• Title/Summary/Keyword: Relation Function

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Numerical Quadrature for the Prandtl Meyer Function at High Temperature with Application for Air

  • Zebbiche, Toufik
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.2
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    • pp.9-17
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    • 2008
  • When the stagnation temperature of the combustion chamber or ambient air increases, the specific heats and their ratio do not remain constant any more, and start to vary with this temperature. The gas remains perfect, except, it will be calorically imperfect and thermally perfect. A new generalized form of the Prandtl Meyer function is developed, by adding the effect of variation of this temperature, lower than the threshold of dissociation. The new relation is presented in the form of integral of a complex analytical function, having an infinite derivative at the critical temperature. A robust numerical integration quadrature is presented in this context. The classical form of the Prandtl Meyer function of a perfect gas becomes a particular case of the developed form. The comparison is made with the perfect gas model for aim to present a limit of its application. The application is for air.

A Study on Measuring Method in Technical Progress (기술진보 측정방법에 관한 일고안)

  • 박일근
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.3 no.3
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    • pp.59-66
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    • 1980
  • The purpose of this paper to study on measuring method in technical progress. Technology is combination method of raw material and capital, land, labour. The first step to technical Progress is COBB-DOUGLAS production function, so technical progresses are important role in economic growth and development. General production function from Y=f(K, L, T) and COBB-DOUGLAS production function Y=${AK^I}{L^b}$ is first condition. Technical progress is saving of production factor In capital saving, labour saving, neutral saving. Marred Hicks Robinson has Insist on technical progress by each view of production factor, but, what is most excellent measuring method of technical progress\ulcorner I : productivity index method. II : Gross Production function method. Productivity method used in every products level in weight values, gross method function method used in production factor attributed to products. Above two measuring method has delicate problem in each input factor, substitution relation and production factor simultaneously linked each others This basic problem based on technical progress is not solubable in this time.

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A FAMILY OF HOLOMORPHIC FUNCTIONS ASSOCIATED WITH MUTUALLY ADJOINT FUNCTIONS

  • K.R. KARTHIKEYAN;G. MURUGUSUNDARAMOORTHY;N.E. CHO
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.997-1006
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    • 2024
  • In this paper, making use of symmetric differential operator, we introduce a new class of ℓ-symmetric - mutually adjoint functions. To make this study more comprehensive and versatile, we have used a differential operator involving three-parameter extension of the well-known Mittag-Leffler functions. Mainly we investigated the inclusion relation and subordination conditions which are the main results of the paper. To establish connections or relations with earlier studies, we have presented applications of main results as corollaries.

The energy absorption behavior of square tube by F.E.M (유한요소법에 의한 사각형 튜브의 충돌에너지 흡수거동 II)

  • 강대민;윤명균;황종관
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.181-188
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    • 2000
  • This paper describes the energy absorption of a square tube under axi compression by using the finite element method. The overall deformations and lo buckling modes of tube was discussed by "plastic hinge concep Force-displacement function was plotted to show various state that depended or time. Also, mean crush load was expressed as a type of section geometry a material property using dimensional analysis. To verify the energy absorption and the effects of dimensions, The standards Wt used as related density and specific energy, mean crushing load and the resL were discussed by the relation between crush load and deformation, the relati between related density and specific energy, the relation between crush load a mean crush load, the relation between mean crush load and specific energy.ergy.

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Prediction of the Turbulent Mixing in Bare Rod Bundles

  • Kim, Sin;Chung, Bum-Jin
    • Nuclear Engineering and Technology
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    • v.31 no.1
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    • pp.104-115
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    • 1999
  • The turbulent mixing rate is a very important variable in the thermal-hydraulic design of nuclear reactors. In this study, the turbulent mixing rate the fluid flows through rod bundles is estimated with the scale analysis on the flow pulsation phenomenon. Based upon the assumption that the turbulent mixing is composed of molecular motion, isotropic turbulent motion (turbulent motion without the flow pulsation), and How pulsation, the scale relation for the mixing is derived as a function of P/D, Re, and Pr. The derived scale relation is compared with published experimental results and shows good agreements. Since the scale relation is applicable to various Prandtl number fluid flows, it is expected to be useful for the thermal-hydraulic analysis of liquid metal coolant reactors as well as of moderate Prandtl number coolant reactors.

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Functional Relation Between Signal Distortion and a Figure of Merit for Nonlinear Process in Dispersion-managed Optical Transmission

  • Kim, Sungman
    • Journal of the Optical Society of Korea
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    • v.16 no.2
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    • pp.95-100
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    • 2012
  • We show that the minimum EOP (eye-opening penalty) obtained by tunable dispersion compensation is a function of a figure of merit for a nonlinear process, $I_0L_{eff}$, where $I_0$ is the optical intensity and $L_{eff}$ is the effective length of the interaction region. Using this rule, we do not need to conduct nonlinear simulations in all the cases of signal power and transmission length to obtain the signal distortion in dispersion-managed optical transmission. Instead, we need to conduct a simulation in only one case of a signal power and find the functional relation, and then we can obtain the values of the signal distortion in other cases using the discovered functional relation. This technique can reduce the number of nonlinear simulations to less than 10%.

STRUCTURE RELATIONS OF CLASSICAL MULTIPLE ORTHOGONAL POLYNOMIALS BY A GENERATING FUNCTION

  • Lee, Dong Won
    • Journal of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1067-1082
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    • 2013
  • In this paper, we will find some recurrence relations of classical multiple OPS between the same family with different parameters using the generating functions, which are useful to find structure relations and their connection coefficients. In particular, the differential-difference equations of Jacobi-Pineiro polynomials and multiple Bessel polynomials are given.

Theoretical Analysis of Levers in a Precision Stage for Large Displacement (정밀 스테이지에서 출력변위 확대를 위한 레버의 해석)

  • 황은주;민경석;송신형;최우천
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.720-723
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    • 2004
  • Lever mechanisms are usually employed to enlarge output displacement in precision stages. In this study, theoretical analysis of a lever is presented including bending effect and relation between dimension parameters and an objective function. The objective function is chosen as multiplication of magnification ratio and forcedisplacement transmission. Through theoretical analysis, this study presents optimal values for the parameters and the analysis is verified by finite element method.

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A NOTE ON THE BRÜCK CONJECTURE

  • Lu, Feng
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.951-957
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    • 2011
  • In 1996, Br$\ddot{u}$ck studied the relation between f and f' if an entire function f shares one value a CM with its first derivative f' and posed the famous Br$\ddot{u}$ck conjecture. In this work, we generalize the value a in the Br$\ddot{u}$ck conjecture to a small function ${\alpha}$. Meanwhile, we prove that the Br$\ddot{u}$ck conjecture holds for a class of meromorphic functions.

Emotional Image Quality Evaluation Technology for Display Devices

  • Lee, Eun-Jung;Lee, Seung-Bae
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.23 no.3
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    • pp.10-17
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    • 2009
  • In this paper, we explained the relation between evaluating display device and emotional image quality evaluation in human perceptual view. It is also suggested two emotional image quality evaluation method of display reflecting human visual function. One is the color space of CIECAM02 and the other is capturing moving image. It is necessary to standardize the evaluation methods of image quality based on emotional evaluation.