• Title/Summary/Keyword: 대수 방정식

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A Numerical Model for Analysis of Groundwater Flow with Heat Flow in Steady-State (열(熱)흐름을 동반(同伴)한 정상지하수(定常地下水)의 흐름해석(解析) 수치모형(數値模型))

  • Wang, Soo Kyun;Cho, Won Cheol;Lee, Won Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.4
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    • pp.103-112
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    • 1991
  • In this study, a numerical model was established and applied to simulate the steady-state groundwater and heat flow in an isotropic, heterogeneous, three dimensional aquifer system with uniform thermal properties and no change of state. This model was developed as an aid in screening large groundwater-flow systems as prospects for underground waste storage. Driving forces on the system are external hydrologic conditions of recharge from precipitation and fixed hydraulic head boundaries. Heat flux includes geothermal heat-flow, conduction to the land surface, advection from recharge, and advection to or from fixed-head boundaries. The model uses an iterative procedure that alternately solves the groundwater-flow and heat-flow equations, updating advective flux after solution of the groundwater-flow equation, and updating hydraulic conductivity after solution of the heat-flow equation. Dierect solution is used for each equation. Travel time is determined by particle tracking through the modeled space. Velocities within blocks are linear interpolations of velocities at block faces. Applying this model to the groundwater-flow system located in Jigyung-ri. Songla-myun, Youngil-gun. Kyungsangbuk-do, the groundwater-flow system including distribution of head, temperature and travel time and flow line, is analyzed.

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A Study on Mobility Support Center Service Using Structural Equation Model (구조방정식모형을 활용한 이동지원센터 서비스 이용에 관한 연구)

  • Kim, Sung-Hoe;Kim, Gyeong-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.7
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    • pp.343-353
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    • 2018
  • Most local governments operate Mobility Support Centers to provide transportation convenience for the transportation vulnerable. A Mobility Support Center makes various efforts to improve the mobility of the transportation vulnerable. One of them is the operation of a Special Transportation Vehicle (STV). On the other hand, during implementation, problems, such as insufficient number of vehicles and high demand, have been found. Nevertheless, improving the service by providing a large amount of STV can be a problem in terms of the budget. Therefore, it is necessary to gather opinions of the users and identify the problems during the utilization of a Mobility Support Center. Moreover, it is necessary to improve various services to achieve a better and more comfortable utilization. In this research, SEM was used to analyze the importance of the Mobility Support Center for the transportation vulnerable. The importance and performance drawn and examined through an analysis and questionnaire survey were used to propose IPA results that consider the importance and performance at the same time. In addition, this research also suggest a service improvement priority based on the analysis result. For the analysis, this research conducted a questionnaire survey on the actual users and their guardians who use STV in Cheonan-city, as well as factor analysis and reliability analysis. The results showed that the 'Charge system' is not affected by the service because it is fully satisfied by the low price when compared to public transportation. In addition, 'Vehicle use' is more important than 'Convenience' service. IPA analysis showed that it is necessary to improve the priority, kindness, waiting time, and call center response for the better and more comfortable utilization of Mobility Support Centers for the transportation vulnerable.

A Case Study on Students' Problem Solving in process of Problem Posing for Equation at the Middle School Level (방정식의 문제 만들기 활동에서 문제구조를 중심으로 문제해결에 관한 연구)

  • ChoiKoh, Sang-Sook;Jeon, Sung-Hoon
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.109-128
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    • 2009
  • This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

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Economies of Scale and Scope In Seoul's Urban Bus Industry (서울 시내버스운송업의 규모 및 범위의 경제성 분석)

  • 김성수;김민정
    • Journal of Korean Society of Transportation
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    • v.19 no.6
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    • pp.89-102
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    • 2001
  • Using a multiproduct translog cost function model, this paper examines the existence or absence of scale and scope economies in Seoul's urban bus industry. The Paper then conceptualizes that the bus firm produces three outputs (city, seat and local bus-kilometers) using low input factors(labor, capital, fuel and maintenance). Using 1996 annual observations for 81 Seoul's bus firms, the equation system consisting of a cost function and three input share equations is estimated with the nonlinear iterative Zellner method. The findings show that the cost function corresponding to a non-homothetic production technology with separability between local bus outputs and inputs adequately represents the structure of cost for Seoul's bus firms, and that the demand lot all input factors is quite inelastic with respect to their own price. On the other hand, nearly all firms experience mild overall economies or scale, but rather marked product-specific economies of scale with respect to all the three outputs. In addition, there appear to be substantial economies or scope associated with the joint production of city and seat bus services, while considerable diseconomies of scope associated with that of city and local bus services. These results indicate that the merger of smaller firms into larger firms with a fleet of approximately 200 buses would result in more cost-efficient bus services.

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A New Method to Calculate Pseudoskin Factor of a Partially-Penetrating Well (부분관통정의 유사표피인자 계산을 위한 새로운 방법)

  • Lee, Kun-Sang
    • Journal of the Korean Society of Groundwater Environment
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    • v.6 no.1
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    • pp.42-47
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    • 1999
  • This study considers pseudosteady-state flow to a restricted-entry well in a single or multilayer aquifer with crossflow. A simple method for calculating the pseudoskin factor caused by partial penetration is presented to overcome a limited applicability in geometrical or computational aspects of previous methods. The computation is based on the solution of a simplified pseudosteady-state equation that describes the long-time behavior of the closed radial system. We illustrate the applicability of this method to various types of cylindrical systems and provide the results graphically. Comparisons with previously published results have indicated that this method yields highly accurate estimates of pseu-doskin factor with minimum computational effort. This method has also shown to be particularly useful for geometrically-complicated systems. Greatly improved computational efficiency of pseudosteady-state approach permits the engineer to easily account for the effect of partial penetration on the late-time performance of a well.

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A Study of the Representation and Algorithms of Western Mathematics Reflected on the Algebra Domains of Chosun-Sanhak in the 18th Century (18세기 조선산학서의 대수 영역에 나타난 서양수학 표현 및 계산법 연구)

  • Choi, Eunah
    • Journal of the Korean School Mathematics Society
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    • v.23 no.1
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    • pp.25-44
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    • 2020
  • This study investigated the representation and algorithms of western mathematics reflected on the algebra domains of Chosun-Sanhak in the 18th century. I also analyzed the co-occurrences and replacement phenomenon between western algorithms and traditional algorithms. For this purpose, I analyzed nine Chosun mathematics books in the 18th century, including Gusuryak and Gosasibijip. The results of this study are as follows. First, I identified the process of changing to a calculation by writing of western mathematics, from traditional four arithmetical operations using Sandae and the formalized explanation for the proportional concept and proportional expression. Second, I observed the gradual formalization of mathematical representation of the solution for a simultaneous linear equation. Lastly, I identified the change of the solution for square root from traditional Gaebangsul and Jeungseunggaebangbeop to a calculation by the writing of western mathematics.

An Analyzing the Cost-Saving Effect of R&D Investment: Focusing on the ICT Industry (연구개발투자에 따른 비용저감 효과 분석: ICT산업을 중심으로)

  • Pak, Cheolmin;Han, Jeongmin;Ku, Bonchul
    • Journal of Technology Innovation
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    • v.24 no.3
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    • pp.81-105
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    • 2016
  • The purpose of this study is to estimate the cost-saving effect of R&D investment in the ICT industry. As is well known, the R&D investment induces both the product innovation and the process innovation, in turn leads the effect of creating profit and cutting cost. However, it appears that studies concerned with the cost-saving effect of R&D investment have been unproductive, while most existing studies concentrate on the topic involved with the creating profit of R&D investment. Therefore, we extend the effect of R&D investment to a framework of the cost-saving focusing on the ICT industry. To empirically analyze the effect, we built a simultaneous three-equation model comprising a translog cost function and two cost share equations, and employed the SUR analysis. As a result, we found out that the cost-saving effect on the total cost is statistically significant. In addition, we examined relationships between the R&D investment and each cost of production elements. The results show that on the one hand, the R&D investment and the intermediate good cost have the substitution relationship. On the other hand, the complementary relationship is observed between the R&D investment and each labor or capital cost.

Application based on the strictly combined method of BEM and CADMAS-SURF (BEM-CADMAS-SURF 결합해석법에 기초한 수치조파수조의 응용)

  • Kim, Sang-Ho;Yamashiro, Masaru;Yoshida, Akinori;Shin, Seung-Ho;Hong, Key-Yong
    • Journal of Navigation and Port Research
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    • v.33 no.1
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    • pp.65-70
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    • 2009
  • The hybrid numerical model is developed by combining BEM that can calculate the wave motion rapidly under the potential theory and CADMAS-SURF that solves Navier-Stokes equations for the free surface variation near the structure, In the hybrid model the calculation of wave motion in a wide field of wave reflection for deep water area is conducted by BEM but for shallow water area by CADMAS-SURF. Especially the hybrid model can calculate random wave motions for long term period more rapidly with almost similar accuracy than the calculation of wave motion which was carried out by CADMAS-SURF only. In this study the coupling model was applied to the calculation of the strong nonlinear wave motion such as wave runup and overtopping at the coastal structure on the mild-slope bottom and the results of numerical model were compared with the Toyosima's experiments of regular wave runup and Goda's design diagram of ramdom wave overtopping, respectively.

Restriction of groundwater drawdown levels in one representative drought-prone zone (상습가뭄지역 지하수위 한계치 설정 연구)

  • Lee, Byung Sun;Myoung, Wooho;Lee, Gyu Sang;Song, Sung-Ho;Ha, Kyoochul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.31-31
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    • 2020
  • 가뭄 발생 시 국내 농어촌 지자체 대부분은 추가 수원공 확보를 위한 긴급 대책으로 신규 관정을 개발하거나, 저수지와 하천을 준설하여 가뭄 수요에 대응하는 편이다. 이러한 방법은 즉시 대응에는 효과가 있지만, 고가의 비용이 소요되고, 무엇보다도 국지적으로 가뭄이 빈번하게 발생하는 지역에는 적용에 한계가 있다. 이러한 한계를 극복하기 위하여, 최근 기설 관정을 연계 이용하여 지하수 공급 극대화를 도모하는 기술이 제안되었다. 그런데 기설 관정 연계 이용 시 가장 중요한 사항은 모든 관정에서 최대 양수량을 유지하며 지하수를 공급할 수 있도록 관리해야 하는 점이며, 특히 암반관정의 과잉양수로 인한 간섭현상으로 충적관정이 고갈되어 공급가능한 지하수 수량이 오히려 감소되는 것을 사전에 방지하여야 한다. 이 연구에서는 가뭄 발생 시 암반관정(양수정)에서 최대로 양수했을 때에도 주변 충적관정의 양수능이 유지되는 최소 지하수위를 「지하수위 저하 한계치」로 지정하여 관정 연계 이용의 최적화를 도모하였다. 지하수위 저하 한계치 산정을 위하여, Theis의 자유면 대수층 정상류 우물수리 방정식과 지하수영향반겅 설정에 관한 경험식(Schultz, Weber, Kozeny 및 Jacob 경험식)을 이용하였다. 그런데 지정된 지하수위 저하 한계치는 충적관정의 지하수위이므로, 암반관측공만 소재하는 지역에 대해서는 충적층 지하수위 변동과 암반층 지하수위 변동 간의 상관분석을 통해 암반 관측공의 지하수위 저하 한계치를 추정하였다. 이후, 양수시험 자료(양수정과 주변 관측공의 수위변동 자료)를 이용하여 지하수 대수층의 이방성을 확인하였고, 이를 통해 암반관정의 양수에 따른 간섭을 크게 받는 충적관정과 그렇치 않은 충적관정을 구분하여 이방성에 따른 지하수위 저하 한계치를 수정하고, 상습가뭄 발생지역의 암반관정과 충적관정의 최적 지하수 양수를 도모하였다.

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On the analysis and correction of error for the simultaneous inequality with two unknown quantities (미지수가 2개인 연립일차부등식의 문제해결과정에서 발생하는 오류 분석 및 지도방안 연구)

  • Jun, Young-Bae;Roh, Eun-Hwan;Kim, Dae-Eui;Jung, Chan-Sik;Kim, Chang-Su;Kang, Jeong-Gi;Jung, Sang-Tae
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.543-562
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    • 2010
  • The purpose of this thesis is to analyze the error happening in the process of solving the simultaneous inequality with two unknown qualities and to propose the correct teaching method. We first introduce a problem about the simultaneous inequality with two unknown qualities. And we will see the solution which a student offers. Finally we propose the correct teaching method by analyzing the error happening in the process of solving the simultaneous inequality with two unknown qualities. The cause of the error are a wrong conception which started with the process of solving the simultaneous equality with two unknown qualities and an insufficient curriculum in connection with the simultaneous inequality with two unknown qualities. Especially we can find out the problem that the students don't look the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities. Therefore we insist that we must teach students looking the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities.