局部的

In this paper, the imprecise proofs existing in some literatures are firstly pointed out. Then, the local convergence is proved in a new way and the condition of convergence to the local maximum point is offered. Finally, the geometrical counterexamples are provided for explanation about convergence of Mean Shift and the conclusion is further discussed.

首先指出了Comaniciu和李乡儒的证明过程存在错误；然后，从数学上重新证明了Mean Shift算法的局部收敛性，并指出其收敛到局部极大值的条件；最后，从几何上举反例分析了Mean Shift的收敛性，并进行了深入比较和讨论。

The experiment results prove that the way with regularization technology is better than the way without regularization technology. In order to overcome the limitation of the regularization method, chapter 6 builds an irregular MRF model suitable for the motion estimation of feature point based on MAP-MRF frame. The energy function, which can reflect the joint probability distribution of motion parameters and the constraints relation of local 3D motion parameters, is established in irregular MRF.

为了解决正则化方法只能分析非刚体局部三维运动的缺点，第6章在基于MAP-MRF的分析框架中建立了与特征点运动估计相对应的非规则MRF模型，构造了非规则MRF模型中反映非刚体局部三维运动参数之间约束关系和运动参数联合概率分布的能量函数，通过能量函数最小化估计运动参数。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Banach－Mackey空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。

Genetic Algorithm based methods can get rid of the problem of local optima, but they are not very effective to refine an existent good solution.

基于遗传算法的训练方法能够摆脱陷入局部最优的困扰，但遗传算法的局部搜索能力不够，从而影响网络的训练效果。

Under the condition in which out-of-stock isn't permitted, partial elasticityof total cost related to purchase quantity and period is studied.

提出随机局部弹性的概念，讨论了相应的运算法则，研究了不允许缺货的存贮模型中，总费用对采购量与采购周期的局部弹性。

First,the BP neural network to carry on the partial diagnosis to the fault information is used,then the fusion using the D-S evidence theory to the partial diagnosis result is carried on,and the final fault result is obtained.The introduction of D-S evidence theory increases the diagnosis result reliability and the accuracy,enhances the diagnosis algorithm compatibility.

首先用BP神经网络对故障信息进行局部诊断，然后利用D-S证据理论对局部诊断结果进行融合，进行全局诊断，得到最终的故障结果。D-S证据理论的引入，增大了诊断结果的可靠性和准确性，提高了诊断算法的适应性。

Together with some basic knowledge of Linear Algebra, we prove that there exists a polynomial time algorithm for finding the shortest contractible cycle in an locally LEW-embedded graph. 3. By some results of Minor Theorem, we prove the crossing numbers of some circular graphs C(10,4), C(9,3), C(8,3) on the projective plane.

利用C.Thomassen在大边宽嵌入方面的工作，得到了局部大边宽嵌入图的一些性质，再利用线性代数的知识，证明了在局部大边宽条件下存在多项式时间算法可以找到一个图的最短可收缩圈。

Four kinds algorithms are proposed for STPR according to the needs of practice, their propertied are:①the feedfoward network with local feedback has feedback mechanism, it can be applied to identify process with dynamics outputs and static outputs, it can deal with complex process.

2提出四种识别STPR问题的新算法①带有局部反馈环节的前向网络具有局部隐层反馈环节，可同时考虑具有动态输出与静态输出的实际系统的辨识。网络适宜于处理复杂实际过程。

The ground acceleration, velocity and displacement were obtained by numerical calculations. On the basis of the modeling the effects of the following factors on the ground motion have been studied: the pure strike-ship fault and the complex strike-slip fault with normal component, the instaneously rupturing fault and the fanlt of rupture propagating in a limit velocity, the fanlt with local high stress drop or local barrier.

在模拟计算中，用比较方式研究了下列断层复杂性因素对地面运动的影响：单纯走滑断层与具有正断层运动分量的复合走滑断层，瞬时破裂断层与以有限速度扩展的断层，局部高应力降以及含局部障碍的断层。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新