• Title/Summary/Keyword: linear series

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Kinetics and Mechanism for the Reaction of 4-Nitrophenyl 2-Furoate with Secondary Alicyclic Amines

  • 이종팔;윤지회;엄익환
    • Bulletin of the Korean Chemical Society
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    • v.20 no.7
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    • pp.805-808
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    • 1999
  • Second-order-rate constants (kN) have been measured spectrophotometrically for the reactions of 4-nitrophenyl 2-furoate (1) with a series of secondary alicyclic amines in H2O containing 20 mole % DMSO at 25.0℃. 1 is about 5-8 times more reactive than 4-nitrophenyl benzoate (2), although 1 is expected to be less reactive than 2 based on MO calculations and 13 C NMR study. The Brфnsted-type plots for the aminolysis reactions of 1 and 2 are linear with βnuc values of 0.78 and 0.85, respectively. The replacement of the CH=CH group by an O atom in the acyl moiety (2->1) does not cause any mechanism change. The reaction of piperidine with a series of substituted phenyl 2-furoates gives a linear Hammett plot with a large ρ- value (ρ- = 2.88) when σ- constants are used. The linear Brфnsted and Hammett plots with a large ρ- value suggest that the aminolysis reaction of 1 proceeds via rate-determining break-down of the addition intermediate to the porducts.

Algorithms for bivariate time series modeling in small size computers (2변수 시계열 모델 산출을 위한 소형컴퓨터용 알고리즘)

  • 김광준;문인혁;박병호
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.108-112
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    • 1986
  • Several algorithms for bivariate time series modeling are reviewed : linear least square, nonlinear least squares, generalized least square, and multi-stage least square methods. Estimation results of simulated data by the above methods are discussed.

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Experimental verification of the linear and non-linear versions of a panel code

  • Grigoropoulos, G.J.;Katsikis, C.;Chalkias, D.S.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.3 no.1
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    • pp.27-36
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    • 2011
  • In the proposed paper numerical calculations are carried out using two versions of a three-dimensional, timedomain panel method developed by the group of Prof. P. Sclavounos at MIT, i.e. the linear code SWAN2, enabling optionally the use of the instantaneous non-linear Froude-Krylov and hydrostatic forces and the fully non-linear SWAN4. The analytical results are compared with experimental results for three hull forms with increasing geometrical complexity, the Series 60, a reefer vessel with stern bulb and a modern fast ROPAX hull form with hollow bottom in the stern region. The details of the geometrical modeling of the hull forms are discussed. In addition, since SWAN4 does not support transom sterns, only the two versions of SWAN2 were evaluated over experimental results for the parent hull form of the NTUA double-chine, wide-transom, high-speed monohull series. The effect of speed on the numerical predictions was investigated. It is concluded that both versions of SWAN2 the linear and the one with the non-linear Froude-Krylov and hydrostatic forces provide a more robust tool for prediction of the dynamic response of the vessels than the non-linear SWAN4 code. In general, their results are close to what was expected on the basis of experience. Furthermore, the use of the option of non-linear Froude-Krylov and hydrostatic forces is beneficial for the accuracy of the predictions. The content of the paper is based on the Diploma thesis of the second author, supervised by the first one and further refined by the third one.

A study on the performance improvement of hydraulic position control system using series-feedback compensator (직렬 피이드백 보상기를 이용한 위치제어 유압시스템의 성능향상에 관한 연구)

  • 이교일;이종극
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.332-337
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    • 1988
  • A digital series-feedback compensator algorithm for tracking time-varying signal is presented. The series-feedback compensator is composed of one closed loop pole / zero cancellation compensator and one desired-input generator. This algorithm is applied to nonlinear hydraulic position control system. The hydraulic servo system is modelled as a second order linear model and cancellation compensator is modelled from it. The desired input generator is inserted to reduce modelling error. Digital computer simulation output using this control method is present and the usefulness of this control algorithm for nonlinear hydraulic system is verified.

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A Study of Statistical Approach for Detection of Outliers in Network Traffic

  • Kim, Sahm-Yeong;Yun, Joo-Beom;Park, Eung-Ki
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.979-987
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    • 2005
  • In this research we study conventional and new statistical methods to analyse and detect outliers in network traffic and we apply the nonlinear time series model to make better performance of detecting abnormal traffic rather the linear time series model to compare the performances of the two models.

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The Change Point Analysis in Time Series Models

  • Lee, Sang-Yeol
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.43-48
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    • 2005
  • We consider the problem of testing for parameter changes in time series models based on a cusum test. Although the test procedure is well-established for the mean and variance in time series models, a general parameter case has not been discussed in the literature. Therefore, here we develop a cusum test for parameter change in a more general framework. As an example, we consider the change of the parameters in an RCA(1) model and that of the autocovariances of a linear process. We also consider the variance change test for unstable models with unit roots and GARCH models.

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ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS

  • AZ-ZO'BI, EMAD A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.4
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    • pp.289-294
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    • 2018
  • In this work, a recently developed semi-analytic technique, so called the residual power series method, is generalized to process higher-dimensional linear and nonlinear partial differential equations. The solutions obtained takes a form of an infinite power series which can, in turn, be expressed in a closed exact form. The results reveal that the proposed generalization is very effective, convenient and simple. This is achieved by handling the (m+1)-dimensional Burgers equation.

A learning control algorithm for the linear discrete system (선형 이산 시스템의 학습제어 알고리즘)

  • 박희재;조형석;현봉섭
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.326-331
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    • 1988
  • In this paper, an iterative leaning control algorithm for the linear discrete system is proposed. Based upon the parameter estimation method, the learning for good tracking control is acqured through a sequence of repetitive operations. A series of simulation are performed to show the validity of this algorithm.

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Hypothesis Tests For Performances of a New Spline Interpolation Technique (신 스플라인보간법의 퍼포먼스 가설점정)

  • Yu, Ki-Yun
    • Journal of Korean Society for Geospatial Information Science
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    • v.7 no.1 s.13
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    • pp.29-40
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    • 1999
  • In vector GIS, natural linear entities (called linear entitles) are usually represented by a set of line segments. As an alternative of the line segments, curve segments can be used to represent the linear entities. The curve segments, as one-dimensional spatial objects, we generated by spline interpolation technique such as Bezier technique. In an effort to improve its accuracy in resembling the linear entities, the Bezier technique was modified generating a new technique (called New technique) (Kiyun, 1998). In this paper, validity of the New technique was tested. Test focused on answering two questions: (1) whether or not the curve segments from the New technique replace line segments so as to enhance the accuracy of representations of linear entities, and (2) whether or not the curve segments from the New technique represent the linear entities more accurately than curve segments from the Bezier technique. Answering these two questions entailed two hypothesis tests. For test data, a series of hydrologic lines on 7.5-minute USGS map series were selected. Test were done using t-test method and statistical inferences were made from the results. Test results indicated that curve segments from both the Bezier and New techniques represent the linear entities more accurately than the line segments do. In addition, curve segments from the New technique represent the linear entities more accurately than the line segments from the Bezier technique do at probability level 69% or higher.

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Time Series Models for Performance Evaluation of Network Traffic Forecasting (시계열 모형을 이용한 통신망 트래픽 예측 기법연구)

  • Kim, S.
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.219-227
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    • 2007
  • The time series models have been used to analyze and predict the network traffic. In this paper, we compare the performance of the time series models for prediction of network traffic. The feasibility study showed that a class of nonlinear time series models can be outperformed than the linear time series models to predict the network traffic.