• 제목/요약/키워드: Mathematical concept

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편마비환자의 중력선 이동에 따른 역학적 분석 (Biomechanical Analysis on the Shift of Gravity Line in Hemiplegic Patients)

  • 이혜영;정동훈;박래준;김진상
    • The Journal of Korean Physical Therapy
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    • 제11권1호
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    • pp.63-70
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    • 1999
  • This study was for mathematical method of calculating the joint reaction force during on single - leg stance on a normal and hemiplegic patients. It is important to compare the distance of the line of gravity from the hip joint on hemiplegic patients with this on normal in this study. In earlier studies, there is no include the concept about biomechanical analysis on the shin of line of gravity of hemiplegic patients. Though this concept, we found the compensation make the line of gravity closer to the supporting hip joint and the trunk was toward the side of paralysis. The result of the Joint reaction force on hemiplegic patients is found to be approximately $31.33\%$ in the unaffected side by biomechanical analysis.

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빅데이터, 비즈니스 애널리틱스, IoT: 경영의 새로운 도전과 기회 (Big Data, Business Analytics, and IoT: The Opportunities and Challenges for Business)

  • 장영재
    • 한국정보시스템학회지:정보시스템연구
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    • 제24권4호
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    • pp.139-152
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    • 2015
  • With the advancement of the Internet/IT technologies and the increased computation power, massive data can be collected, stored, and processed these days. The availability of large databases has brought forth a new era in which companies are hard pressed to find innovative ways to utilize immense amounts of data at their disposal. Indeed, data has opened a new age of business operations and management. There are already many cases of innovative businesses reaping success thanks to scientific decisions based on data analysis and mathematical algorithms. Big Data is a new paradigm in itself. In this article, Big Data is viewed as a new perspective rather than a new technology. This value centric definition of Big Data provides a new insight and opportunities. Moreover, the Business Analytics, which is the framework of creating tangible results in management, is introduced. Then the Internet of Things (IoT), another innovative concept of data collection and networking, is presented and how this new concept can be interpreted with Big Data in terms of the value centric perspective. The challenges and opportunities with these new concepts are also discussed.

Erdniev의 교수학적 단위의 확장 및 그의 초등학교 수학교과서의 확장된 교수학적 단위에 대한 연구 (A Study on the Erdniev's Expansion of Didactical Unit and Expanded Didactical Unit in a His Mathematics Textbook of Elementary School)

  • 한인기
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제13권1호
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    • pp.37-48
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    • 2010
  • 본 연구에서는 문헌들의 분석을 통해 교수학적 단위의 개념을 규정하고, Erdniev의 연구들을 분석하여 교수학적 단위를 확장하는 구체적인 방법들을 제시하였다. 그리고 Erdniev의 수학교과서를 분석하여, 교수학적 단위의 확장 개념이 수학교과서에 어떻게 구현되었는가를 조사하였다, 특히 확장된 교수화적 단위에 관련된 수학교과서 분석 연구에서는 Erdniev의 초등학교 3학년 수학교과서의 소단원 '두 연산이 포함된 문제'에 포함된 교과내용을 교수학적 단위의 확장 방법, 확장된 연습문제의 형태, 구조를 분석하였다. 본 연구의 결과를 통해, 교수학적 단위의 확장에 관련된 구체적인 방법들이 우리나라의 수학교육학 연구에 활용될 수 있을 것으로 기대되며, 교수학적 단위의 확장 개념이 구현된 수학교과서의 분석학 교수-학습 방법의 새로운 접근 가능성을 제공할 수 있을 것으로 기대된다.

미분법 단원에서 용어의 문제 (A Study on the Problem of Terminology in Calculus)

  • 한대희
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.495-507
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    • 1998
  • This article intends to review what problems the terms in calculus have and how those problems are caused. For this purpose We make examinations on the considerations in the analysis of mathematical terminology, which includes the problems of general and technical terms, the meaning and the boundary of words, their consistency, the name and meaning, concept and their concept images, translations and qwerty effects. And in chapter 3, We analyse the textbook which are currently used, through which I was able to find out that the terms in calculus have some problems, In other words, the key terms such as "differentiable", "differential coefficient", "differential" have their roots in the term "differential" but the term "derived function" is very distinct from other terms and thus obstructs the consistency of terms. And the central term "differential" is being used without clear definition. In particular, the fact that "differential", when used in its arbitrary definition, has the image of "splitting minutely" can be an obstacle to understanding the exact concepts of calculus. In chapter 4, We make a review on the history of calculus and the term "differential" currently used in modern mathematics so that I can identify the origin of the problem connected with the usage of the term "differential". We should recognize the specified problems and its causes and keep their instructional implications in mind. Furthermore, following researches and discussions should be made on whether the terminology system of calculus should be reestablished and how the reestablishment should be made.e terminology system of calculus should be reestablished and how the reestablishment should be made.

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수평하중을 받는 고층철골가새골조의 정량적인 횡변위제어에 관한 연구 (A Study on Quantitative Lateral Drift Control of Tall Steel Braced Frames subject to Horizontal Loads)

  • 김호수;이한주
    • 한국강구조학회 논문집
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    • 제12권4호통권47호
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    • pp.397-406
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    • 2000
  • 본 연구는 수평하중을 받는 고층철골가새골조의 횡변위를 정량적으로 제어하는 효율적인 최적화 기법을 제시한다. 이를 위해 철골가새골조의 거동특성에 근거한 변위 민감도를 구성하고 수학적계획법의 일반성을 유지하면서 규모가 큰 문제도 효율적으로 다를 수 있는 근사화 개념이 도입된다. 아울러 단면 재선정시 상용화된 표준철골단면을 이용하는 이산형 최적화 방안도 고려한다. 제시된 기법의 효율성을 검토하기 위해 세 가지 종류의 12층 철골가새골조와 30층의 가새보강된 철골조 모델이 고려된다.

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여산믹스문제를 위한 발견적접근 (A Heuristic Approach to Budget-Mix Problems)

  • 이재관
    • 한국국방경영분석학회지
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    • 제6권1호
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    • pp.93-101
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    • 1980
  • An effectively designed budget system in the poor resources environment necessarily has three design criteria : (i) to be both planning-oriented and control-oriented, (ii) to be both rationalistic and realistic, (iii) to be sensitive to the variations of resources environment. PPB system is an extreme (planning-oriented and rationalistic) and conventional OEB/OUB system is the other extreme (control-oriented and incrementalistic). Generally, the merits of rationalism are limited because of the infeasibility of applications. Hence, mixtures of the two extremes such as MBO, ZBB, and RZBB have been examined and applied during the last decade. The classical mathematical models of capital budgeting are the starting points of the development of the Budget-Mix Model introduced in this paper. They are modified by the followings: (i) technological-resource constraints, (ii) bounded-variable constraint, (iii) the exchange rules. Special emphasis is laid on the above (iii), because we need more efficient interresource exchanges in the budget-mix process. The Budget-Mix Model is not based on optimization, but a heuristic approach which assures a satisficing solution. And the application fields of this model range between the incremental Nonzero-Base Budgeting and the rational Zero-Base Budgeting. In this thesis, the author suggests 'the budget- mix concept' and a budget-mix model. Budget-mix is a decision process of making program-mix and resource-mix together. For keeping this concept in the existing organization realistic, we need the development of quantitative models describing budget-mix situations.

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COMPACTNESS AND DIRICHLET'S PRINCIPLE

  • Seo, Jin Keun;Zorgati, Hamdi
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제18권2호
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    • pp.193-207
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    • 2014
  • In this paper we explore the emergence of the notion of compactness within its historical beginning through rigor versus intuition modes in the treatment of Dirichlet's principle. We emphasize on the intuition in Riemann's statement on the principle criticized by Weierstrass' requirement of rigor followed by Hilbert's restatement again criticized by Hadamard, which pushed the ascension of the notion of compactness in the analysis of PDEs. A brief overview of some techniques and problems involving compactness is presented illustrating the importance of this notion. Compactness is discussed here to raise educational issues regarding rigor vs intuition in mathematical studies. The concept of compactness advanced rapidly after Weierstrass's famous criticism of Riemann's use of the Dirichlet principle. The rigor of Weierstrass contributed to establishment of the concept of compactness, but such a focus on rigor blinded mathematicians to big pictures. Fortunately, Poincar$\acute{e}$ and Hilbert defended Riemann's use of the Dirichlet principle and found a balance between rigor and intuition. There is no theorem without rigor, but we should not be a slave of rigor. Rigor (highly detailed examination with toy models) and intuition (broader view with real models) are essentially complementary to each other.

강성최적설계법을 이용한 아웃리거 시스템의 거동특성 및 효율성 평가 (Structural Behavior Characteristics and Efficiency Evaluation of Outrigger System using Stiffness-Based Optimal Design Technique)

  • 김호수;이한주
    • 한국공간구조학회논문집
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    • 제5권3호
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    • pp.123-130
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    • 2005
  • 본 연구에서는 횡하중을 받는 아웃리거 시스템의 횡변위를 정량적으로 제어할 수 있는 효율적인 강성최적설계기법을 제시하고 이를 이용하여 아웃리거 시스템의 거동특성 및 효율성을 평가하고자 한다. 이를 위해 아웃리거를 이용한 고층 구조물의 거동특성을 고려한 민감도 해석을 수행하며 아울러 수학적계획법의 일반성을 유지하면서도, 큰 규모의 문제도 효율적으로 다룰 수 있는 근사화 개념을 도입하여 구속조건식을 설정한다. 특히 초기에 주어진 단면형상이 최적설계 과정동안 계속 유지된다는 가정을 이용하여 부재재설계 기법을 개발한다. 제시된 정량적인 횡변위 제어 방안의 효용성을 검토하기 위해 네 가지 형태의 50층 고층구조물 예제가 고려된다.

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수동형 해양 시역전 수중음향장벽과 수중탐지에의 응용 (Underwater Acoustic Barrier with Passive Ocean Time Reversal and Application to Underwater Detection)

  • 신기철;김재수
    • 한국음향학회지
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    • 제31권8호
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    • pp.551-560
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    • 2012
  • 시역전 기술을 활용한 수중음향장벽에 의한 수중물체 탐지는 능동소나와 수동소나의 기법과 이론적 배경이 명확한 시역전 처리의 개념을 포함하고 있다. 본 논문에서는 수동형 해양 시역전에 의한 수중탐지의 개념과 이론을 수립하였다. 또한 수중음향 전파모델을 활용하여 모델링을 통해 수동형 시역전 수중음향장벽의 성능 예측을 수행하였다. 본 연구의 결과는 수동형 시역전 개념을 이용한 수중음향장벽 탐지시스템의 설계 시 유용한 성능예측 도구로 활용될 수 있다.

다분야 최적화에서의 근사모델 관리기법의 활용 (Managing Approximation Models in Multidisciplinary Optimization)

  • 양영순;정현승;연윤석
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.141-148
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    • 2000
  • In system design, it is not always possible that all decision makers can cooperate fully and thus avoid conflict. They each control a specified subset of design variables and seek to minimize their own cost functions subject to their individual constraints. However, a system management team makes every effort to coordinate multiple disciplines and overcome such noncooperative environment. Although full cooperation is difficult to achieve, noncooperation also should be avoided as possible. Our approach is to predict the results of their cooperation and generate approximate Pareto set for their multiple objectives. The Pareto set can be obtained according to the degree of one's conceding coupling variables in the other's favor. We employ approximation concept for modelling this coordination and the mutiobjective genetic algorithm for exploring the coupling variable space for obtaining an approximate Pareto set. The approximation management concept is also used for improving the accuracy of the Pareto set. The exploration for the coupling variable space is more efficient because of its smaller dimension than the design variable space. Also, our approach doesn't force the disciplines to change their own way of running analysis and synthesis tools. Since the decision making process is not sequential, the required time can be reduced comparing to the existing multidisciplinary optimization techniques. This approach is applied to some mathematical examples and structural optimization problems.

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