相似变换

The fundamental compute region B is determined and self-similarly mapped into the upper half plane by using the homeomorphic affine transformationθ, so the fractal images of the upper half plane, square limit, and circle limit can be constructed.

周期化动力平面或参数平面，确定基本计算区域，应用同胚仿射变换将基本计算区域自相似地映射到上半平面，进而构造方极限和圆极限分形图。

We have successfully synthesized hydrocarbonbearing inclusions in carbonate at the temperature and pressure of 150 ℃ and 40 MPa, which are near the condition of natural reservoir underground 4 kmAll synthetic hydrocarbonbearing inclusions have been analyzed by microscope and microfluorescence and fourier transform infrared spectroscopyThe results show that the synthesized hydrocarbonbearing inclusions are very similar to those in real reservoirsOur experiments give us four important insights, including:(1) immiscibility of oil and water is the main reason for hydrocarbonbearing inclusions and aqueous inclusions distributed in different fractures;(2) rapid accumulation of oil and gas can be recorded by fluid inclusions;(3) the study of synthetic hydrocarbonbearing inclusions at the temperature and pressure of real reservoir will offer references and standards for the analysis of fluid inclusions in reservoirs;(4) experiment of synthetic hydrocarbonbearing inclusions is a good method for understanding the mechanism of oilwaterrocks interreaction in reservoirs.

文中报道在实际储层温压条件下(150 ℃，40 MPa，大约4 km深度)成功合成了碳酸盐岩烃类包裹体。通过对合成烃类包裹体的显微观察、荧光分析和傅里叶变换红外光谱分析，证实合成了烃类包裹体，且与真实储层中的包裹体具有相似特征，探讨了油水不混溶条件下的流体包裹体捕获机制。实验研究给出4点重要启示：(1)油水不混溶是造成烃类包裹体和水溶液包裹体分带的主要原因；(2)油气快速成藏过程可以被流体包裹体记录；(3)实际储层温压条件下，合成烃类包裹体实验研究有望为储层包裹体分析提供依据和标准；(4)人工合成烃类包裹体为研究含油气条件下储层水岩作用机理提供了一种有效手段。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

A real-time method of projective transformation (with less than 1 ms of parameter processing) and an auto-calibration method for camera's main pose (with the time cost less than 0.5 s) were presented.

试验和相应的误差分析结果令人满意（160×120显示分辨率下，能在55 ms内自主做出经透视投影变换的作业机理想移动方向决策，普通难度的相似颜色序列图像的分割误差被控制在了平均5%以内）。

Heat transfer and velocity distribution in the flow of a cold,two-dimensional vertical liquid jet against an isothermal hot,horizontal plate were studied,by using similarity transformation and Crocco transformation.

研究了二维冷液体射流垂直冲击一个恒温热平面时，射流沿平面的热量传输和速度分布。通过对Crocco变换加以推广，求得了问题的相似解，揭示了速度梯度，温度分布和剪切力之间的关系。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

The author also investigates Geo~coordinate transformation and similitude/affine transformation. Having accomplished the design of functions of spatial reference system, the author defines and designs the interfaces, component classes and then implements the component framework.

研究了关于大地坐标系转换和平面坐标的相似和仿射变换理论，在完成空间参照系统的功能设计的基础上，定义了空间参照系统的接口和组件对象，并设计和实现了这一系统。

A new basic subsequence similarity search algorithm based on dynamic programming is proposed.

根据本文给出的小波变换的下界，相对于传统的算法，可以排除更多的不相似序列。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现，利用水平梯度的复组合，即复数表示后，扰动重力场元复组合之间的协方差函数尽管还是各向异性，但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构，因而水平分量复组合的配置问题与重力异常的配置问题相似，可以利用傅立叶变换矩阵进行降阶处理。

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