局部的

Given a finite training sample set, according to the proposal of establishing a Local Most Entropy probability density function to estimate the number of cluster a method for estimating 〓 is proposed, where a complicated method based on Maximum Likelihood Cross-Validation is replaced by Chebyshev inequality.

为改善BP算法的收敛速度慢、易陷入局部最小的问题，提出了带一类非线性特性动量项的变步长BP算法，构造了一个能自适应升降温的动量项非线性强度函数，在编程中又采用了有条件引入非线性特性动量项的措施，大大提高了搜索过程跳出局部极小、快速稳定收敛的能力。

First,image structure vector field is derived from source luminance orthonormal vector sets. Andusing neighbor vectors to improve the weak gradient fields produces the structure vectorfield that is needed by LIC rendering. Then, LIC convolution step-length is adjustedaccording to local curvature in the structure vector field. LIC convolution length iscalculated according to the local statistical characteristics of the texture image. Finally, thealgorithm transfers the reference image\'s color characteristics to the rendering result tomake it full of rich color like oil paintings.

该算法通过计算源图像亮度分量的切矢量产生图像的结构矢量场，并对弱矢量区域进行邻域填充处理，获得LIC绘制所需的结构矢量场；然后，根据结构矢量场的局部曲率特征调整LIC的积分步长，并根据纹理参考图像的局部统计特征，自适应地改变LIC的积分长度；最后，将颜色传输算法引入LIC绘制结果，对绘制效果颜色进行渲染。

Through the studies on the local geometrical features of Tripod Operator, an approach for 3-D surface discontinuous detection is proposed at first. A Tripod Operator based description approach for free-form 3-D surface is then investigated.

并根据Tripod算子所具有的与模型无关的局部几何特性，提出一种基于Tripod算子的任意型表面整体描述方法，利用Tripod算子提取的局部特征在整个三维表面的统计特性，对三维表面进行更为简洁、准确的整体描述。

If there exists no regular quasi-attractor, the stochastic web, which is formed by the end-results of the image set of the discontinuous border and immersed in a part of the phase space, dominates the system behavior so that iterations are confined inside a part of the phase space in a"chaotic quasi-attractor"(Our research group has discovered the situation where regular and chaotic quasi-attractors coexist in a quasi-dissipative system, but this thesis will not mention it).

当类耗散系统的相空间不存在任何规则类吸引子时，这种由边界象集的归宿构成、浸入局部相空间的随机网将主宰系统，从而出现约束在局部相空间中的"混沌类吸引子"上的运动（本课题组已发现类耗散系统中规则类吸引子与混沌类吸引子共存的情况，本文未作报道）。

Firstly, the equivalency of case deletion model and mean-shift outlier model is investigated; and several diagnostic measures, such as Cook distance, generalized leverage, residuals, and likelihood ratio statistics et al., are obtained. Secondly, we investigate the local influence for the models, several commonly-used perturbed models are studied, and the close forms of influence matrices are obtained. At last, a real example illustrates that our method is available.

首先，证明了均值漂移模型与删除模型的等价性，并得到了残差、Cook距离，似然比统计量等诊断统计量；其次研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；并分别对常见的扰动模型进行分析，得到了计算影响矩阵的简洁公式；然后，通过实例验证了方法的可行性。

The basic diagnostic statistics such as Cook distance, generalized leverage and residuals et al. are introduced, and the equivalency of case deletion model and mean-shift outlier model is investigated. Some specific problems, such as local influence analysis and the test for heteroscedasticity are discussed. Finally, numerical examples are given to illustrate our diagnostic methods.

首先，证明了均值漂移模型与数据点删除模型的等价性定理并定义了残差、Cook距离等诊断统计量；其次，研究了异常点的Score检验统计量；第三，研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；第四，研究了该模型的异方差检验问题，得到了检验异方差的Score检验统计量和修正的Score检验统计量；最后，通过实例分析验证了这些诊断方法的有效性。

This paper deals with global existence and blow-up profiles for the solutions of some classes of reaction-di...

本文讨论几类反应扩散方程解的定性性质：具有局部源的初值问题和具有非局部源的初边值问题解的整体存在性和有限时刻爆破的条件，同时爆破，爆破集，爆破解的爆破率、渐近行为等。

The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。

Then, the system is linearized by variational approach, the local null controllability is proved by applying a generalized implicit function theorem and combining the good property of the solution mapping.

首先通过对系统线性化，构造泛函，利用对偶方程，给出控制函数具体形式的办法得到系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射好的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后利用局部零能控性和逼近能控性结合给出系统零能控的结论。

Secondly, the interphase layer is homogenized as a micropolar material model, and the analytical expressions for the local stress and couple stress and their corresponding average are derived for a coated fiber embedded in an infinite matrix under remote classical loading. This exact relation is compared with that determined through an approximate average equivalent inclusion method , and results show that the AEIM has good accuracy to be applied to evaluate the effective property.

就有效性质而言，对于所考察的硬界面复合材料来说均匀界面层的估计要高于非均匀界面层，但两者相差不大；对局部应力分布的预测，均匀界面层与非均匀界面层有较大差别，这说明对于与局部应力密切相关的损伤现象的预测，考虑非均匀界面层是十分必要的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。