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Accoring to the polar theory of conic section, the characteristics of geometrical graphics concerning the conic section is discussed from following three aspects:the conbination of Point and line, harmony of point range and pencil of line , trace of point and enveloping of straight line.

本文根据二次曲线的配极理论,从点、线的结合性,点列和线束的调和性,点的轨迹和直线的包络三方面研究与二次曲线有关的几何图形的性质。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源:3282AB83C论文网www.abclunwen.com),建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理,并在拓扑向量空间中定义了C_x-拟单调算子,引入了闭凸集K的inner点,给出了inner点与相对代数内点的关系,利用innK_c代替K的拓扑内部,建立了新的拟单调向量变分不等式。

And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno alg.

基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法,它采用傅里叶条纹分析方法来求解干涉条纹的相位分布,运用基于BFGS的拟牛顿算法进行三坐标的迭代计算,确定点光源的三维空间坐标。

It is a measurement method following the diffraction and interference theory of the point light source. The phase message of interference pattern was obtained by the Fourier transform pattern analysis method. And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno algorithm.

基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法,它采用傅里叶条纹分析方法来求解干涉条纹的相位分布,运用基于BFGS的拟牛顿算法进行三坐标的迭代计算,确定点光源的三维空间坐标。

Then, the notion of ordered target triangle was defined. It quickly found ordered target triangles and generated the non-ray Voronoi diagram. Considering the characteristics of convex hull, a ray Voronoi diagram was generated by three infinite points.

然后又定义了有序目标三角形的概念,该算法能迅速查找点的有序目标三角形,生成无射线的Voronoi图;考虑凸壳上点的特性,借助三个无穷点生成带射线的Voronoi图。

In this study, genetic analyses were conducted to determine the genetic basis in an elite resistant inbred line Siyi with complete resistance to maize dwarf mosaic. A new genetic model, two dominant complementary genes conditioning the resistance, were found by Mendelian genetic analysis based on parents, F1, F2 and backcrosses in three successive years' field trails. The two genes were further mapped near the centromere of chromosome 3 and 6, respectively by tightly linked microsatellite markers using 242 plants from F2 generation. The resistance gene on chromosome 3 is 1.0 cM apart from the flanking markers phi053 and umc1527, respectively. Whereas the linkage distance between two flanking markers bnlg1600 and phi075 and resistance gene on chromosome 6 was 1.0 and 4.0 cM, respectively. Genotypic analysis of the plants from testcross and F3 populations supported the new genetic manners.

课题组通过连续三年的抗病鉴定,在国内种质资源中筛选出一份综合农艺性状优良、配合力较高的自交系四一,三年的表型遗传研究和两年的分子标记工作,发现四一中的玉米矮花叶病抗性是由两对显性互补基因控制的,进而利用F2作图群体,把发现的两个基因定位在第三和第六染色体的着丝点附近,并获得了双侧紧密连锁的分子标记连锁图谱,其中第三染色体上的分子标记UMC1527和phi053从抗病基因双侧逼近1 cM,而第六染色体上的分子标记phi075、bnlg1600从抗病基因双侧分别逼近4 cM和1 cM;利用B2群体、F2:3家系、BC3F1群体和带有第三、第六染色体抗病基因以及两个抗病基因的近等基因系,进一步证实了四一中成株期抗性是由两个显性互补基因控制的。

This error analysis is divided into three technologies unit: the reading and demonstration of 3-D data format, the pre-conjoining of 3-D graph based on collecting point and the full conjoining of three dimensional graphs based on ICP algorithm, and the obtaining and color display of error value.

该误差分析部分分为三维数据格式的读取和显示、基于拾取点的三维图形的预拼合和基于ICP算法的三维图形的完整拼合、误差值的求取和误差值的彩色显示三个技术单元。

Firstly, controlling points are added according to plotting rule and irregular points linked with smooth curve. Secondly, to catch equivalent points, the method of scanning in three quadrants is put forward.

一是利用成图规则构造顶点绘制不规则点的平滑曲线;二是采用&三象限扫描法&追踪网格各等值点。

In Chapter 2, we study the existence of positive solutions for two-point and three-point boundary value problems of nonlinear differential equations.

第一节,运用锥拉伸与锥压缩不动点定理研究二阶三点边值问题正解的存在性。

First a triangle mesh is used to track the image edge orientation in every local area, all mesh grids is set as close as possible to edge, then image is warped according to the position of these mesh grids. After warping, all edge orientations are almost near to one of the three preferred orientations. The subjective quality of reconstructed image is improved while objective quality is almost the same.

首先利用三角形网格对图像进行边缘特征跟踪,使网格点跟踪最近的边缘特征点,然后根据网格点的位置使图像产生形变,使原图像中的边缘方向分别大致变成水平、竖直或对角方向,以适应只具有这三个方向高通的滤波器。

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