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Though the almost unbiased estimator was still a biased estimator, it has smaller bias than corresponding biased estimator.In this paper, we first study the properties of the almost unbiased generalized ridge estimator and the almost unbiased generalized Liu estimator.

但有偏估计毕竟偏离参数的真值，因此学者们又提出了几乎无偏估计的概念，虽然几乎无偏估计仍然是有偏估计，但是它比相应的有偏估计有更小的偏度。

The first part of this thesis is basic on the generalized Hamming weights of linear codes over rings and arranged as follows: In section one, we first introduced the definition of generalized Hamming weights and weight hierarchy over binary field GF (2) and its extension to nonlinear codes over GF (2) and linear codes over rings.

本文的第一部分就是围绕环上线性码的广义Hamming重量这个课题展开的，主要内容如下：第一节，首先介绍了GF(2)上线性码的广义Hamming重量和重量分级的概念，以及这些概念是如何被推广至非线性码及环上的线性码上的。

The generalized Walsh spectral characteristics and the generalized auto-correlation function characteristics of orthormophic permutations are studied by using of knowledge about the relation between orthomorphic permutations and vector Boolean functions.

运用向量布尔函数的知识研究了正形置换的广义一阶Walsh谱特征和广义自相关函数的特征，通过正形置换的广义一阶Walsh谱特征给出了正形置换的几种构造方法。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

Generalized ridge estimation ; kantorovich inequality ; eigenvalue ; trace of matrix ; canonical correlation coefficient ; generalized correlation coefficient

广义岭估计； Kantorovich不等式；特征值；矩阵的迹；典型相关系数；广义相关系数

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

A new method is proposed to apply generalized chi square distribution to describe the asymmetrical distributions of noise correlation,and using generalized Gaussian distribution to describe the symmetrical distributions of noise correlation.

实验结果表明，该方法与仅采用一个广义高斯分布的方法相比，可以使鉴别错误率降低38%以上，可见利用不同的概率密度函数来描述相应的分布是减小鉴别错误率的一个有效途径。

Also, generalized confidence spheres of regression coefficient are proposed with the concept of generalized confidence region.

模拟结果显示，这种检验能很好的控制检验水平，并且有更高的检验功效。

If R satisfies =0 for any elements x ,y in R then ⑴when k =1, R is commutative;⑵when R has the unity, R is commutative;⑶when R has at least one right regular element and f 2 (t 1,t2) has no terms with degree1 such that Fn= F then R iscommutative when R has at least one right regular element. Here we would like to point out that the above results generalized the results of Fu changlin ,moreover generalized some results of other references . This results enriched the commutative conditions of any ring.

若任取R 中元x， y均有=0 那么⑴k =1时R 为交换环；⑵R 有单位元时R 为交换环；⑶f_2 (t_1，t_2)中t_2的次数不小于k -1且R 中至少有一个右正则元时R 为交换环。

This invention discloses an excavation method of generalized association rule used to analysis the compound rule of Chinese medicine; the method is essentially an excavation of association rule combined with excavation method of generalized association rule expressed by field knowledge, using semantic Web technology as the principal means expressed by field knowledge.

本发明公开了一种用于分析中医方剂药物组配规律的泛化关联规则挖掘方法，该方法实质上是一种结合关联规则挖掘和领域知识表示的泛化关联规则挖掘方法，它使用语义万维网技术作为领域知识表示的主要手段。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切