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Besides coccoid of Hp transformations, curve-bacilliform, long-bacilliform, short bacilliform, long threadlike, giant coccoid, glomerule, trophoplast, and very small "s" or "c" shaped Hp were found.

并根据Hp形态变化的顺序及表型，初步发现Hp由典型"S"或多螺旋形态变为杆状弯曲、长杆状、短杆状、然后变为球形、长丝体、巨球体、丝球体、原生质体的规律。

Based on projective geometry,the research works about 3D invariances extraction and application have been done in this thesis as following:(1) The basic theories and concepts in projective geometry are systematically summarized. It includes:the camera models of perspective imaging,projective collineation,cross ratio,a simple compare about invariance among some geometry transformations,fundamental matrix,epipolar and epipolar line in epipolar geometry,and so on.

基于射影几何理论，论文围绕3D不变特征的提取和应用进行了如下的研究工作：(1)系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

Based on projective geometry, the research works about 3D invariance's extractionand application have been done in this thesis as following:(1) The basic theories andconcepts in projective geometry are systematically summarized. It includes: the cameramodels of perspective imaging, projective collineation, cross ratio, a simple compare aboutinvariance among some geometry transformations, fundamental matrix, epipolarand epipolar line in epipolar geometry, and so on.

基于射影几何理论，论文围绕3D不变特征的提取和应用进行了如下的研究工作：(1)系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

Personality is perhaps essential to many artists; however to ADO, it is less important in a team work practice. They prefer collaboration to individualism. A response to surroundings is more crucial than a domination of the entire environment. Having a complementary view to space, ADO considers art as transformations without damaging existing elements or characteristics of a particular place.

个人色彩对许多艺术家来说非常重要，然而，对於ADO他们，创作并非单求强调个人，他们重视群体合作和配合，不喜欢以纯粹感性作为创作手段；个人色彩固然是每件艺术品的灵魂，以公共艺术而言，更重要是创作人对环境的回应，如何以不破坏原有结构的原则下，对空间再创造，因此，他们对整体性的追求，不祗限於群体合作，亦显示於其艺术个体与整体环境的互补融合，这点表明了他们从「补足」的意念来看公共艺术。

Utilizing the symmetric property of the hyperbolic complex space-time, we may explain the correspondence relations of time inversions, energy inversions and complex conjugate transformations.

利用双曲复时空间的对称性，可以解释时间反演、能量反演与复共轭变换的对应关系，能够找出正、反粒子的时空对应点。

In this paper a method of automatic mesh generation of triangular element is presented by using subdomain structure and isoparametric coordinate transformations for two-dimensional complex connected domain with multidielectric.

本文采用子区域结构，等参坐标变换方法，对具有多种介质的二维复连通区域，给出一种三角形单元的网格自动剖分方法。

A logicaldomain is used as a reference and the mesh movingis implemented according to an appropriate domain transformation.With sometraditional moving mesh methods,the meshes in physical domain may be tangled.To avoid this,the transformations are constructed based on harmonic mapping.Agood feature of the adaptive methods based on harmonic mapping is that existence,uniqueness and non-singularity for the continuous map can be guaranteed fromthe theory of harmonic maps.

在移动网格方法中，需要引进一个逻辑区域作为参考，网格的移动往往通过一个区域变换来实现，网格可能发生缠绕的问题是移动网格方法中一个一直没有解决的问题，我们利用调和映射来构造区域间的变换，使得变换的存在唯一生有了理论的保证，这就为避免网格缠绕打下了基础。

Principal component transformations and genetic distance estimations were made from the genetic correlation matrix of 9 characters.

利用多元统计方法对50个草莓品种进行了主成分分析，测定了品种间的遗传距离并加以聚类。

First, according to a phase matching condition of electromagnetic wave on the stationary boundary surface, we find the refelection and transimission angles in the front system with a static ionization front. Then using the transformations of wave vector and frequency we get the corresponding angles in the laboratory system in which the ionization front is moving at relativistic speed.

首先在波面参考系中根据电磁波在固定边界上的相位匹配条件，确定电磁波在静止电离波面上的反射角和透射角，并利用波矢和频率的相对论变换，导出了在实验室参考系中相应的反射角和透射角的表达式，最后对所得的结果作了进一步的讨论。

Cross ratio is an essential invariant related to projective transformations,and discovering intrinsic properties of scene by using invariance of cross ratio computation is one of the hotspots in computer vision fields.

1引言交比是一个和射影变换有关的一个基本不变量，它的透视不变性已经引起了计算机视觉研究人员的重视，人们利用它从透视图像中进行物体识别[1][2]。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。