椭圆率

The thesis is organized as follows:In Chapter 1,a new partial differential equation model for Spontaneous Potential log in heterogeneous formations is introduced.At the same time,the existence and uniqueness of weak solution to the problem are proved,and the problem of resistance identification in SP log is studied.Furthermore,a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic interface problems.The effects of various factors on SP response,which include objective layers resistivity,bed thickness,bore-hole diameter,invasion and water-flooded zones and so on,are investigated quantitatively by the proposed method, and satisfactory results are obtained.

具体安排如下：第一章首先建立复杂地层中自然电位测井的偏微分方程数学模型，证明了该边值问题弱解的存在唯一性，在此基础上研究了自然电位测井电阻率识别问题：然后发展了用于求解椭圆交界面问题的间断捕捉有限差分方法，利用该方法定量分析了目的层电阻率、地层厚度、井径、侵入带和水淹层等因素对自然电位测井响应的影响，取得了满意的结果。

Second, we consider the strongly coupled elliptic system with homogeneous Dirichlet boundary conditions. The prior estimates for thesolution of nonlinear elliptic system are derived. It is shown that there is no coexistence state if diffusion rates are strong, or if the intrinsic growth rates are slow.

第二章研究带齐次Dirichlet边界条件的强耦合椭圆系统，首先推出非线性椭圆系统解的先验估计，然后证明了当食饵和捕食者的扩散率足够大，或者出生率足够小时，系统不存在共存现象，并给出半平凡解存在的充分条件。

The pressure equation for the liquid phase is obtained as, which is a no-linear elliptic partial differential equation.

推导了喂料熔体流导率的计算公式，得出压力场的控制方程是一非线性椭圆偏微分方程。

And motivated by many important applications,especially by re-sistivity well-logging in petroleum exploitation,Li Ta-tsien constructed the correspondingboundary value problems with equivalued surface of elliptic equations.

他们基于某些重要的实际应用，建立相应的椭圆型等值面边值问题，尤其是在石油开发中，电阻率测井方面的应用。

The results of the experiment agree with the theory.TEM00 mode output in which the ellipticity is 0.98 and M2 is 1.01 was obtained.

利用实验结果指导腔调节，可使泵浦光轴线与几何腔轴精确重合，获得了椭圆率为0.98、M2因子为1.01的基模输出。

The feed radiation angle, both in horizontal and in vertical plane has to be the same, regardless the ellipticity of offset parabola.

馈源的方向角在水平和垂直都应当相同。而不管偏馈抛物面的椭圆率如何。

In contrast, the increases of the ellipticity of outgoing optical waves are obvious with the raise of Faraday rotation in non-fourfold-symmetry structures.

结果表明：在这些结构中，光波均被局域在中心缺陷处；同时，对于具有四重对称轴结构的材料，在其法拉第旋转角增加的同时，出射光波的椭圆率没有明显的增加；但对于不具有四重对称轴结构的材料，其法拉第旋转角增加的同时，出射光波的椭圆率也在增加。

In this chapter, three kinds of target recognition methods are performed, which are:①Target recognition method based on the description of polarization parameter plane. The echo polarization states of target are projected onto the polarization state plane described by the ellipticity ε and the tilt angle τ of the polarization ellipse, the change of parameter following ferquency becomes the chart. According to the changing trait of the chart, the multidimensional polarization feature space of target has been contructed. Furthermore, a series of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.②Target recognition method based on the description of Poincare polarization sphere. The echo polarization states of target expressed by Stokes vector are projected onto the Poincare polarization sphere. The conception of polarization ferquency stability, which is used in describing the dynamic distribution characteristics of the target echo polarization states on Poincare polarization sphere, has been defined. A group of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.③Target recognition method based on the description of frequency sensitivity. In accordance with the conception of the polarization state distance defined on Poincare polarization sphere, the frequency sensibility of the physical structure property of target has been investigated, the frequency distribution feature curves in PSD domain are obtained, and targets'features are extracted by means of the curve-fitting method with Least Square Criterion.

这章具体研究了基于三种极化散射特性描述的相应的目标识别方法：①基于极化参数平面描述的目标识别方法，将目标回波极化状态投影到以极化椭圆参数，即椭圆率角ε和倾角τ表征的极化状态平面上，参数随观测频率的变化就形成了图，根据图的变化特点构造了目标的多维极化特征空间，并提取了不敏感目标姿态变化的极化特征参数组来设计目标的识别器结构；②基于Poincare极化球面描述的目标识别方法，采用Stokes矢量表征目标回波的极化状态，并将其投影到描述极化状态的Poincare极化球面上，定义了极化频率稳定度的概念用以刻画目标回波极化状态在Poincare极化球面上的动态分布信息，提取了准方位不变性的目标极化特征，最后设计了目标的识别器结构；③基于频率敏感性描述的目标识别方法，通过在Poincare极化球面上所定义的极化状态距离的概念，研究的是复杂目标物理结构特性对探测信号频率的敏感程度问题，获得了在极化状态距离下的频率分布特性曲线，采用最小二乘估计曲线拟合方法，它既用于极化特征的降维，同时又直接将拟合参数作为目标的分类特征。

Experiment and data analysis illustrate that, with the image resolution being 600dpi, the seed can be separated firstly if only solidity and area are 0.95 and 7000 pixels respectively, then the peduncle can be separated with the eccentricity being 0.9, the fruit coat closing and seedcase can be separated finally if the solidity and eccentricity are 0.8964 and 0.5072 respectively.

试验和数据分析表明，图像分辨率为600dpi时，取凹性率0.95、面积值7000像素可先分离出椒籽，再取椭圆度0.9能分离出果穗梗，最后取凹性率0.8964、椭圆度0.5072能有效区分余下的闭眼和果皮。

Don.methodswith the stem of sterile seedling and fresh plants as exophyte, ms as a basic medium, 6-ba and naa hormone were adopted as the experimental variables.resultsms +1.0 mg / l 6-ba +1.0 mg / l naa induced the best effect of callus; higher concentrations of 6-ba with high concentrations of naa made callus densification and higher rate.conclusion different plant hormones and their different concentration ratios have different effects on the callus of halenia elliptica d.

方法以椭圆叶花锚种子培养的无菌苗的茎和新鲜植株的茎段为外殖体，ms为基本培养基，分别以6-ba和naa两种植物激素为变量进行实验研究。结果ms培养基+1.0 mg/l 6-ba+1.0 mg/l naa对诱导椭圆叶花锚愈伤组织的形成效果最佳；高浓度的6-ba配合较高浓度的naa诱导的愈伤组织致密，出愈率高。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。