• Title/Summary/Keyword: 미분 문제해결

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A Java Implementation of the Generalization of Standard Manabe Form Using the Runge Kutta Methods and Genetic Algorithms (런지-커타 기법과 유전자 알고리즘을 이용한 Manabe형의 일반화에 관한 자바 구현)

  • 강환수;강환일;송영기
    • Proceedings of the Korean Information Science Society Conference
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    • 2002.04b
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    • pp.325-327
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    • 2002
  • 진화 알고리즘은 생물의 유전적 진화 과정을 이용한 새로운 문제 해결의 방안으로 결정론적 방법으로 해결하지 못한 난제에 적합한 알고리즘으로 알려져 있다. 본 논문에서는 진화 알고리즘의 연구를 기반으로 전달함수 출력 파형 검출을 위만 기법에서 이용되고 있는 런지-커타(Runge-Kutta) 방법에서의 상미분방정식의 해를 구하는 기법에서 유전 알고리즘을 이용하여 그 결과를 찾아본다. 본 논문에서의 구현은 자바 언어를 이용하며, 자바 언어를 적용한 구현 방법과 유전 알고리즘의 효율적 기법을 제시한다.

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Free Oscillation Analysis in the Coastal Area using Integrated Finite Difference Method (적분차분법을 이용한 연안역에서의 해수고유진동해석)

  • LEE Byung-Gul
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.6
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    • pp.782-786
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    • 1994
  • Integrated finite difference method (IFDM) is used to solve one dimensional free oscillation problem in the coastal area. To evaluate the solution accuracy of IFDM in free oscillation analysis, two finite difference equations based on area discretization method and point discretization method are derived from the governing equations of free oscillation, respectively. The difference equations are transformed into a generalized eigenvalue problem, respectively. A numerical example is presented, for which the analytical solution is available, for comparing IFDM to conventional finite difference equation (CFDM), qualitatively. The eigenvalue matrices are solved by sub-space iteration method. The numerical results of the two methods are in good agreement with analytical ones, however, IFDM yields better solution than CFDM in lower modes because IFDM only includes first order differential operator in finite difference equation by Green's theorem. From these results, it is concluded that IFDM is useful for the free oscillation analysis in the coastal area.

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The Influence of Instrumentalization of Computer Algebra System(CAS) on the Sequence of Mathematics Curriculum in the Optimization Problem Solving Activities of CAS (최적화 문제해결 활동에서 "CAS의 도구화"가 교육과정 내용제시 순서에 미치는 영향)

  • Han, Se-Ho
    • Journal of Educational Research in Mathematics
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    • v.20 no.2
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    • pp.185-202
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    • 2010
  • This study was designed to investigate the possibility that the optimization problem solving activities based on the instrumented CAS can have an influence on the sequence of mathematics curriculum in secondary mathematics education. Some optimization problem solving activities based on CAS were constructed and executed to eleventh grade(the penultimate year of Korean high school) 7 students for nine class hours. They have experienced using CAS in mathematics class for three months, but never learned calculus. The data which consists of classroom observations(audio and video taped) and post-unit interviews with students were analyzed. In the analysis, with CAS, students can highly deal with the applied optimization problems made up of calculus, cubic equation, solution of radical equation, and graph analysis which never learned. This result shows CAS may have an influence on the sequence of mathematics curriculum in secondary mathematics education.

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A Novel Low-Complex and High-Performance Image Quality Assessment Metric based on Simple Gradient Operators (단순 기울기 연산자 기반의 새로운 저복잡도 고성능 영상 화질 측정 척도)

  • Bae, Sung-Ho;Kim, Munchurl
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2015.11a
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    • pp.81-83
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    • 2015
  • 객관적 영상 화질 측정(Image Quality Assessment: IQA)방법은 영상 화질 최적화 문제해결을 목적으로 하는 영상 처리 및 컴퓨터 비전 분야에 매우 중요하게 사용된다. 이를 위해, 저복잡도, 고성능 및 좋은 수학적 특성(예를 들어, 척도성(metricability), 미분가능성(differentiability) 및 볼록 성질(convexity))을 모두 만족시키는 객관적 IQA 방법이 활발히 연구되어 왔다. 그러나, 위해 위에서 언급한 좋은 수학적 특성을 가지는 대부분의 객관적 IQA 방법들은 좋은 수학적 특성을 만족시키기 위해 상당한 예측성능의 감소를 초래했다. 본 논문은 위에서 언급한 좋은 수학적 특성을 모두 만족시키면서, 예측 성능이 향상된 새로운 IQA 방법을 제안한다. 인간 시각 체계의 감수영역은 광도 입력에 대해 공간 도메인에서 미분 형태의 응답을 가지므로, 제안 방법은 이러한 시각 체계 응답을 모방하여 기울기 연산자를 도입한다. 제안한 방법에서 도입한 기울기 연산자는 매우 단순하게 설계되어, 계산 복잡도가 매우 낮다. 광범위한 실험 결과, 제안하는 IQA 방법은 기존 수학적 특성이 좋은 IQA 방법들 대비 더 좋은 성능을 보이면서 계산 복잡도 또한 낮았다. 따라서 제안 IQA 방법은 다양한 영상 화질 최적화 문제에 매우 효과적으로 적용될 수 있다.

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Social Transformation of Students' Conceptual Model in an RME-based Differential Equations Course: An Analysis of Students' Use of Conceptual Metaphor (RME 기반 수학 교실에서의 개념적 모델의 사회적 변환: 미분방정식에 대한 개념적 은유 사용 패턴 분석)

  • 주미경;권오남
    • Journal of Educational Research in Mathematics
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    • v.14 no.3
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    • pp.221-237
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    • 2004
  • This research analyzed mathematical discourse of the students in an RME-based differential equations course at a university in order to investigate the social transformation of the students' conceptual model of differential equations. The analysis focused on the change in the students' use of conceptual metaphor for differential equations and pedagogical factors promoting the change. The analysis shows that discrete and quantitative conceptual model was prevalent in the beginning of the semester However, continuous and qualitative conceptual model emerged through the negotiation of mathematical meaning based on the inquiry of context problems. The participation in the project class has a positive impact on the extension of the students' conceptual model of differential equations and increases the fluency of the students' problem solving in differential equations. Moreover, this paper provides a discussion to identify the pedagogical factors Involved with the transformation of the students' conceptual model. The discussion highlights the sociocultural aspect of teaching and learning of mathematics and provides implications to improve teaching of mathematics in school.

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A study on the efficient cultural asset fire safety security plan (효율적인 문화재 화재안전 확보 방안에 관한 연구)

  • Kim, Yoo-Shik;Yoog, Chang-Il
    • Proceedings of the Korea Institute of Fire Science and Engineering Conference
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    • 2010.10a
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    • pp.109-116
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    • 2010
  • 전국 주요 목조 문화재 및 사찰 등을 직접 방문하여 확인 및 설문 등으로 연구하였으며, 문화재 화재에 있어서 소방법적인 초소한의 조건으로 화재에 대한 문제해결 방안의 모두가 될 수 없으므로 보다 적극적인 관리측면에서 지역 및 환경 등을 충분히 고려해야 한다. 또한 일반적인 소방시설 소화기 및 옥 내외소화전을 설치하였거나 설치하고자 하는 것은 단순한 소방법에 따른 매우 일반적인 화재에 대한 대비이다. 따라서 화지진압 시 수손피해 등 2차 피해에 대한 실질적인 해결방안과 문화재 및 사찰의 화재안전에 대한 영구적인 예방과 대응방안으로 미분무 소화시스템 설치를 제안하고자 한다.

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On-line Motion Synthesis Using Analytically Differentiable System Dynamics (분석적으로 미분 가능한 시스템 동역학을 이용한 온라인 동작 합성 기법)

  • Han, Daseong;Noh, Junyong;Shin, Joseph S.
    • Journal of the Korea Computer Graphics Society
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    • v.25 no.3
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    • pp.133-142
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    • 2019
  • In physics-based character animation, trajectory optimization has been widely adopted for automatic motion synthesis, through the prediction of an optimal sequence of future states of the character based on its system dynamics model. In general, the system dynamics model is neither in a closed form nor differentiable when it handles the contact dynamics between a character and the environment with rigid body collisions. Employing smoothed contact dynamics, researchers have suggested efficient trajectory optimization techniques based on numerical differentiation of the resulting system dynamics. However, the numerical derivative of the system dynamics model could be inaccurate unlike its analytical counterpart, which may affect the stability of trajectory optimization. In this paper, we propose a novel method to derive the closed-form derivative for the system dynamics by properly approximating the contact model. Based on the resulting derivatives of the system dynamics model, we also present a model predictive control (MPC)-based motion synthesis framework to robustly control the motion of a biped character according to on-line user input without any example motion data.

이상 유동에서의 음파 전달 특성 연구

  • 이성재;김경두;장원표;장근식
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.05a
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    • pp.286-291
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    • 1997
  • 이상 유동에서의 음파 전달 현상을 비평형, 비균질 이상 유동 방정식에 의하여 이론적으로 유도하였다 개발된 방법은 이상 계면에서의 압력 불연속성을 표면 장력 방정식에 의하여 해결하였으며, 이로 인하여 이상 유동 지배 방정식의 불량 설정된 초기치 문제(Ⅰ11-posed initial value problem)가 완전한 쌍곡형 편 미분 방정식군(Complete hyperbolic partial differential equation system)으로 만들어졌다. 새로이 개발된 방정식의 고유값인 음파의 속도는 실험 결과와 정확히 일치한다.

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A Fundamental Study on Early Compressive Strength Improvement of the Blast Furnace Slag Cement Mortar Using the Fine Particle Cement and Gypsum (석고 및 미분시멘트에 의한 고로슬래그 미분말 치환 시멘트 모르타르의 초기강도 향상에 관한 기초적 연구)

  • Han, Cheon-Goo;No, Dong-Hyun
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.4 no.3
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    • pp.90-97
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    • 2009
  • The purpose of the study was to examine basic property at the time of applying cast ('CS' below) and high fineness fine particle cement ('FC' below) as a stimulant to 20% substitution cement mortar of ground granulated blast-furnace slag ('BS' below) to settle a problem that early strength of BS mortar is lowered. The results were as follows. First of all, as a characteristic of fresh mortar, liquidity was reduced as much as BS substitution rate was increased. When substituting CS for BS 20%, it didn't have a large effect regardless of substitution rate. When substituting FC, it was reduced as much as substitution was increased. In the event of compressive strength, it was reduced as much as BS substitution was increased in early age. In age 28, it was somewhat increased by reflection of potential hydraulicity. With regard to improvement of early compressive/bending strength of BS 20% substitution mortar, when substituting CS, in early age, they were a little increased as much as addition rate was increased. When substituting FC, in early and 28 age, they were largely increased as much as substitution rate was increased. To settle a problem that early strength of BS 20% substitution mortar was lowered, CS substitution has a little effect and FC 25% substitution was similar to plain with only OPC. Therefore, when substituting FC 25%, it is expected that its quality will be improved.

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Properties of High Volume Blast Furnace Slag Concrete using Recycled Aggregate with Incineration Waste Ash (소각장애시의 치환에 따른 고로슬래그 미분말 다량치환 순환골재 콘크리트의 특성)

  • Han, Cheon-Goo;Lee, Hyang-Jae;Kim, Jun-Ho
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.1 no.2
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    • pp.107-113
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    • 2013
  • This study is the study desiring to solve the problem by utilizing the kinds of recycled resources considered to be troubled complementarily. Namely the reaction of potential hydraulicity of Blast Furnace Slag Powder (BS) shall be reacted with the alkali of Recycled Fine Aggregates Coarse Aggregate, it has been experimented to obtain the optimum value with the replacement ratio of incineration plant ash (WA) treated with the slaked lime as the experiment variable by solving the alkali of shortage with the Ordinary Portland Cement (OPC). As a result, the liquidity and the air volume are declined slightly as the replacement ratio of incineration plant ash WA increases, the mixture of incineration plant ash WA 1% has been analyzed to be the most suitable considering the viewpoint of effective handling of waste as the compression and the tensile strength showed the maximum value before and after 1% even though it was disadvantageous with the increase of chloride content.