• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.35 no.2
• /
• pp.163-168
• /
• 2011

Robust optimization or reliability-based design optimization are some of the methodologies that are employed to take into account the uncertainties of a system at the design stage. For applying such methodologies to solve industrial problems, accurate and efficient methods for estimating statistical moments and failure probability are required, and further, the results of sensitivity analysis, which is needed for searching direction during the optimization process, should also be accurate. The aim of this study is to employ the function approximation moment method into the sensitivity analysis formulation, which is expressed as an integral form, to verify the accuracy of the sensitivity results, and to solve a typical problem of reliability-based design optimization. These results are compared with those of other moment methods, and the feasibility of the function approximation moment method is verified. The sensitivity analysis formula with integral form is the efficient formulation for evaluating sensitivity because any additional function calculation is not needed provided the failure probability or statistical moments are calculated.

• Proceedings of the Korea Multimedia Society Conference
• /
• 2002.05c
• /
• pp.320-324
• /
• 2002

본 연구에서는 모멘트와 뉴우턴법 및 모멘트와 할선법에 각각 기초한 고정점 알고리즘의 신경망 기반 독립성분분석 기법을 제안하였다. 여기서 뉴우턴법과 할선법은 각각 엔트로피에 기초한 목적함수의 근을 구하는 근사화 방법으로 빠른 경신을 위함이고, 모멘트는 근사화에 의한 역혼합행렬의 경신과정에서 발생하는 발진을 줄여 좀 더 빠른 학습을 위함이다. 제안된 기법을 256×256 픽셀(pixel)의 8개 지문영상으로부터 임의의 혼합행렬에 따라 발생되는 영상들을 각각 대상으로 시뮬레이션 한 결과, 모멘트와 할선법에 기초한 알고리즘이 모멘트와 뉴우턴에 기초한 알고리즘보다 우수한 분리성능과 빠른 학습속도가 있음을 확인하였다.

• Journal of the Korean Chemical Society
• /
• v.26 no.1
• /
• pp.18-23
• /
• 1982

A new method for calculation of the the dipole moments for trigonal bipyramidal complexes has been developed in this work. Illustrative calculations are performed on a few trigonal bipyramidal complexes with the approximate molecular orbital and the valence bond method. The calculated values of the dipole moments by the approximate molecular orbital method are very close to the experimental values. The calculated dipole moments may be used to predict the geometric structure of trigonal bipyramidal complexes.

• The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
• /
• v.2 no.4
• /
• pp.55-65
• /
• 1991

본고의 목적은 선형 전자장 문제의 해를 구하기 위한 일반적이 절차에 대해 간단히 소개하고, 이것을 전자장 문제에 적용시켜 보는 것이다. 이것은 원시 함수 방정식이 행렬 방정식으로 유도되기 때문에, 이러한 과 정을 행렬 방법이라고도 한다. 수학적인 과정으로 행렬 방정식을 얻는 것을 모멘트 법이라고 한다. 종종 이런 과정을 근사 기법이라고도 한다. 그러나 이것은 해가 극한에서 수렴할때에는 틀린 명칭이다. 주어진 정확도를 위해서는 다른 해들과는 달리 계산시간이 많이 요구되는데, 예로 무한 멱급수 전개를 들 수 있다. 물론, 이 방법 은 정확하게 근사해를 구하는데 사용된다. 즉, 이 근사해는 극한에서 수렴하지 않는다. 모멘트 법은 전자장 문제를 다루기 위한 일반적인 절차이지만, 해를 구하는 과정은 특별한 문제에도 폭넓게 적용할 수 있다. 본고에서는 이 방법의 과정을 설명할 뿐만 아니라, 전자장 문제를 다루는 예를 들었다. 이런 예들을 가지고 유사한 문제의 해를 구할 수 있으며, 다른 유형의 문제들에 대해서는 적절하게 확장, 또 는 일부 수정을 하여 해를 구할 수 있다. 전자장 부분에서 예를 들었지만, 이 과정은 모든 종류의 전자장 문제에 적용할 수 있다.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.31 no.4
• /
• pp.490-495
• /
• 2007

This research aims to examine accuracy and efficiency of the first four moments corresponding to mean, standard deviation, skewness, and kurtosis, which are estimated by a function approximation moment method (FAMM). In FAMM, the moments are estimated from an approximating quadratic function of a system response function. The function approximation is performed on a specially selected experimental region for accuracy, and the number of function evaluations is taken equal to that of the unknown coefficients for efficiency. For this purpose, three error-minimizing conditions are utilized and corresponding canonical experimental regions constructed accordingly. An interpolation function is then obtained using a D-optimal design and then the first four moments of it are obtained as the estimates for the system response function. In order to verify accuracy and efficiency of FAMM, several non-linear examples are considered including a polynomial of order 4, an exponential function, and a rational function. The moments calculated from various coefficients of variation show very good accuracy and efficiency in comparison with those from analytic integration or the Monte Carlo simulation and the experimental design technique proposed by Taguchi and updated by D'Errico and Zaino.

• Journal of the Korean Chemical Society
• /
• v.23 no.4
• /
• pp.198-205
• /
• 1979

A valence bond method of calculation of the dipole moments for octahedral $(M(III)0_3S_3)$ type complexes are developed, using $d^2sp^3 $hybrid orbitals of the central metal ions and the single basis set orbital of ligands. (M (III) =V (III), Cr (III), Mn (III), Fe (III), Co (III), Ru (III), Rh (III) and OS (III)). In this method the mixing coefficient of the valence basis sets for the central metal ion with the appropriate ligand orbitals is not required to be the same, differently from the molecular orbital method. The valence bond method is much more easier to calculate the dipole moments for octahedral complexes than the approximate molecular orbital method and the calculated results are also in the range of the experimental vaues.

• Journal of the Korean Magnetics Society
• /
• v.2 no.3
• /
• pp.193-199
• /
• 1992

희토류 영구자석, $Nd_2Fe_{14}B$ 화합물에 대한 자체충족적 국재밀도함수근사 전자 구조 계산을 수행하여 이 물질의 전자기적 물성을 연구하였다. LMTO(Linearized Muffin-Tin Orbital)에너지 띠 방법을 사용하여 상자성, 강자성상에서 구한 $Nd_2Fe_{14}B$ 화합물의 에너지 띠구조를 토대로 하여 자성을 포함한 제반 물성, 즉 희토류금속과 천이금속의 결합(bonding)효과, 전기적, 자기적 구조등을 고찰하였다. Boron 원자의 역학은 근접 Fe 원자와의 혼합 상호작용을 통하여 Fe의 원자의 자기모멘트를 많이 줄이는 효과를 주며 또한 구조 안정성에 기여한다는 결과를 얻었다. 강자성상에서의 Fe 원자들의 평균 자기모멘트는 약 2.15 ${\mu}B$로 계산되었는데 이중 Boron 원자로 부터 가장 멀리 떨어져 있으며 12개의 Fe 원자들로 둘러싸인 Fe(j2-site)원자가 가장 큰 값(2.7 ${\mu}B$)의 자기모멘트를 갖고 Boron 원자와의 혼합 상호작용이 가장 큰 Fe(e-site)원자가 가장 작은 값(1.9 ${\mu}B$)의 자기모멘트를 갖는다.

• Journal of the Korean Institute of Telematics and Electronics
• /
• v.22 no.5
• /
• pp.83-86
• /
• 1985

An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

• Journal of the Korean Chemical Society
• /
• v.26 no.5
• /
• pp.265-273
• /
• 1982

The effect of ${\pi}$ bonds on the calculated dipole moments for square planar and tetrahedral [M(II)$O_2S_2$]] type complexes has been investigated by two different approaches. One is the approximate molecular orbital method based on the assumption that the mixing coefficient CM of the valence basis sets for the central metal ion and the appropriate ligand orbitals is equal for all ${\sigma}$ and ${\pi}$ bonding molecular orbitals. The other is the more refined calculation based on the semiempirical LCAO-MO method. If ${\sigma}$ bonds only are assumed to be formed, the calculated dipole moments for square planar and tetrahedral complexes are lower than those of the experimental values. If the contribution of ${\pi}$ bonds to the calculated dipole moments are fully considered, the calculated dipole moments for both square planar and tetrahedral [M(II)$O_2S_2$]] type complexes are higher than the experimental values. However if ${\pi}$ bonds are assumed to be delocalzed, the calculated dipole moments for tetrahedral [M(II$O_2S_2$]] type complexes fall in the range of the experimental values, but those for square planar complexes deviate from the experimental values. These results suggest that [M(II)$O_2S_2$]] type complexes may have the tetrahedral structure in inert solvent solution. This structure is in agreement with the experimental one. The calculated dipole moments for tetrahedral [M(II)$O_2S_2$]] type complexes indicate that the contribution of ${\pi}$ bonds to the calculated dipole moments may not be neglected.

• Journal of the Korean Data and Information Science Society
• /
• v.27 no.5
• /
• pp.1119-1131
• /
• 2016

The Neyman-Scott Rectangular Pulses Model (NSRPM) is mainly used to construct hourly rainfall series. This model uses a modest number of parameters to represent the rainfall processes and underlying physical phenomena, such as the arrival of storms or rain cells. In NSRPM, the method of moments has often been used because it is difficult to know the distribution of rainfall intensity. Recently, approximated likelihood function for NSRPM has been introduced. In this paper, we propose a hierarchical model for applying a spatial structure to the NSRPM parameters using the approximated likelihood function. The proposed method is applied to summer hourly precipitation data observed at 59 weather stations (Korea Meteorological Administration) from 1973 to 2011.