• 제목/요약/키워드: analytic number theory

검색결과 31건 처리시간 0.02초

Fuzzy Set Theory와 Analytic Hierarchy Process를 이용한 서비스품질 측정 (Measurement of Service Quality Using Fuzzy Set Theory and Analytic Hierarchy Process)

  • 이회식;유춘번;최용정;정해준;김유라
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2006년도 추계 학술대회
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    • pp.236-242
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    • 2006
  • 세계적으로 각 분야에서 SERVQUAL 모형과 SERVPERF 모형 등을 이용한 서비스품질에 대한 측정과 관련된 연구들이 많이 수행되어 오고 있지만 서비스품질을 계량화시키기 위한 연구는 활성화되고 있지 못하는 상황이다. 따라서, 본 연구의 목적은 불확실하고 주관적인 환경에서 서비스품질을 객관성있게 측정하고 계량화시키기 위해서 L.A. Zadeh가 제안한 퍼지이론의 Triangular Fuzzy Number(TFN) 와 T.L. Saaty가 제안한 Analytic Hierarchy Process (AHP)를 이용하여 서비스품질을 측정하기 위한 방법을 제안하는 것이고, 본 연구를 통해서 조직의 제한적 자원으로 고객만족 극대화를 실현하기 위한 경쟁우위적 전략의 일환으로써 서비스품질을 제고시키는데 효율적이며 효과적인 의사결정안이 도출될 것으로 사료된다.

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저 누드센 영역에서 다중 유체구 주위의 유동장 해석 (Analysis of Flow Field around Multiple Fluid Spheres in the Low Knudsen Number Region)

  • 정창훈;이규원
    • 한국대기환경학회지
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    • 제19권6호
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    • pp.733-743
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    • 2003
  • The flow field in multiple fluid sphere systems was studied analytically. The expanded zero vorticity cell model based on Kuwabara's theory (1959) was applied and the effects of gas slippage at the collecting surface were considered. Also, the solid sphere system was extended to fluid sphere including the effects of the induced internal circulation inside the liquid droplet spheres or gas bubble systems. As a result, the obtained analytic solution was converged to the existing solutions for flow field around solid and bubble sphere systems with proper boundary conditions. Based on the resolved flow field, the terminal velocity around the collecting fluid spheres was obtained. Subsequently, this study evaluated the most general solution for flow field around the multiple fluid sphere systems. The obtained flow field in multiple fluid sphere could be used as a fundamental consideration of wet scrubber design and devices for removing particles by fluid-fluid interactions.

대형 회로망 그래프 마디축소 모델 (Node-reduction Model of Large-scale Network Grape)

  • 황재호
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권2호
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    • pp.93-99
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    • 2001
  • A new type geometric and mathematical network reduction model is introduced. Large-scale network is analyzed with analytic approach. The graph has many nodes, branches and loops. Circuit equation are obtained from these elements and connection rule. In this paper, the analytic relation between voltage source has a mutual different graphic property. Node-reduction procedure is achieved with this circuit property. Consequently voltage source value is included into the adjacent node-analyzing equation. A resultant model equations are reduced as much as voltage source number. Matrix rank is (n-1-k), where n, k is node and voltage source number. The reduction procedure is described and verified with geometric principle and circuit theory. Matrix type circuit equation can be composed with this technique. The last results shall be calculated by using computer.

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Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory

  • Nebab, Mokhtar;Atmane, Hassen Ait;Bennai, Riadh;Tahar, Benabdallah
    • Earthquakes and Structures
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    • 제17권5호
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    • pp.447-462
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    • 2019
  • This present paper concerned with the analytic modelling for vibration of the functionally graded (FG) plates resting on non-variable and variable two parameter elastic foundation, based on two-dimensional elasticity using higher shear deformation theory. Our present theory has four unknown, which mean that have less than other higher order and lower theory, and we denote do not require the factor of correction like the first shear deformation theory. The indeterminate integral are introduced in the fields of displacement, it is allowed to reduce the number from five unknown to only four variables. The elastic foundations are assumed a classical model of Winkler-Pasternak with uniform distribution stiffness of the Winkler coefficient (kw), or it is with variables distribution coefficient (kw). The variable's stiffness of elastic foundation is supposed linear, parabolic and trigonometry along the length of functionally plate. The properties of the FG plates vary according to the thickness, following a simple distribution of the power law in terms of volume fractions of the constituents of the material. The equations of motions for natural frequency of the functionally graded plates resting on variables elastic foundation are derived using Hamilton principal. The government equations are resolved, with respect boundary condition for simply supported FG plate, employing Navier series solution. The extensive validation with other works found in the literature and our results are present in this work to demonstrate the efficient and accuracy of this analytic model to predict free vibration of FG plates, with and without the effect of variables elastic foundations.

A new size-dependent shear deformation theory for wave propagation analysis of triclinic nanobeams

  • Karami, Behrouz;Janghorban, Maziar
    • Steel and Composite Structures
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    • 제32권2호
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    • pp.213-223
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    • 2019
  • For the first time, longitudinal and transverse wave propagation of triclinic nanobeam is investigated via a size-dependent shear deformation theory including stretching effect. Furthermore, the influence of initial stress is studied. To consider the size-dependent effects, the nonlocal strain gradient theory is used in which two small scale parameters predict the behavior of wave propagation more accurately. The Hamiltonian principle is adopted to obtain the governing equations of wave motion, then an analytic technique is applied to solve the problem. It is demonstrated that the wave characteristics of the nanobeam rely on the wave number, nonlocal parameter, strain gradient parameter, initial stress, and elastic foundation. From this paper, it is concluded that the results of wave dispersion in isotropic and anisotropic nanobeams are almost the same in the presented case study. So, in this case, triclinic nanobeam can be approximated with isotropic model.

DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS

  • Kurt, Burak
    • 대한수학회논문집
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    • 제36권1호
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    • pp.19-26
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    • 2021
  • Degenerate versions of the special polynomials and numbers since they have many applications in analytic number theory, combinatorial analysis and p-adic analysis. In this paper, we define the degenerate poly-Euler numbers and polynomials arising from the modified polyexponential functions. We derive explicit relations for these numbers and polynomials. Also, we obtain some identities involving these polynomials and some other special numbers and polynomials.

Analytic solution for flat-plate under a free surface with finite depth effects

  • Sakir Bal
    • Ocean Systems Engineering
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    • 제14권3호
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    • pp.301-314
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    • 2024
  • In this study, the lift coefficient and wave deformations for a two-dimensional flat-plate in non-cavitating condition were computed using a closed-form (analytic) solution. This plate moves at a constant speed beneath a free surface in water of finite depth. The model represents the flat-plate using a lumped vortex element within the constraints of potential flow theory. The kinematic and dynamic free surface conditions were combined and linearized. This linearized free surface condition was then applied to get the total velocity potential. The method of images was utilized to account for the effects of finite depth in the calculations. The lift coefficient of the flat-plate and wave elevations on the free surface were calculated using the closed-form solution. The lift coefficients derived from the present analytic solution were validated by comparing them with Plotkin's method in the case of deep water. Wave elevations were also compared with those obtained from a numerical method. A comprehensive discussion on the impact of Froude number, submergence depth of flat-plate from the calm free surface, the angle of attack and the depths of finite bottom on the results - namely, lift coefficients and free surface deformations - is provided.

Detecting Crime Hot Spots Using GAM and Local Moran's I

  • Cheong, Jin-Seong
    • International Journal of Contents
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    • 제8권2호
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    • pp.89-96
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    • 2012
  • Scientific analysis of crime hot spots is essential in preventing and/or suppressing crime. However, results could be different depending on the analytic methods, which highlights the importance of choosing adequate tools. The purpose of this study was to introduce two advanced techniques for detecting crime hot spots, GAM and Local Moran's I, hoping for more police agencies to adopt better techniques.GAM controls for the number of population in study regions, but local Moran's I does not. That is, GAM detects high crime rate areas, whereas local Moran's I identifies high crime volume areas. For GAM, physical disorder was used as a proxy measure for population at risk based on the logic of the broken windows theory. Different regions were identified as hot spots. Although GAM is generally regarded as a more advanced method in that it controls for population, it's usage is limited to only point data. Local Moran's I is adequate for zonal data, but suffers from the unavoidable MAUP(Modifiable Areal Unit Problem).

A Linear Theory of MHD Stability in the Geomagnetotail

  • Lee, Dae-Young
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • 제24권1호
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    • pp.11-18
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    • 1996
  • A stability analysis in the geomagentotail is presented within MHD limit with a modified form ideal Ohm's law. Using the high ky approximation (ballooning limit), we derive the basic eigenmode equations which can be reduced to the ideal MHD limit. The incompressible limit is numerically solved for a number of model equilibria of tail by Kan [1973], and we have found no unstable Kan equilibrium. Also, an analytic theory is carried out for the case where Bkc is assumed to be constant along the field line, following the idea by Lee and Min [1996]. In that case, it is suggested that the tail stability to the incompressible antisymmetric mode is determined by the ideal MHD.

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장애 정체감 척도의 Rasch 모형 적용 (Rasch Rating Scale Modeling of the Disability Identity Scale)

  • 이익섭;홍세희;신은경
    • 한국사회복지학
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    • 제59권4호
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    • pp.273-296
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    • 2007
  • 본 연구는 장애정체감을 평가하는 도구로 개발된 23문항의 척도를 Rasch 모형을 적용하여 문항을 재구성한 연구이다. 척수손상 장애인 397명을 대상으로 개발한 장애정체감 척도(이익섭 신은경, 2006)는 요인분석으로 타당도를 검증한 것으로 문항의 적합도나 난이도 및 응답범주의 적절성을 평가하지는 못하였다. 본 연구에서는 요인분석 절차에서 파생될 수 있는 한계를 보완하고자 문항반응이론(item response theory)의 하나인 Rasch 모형을 각 하위차원별로 적용하여 장애정체감 척도를 재검토하였다. 결과로는 4개차원의 20문항으로 축소되는 것이 문항의 적합도가 높은 것으로 나타났으며, 문항의 난이도 측면에서는 평균수준의 문항이 많은 것으로 드러났다. 응답범주는 4점 척도가 적절했다고 평가되었다. 이러한 척도의 재구성을 통하여 장애정체감의 문항 적합도와 난이도 및 응답범주의 적절성을 객관적으로 평가할 수 있었다.

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