• Title/Summary/Keyword: Rational

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Accuracy of Precision Ground Coordinates Determination Using Inverse RPC in KOMPSAT Satellite Data (다목적실용위성(KOMPSAT)의 Inverse RPC 해석을 통한 정밀지상좌표 결정 정확도)

  • Seo, DooChun;Jung, JaeHun;Hong, KiByung
    • Aerospace Engineering and Technology
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    • v.13 no.2
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    • pp.99-107
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    • 2014
  • There are two types of Physical Model and RFM (Rational Function Model) is to determinate ground coordinates using KOMPSAT-2 and KOMPSAT-3 satellite data. Generally, RPCs(Rational Polynomial Coefficients) based on RFM is provided for users. This RPCs is to compute the ground coordinates to the image coordinates. If users produce ortho-image with provided RPCs is useful, directly compute the ground coordinates corresponding to image coordinates and check location accuracy etc. are difficult. In this study, a basic algorithm of inverse RPCs that calculates the image coordinates to ground coordinates, compute based on provided RPCs and evaluation of determinated ground coordinates using developed inverse RPCs were proposed.

Effective Determination of Optimal Regularization Parameter in Rational Polynomial Coefficients Derivation

  • Youn, Junhee;Hong, Changhee;Kim, TaeHoon;Kim, Gihong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.31 no.6_2
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    • pp.577-583
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    • 2013
  • Recently, massive archives of ground information imagery from new sensors have become available. To establish a functional relationship between the image and the ground space, sensor models are required. The rational functional model (RFM), which is used as an alternative to the rigorous sensor model, is an attractive option owing to its generality and simplicity. To determine the rational polynomial coefficients (RPC) in RFM, however, we encounter the problem of obtaining a stable solution. The design matrix for solutions is usually ill-conditioned in the experiments. To solve this unstable solution problem, regularization techniques are generally used. In this paper, we describe the effective determination of the optimal regularization parameter in the regularization technique during RPC derivation. A brief mathematical background of RFM is presented, followed by numerical approaches for effective determination of the optimal regularization parameter using the Euler Method. Experiments are performed assuming that a tilted aerial image is taken with a known rigorous sensor. To show the effectiveness, calculation time and RMSE between L-curve method and proposed method is compared.

A Variability Analysis on the Flatfish Production and Revenue using Expectation Hypotheses and GARCH Model

  • Yoon, Hyung-Mo;Yoon, Ji-Young
    • The Journal of Fisheries Business Administration
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    • v.48 no.2
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    • pp.1-17
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    • 2017
  • This work studies the variability of flatfish sales revenue. The theoretical analysis draws functions for equilibrium price and quantity using expectation hypotheses. The functions include unpredictable phenomenon with dummy variable and GARCH. The equilibrium function, using adaptive expectation hypothesis, contains the independent variables of supply and demand, while the equilibrium function, embodying rational expectation hypothesis, includes only the independent variables of supply side, because the demand side disappears by the information extraction process theoretically, if economic subjects build the expectation rational. The empirical analysis shows: the variability of flatfish production has a spillover effect on the variability of revenue with the adaptive expectation hypothesis. In the case when the model has a rational expectation hypothesis, the variability of flatfish production has a spillover effect on the revenue (the mean equation of GARCH model). This study indicates that there is the variability in flatfish production and sales revenue, and the spillover effect between them. The result can help to build of the rational system for the fishery income stability.

ARC-LENGTH ESTIMATIONS FOR QUADRATIC RATIONAL B$\acute{e}$zier CURVES COINCIDING WITH ARC-LENGTH OF SPECIAL SHAPES

  • Kim, Seon-Hong;Ahn, Young-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.2
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    • pp.123-135
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    • 2011
  • In this paper, we present arc-length estimations for quadratic rational B$\acute{e}$zier curves using the length of polygon and distance between both end points. Our arc-length estimations coincide with the arc-length of the quadratic rational B$\acute{e}$zier curve exactly when the weight ${\omega}$ is 0, 1 and ${\infty}$. We show that for all ${\omega}$ > 0 our estimations are strictly increasing with respect to ${\omega}$. Moreover, we find the parameter ${\mu}^*$ which makes our estimation coincide with the arc-length of the quadratic rational B$\acute{e}$zier curve when it is a circular arc too. We also show that ${\mu}^*$ has a special limit, which is used for optimal estimation. We present some numerical examples, and the numerical results illustrates that the estimation with the limit value of ${\mu}^*$ is an optimal estimation.

On Explaining Rational Numbers for Extending the Number system to Real Numbers (실수로의 수 체계 확장을 위한 유리수의 재해석에 대하여)

  • Shin, Bo-Mi
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.285-298
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    • 2008
  • According to the 7th curriculum, irrational numbers should be introduced using infinite decimals in 9th grade. To do so, the relation between rational numbers and decimals should be explained in 8th grade. Preceding studies remarked that middle school students could understand the relation between rational numbers and decimals through the division appropriately. From the point of view with the arithmetic handling activity, I analyzed that the integers and terminating decimals was explained as decimals with repeating 0s or 9s. And, I reviewed the equivalent relations between irrational numbers and non-repeating decimals, rational numbers and repeating decimals. Furthermore, I suggested an alternative method of introducing irrational numbers.

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Modal Parameter Estimations of Wind-Excited Structures based on a Rational Polynomial Approximation Method (유리분수함수 근사법에 기반한 풍하중을 받는 구조물의 동특성 추정)

  • Kim, Sang-Bum;Lee, Wan-Soo;Yun, Chung-Bang
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.287-292
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    • 2005
  • This paper presents a rational polynomial approximation method to estimate modal parameters of wind excited structures using incomplete noisy measurements of structural responses and partial measurements of wind velocities only. A stochastic model of the excitation wind force acting on the structure is estimated from partial measurements of wind velocities. Then the transfer functions of the structure are approximated as rational polynomial functions. From the poles and zeros of the estimated rational polynomial functions, the modal parameters, such as natural frequencies, damping ratios, and mode shapes are extracted. Since the frequency characteristics of wind forces acting on structures can be assumed as a smooth Gaussian process especially around the natural frequencies of the structures according to the central limit theorem (Brillinger, 1969; Yaglom, 1987), the estimated modal parameters are robust and reliable with respect to the assumed stochastic input models. To verify the proposed method, the modal parameters of a TV transmission tower excited by gust wind are estimated. Comparison study with the results of other researchers shows the efficacy of the suggested method.

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The Impact of Marketing Culture and Rational Decision on Academic Entrepreneurship and Entrepreneurial Marketing: Field Research for Iraqi Private Colleges

  • AL-TAIE, Ahmed Dheyauldeen Salahaldin;ALSIEDE, Yarub A. Hussein
    • The Journal of Asian Finance, Economics and Business
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    • v.9 no.4
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    • pp.131-142
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    • 2022
  • The research aims to test the impact of marketing culture and rational decisions in academic entrepreneurship during entrepreneurial marketing by focusing on the main problem and the challenges that Iraqi private universities face. The most important of these challenges is probably the inability of the private universities to keep pace with the development and the environmental challenges. The researcher chose 26 private Iraqi universities/colleges for the study. The sample was taken from deans, assistant deans, and heads of departments, with 310 people distributed among the various colleges. The researcher used the electronic questionnaire as a tool for collecting information. Data analysis was based on the (SPSS) and (AMOS) programs. The researchers arrived at many conclusions. The most important finding was the impact on both the marketing culture and rational decision on academic entrepreneurship through entrepreneurial marketing. The higher administration in the Iraqi private universities/colleges always strive to adhere to the marketing values, norms and traditions through a commitment to rational decisions to achieve academic entrepreneurship. The higher administrators increase their commitment and adherence to this influence by adhering to marketing entrepreneurship.

Social Distance of Affective Advice: The Role of Construal Level in Acceptance of Rational and Emotional Advice

  • Li, Lu
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.7 no.4
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    • pp.395-402
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    • 2017
  • Social network service provides an excellent platform for people seeking for advices. This research analyzed the effect of rational and emotional response and social distance on people's acceptance for advices online by the construal level theory. An experiment was completed to test the relationship between advisers and questioners and verify the content of online feedback would influence people's acceptance for advices on social network site. The online response included emotional advice and rational advice. Social distance between advisers and questioners was divided to close social distance condition and distant social distance condition. The study showed: (1) comparing with emotional advice, rational advice had a higher persuasive effect in both close and distant social distance conditions; (2) the impact of feedback from people with close social distance was stronger than the impact of the advices from people with distant social distance; (3) there existed an interaction effect between social distance and affective advice. The results revealed that the adviser's affective expression and relationship with the questioner would interactively impact the online persuasive effect.

APPROXIMATION IN LIPSCHITZ ALGEBRAS OF INFINITELY DIFFERENTIABLE FUNCTIONS

  • Honary, T.G.;Mahyar, H.
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.629-636
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    • 1999
  • We introduce Lipschitz algebras of differentiable functions of a perfect compact plane set X and extend the definition to Lipschitz algebras of infinitely differentiable functions of X. Then we define the subalgebras generated by polynomials, rational functions, and analytic functions in some neighbourhood of X, and determine the maximal ideal spaces of some of these algebras. We investigate the polynomial and rational approximation problems on certain compact sets X.

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