凸轮实测中角度基准偏移误差的消除方法

引起凸轮测量误差的主要原因之一是实测时的角度基准与理论设计时的角度基准不一致,本文利用凸轮的一次离散实测数据,采用分段抛物线拟合函数,以角度搜索法插值得到不同角度基准下的多组测量数据．从各组测量数据与设计数据的各个最大偏差值中,找到最小值,它所对应的角度基准即为该凸轮的准确的角度基准．通过编程并在实测凸轮中验证了此方法的可靠性．     

The diagnonal multivariate natural exponential families and their classification

A natural exponential family (NEF)F in ? ⁿ ,n>1, is said to be diagonal if there existn functions,a ₁,...,a _n , on some intervals of ?, such that the covariance matrixV _F (m) ofF has diagonal (a ₁(m ₁),...,a _n (m _n )), for allm=(m ₁,...,m _n ) in the mean domain ofF. The familyF is also said to be irreducible if it is not the product of two independent NEFs in ? ^k and ? ^n-k , for somek=1,...,n?1. This paper shows that there are only six types of irreducible diagonal NEFs in ? ⁿ , that we call normal, Poisson, multinomial, negative multinomial, gamma, and hybrid. These types, with the exception of the latter two, correspond to distributions well established in the literature. This study is motivated by the following question: IfF is an NEF in ? ⁿ , under what conditions is its projectionp(F) in ? ^k , underp(x ₁,...,x _n )∶=(x ₁,...,x _k ),k=1,...,n?1, still an NEF in ? ^k ? The answer turns out to be rather predictable. It is the case if, and only if, the principalk×k submatrix ofV _F (m ₁,...,m _n ) does not depend on (m _k+1,...,m _n ).     

Moment closure hierarchies for kinetic theories

This paper presents a systematicnonperturbative derivation of a hierarchy of closed systems of moment equations corresponding to any classical kinetic theory. The first member of the hierarchy is the Euler system, which is based on Maxwellian velocity distributions, while the second member is based on nonisotropic Gaussian velocity distributions. The closure proceeds in two steps. The first ensures that every member of the hierarchy is hyperbolic, has an entropy, and formally recovers the Euler limit. The second involves modifying the collisional terms so that members of the hierarchy beyound the second also recover the correct Navier-Stokes behavior. This is achieved through the introduction of a generalization of the BGK collision operator. The simplest such system in three spatial dimensions is a 14-moment closure, which also recovers the behavior of the Grad 13-moment system when the velocity distributions lie near local Maxwellians. The closure procedure can be applied to a general class of kinetic theories.     

A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach

In this paper, we construct a general theory of a priori error estimates for scalar conservation laws by suitably modifying the original Kuznetsov approximation theory. As a first application of this general technique, we show that error estimates for conservation laws can be obtained without having to use explicitly any regularity properties of the approximate solution. Thus, we obtain optimal error estimates for the Engquist-Osher scheme without using the fact (i) that the solution is uniformly bounded, (ii) that the scheme is total variation diminishing, and (iii) that the discrete semigroup associated with the scheme has the -contraction property, which guarantees an upper bound for the modulus of continuity in time of the approximate solution.

     

Optimal error estimates of a locally one-dimensional method for the multidimensional heat equation

For the multidimensional heat equation in a parallelepiped, optimal error estimates inL ₂(Q) are derived. The error is of the order of +¦h¦² for any right-hand sidef L ₂(Q) and any initial function ; for appropriate classes of less regularf andu ₀, the error is of the order of ((+¦h¦² ), 1/2<1.Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 185–197, August, 1996.     

一种改进的树形矢量量化编码算法

矢量量化中的一个最严重的问题是在一本码本中搜索最近码字的高计算复杂度。本文在研究树形矢量量化的基础上提出了一种改进的树形矢量量化编码算法。实验结果表明,本文提出的编码算法相对于树形矢量量化算法可大大改善峰值信噪比（ＰＳＮＲ）。     

脉冲示踪法实验误差分析

本文从理论和实验两方面分析了脉冲示踪法中脉冲时间、示踪剂输入和记录仪记录时间差、示踪剂纯度与用量和实验温度对反应器内物料停留时间分布和流动模型参数测定误差的影响,以便在实验中采取相应措施减小或消除误差,获得准确的实验结果。     

一种神经网络实现GPS导航定位算法

目的 研究ＧＰＳ接收机状态解算的估计方法。方法 利用Ｈｏｐｆｉｅｌｄ神经网络对ＧＰＳ接收机数据进行处理,结果 以统计自述平均误差和均方根误差作为衡量性能的指标,神经网络方法与迭代量小均方误差算法相比较定位误差减小,结论利用神经网络实现ＧＰＳ接收机状态解算是可行的,且与迭代最小均方误差算法比较,可提高定位精度。     

间接碘量法误差问题讨论

间接碘量法是常用的氧化还原分析方法之一。本文对引起间接碘量法产生误差的各种原因进行了讨论,推导出不对称电对氧化还原反应计量点电位计算的一般表达式,并提出了改进滴定方法的建议。     

中国货币政策中间目标变量的选择

利用互协关系检验（ｃｏ－ｉｎｔｅｇｒａｔｉｏｎｔｅｓｔｓ）的方法,考察我国的货币总量Ｍ０、Ｍ１和Ｍ２与其他主要宏观经济变量之间是否存在一种长期的稳定关系．结果表明,Ｍ２与工业生产总值ＧＩＰ、企业１年期短期名义贷款利率ｒ之间存在着长期稳定关系,由此估计出的货币需求函数有较好的统计性质,因此,Ｍ２应是我国的货币政策中间目标变量的首选对象．