• Title/Summary/Keyword: limit function

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Factorization of the Jet Mass Distribution in the Small R Limit

  • Idilbi, Ahmad;Kim, Chul
    • Journal of the Korean Physical Society
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    • 제73권9호
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    • pp.1230-1239
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    • 2018
  • We derive a factorization theorem for the jet mass distribution with a given $p^J_T$ for the inclusive production, where $p^J_T$ is a large jet transverse momentum. Considering the small jet radius limit ($R{\ll}1$), we factorize the scattering cross section into a partonic cross section, the fragmentation function to a jet, and the jet mass distribution function. The decoupled jet mass distributions for quark and gluon jets are well-normalized and scale invariant, and they can be extracted from the ratio of two scattering cross sections such as $d{\sigma}/(dp^J_TdM^2_J)$ and $d{\sigma}/dp^J_T $. When $M_J{\sim}p^J_TR$, the perturbative series expansion for the jet mass distributions works well. As the jet mass becomes small, large logarithms of $M_J/(p^J_TR)$ appear, and they can be systematically resummed through a more refined factorization theorem for the jet mass distribution.

Autotuning of A PID Controller Using a Saturation function Having a Memory

  • Oh, Seung-Rohk
    • 전기전자학회논문지
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    • 제11권4호
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    • pp.193-197
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    • 2007
  • We use a saturation function with memory instead of a pure saturation function to generate a limit cycle in order to find one point information of a plant in the frequency domain. The saturation function with memory is useful in the presence of noise and/or a short duration of short duration of external disturbances. We analyze the error caused by the approximation that the saturation function with memory treated as a pure saturation function. We propose a new tuning formula for PID controller which can be applied a saturation function having memory with an arbitrary memory size. We show that the proposed method is more accurate than that of the approximation method via an example.

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GeoGebra를 활용한 극한 지도가 고등학생들의 수학 학습에 미치는 영향 (Effects of Teaching of Limit Using GeoGebra to High School Students' Mathematics Learning)

  • 공민숙;강윤수
    • 한국학교수학회논문집
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    • 제17권4호
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    • pp.697-716
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    • 2014
  • 이 연구에서는 GeoGebra를 활용한 극한 학습과정에서 나타나는 고등학생들의 학습 특성을 확인하고자 한다. 또한, GeoGebra를 활용한 극한 지도가 고등학생들의 정의적 특성에 어떤 영향을 미치는지를 분석하고자 한다. 이를 위해, 세 명의 고등학생들을 연구참여자로 선정하여 GeoGebra를 활용한 극한 학습을 수행하게 하고 그들의 문제해결 과정을 관찰하였다. 연구참여자들의 문제해결 과정을 그들이 수행한 활동지와 연계하여 분석함으로써 다음을 확인하였다. 첫째, 학생들은 함수의 극한을 구할 때 수학적 성질이나 주어진 자료에 근거하여 논리적으로 접근하기보다는 직관적이고 자의적으로 판단하는 경향이 있다. 둘째, 고등학생들의 학습에서 전 단계의 추론이 다음 단계의 추론을 방해할 수 있다. 셋째, GeoGebra를 활용한 삼각함수의 극한 학습은 학생들의 극한 학습과 관련된 오류를 확인하고 교정하는데 도움을 준다. 넷째, GeoGebra를 활용한 삼각함수 극한 학습은 학생들의 정의적 영역에 긍정적인 영향을 미친다.

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멀티레이트 샘플치 시스템: 최적 디지털 재설계 기법 (Multirate Sampled-Data Control System: Optimal Digital Redesign Approach)

  • 김도완;박진배;장권규;추영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.708-710
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    • 2004
  • This paper studies a multirate sampled-data control for LTI systems by using the digital redesign (DR) method. In this note, to well tackle the problem associated with both the state matching and the stabilization, our nobel strategy is to minimize the linear quadratic cost function. The main features of the proposed method are that i) the delta-operator-based descretization method is applied to improve the state-matching performance in the fast sampling limit and/or the large input multiplicity; ii) the proposed multirate control scheme can improve the state-matching performance in the long sampling limit; iii) some sufficient conditions that guarantee the stability of the closed-loop discrete-time system and provide a guarantee cost for the cost function can be formulated in the LMIs format; and iv) an optimal sampled-data controller in the sense of minimizing the upper bound of the cost function is also given by means of an LMI optimization procedure.

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위상에 대한 교수학적 접근 -수렴성과 연속성을 중심으로- (Didactical Approach on Topology -Centered on convergence and continuity-)

  • 김진환
    • East Asian mathematical journal
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    • 제35권2호
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    • pp.239-257
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    • 2019
  • The purpose of this study is to show that the topology is closely related to some subjects learned in school mathematics and then to give motivations for learning of the topology. To do this, it is showed that the topology is an abstracted device that deal with structure of limit and continuity introduced in school mathematics. This study took a literature study. The results of this study are as follows. First, the formal definition of general topology to structure open sets was examined. The nearness relation together with the closure operation was introduced and used to characterize for construction of general topology. Second, as definitions for continuity of function, we considered the intuitive definition, definition, structured definitions using open intervals and definition using open sets and then we investigated their roles. We also examined equivalent definition using the nearness relation which is helpful to understand continuity of function. Third, the sequence and its limit are treated in terms of continuous functions having the set of natural numbers and its extended set as domains. From these, it can be concluded that the convergence of sequence and the continuity of function are identified as functions that preserve the nearness relation and that the topology is a specialized tool for dealing with convergence and continuity.

인공신경망 기반의 한계상태함수를 이용한 사면의 신뢰성해석 (Reliability Analysis of Slopes Using ANN-based Limit-state Function)

  • 조성은;변위용
    • 한국지반공학회논문집
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    • 제23권8호
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    • pp.117-127
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    • 2007
  • 사면안정해석은 지반물성의 불확실성을 포함한 많은 불확실한 요인을 내포하는 지반공학적 문제이다. 본 연구에서는 상업용 유한차분해석 프로그램을 이용하여 확률론적 사면안정해석을 수행할 수 있는 절차를 제시하였다. 이 경우 한계상태함수가 명시적인 형태로 표현되지 않기 때문에 한계상태함수를 근사화하기 위하여 인공신경망기법을 활용한 응답면기법을 이용하였으며 파괴확률을 구하기 위해 일차 및 이차신뢰도법과 Monte Carlo simulation을 이용하였다. 제안된 절차의 적용성을 검토하기 위하여 2층 지반의 사면과 Sugar Creek제방사면에 대한 확률론적 사면안정해석을 수행하였다. 해석결과는 제안된 절차의 적정성과 다른 다양한 지반공학 문제로의 확장 적용의 가능성을 보여준다.

Searching for Ways to Improve Visiting Oral Health Care Services in Korea through Comparison with Japanese System in Long-Term Care Insurance

  • Sang-Hwan Oh;Rumi Nishimura;Soo-Jeong Hwang
    • 치위생과학회지
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    • 제23권2호
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    • pp.154-168
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    • 2023
  • Background: Legal regulations and fees have been established in Korea to provide visiting oral health care services to individuals with long-term care insurance (LTCI). However, beneficiaries of this service are very limited. Therefore, to improve the Korean system we propose a comparative analysis with the Japanese system. Methods: This study is a descriptive analysis based on secondary data, such as statistics, laws, and service record forms from Korea and Japan. The most recent institutional documents were obtained through a Google search. The variables investigated were financial resources of LTCI, co-payment structure, monthly limit of LTCI benefits, care levels of LTCI, service providers, service costs, contents of service, and the number of cases of service. Results: In both Korea and Japan, LTCI is financed through a combination of taxes and insurance premiums. However, the monthly limit for receiving LTCI services in Japan is about 2.4 times higher than in Korea. Visiting medical and dental treatment is also possible in Japan. Furthermore, nursing staff can provide daily oral health care services according to dental hygienists' instruction unlike Korea. Oral health care services in Korea are focused on oral hygiene and prevention of oral diseases, while Japan additionally provides oral function screening, patient education for oral health management, and training for nursing staff to enhance oral function, eating, and swallowing of the patients. Conclusion: We concluded that the possibility of visiting dental treatment, differences in monthly limit of LTCI benefits, oral function assessment and guidance, as well as collaboration with other healthcare professionals contributed to the difference in the frequency of utilization of visiting oral health care services between Korea and Japan.

Luapunov 직접법에 의한 전력계통 전압안정도 해석 (A Study on Power System Voltage Stability Analysis by the Direct Lyapunov Function)

  • 문영현;박능수;이태식
    • 대한전기학회논문지
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    • 제43권5호
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    • pp.693-702
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    • 1994
  • This paper deals with direct voltage stability analysis using a power system energy function. The structure preserved energy function is proposed as an energy function for voltage stability analysis. With the use of the proposed energy function voltage collapse conditions are derived, which yields the exactly same results with the Jacobian matrix approach. The voltage collapse phenomenon is analyzed by several methods, which shows that all of the methods produce the same voltage condition. This study also investigates the voltage collapse dynamics by using the proposed energy function. As a result, it has been found that the voltage collapse can be classified into two categories: static and dynamic instablilties which have quite different behaviors. In addition a new method is presented to calculate the power capacity limit of transmission lines with respect to voltage stability. The proposed method is tested for a 2-bus sample system, which shows the characteristics of voltage collapse phenomenon via the energy function.

수학교과서 소리내어 반복읽기 효과에 대한 사례 분석 (A case study on the effect of repeated reading aloud for mathematics textbooks)

  • 김민아;이봉주
    • 한국학교수학회논문집
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    • 제26권2호
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    • pp.87-110
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    • 2023
  • 이 연구에서는 반복읽기와 소리내어 읽기를 결합한 소리내어 반복읽기를 수학과 교수·학습 방법으로 제안하고, 소리내어 반복읽기가 학생의 학업성취도와 인지부하에 미치는 영향을 살펴보고자 하였다. 또한 수학과 교수·학습 방법으로서 소리내어 반복읽기에 대한 시사점을 탐색해 보고자 하였다. 이를 위하여 중학교 3학년 학생 4명과 고등학교 1학년 학생 4명을 대상으로 '함수의 극한' 단원과 '경우의 수/순열' 단원에 대해 소리내어 반복읽기를 실시하고 학업성취도와 인지부하가 어떻게 변하는지 분석하는 사례 연구를 진행하였다. 그 결과, 연구에 참여한 모든 학생들은 소리내어 반복읽기가 누적됨에 따라 학업성취도와 인지부하에서 긍정적인 변화를 보였다. 단원별로 비교했을 때, 경우의 수/순열 단원에 비해 함수의 극한 단원의 학업성취도가 낮았으며 인지부하 측면에서도 함수의 극한 단원에서 학생들이 더 높은 인지부하를 드러냈다. 학년별로 비교했을 때, 인지부하에서는 큰 차이가 없었으나 두 단원 모두 고등학교 1학년 학생 4명의 학업성취도가 중학교 3학년 학생 4명에 비해 높았다. 학년별 학업성취도는 특히 함수의 극한 단원에서 큰 차이가 있었지만 그 격차는 소리내어 반복읽기를 진행할수록 줄어들었다.

Bifurcation Modes in the Limit of Zero Thickness of Axially Compressed Circular Cylindrical Shell

  • Kwon, Young-Joo
    • Journal of Mechanical Science and Technology
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    • 제14권1호
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    • pp.39-47
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    • 2000
  • Bifurcation intability modes of axially compressed circular cylindrical shell are investigated in the limit of zero thickness (i.e., h (thickness) ${\rightarrow}$ 0) analytically, adopting the general stability theory developed by Triantafyllidis and Kwon (1987) and Kwon (1992). The primary state of the shell is obtained in a closed form using the asymptotic technique, and then the straight-forward bifurcation analysis is followed according to the general stability theory to obtain the bifurcation modes in the limit of zero thickness in a full analytical manner. Hence, the closed form bifurcation solution is obtained. Finally, the result is compared with the classical one.

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