极小性

The properties of four factorized chi-square forms, which are used in minimization of correlated data, are studied, including their biasness and unbiasedness.

研究了关联实验数据的四种因子化形式的χ2 表达式及其极小化性质，同时讨论了极小化估计值的有偏性与无偏性。

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

Secondly,by reduction to absurdity and the sequentially compactness of the space,the minimality of a homeomorphism on a sequentially compact space is discussed.

其次，利用反证法结合空间的序列紧致性对序列紧致空间上的同胚映射的极小性进行讨论。

The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~#,H~(n , W~(1,p)#,H~(n , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers.

本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质，其中包括Lipschitz及Hlder连续性、空间L~p及W~(1，p)的性质、空间BMO的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。

To solve this problem, based on the concept of graph theory we give a few models and arithmetic designs of virtual backbone in the environment of different application, and propose the corresponding routing mechanism with these virtual backbones. The major achievements are outlined as follows:The state of host's power or the time of host's online plays an important role in keeping stability of a virtual backbone. With a view to this feature, the paper introduces a simple and efficient heuristic algorithm for calculating the virtual backbone by seeking a minimum connected dominating set with maximal weight. The maximality of the weight-based choice of backbone nodes guarantees that the most suitable nodes have been chosen for the role of backbone nodes so that they can properly coordinate all the other nodes and keep stability of the virtual backbone in the network.

为了解决这个问题，本文利用网络图论中的一些理论，在不同的应用环境下给出几种虚拟骨干网的模型、构建及基于稳定性和节能的算法设计，并针对这些骨干网提出相应的分层路由机制，主要研究内容和贡献如下：考虑到主机的功率大小和在线时间长短对虚拟骨干中心的相对稳固性的影响，提出用基于极大权的最小连通支配集模拟虚拟骨干网；并给出其数学模型和相应的启发式算法，确保了性能强的主机担任骨干节点；通过优化规则确保骨干网的极小性，有效地减小了控制分组转发开销；最后进行了仿真验证。

Objective Focusing on minimality of dynamical systems,equivalent descriptions of minimality of some special systems are given.

目的主要对动力系统的极小性进行研究，针对几种特殊的系统给出该系统为极小的等价描述。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章，讨论了一阶奇异系统的因子分解和级联分解，给出了其具有上述分解的充要条件，证明了极小性在分解下的不变性；对具有一阶奇异系统实现的有理函数矩阵，给出了判定其为正实函数的充要条件，推广了著名的正实引理。

By means of moving frame, some properties of ruled surfaces are obtained, including the surfaces being minimal, totally geodesic, totally developableand totally umbilical. Some equivalent conditions in which the ruled surfaces are totally developable are obtained. It is abtained that (k+1)-dimensional ruled surfaces are totally geodesic if and only if they are minimal and totally developable.

利用活动标架法研究了直纹面的一些性质，包括极小性，全可展性，全测地性和全脐性，给出了直纹面是全可展性的一组充要条件，同时得到，R(上标 n+1 下标 v)中的k+1维直纹面M是全测地的充要条件是它是极小的且全可展的。

RESULTS: The results showed that the water extract of phellodendron and one of its main components increased the cell membrane fluidity in the inactive state, but the other two components, berberine and jatrorrhizine, decreased the cell membrane fluidity.

结果：在无ConA刺激时，黄柏的水提物可提高小鼠脾细胞膜的流动性，6.25%的浓度与对照组相比有极显著性差异；小檗碱与药根碱可降低脾细胞膜的流动性，与对照组相比均有显著性差异；巴马汀可提高脾细胞膜的流动性，与对照组相比有极显著性差异。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。