• Title/Summary/Keyword: integral representation

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Teaching Linear Algebra to High School Students

  • Choe, Young-Han
    • Research in Mathematical Education
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    • v.8 no.2
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    • pp.107-114
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    • 2004
  • University teachers of linear algebra often feel annoyed and disarmed when faced with the inability of their students to cope with concepts that they consider to be very simple. Usually, they lay the blame on the impossibility for the students to use geometrical intuition or the lack of practice in basic logic and set theory. J.-L. Dorier [(2002): Teaching Linear Algebra at University. In: T. Li (Ed.), Proceedings of the International Congress of Mathematicians (Beijing: August 20-28, 2002), Vol. III: Invited Lectures (pp. 875-884). Beijing: Higher Education Press] mentioned that the situation could not be improved substantially with the teaching of Cartesian geometry or/and logic and set theory prior to the linear algebra. In East Asian countries, science-orientated mathematics curricula of the high schools consist of calculus with many other materials. To understand differential and integral calculus efficiently or for other reasons, students have to learn a lot of content (and concepts) in linear algebra, such as ordered pairs, n-tuple numbers, planar and spatial coordinates, vectors, polynomials, matrices, etc., from an early age. The content of linear algebra is spread out from grades 7 to 12. When the high school teachers teach the content of linear algebra, however, they do not concern much about the concepts of content. With small effort, teachers can help the students to build concepts of vocabularies and languages of linear algebra.

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Optimal sensor placement for health monitoring of high-rise structure based on collaborative-climb monkey algorithm

  • Yi, Ting-Hua;Zhou, Guang-Dong;Li, Hong-Nan;Zhang, Xu-Dong
    • Structural Engineering and Mechanics
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    • v.54 no.2
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    • pp.305-317
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    • 2015
  • Optimal sensor placement (OSP) is an integral component in the design of an effective structural health monitoring (SHM) system. This paper describes the implementation of a novel collaborative-climb monkey algorithm (CMA), which combines the artificial fish swarm algorithm (AFSA) with the monkey algorithm (MA), as a strategy for the optimal placement of a predefined number of sensors. Different from the original MA, the dual-structure coding method is adopted for the representation of design variables. The collaborative-climb process that can make the full use of the monkeys' experiences to guide the movement is proposed and incorporated in the CMA to speed up the search efficiency of the algorithm. The effectiveness of the proposed algorithm is demonstrated by a numerical example with a high-rise structure. The results show that the proposed CMA algorithm can provide a robust design for sensor networks, which exhibits superior convergence characteristics when compared to the original MA using the dual-structure coding method.

Tradition and Transformation of Batik in Indonesia (인도네시아 바틱의 전승과 활용)

  • Kim, Soon-Young
    • Journal of the Korean Society of Clothing and Textiles
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    • v.37 no.5
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    • pp.676-690
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    • 2013
  • This study explored the historical meaning and the present practices of Indonesian batik. Relevant literature was reviewed first; subsequently, interviews and observations were conducted to achieve the purpose of the study. Historically, batik was an integral part of the Javanese court art as well as a representation of each regional culture. Batik also became an important means to reveal a national identity in postcolonial Indonesia in the 1950s. There exist two types of traditional and modern type batik in present Indonesia. The traditional batik refers to batik tulis, batik cap, and the combination of tulis and cap. The modern batik is comprised of a batik print as well as the combination of the print and the traditional batik. The traditional batik was practiced at the small-sized village batik workshops and in the government batik research center. A few batik workshops often co-operate with modern screen print factories; however, the use natural dyes for the dyeing of batik cloth is rarely found. Batik was used for varied objects made from fabric materials that include clothing, small fashion items, living supplies and furniture, as well as fine art such as paintings and wooden crafts.

The Performance Verification of Optimal State Feedback Controllers via The Inverted Pendulum (도립진자 시스템을 통한 최적 상태 되먹임 제어기의 성능 검증)

  • Lee, Jong-Yeon;Lee, Bo-Ra;Hyun, Chang-Ho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.768-773
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    • 2010
  • This paper presents the performance verification of the optimal state feedback controller via inverted pendulum systems. The proposed method generates the optimal control inputs satisfying both the constrained input and the performance specification. In addition, it reduces the steady-state error by adopting the integral control technique. In order to verify the performance of the proposed method, we apply both the proposed method and the general state feedback control to an inverted pendulum, CEM-IP-01 in the experiment.

A Multiresolution Wavelet Scattering Analysis of Microstrip Patch antennas (마이크로스트립 패치 안테나의 다중 분해능 웨이블릿 산란해석법)

  • 강병용;주세훈;빈영부;김형훈;김형동
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.9 no.5
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    • pp.640-647
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    • 1998
  • Microstrip patch antennas are analyzed by a multiresolution wavelet method. The spectral Green's dyad of the structure is obtained and its joint spatial-spectral domain representations are presented. Based on the joint spatial-spectral domain representation, we show that the spectral-domain wavelets are useful in the analysis of this problem. We obtain the matrix equations of the integral equations of this Green's dyad by using the method of moment(MoM), and efficiently solve the problem using the spectral domain wavelet transform concepts in conjuction with the conjugate gradient method. The results for a single-layered square patch are compared with those of conventional MoM and CG-FFT.

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Simulations of the Unsteady Viscous Flow Around an Impulsively Started Cylinder Using Improved Vortex Particle Method (개선된 입자와법을 이용한 급 출발하는 실린더 주위의 비정상 점성 유동 시뮬레이션)

  • Jin, Dong-Sik;Lee, Sang-Hwan;Lee, Ju-Hee
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.5
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    • pp.733-743
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    • 2000
  • We solve the integral representation of the Navier-Stokes equations in a lagrangian view by tracking the particles, which have vortex strengths. We simulate the unsteady viscous flow around an impulsively started cylinder using the vortex particle method. Particles are advanced via the Biot-Savart law for a lagrangian evolution of particles. The particle strength is modified based on the scheme of particle strength exchange. The solid boundary satisfies the no-slip boundary condition by the vorticity generation algorithm. We newly modify the diffusion scheme and the boundary condition for simulating an unsteady flow efficiently. To save the computation time, we propose the mixed scheme of particle strength exchange and core expansion. We also use a lot of panels to ignore the curvature of the cylinder, and not to solve the evaluation of the surface density. Results are compared to those from other theoretical and experimental works.

Smart tracking design for aerial system via fuzzy nonlinear criterion

  • Wang, Ruei-yuan;Hung, C.C.;Ling, Hsiao-Chi
    • Smart Structures and Systems
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    • v.29 no.4
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    • pp.617-624
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    • 2022
  • A new intelligent adaptive control scheme was proposed that combines the control based on interference observer and fuzzy adaptive s-curve for flight path tracking control of unmanned aerial vehicle (UAV). The most important contribution is that the control configurations don't need to know the uncertainty limit of the vehicle and the influence of interference is removed. The proposed control law is an integration of fuzzy control estimator and adaptive proportional integral (PI) compensator with input. The rated feedback drive specifies the desired dynamic properties of the closed control loop based on the known properties of the preferred acceleration vector. At the same time, the adaptive PI control compensate for the unknown of perturbation. Additional terms such as s-surface control can ensure rapid convergence due to the non-linear representation on the surface and also improve the stability. In addition, the observer improves the robustness of the adaptive fuzzy system. It has been proven that the stability of the regulatory system can be ensured according to linear matrix equality based Lyapunov's theory. In summary, the numerical simulation results show the efficiency and the feasibility by the use of the robust control methodology.

A Study on the Modeling and Control of a Flexible One-Link Manipulator Moving in a Vertical Plane (수직면에서 회전운동 하는 단일 탄성링크를 가지는 매니퓰레이터의 모델링과 제어에 관한 연구)

  • Kim, Jongdae;Oh, Seokhyung;Kim, Kiho;Oh, Chaeyoun
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.11
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    • pp.132-142
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    • 1996
  • This paper presents a technique to model and control a manipulator which has a flexible link and moves in a vertical plane. The flexible link is modeled as an Euler-Bernoulli Beam. Elastic deformation of the flexible link is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. This paper presents a simple technique to improve the correctness of the developed model. The final model including the shortening effect due to elastic deformation correlates very well with experimental results. The free body motion simulation shows that two assumed modes for the representation of the elastic deformation is proper in terms of the model size and correctness. A control algorithm is developed using PID control technique. The proportional, integral and derivative control gains are determined based on dominant pole placement method with a rigid one-link manipulator. A position control simulation shows that the control algorithm can be used to control the position and residual oscillation of the flexible one-link manipulator effectively.

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A Study on the Aesthetic Characteristics of the Digital Rotoscoping Images in Jonas Odell's Animations (요나스 오델(Jonas Odell)의 작품 세계에 나타난 디지털 로토스코핑 이미지의 특성)

  • Kim, Young-Ok
    • Cartoon and Animation Studies
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    • s.39
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    • pp.111-132
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    • 2015
  • Although Rotoscoping technique has been used for a long time to mimic the natural and smooth motion since the early 20th century, its artistic value was devalued as tricks because it traces the already recorded images. But the fact that the rotoscoping images can cross the boundaries between animation and live action in an infinite integral freedom in the digital era became rather expansive new aesthetic possibilities of representation of the reality. In addition, Jonas Odell's animations such as (2010), (2008), (2006) are good example to prove that the rotoscoping images also can serve as means to enhance its narrative. This study is to analyze how rotoscoping images act as a unique role in relation with the narrative based on the said person's real stories and realistic images. I argue that his animated films constantly contain these three characteristics -Images to mediate Auditory sensitivity as a record of inner metaphysical reality, anonymous images to represent a specific existential character, and images that act as physical representation that holds the physical space/time and related memory. This reveals that rotoscoping images in this digital era went beyond reproduction for natural movements or special type of style. It rather suggests new layers of experience, and acquires new value in animation. I hope that this study could serve as a foundation to rediscover and re-position the value of rotoscoping images as well as good opportunity to introduce very talented swedish animation artist who already received global attention with his unique philosophical and aesthetic style.

Open BIM-Based Quality Control for Enhancing the Design Quality in the Architectural Design Phase (건축설계 단계에서 설계품질 향상을 위한 개방형 BIM기반 품질관리 방안)

  • Seo, Jong-Cheol;Kim, Han-Joon;Kim, In-Han
    • Korean Journal of Construction Engineering and Management
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    • v.13 no.4
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    • pp.3-15
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    • 2012
  • Currently, Building Information Modeling (BIM) is an emerging technological shift that involves applying and maintaining an integral digital representation of all building information for different phases of the project life-cycle. Although BIM has been recognized as a main stream in the construction industry, it is difficult to ensure the quality of BIM data due to the problems such as internal errors of BIM tools and lack of guidelines considering design quality. Such problems give lots of difficulties to BIM adoption for designers, constructors, and owners. Therefore, it is necessary to develop the requirements including the object-oriented modeling method and property definition by applying the Industry Foundation Classes (IFC) which is an ISO/PAS 16739 standard for ensuring the quality of BIM data. This research aims at proposing the requirements considering the quality of BIM data and demonstrating the efficiency of the requirements with using the Solibri Model Checker (SMC) which is a quality control tool in a case study.