描述为

Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

In the teaching of central field, we should pay attention to turning the relative motion of two - body into one dimentuonal radial motion by introducing two physical concepts of reduced mass and effective potential energy, and we should also pay attention that the area law is the geometrical description of the conservation of angular momentum in the central field.

在有心力场教学中，应着重强调指出：通过引入折合质量和有效势能这两个物理量，把二体相对运动问题转化为单体沿径向的一维运动问题；以及面积定律是质心在有心力场中角动量守恒的几何描述。

That was Consuelo Castiglioni's party line on the Marni girl she envisaged for her Resort collection, though you could say that same description fits theMarni girl pretty much any season.

这是奈特利女孩为她度假村收集的设想的苏埃洛卡斯蒂廖尼派对路线，尽管你会说，同养的描述在任何季节都符合奈特利女孩。

Most of the principles in this book attempt to minimize work ,while providing greater levels of feedback and contextually useful information to the user.

本书描述的大多数原则旨在减少工作负荷，同时为用户提供更多层面的反馈和有用的情境信息。

In this paper, with the framework of non-equilibrium thermodynamic separation theory, a mathematical model of nonlinear chromatography is established according to the actual chromatography processes based on the three basic theorems, Lagrangian-Eulerian description, continuity axiom and local equilibrium assumption.

本文在梁恒等建立的非平衡热力学分离理论的框架下，以Lagrangian-Eulerian描述、连续性公理和局域平衡假设三大基本法则为基础，建立了一种制备色谱理论模型。

In this paper, the connectivity axiom and the continuity axiom in Von Neumann-Morgenstern Rational behavior axioms are weakened. Then, a set of axiom for lattice ordered decision-making behavior, which can describe the decision-making behavior more rationally, is constructed. At last, the relative unique existence theorem for utility function is obtained.

根据偏好关系所具有的格序特征，将Von Neumann-Morgenstern理性行为公理体系中的连通性公理弱化为格连通性公理，并相应地弱化连续性公理，得到了一集能更为合理地描述具有"有限理性"的决策行为的格序决策行为公理体系，构造并证明了在格序决策行为公理体系之下，效用函数的存在惟一性定理。

By the bosonization technology and continuous limit approximation, these systems can be transformed to a double-frequency sine-Gordon model.

利用玻色化技术和连续场描述，上述系统可转化为一个一维量子双频sine—Gordon模型。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

The nonlinear Winkler-Kelvin sub-grade model is adopted in this simplified model and the complicated 3-D problems of the soil-single piles dynamic interaction are simplified to the 1-D, that is to say, the lateral nonlinear acting force of the soil to the pile shift is simulated with thehorizontal nonlinear springs which have the continuous uniform distribution, while the nonlinear spring restoring force is described by the deteriorated Bouc-Wen model; the radiation damping and material damping due to the energy dissipation and inner friction in the soil are displayed with the dashpots which are in parallel with the horizontal nonlinear springs.

该模型采用非线性Winkler-Kelvin地基模型，将复杂的地基土-单桩动力相互作用的三维问题，简化为一维问题，即，地基土对桩轴的横向非线性作用力，由随深度均匀分布的水平非线性弹簧模拟，非线性弹簧恢复力由退化的Bouc-Wen模型描述；地基土中由于能量耗散和内部摩擦而产生的幅射阻尼和材料阻尼，由与水平非线性弹簧并联的粘壶表示。

Among the 10 descriptors, the coplanarity of three phenyl substituents with the imidazole ring, the hydrogen-bond acceptance, the molecular weight and logP are the most important factors for the modulation efficacy.

借助半经验分子轨道法AM1和从头计算法RHF/6-31G计算得到分子的多种描述因子，采用多元线性回归方法进行了结构药效分析，基于分子的结构参数、接受氢键的能力、脂水分配系数等对药物分子半有效剂量的影响提出一套拟合效果比较理想的构效关系方程，其复相关系数和标准偏差分别为0.897和0.323。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。