• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.365-380
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• 2012

Non-negative matrix factorization (NMF) is a very efficient method to explain the relationship between functions for finding basis information of multivariate nonnegative data. The multiplicative update (MU) algorithm is a popular approach to solve the NMF problem, but it fails to approach a stationary point and has inner iteration and zero divisor. So the elementwisely alternating projected gradient (eAPG) algorithm was proposed to overcome the defects. In this paper, we use the fact that the equilibrium point is stable to prove the convergence of the eAPG algorithm. By using a classic model, the equilibrium point is obtained and the invariant sets are constructed to guarantee the integrity of the stability. Finally, the convergence conditions of the eAPG algorithm are obtained, which can accelerate the convergence. In addition, the conditions, which satisfy that the non-zero equilibrium point exists and is stable, can cause that the algorithm converges to different values. Both of them are confirmed in the experiments. And we give the mathematical proof that the eAPG algorithm can reach the appointed precision at the least iterations compared to the MU algorithm. Thus, we theoretically illustrate the advantages of the eAPG algorithm.

• 한국학교수학회논문집
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• 제6권2호
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• pp.87-99
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• 2003

본 논문에서는 제 7차 교과과정에 의하여 새로운 선택과목으로 선정된 이산수학의 효율적인 교수방안을 논의한다. 이를 위하여 이산수학의 가장 핵심적인 내용인 알고리즘의 개발 필요성 및 목적 등을 강조하기 위하여 행렬 곱셈에 관한 전통적인 방법의 문제점을 분석하며 또한 효율적인 행렬 곱셈 알고리즘을 분석한다.

• Journal of Microbiology and Biotechnology
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• 제16권3호
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• pp.399-407
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• 2006

In this study, an electrical conductive carbon fiber was used as a biofilter matrix to electrochemically improve the biofilter function. A bioreactor system was composed of carbon fiber (anode), titanium ring, porcelain ring, inorganic nutrient reservoir, and VOC reservoir. Electric DC power of 1.5 volt was charged to the carbon fiber anode (CFA) to induce the electrochemical oxidation potential on the biofilter matrix, but not to the carbon fiber (CF). We tested the effects of electrochemical oxidation potential charged to the CFA on the biofilm structure, the bacterial growth, and the activity for metabolic oxidation of VOCs to $CO_2$, According to the SEM image, the biofilm structure developed in the CFA appeared to be greatly different from that in the CF. The bacterial growth, VOCs degradation, and metabolic oxidation of VOCs to $CO_2$ in the CFA were more activated than those in the CF. On the basis of these results, we propose that the biofilm structure can be improved, and the bacterial growth and the bacterial oxidation activity of VOCs can be activated by the electrochemical oxidation potential charged to a biofilter matrix.

• Structural Engineering and Mechanics
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• 제45권1호
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• pp.95-110
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• 2013

In the recent decade, practical of wavelet technique is being utilized in various domain of science. Particularly, engineers are interested to the wavelet solution method in the time series analysis. Fundamentally, seismic responses of structures against time history loading such as an earthquake, illustrates optimum capability of systems. In this paper, a procedure using particularly discrete Haar wavelet basis functions is introduced, to solve dynamic equation of motion. In the proposed approach, a straightforward formulation in a fluent manner is derived from the approximation of the displacements. For this purpose, Haar operational matrix is derived and applied in the dynamic analysis. It's free-scaled matrix converts differential equation of motion to the algebraic equations. It is shown that accuracy of dynamic responses relies on, access of load in the first step, before piecewise analysis added to the technique of equation solver in the last step for large scale of wavelet. To demonstrate the effectiveness of this scheme, improved formulations are extended to the linear and nonlinear structural dynamic analysis. The validity and effectiveness of the developed method is verified with three examples. The results were compared with those from the numerical methods such as Duhamel integration, Runge-Kutta and Wilson-${\theta}$ method.

• 정보관리학회지
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• 제24권4호
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• pp.173-189
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• 2007

정보시스템을 사용하는 이용자들의 만족지수를 측정함으로써 시스템 투자 대비 효과를 정성적으로 측정할 수 있을 뿐만 아니라 향후 시스템의 효율성 및 시스템 개선노력을 위한 방안도 도출할 수 있다. 본 연구에서는 정보시스템의 이용자만족지수 모델을 제안하고 대표적인 정보시스템들의 이용자만족지수를 측정함으로써 이들 시스템 운영자 및 관리자들에게 시스템 만족도 제고 및 효율성 향상을 위한 개선방안을 제시하고자 한다. 본 연구의 수행을 위해 대표적인 정보시스템들을 대상으로 웹 설문조사를 실시하였으며, 분석결과를 바탕으로 만족지수를 산출하고 Matrix 분석을 통해 시스템 개선방안을 도출하였다.

• Structural Engineering and Mechanics
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• 제21권5호
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• pp.539-551
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• 2005

Finite elements based on isoparametric formulation are known to suffer spurious stiffness properties and corresponding stress oscillations, even when care is taken to ensure that completeness and continuity requirements are enforced. This occurs frequently when the physics of the problem requires multiple strain components to be defined. This kind of error, commonly known as locking, can be circumvented by using reduced integration techniques to evaluate the element stiffness matrices instead of the full integration that is mathematically prescribed. However, the reduced integration technique itself can have a further drawback - rank deficiency, which physically implies that spurious energy modes (e.g., hourglass modes) are introduced because of reduced integration. Such instability in an existing stiffness matrix is generally detected by means of an eigenvalue test. In this paper we show that a knowledge of the dimension of the solution space spanned by the column vectors of the strain-displacement matrix can be used to identify the instabilities arising in an element due to reduced/selective integration techniques a priori, without having to complete the element stiffness matrix formulation and then test for zero eigenvalues.

• Advanced Composite Materials
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• 제16권4호
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• pp.335-347
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• 2007

Green composites composed of long maize fibers and poly $\varepsilon$-caprolactone (PCL) biodegradable polyester matrix were manufactured by the thermo-mechanical processing termed as 'Sequential Molding and Forming Process' that was developed previously by the authors' research group. A variety of processing parameters such as fiber area fraction, molding temperature and forming pressure were systematically controlled and their influence on the tensile properties was investigated. It was revealed that both tensile strength and elastic modulus of the composites increase steadily depending on the increase in fiber area fraction, suggesting a general conformity to the rule of mixtures (ROM), particularly up to 55% fiber area fraction. The improvement in tensile properties was found to be closely related to the good interfacial adhesion between the fiber and polymer matrix, and was observed to be more pronounced under the optimum processing condition of $130^{\circ}C$ molding temperature and 10 MPa forming pressure. However, processing out of the optimum condition results in a deterioration in properties, mostly fiber and/or matrix degradation together with their interfacial defect as a consequence of the thermal or mechanical damages. On the basis of microstructural observation, the cause of strength degradation and its countermeasure to provide a feasible composite design are discussed in relation to the optimized process conditions.

• 지질공학
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• 제6권2호
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• pp.83-93
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• 1996

최대우도법 (maximum likelihood method)을 이용하여 정류상태의 지하수위 자료로 부터 불균질성과 비등방성을 가지는 대수층의 수리상수를 추정하는 반전모델을 개발하였다. 반전모델을 이용하여 추정된 수리상수의 추정오차를 분석하기 위하여 Fisher information matrix 분석법을 도입하고, 수리상수의 추정을 위한 Parameterization의 방법으로 소유동영역화 방법 (zonation method)을 사용하였다. 개발된 반전모델을 이용하여 세가지 경우에 대해서 대구지역의 투수량계수를 추정하였다. 또한, 대구지역의 지하 수함양률을 각 소유동영역의 값으로 추정하였다. 각 추정에서 수반되는 추정오차의 특성을 Fisher information matrix를 구하여 사펴보았다.

• 공학교육연구
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• 제16권1호
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• pp.35-44
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• 2013

The purpose of this study is to develop an examination system for an e-learning quality manager's certificate which is composed of subjects, criteria, method of examination. The task model of e-learning quality manager was modify and task/knowledge/skill matrix was developed to design the examination system through conferences of DACUM committee and an advisory committee. And a survey was carry out to analyze validity of contents of the examination system. The major findings were as the follow: First, occupational specification, job specification, task specification and task/knowledge/skill matrix were developed. Second, examination subjects were developed based on task/knowledge/skill matrix, which were "Basis of e-Learning and plan of service", "Expulsion and management of e-learning infrastructure", "Development of e-learning contents", "Operation and evaluation of e-learning service". Third, the criteria and methods of examination for an e-learning quality manager's certificate were developed, which is composed of test type, the sum of test items, test time and acceptable standards.

• 한국세라믹학회지
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• 제40권10호
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• pp.1015-1020
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• 2003

$\rho$-알루미나 결합 진동성형용 알루미나 캐스터블 내화물의 매트릭스부분과 용응 슬래그와의 침식거동을 젭센(Jabsen)이 주장한 이론을 기초로 하고 킹거리(Kingery)가 제안한 반응 기구를 통해 규명하였다. 매트릭스 부분의 초기침식이 분자확산거동에 의하여 지배되며, 아레니우스 관계식과 잘 일치하고 있어 온도의존성 활성화 과정으로 받아들 수 있다. 슬래그와 경계층의 Ca 농도차이가 23.2%로서 경계층을 형성하기 위한 물질이동의 구동력이 되었다. 매트릭스의 침식정도가 뮬라이트 소결체보다 심하지만 킹거리의 침식반응 기구와 잘 일치하고 있어 캐스터블의 수명예측이 가능하다.