A dynamic input - output model with random consumption vector s ( t , ) , random consumption coefficient matrix and random investment coefficient matrix which the time lag is one has been discussed . by means of modern stochastic analysis and markov process , it has been proved that the random dynamic input - output model does not have a balanced growth solution 对具有随机消费向量s ( t , ) ,随机投入产出消耗系数矩阵、随机投资系数矩阵的动态模型,利用现代概率分析、马氏过程等工具,证明了其经济稳定增长解不存在的结论
The principal contributions of this dissertation are : 1 . a high fidelity and real - time rotor wake inflow model was built up . based on peters - he finite states wake theory , a new influence coefficient matrix for high speed flight was derived , the modified wake model is better suitable for the flight state with a large wake skew angle 本模型以peters - he有限状态尾迹理论为基础，修正了大尾迹倾斜角时的诱导速度影响系数矩阵，并结合了王氏涡流理论，导出了旋翼诱导速度垂向分量和旋转分量的表达式，可计算平尾、尾桨和垂尾气动中心处诱导速度各分量。
Moreover , in the application of aircraft structures design , the composite wing is still to meet the needs of aeroelastic design . through reading the aerodynamic influence coefficient matrix from the nastran file , this paper generates a static aeroelastic equilibrium equation and divergence eigen - equation , which is needed by the aeroelastic tailoring of composite wing . through this equation , the aeroelastic tailoring of composite wing and its optimization design have come into being 此外在飞机结构设计过程中，复合材料翼面结构还要满足气动弹性设计的需要，本文通过读入由nastran所产生的气动影响系数矩阵，构造出满足复合材料气动弹性分析所需要的静气动弹性平衡方程和发散特征方程，并在此基础上实现了复合材料气动弹性剪裁优化设计。
For example , at each iteration at most four reduced linear systems of equations with the same iterative coefficient matrix need to be solved to get iterative directions and the iterative matrix involves only constraints in the working set , the number of which are much less than that of the original problem 此外它还有其它一些良好性质，例如其子问题通常只包含同系数的线性方程组，并且这些方程组在一定的假设条件下都是可解的。然而，从理论和实用的角度来看，现有的qp一free算法仍存在两个主要问题有待解决。
( 1 ) the posterior distribution of the coefficient matrix , the precision matrix and covariance matrix , and their bayesian estimation under the matrix normal - wishart conjugate prior distribution . ( 2 ) the deduction of the predictive distribution , proved to be matrix t distribution . ( 3 ) the designs of bayesian multivariate mean value control charts in terms of the relationship between the multivariate wishart distribution and x2 distribution , the bayesian process capability index and its confidence lower limi 通过多方程模型系统的统计结构，证明了矩阵正态? wishart先验分布是模型参数( ， )的共轭先验分布，研究了该先验分布下模型系数矩阵、精度阵和协方差阵的后验分布及其贝叶斯估计，对模型预报密度函数进行了严格的数学推导，并将其应用于多元质量控制领域，构造了贝叶斯均值向量联合控制图；结合wishart分布与x ~ 2分布之间的关系，设计与推断了贝叶斯多指标过程能力指数及其贝叶斯置信下限。
Based on the electromechanical coupling characteristic of the multi - machine power system , the transitive closure is calculated depending on the synchronization torque coefficient matrix . then a proper threshold value is chosen to achieve the reasonable block decoupling of multi - machine power system . eigenvalues of block - decoupling subsystem are calculated respectively 该方法根据多机电力系统的机电耦合特性，在多机系统同步力矩系数矩阵的基础上，求取传递闭包，通过选择适当的阈值水平，实现多机系统的合理分块解耦；对各分块解耦子系统分别计算特征值，各子系统的特征值的集合可以近似作为原多机系统的特征值。
