n维简谐势阱中粒子的态密度

应用半经典近似法计算任意维数非相对论性理想体系处于简谐外势中的量子态密度，得出解析的表达式，并进行讨论．揭示了简谐外势对系统性质的影响．特别是对于二维系统，使之从准长程序转变为长程序，对于一维系统，使之从无序转变为准长程序     

Computing the variance of the forecast error for the holt-winters seasonal models

This paper presents expressions for the variance of the forecast error for arbitrary lead times for both the additive and multiplicative Holt-Winters seasonal forecasting models. It is shown that even when the smoothing constants are chosen to have values between zero and one, when the period is greater than four, the variance may not be finite for some values of the smoothing constants. In addition, the regions where the variance becomes infinite are almost the same for both models. These results are of importance for practitioners, who may choose values for the smoothing constants arbitrarily, or by searching on the unit cube for values which minimize the sum of the squared errors when fitting the model to a data set. It is also shown that the variance of the forecast error for the multiplicative model is nonstationary and periodic.     

Using the bootstrap to evaluate forecasting equations

The bootstrap, like the jack-knife, is a technique for estimating standard errors. The idea is to use Monte Carlo simulation, based on a non-parametric estimate of the underlying error distribution. The bootstrap will be applied to an econometric equation describing the demand for energy by industry, to determine multi-period forecasting error and choose among competing specifications. The delta method for estimating forecast errors turns out to be too optimistic by a factor of 2.     

中文科技期刊线性增长模型

在描述文献增长的诸多模型中，线性增长模型更适合于某一特定文献类型的短期预测。本文依据我国７８至９６年各年间中文科技期刊的种数，利用最小平方法，拟合出中文科技期刊种数随时间增长的线性方程。针对各年间科技期刊种数存在着自相关的现象，建立了剔除序列相关后的预测模型。     

单体液压支柱设计的优化方法

本文讨论了单体液压支柱设计的优化方法。首先,按重量最轻原则建立了优化设计的数学模型,然后分析了数学模型的解法,并利用电子计算机求解。     

树枝型专用线取送车算法的研究

本文对树枝型专用线不同类型的取送车形式建立了数学模型并提出了简捷的启发式算法．     

关于调和映照的两个不存在性定理

研究以复射影空间ＣＰ＾ｎ和四元数射影空间ＱＰ＾ｎ为始流形或靶流形的调和映照的稳定性，得到了两个不存在性定理。     

局部紧Abel群情况下的算子调和分析——F.Riesz和M.Riesz定理

设G是局部紧Abel群,B是G上的无Order弃次Banach代数,(?)_B~1为B上的右平移可积算子全体。在某些条件下,(1)在(?)中关于算子的F.Riesz和M.Riesz第一定理成立。(2)在(?)中解析算子的F.Riesz和M.Riesz第二定理成立。     

浅谈变频器运行中的问题及解决方案

本文针对变频器运行过程中存在的谐波问题、负荷匹配以及发热问题进行分析，并且提出相应的解决方案。