可证明的

And then some ellipses that AUGR estimator is better than the OLS estimator and AUGL estimator is better than the OLS estimator are given, respectively.Second, the definition of the almost unbiased unified biased estimator is proposed. This definition includes the familiar almost unbiased estimators in literatures, and it is the unified expression of the familiar almost unbiased estimators. Followed the biased and variance are compared of AUUB estimator and the unified biased estimator, respectively. AUUB estimator has smaller bias than UB estimator and the variance of AUUB estimator is between the variance of UB estimator and 4 times of the variance of UB estimator. Finally the properties of AUUB estimator are discussed. The conclusion is gained that there are parameters made AUUB estimator is better than OLS estimator in terms of their mean square error. The sufficient and necessary condition that AUUB estimator is admissible is given. The ellipse is given that AUUB estimator is

然后给出了几乎无偏统一有偏估计的定义，该定义包括了文献中常见的几乎无偏估计，实现了常见几乎无偏估计的统一表达式；接下来我们比较了几乎无偏统一有偏估计与统一有偏估计的偏度与方差，得出了几乎无偏统一有偏估计比统一有偏估计有较小的偏度，几乎无偏统一有偏估计的方差介于统一有偏估计的方差与统一有偏估计的方差的四倍之间的结论；最后我们对统一有偏估计的主要性质作了讨论，证明了存在参数K，S使得几乎无偏统一有偏估计在均方误差意义下优于最小二乘估计的结论，给出了几乎无偏统一有偏估计为可容许估计的充要条件，还给出了在均方误差阵意义下几乎无偏统一有偏估计优于最小二乘估计的椭球。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

然后对两个不同型部件、一个修理设备组成的串联系统和并联系统的状态转移概率，以及系统的稳态可用度进行系统研究，得到了如下一些结果。第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

In this paper, the verifiability of the voters' qualification and talliers' identification will be solved by a dynamic multi-secret sharing scheme without invoking more zero knowledge proof to maintain privacy, universal verifiablitlity, and anonymity of ballots. It holds more communication efficiency and more security than the proposed schemes in early time.

提供的电子投票方案，无须调用多次交互式的零知识证明验证投票人的选举资格和监票人的身份，而是利用动态多密门体制方便地实现了选票的秘密性、广泛可验证性、公平性和匿名性，较之以前的投票方案具有较高的通信效率和安全性。

In this paper, the verifiability of the voters' qualification and talliers' identification will be solved by a dynamic multi-secret sharing scheme without invoking more zero knowledge proof to maintain privacy, universal verifiablitlity, and anonymity of ballots.

提供的电子投票方案，无须调用多次交互式的零知识证明验证投票人的选举资格和监票人的身份，而是利用动态多密门体制方便地实现了选票的秘密性、广泛可验证性、公平性和匿名性，较之以前的投票方案具有较高的通信效率和安全性。

Cadillac Model M. In 1907, Cadillac offered two distinct touring car body styles for the Model M series: the elegant Victoria Light Touring Car and this "Straight" Light Touring Car. Both were powered by the single-cylinder Cadillac engine and priced at $950, or $1,025 with a top. In 1908, three Model M Runabouts similar to this touring car were randomly selected to prove that the precision manufacturing methods employed by Cadillac guaranteed complete interchangeability of parts.

1907年，凯迪拉克品牌为旗下的M系列车型提供了两种不同的车身设计：优雅风格的四轮折蓬式车型和直线型敞蓬车，这两种车型都配备了凯迪拉克的单缸发动机，售价从 950美元到1025美元。1908年，和这款四座敞蓬车相似的三款M型小型单座敞篷车的出现充分证明，凯迪拉克品牌的精密制造工艺和标准化的零部件生产，确保了汽车零部件可在不同车型之间交替使用。

The results of Glass tank test experimental showed that there is no viscosity change in stimulation of acoustic wave on test of TCE.

音波刺激玻璃槽实验结果发现，音波刺激对纯TCE的黏滞度并无显著的影响，但对孔隙介质中之纯TCE则有较显著的影响，因此推论单纯音波能量不足以改变TCE的黏滞度，而孔隙介质中TCE黏滞度的变化，应致因於音波使介质颗粒间摩擦而导致TCE黏滞度的变化，此实验结果可对弹性波增加污染物移除效果之机制，提供一项有力证明。

In addition, this method is used in the motion control study of spinning machine tool, and achieve good control effect

机床的工作台可视为直角坐标型的机器人，这类机器人是近似线性系统，可以采用比较复杂的迭代学习控制方法，因此，本文提出了弹性移动关节机器人的混合PID迭代学习控制律，证明了该方法的收敛性，并将这种方法应用于旋压机床的学习运动控制，达到了良好的控制效果。

In 1950, while a trench was being dug in the property of the Sisters of Charity, to the north-west of the Franciscans' olive grove, a grotto was discovered marked with scratchings which give proof of long devotion. Dating from Byzantine times, these symbols were studied by two professors from the Franciscan Biblical Institute and by two from the French Biblical School, Frs.

1950年，当仁爱修女会的财产开始被挖出沟渠的时候，位於西北边的方济会橄榄果园，发现了一间刮痕的石室，它是长期奉献祈祷的证明，这资料可追溯到拜占庭时期，这些记号被两位来自方济会圣经学会的教授，和两位来自法国圣经学院的Frs。

While purists may consider the second way as a cheat, not really a cross country road trip, each individual needs to ask themselves whether they want to prove they have the endurance make the entire trip in one shot, or to see the country from the seat of a bike.

虽然纯化，可考虑采用第二种方式的欺骗，而不是真正的越野之旅，每个人必须问问自己，是否他们想证明他们的耐力使整个行程的一杆，或者看到了该国的所在地的自行车。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。