强向量

In this paper, by using some characteristic quantities such as value function, trust region radius, etc. in trust region method, we present a global error bound for the distance between a feasible solution and the optimal solution under the condition that the gradient vector of the objective function is strongly monotone.

本文利用信赖域方法中的几个特征量（由预测下降量给出的价值函数与信赖域半径等），在目标函数的梯度向量是强单调的条件下，为约束最优化问题的可行解与最优解之间的距离提供了一个全局误差界。

In vector optimization one investigates optimal elements such as minimal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space.

前言在向量最优化中，人们研究偏序线性空间中非空子集的最优元，比如极小元，强极小元，真极小元或者弱极小元。

To denoise, the Byes principle can be applied to train the mass sample, and promote the representability of the characteristic vector. The practice proved that the BP neural networks have capacity of error acceptance, and can classify the vehicle samples not trained. The Fast Vehicle Classification system can meet the demand of the high precision classification.

对于测量系统提取中的一定范围中的数据"噪声"，以Bayes法则进行对大量样本先验去除"噪声"，提高了特征向量的代表性，理论与实际证明这样得到的BP网络有强容错能力，识别没有看到过的汽车样本能够达到高精度识别要求。

In order to research topological vector space,the relations between strong lower K-semi continuity and continuity and K- continuity are investigated.

研究了序拓扑向量空间映射的强下K-半连续性与连续性及K-连续性之间的关系，得到了一些充分条件和必要条件

Acorrding to the character that wavelet transform technique can localize thetime-domain and frequency-domain, it can focalize any detail of signals and can recognize theabrupt signal and nostationary signal. The characteristics of typical fault for the centrifugalcompressor rotor are extracted by wavelet transform, and the characteristics vector is foundedby using energy as element.

通过小波变换技术对时域和频域同时具有良好的局部化性质，可以聚焦到信号的任意细节，对突变信号和非平稳信号具有很强的识别能力，利用小波包变换对离心压缩机转子典型故障的振动信号进行特征提取，并以&能量&为元素，构造离心压缩机故障信号的特征向量，以便神经网络识别。

The inconsistency of judgment matrixes, great difference of relative weights and other problems often arise during screening evaluation index by AHP. To solve these problems, a new AHP method is presented by combining the weight vector rang estimation analytic theory with traditional evaluation index rejecting method. Finally, an example of deciding a evaluation index system for submarine pipeline engineering project is given and the result proves that the method is effective and feasible.

针对用层次分析法进行评价指标筛选过程中经常出现比较矩阵不一致、相对权重值差别较大等问题，将权重向量区间估计分析理论与传统的评价指标剔除方法相结合，提出了一种新的AHP评价指标筛选方法，并以海底管道工程方案评价指标体系的确定为例进行了实际应用，结果表明该方法具有较强的实用性和可操作性。

Because of this large-scale interconnected power networks which are operating closely at a limited transmission level and all kinds of fast controllers which are called on to improve systems dynamic behavior, such as fast exciters、 HVDC、 FACTS and so on, the modern power system is inherently a nonlinear system, called as a stressed power system.

对于上述重载电力系统，因为传统的线性化分析方法不容易计及系统内部非线性动态结构信息，所以很难揭示其一些非线性奇异现象的实质。所以，目前国内外，用于研究强非线性系统的动态特性的理论依据主要是向量场正则形理论。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。