• 제목/요약/키워드: auxiliary problem

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A Study on the Convergency Property of the Auxiliary Problem Principle

  • Kim, Balho-H.
    • Journal of Electrical Engineering and Technology
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    • 제1권4호
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    • pp.455-460
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    • 2006
  • This paper presents the convergency property of the Auxiliary Problem Principle when it is applied to large-scale Optimal Power Flow problems with Distributed or Parallel computation features. The key features and factors affecting the convergence ratio and solution stability of APP are also analyzed.

원과 관련된 문제에서 각과 호의 관점으로의 접근 (A Approaches to the Problem in connection with the Circle in Point of View of the Angle and Arc)

  • 강정기
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권4호
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    • pp.471-484
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    • 2012
  • It is not easy to find the auxiliary line to solve the problem in connection with the circle, where it is the problem finding the central angle or angle at the circumference in a circle. The purpose of the study is to give an aid for this difficulties. The angle at the circumference is closely related to the arc. And so we looked into the problem in connection with the angle at the circumference in point of view of the arc. We have got the following the results. It is not necessary to draw the auxiliary line when solving the problem in connection with the angle at the circumference in point of view of the arc. And we can find the reason to draw the specific auxiliary in point of view of the arc. We hope that the results of research are given aids to a lot of students.

보조전원장치의 단락부하 차단기 개방을 위한 제어방법 (Control Method for Cut-out of Shorted Load in the Auxiliary Power Supply)

  • 황광철;조국춘;최종묵
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 추계학술대회 논문집
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    • pp.249-254
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    • 1998
  • This paper describes the control methods to cut out the NFB(No Fuse Breaker) of shorted load in the auxiliary power supply, Generally, when the short-circuit occurs in the load of the auxiliary power supply, the auxiliary power supply stops the operation according to the protection sequence. Finally, the other auxiliary power supply stops the operation by the same fault, To resolve this problem, we suggest the control method to trip the NFB of shorted load. That is, when the short circuit occurs, the controller changes control mode from voltage mode to current mode without the operation of output contactor(SIVK) in the auxiliary power supply. The auxiliary power supply provides a large current for the short-circuit load. After some time, the NFB of the short-circuit load is cut off and the auxiliary power supply Provides stable voltage for the loads except for the short-circuit load.

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A Dual Problem of Calibration of Design Weights Based on Multi-Auxiliary Variables

  • Al-Jararha, J.
    • Communications for Statistical Applications and Methods
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    • 제22권2호
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    • pp.137-146
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    • 2015
  • Singh (2013) considered the dual problem to the calibration of design weights to obtain a new generalized linear regression estimator (GREG) for the finite population total. In this work, we have made an attempt to suggest a way to use the dual calibration of the design weights in case of multi-auxiliary variables; in other words, we have made an attempt to give an answer to the concern in Remark 2 of Singh (2013) work. The same idea is also used to generalize the GREG estimator proposed by Deville and S$\ddot{a}$rndal (1992). It is not an easy task to find the optimum values of the parameters appear in our approach; therefore, few suggestions are mentioned to select values for such parameters based on a random sample. Based on real data set and under simple random sampling without replacement design, our approach is compared with other approaches mentioned in this paper and for different sample sizes. Simulation results show that all estimators have negligible relative bias, and the multivariate case of Singh (2013) estimator is more efficient than other estimators.

문장제의 보조문항이 초등학생의 문제해결과 수학적 사고에 미치는 영향 (Influence of the Auxiliary Questions of Word Problems on the Problem Solving and Mathematical Thinking of Elementary School Students)

  • 임영빈
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제23권2호
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    • pp.73-85
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    • 2020
  • 본 연구는 학생들에게 제시되는 문장제의 보조문항이 학생들의 문제해결 전략과 수학적 사고에 미치는 영향을 분석하고 교육적 시사점을 논하기 위하여 수행되었다. 분석결과, 보조문항을 통하여 문제해결 전략을 안내하는 문제는 그렇지 않은 경우에 비해 여러 수준의 학생들에게 효율적인 문제해결 전략을 채택하도록 유도함으로써 상대적으로 균일한 수학적 사고를 발현 시킬 수 있었다. 그리고 중하위권 학생들이 포기하지 않고 문제를 해결하기 위한 실마리를 떠올리는데 도움을 주었다. 다만 보조문항을 통하여 전략을 제공하는 문제는 학생들에게 유추적 사고를 유발시켰는지에 대한 여부가 불분명하였다. 아울러 제공된 문제의 영향으로 스스로 떠올릴 수 있었던 전략을 채택하지 못하는 경우가 발생하였다. 이에 반해 보조문항을 최소화하여 기본적인 권고만을 제공하는 문장제 해결 상황에서 상위권 학생들의 경우, 다양한 전략을 구상해낼 수 있었지만 중하위권 학생들은 쉽게 포기하거나 답을 구하지 못하는 경우가 상대적으로 많았다.

수학 교수-학습에서의 동양 수학사 활용에 관한 연구 (A Study on The Application of Oriental History of Mathematics in School mathematics)

  • 양성호;이경언
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권1호
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    • pp.15-37
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    • 2010
  • In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

Auxiliary domain method for solving multi-objective dynamic reliability problems for nonlinear structures

  • Katafygiotis, Lambros;Moan, Torgeir;Cheungt, Sai Hung
    • Structural Engineering and Mechanics
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    • 제25권3호
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    • pp.347-363
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    • 2007
  • A novel methodology, referred to as Auxiliary Domain Method (ADM), allowing for a very efficient solution of nonlinear reliability problems is presented. The target nonlinear failure domain is first populated by samples generated with the help of a Markov Chain. Based on these samples an auxiliary failure domain (AFD), corresponding to an auxiliary reliability problem, is introduced. The criteria for selecting the AFD are discussed. The emphasis in this paper is on the selection of the auxiliary linear failure domain in the case where the original nonlinear reliability problem involves multiple objectives rather than a single objective. Each reliability objective is assumed to correspond to a particular response quantity not exceeding a corresponding threshold. Once the AFD has been specified the method proceeds with a modified subset simulation procedure where the first step involves the direct simulation of samples in the AFD, rather than standard Monte Carlo simulation as required in standard subset simulation. While the method is applicable to general nonlinear reliability problems herein the focus is on the calculation of the probability of failure of nonlinear dynamical systems subjected to Gaussian random excitations. The method is demonstrated through such a numerical example involving two reliability objectives and a very large number of random variables. It is found that ADM is very efficient and offers drastic improvements over standard subset simulation, especially when one deals with low probability failure events.

Auxiliary Stacked Denoising Autoencoder based Collaborative Filtering Recommendation

  • Mu, Ruihui;Zeng, Xiaoqin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권6호
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    • pp.2310-2332
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    • 2020
  • In recent years, deep learning techniques have achieved tremendous successes in natural language processing, speech recognition and image processing. Collaborative filtering(CF) recommendation is one of widely used methods and has significant effects in implementing the new recommendation function, but it also has limitations in dealing with the problem of poor scalability, cold start and data sparsity, etc. Combining the traditional recommendation algorithm with the deep learning model has brought great opportunity for the construction of a new recommender system. In this paper, we propose a novel collaborative recommendation model based on auxiliary stacked denoising autoencoder(ASDAE), the model learns effective the preferences of users from auxiliary information. Firstly, we integrate auxiliary information with rating information. Then, we design a stacked denoising autoencoder based collaborative recommendation model to learn the preferences of users from auxiliary information and rating information. Finally, we conduct comprehensive experiments on three real datasets to compare our proposed model with state-of-the-art methods. Experimental results demonstrate that our proposed model is superior to other recommendation methods.

휴리스틱 외판원 문제 알고리즘을 이용한 노천광산 보조 작업 차량의 최적 이동경로 분석 (Optimal Routes Analysis of Vehicles for Auxiliary Operations in Open-pit Mines using a Heuristic Algorithm for the Traveling Salesman Problem)

  • 박보영;최요순;박한수
    • 터널과지하공간
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    • 제24권1호
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    • pp.11-20
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    • 2014
  • 본 연구에서는 노천광산에서 다수의 작업 지점들을 경유하며 광산 전역을 순회해야하는 보조 작업 차량의 최적 이동경로를 분석하였다. Dijkstra's 알고리즘을 사용했던 기존의 연구들과 달리 휴리스틱 외판원 문제 알고리즘을 이용한 결과 다수의 작업지점들의 방문 순서까지 고려하여 보조 작업 차량의 최적 이동경로를 분석할 수 있다. 인도네시아 파시르 석탄 노천광산의 로또 채광장을 대상으로 광산 전역을 정차 없이 순회하는 보조작업 차량의 최적 이동경로를 분석하였다. 그 결과 분석자의 직관에 따라 작업지점들의 방문 순서를 결정하는 것보다 휴리스틱 TSP 알고리즘을 적용해 분석하는 것이 25개 지점 경유시 20분 정도의 이동시간을 단축할 수 있는 것으로 분석되었다. 본 연구에서 제시한 결과가 노천광산 보조 작업 차량들의 시스템 최적화와 관련된 향후 연구들의 방향설정 위해 기초자료로 활용될 수 있을 것이라 기대한다.

SOME ITERATIVE ALGORITHMS FOR THE GENERALIZED MIXED EQUILIBRIUM-LIKE PROBLEMS

  • Liu, Zeqing;Chen, Zhengsheng;Kang, Shin-Min
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.481-491
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    • 2008
  • In this paper, we introduce and analyze a new class of generalized mixed equilibrium-like problems. By using the auxiliary principle technique, we suggest three iterative algorithms for the generalized mixed equilibrium-like problem. Under certain conditions, we establish the convergence of the iterative algorithms. Our results extend, improve and unify several known results in this field.

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