关于A~ 的求法

本文分几种情况讨论A~ 的计算法。     

Exact Computation of Parallel Robot''''s Generalized Inertia Matrix

According to the definition of the new hypothetical states which have obvious physical sig-nificance and are termed as no-gravity static and accelerated states, a method for exact computa-tion of the parallel robot's generalized inertia matrix is presented. Based on the matrix theory, the generalized inertia matrix of the parallel robot can be computed on the assumption that the robot is in these new hypothetical states respectively. The approach is demonstrated by the Delta robot as an example. Based on the principle of the virtual work, the inverse dynamics model of the robot is formulized after the kinematics analysis. Finally, a numerical example is given and the element dis-tribution of the Delta robot's inertia matrix in the workspace is studied. The method has computational advantage of numerical accuracy for the Delta robot and can be parallelized easily.     

Bayesian Regularized Multivariate Generalized Latent Variable Models

We consider a multivariate generalized latent variable model to investigate the effects of observable and latent explanatory variables on multiple responses of interest. Various types of correlated responses, such as continuous, count, ordinal, and nominal variables, are considered in the regression. A generalized confirmatory factor analysis model that is capable of managing mixed-type data is proposed to characterize latent variables via correlated observed indicators. In addressing the complicated structure of the proposed model, we introduce continuous underlying measurements to provide a unified model framework for mixed-type data. We develop a multivariate version of the Bayesian adaptive least absolute shrinkage and selection operator procedure, which is implemented with a Markov chain Monte Carlo (MCMC) algorithm in a full Bayesian context, to simultaneously conduct estimation and model selection. The empirical performance of the proposed methodology is demonstrated through a simulation study. An application of the proposed method to a study of adolescent substance abuse based on the National Longitudinal Survey of Youth is presented.     

服务台由N个部件串联的M/G/1(E,MV)可修排队系统的平稳分布

文章考虑到服务台是由N个不同型部件串联组成的M/G/1(E,MV)可修排队系统,其中服务台工作当且仅当N个部件都工作.假定每个部件的寿命服从指数分布,故障部件的修理时间服从一般分布.通过引入顾客的“广义服务时间”和队长过程的嵌入Markov链,得到了嵌入Markov链的平稳分布的递推表达式以及平均队长.     

大开间异形柱框架的地震反应谱分析

运用有限元软件ANSYS,对大开间钢筋混凝土异形柱框架进行了动力特性和地震反应谱分析.得到结构的自振频率、振型特点;以及结构在8度抗震设防情况下水平位移沿楼层高度分布曲线、楼层剪力沿楼层高度分布曲线.比较了纯异形柱框架与底层矩形上部异形柱框架的地震反应谱分析结果,表明底层矩形上部异形柱框架能够改善结构底部的抗震性能.     

Models for Semiordered Data to Address Not Applicable Responses in Scale Measurement

The purpose of this study is to develop and evaluate unidimensional models that can handle semiordered data within scale items (i.e., items with multiple ordered response categories, and one additional nominal response category). We apply the models to scale data with not applicable (NA) responses to compare the model performance to conditions in which NA responses are treated as missing and ignored. We also conduct a small simulation study based on the operational study to evaluate the parameter recovery of the models under the operational conditions. Findings indicate that the proposed models show promise for (a) reducing standard errors of trait estimates for persons who select NA responses, (b) reducing nonresponse bias in trait estimates for persons who select NA responses, and (c) providing substantive information to practitioners about the nature of the relationship between NA selection and the trait of measurement.     

一类非线性Φ-强伪压缩映射Mann迭代序列的收敛性

在q一致光滑Banach空间中,研究了一类广义LipschitzΦ-强伪压缩映射和Φ-强增生映射的Mann迭代收敛问题,所得结果改进和扩展了目前的相关结果。     

向量最优化问题的最优性条件

定义了几种集值映射的广义凸性，研究了相应的性质刻画及其Gordan—Farkas型定理，并利用此Gordan—Farkas型定理给出了集值映射向量最优化的最优性条件．     

广义次对角占优矩阵的等价条件

广义次对角占优矩阵是计算数学和矩阵理论研究的重要课题之一，在控制理论中有着相当广泛的应用本文给出了实矩阵的广义次对角占优矩阵的一个充要条件，同时给出了判断广义次对角占优矩阵的较简单的方法。     

微积分中值定理的统一证明及推广形式

Cauchy中值定理统一了微积分中值定理各种形式，从而建立了微分中值定理和积分中值定理之间的内在联系,以Rolle中值定理为基础，借助不同形式辅助函数可对其它几个中值定理作出多种形式的统一证明；利用Taylor公式可以进一步导出微积分中值定理的推广形式。