• Title/Summary/Keyword: 극한값

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Pre-Service Teachers' Understanding of Contexts for Constructing Exponential Graph (지수함수 그래프의 구성 맥락에 대한 예비교사들의 이해)

  • Heo, Nam Gu;Kang, Hyangim;Choi, Eunah
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.411-430
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    • 2017
  • This study examined the understanding of 24 pre-service teachers about the three contexts for constructing the exponential graphs. The three contexts consisted of the infinite points context (2009 revision curriculum textbook method), the infinite straight lines context (French textbook method), and the continuous compounding context (2015 revision curriculum textbook method). As the result of the examination, most of the pre-service teachers selected the infinite points context as easier context for introducing the exponential graph. They noted that it was the appropriate method because they thought their students would easily understand, but they showed the most errors in the graph presentation of this method. These errors are interpreted as a lack of content knowledge. In addition, a number of pre-service teachers noted that the infinite straight lines context and continuous compounding context were not appropriate because these contexts can aggravate students' difficulty in understanding. What they pointed out was interpreted in terms of knowledge of content and students, but at the same time those things revealed a lack of content knowledge for understanding the continuous compounding context. In fact, considering the curriculum they have experienced, they were not familiar with this context, continuous compounding. These results suggest that pre-service teacher education should be improved. Finally, some of the pre-service teachers mentioned that using technology can help the students' difficulties because they considered the design of visual model.

The ETCCDI and Frequency Analysis using RCP Scenarios (RCP 시나리오를 고려한 극치통계분석 및 빈도해석)

  • Kim, Duck Hwan;Kim, Yon Soo;Hong, Seung Jin;Ly, Sidoeun;Jung, Younghun;Kim, Hung Soo
    • Journal of Wetlands Research
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    • v.15 no.4
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    • pp.595-607
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    • 2013
  • In this study we estimated ETCCDI and frequency based precipitation using observed precipitation and precipitation from Representative Concentration Pathway(RCP) scenarios for 58 weather stations which have the recorded data more than 30 years. We tried to eliminate the bias by Quantile Mapping and tested for outliers of simulated data under climate change scenario. Then we estimated ETCCDI related to precipitation and frequency based precipitation for the future. In addition to this study examined the changes of frequency based precipitation for the future target periods. According to the result, dry days will be increased in Korean Peninsula in the 2090s. Also it showed that the number of heavy precipitation day more than 80mm/day tends to be increased in 3~7% in the future. The precipitation of 24-hour duration under climate change will be increased by 17.7% for 80-year frequency, 18.2% for 100-year frequency and 19.6% for 200-year frequency in 2090s. In the 21st century, the damage caused by natural disasters is expected to be increased due to increase of precipitation and the change of runoff characteristics under climate change. Therefore, the proposed ETCCDI and precipitation frequency under climate change are expected to be used for the future natural disaster plan.

Future Projection in Inflow of Major Multi-Purpose Dams in South Korea (기후변화에 따른 국내 주요 다목적댐의 유입량 변화 전망)

  • Lee, Moon Hwan;Im, Eun Soon;Bae, Deg Hyo
    • Journal of Wetlands Research
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    • v.21 no.spc
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    • pp.107-116
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    • 2019
  • Multi-purpose dams in Korea play a very important role in water management such as supplying water for living, industrial water, and discharging instream flow requirement to maintain the functions of river. However, the vulnerability of dam water supply has been increased due to extreme weather events that are possible linked to climate change. This study attempts to project the future dam inflow of six multi-purpose dams by using dynamically downscaled climate change scenarios with high resolution. It is found that the high flows are remarkably increased under global warming, regardless of basins and climate models. In contrast, the low flows for Soyangang dam, Chungju dam, and Andong dam that dam inflow are originated from Taebaek mountains are significantly decreased. On the other hand, while the low flow of Hapcheon dam is shown to increase, those of Daecheong and Sumjingang dams have little changes. But, the low flows for future period have wide ranges and the minimum value of low flows are decreased for all dams except for Hapcheon dam. Therefore, it is necessary to establish new water management policy that can respond to extreme water shortages considering climate change.

Development of Precast Concrete Method for Eco-Pillar Debris Barrier with Hollow Cross-Section (중공트랙형 단면의 프리캐스트 에코필라 사방댐 공법개발)

  • Kim, Hyun-Gi
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.3
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    • pp.542-552
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    • 2018
  • In this paper, the precast method of a concrete eco-pillar debris barrier was proposed to improve the construct ability and economic efficiency. The performance was validated by experimental and structural analysis. The steel debris barrier has a high construction cost and causes environmental damage with corrosion. The construction of a concrete eco-pillar debris barrier has been increased recently. On the other hand, there are no design standards regarding debris barriers in Korea, and debris barriers are being designed by the experience and sense of engineers. Therefore, in this study, a method to determine the design external forces was proposed and the design was performed by applying a hollow cross-section to the debris barrier. In addition, three types of connection methods of a concrete cantilever column with the maximum bending moment acts were proposed, and validation of the performance of each type was performed with a real-scale experiment. The experimental results showed that the type with loop reinforcement had the highest rigidity and the type with anchorage performance exceeded the maximum bending moment according to the ultimate load. In the manufacturing procedure of mock-up debris barriers, the type with an anchorage-bar was found to have superior construct ability.

Effects of Welding Processes on the Low Temperature Impact Toughness of Structural Steel Welded Joints (용접방법에 따른 구조용강 용접 접합부의 저온 충격인성 특성)

  • Lee, Chin Hyung;Shin, Hyun Seop;Park, Ki Tae
    • Journal of Korean Society of Steel Construction
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    • v.24 no.6
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    • pp.693-700
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    • 2012
  • In this study, the Charpy impact test along with metallurgical observation was conducted to evaluate low temperature impact toughness of structural steel welds with different welding processes to find out the optimal welding process to guarantee the required impact toughness at low temperatures. The welding processes employed are shield metal arc welding (SMAW) and flux cored arc welding(FCAW), which are commonly used welding methods in construction. The Charpy impact test is a commercial quality control test for steels and other alloys used in the construction of metallic structures. The test allows the material properties for service conditions to be determined experimentally in a simple manner with a very low cost. To investigate the impact toughness at low temperatures of the steel welds, specimens were extracted from the weld metal and the heat affected zone. Standard V-notch Charpy specimens were prepared and tested under dynamic loading condition. The low temperature impact performance was evaluated based on the correlation between the absorbed energy and the microstructure. Analysis of the results showed that the optimal welding process to ensure the higher low temperature impact toughness of the HAZ and the weld metal is SMAW process using the welding consumable for steels targeted to low temperature use.

A Study on Variability of Consecutive Dry Days by Riverbasin in South Korea (한국의 유역별 연속건조일의 변화에 관한 연구)

  • Lee, Seung-Ho;Kim, Eun-Kyung;Heo, In-Hye
    • Journal of the Korean association of regional geographers
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    • v.17 no.6
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    • pp.666-678
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    • 2011
  • This study is aimed to examine the variability of consecutive dry days in South Korea. The country is divided into six basins including Han river, Nakdong river, Geum river. Seomjin Yeongsan river, Eastern Coast area and Island area, and three extreme precipitation indices-related to dry days are analyzed at sixty weather stations. Trends of max number of consecutive dry days were unstable during 1973~2010. Variability range of max number of consecutive dry days trends in Nakdong and Seomjin Yeongsan river was larger than that in Han and Geum river. Recently, the range in Nakdong and Seomjin Yeongsan river was bigger and bigger. Maximum dry spell was observed in autumn and winter in most of riverbasins. Especially, Maximum dry spell in winter was more frequent than in other seasons in Nakdong river. Variability range of persistence dry spells was smaller than that of max number of consecutive dry days. However, the increasing trends of the Geum river and the Seomjin Yeongsan river are statistically significant in recent. In Nakdong river, difference between persistence dry spell average and persistence dry spell median was larger than any other riverbasin. It means that there is strong possibility of occurrence of long term consecutive dry days in Nakdong river.

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A Study on the Test of Homogeneity for Nonlinear Time Series Panel Data Using Bilinear Models (중선형 모형을 이용한 비선형 시계열 패널자료의 동질성검정에 대한 연구)

  • Kim, Inkyu
    • Journal of Digital Convergence
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    • v.12 no.7
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    • pp.261-266
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    • 2014
  • When the number of parameters in the time series model are diverse, it is hard to forecast because of the increasing error by a parameter estimation. If the homogeneity hypothesis which was obtained from the same model about severeal data for the time series is selected, it is easy to get the predictive value better. Nonlinear time-series panel data for each parameter for each time series, since there are so many parameters that are present, and the large number of parameters according to the parameter estimation error increases the accuracy of the forecast deteriorated. Panel present in the time series of multiple independent homogeneity is satisfied by a comprehensive time series to estimate and to test of the parameters. For studying about the homogeneity test for the m independent non-linear of the time series panel data, it needs to set the model and to make the normal conditions for the model, and to derive the homogeneity test statistic. Finally, it shows to obtain the limit distribution according to ${\chi}^2$ distribution. In actual analysis,, we can examine the result for the homogeneity test about nonlinear time series panel data which are 2 groups of stock price data.

Characteristics of Buckling Load and Bifurcation in Accordance with Rise-span Ratio of Space Truss Considering Initial Imperfection (초기 불완전성을 고려한 공간 트러스의 분기좌굴과 라이즈-스팬 비에 따른 임계하중 특성)

  • Lee, Seung-Jae;Shon, Su-Deok
    • Journal of Korean Society of Steel Construction
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    • v.24 no.3
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    • pp.337-348
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    • 2012
  • This study investigated the characteristics of bifurcation and the instability due to the initial imperfection of the space truss, which is sensitive to the initial conditions, and the calculated buckling load by the analysis of Eigen-values and the determinant of tangential stiffness. A two-free nodes model, a star dome, and a three-ring dome model were selected as case studies in order to examine the unstable phenomenon due to the sensitivity to Eigen mode, and the influence of the rise-span ratio and the load parameter on the buckling load were analyzed. The sensitivity to the imperfection of the two-free nodes model changed the critical path after reaching the limit point through the bifurcation mode, and the buckling load level was reduced by the increase in the amount of imperfection. The two sensitive buckling patterns for the model can be explained by investigating the displaced position of the free node, and the asymmetric Eigen mode was a major influence on the unstable behavior due to the initial imperfection. The sensitive mode was similar to the in-extensional mechanism basis of the simplified model. Since the rise-span ratio was higher, the effect of local buckling is more prominent than the global buckling in the star dome, and bifurcation on the equilibrium path occurring as the value of the load parameter was higher. Additionally, the buckling load levels of the star dome and the three-ring model were about 50-70% and 80-90% of the limit point, respectively.

Flexural Behavior and Analysis of RC Beams Strengthened with Prestressed CFRP Plates (프리스트레스트 탄소섬유판으로 보강된 철근콘크리트 보의 휨 거동 및 해석)

  • Yang, Dong-Suk;Park, Jun-Myung;You, Young-Chan;Park, Sun-Kyu
    • Journal of the Korea Concrete Institute
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    • v.19 no.4
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    • pp.467-474
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    • 2007
  • In this paper, a total of 13 beams with bonding, anchorage system, amount of prestressing and span length as variables of experiment were tested in flexural test and analyzed in finite element analysis; one control beam, two simplified FRP-boned beams, four prestressed FRP-unbonded beams and four prestressed FRP-bonded beams. Also, a nonlinear finite element analysis of beams in the flexural test is performed by DIANA program considered material nonlinear of concrete, reinforcement and the interfacial bond-slip model between concrete and CFRP plates. The failure mode of prestressed CFRP plated-beams is not debonding but FRP rupture. RC members strengthened with external bonded prestressed CFRP plates occurred 1st and 2nd debonding of the composite material. After the debonding of CFRP plates occurs in bonded system, behavior of bonded CFRP-plated beams change into that of unbonded CFRP-plated beams due to fix of the anchorage system. Also, It was compared flexural test results and analytical results of RC members strengthened with CFRF plates. The ductility of beams strengthened by CFRP plates with the anchorage system is considered high with the ductility index of above 3. Analysis results showed a good agreement with experiment results in the debonding load, yield load and ultimate load.

Experiment and Strength Analysis of High-Strength RC Columns (고강도 철근 콘크리트 기둥의 실험 및 강도해석)

  • Son, Hyeok-Soo;Kim, Jun-Beom;Lee, Jae-Hoon
    • Magazine of the Korea Concrete Institute
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    • v.11 no.1
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    • pp.149-160
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    • 1999
  • This paper is a part of a research aimed at the verification of basic design rules of high-strength concrete columns. A total of 32 column specimens were tested to investigate structural behavior and strength of eccentrically loaded reinforced concrete tied columns. Main variables included in this test program were concrete compressive strength. steel amount, eccentricity, and slenderness ratio. The concrete compressive strength varied from 356 kg/$cm^2$ to 951 kg/$cm^2$ and the longitudinal steel ratios were between 1.13 % and 5.51 %. Test results of column sectional strength are compared with the results of analyses by ACI rectangular stress block, trapezoidal stress block, and modified rectangular stress block. Axial force-moment-curvature analysis is also performed for predicting axial load-moment strength and compared with the test results. The ACI rectangular stress block provides over-estimated column strengths for the lightly reinforced high strength column specimens. The calculated strengths by moment-curvature analyses are highly affected by $k_3$ values of the concrete stress-strain curve. Observed failure mode. concrete ultimate strain, and stress block parameters are discussed.