Implementing the Double Bootstrap

The single bootstrap already is popular in economics, though the double bootstrap has better convergence properties. We discuss the theory and implementation of the double bootstrap, both with and without the pivotal transformation, and give detailed examples of each. One example is a nonlinear double bootstrap of a Cobb-Douglas production function, and explains the use of Gauss-Newton Regressions as a device to decrease computational time. Another example is double bootstrapping elasticities from a translog production function.     

以可存品与非可存品为消费对象的最优投资消费决策

传统的投资消费决策问题考虑的消费对象局限于单一的非可存品或者单一的可存品 .而且假定银行的贷款利率等于存款利率 .本文假定银行的贷款利率大于存款利率 ,并且投资者的消费对象为包含可存品与非可存品的组合 .可存品的价格假设服从几何布朗运动 ,它的折旧率假定为一个常值 .应用随机控制方法 ,得到等弹性效用函数情形下的最优投资消费策略的显式表达     

网络服务器软件老化现象的测试与分析

提出了一种测试软件老化过程的实验方案，编制了实现该方案的软件工具集，并以应用广泛的Apache网络服务器为目标，研究了当负载为泊松流时服务器的老化现象，用回归分析和ARIMA(自回归差分滑动平均)模型分析了剩余内存的变化情况。结果表明ARIMA模型可以较好地描述和预测内存的使用情况。     

Monotonic solutions of Urysohn integralequation on unbounded interval

In this paper, we investigate a nonlinear Urysohn integral equation on unboundedinterval. We show that under some assumptions that the equation has monotonic solutions belonging to the space of functions being Lebesgue integrable on unbounded interval. The main tool used in our study is the technique associated with measures of weak noncompactness and measures of noncompactness in strong sense.     

Algebraic Riccati equation and J-spectral factorization for estimation

In this paper we investigate on the existence of the stabilizing solution of the algebraic Riccati equation (ARE) related to the filtering problem with a prescribed attenuation level γ. It is well known that such a solution exists and is positive definite for γ larger than a certain γ_F and it does not exist for γ smaller than a certain γ₀. We consider the intermediate case γ(γ₀,γ_F] and show that in this interval the stabilizing solution does exist, except for a finite number of values of γ. We show how the solution of the ARE may be employed to obtain a minimum-phase J-spectral factor of the J-spectrum associated with the filtering problem.     

FEM for evaluation of weight functions for SIF, COD and higher-order coefficients with application to a typical wedge splitting specimen

In the evaluation of accurate weight functions for the coefficients of first few terms of the linear elastic crack tip fields and the crack opening displacement (COD) using the finite element method (FEM), singularities at the crack tip and the loading point need to be properly considered. The crack tip singularity can be well captured by a hybrid crack element (HCE), which directly predicts accurate coefficients of first few terms of the linear elastic crack tip fields. A penalty function technique is introduced to handle the point load. With the use of these methods numerical results of a typical wedge splitting (WS) specimen subjected to wedge forces at arbitrary locations on the crack faces are obtained. With the help of appropriate interpolation techniques, these results can be used as weight functions. The range of validity of the so-called Paris equation, which is widely used in the evaluation of the COD from the stress intensity factors (SIFs), is established.     

矩阵方程的反对称正交反对称解及其最佳逼近

通过广义奇异值分解定理,得到了矩阵方程ATXA=B的反对称正交反对称解存在的一个充要条件,并导出了这个矩阵方程的与已知矩阵最佳逼近的反对称正交反对称解,同时获得了它的最小范数解。     

An Analytical Equation of State for Alkaline Earth Metals

In this work, an analytical equation of state based on statistical mechanical perturbation theory, which was initially developed for normal fluids and can be applied to predict the P–V–T data for saturated liquid alkaline earth metals, is presented. The equation of state is that of Ihm, Song, and Mason, and the temperature-dependent parameters of the equation of state are calculated from a corresponding-states correlation as functions of the reduced temperature. Two scaling constants are sufficient for this purpose, the surface tension and the liquid density at the melting point. The equation of state is used to predict the saturated liquid density of molten alkaline earth metals from the melting point up to 2000 K, for which experimental data exist, within an accuracy of 5%.     

考虑间隙的压气机转子内部流动的数值模拟

采用时间推进法求解三维N-S方程，开发了一种用于计算考虑顶部间隙的压气机转子内部流场的三维粘性程序。对某压气机转子顶部间隙内的流动进行了详细的数值模拟，计算结果与试验结果吻合良好。通过分析可以发现，动叶顶部问隙的流动将引起叶片顶部气流的欠偏转，从而降低了转子附近相当大区域内的做功能力。同时，对于间隙内细微的流动结构也进行了较为深入的分析。     

四阶泛函微分方程周期解的存在性和全局吸引性

研究四阶泛函微分方程x^（4）（t）＋a1x^′′′（t）＋a2x^′′（t）＋a3x^′（t）＋a4x（t）＋g（t,x（t—τ））=p（t）的周期解问题．首先将该方程转变为四维的拟线性微分方程（组）,得到该方程存在唯一周期解的充分条件;然后通过选取适当的李雅普诺夫函数,推导方程任一解的全局吸引性,并进一步得到方程周期解的全局吸引性．最后,通过实例证实了本文结果的正确性．