极小覆盖

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

Artificial tree, street lamp pole, bill-board series beautify 1 dustcoat solution of the aerial, design 1.1 aerials of concept to be suitable for polarising the ordinary aerial alternately, electricity transfer aerial 1.2 suitable for honeycomb base station communication system and room cover with system 1.3 swivelling lamp pole then 1.4 direction to regulate sector good visual 1.5 sense extremely The urban road, the highway, suburb street lamp, the solution 2 of environment design that the house is lighted,etc., radiation material choose and design 2.1 material to select for use high purity compound glass fibre reinforced plastic fiber 2.2 steel construction choose zinc-plated stainless steel material 2.3 materials measure by the speciality, radiation losses extremely small

1，设计概念 1.1天线适用于交叉极化普通天线，电调天线 1.2适用于蜂窝基站通讯系统及室内外覆盖系统 1.3可旋转灯柱进而调节扇区的方向 1.4极佳视觉感 1.5为城市道路，公路，郊区路灯，住宅照明等环境设计的解决方案 2，辐射材料选择与设计 2.1材料选用高纯度复合玻璃钢纤维 2.2钢结构选择镀锌不锈钢材料 2.3材料经过专业测量，辐射损耗极小

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后，针对紧致度量空间上的等度连续同胚，利用空间的极小性和紧致性，得到以空间中某有限个点的有限长轨道为中心，以ε2为半径的开邻域构成的有限子覆盖，并利用f的等度连续性，由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖，进而得到所要结论。

Minimality ; minimal set ; compact metric space ; open cover ; equicontinuous homeomorphism

极小性；极小集；紧致度量空间；开覆盖；等度连续同胚

F. pumila had the strongest capacity to adhere to walls, and it formed a quite good covering landscape by means of a large quantity of adventitious roots. Furthermore, it was tolerant to shade, and the effects of shading on its growth and landscape covering were very small. P. heterophylla had the rapidest growth and covering speed, and it adhered to walls by adhesive discs, but was defoliated in winter or after a long period of shading. The other three vines climbed walls using adventitious roots, and their adhering capacities were all relatively poor. However, E. fortunei still formed a relatively good covering due to its rapid growth and emerald leaf colour. After shading for four months, leaves of F, pumila, C. grandiflora, and P. serpens became thin, and accordingly their leaf weight per unit area significantly decreased. Shading also reduced chlorophyll contents of C. grandiflora and E. fortunei but enhanced those of F. pumila and P. serpens, It did not influence leaf thickness, leaf weight or chlorophyll content of P. heterophylla. Whether shaded or not, the relationship between Pn and PAR for each species could be expressed as y=alnx+b, and furthermore there was a significant (P.01) correlation between them. Pn and LCP values for all five lianas also significant (P.01) correlated. Shading reduced LCP values of P. heterophylla, C. grandiflora and E. fortunei but increased LSP of F. pumila.

结果表明，1薛荔对墙体附着力最强，它依靠大量的不定根吸固在墙体上，形成很好的覆盖效果，而且薜荔耐荫，遮光对其生长与覆盖的影响很小；爬墙虎的生长与覆盖速度最快，它主要依靠吸盘吸固墙壁，但在冬季或长时间遮光后出现明显落叶现象，影响其覆盖景观；其他3种都依靠不定根沿墙面攀援，附着力相对较差，但扶芳藤由于生长较快，叶色终年保持翠绿，也能形成相对较好的覆盖效果；2遮光4个月后，薛荔、凌霄和蔓九节的叶片变薄，相应地这3种植物单位面积的叶片重量都显著减轻；遮光还使凌霄和扶芳藤的叶绿素含量减少，使薛荔和蔓九节的增加，但对爬墙虎的叶片厚度、叶重和叶绿素含量都不产生明显影响；3无论遮光与否，5种植物的Pn与PAR之间的关系都可用y=alnx+b表示，并且都达极显著相关，Pn与光补偿点之间亦呈极显著相关；遮光还使爬墙虎、凌霄和扶芳藤的LCP下降，并使薛荔的光饱和点升高。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。