几何的

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

Then, according to research on nonisotropic transformation in geometric attack, this *** further spreads the application field of scale-space theory in watermark design and proposes an algorithm against geometric attack grounded on affine invariant feature point.

然后，通过对几何攻击中的非同向性变换的研讨，入一步扩铺尺度空间理论在水印设计中的应用，提出一种基于仿射不变特性点的抗几何攻击算法。

By using an empirical potential of free energy on dsDNA which was obtained experimentally by Strey, a relation between total energy of chip and some factors, such as nanogeometric, physical. chemical characteristics of DNA, geometric dimension, macroscopical mechanical properties of chip, etc was formulated under the consideration of mechanical energy of microcantilever beam, electrostatic energy, configuration entropy, and osmotic energy of gene-layer.

首先，在考虑微悬臂梁机械能和基因层静电能、构型熵、渗透能的情况下，借助Strey通过实验得到的双链DNA自由能的经验势，建立了DNA纳观几何、物理、化学特征以及芯片几何尺寸、宏观力学性能等因素与基因芯片总能量之间的关系。

The IgE levels in other groups, in decreasing order, were 517 IU/ml for ascariasis, 514IU/ml for mixed enterobiasis and hookworm infection, 495 IU/ml for mixed ascariasis and enterobiasis, 450IU/ml for trichuriasis, 336IU/ml for mixed trichuriasis and enterobiasis, and 330 IU/ml for enterobiasis.

所有的感染羣中以钩虫感染羣的IgE值最高，其算术平均值1，298IU/ml，是正常对照羣的11.6倍，几何平均值为578IU/ml，其他感染羣IgE的几何平均值，依值的高低顺序是蛔虫单独(517IU/ml)，钧虫与蛲虫混合(514IU/ml)，蛔虫与蛲虫混合(495IU/ml)，鞭虫单独(450IU/ml)，鞭虫与蛲虫混合(336IU/ml)，蛲虫单独(330IU/ml)等感染羣。

The unsmoothed characteristics of some living beings in soil have wear reduction and wear resistance function . The research benefits the revelation that a tungsten carbide reinforced Cu-base alloy wear-resistant composite coating was produced on mild steel by spark plasma sintering.Under the condition of two bodies abrasive wear ,the coating with the structure that hight hardness and good wear resistance WC particles embedding in tough fine Cu-base alloy matrix resist the abrasion wear and manifest the good wear reduction and wear resistance properties that the unsmoothed bodysurface of some living beings in soil have.

本研究受到某些土壤动物体表非光滑几何特征具有减磨、耐磨特性的启示，应用放电等离子烧结工艺，选取具有优良塑性的Cu基合金作为复合层基体，硬质点WC颗粒作为增强相，在碳钢表面形成WC\ Cu基合金耐磨复合层，在两体静载荷磨粒磨损条件下，高硬度、耐磨WC颗粒镶嵌在高塑性的Cu基合金基体中，共同抵抗磨粒的磨削，表现出某些土壤动物体表非光滑几何特征所具备的优良减磨、耐磨特性。

When the skeleton deforms your geometry as much as it does here, it is very important that the geometry is in the exact same position it was before you bound it when you go to create your morph targets.

当你的骨骼变形尽可能它在这里，这是非常重要的几何形状完全相同的立场，这是它之前，你一定当你去创建自己的目标是几何变形。

A simpler calulation is given by using the definition of the geometry structure factor, furthermore, the law of extinction when diffracting is summarized.

利用几何结构因子的定义，研究复式晶格的几何结构因子的更为简单的求法并总结其衍射时的消光规

The main content reads as follows: Chapter 1 gives a survey on the three methods by which regular geometric modeling can be rended, including parametric curves/surfaces modeling method, algebraic curves/surfaces modeling method and subdivision. Moreover we introduce in greater detail about two means for subdivision which fit into two class: geometric subdivision and algebraic subdivision.

全文主要内容如下：第一章首先对CAGD中构造&规则几何形体&的三类造型方法：参数曲线、曲面造型方法，代数曲线、曲面造型方法及细分法——曲线、曲面的离散化造型方法，作了较系统的综述，并对两类主要的细分法——几何方法与代数方法，作了较详细的介绍。

The typified programming technique for numerical control, described in this paper, is established on the basis of characteristic analysis of geometric configurations and dimensions of any two-dimensional patterns.

本文提出的数控编程典型化技术，是在对任意二维空间图形的几何形状及几何量进行特征分析的基础上建立起来的。

Compared with the research of the geometric nonlinear finite element method home and aboard in the components such as bar, plate, beam and shell element, the present problems is analyzed and the future research direction is described for the theoretical research and program design of geometric nonlinear finite element method.

综合比较了几何非线性有限元法在杆、梁、板、壳等方面的国内外研究成果，指出目前仍存在的问题，提出今后的发展方向，为几何非线性有限元的理论研究与程序设计提供参考。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。