• 대한수학회지
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• 제41권1호
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• pp.209-229
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• 2004

Let $\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha},\;z\;{\in}\;{\mathbb{C}}^n$ be a unimodular m-homogeneous polynomial in n variables (i.e. $$\mid$s_{\alpha}$\mid$\;=\;1$ for all multi indices $\alpha$), and let $R\;{\subset}\;{\mathbb{C}}^n$ be a (bounded complete) Reinhardt domain. We give lower bounds for the maximum modules $sup_{z\;{\in}\;R\;$\mid$\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha}$\mid$$, and upper estimates for the average of these maximum moduli taken over all possible m-homogeneous Bernoulli polynomials (i.e. $s_{\alpha}\;=\;{\pm}1$ for all multi indices $\alpha$). Examples show that for a fixed degree m our estimates, for rather large classes of domains R, are asymptotically optimal in the dimension n.

• Asian Journal of Innovation and Policy
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• 제8권3호
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• pp.343-361
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• 2019

The Practical Guide of Technology Valuation (the guide) by the Ministry of Industry, Trade and Energy is dominant in technology valuation in the public sector in Korea. The guide was released in 2011 and revised every three years. However, there are several guidelines or manuals for technology valuation issued by other agencies under different ministries. This paper compares the several guidelines for technology valuation and figures out the similarity and differences, from the view of the US and international standards of valuation. The first aspect found is that the guide is evolving toward the basic principles of valuation. Second, all the guidelines should comply with the guide but have sector-specific characteristics in methods, variables and data. Third, although the guide recommends only two valuation methods, some guidelines introduce various other methods. Fourth, the methods are still too complex and having unnecessary ingredients. Finally, this paper suggests further development of the guide and other guidelines.

• 수면정신생리
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• 제6권1호
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• pp.26-31
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• 1999

"Attention" is not defined sufficiently. This term incorporates several dimensions or complex information processes such as alertness, spatial distribution, focused attention, sustained attention, divided attention and supervisory attentional control. In practice, however, various aspects of attention cannot be assessed separately with a single test. Moreover, a particular test is never assessing attention only, because the several intervening variables may influence the attentional component. Therefore, one can only assess a certain aspect of human behavior with special interest for its attentional component. This paper attempted to clarify various concepts of attention, reviewed signal detection theories with receiver operating characteristic(ROC) curves, and listed practical methods for assessment of attention.

• Coupled systems mechanics
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• 제11권2호
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• pp.167-198
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• 2022

In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

• 응용통계연구
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• 제35권6호
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• pp.703-724
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• 2022

다변량 경시적 자료 분석은 반복 측정된 자료에 존재하는 상관관계를 올바르게 추정하면서 자료를 분석해야 한다. 경시적 연구에서는 다변량 경시적 자료가 주로 생성되지만, 기존 통계적 모형은 대부분 단변량으로 분석되어 다변량 경시적 자료에 존재하는 복잡한 상관관계를 제대로 설명하지 못하게 된다. 따라서 본 논문에서는 복잡한 상관관계를 설명하기 위해 공분산 행렬을 모형화하는 다양한 방법에 대해 고찰한다. 그 중 수정된 콜레스키 분해, 수정된 콜레스키 블록분해와 초구분해를 살펴본다. 그리고 일반화 자기회귀모수 행렬이 가지는 희박성 문제를 해결하기 위해 베이지안 방법을 이용하여 청소년 패널 데이터를 분석한다. 청소년 패널 데이터는 다변량 경시적 자료이며, 반응 변수로는 학교 적응도, 학업 성취도, 휴대전화 의존도를 고려한다. 자기 상관 구조와 혁신 표준 편차 구조를 달리 가정하여 여러 모형을 비교한다. 가장 적합한 모형에 대해 학교 적응도와 학업 성취도에 대해 모든 설명 변수가 유의미하며, 휴대전화 의존도가 반응 변수일 때 사교육 시간을 제외한 모든 설명 변수가 유의미한 것으로 나타난다.

• Industrial Engineering and Management Systems
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• 제10권4호
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• pp.272-278
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• 2011

Decision tree as a classification tool is being used successfully in many areas such as medical diagnosis, customer churn prediction, signal detection and so on. The main advantage of decision tree classifiers is their capability to break down a complex structure into a collection of simpler structures, thus providing a solution that is easy to interpret. Since decision tree is a top-down algorithm using a divide and conquer induction process, there is a risk of reaching a local optimal solution. This paper proposes a procedure of optimally determining thresholds of the chosen variables for a decision tree using an adaptive particle swarm optimization (APSO). The proposed algorithm consists of two phases. First, we construct a decision tree and choose the relevant variables. Second, we find the optimum thresholds simultaneously using an APSO for those selected variables. To validate the proposed algorithm, several artificial and real datasets are used. We compare our results with the original CART results and show that the proposed algorithm is promising for improving prediction accuracy.

• Kyungpook Mathematical Journal
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• 제64권1호
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• pp.133-159
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• 2024

In a previous work we studied generalized Stirling numbers of the second kind S^{(a₂,b₂,p₂)}_a1,b1 (p₁, k), where a₁, a₂, b₁, b₂ are given complex numbers, a₁, a₂ ≠ 0, and p₁, p₂ are non-negative integers given. In this work we use these generalized Stirling numbers to define Bernoulli polynomials in two variables B_p1,p2 (x₁, x₂), and Euler polynomials in two variables E_p1p2 (x₁, x₂). By using results for S^{(1,x₂,p₂)}_1,x1 (p₁, k), we obtain generalizations, to the bivariate case, of some well-known properties from the standard case, as addition formulas, difference equations and sums of powers. We obtain some identities for bivariate Bernoulli and Euler polynomials, and some generalizations, to the bivariate case, of several known identities for Bernoulli and Euler numbers and polynomials of the standard case.

• 한국전산구조공학회논문집
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• 제33권6호
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• pp.401-409
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• 2020

확률론적 지진취약도 평가는 구조물 혹은 기기의 손상확률을 각 취약도 변수별 조합을 통해 이루어진다. 지진취약도로부터 구해지는 2개 이상 기기의 동시손상확률 계산은 기존에는 각 기기의 손상확률을 독립으로 가정해 왔다. 하지만 기기별 손상확률에 상관성이 있으며, 이를 평가한 결과 상관성에 따라 동시손상확률이 변화할 수 있는 결과를 보였다. 이 지진상관성을 무시하면 비보수적인 결과가 나오고 따라서 이를 고려해서 계산되어야 한다. 이 연구에서는 지진상관계수를 해석적으로 평가하기 위해 몇 가지 확률 변수를 선정하여 각 변수별로 혹은 통합하여 평가하고 그 차이를 비교했다. 그리고 단순화된 모델과, 복잡한 모델에 대한 상관계수 차이도 비교하였다. 이들 방법에 따른 상관계수의 결과와 차이를 분석했다. 그 결과 각 변수별로 평가하는 것과 통합하여 평가할 때 변수별 영향의 차이에 따라 상관성이 변화함을 확인하였고, 모델이 단순할수록 상관성이 높아짐을 확인하였다.

• 동의생리병리학회지
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• 제29권2호
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• pp.127-132
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• 2015

In order to grasp the clear concepts and variables to treat Shanghan diseases which has complex meaning by each medical literature, several concepts and analytic method of structuralism from early to late stage encompassing Saussure and Derrida were used. Main concepts are langue and parole, signifiant and signifie, syntagme and paradigme, denotation and connotation, synchronie and diachronie, identity of structure and differance etc. and methods are substituting these concepts to historical Shanghan theories from Zhongjing to Ming-Qing dynasty and comparisons of synchronie about their era. Essential qualities of Shanghan diseases are pathologic phenomena under the order of unification of nature and man formed through concrescence between individual human body and geo-climatico-socio-cultural environmental conditions, neither injuries by cold pathogen nor five types of exopathogenic febrile diseases. The former environmental elements can be inferred from general traits of desires and public pathological aspects of social members, and the latter personal factors from corresponding features to those pathogenic variables. In addition, the concepts of Shanghan disease are added successively up to now via Jin-Yuan's four great masters and Wenbing masters, and thus the new concepts of denotation became another connotation obtaining new signifiant. In this way, for the treatment of Shanghan diseases, new theories should be made for ranging prescription over the wenbing field; reflecting not only climatical variables but also each patient's physio-pathological features and sociocultural variables. Thereby an appropriate and reasonable therapeutical systems can be designed and can guide research direction hereafter.

• Journal of the Korean Data and Information Science Society
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• 제22권5호
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• pp.877-884
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• 2011

의사결정나무는 데이터마이닝의 대표적인 알고리즘으로서, 의사결정 규칙을 도표화하여 관심대상이 되는 집단을 몇 개의 소집단으로 분류하거나 예측을 수행하는 방법이다. 일반적으로 의사결정나무의 모형 생성 시, 입력 변수의 수가 많을 경우 생성된 의사결정모형은 복잡한 형태가 될 수 있고, 모형 탐색 및 분석에 있어 어려움을 겪기도 한다. 이때 입력변수들 간의 내재적인 관련성은 없으나, 외적 변수에 의하여 각 변수가 우연히 어떤 다른 변수와 연결됨으로써 관련성이 있는 것으로 나타나는 것을 종종 볼 수 있다. 이에 본 논문에서는 의사결정나무 생성 시, 입력 변수에 대한 외적 관계를 파악할 수 있는 다중외적연관성규칙을 이용하여 의사결정나무 생성에 불필요한 입력변수를 제거하는 방법을 제시하고 그 효율성을 파악하기 위하여 실제 자료에 적용하고자 한다.