极小

So for block transitive 2-(υ, 5, 1) designs, we need to study the case in which the given block transitive group of automorphisms is unsolvable.

在[49]中，极小反例的方法起到重要的作用，但对于非可解的区传递2-（υ，5，1）设计，极小反例的方法是无效的。

In this thesis, we mainly study the relations between compact minimal hypersurfaces of S~(n+1)(1) and the Clifford minimal hypersurface of S~(n+1)(1) by their spectrums, and the relations between unit tangent sphere bundle T_1 M and its base manifold M.

在本文中，我们主要通过谱研究了S~(n+1)(1)中的紧致极小超曲面和S~(n+1)(1)中的Clifford极小超曲面之间的关系，以及单位切球丛T_1M与它的底流形M之间的关系。

Under suitable hypotheses,the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem.

在适当的假设下，给出了原约束问题的局部极小点与增广Lagrange函数，在原问题变量空间上的无约束局部极小点之间的对应关系。

Under suitable assumptions, the relationship is established between the unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the space of problem variables and the solution of the original constrained problem, and a relationship is also presented between the unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers and the solution of the original constrained problem.

在适当的条件下，我们建立了Hestenes-Powell增广拉格朗日函数在原问题变量空间上的无约束极小与原约束问题的解之间的关系，并且也给出了Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上的无约束极小与原约束问题的解之间的一个关系。

Aimed at the characteristic of multiple types of faults possibly happened in nuclear power plant, large scale of training sample, and requirement of quick and accurate diagnosing, after the analysis of large sample number generated by large fault type exceeds limitation of 64K paragraph in DOS and large number of local minmum in error surface, measurements of same format of data file, Win95/NT operating system platform, resetting weight learning rate, dynamic training set in quick learning algorithm and improvement on quick learning algorithm using homotopy method which can avoid local minmum points in error surface have been adopted to ensure quickly and effective process of the course of neural network's training and testing.

针对核动力装置可能发生的故障种类多，训练样本规模大，故障诊断需要快速准确的特点等，分析了样本多和故障种类多产生的训练样本量超出DOS段大小和网络误差曲面上局部极小值多的情况，采取了使用相同格式数据文件、Win95/NT操作系统平台，对快速学习算法采用重置神经网络权值学习率和动态训练集、并采用能够有效克服网络误差曲面上局部极小点的同伦方法对学习算法进行改进等措施保证神经网络训练测试过程的快速、有效地进行；针对装置发生的故障须快速、准确诊断的需要，分析了故障的产生对装置参数变化的影响及操纵员对故障诊断的基础，在核动力装置发生故障时参数曲线的变化量与正常运行时参数曲线的变化量存在明显差异的基础上，提出采用参数曲线的变化量作为神经网络的输入，并围绕参数变化量的方法采用二次曲线拟合滤波求变化量和阈值技术来保证神经网络得到精确的装置参数变化量，从而得到准确的诊断结果。

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。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

To deal with this, a minimal model theory is devel-oped, by which the temporal semantics of MSVL programs is captured.

因此，我们提出了极小模型理论并证明了极小模型的存在性定理。

A fast algorithm for computing the linear complexity and the minimal polynomial of a binary sequence with period 2〓p〓 is proposed, and generalized one for determining the linear complexity of a sequence with period p〓q〓 over GF .

提出确定周期为2〓p〓的二元序列的线性复杂度和极小多项式的一个快速算法，并推广为计算GF上周期为p〓q〓序列的线性复杂度和极小多项式的快速算法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失