no.1
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    • pp.41-46
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    • 2004
  • Mancozeb, a polymeric complex of zinc and manganese salts of ethylene bisthiocarbamate (EBDC), is used widely in agriculture as fungicides, insecticides, and herbicides. Mancozeb can be occupationally and environmentally exposed to human and has been reported to induce estrogenic activity, therein it is considered as an endocrine disrupter, We investigated the effects of acute exposure of Mancozeb on the immune function in mice. After single oral administration of Mancozeb to female ICR mice, the immunopathological parameters (body- and organ-weight, splenic cellularity hematological parameters), mitogen (Con A, PHA+IL-2, LPS)-induced splenocyte proliferation (SP) and splenic IgM plaque forming cell (PFC). WBC and splenic cellularity were decreased, but liver-, kidney-, and spleen-weight were increased when compared with control group. Splenic IgM PFC against SRBC was slightly lowered. Mitogen-induced proliferation of spleen cells from Mancozeb-treated mice was not signifcantly changed ex vivo, however, SP in vitro were significantly lowered in concentration dependent manner. These results indicate that Mancozeb could affect the immune function in mice.

Optimum Structural Design of a Corrugated Bulkhead by using Flexible Tolerance Method (FTM을 이용한 파형격벽의 최적구조설계)

  • S.J.,Yim;G.H.,Kim;Y.S.,Yang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.4
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    • pp.45-52
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    • 1987
  • In this paper, merits and demerits of Nelder and Mead Penalty Function Method(SUMTNM) and Flexible Tolerance Method(FTM) are investigated from the standpoint of generality, accuracy and efficiency. SUMTNM is combined with Nelder and Method and SUMT, but FTM improves the values of the objective function by using information provided by feasible points as well as certain nonfeasible points termed near-feasible points. Therefore, FTM uses more information than SUMTNM for minimizing object function. The structural analysis of a vertically corrugated bulkhead is performed by collapse mechanism and plate buckling analysis. Based on the results of this analysis, minimum structural weight design of a corrugated bulkhead by use of above two optimization techniques is carried out by investigating the effects of sizes of bulkhead on the structural weight.

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A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • v.14 no.2
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.

An Analysis of the Optimal Thermal Storage Time of Air-Conditioning System with Slab Thermal Storage : An Analysis by the Gradient Method Algorithm (슬래브축열의 최적축열시간 산정 : 구배법 알고리즘에 의한 해석)

  • Jung, Jae-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.20 no.10
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    • pp.702-709
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    • 2008
  • In this paper, the optimal thermal storage time of an air-conditioning system with slab thermal storage in office building was analyzed on the basis of the gradient method algorithm. The sum of room temperature deviation and heat extraction rate was set to the criterion function. It was calculated that four hours is the optimal thermal storage time under the standard evaluation criterion. Furthermore, some case studies were executed by controlling ratio of weight functions of room temperature deviation and heat extraction rate in criterion function. It is possible to design many kinds of optimal operation of an air-conditioning system with slab thermal storage by controlling ratio of the weight functions in criterion function.

Gaussian Noise Reduction Technique using Improved Kernel Function based on Non-Local Means Filter (비지역적 평균 필터 기반의 개선된 커널 함수를 이용한 가우시안 잡음 제거 기법)

  • Lin, Yueqi;Choi, Hyunho;Jeong, Jechang
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2018.11a
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    • pp.73-76
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    • 2018
  • A Gaussian noise is caused by surrounding environment or channel interference when transmitting image. The noise reduces not only image quality degradation but also high-level image processing performance. The Non-Local Means (NLM) filter finds similarity in the neighboring sets of pixels to remove noise and assigns weights according to similarity. The weighted average is calculated based on the weight. The NLM filter method shows low noise cancellation performance and high complexity in the process of finding the similarity using weight allocation and neighbor set. In order to solve these problems, we propose an algorithm that shows an excellent noise reduction performance by using Summed Square Image (SSI) to reduce the complexity and applying the weighting function based on a cosine Gaussian kernel function. Experimental results demonstrate the effectiveness of the proposed algorithm.

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A Shape Function for Meshless Method Using Partition Unity Method and Three-dimensional Applications (단위 분할법에 의한 무요소법의 형상함수와 3차원 적용)

  • Nam, Yong-Yun
    • 연구논문집
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    • s.28
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    • pp.123-135
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    • 1998
  • A shape function for element free Galerkin method is carved from Shepard interpolant of singular weight and consistency condition. Thus present shape function is an interpolation and has no singularities. The shape function is applied to cantilever bending problems and gives good results in comparison with beam theory. Finally it is shown that the coupling with finite element method is made easily without any additional treaties.

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BLOCH-TYPE SPACE RELATED WITH NORMAL FUNCTION

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.533-541
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    • 2011
  • Let ${\omega}$ be a normal function. In this paper, we will extend the concept of Bloch space to Bloch-type space related with normal function ${\omega}$. We will investigate the properties of Bloch-type space ${\mathcal{B}}_{\omega}$ and the little Bloch-type space ${\mathcal{B}}_{{\omega},0}$ with weight ${\omega}$.

HYPERGEOMETRIC FUNCTIONS AND EICHLER INTEGRALS

  • Lim, Su-Bong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.4
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    • pp.223-226
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    • 2008
  • Duke and Imamo$\bar{g}$lu express the Eichler integrals associated to modular forms of weight 3 in terms of generalized hypergeometric functions. We extend this result to most general modular forms of weight 3.

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