• Title/Summary/Keyword: High order method

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A Study on Teaching the Notion of Limit of the Sequence in High School Mathematics (고등학교 수학에서 수열의 극한개념의 지도에 관한 연구)

  • 김기원;왕수민
    • The Mathematical Education
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    • v.42 no.5
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    • pp.707-723
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    • 2003
  • Teaching the notion of limit of the sequence in high school mathematics needs special attention and accurate teaching methods, for it is one of the most important bases of the advanced mathematics. Therefore it is necessary for high school students to have the right understanding of the notion of limit of the sequence. In this paper, we survey several teaching methods of the notion of limit of the sequence in high school mathematics and introduce a new method using Excell program. Also through questionnaire survey we discuss and analyse students' reaction when they learn the notion of limit of the sequence. And based on that, we suggest a method that would be believed to improve the students' understanding for the notion of limit It should be also notified that questionnaire survey was performed in order to find out which method would be appropriate to teach the notion of limit of the sequence, and that the survey result was fully reflected in the guideline that suggested.

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A Study on the Optimal Design for Aluminum Boom Shape in High Ladder Vehicles (고가사다리차의 알루미늄 붐 형상의 최적설계에 관한 연구)

  • Kim, Hong-Gun;Nah, Seok-Chan;Hong, Dong-Pyo;Cho, Nam-Ik
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.3
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    • pp.96-102
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    • 2007
  • An Optimal shape design of the boom system in high ladder vehicles is performed using 3-D finite element method (FEM). Results of structural analyses providing displacements, stresses are implemented for the optimum shape design. Lanzcos algorithm is used for the modal analysis in order to find natural frequencies. The optimal shape including cross sectional thickness and length of the boom system is controlled by the subproblem method besed on displacement and Von Mises stress. It is found that a plenty of materials can be saved by using shape design optimization in high ladder vehicles. It is also found that the natural frequency is increased until 6th mode and maintained similarly or decreased after 6th mode.

A Study on the Fatigue Reliability Assessment of Car Body for High Speed Train passing through Tunnels (터널주행시의 고속전철 차체피로신뢰성 평가에 관한 연구)

  • Park Choon-Soo;Seo Sung-Il;Lee Tae-Hyung;Mok Jin-Yong
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.853-858
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    • 2004
  • In order to develop a high speed train, various conditions have been considered. Fatigue strength assessment by the fluctuation of pressure is an important one. When high speed train passing though tunnels, the pressure wave is generated in tunnels and pressure variation by the wave is acting on carbody structure with dynamic load repeatedly. In this study, formulation for reliability based fatigue assessment method has been performed when the high speed train passes through tunnels. The formulation was based on structural reliability index method and followed the proposed ISO method. The result by this study would be a good guidance to calculate the fatigue life and reliability index of body structure.

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The High-side Pressure Setpoint Algorithm of a $CO_2$ Automotive Air Conditioning System by using a Lagrange Interpolation Method and a Neural Network (라그랑즈 보간법과 신경망을 이용한 $CO_2$ 자동차에어컨시스템의 고압설정알고리즘)

  • Han, Do-Young;Noh, Hee-Jeon
    • Proceedings of the SAREK Conference
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    • 2007.11a
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    • pp.29-33
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    • 2007
  • In order to protect the environment from the refrigerant pollution, the $CO_2$ may be regarded as one of the most attractive alternative refrigerants for an automotive air-conditioning system. Control methods for a $CO_2$ system should be different because of $CO_2$'s unique properties as a refrigerant. Especially, the high-side pressure of a $CO_2$ system should be controlled for the effective operation of the system. In this study, the high-side pressure setpoint algorithm was developed by using a neural network and a Lagrange interpolation method. These methods were compared. Simulation results showed that a Lagrange interpolation method was more effective than a neural network in the respect of its easiness of programming and shorter execution time.

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A Study for the Design of the Air-Conditioning Duct of Korean High Speed Train (한국형 고속전철의 에어컨 덕트 설계를 위한 연구)

  • 이승민;박철희;이우식
    • Proceedings of the KSR Conference
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    • 1999.11a
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    • pp.479-486
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    • 1999
  • The noises generated from the air-conditioning duct are known to strongly affect the indoor-noises of high speed trains. The acoustic characteristics of an air-conditioning duct should depend on the geometry and shape of the duct. The structural material for Korean high speed train is supposed to be changed from Steel, which was used for TGV, to Aluminum in order to reduce the total train weight. Accordingly, the shape and layout of the air-conditioning duct of Korean high speed train will be different from that of TGV. Thus, this paper introduces a analytical method to predict the noise attenuation through the air-conditioning duct, based on the ISO 7235. In this method, the whole duct is divided into several pieces and the noise attenuations predicted for each duct piece are integrated to get the noise attenuation for the whole duct system. The validity of the method introduced herein is discussed through some numerical tests.

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Simple and Clean Transfer Method for Intrinsic Property of Graphene

  • Choe, Sun-Hyeong;Lee, Jae-Hyeon;;Kim, Byeong-Seong;Choe, Yun-Jeong;Hwang, Jong-Seung;Hwang, Seong-U;Hwang, Dong-Mok
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.659-659
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    • 2013
  • Recently, graphene has been intensively studied due to the fascinating physical, chemical and electrical properties. It shows high carrier mobility, high current density, and high thermal conductivity compare with conventional semiconductor materials even it has single atomic thickness. Especially, since graphene has fantastic electrical properties many researchers are believed that graphene will be replacing Si based technology. In order to realize it, we need to prepare the large and uniform graphene. Chemical vapor deposition (CVD) method is the most promising technique for synthesizing large and uniform graphene. Unfortunately, CVD method requires transfer process from metal catalyst. In transfer process, supporting polymer film (Such as poly (methyl methacrylate)) is widely used for protecting graphene. After transfer process, polymer layer is removed by organic solvents. However, it is impossible to remove it completely. These organic residues on graphene surface induce quality degradation of graphene since it disturbs movement of electrons. Thus, in order to get an intrinsic property of graphene completely remove of the organic residues is the most important. Here, we introduce modified wet graphene transfer method without PMMA. First of all, we grow the graphene from Cu foil using CVD method. And then, we deposited several metal films on graphene for transfer layer instead of PMMA. Finally, we fabricate graphene FET devices. Our approaches show low defect density and non-organic residues in comparison with PMMA coated graphene through Raman spectroscopy, SEM and AFM. In addition, clean graphene FET shows intrinsic electrical characteristic and high carrier mobility.

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The study on novel method of IGBTs series connection using simple auxiliary circuit (간단한 보조회로를 이용한 새로운 IGBT 직렬 구동 기법에 관한 연구)

  • 백주원;류명효;김성철;이영식;유동욱;김흥근
    • Proceedings of the KIPE Conference
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    • 1999.07a
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    • pp.206-209
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    • 1999
  • There exists an acute need for high voltage solid-state-switches in a broad area of applications. With the proposed method using simple voltage balancing circuit with series connected IGBTs, it is realized high voltage semiconductor switches with working voltages of several order kilo-volts. The operation principle of the proposed circuit is explained and analyzed. Transient and static voltage-balancing is tested on a experimenta 3kV/45A switch with four series-connected IGBTs.

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Powder Preparation and Sintering Properties of PZT-Ceramics by Coprecipitation (공침법에 의한 PZT의 분체제조 및 소결특성)

  • 안영필;김복희;이병우
    • Journal of the Korean Ceramic Society
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    • v.25 no.1
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    • pp.54-58
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    • 1988
  • In order to depress PbO vaporization during calcination and improve sinterability in low temperature, a method for preparing homogeous Lead-Zirconate-Titanate (PZT) powder from aqueous salt solution by precipitation is described. In this method, single phae PZT fine powders are formed at above 500$^{\circ}C$. PZT-ceramics using these powders have high sinterability, and good sintering characteristics relatively low temp. (-high apparent density, low porosity, low water adsorption etc.)

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Active feedback control for cable vibrations

  • Ubertini, Filippo
    • Smart Structures and Systems
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    • v.4 no.4
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    • pp.407-428
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    • 2008
  • The nonlinear mechanics of cable vibration is caught either by analytical or numerical models. Nevertheless, the choice of the most appropriate method, in consideration of the problem under study, is not straightforward. A feedback control policy might even enhance the complexity of the system. Thus, in order to design a suitable controller, different approaches are here adopted. Devices mounted transversely to the cable in the two directions, close to one of its ends, supply the feedback control action based on the observation of the response in a few points. The low order terms of the control law are, at first, analyzed in the framework of linear models. Explicit analytic solutions are derived for this purpose. The effectiveness of high order terms in the control law is then explored by means of a finite element model(FEM), which accounts for high order harmonics. A suitably dimensional analytical Galerkin model is finally derived, to investigate the effectiveness of the proposed control strategy, when applied to a physical model.

Tensor-based tag emotion aware recommendation with probabilistic ranking

  • Lim, Hyewon;Kim, Hyoung-Joo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.12
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    • pp.5826-5841
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    • 2019
  • In our previous research, we proposed a tag emotion-based item recommendation scheme. The ternary associations among users, items, and tags are described as a three-order tensor in order to capture the emotions in tags. The candidates for recommendation are created based on the latent semantics derived by a high-order singular value decomposition technique (HOSVD). However, the tensor is very sparse because the number of tagged items is smaller than the amount of all items. The previous research do not consider the previous behaviors of users and items. To mitigate the problems, in this paper, the item-based collaborative filtering scheme is used to build an extended data. We also apply the probabilistic ranking algorithm considering the user and item profiles to improve the recommendation performance. The proposed method is evaluated based on Movielens dataset, and the results show that our approach improves the performance compared to other methods.