• Imaging Science in Dentistry
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• 제51권3호
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• pp.337-339
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• 2021

• Journal of Mechanical Science and Technology
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• 제18권2호
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• pp.193-202
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• 2004

This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1996년도 춘계학술대회 논문집
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• pp.531-535
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• 1996

Computer aided conceptual solution of engineering problems can be effectively implemented by qualitative reasoning based on a physical model. Qualitative reasoning needs modeling paradigm which provides intellignet control of modeling assumptions and robust inferences without quantitative information about the system. We developed reasoning method using new algebra of qualitative mathematics. The method is applied to a conceptual design scheme of anadaptive control system of cutting process. The method identifies differences between proportional and proportional-integral control scheme of cutting process. It is shown that unfeasible investment could be prevented in the early conceptual stage by the qualitative reasoning procedures proposed in this paper.

• 한국콘텐츠학회논문지
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• 제8권1호
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• pp.116-127
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• 2008

제 7차 교육과정에서 초 중등학교의 컴퓨터교육과정이 컴퓨터 활용 중심 내용으로 편성되어 컴퓨터를 이용한 다양한 분야의 문제를 해결할 수 있는 능력을 가르치는데 한계가 있다. 최근 들어 초.중등학교에서 미래 교육이 요구하는 창의적이며 논리적인 사고력과 문제해결력을 신장할 수 있도록 컴퓨터 교육 과정을 변화시키는 연구들이 진행되고 있다. 이러한 능력을 신장시키기 위해 필수적인 교과목의 내용이 컴퓨터 프로그래밍이지만 아직까지 학습자의 학습 동기와 학습 전이를 높일 수 있는 체계화된 프로그래밍 교육과정에 대한 연구가 미흡하다. 본 논문에서는 초 중등학교에서 컴퓨터 교육과 밀접한 관련이 있으면서 교과 내용의 연계성을 갖추고 있는 수학교육과정 내용을 분석하여 프로그래밍 관련 요소를 추출한 후, 이를 기반으로 초 중등학교에서 연속적이고 계열적 내용에 따라 컴퓨터 프로그래밍을 체계적으로 가르칠 수 있도록 프로그래밍 교육 과정을 제시한다. 그리고 본 논문에서 제안한 컴퓨터 프로그래밍 교과과정을 이용하여 프로그래밍 기법을 가르치기 위한 수업 모형과 학습지도안을 개발한다.

• Advances in aircraft and spacecraft science
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• 제9권4호
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• pp.335-347
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• 2022

Airport operations are well-known as a bottleneck in the air traffic system, putting growing pressure on the world's busiest airports to schedule arrivals and departures as efficiently as possible. Effective planning and control are essential for increasing airport efficiency and reducing aircraft delays. Many algorithms for controlling the arrival/departure queuing area are handled, considering it as first in first out queues, where any available aircraft can take off regardless of its relative sequence with other aircraft. In the suggested system, this problem was compared to the problem of scheduling n tasks (plane takeoffs and landings) on a multiple machine (runways). The proposed technique decreases delays (via efficient runway allocation or allowing aircraft to be expedited to reach a scheduled time) to enhance runway capacity and decrease delays. The aircraft scheduling problem entails arranging aircraft on available runways and scheduling their landings and departures while considering any operational constraints. The topic of this work is the scheduling of aircraft landings and takeoffs on multiple runways. Each aircraft's takeoff and landing schedules have time windows, as well as minimum separation intervals between landings and takeoffs. We present and evaluate a variety of comprehensive concepts and solutions for scheduling aircraft arrival and departure times, intending to reduce delays relative to scheduled times. When compared to First Come First Serve scheduling algorithm, the suggested strategy is usually successful in reducing the average waiting time and average tardiness while optimizing runway use.

• 대한수학교육학회지:수학교육학연구
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• 제15권2호
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• pp.215-232
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• 2005

컴퓨터 대수 체계(CAS) 계산기는 점차 학교와 대학에서 보편화되어가고 있다 이 계산기는 교사와 학생들에게 꽤 정교한 수학적 기능을 제공하지만, 현재로서는 어떻게 잘 활용될 수 있는지에 대해서 명확하지 않다. 특히 학생들의 학습과 문제 해결의 통합은 문제로 남아있다. 본 논문에서 우리는 TI-89 CAS 계산기를 대학에 입학하려는 학생들에게 도입하는 연구에서 이러한 문제를 제기하고 학생들이 그들의 학습에서 CAS 계산기를 조작하면서 형성하는 협력 관계의 여러 측면을 기술하였다.

• Kyungpook Mathematical Journal
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• 제61권2호
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• pp.353-369
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• 2021

In this paper, we examine and analyze the concept of different non-integer chaotic systems with external disturbances, uncertainties, and input non-linearities. We consider both drive and response systems with external bounded disturbances and uncertainties. We also consider non-linear control inputs. For synchronization, we introduce the adaptive sliding mode technique, in which we establish the stability of the controlled system by a control which estimates uncertainties and disturbances, and then applies a suitable sliding surface to control them. We use computer simulations to established the efficacy and adeptness of the prospective scheme.

• ETRI Journal
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• 제27권2호
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• pp.195-205
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• 2005

In this paper, an error-free Butcher algorithm is introduced to study the singular system of a linear electrical circuit for time invariant and time varying cases. The discrete solutions obtained using Runge-Kutta (RK)-Butcher algorithms are compared with the exact solutions of the electrical circuit problem and are found to be very accurate. Stability regions for the single term Walsh series (STWS) method and the RK-Butcher algorithm are presented. Error graphs for inductor currents and capacitor voltages are presented in a graphical form to show the efficiency of the RK-Butcher algorithm. This RK-Butcher algorithm can be easily implemented in a digital computer for any singular system of electrical circuits.

• 대한수학교육학회지:수학교육학연구
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• 제8권2호
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• pp.663-677
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• 1998

The development of Science and Technology and the social change require new paradigm in Education. In a traditional paradigm, learners have been regarded as a passive being and knowledge could be transmitted to learner. But within this paradigm, it is difficult to confront the social change and to develop problem solving skills in various context. This results in a new, alternative perspective, Constructive paradigm. As an alternative to the traditional settings, Constructive paradigm emphasizes the learner centered instruction. The reform movement in mathematics education including NCTM's standards revolves around this paradigm and the open education movement in our educational system is based on it. Open education values learner's interest, autonomy and internal motivation in learning. However, open education has been misunderstood by most of the teachers. It should be understood as the change of paradigm. In this study, as a way of helping students connect mathematics to their everyday lives and construct meaningful mathematical knowledge and concept, mathematical modelling is suggested. It consists of posing and specifying the real problem, formulation and constructing a mathematical model, analyzing and solving a mathematical problem. interpreting the solution and comparing with reality and communicating results. In this process, technology like computer can be a powerful tool. It can help students explore various problems more easily and concretely.

• 공학교육연구
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• 제24권3호
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• pp.50-57
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• 2021

Although the mathematics education process in AI education is a very important issue, little cases are reported in developing effective methods on AI and mathematics education at the university level. The universities cover all fields of mathematics in their curriculums, but they lack in connecting and applying the math knowledge to AI in an efficient manner. Students are hardly interested in taking many math courses and it gets worse for the students in humanities, social sciences and arts. But university education is very slow in adapting to rapidly changing new technologies in the real world. AI is a technology that is changing the paradigm of the century, so every one should be familiar with this technology but it requires fundamental math knowledge. It is not fair for the students to study all math subjects and ride on the AI train. We recognize that three key elements, SW knowledge, mathematical knowledge, and domain knowledge, are required in applying AI technology to the real world problems. This study proposes a modular approach of studying mathematics knowledge while connecting the math to different domain problems using AI techniques. We also show a modular curriculum that is developed for using math for AI-driven autonomous driving.