相应点

Firstly gives a definition of non standard accumulation point closure, and then compares it with the standard accumulation point closure, some properties of non standard accumulation point closure are discussed.

给出了非标准聚点的定义，并与标准聚点定义作了相应比较，讨论了非标准聚点的若干性质

Cursor on the local references in the menu bar select "Insert | footnotes and endnotes", the pop-up dialog box, select the "Notes", click "Options" button to amend the format for the Arabic numbers, the location for the "document at the end of" Word on the determined cursor where to insert a reference number, and automatically skip to the tail of the corresponding document No. Office type references please note, where according to the bibliographic reference format to add the corresponding literature.

光标放在引用参考文献的地方，在菜单栏上选"插入｜脚注和尾注"，弹出的对话框中选择"尾注"，点击"选项"按钮修改编号格式为阿拉伯数字，位置为"文档结尾"，确定后 Word 就在光标的地方插入了参考文献的编号，并自动跳到文档尾部相应编号处请你键入参考文献的说明，在这里按参考文献著录表的格式添加相应文献。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

This paper set out from the high order shear deformation theory at first, and utilize the spline finite point method to set up a new dynamic model of piezoelectric intellectual plate. Secondly ,a corresponding MATLAB program is written according to the theory, and has analysed the deformation of the piezoelectric intellectual plate. In the end , this paper has analysed the vibration control of the piezoelectric intellectual plate. Some results are compared with the analytic values, and have proved the rationality of the results of this paper.

本文首先从高阶剪切变形理论出发，利用样条有限点法，建立了压电智能层合板新的动力模型；其次，利用MATLAB语言编写了相应的计算机程序，对压电智能层合板的变形进行了分析；最后分析了压电智能层合板振动控制问题；其中一部分结果与相应的解析解作了详细的比较，证明了本文结果的合理性。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

Mainly in a method of the lattice vector quantifying coding and decoding, a new basic code book is selected out and directly or indirectly comprises all points whose value is less than or equal to 3 of any dimension in a RE point set, and points on a fourth grade hypersphere in the basic code book are all odd points so that part of nearest adjoint point values can be comprised in the basic code book only via corresponding odd number processing.

一种格矢量量化编解码的实现方法及装置，其主要是在格矢量量化编码方案中，选定新的基础码本，在该基础码本中直接或间接地包含了RE 8 点集中任意维的数值小于等于3的所有点，且该基础码本中的第4级超球面上的点全部为奇数点，以使得部分的最近邻点数值仅经过相应的奇数化处理便可以包含于基础码本中。

The results show that the solidifying point and pour point of bio-diesel are affected by the fatty acid composition.

结果表明，生物柴油的凝点和冷滤点值受其脂肪酸甲酯分布的影响，饱和脂肪酸甲酯含量高的生物柴油，其凝点和冷滤点值也相应较高。

In fact, we can get the optimal tangents just by solving a system of linear equations with tridiagonal coefficient matrix. Then we can construct interpolating curves with continuous curvature locally just with end points, tangents and curvatures.

整条曲线可以通过构造插值端点、端切向以及端曲率的曲线得到；通过对型值点处的曲率进行低通滤波处理并对型值点进行相应调整，可以得到平面点列的一种自动光顺算法。

You can also operate slide controls using the Operating tool by clicking on a point on the slide to snap the slider to that location, by clicking on a scroll button to move the slider slowly toward the arrow, or by clicking in the slide's digital display and entering a number.

你还可以直接在滑竿控件的一个点上点击鼠标改变它到相应的值，点击卷轴按钮可以缓慢改变控件值，或直接在数字显示中输入对应值。

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。