• Title/Summary/Keyword: 수학 문제해결

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Three-Dimensional Vibration Analysis of Deep, Nonlinearly Tapered Rods and Beams with Circular Cross-Section (원형단면의 깊은 비선형 테이퍼 봉과 보의 3차원 진동해석)

  • 심현주;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.251-260
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    • 2003
  • A three dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of deep, tapered rods and beams with circular cross section. Unlike conventional rod and beam theories, which are mathematically one-dimensional (1-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components u/sup r/, u/sub θ/ and u/sub z/, in the radial, circumferential, and axial directions, respectively, are taken to be sinusoidal in time, periodic in , and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the rods and beams are formulated, the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of the rods and beams. Novel numerical results are tabulated for nine different tapered rods and beams with linear, quadratic, and cubic variations of radial thickness in the axial direction using the 3D theory. Comparisons are also made with results for linearly tapered beams from 1-D classical Euler-Bernoulli beam theory.

The Relationship between Conservation Reasoning and Functional Prefrontal Lobe in Elementary School Students (초등학교 저학년 학생의 전두엽연합령의 기능과 보존논리 형성과의 관계에 대한 연구)

  • Kim, Young-Shin;Kwon, Yong-Ju;Bae, Yoon-Ju;Jeong, Jin-Su;Jeong, Wan-Ho
    • Journal of The Korean Association For Science Education
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    • v.24 no.3
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    • pp.417-428
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    • 2004
  • Conservation reasoning makes operational thought possible as a functional tool and it is the essential concept not only in the area of science and mathematics but also in several aspects of daily life. The abilities to solve mathematical problems and that of scientific reasoning and abstract way of thinking depend on whether thereis conservation reasoning or not and they are critical concepts that enables us to confirm the steps of cognitive development. Therefor in the study, we emphasized the issue that is the ways to speed up the scientific era by analyzing the correlation between the formation of conservation reasoning and neuro-cognitive variables. About 50% of 1-3 grade students did not had conservation reasoning skills. The formation of conservations was not linear. Scientific reasoning ability, planing and inhibiting ability were significantly different in levels of conservation, And, conservation reasonings were significantly correlated with cognitive variables. Scientific reasoning and planning ability significantly explained about 20% of the conservation reasoning ability of 1-3 grades.

Connection between Fourier of Signal Processing and Shannon of 5G SmartPhone (5G 스마트폰의 샤논과 신호처리의 푸리에의 표본화에서 만남)

  • Kim, Jeong-Su;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.6
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    • pp.69-78
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    • 2017
  • Shannon of the 5G smartphone and Fourier of the signal processing meet in the sampling theorem (2 times the highest frequency 1). In this paper, the initial Shannon Theorem finds the Shannon capacity at the point-to-point, but the 5G shows on the Relay channel that the technology has evolved into Multi Point MIMO. Fourier transforms are signal processing with fixed parameters. We analyzed the performance by proposing a 2N-1 multivariate Fourier-Jacket transform in the multimedia age. In this study, the authors tackle this signal processing complexity issue by proposing a Jacket-based fast method for reducing the precoding/decoding complexity in terms of time computation. Jacket transforms have shown to find applications in signal processing and coding theory. Jacket transforms are defined to be $n{\times}n$ matrices $A=(a_{jk})$ over a field F with the property $AA^{\dot{+}}=nl_n$, where $A^{\dot{+}}$ is the transpose matrix of the element-wise inverse of A, that is, $A^{\dot{+}}=(a^{-1}_{kj})$, which generalise Hadamard transforms and centre weighted Hadamard transforms. In particular, exploiting the Jacket transform properties, the authors propose a new eigenvalue decomposition (EVD) method with application in precoding and decoding of distributive multi-input multi-output channels in relay-based DF cooperative wireless networks in which the transmission is based on using single-symbol decodable space-time block codes. The authors show that the proposed Jacket-based method of EVD has significant reduction in its computational time as compared to the conventional-based EVD method. Performance in terms of computational time reduction is evaluated quantitatively through mathematical analysis and numerical results.

Students' Perception of Teaching Activities and Verbal Interaction in Science Classes at the Gifted Science High School (과학영재학교 교수활동에 관한 학생인식 및 과학수업에서 상호작용 유형)

  • Park Soo-Kyong
    • Journal of the Korean earth science society
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    • v.26 no.1
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    • pp.30-40
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    • 2005
  • The purpose of this study is to analyze gifted students' perception of the teaching activities at the gifted science high school (Busan Science Academy), in Busan, Korea, and to investigate the science experiment class practice. In this study, a questionnaire about the curriculum courses, teaching strategies, and evaluation method of the school was administered to 139 gifted students. The verbal interactions during the science experiment class were audio and videotaped, transcribed, and analyzed. The results of this study are as follows: First, according to the gifted students' perception, the credits of specialized courses and advanced elective courses need to be increased and the credits of general courses need to be reduced. Second, teachers at this school mainly use teaching strategies such as lecture, group activities, and discussion; on the other hand, the students prefer diverse teaching strategies such as discussion, lecture, experiment, inquiring activities, and problem solving. Third, students prefer a writing test assessment rather than a written report assessment or portfolio assessment. Fourth, the patterns of verbal interaction were different depending on the level of the teachers' questions and interactions between the students in the experiment class facilitated students' inquiry.

Engineering basic competencies level and educatkonal needs analysis of engineering college graduates (공대 졸업생들의 공학기초능력 수준과 교육 요구 분석)

  • Hahm, Seung-Yeon
    • 대한공업교육학회지
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    • v.34 no.1
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    • pp.196-209
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    • 2009
  • The purpose of this study was to analyze engineering basic competencies about the time completed a course and educational needs of engineering college graduates. Survey method using questionnaire was the major research method of this study. A survey of 807 engineering college graduates was carried out. Questionnaire were made of the level of engineering basic competencies of engineering college graduates, its priorities of actual vocation and level of engineering basic competencies of major. Major results of the study, some recommendations for future researches were made as follows: The level of engineering basic competencies of engineering college graduates was 3.3 average(5 full marks). Engineering basic competencies that educational needs were high respectively, were an ability to communicate effectively, an ability to design a system, component, or process to meet desired needs, an ability to function on multi-disciplinary teams, an ability to understand global culture and cooperate internationally, an ability to design and conduct experiment as well as to analyze and interpret data, and an ability to engage in life-long learning.

A Study on Performance Improvement of Fruit Vegetables Automatic Grafting System (과채류 접목시스템 개선 연구)

  • Kang, Dong Hyeon;Lee, Si Young;Kim, Jong Koo;Park, Min Jung;Son, Jin Kwan;Yun, Sung-Wook;An, Se Woong;Jung, In Kyu
    • Journal of Bio-Environment Control
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    • v.26 no.3
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    • pp.215-220
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    • 2017
  • This study was conducted to improve the insufficiency of fruit vegetable grafting system developed by National Institute of Agricultural Sciences, Rural Development Administration. When the rotary blade cut the stem of scions and rootstocks, the grafting failure at curved cutting surfaces happened. The cutting depth of a tomato seedling by a rotated cutter was calculated 0.11 mm even when the cutting arm length and the maximum stem diameter were 50 mm and 5 mm, respectively. Mathematical analysis and high-speed photography showed that there was no problem by cutting in straight the stem of scions and rootstocks. The compression test of seedling stems to design the optimal shape of gripper showed that stems were not completely restored when they were compressed above 0.8 mm and 0.6 mm in case of rootstocks and scion, respectively. This study found that the bending angle of stem of tomato seedlings at the grafting period was 10 degree on average. The optimal gripper finger was the edge finger type which could be precisely set center point by adjusting the distance between fingers. In addition, it was found that most of seedling could be grasped without damage when the finger-to-finger distances is set to 2.5 mm for scion and 3.0 mm for rootstocks and finger are coated by 1 mm-thick flexible material.

Hybrid Multicast/Broadcast Algorithm for Highly-Demanded Video Services with Low Complexity (Highly-Demanded 비디오 서비스를 위한 낮은 복잡도의 혼합 멀티캐스트/브로드캐스트 알고리즘)

  • Li, Can;Bahk, Sae-Woong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.1B
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    • pp.101-110
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    • 2011
  • With the deployment of broadband networking technology, many clients are enabled to receive various Video on Demand (VoD) services. To support many clients, the network should be designed by considering the following factors: viewer's waiting time, buffer requirement at each client, number of channel required for video delivery, and video segmentation complexity. Among the currently available VoD service approaches, the Polyharmonic and Staircase broadcasting approaches show best performance with respect to each viewer's waiting time and buffer requirement, respectively. However, these approaches have the problem of dividing a video into too many segments, which causes very many channels to be managed and used at a time. To overcome this problem, we propose Polyharmonic-Staircase-Staggered (PSS) broadcasting approach that uses the Polyharmonic and Staircase approaches for the head part transmission and the Staggered approach for the tail part transmission. It is simple and bandwidth efficient. The numerical results demonstrate that our approach shows viewer's waiting time is comparable to that in the Harmonic approach with a slight increase in the bandwidth requirement, and saves the buffer requirement by about 60\% compared to the Harmonic broadcasting approach by simply adjusting the video partitioning coefficient factor. More importantly, our approach shows the best performance in terms of the number of segments and the number of channels managed and used simultaneously, which is a critical factor in real operation of VoD services. Lastly, we present how to configure the system adaptively according to the video partitioning coefficient.

A Study on Improving the Quality of General Education at an Engineering College - Hongik University, College of Science and Technology - (공과대학의 소양교육 개선 방안 연구 - 홍익대학교 과학기술대학을 중심으로 -)

  • Baek Hyun-Deok;Park Jin-Won;Sim Soo-Man;Shin Pan-Seok
    • Journal of Engineering Education Research
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    • v.8 no.1
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    • pp.84-98
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    • 2005
  • This study is on improving the general engineering education for enhancing the quality of engineers at a local engineering school in which the students are not highly qualified for engineering education. Based on the analysis on the current engineering education by asking questions to professors, students and alumni of Hongik College of Science and Engineering, we have set the basic educational philosophy as educating practical engineers and have decided the goals of basic engineering education as changing to student oriented education, enhancing the field adaptation capability, improving the problem solving ability and introducing engineering design courses. For achieving the foregoing goals, we have changed several basic engineering courses. Mathematics, science courses, computer related courses, English, communication skill related courses are strengthened, but general college education courses are reduced. We also have encouraged students to participate the classes actively and study efficiently, think logically and creatively. For the operational details, we have tried to impose less courses to freshmen and sophomores, to impose the prerequisite courses, to activate summer and winter schools. Finally, we have tried to find the ways to support continuous improvement on the basic engineering education.

Three Dimensional Vibration Analysis of Thick, Circular and Annular Plates with Nonlinear Thickness Variation (비선형 두께 변분을 갖는 두꺼운 원형판과 환형판의 3차원적 진동해석)

  • 장승환;심현주;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.2
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    • pp.119-129
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    • 2004
  • A three dimensional (3D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, circular and annular plates with nonlinear thickness variation along the radial direction. Unlike conventional plate theories, which are mathematically two dimensional (2D), the present method is based upon the 3D dynamic equations of elasticity. Displacement components u/sub s/, u/sub z/, and u/sub θ/ in the radial, thickness, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the s and z directions. Potential (strain) and kinetic energies of the plates are formulated, and the Ritz method is used to solve the eigenvalue problem thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four digit exactitude is demonstrated for the first five frequencies of the plates. Numerical results we presented for completely free, annular and circular plates with uniform linear, and quadratic variations in thickness. Comparisons are also made between results obtained from the present 3D and previously published thin plate (2D) data.

An Algorithm for Segmenting the License Plate Region of a Vehicle Using a Color Model (차량번호판 색상모델에 의한 번호판 영역분할 알고리즘)

  • Jun Young-Min;Cha Jeong-Hee
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.43 no.2 s.308
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    • pp.21-32
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    • 2006
  • The license plate recognition (LPR) unit consists of the following core components: plate region segmentation, individual character extraction, and character recognition. Out of the above three components, accuracy in the performance of plate region segmentation determines the overall recognition rate of the LPR unit. This paper proposes an algorithm for segmenting the license plate region on the front or rear of a vehicle in a fast and accurate manner. In the case of the proposed algorithm images are captured on the spot where unmanned monitoring of illegal parking and stowage is performed with a variety of roadway environments taken into account. As a means of enhancing the segmentation performance of the on-the-spot-captured images of license plate regions, the proposed algorithm uses a mathematical model for license plate colors to convert color images into digital data. In addition, this algorithm uses Gaussian smoothing and double threshold to eliminate image noises, one-pass boundary tracing to do region labeling, and MBR to determine license plate region candidates and extract individual characters from the determined license plate region candidates, thereby segmenting the license plate region on the front or rear of a vehicle through a verification process. This study contributed to addressing the inability of conventional techniques to segment the license plate region on the front or rear of a vehicle where the frame of the license plate is damaged, through processing images in a real-time manner, thereby allowing for the practical application of the proposed algorithm.