• Title/Summary/Keyword: Denominator

검색결과 150건 처리시간 0.027초

A Study on Two Group Comparison in Gene Expression Data

  • Seok, Kyung-Ha;Lee, Sangfeel;Bae, Whasoo
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.247-254
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    • 2004
  • Tusher, Tibshirani and Chu (2001) suggested SAM (Significance Analysis of Microarrays) to compare two groups under different conditions for each gene, using microarray data. They used two sample t-statistic adding fudge factor in the denominator to prevent the value of statistic from being inflated by large sample variance, which might result in significant difference despite of a small value in the numerator. This paper aims at finding robust fudge factor and replacing it in two-sample t-statistic used in SAM, which we call Modified SAM (MSAM). Using the simulated data and data used in Dudoit et al.(2002), it is shown that MSAM find significant genes better and has less error rate than SAM.

Switching Control for Second Order Nonlinear Systems Using Singular Hyperplanes

  • Yeom Dong-Hae;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
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    • 제4권1호
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    • pp.124-135
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    • 2006
  • In this paper, we propose a switching control method for a class of 2nd order nonlinear systems with single input. The main idea is to switch the control law before the trajectory of the solution arrives at singular hyperplanes which are defined by the denominator of the control law. The proposed method can handle a class of nonlinear systems which is difficult to be stabilized by the existing methods such as feedback linearization, backstepping, control Lyapunov function, and sliding mode control.

A Note on Bode Plot Asymptotes based on Transfer Function Coefficients

  • Kim, Young-Chol;Lee, Kwan-Ho;Woo, Young-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.664-669
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    • 2005
  • In this note, we present a different asymptotes from the standard approximate lines of the Bode magnitude plot. Wherein the pseudo break frequency is defined in terms of coefficients of denominator and numerator polynomials of the transfer function instead of its poles and zeros. Several comparative examples are given. This result can be used for the characteristic ratio assignment(CRA) [1], [2] with frequency response requirements, which is a method of designing linear controller in parameter space.

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LM 최적화 알고리즘을 이용한 유리함수 모델의 데이터 피팅 (A Data Fitting Technique for Rational Function Models Using the LM Optimization Algorithm)

  • 박재한;배지훈;백문홍
    • 제어로봇시스템학회논문지
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    • 제17권8호
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    • pp.768-776
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    • 2011
  • This paper considers a data fitting problem for rational function models using the LM (Levenberg-Marquardt) optimization method. Rational function models have various merits on representing a wide range of shapes and modeling complicated structures by polynomials of low degrees in both the numerator and denominator. However, rational functions are nonlinear in the parameter vector, thereby requiring nonlinear optimization methods to solve the fitting problem. In this paper, we propose a data fitting method for rational function models based on the LM algorithm which is renowned as an effective nonlinear optimization technique. Simulations show that the fitting results are robust against the measurement noises and uncertainties. The effectiveness of the proposed method is further demonstrated by the real application to a 3D depth camera calibration problem.

계수의 특성비에 대한 선형계의 파라미터적 감도해석(II) : K-다항식의 경우 (The Parametric Sensitivity Analyses of linear System Relative to the Characteristic Ratios of Coefficient(II) : K-Polynomial Case)

  • 김영철;김근식
    • 제어로봇시스템학회논문지
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    • 제10권4호
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    • pp.295-303
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    • 2004
  • Previously it has been shown that the all pole systems resulting good time responses can be characterized by so called K-polynomial. The polynomial is defined in terms of the principal characteristic ratio $\alpha_1$ and the generalized time constant $\tau$ . In this paper, Part II presents several sensitivity analyses of such systems with respect to $\alpha_1$ and $\tau$ changes. We first deal with the root sensitivity to the perturbation of $\alpha_1$ . By way of determining the unnormalized function sensitivity, both time response sensitivity and frequency response sensitivity are derived. Finally, the root sensitivity relative to $\tau$ change is also analyzed. These results provide some useful insight and background theory when we select of and l to compose a reference model of which denominator is a K-polynomial, which is illustrated by examples.

Pole assignment for three-dimensional systems using two-dimensional dynamic compensators

  • Kawakami, Atsushi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.1135-1138
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    • 1990
  • In this paper, we study the pole assignment problem for three-dimensional systems. We transform the denominator of transfer functions of the closed-loop system into the product of three stable one-dimensional polynomials, by performing two-dimensional dynamical feedback and input transformation on the given three-dimensional systems. In the next, we consider the possibility that these two-dimensional dynamic compensators are realizable, thoroughly, and propose the counter-measure in case that they are not realizable. And, we obtain the conditions so that the closed-loop three-dimensional systems are stable. Moreover, we calculate the dynamical dimension which is necessary for the pole assigntmnt, and suggest the pole assignmnt method with the lowest dynamical dimnsion.

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예방접종의 경제성 평가방법과 사례 (Economic Evaluation of Vaccinations - a Methodologic Review)

  • 천병철
    • Pediatric Infection and Vaccine
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    • 제15권1호
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    • pp.20-29
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    • 2008
  • The basis of the economic evaluation of vaccination is the balance between the use of the resources (input) and the improvements that result from the vaccination (output). Techniques used for economic evaluation of vaccination are cost analysis, cost-minimization analysis, cost-effectiveness analysis, cost-utility analysis and cost-benefit analysis. Cost analysis seeks to characterize the costs of a given vaccination program. Cost-effective analysis is to helps policy-makers decide on the best use of allocated resources, whether cost-benefit analysis is to helps policy-makers decide on the overall allocation of resources. Cost-utility analysis is a specific form of cost-effective analysis in which outcomes are reduced to a common denominator such as the quality-adjusted life year (QALY) or disability-adjusted life year (DALY). Many economic analyses have been conducted on vaccines in the world, but there have been a little studies on economic evaluation on vaccines in Korea. This paper reviewed the methodology used to economic evaluation on vaccines and immunizations and addressed some examples of the methods.

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블럭펄스 함수에 의한 선형 디지탈 시스템의 모델 축소에 관한 연구 (A Study on Model Reduction of Linear Digital Systems via Bblock Pulse Functions)

  • 안두수;이승;채영무
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.556-558
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    • 1990
  • A method of model reduction for reducing a higher order Z-transfer function to its lower order model is developed based on the Block - pulse function. The approach is following : I. Block - pulse function can be applied for Z-transfer function of linear digital system described by high order. II. To determined both the coefficients of the denominator and numerator of reduced model. The proposed method is simple for computation, can preserve the dynamic characteristic of the original model satisfactorily.

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CONSTRAINED INTERPOLATION USING RATONAL CUBIC SPLINE WITH LINEAR DENOMINATORS

  • Duan, Qi;Xu, Gongxue;Liu, Aikui;Wang, Xuefu;Cheng, Fuhua
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.203-216
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    • 1999
  • In this paper a rational cubic interpolant spline with linear denominator has been constructed and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally the approximation properties have been studied.

연산의 관점에서 본 등식의 성질에 관한 고찰

  • 김부윤;정영우;박영식
    • East Asian mathematical journal
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    • 제26권2호
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    • pp.179-190
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    • 2010
  • We study the theoretical background on the relationship between the equality property and operations treated in different sub-areas in secondary school mathematics curriculum respectively studied. Furthermore, we discuss in detail the equality property in rational numbers field $\mathbb{Q}$ and the real numbers field $\mathbb{R}$. Through this study, professional knowledges of school teachers are enhanced so that these aforementioned knowledges are connected smoothly to teaching activities in classrooms.