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

• Proceedings of the Korean Nuclear Society Conference
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• 1997.10a
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• pp.25-31
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• 1997

현대적 노달방법은 다차원 중성자 확산방정식을 풀기 쉽고 계산시간을 단축시킬 수 있도록 각 방향에 대하여 횡방향으로 적분하여 등가인 차원 수 만큼의 1차원 중성자 확산 방정식을 만들어 풀고 있다 이 과정에서 횡방향 누출 중성자 적분항을 적절히 근사해야함이 필수적인데 이로 인하여 계산의 정확도를 손상하게 될 수가 있다. 이러한 횡방향 누출 중성자 근사를 제거하여 계산의 정확도를 향상시킨 것이 노달 해석함수 전개법(Analytic Function Expansion Nodal Method)이다. 그러나 이 방법은 기존의 노달 방법 보다는 계산시간이 다소 많이 소요되는 단점이 있었다. 본 논문에서는 소격격자 재균형 가속법(Coarse-Mesh Rebalance Acceleration Method)을 노달 해석함수 전개법에 적용하면 계산의 정확도는 그대로 유지되면서도 속도는 크게 향상시킬 수 있음을 보여 준다.

• Journal of Advanced Navigation Technology
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• v.9 no.1
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• pp.56-60
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• 2005

To calculate the probability of bit error of UWB communication systems, the exact expression of multiple access interference is essential. So far, in many researches, MAI has been modeled by the Gaussian Approximation, which leads to the huge errors. And there are some tries to obtain the exact model fot the MAI but they have some problems such as long calculation time. We introduce the simple expression to calculate the probability of error of an UWB-TH system with BPSK. The multiple access interference is explained by the characteristic function method combined with the Gaussian approximation. It allows us to easily and fast calculate the bit error rate of an UWB-TH system.

• The Korean Journal of Applied Statistics
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• v.28 no.2
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• pp.281-288
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• 2015

In this paper, we study an approximate procedure to evaluate a penalized maximum likelihood estimator (MLE) for a mixed effects model. The procedure approximates the Hessian matrix of the penalized MLE with a structured sparse matrix or an arrowhead type matrix to speed its computation. In this paper, we numerically investigate the gain in computation time as well as approximation error from the considered approximation procedure.

• Journal of KIISE:Computing Practices and Letters
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• v.16 no.6
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• pp.742-746
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• 2010

In this paper, we propose new randomness testing methods based on approximate periods in order to improve the previous randomness testing method using exact pattern matching. Finding approximate periods of random sequences enables us to search similarly repeated parts, but it has disadvantages since it takes long time. In this paper we propose randomness testing methods whose time complexity is O($n^2$) by reducing the time complexity of computing approximate periods from O($n^3$) to O($n^2$). Moreover, we perform some experiments to compare pseudo random number generated by AES cryptographic algorithms and true random number.

• Journal of KIISE:Information Networking
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• v.30 no.3
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• pp.416-423
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• 2003

This paper proposes a continuous-time queuing model of a shared-buffer packet switch and an approximate algorithm. N arrival processes have heterogeneous busty traffic characteristics. The arrival processes are modeled by Coxian distribution with order 2 that is equivalent to Interruped Poisson Process. The service time is modeled by Erlang distribution with r stages. First the approximate algorithm performs the aggregation of N arrival processes as a single state variable. Next the algorithm discompose the queuing system into N subsystems which are represented by aggregated state variables. And the balance equations based on these aggregated state variables are solved for by iterative method. Finally the algorithm is validated by comparing the results with those of simulation.

• Proceedings of the Korean Nuclear Society Conference
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• 1995.05a
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• pp.1029-1034
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• 1995

IAEA(International Atomic Energy Agency, 국제원자력기구)에서는 사찰활동 수행시, 비복원추출을 기술하는 초기 하분포(hypergeometric distribution) 대신 복원추출을 기술하는 이항분포(binomial distribution)를 사용하여 표본크기 (sample site)를 계산하여 최대 3가지 검증방법들에 할당한다. 본 연구에서는 사찰표본할당과 관련하여 PC사용이 요구되는 반복할당법인 초기하할당법, 개선된 이항할당법, 그리고 표준할당법과 포켓계산기에서 사용 가능한 근사 할당법인 개선된 이항할당근사법과 표준이항할당근사법을 비교 검토하였다.

• Proceedings of the Korean Information Science Society Conference
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• 2005.11b
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• pp.67-69
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• 2005

고차원 공간상의 벡터들 간의 유클리드 거리를 빠르게 계산하는 것은 멀티미디어 정보 검색을 위하여 매우 중요하다. 본 논문에서는 고차원 공간상의 두 벡터들 간의 유클리드 거리를 효과적으로 근사하는 방법을 제안한다. 이러한 근사를 위하여 두 벡터들의 놈(norm)을 사용하는 방법이 기존에 제안된 바 있다. 그러나 기존의 방법은 두 벡터간의 각도 성분을 무시하므로 근사 오차가 매우 커지는 문제점을 가진다. 본 연구에서 제안하는 방법은 기준 벡터라 부르는 별도의 벡터를 이용하여 추정된 두 벡터간의 각도 성분을 유클리드 거리 근사에 사용한다. 이 결과, 각도 성분을 무시하는 기존의 방법과 비교하여 근사 오차를 크게 줄일 수 있다. 또한, 제안된 방법에 의한 근사 값은 유클리드 거리 보다 항상 작다는 것을 이론적으로 증명하였다. 이는 제안된 방법으로 멀티미디어 정보 검색을 수행할 때 착오 기각이 발생하지 않음을 의미하는 것이다. 다양한 실험에 의한 성능 평가를 통하여 제안하는 방법의 우수성을 규명한다.

• Tunnel and Underground Space
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• v.31 no.6
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• pp.480-493
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• 2021

Since the generalized Hoek-Brown criterion (GHB) provides an efficient way of identifying its strength parameter values with the consideration of in-situ rock mass condition via Geological Strength Index (GSI), this criterion is recognized as one of the standard rock mass failure criteria in rock mechanics community. However, the nonlinear form of the GHB criterion makes its mathematical treatment inconvenient and limits the scope of its application. As an effort to overcome this disadvantage of the GHB criterion, the explicit approximate analytical equations for the minimum principal stress, which is associated with the maximum principal stress at failure, are formulated based on the Taylor polynomial approximation of the original GHB criterion. The accuracy of the derived approximate formula for the minimum principal stress is verified by comparing the resulting approximate minimum principal stress with the numerically calculated exact values. To provide an application example of the approximate formulation, the equivalent friction angle and cohesion for the expected plastic zone around a circular tunnel in a GHB rock mass are calculated by incorporating the formula for the approximate minimum principal stress. It is found that the simultaneous consideration of the values of mi, GSI and far-field stress is important for the accurate calculation of equivalent Mohr-Coulomb parameter values of the plastic zone.

• Journal of the Korean Chemical Society
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• v.47 no.1
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• pp.31-37
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• 2003

The expanded uncertainties calculated by the application of GUM -approximation and Monte-Carlo simulation were compared about the model equation of one-point calibration which is widely used for the measurements and chemical analysis. For the comparisons, we assumed a set of artificial data at the various level of concentration and dispersion of t or normal distribution. Mistakes of more then 50 % was revealed at the values calculated by GUM-approximation in comparison with those of Monte-Carlo simulation because of the excess dispersion from t-distribution and non-linearity by division in the equation. In contrary, the mistake of calculation due to non-linearity of the equation was not observed in the level of detection limits with the equation of one-point calibration, because of the relatively large values of uncertainty in response.