外代数

By TM images the linear structures, water system, the outer edge of Tianchi Volcano trachite are extracted. By the sensitivity of SAR images to geomorphology, the distribution of parasitical volcano cone and lava fornix around Tianchi volcano are interpreted. With the aerial photos the parasitical lava of Qixiangzhan, Baiyun and Bingchang stage are filtered. At the same time by orthogonal cross-course wavelet transform, texture analysis is carried on to ERS-2 SAR images, and the texture characters are filtered. On the basis of the spectrum character of multi-band of TM images, multi-band algebraic grouping is made, and the factor of texture character factor and band grouping of TM images are input to BP neural network classification model. The good classified results are received.

利用TM图像对线性构造、水系、天池火山粗面岩锥体外边缘的提取；利用SAR图像对地形敏感特性，提取了天池火山周围寄生火山锥体及熔岩穹丘的分布；利用航片对天池火山口周围的气象站期、白云期、冰场期等寄生喷发物进行了提取：同时利用正交小波变换对ERS-2 SAR图像进行了纹理分析，提取了纹理特征：根据TM图像不同波段的光谱特征，进行了波段代数组合，并把纹理特征参数与TM图像的波段组合及DEM一起输入BP神经元网络分类器，取得了较好的分类效果。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

After introducing the basic knowledge of geometric algebra such as outer product,inner product and geometric product,this paper focused on the CGA description and computation with graphic reflection,rotation,translation,rigid body motion and screw motion,and gave the experimental demonstrations.

在简单介绍外积、内积和几何积等基本概念之后，重点论述了共形几何代数在图形反射、旋转、平移等变换和刚体运动、螺旋运动等方面的描述和计算方法，并给出了实验示例。

Vector to raster: Inside point diffuse method, diffuse from internal seeds within polygon to neighbor points, as far as to the boundary of polygon; Pluralism integral arithmetic, according to the close boundary of polygon, makes uncertain point calculate pluralism integral; Radial and scanning arithmetic, from a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which recorded topological relationship.

矢量转栅格：内部点扩散法，即由多边形内部种子点向周围邻点扩散，直至到达各边界为止；复数积分算法，即由待判别点对多边形的封闭边界计算复数积分，来判断两者关系；射线算法和扫描算法，即由图外某点向待判点引射线，通过射线与多边形边界交点数来判断内外关系；边界代数算法，是一种基于积分思想的矢量转栅格算法，适合于记

Research on fast algorithm of point inclusion query. From the point of view of computational geometry, winding number is extended from close curve to line segment, polygon, 2-dimensional object, plane subdivision, polyhedra, 3-dimensional object and 3D subdivision.

7，研究点查询的快速算法，从计算几何的角度将环绕系数扩展到一个除闭合曲线外的线段，多边形，二维对象，平面分割，多面体，三维对象，三维空间分割等，进而构造出各种情况下的点查询代数算法。

In order to obtain the rigorous solutions, we often use the algebraical Bethe ansatz method to solve these models.

在求解模型的过程中除了解析Bethe ansatz方法外，最常用的方法就是代数Bethe ansatz方法，这种方法可以严格地给出模型哈密顿量的本征值和相应的Bethe ansatz方程。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。