• 제목/요약/키워드: Second Order Property

검색결과 242건 처리시간 0.025초

OSCILLATION AND NONOSCILLATION THEOREMS FOR NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER

  • Kim, Rak-Joong;Kim, Dong-Il
    • 대한수학회지
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    • 제44권6호
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    • pp.1453-1467
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    • 2007
  • By means of a Riccati transform some oscillation or nonoscillation criteria are established for nonlinear differential equations of second order $$(E_1)\;[p(t)|x#(t)|^{\alpha}sgn\;x#(t)]#+q(t)|x(\tau(t)|^{\alpha}sgn\;x(\tau(t))=0$$. $$(E_2),\;(E_3)\;and\;(E_4)\;where\;0<{\alpha}$$ and $${\tau}(t){\leq}t,\;{\tau}#(t)>0,\;{\tau}(t){\rightarrow}{\infty}\;as\;t{\rightarrow}{\infty}$$. In this paper we improve some previous results.

OSCILLATION THEOREMS FOR PERTURBED DIFFERENTIAL EQUATIONS OF SECOND ORDER

  • Kim, Rak-Joong
    • 대한수학회보
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    • 제45권2호
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    • pp.241-252
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    • 2008
  • By means of a Riccati transform and averaging technique some oscillation criteria are established for perturbed nonlinear differential equations of second order $(P_1)\;(p(t)x'(t))'+q(t)|x({\phi}(t)|^{{\alpha}+1}sgnx({\phi}(t))+g(t,\;x(t))=0$ $(P_2)$ and $(P_3)$ satisfying the condition (H). A comparison theorem and examples are given.

한약제제의 권리보호에 대한 초보적인 고찰 (A Elementary Study on Protect Intellectual Property of Herbal Medicines)

  • 김윤경;안상우;김홍준;최환수
    • 한국한의학연구원논문집
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    • 제10권1호
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    • pp.81-95
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    • 2004
  • The discussion of intellectual property protection with TK, GR in WIPO begin Herbal medicines get a important basis in a development of modern new medicine. For the protection of intellectual property, we set up this study. For the protection of intellectual property with herbal medicines, We analyze as follows. First, we analyze the specific theory and character of traditional herbal medicines. Second, we analyze the existing system on protecting them in Korea. The intellectual property protection with herbal medicines must maintain the specific character of that. We must select the basic traditional herbal medicines. The next, we must protect from intellectual property on add and subtract, combine, create of the traditional herbal medicines. In order that we must construct database on the Herbal medicines.

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SHADOWING PROPERTY FOR ADMM FLOWS

  • Yoon Mo Jung;Bomi Shin;Sangwoon Yun
    • 대한수학회지
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    • 제61권2호
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    • pp.395-408
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    • 2024
  • There have been numerous studies on the characteristics of the solutions of ordinary differential equations for optimization methods, including gradient descent methods and alternating direction methods of multipliers. To investigate computer simulation of ODE solutions, we need to trace pseudo-orbits by real orbits and it is called shadowing property in dynamics. In this paper, we demonstrate that the flow induced by the alternating direction methods of multipliers (ADMM) for a C2 strongly convex objective function has the eventual shadowing property. For the converse, we partially answer that convexity with the eventual shadowing property guarantees a unique minimizer. In contrast, we show that the flow generated by a second-order ODE, which is related to the accelerated version of ADMM, does not have the eventual shadowing property.

디지털 빔포밍을 위한 다차 샘플링 방법의 실험적 고찰 (Experimental Considration of Multi-order Sampling for Digital Beamforming)

  • 나병윤;정목근
    • 대한의용생체공학회:의공학회지
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    • 제19권2호
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    • pp.105-112
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    • 1998
  • 본 논문에서는 RF초음파 신호의 포락선 검출을 위하여 제안된 다차 샘플링 방법의 성능을 실험데이터를 이용하여 Quadrature 샘플링 및 2차 샘플링 방법과 비교하였다. Quadrature 샘플링의 결과 영상과 비교해볼 때 2차 샘플링의 결과 영상은 많은 오차를 보이고 있다. 그러나 다차 샘플링 결과, 특히 5차 샘플링 결과는 매우 우수한 포락선 검출 결과를 보여주고 있다. 이러한 다차 샘플링 방법을 사용하면 보다 경제적이고 우수한 성능의 디지털 빔포밍 시스템의 구현이 가능하다.

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Splines via Computer Programming

  • 김경태
    • 정보과학회지
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    • 제1권1호
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    • pp.72-74
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    • 1983
  • Traditionally, polynomials have been used to approximte functions with prescribed values at a number of points(called the knots) on a given interal on the real line. The method of splines recently developed is more flexible. It approximates a function in a piece-wise fashion, by means of a different polynomial in each subinterval. The cubic spline gas ets origins in beam theory. It possessed continuous first and second deriatives at the knots and is characterised by a minimum curvature property which es rdlated to the physical feature of minimum potential energy of the supported beam. Translated into mathematical terms, this means that between successive knots the approximation yields a third-order polynomial sith its first derivatives continuous at the knots. The minimum curvature property holds good for each subinterval as well as for the whole region of approximation This means that the integral of the square of the second derivative over the entire interval, and also over each subinterval, es to be minimized. Thus, the task of determining the spline lffers itself as a textbook problem in discrete computer programming, since the integral of ghe square of the second derivative can be obviously recognized as the criterion function whicg gas to be minimized. Starting with the initial value of the function and assuming an initial solpe of the curve, the minimum norm property of the curvature makes sequential decision of the slope at successive knots (points) feasible. It is the aim of this paper to derive the cubic spline by the methods of computer programming and show that the results which is computed the all the alues in each subinterval of the spline approximations.

병원정보시스템 품질에 대한 인식 및 평가 (Perception and Evaluation of Quality of Hospital Information System)

  • 임정도
    • 보건의료산업학회지
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    • 제8권1호
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    • pp.1-13
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    • 2014
  • The purpose of this study is to investigate the perception of quality property of hospital information system, the quality level, and its effects. The participants were 730 employees who are using hospital information system in hospitals. In order to analyze the relationship, the quality property regulates the consideration of user's taste and the state of user's favor for the design of hospital information system, and the quality level regulates user's convenience and properness. The main results from this study can be summarized as follows, First, the perception of quality property for hospital information system showed few significance level between occupation, but revealed significance level between position. The evaluation of quality level showed significance level depending on the occupation and position. Second, quality property which generally affects to the quality level of the hospital information system were different between types of occupation and quality factor.

부부 이혼시 재산분할액 산정과정에 대한 제안 -독일의 잉여청산제 적용을 중심으로 - (A Proposal for the Methodology of Partition of Property by the Married Couple in the Process of Divorce -Applied to the system to division of remainder used in Germany-)

  • 문숙재;윤소영;이윤신
    • 대한가정학회지
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    • 제40권12호
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    • pp.159-170
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    • 2002
  • This study, with a view to establishing the objective and concrete methodology of partition of properly by the married couple in the process of divorce, is to suggest the calculation method of impartial division of property by means of applying the system to division of remainder used in Germany. Generally, the process of estimating the amount of partitioned property has two steps, the first of which is to calculate the remainder of the husband and the wife each. The second step is to compare the remainders of the couple and calculate the difference in order for the spouse who has more to claim the payment of a half of the difference. This method has the advantage of dividing impartially the remainder obtained by labor in the married life.

2D wavelet과 이차신경망을 이용한 패턴인식 시스템 (A Pattern Recognition System Using 2D Wavelets and Second-Order Neural Networks)

  • 이봉규
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권10호
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    • pp.473-478
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    • 2001
  • Image processings using the two-dimensional wavelet transform (2DWT) have been a very active research area in recent years because the 2DWT possess many good properties. However, the discrete 2DWT can not be used for pattern recognition directly because it does not have the translation property. In this paper, we show why conventional discrete two-dimensional wavelet transforms cannot be used for pattern recognitions directly. Then, we propose a new method that makes it possible to use discrete 2DWT to pattern recognition without modification of standard pyramidal algorithms. The main idea of our method is to postprocess the wavelet transformed images using the second-order neural network. To justify the validity of the method, evaluations with test images were performed. The effectiveness of the method can be shown by the evaluation results.

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2차 평활요소를 이용한 CDBC의 설계 (Design of a CDBC Using Second-order Smoothing Element)

  • 김진용;김성열;이금원
    • 융합신호처리학회논문지
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    • 제3권1호
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    • pp.67-73
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    • 2002
  • 본 논문은 2차 평활요소를 사용한 최적 연속계 유한정정 서보시스템의 새로운 설계법을 제시한다. 직렬 적분 보상기와 지역 귀환보상기를 상태귀환 루프에 도입하여 연속유한정정제어기를 만든다. 평활요소의 감쇄비와 고유 각주파 수의 결정법을 서술한다. 입출력 특성이 어떻게 개선되는지를 수치예제를 통하여 보인다. 특히 임의의 시간에 인가되는 외란 및 가변 입력에 대한 CDBC를 설계하는 방법을 제시한다.

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