• Title/Summary/Keyword: Index theory

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A GLOBALITY OF A HOPF BIFURCATION IN A FREE BOUNDARY PROBLEM

  • Ham, Yoon-Mee
    • Journal of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.395-405
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    • 1997
  • A globality of the Hopf bifurcation in a free boundary problem for a parabolic partial differential equation is investigated in this paper. We shall examine the global behavior of the Hopf critical eigenvalues and and apply the center-index theory to show the globality.

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A Bandwidth a Allocation Scheme based on Bankruptcy theory in Distributed Mobile Multimedia Network (분산 모바일 멀티미디어 통신망에서 파산이론을 적용한 대역폭 할당기법)

  • Jeong, Seong Soon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.4
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    • pp.246-251
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    • 2013
  • In this paper, it is proposed a bandwidth allocation Scheme based on Bankruptcy theory in Distributed Mobile Multimedia Network. The proposed scheme is guaranteed a minimum allocation. So, the minimum quality of each service are guaranteed. Therefore efficient and fairness network can be configured. The performance evaluation results indicate that the proposed scheme has good performance than other existing schemes by the fairness index and the Erlang blocking formular calculation. The minimum bandwidth of the proposed scheme can be applied to other techniques of a priority based bandwidth allocation scheme and dynamic bandwidth allocation scheme.

A comprehensive evaluation method study for dam safety

  • Jia, Fan;Yang, Meng;Liu, Bingrui;Wang, Jianlei;Gao, Jiaorong;Su, Huaizhi;Zhao, Erfeng
    • Structural Engineering and Mechanics
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    • v.63 no.5
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    • pp.639-646
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    • 2017
  • According to the multi-index system of dam safety assessment and the standard of safety, a comprehensive evaluation model for dam safety based on a cloud model is established to determine the basic probability assignment of the Dempster-Shafer theory. The Dempster-Shafer theory is improved to solve the high conflict problems via fusion calculation. Compared with the traditional Dempster-Shafer theory, the application is more extensive and the result is more reasonable. The uncertainty model of dam safety multi-index comprehensive evaluation is applied according to the two theories above. The rationality and feasibility of the model are verified through application to the safety evaluation of a practical arch dam.

A Determining Contingency Ranking Using the Weather Effects of the Power System (날씨효과를 고려한 전력계통의 상정사고 순위 결정)

  • 김경영;이승혁;김진오;김태균;전동훈;차승태
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.53 no.9
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    • pp.487-493
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    • 2004
  • The electric power industry throughout the world is undergoing considerable changes from the vertically integrated utility structure to the deregulated market. However, the deregulated electricity market is operated with respect to theory of economical efficiency, and therefore, the system operator requires data with fast contingency ranking for security of the bulk power system. This paper compares the weather dependant probabilistic risk index(PRI) with the system performance index for power flow in the IEEE-RTS. The system performance index for power flow presents the power system stability. This paper presents fast calculation method for determining contingency ranking using the weather dependant probabilistic risk index(PRI). The probabilistic risk index can be classified into the case of normal and adverse weather. This paper proposes calculation method using the probabilistic risk index in determining contingency ranking required for security under the deregulated electricity market.

An Analysis about determinants of Total Factor Productivity and Technical Efficiency in Manufacturing Industries : Non-parametric Malmquist Approach (제조업의 총요소생산성과 기술적효율성 결정요인분석 : 비모수적 맴퀴스트 생산성 지수에 의한 분석)

  • Jung, Kyung-Hee;Cho, Jai-Rip
    • Proceedings of the Safety Management and Science Conference
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    • 2009.04a
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    • pp.337-350
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    • 2009
  • Using the Malmquist productivity index, this paper compares the productivity of Korean manufacturing industries from 1999 to 2006. The malmquist productivity index has more advantages than previous methods such as solow model, endogenous growth theory. The malmquist productivity index can be decomposed productivity into two parts. The first part is an index of the technical efficiency change. This index has high value when the elements of production is used more efficiently. The second part is an index of technical change. This index has high value if the advent of new technology and process innovation occur.

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Analysis of Dielectric Rectangular Waveguide and Directional Coupler with Step Index Profile by the Modified Effective Index Method (수정된 실효 굴절율법에 의한 계단형 굴절률 분포를 갖는 광도파로와 방향성 결합기의 해석)

  • Kim, Chang Min;Jung, Byung Gi;Lee, Choang Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.4
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    • pp.522-528
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    • 1986
  • Based on the modified effective index method, analysis of dielectric rectangular waveguides and directional couplers are presented. Aside from the effective index concept of channel region, the equivalent index concept of cladding region is proposed. The error problem of eigenvalues, which has been experienced when the effective index method is used, is improved. Our approxiamtions give similar accuracy when compared with the results of other regorous approxiamtion techiniques. The advantage of the modified effective index methods is utilized by replacing the directional coupler with the equivalent slab guides, and the coupling constant is calculated by the coupled mode theory. The effectiveness of the equivalent index concept is positively confirmed.

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Study on the herbology test items in Korean medicine education using Item Response Theory (문항반응이론을 활용한 한의학 교육에서 본초학 시험문항에 대한 연구)

  • Chae, Han;Han, Sang Yun;Yang, GiYoung;Kim, Hyungwoo
    • The Korea Journal of Herbology
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    • v.37 no.2
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    • pp.13-21
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    • 2022
  • Objectives : The evaluation of academic achievement is pivotal for establishing accurate direction and adequate level of medical education. The purpose of this study was to firstly establish innovative item analysis technique of Item Response Theory (IRT) for analyzing multiple-choice test of herbology in the traditional Korean medicine education which has not been available for the difficulty of test theory and statistical calculation. Methods : The answers of 390 students (2012-2018) to the 14 item herbology test in college of Korean medicine were used for the item analysis. As for the multidimensional analysis of item characteristics, difficulty, discrimination, and guessing parameters along with item-total correlation and percentage of correct answer were calculated using Classical Test Theory (CTT) and IRT. Results : The validity parameters of strong and weak items were illustrated in multiple perspectives. There were 4 items with six acceptable index scores, and 5 items with only one acceptable index score. The item discrimination of IRT was found to have no significant correlation with difficulty and discrimination indices of CTT emphasizing attention of professionals of medical education as for the test credibility. Conclusion : The critical suggestions for the development, utilization and revision of test items in the e-learning and evidence-based Teaching era were made based on the results of item analysis using IRT. The current study would firstly provide foundation for upgrading the quality of Korean medicine education using test theory.

Shannon's Information Theory and Document Indexing (Shannon의 정보이론과 문헌정보)

  • Chung Young Mee
    • Journal of the Korean Society for Library and Information Science
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    • v.6
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    • pp.87-103
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    • 1979
  • Information storage and retrieval is a part of general communication process. In the Shannon's information theory, information contained in a message is a measure of -uncertainty about information source and the amount of information is measured by entropy. Indexing is a process of reducing entropy of information source since document collection is divided into many smaller groups according to the subjects documents deal with. Significant concepts contained in every document are mapped into the set of all sets of index terms. Thus index itself is formed by paired sets of index terms and documents. Without indexing the entropy of document collection consisting of N documents is $log_2\;N$, whereas the average entropy of smaller groups $(W_1,\;W_2,...W_m)$ is as small $(as\;(\sum\limits^m_{i=1}\;H(W_i))/m$. Retrieval efficiency is a measure of information system's performance, which is largely affected by goodness of index. If all and only documents evaluated relevant to user's query can be retrieved, the information system is said $100\%$ efficient. Document file W may be potentially classified into two sets of relevant documents and non-relevant documents to a specific query. After retrieval, the document file W' is reclassified into four sets of relevant-retrieved, relevant-not retrieved, non-relevant-retrieved and non-relevant-not retrieved. It is shown in the paper that the difference in two entropies of document file Wand document file W' is a proper measure of retrieval efficiency.

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A relative nielsen number in coincidence theory

  • Jang, Chan-Gyu;Lee, Sik
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.171-181
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    • 1995
  • Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

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A Study on the Performance Measurement Method for National Research and Development Projects (국가 연구개발(R&D) 투자의 성과 측정 방법 연구)

  • Yim, Sunjip;Kim, Sungcheol;Shin, Minsoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.7
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    • pp.4148-4156
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    • 2014
  • The aim of this paper was to suggest a national R&D performance measurement index from a new perspective. Government is trying to transit the R&D paradigm from 'catch-up' into 'lead- forward'. The problem of the existing performance evaluation was first identified, and the performance evaluation method of domestic & overseas research center & government was then reviewed. In particular, this study first referred to the creation & innovation indices, and focused on the national innovation and R&D ecosystem. Next, D'Aveni's Hypercompetition theory was applied to suggest a new performance measurement index, and AHP analysis interviewed from the domestic R&D performance evaluation experts was performed. This study contributes to the new national R&D performance index for the creative economy.