• Title/Summary/Keyword: Linear combination analysis

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Gravitational Instability of Rotating, Vertically-Stratified, Polytropic Disks

  • 김정규;김웅태;홍승수
    • 천문학회보
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    • 제36권2호
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    • pp.111.2-111.2
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    • 2011
  • While many astrophysical disks are vertically stratified and obey a polytropic equation of state, most studies on gravitational instability (GI) of flattened systems consider isothermal, razor-thin disks by taking vertical averages of disk properties. We investigate local GI of rotating pressure-confined polytropic disks with resolved vertical stratification by performing linear stability analysis. We find that the GI of vertically-stratified disks is in general a combination of conventional razor-thin Jeans modes and incompressible modes. The incompressible modes that dominate in the limit of the maximal disk compression require surface distortion and are an unstable version of terrestrial water waves. Disks with a steeper equation of state are found to be more Jeans unstable because they tend to have a smaller vertical scale height as well as a steeper temperature gradient corresponding to lower pressure support. GI depends more sensitively on the vertical temperature than density distribution. The density-weighted, harmonic mean, rather than the simple mean, of the adiabatic sound speed well describes the dispersion relation of horizontal modes, and thus is appropriate in the expression for Toomre Q stability parameter of razor-thin disks. We generalize Q into vertically-stratified disks, and discuss astrophysical application of our work.

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가속도계 기반의 편마비 환자 보행 평가를 위한 보 검출 (Detection of Steps or Gait Assessment of Hemiplegic Patient Based on Accelerometer)

  • 이효기;김영호;박시운;이경중
    • 대한전기학회논문지:시스템및제어부문D
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    • 제55권10호
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    • pp.452-457
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    • 2006
  • In this paper, an algorithm to detect steps in hemiplegic patients using a 3-axis accelerometer a紅ached on the trunk was proposed. The proposed algorithm consisted of the signal pre-processing, the step detector, the classification of steps and the calculation of stride time. Two FIR band-pass filters were designed and steps were measured by the combination of filtered signals in the vertical and the anteroposterior directions. In addition, the classification of steps and the calculation of stride time were computed by using the detected steps and lateral signals. For the experiment, fourteen hemiplegic patients were participated and the linear accelerations of the trunk and foot switch signals were measured synchronously. To evaluate the system performance, the detected steps and initial contacts by the foot switch were compared. The average error between the steps and initial contacts was 0.024ms and the difference of the average stride time was 0.01s. Finally, all gait events were detected exactly. Results showed that the accelerometry could use for the gait evaluation in clinical rehabilitation therapies.

신뢰성에 기초한 강상형 연속교의 단면 최적설계 (Reliability-Based Optimization of Continuous Steel Box Girder Bridges)

  • 조효남;이두화;정지승;민대홍
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.145-154
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    • 1997
  • The results of optimum design by the deterministic approach adopted in the current design codes depend upon the safety levels of the applied code. But, it is now generally recognized that structural problems are nondeterministic and, consequently, that engineering optimum design must cope with uncertainties. Therefore, it is not an overstatement to affirm that the combination of reliability-based design procedures and optimization techniques is the only means of providing a powerful tool to obtain a practical optimum design solution. In the paper, reliability based optimum design procedure as a rational approach to optimum structural design is presented. The design constraints are formulated based on the ASD, LRFD and reliability theories. The reliability analysis is based on an advanced first-order second moment approach. Uncertainties in the structural strength and loading due to inherent variability as well as modeling and prediction errors are included in failure due to combined bending and shear. For the realistic reliability-based optimization of continuous steel box girder bridges, interactive non-linear limit state model is formulated based on the von Mises's combined stress yield criterion. Comparative results are presented when the ASD criteria are used for the optimum design of a structure under reliability constraints. In addition, this study comparatively shows the results of the optimum design for various criteria of design codes.

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Fourier 급수전걔를 이용한 부분적으로 유체가 채워진 원통형 셸의 고유진동 해석 (Fourier Series Expansion Method for Free Vibration Analysis of a Partially Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 소음진동
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    • 제4권2호
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    • pp.163-175
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    • 1994
  • An analytical method for nautral frequencies of a partially liquid- filled circular cylindrical shell with various boundary conditions is developed by means of the Stokes's transformation and Fourier series expansion on the basis of Sanders' shell equation. The liquid-shell coupled system is divided into two regions for convenient formulation. One is the empty shell region in which the Sanders' shell equations are formulated without the lipuid effect, the other is wetted shell region in which the shell equations are formulated with consideration of the liquid dynamic effect. The shell equations for each regions are combined by the geometry and the force continuities at the junction of the two regions. For the vibration relevant to the liquid motion, the velocity potential of liquid is assumed as a sum of linear combination of suitable harmonic functions in axial direction. The unknown parameters are selected to satisfy the boundary condition along the wetted shell surface. The natural frequencies of the liquid filled cylindraical shells with the clamped- free and the clamped-clamped boundary conditions examined in the previous works, are obtained by this analytical method. The results are compared with the previous works, and excllent agreement is found for the natural frequencies of the shells.

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Colourings and the Alexander Polynomial

  • Camacho, Luis;Dionisio, Francisco Miguel;Picken, Roger
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.1017-1045
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    • 2016
  • Using a combination of calculational and theoretical approaches, we establish results that relate two knot invariants, the Alexander polynomial, and the number of quandle colourings using any finite linear Alexander quandle. Given such a quandle, specified by two coprime integers n and m, the number of colourings of a knot diagram is given by counting the solutions of a matrix equation of the form AX = 0 mod n, where A is the m-dependent colouring matrix. We devised an algorithm to reduce A to echelon form, and applied this to the colouring matrices for all prime knots with up to 10 crossings, finding just three distinct reduced types. For two of these types, both upper triangular, we found general formulae for the number of colourings. This enables us to prove that in some cases the number of such quandle colourings cannot distinguish knots with the same Alexander polynomial, whilst in other cases knots with the same Alexander polynomial can be distinguished by colourings with a specific quandle. When two knots have different Alexander polynomials, and their reduced colouring matrices are upper triangular, we find a specific quandle for which we prove that it distinguishes them by colourings.

Electrodeposition of Ternary CdZnS Semiconductor Thin Films Using a S-Modified Polycrystalline Au Electrode

  • Ham, Sun-Young;Cho, Se-Jin;Lee, Ung-Ki;Jeon, So-Yeon;Shin, Ji-Cheol;Myung, No-Seung;Paeng, Ki-Jung
    • 전기화학회지
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    • 제10권4호
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    • pp.262-264
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    • 2007
  • This paper describes a two-step approach for the electrochemical deposition of CdZnS thin films on the polycrystalline Au electrode. Initially, an Au substrate is electrochemically modified with a sulfur layer. In the second step, the layer is electroreduced to $S^{2-}$ in the electrolyte dosed with the requisite amount of $Cd^{2+}$ and $Zn^{2+}$ ions to generate CdZnS films in situ. This approach was validated using a combination of linear sweep voltammetry and electrochemical quartz crystal microgravimetry. Thus synthesized CdZnS thin films have different composition depending on the composition of electrolytes. CdZnS thin films are characterized by energy-dispersive X-ray analysis and Raman spectroscopy.

Feedback control design for intelligent structures with closely-spaced eigenvalues

  • Cao, Zongjie;Lei, Zhongxiang
    • Structural Engineering and Mechanics
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    • 제52권5호
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    • pp.903-918
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    • 2014
  • Large space structures may have resonant low eigenvalues and often these appear with closely-spaced natural frequencies. Owing to the coupling among modes with closely-spaced natural frequencies, each eigenvector corresponding to closely-spaced eigenvalues is ill-conditioned that may cause structural instability. The subspace to an invariant subspace corresponding to closely-spaced eigenvalues is well-conditioned, so a method is presented to design the feedback control law of intelligent structures with closely-spaced eigenvalues in this paper. The main steps are as follows: firstly, the system with closely-spaced eigenvalues is transformed into that with repeated eigenvalues by the spectral decomposition method; secondly, the computation for the linear combination of eigenvectors corresponding to repeated eigenvalues is obtained; thirdly, the feedback control law is designed on the basis of the system with repeated eigenvalues; fourthly, the system with closely-spaced eigenvalues is regarded as perturbed system on the basis of the system with repeated eigenvalues; finally, the feedback control law is applied to the original system, the first order perturbations of eigenvalues are discussed when the parameter modifications of the system are introduced. Numerical examples are given to demonstrate the application of the present method.

여러 약제의 상승효과 검정을 위한 통계적 기법 (Statistical method for testing synergism among several compounds)

  • 김병수;김주항;김경미;최정주
    • 응용통계연구
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    • 제6권2호
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    • pp.383-391
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    • 1993
  • 암치료에 있어서 암세포의 약제 내성 극복에 관한 연구는 새로운 항암제의 개발 못지 않게 중요한 과제이다. 다약제 내성을 극복하기 위하여서는 여러 가지 변조물질(modulators)이 항암제와 결합투여되고 있지만, 아직까지 이들 변조물질중 어느 것이 다약제 내성의 극복에 더 효과적인지는 밝혀지지 않고 있다. 본 논문에서는 인체 암세포주를 대상으로 여러 종류의 항암제에다 변조물질들을 결합투여하는 경우 용량-반응곡선으로부터 상승효과를 검정할 수 있게 통계기법을 소개하고, 또한 일반화 선형모형의 계산 프로그램인 글림 패키지(GLIM Package)의 매크로(macro)를 사용하여 실제 실험자료를 분석한다. 이러한 분석결과는 in-vivo 실험을 통한 실제 임상적용의 근거를 제공하리라 믿어진다.

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노인의 사회적 지지 및 사회활동과 신체기능의 관련성 (Association of Social Support and Social Activity with Physical Functioning in Older Persons)

  • 박경혜;이윤환
    • Journal of Preventive Medicine and Public Health
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    • 제40권2호
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    • pp.137-144
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    • 2007
  • Objectives : According to Rowe and Kahn (1998), successful aging is the combination of a low probability of disease, high functioning, and active engagement with life. The purpose of this study was to assess the relationship between active engagement with life and functioning among the community-dwelling elderly. Methods : Data were collected from Wave 2 of the Suwon Longitudinal Aging Study (SLAS), consisting of a sample of 645 persons aged 65 and older living in the community. A social activity checklist and social support inventory were used as measures of engagement with life, along with the Physical Functioning (PF) scale as a measure of functioning. The effects of social support and social activity on physical functioning, taking into account the covariates, were analyzed by hierarchical linear regression analysis. Results : Maintenance of social activity and social support were significantly associated with higher physical function, after adjusting for sociodemographic and health-related covariates. Social support appeared to be more prominent than social activity in predicting physical functioning. Conclusions : Social support and social activity are potentially modifiable factors associated with physical function in older persons. Studies examining the role social engagement may play in preventing disability are warranted.

Estimation of ultimate bearing capacity of shallow foundations resting on cohesionless soils using a new hybrid M5'-GP model

  • Khorrami, Rouhollah;Derakhshani, Ali
    • Geomechanics and Engineering
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    • 제19권2호
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    • pp.127-139
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    • 2019
  • Available methods to determine the ultimate bearing capacity of shallow foundations may not be accurate enough owing to the complicated failure mechanism and diversity of the underlying soils. Accordingly, applying new methods of artificial intelligence can improve the prediction of the ultimate bearing capacity. The M5' model tree and the genetic programming are two robust artificial intelligence methods used for prediction purposes. The model tree is able to categorize the data and present linear models while genetic programming can give nonlinear models. In this study, a combination of these methods, called the M5'-GP approach, is employed to predict the ultimate bearing capacity of the shallow foundations, so that the advantages of both methods are exploited, simultaneously. Factors governing the bearing capacity of the shallow foundations, including width of the foundation (B), embedment depth of the foundation (D), length of the foundation (L), effective unit weight of the soil (${\gamma}$) and internal friction angle of the soil (${\varphi}$) are considered for modeling. To develop the new model, experimental data of large and small-scale tests were collected from the literature. Evaluation of the new model by statistical indices reveals its better performance in contrast to both traditional and recent approaches. Moreover, sensitivity analysis of the proposed model indicates the significance of various predictors. Additionally, it is inferred that the new model compares favorably with different models presented by various researchers based on a comprehensive ranking system.