奇异分布

Then by matching the traction along the branches and the boundary of the strip, Cauchy singular equations were obtained, in which the point dislocation and the distributed dislocation density served as the unknown function.

根据板条边界和裂纹面上的应力边界条件，建立以集中位错强度和分布位错密度为未知函数的Cauchy型奇异积分方程，利用半开型积分法则将该奇异积分方程化为代数方程求解。

A new concept on the continuously distributed directional image/field and the method to compute it in the fingerprint images are proposed,which exhibits not only good continuity,well gradualness,and excellent robustness to the noises,but very high precision,as well.

本文提出了指纹连续分布方向图的概念及其算法，连续分布方向图具有很好的连续性、渐变性、抗噪性和较高的精确度；对经典的PoincaréIndex计算公式和指纹奇异点检测算法进行了改进，改进后的PoincaréIndex不仅能精确表示向量场的旋转角度，而且还能精确表示向量场的旋转方向，能够在像素级水平精确定位指纹奇异点(core点和delta点)。

The phase anomaly zones are investigated on the basis of the integral theorem of Helmholtz and Kirchhoff in terms of the Kirchhoff′s boundary conditions and the physical meaning of the integral for the diverging and converging spherical waves.

从波动方程出发，在基尔霍夫边界条件下，根据积分的物理意义，简明地研究了发散和汇聚球面波的相奇异区域分布。结果表明，除了汇聚的球面波焦点区域存在相奇异现象外，焦点以外的区域及对发散的球面波同样存在相奇异现象。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principalcomponentanalysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used. A PCA-based method is used to analyze the distribution of Gaussian-Hermite of fingerprint image.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principal component analysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In chapter 3, prediction theory of time series is reviewed, then non-linear autoregressive model of time series-feedforward neural networks is presented, at the same time a new method-SVD is proposed to design the architecture of feedforward neural networks. By using a trained network with a sufficient number of hidden nodes, according to the distribution of singular values of hidden nodes outputs, we can decide the optimum number of hidden nodes, then the reduced network will be retrained.

第三章：先回顾了时间序列的预测理论，提出了时间序列的非线性自回归模型-前馈神经网络模型，并提出了一种设计前馈神经网络的新方法-奇异值分解法，初始网络结构足够大，网络训练后，对网络隐层节点输出所形成的矩阵作奇异值分解，根据奇异值分布情况，决定网络隐层节点的个数，优化后的网络重新开始训练。

Under small-scale yield condition, the stress distribution outside the yield zone is similar to singular stress distribution without considering the plastic yield. So the elastic singular stress field can be used to narrate the elasto-plastic stree field approximately under small scale yield condition, but the stress intensity coefficient is larger that the elastic one, moreover, it increases as the hardening coefficient decreases.

在小规模屈服条件下，屈服区域外的弹性应力分布与不考虑塑性屈服的弹性奇异应力分布相似(即奇异次数与弹性奇异次数一致)，即可用弹性奇异应力场来近似地描述小规模屈服时的弹塑性界面端，但应力强度系数则比弹性时略大，且随硬化系数的减小而增大。

It is concluded that m = 2 tearing mode is produced by the current gradient. Ifoptimized current gradients are retained in the vicinity of q = 2 singular surface, the disruption can be avoided. There is no need to select current density profile on the whole plasma section.

结果表明这种不稳定性由q=2奇异面附近电流梯度的增大引起，因此只要在奇异面附近保持适当的电流梯度就可避免破裂发生，即对电流分布实行局部控制就可实现对破裂的抑制，并不需要去选取某种特定的整体分布。

The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen.

在重力波的传播过程中，氢氧大气成分的水平和垂直分布均受到了不同程度的影响，以氧原子的响应最为明显，而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现；另外，分析显示，重力波的非线性传播对OH气辉的峰值分布由明显影响，小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布，重力波的破碎现象也可以从对气辉的观测中反映应出来，这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

The breaking of gravity wave accelerates the downward transport of atomic oxygen, some smaller-scale structures appear on the horizontal distribution of atomic oxygen number density , and other chemical species are also affected due to the chemical reaction with atomic oxygen and the propagation of gravity wave. The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen. The nonlinear propagation of smaller vertical wavelength gravity waves can induce the double-peaked structure in the OH airglow. The results can explanation some sporadic measurements of OH airglow and can provide a good indication for studying the characteristic of nonlinear gravity wave by using OH airglow measurement.

在重力波的传播过程中，氢氧大气成分的水平和垂直分布均受到了不同程度的影响，以氧原子的响应最为明显，而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现；另外，分析显示，重力波的非线性传播对OH气辉的峰值分布由明显影响，小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布，重力波的破碎现象也可以从对气辉的观测中反映应出来，这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。