• Journal of the Korean Statistical Society
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• v.17 no.1
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• pp.24-29
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• 1988

The asymptotic distribution of the sample partial autocorrelation terms after lag p of an AR(p) model has been shown by Dixon(1944). The derivation is based on multivariate analysis and looks tedious. In this paper we present an interesting contour-integral derivation.

• The Korean Journal of Applied Statistics
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• v.18 no.1
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• pp.57-66
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• 2005

In this paper, we propose a method to evaluate the solutions of the renewal equations related to SPRT for Erlang distribution. In SPRT, the Average Sample Number(ASN) and type I or type II error probabilities are shown in Fredholm type integral equations. The integral equations are generally solved by the approximation method using Gaussian quadrature. For Erlang distribution, it has been known that the exact solutions of the equations exist. We propose the algorithm to solve the equations.

• Korean Journal of Computational Design and Engineering
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• v.13 no.4
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• pp.296-304
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• 2008

Recently, various attempts are being done to apply off-line programming system to field of paint robot. But most commercial simulation softwares have problems that are slow simulation speed and not support various painting paramenters on simulation. This paper proposes enhanced paint simulation method for off-line programming system. For these, this method used the mathematical model of flux field from a previous research. The flux field has the flux distribution function, which reflects on the feature of paint spray. A previous research derived this flux distribution function for an integral function and calculated paint thickness function for an integral function. But if flux distribution function is defined as an integral function, it is inadequate to use for real-time simulation because a number of calculation is needed for estimation of paint thickness distribution. Therefore, we defined the flux distribution function by numerical method for reducing a mount of calculation for estimation of paint thickness. We derived the equation of paint thickness function analytically for reducing a mount of calculation from the paint distribution function defined by numerical method. In order to prove proposed paint simulation method this paper compares the simulated and measured thickness. From this comparison this paper show that paint thickness distribution is predicted precisely by proposed spray paint simulation process.

• Journal of applied mathematics & informatics
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• v.18 no.1_2
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• pp.613-619
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• 2005

In this paper, we consider various types of convergence theorems of Choquet integral. We also show that the autocontinuity of finite fuzzy measure is equivalent to a convergence theorem with respect to convergence in measure.

• Proceedings of the KIEE Conference
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• 2000.07b
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• pp.828-830
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• 2000

This paper describes BIEM(Boundary Integral Equation Method) for computation of three dimensional electric field distribution and numerical method that an equivalent charge density is unknown variable. After computing numerically the surface charge distribution. the distribution of both potential and electric field are obtained. Finally, this numerical method is applied to the concentric sphere and the coaxial cylindrical model and numerical result is compared to the analytic solution.

• Journal of Distribution Science
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• v.18 no.12
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• pp.67-77
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• 2020

Purpose: Based on the author's adapted invariant choice, this study is to present the methodology and the calculation of the integral index of the digital component of the quality of life. By analyzing the digital indexes, the study is also to discuss distribution of ICT and the digital quality of life of the population of Kazakhstan and its regions. Research design, data, methodology: In this research, the method of calculation of integral assessment of the indicator was used, which indicates index constructs. The study analyzed objective secondary data for the period 2017-2019, which was the database from official websites of the Committee on Statistics of the Republic of Kazakhstan. Results: The study produced an integral code for assessing digital components of living standards of the population, consisting of five groups sub-indexes. Conclusions: Based on the provided analyses, we can confirm the existence of a significant difference of all the indicators of digital living standards of the population between the two leading cities: Almaty city and Nur-Sultan city. Furthermore we can deduce the differences of the examined indexes for other regions of Kazakhstan. Despite the rapid adoption of digital technologies, Kazakhstan still has significant digital gaps among cities indicating regional differences in the speed of implementation and distribution of digital technologies.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.12 no.6
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• pp.571-579
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• 1987

The integral equations used in electromagnetic fields theory can be used for scattering problems. We can obtain various characteristics of scatterer. Ie, power pattern, scattered field, by finding current distribution on the scatterer. In this paper, current distribution on polygonal cylinder is obtained using integral equations in 2 dimension. For numerical aualysis, the moment method is used with pulse function as a basis function and integral equation is used with extrapolation method, which saves cpu time.

• Journal for History of Mathematics
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• v.18 no.3
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• pp.107-117
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• 2005

In this paper, we introduce linear approximate Henstock integral equations that is slightly different from linear Henstock integral equations, and we also offer an example which shows that some integral equation has a solution in the sense of the approximate Henstock integral but does not have any solutions in the sense of the Henstock integral. Furthermore, we investigate the existence and uniqueness of solution of the approximate Henstock integral equation.

• Nuclear Engineering and Technology
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• v.49 no.1
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• pp.71-81
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• 2017

When an integral pressurized water reactor is operated under low power conditions, once-through steam generator group operation strategy is applied. However, group operation strategy will cause nonuniform coolant flow distribution at the core inlet and lower plenum. To help coolant flow mix more uniformly, a flow mixing chamber (FMC) has been designed. In this paper, computational fluid dynamics methods have been used to investigate the coolant distribution by the effect of FMC. Velocity and temperature characteristics under different low power conditions and optimized FMC configuration have been analyzed. The results illustrate that the FMC can help improve the nonuniform coolant temperature distribution at the core inlet effectively; at the same time, the FMC will induce more resistance in the downcomer and lower plenum.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.6
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• pp.1781-1791
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• 1991

For the cracked plate under transient temperature distribution, J-integral is expressed in the form of line integral by using convolution integral. The J$_{1}$ integral is calculated for a through line center cracked steel plate under thermal and mechanical loading conditions and the calculated values are in good agreement with previous results. The effect of inertia term on the J$_{1}$ integral is not negligible for a glass but for a steel. For the glass plate, the rates of J$_{1}$ integral value to time increase if the values of material properties such as specific heat, thermal conductivity, thermal diffusivity and Young`s modulus as well as crack length and temperature difference in cracked edge increase.