• Title/Summary/Keyword: mathematical practice

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Tracking Control of Servo System using Fuzzy Logic Cross Coupled Controller (퍼지 논리형 상호결합 제어기를 이용한 서보 시스템의 추적제어)

  • 신두진;허욱열
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.8
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    • pp.361-366
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    • 2001
  • This thesis proposes a fuzzy logic cross coupled controller for a multi axis servo system. The overall control system consists of three elements: the axial position controller, the speed controller, and a fuzzy logic cross coupled controller. In conventional multi axis servo system, the motion of each axis is controlled independently without regard to the motion of other axes, in which the contour error, defined as the shortest distance between the desired and actual contours is compensated only by the position error of each axis. This decoupled control approach may result in degraded contouring performance due to such factors as mismatch of axial dynamics and axial loop gains. In practice, such systems contain many uncertainties, Therefore, the multi axis servo system must receive and evaluate the motion of all axes for a better contouring accuracy. Cross coupled controller utilizes all axis position error information simultaneously to produce accurate contours. However the existing cross coupled controllers cannot overcome friction, backlash and parameter variation. Also, since it is difficult to obtain an accurate mathematical model of multi axis system, here we investigate a fuzzy logic cross coupled controller method. Some simulations and experimental results are presented to illustrate the performance of the proposed controller.

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Broad Beam Transmission Properties of some Shielding Materials for Use in Diagnostic Radiology (진단영역 넓은 선속 X선 에너지에 대한 차폐물질의 투과 특성)

  • Jeong, Hoi-Woun;Kim, Jung-Min;Lin, Song-Shei
    • Journal of radiological science and technology
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    • v.27 no.4
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    • pp.23-29
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    • 2004
  • The application of analytical model(Archer et al. 1983) to shielding calculations in diagnostic radiology combined with measurements of the broad beam transmission properties of lead, steel, concrete, and plate glass for x-ray tube potential of 60-140 kVp using an x-ray inverter generator and total initial beam filtration sufficient to provide half-valve layer representative of those found in common practice and required by regulatory agencies. Our transmission measurements and numerical fits to the mathematical model of broad beam transmission(Archer et al. 1983) will assist medical or health physicist faced with the task of designing protective barriers for medical diagnostic x-ray facilities.

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Survey of nonlinear state estimation in aerospace systems with Gaussian priors

  • Coelho, Milca F.;Bousson, Kouamana;Ahmed, Kawser
    • Advances in aircraft and spacecraft science
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    • v.7 no.6
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    • pp.495-516
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    • 2020
  • Nonlinear state estimation is a desirable and required technique for many situations in engineering (e.g., aircraft/spacecraft tracking, space situational awareness, collision warning, radar tracking, etc.). Due to high standards on performance in these applications, in the last few decades, there was an increasing demand for methods that are able to provide more accurate results. However, because of the mathematical complexity introduced by the nonlinearities of the models, the nonlinear state estimation uses techniques that, in practice, are not so well-established which, leads to sub-optimal results. It is important to take into account that each method will have advantages and limitations when facing specific environments. The main objective of this paper is to provide a comprehensive overview and interpretation of the most well-known methods for nonlinear state estimation with Gaussian priors. In particular, the Kalman filtering methods: EKF (Extended Kalman Filter), UKF (Unscented Kalman Filter), CKF (Cubature Kalman Filter) and EnKF (Ensemble Kalman Filter) with an aerospace perspective.

Review on Relation between Knowledge for Teaching Mathematics and Student Learning (교수를 위한 수학적 지식과 학생의 성취도에 관한 문헌 연구)

  • Park, Jung-Eun
    • Journal of Educational Research in Mathematics
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    • v.22 no.1
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    • pp.39-52
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    • 2012
  • Research in teachers' knowledge for teaching mathematics (KTM) has been gradually growing for the past several years. With various conceptualizations about what teachers need to teach mathematics, there have been studies to find out the relationship between teachers' KTM and their students' achievement. In this paper, I reviewed various conceptualizations of teacher's mathematical knowledge for teaching, and existing qualitative and quantitative studies about this relationship. Based on the review, I identified the challenges to studying this relationship mainly focusing on the existence of a phase-teaching practice-between teachers' KTM and students' learning. Considering the challenges that have been identified in the literature review, I proposed topics for future studies that would contribute to our understanding how the teachers' KTMare related to their students' achievement, and investigate further about whether and how teacher-student interaction in classroom is related to changes in teachers' KTM.

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A LOCALIZED GLOBAL DEFORMATION MODEL TO TRACK MYOCARDIAL MOTION USING ECHOCARDIOGRAPHY

  • Ahn, Chi Young
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.2
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    • pp.181-192
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    • 2014
  • In this paper, we propose a robust real-time myocardial border tracking algorithm for echocardiography. Commonly, after an initial contour of LV border is traced at one or two frame from the entire cardiac cycle, LV contour tracking is performed over the remaining frames. Among a variety of tracking techniques, optical flow method is the most widely used for motion estimation of moving objects. However, when echocardiography data is heavily corrupted in some local regions, the errors bring the tracking point out of the endocardial border, resulting in distorted LV contours. This shape distortion often occurs in practice since the data acquisition is affected by ultrasound artifacts, dropout or shadowing phenomena of cardiac walls. The proposed method deals with this shape distortion problem and reflects the motion realistic LV shape by applying global deformation modeled as affine transform partitively to the contour. We partition the tracking points on the contour into a few groups and determine each affine transform governing the motion of the partitioned contour points. To compute the coefficients of each affine transform, we use the least squares method with equality constraints that are given by the relationship between the coefficients and a few contour points showing good tracking results. Many real experiments show that the proposed method supports better performance than existing methods.

The Effects of Teacher's Beliefs about Mathematics on the Method of Class and the Performance of Problem Solving (교사의 수학에 대한 신념이 수업 방법과 학생의 문제해결 수행에 미치는 영향)

  • 김시년
    • Education of Primary School Mathematics
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    • v.3 no.1
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    • pp.79-88
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    • 1999
  • This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.

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Speed-up Design for Overhead-line Considering Contact Force Fluctuations by a Wave Reflection and a Doppler Effect (파동반사와 도플러 효과를 고려한 전차선의 속도향상 설계)

  • Cho Yong Hyeon;Lee Ki Won;Kwon Sam Young;Kim Do Won
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1353-1359
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    • 2004
  • There are many massive components added on the railway overhead-line. These components cause larger fluctuations of contact forces, which are due to wave reflections and Doppler effects when a high-speed train passes those. In this paper, mathematical formula are derived for the relation between the added mass and contact force fluctuations. Using the derived formula, we calculate a added mass on the overhead-line which cause amplification factor to become 2.5. German design practice requires that amplification factor due to the wave reflection should be less than 2.5 to obtain good current collection performance. To show the validity of the formula, simulation results are compared with the calculation results. Simulation results showed that contact force fluctuations grow rapidly when an added mass is larger than the calculation result. Therefore, the simple form of formula can be used for estimating maximum added mass not to cause large fluctuations of contact forces in early design phase.

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Algorithmic GPGPU Memory Optimization

  • Jang, Byunghyun;Choi, Minsu;Kim, Kyung Ki
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.14 no.4
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    • pp.391-406
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    • 2014
  • The performance of General-Purpose computation on Graphics Processing Units (GPGPU) is heavily dependent on the memory access behavior. This sensitivity is due to a combination of the underlying Massively Parallel Processing (MPP) execution model present on GPUs and the lack of architectural support to handle irregular memory access patterns. Application performance can be significantly improved by applying memory-access-pattern-aware optimizations that can exploit knowledge of the characteristics of each access pattern. In this paper, we present an algorithmic methodology to semi-automatically find the best mapping of memory accesses present in serial loop nest to underlying data-parallel architectures based on a comprehensive static memory access pattern analysis. To that end we present a simple, yet powerful, mathematical model that captures all memory access pattern information present in serial data-parallel loop nests. We then show how this model is used in practice to select the most appropriate memory space for data and to search for an appropriate thread mapping and work group size from a large design space. To evaluate the effectiveness of our methodology, we report on execution speedup using selected benchmark kernels that cover a wide range of memory access patterns commonly found in GPGPU workloads. Our experimental results are reported using the industry standard heterogeneous programming language, OpenCL, targeting the NVIDIA GT200 architecture.

Application of Methods of Management Science in Care Process Management (의료프로세스 관리에 경영과학적 접근방법의 응용)

  • Kim, Tae Hyun
    • Korea Journal of Hospital Management
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    • no.spc
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    • pp.1-13
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    • 2016
  • In a situation where competition becomes intense, health care organizations constantly strive to provide more services with given personnel and time. While not only the 'quantity' of the services but also the 'quality' becomes increasingly important, various problems that can occur during the 'process' of service provision can be effectively managed by applying the methods of management science. In this study, we introduce the cases where the methods of management science can be applied for the management of health care organizations in Korea and abroad. There are many cases where various scenarios for improving the patients' accessibility to the services and for maximizing the efficient use of limited resources are established, and simulation or basic statistical analysis methods are used to solve the problems more systematically or to develop improvement plans. In this study, several exemplary cases, such as no-show of patients, crowding in the emergency room, prediction of the number of available beds in the intensive care units, nurse scheduling, delay of arrival of patients, and ordering of the proper amount of therapeutic materials, are introduced and discussed. From the perspective of administrators or clinicians, however, it may not be easy to master the methodology that requires considerable mathematical background or apply the theories to practice directly. Therefore, it is suggested that more practical and relatively simple analytical methods should be applied. Also, having a more positive attitude toward improving the current performance (e.g., a belief that 'we can always be better than now'), and paying attention to improving the job satisfaction by addressing problems, with experimental spirit and data-driven decision management.

Determination of Control Limits of Conditional Variance Investigation: Application of Taguchi's Quality Loss Concept (조건부 차이조사의 관리한계 결정: 다구찌 품질손실 개념의 응용)

  • Pai, Hoo Seok;Lim, Chae Kwan
    • Journal of Korean Society for Quality Management
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    • v.49 no.4
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    • pp.467-482
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    • 2021
  • Purpose: The main theme of this study is to determine the optimal control limit of conditional variance investigation by mathematical approach. According to the determination approach of control limit presented in this study, it is possible with only one parameter to calculate the control limit necessary for budgeting control system or standard costing system, in which the limit could not be set in advance, that's why it has the advantage of high practical application. Methods: This study followed the analytical methodology in terms of the decision model of information economics, Bayesian probability theory and Taguchi's quality loss function concept. Results: The function suggested by this study is as follows; ${\delta}{\leq}\frac{3}{2}(k+1)+\frac{2}{\frac{3}{2}(k+1)+\sqrt{\{\frac{3}{2}(k+1)\}^2}+4$ Conclusion: The results of this study will be able to contribute not only in practice of variance investigation requiring in the standard costing and budgeting system, but also in all fields dealing with variance investigation differences, for example, intangible services quality control that are difficult to specify tolerances (control limit) unlike tangible product, and internal information system audits where materiality standards cannot be specified unlike external accounting audits.