线性的

In this paper, we study characterizations of admissible in the general linear model Y, Xβ,ε|ε～(0,σ~2∑. We demonstrate that an admissible linear estimator is as the conditional generalized ridge-type estimation in the no constraint, equality constraint, inequality constraint general linear model. We study the superiority of this conditional generalized ridge-type estimation, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares. We also give the choice of the matrix K.

本文主要研究了一般线性模型Y，Xβ，ε|ε～(0，σ~2∑中参数估计的可容许性特征，得到了一般线性模型在无约束，有等式约束及有不等式约束下，可容许线性估计均具有条件广义岭估计的形式的结论，并且讨论了这一条件广义岭估计的优良性，证明了其在均方误差和均方误差矩阵意义下都优于约束最小二乘估计，给出了参数矩阵K的选取方法。

Therefore in recent, the research about bilinear mapping based group signature is also at a start stage, there are no a bilinear mapping based group signature scheme obtains common recognition. There are some design defects in existing schemes, and the security is not very ideal.

所以目前基于双线性映射的群签名还处于一个起步阶段，还没有一个有代表性的基于双线性映射的群签名方案，而现有的一些基于双线性映射的群签名方案的设计缺陷较多，且安全性较差。

A comprehensive research has made in designing technologies of bilinear mapping based threshold group signature scheme. A bilinear mapping based chamellon threshold group signature and a forward security threshold group signature were analyzed, the mistakes and flaws in these schemes were pointed out.

对基于双线性映射的门限群签名方案设计技术进行了深入的研究，分析了一个基于双线性映射的卡梅隆门限群签名和一个基于双线性映射的前向安全的门限群签名，指出了这些方案设计中存在的一些设计错误和缺陷。

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

Therefore, a control problem of distributed parameter systems is simplified to a control problem of a linear system.

再次，证明了管式反应器具有可控性，应用最优线性二次型调节器方法对该系统进行控制，将分布参数系统这一特殊的、复杂的系统的控制问题简化为一般线性系统的控制问题，同时，提出了一种将分布参数系统这种非线性系统的控制问题转化为一般线性控制理论进行控制的方法。

Linear discriminant similar to esthesia device, classifies all points of the training assembly through searching linear combination which can best segment variables of all types, and Fisher linear discriminant was the first one.

与感知器类似的线性判别式是通过搜索可以最佳分隔各个类别的变量的线性组合来对训练集合中的所有点进行分类，最早的是Fisher线性判别式。

First, the two convex hulls from the training set of approximate linear classification are similarly squeezed into the linearly separable ones, and based on the two similarly squeezed linearly separable convex hulls, an optimal separating hyperplane is figured out by using the method of halving the nearest points and the maximal margin method.

首先对近似线性分类中的训练集所形成的两类凸壳进行了相似压缩，使压缩后的凸壳线性可分；基于压缩后线性可分的凸壳，再用平分最近点和最大间隔法求出最优的分划超平面。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

To develop Linear Fractional Transformation model based on quasi-linear model for ground-to-air missile, state transformation method was used to establish quasi-Linear Parameter Varying model for missile longitudinal short-period dynamics by changing missile states along with an equilibrium trajectory decided by time-varying parameters. Based on the obtained quasi-LPV model, the LFT model of the missile was developed by use of MATLAB functions, and the missile dynamics were explicitly separated into certainty part and time-varying parameter part.

为了建立基于准线性化模型的地空导弹线性分式变换模型，采用状态替换方法将导弹的状态沿着一条由时变参数决定的平衡点轨迹进行变换，建立了纵向短周期动力学的准线性参数时变模型；基于所建立的准LPV模型，采用MATLAB函数建立了导弹的LFT模型，将导弹动力学明确描述为确定性部分和时变参数部分。

Secondly, the problem of linear prediction for Qy in the original model and its transformed model is considered, the notion of linear sufficiency and the problem of comparison of linear models with respect to prediction problems are proposed and the corresponding necessary and sufficient conditions for the transformation to be linearly sufficient and for one model to be superior over another are given, respectively.

其次，我们讨论了原始模型和变换模型下Qy的线性预测问题，提出了在该预测问题意义下的线性充分性和模型比较的概念，分别给出了变换Fy是线性充分的、以及一个模型优于另一个模型的充分必要条件，此外还得出了一些特殊结论。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。