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ON A FUNCTIONAL EQUATION FOR QUADRATIC INVARIANT CURVES

  • Zhang, Weinian
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1179-1190
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    • 2001
  • Quadratic invariant curve is one of the simplest nonlinear invariant curves and was considered by C. T. Ng and the author in order to study the one-dimensional nonlinear dynamics displayed by a second order delay differential equation with piecewise constant argument. In this paper a functional equation derived from the problem of invariant curves is discussed. Using a different method from what C. T. Ng and the author once used, we define solutions piecewisely and give results in the remaining difficult case left in C. T. Ng and the authors work. A problem of analytic extension given in their work is also answered negatively.

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Clinical Principles in Esthetic Restoration (심미보철물의 임상적 원리)

  • Lee, Jong-Yeop
    • Journal of the Korean Academy of Esthetic Dentistry
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    • v.8 no.1
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    • pp.10-17
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    • 1999
  • Replacements for natural dentition must fulfil many criteria. An important aspect, especially for the patient, is aesthetic consideration. The shape and colour can be important factors in the aesthetic success of an anterior restoration. In order to allow for proper shape; the outline form, the spatial position of individual teeth and the surface characteristics must be considered. For the colour; translucency, value, chroma and hue must be expressed exactly. The dentist and technicians should catch up these very specific characteristics of the patient and convert them accurately to the restorations with the simplest way.

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Formation of cell under $1\mu{m}$ by quenching (Quenching을 이용한 $1\mu{m}$ 미만의 Cell 형성)

  • Lee B.H.;Cha S.W.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1420-1423
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    • 2005
  • Micro Cellular Plastics create a sensation at polymer industrial for lowering product cost & overcoming a lowering of mechanical intensity. Reduction of MCPs cell size increases the intensity of MCPs. This research based on the experiment about cell size reduction method. At this study, Quenching & Pressure foaming process are introduced to one of methods. Conclusion of study is that Quenching process is the simplest process for nano cell formation.

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Chaos in PID Controlled Nonlinear Systems

  • Ablay, Gunyaz
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1843-1850
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    • 2015
  • Controlling nonlinear systems with linear feedback control methods can lead to chaotic behaviors. Order increase in system dynamics due to integral control and control parameter variations in PID controlled nonlinear systems are studied for possible chaos regions in the closed-loop system dynamics. The Lur’e form of the feedback systems are analyzed with Routh’s stability criterion and describing function analysis for chaos prediction. Several novel chaotic systems are generated from second-order nonlinear systems including the simplest continuous-time chaotic system. Analytical and numerical results are provided to verify the existence of the chaotic dynamics.

Further Approximate Optimum Inspection Intervals

  • Leung, Kit-Nam Francis
    • Industrial Engineering and Management Systems
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    • v.4 no.2
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    • pp.123-128
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    • 2005
  • The author derives a general explicit formula and presents an heuristic algorithm for solving Baker’s model. The examples show that this new approximate solution procedure for determining near optimum inspection intervals is more accurate than the ones suggested by Chung (1993) and Vaurio (1994), and is more efficient computationally than the one suggested by Hariga (1996). The construction and solution of the simplest profit model for an exponential failure distribution were presented in Baker (1990), and approximate analytical results were obtained by Chung (1993) and Vaurio (1994). The author will therefore mainly devote the following discussion to the problem of further approximating optimum inspection intervals.

NORM CONVERGENCE OF THE LIE-TROTTER-KATO PRODUCT FORMULA AND IMAGINARY-TIME PATH INTEGRAL

  • Ichinose, Takashi
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.337-348
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    • 2001
  • The unitary Lie-Trotter-Kato product formula gives in a simplest way a meaning to the Feynman path integral for the Schroding-er equation. In this note we want to survey some of recent results on the norm convergence of the selfadjoint Lie-Trotter Kato product formula for the Schrodinger operator -1/2Δ + V(x) and for the sum of two selfadjoint operators A and B. As one of the applications, a remark is mentioned about an approximation therewith to the fundamental solution for the imaginary-time Schrodinger equation.

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Mechanical Strength Properties of Hanger Insulator for Arrestor (피뢰기 절연행거의 기계적 강도 특성)

  • 박기호;조한구;한동희
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.589-592
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    • 2001
  • Generally, hanger insulator for polymer arrestor have to be good insulation properties and mechanical strength and weatherability, But many remark and repairs have been to think about low cost and light weight. The Paper is used Polymer arrestor for post and performance analysis and mechanical strength insulator hanger according to development of simplest product. To enhance the efficiency of experimental modal analysis, we proposed the process which is the selection of the locations and the number of measurement points for pre-test.

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To Find a Solution for Reducing Reexaminations Owing to Bowel Preparation Failure in Colon Study (Teleflator) (Colon Study(Teleflator)의 Bowel Preparation Fail로 인한 재검사 감소방안에 관한 연구)

  • Yoon Surk Hwan;Cho Seung Yung;Cho Nam Soo
    • Journal of The Korean Radiological Technologist Association
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    • v.30 no.1
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    • pp.143-147
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    • 2004
  • Colon study(Teleflator) is the simplest and most effective method for diagnosing colon disease. However, if bowel preparation is insufficiently done, diseases such as polyps, cancer and inflammatory bowel disease could be mistaken for lesions. As a result

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A Study on Prediction and Application of ECG Data Compression Rate at Zero-Oder Compression (Zero-Order 압축 방식에서 ECG 데이터 압축률 예측과 적용에 관한 연구)

  • 안형민;김영길
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.513-516
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    • 1999
  • I here are many kinds of method to compress data. To very simple methods from very complex methods, a kind is various. In this study, the simplest form of the Tolerance-Comparison method, zero-order method is used. Using this method, despite using low speed CPUs, it is possible to compress real time data. So this method is suitable for ECG holler system. In this study, to complement zero-order method, it is needed to develop prediction technique and to research ways to apply the technique.

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Analysis and Implementation of Linear Combination of Weighted Order Statistic Filters (Linear Combination of Weighted Order Statistic 필터의 분석과 구현)

  • 송종환;이용훈
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.2
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    • pp.21-27
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    • 1994
  • Linear combination of weighted order statistic(LWOS) filters, which is an extension of stack filters, can represent any Boolean function(BF) or its extension. Which is called the extended BF(EBF). In this paper, we present a procedure for finding an LWOS filter of the simplest type from LWOS filters which are equivalent to a given BF or EBF. In addition, a property that is useful for implementing an LWOS filter is derived and an algorithm for LWOS filtering is presented.

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