查询词典 representation notation

To meet the needs of CAD/CAPP concurrent designing in Computer Aided Concurrent Engineering. This paper investigates the key of integration system designing. The representation scheme for defining and operating form feature based on manufacture, the protrusion form feature exchanging and the UI of the system with a manufacture enviroment are presented. And also an OODM—UIMS developed by the author is introduced. The concurrent design of CAD/CAPP is the bottleneck in integrating process.

本文根据并行工程的要求，从构造基于并行、面向特征的CAD/CAM集成系统的思想出发，对系统的模式设计、基于加工的零件参数化特征描述、凸起形状特征的转换处理及具有加工环境的系统交互界面及面向对象的交互界面管理系统的设计与开发等关键技术进行了深入的研究，形成了系统的思想理论和方法。

In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识，如多项式的Bernstein-Bézier表示，相容三角剖分的定义，Bézier三角样条曲面保凸的条件，相邻Bézier曲面片函数连续和几何连续的条件等，特别地，在刘鼎元关于几何连续条件的一般定理的基础上，导出了几个较简单的实用的一阶几何连续条件。

Examples are given to prove the conclusion that conditional entropy never increases is not absolute, thus the representation that information is to decrease uncertainty in the definition of information is not absolutely correct, so Shannon's definition of information is not fit.

从多个角度分析了条件熵的定义和计算公式的问题，对条件熵的计算公式进行了纠正，并且举例证明了熵不增并不是绝对的，进而指出香农信息定义中的不确定性的减少也不是绝对的，从而信息的定义名不副实。

This paper presents a walking planning method based on Configuration Space Algorithm, as well as representation of virtual environment.

提出了一种基于自由空间法和环境离散化表示的虚拟人行走规划方法。

The separation of models and configuration may improve the generality of a configurator. The paper studies the representation of GBOM for product family.

研究了产品族GBOM的表达方法，并根据表达方法采用基于约束和事物特性表的推理方法。

We do not want our representation of you to create a conflict of interest.

我们不希望因我们对您的陈述而导致利害冲突。

Archaeologists were impressed and puzzled by this map dated 2100 years ago because the level of mapping technology used in this map are comparable to modern maps, which are manifested by the high precision achieved in the mapping of rivers, and the representation of mountains and their peaks using conformal projection.

这幅2100多年前的古代地图，河流测绘的精确程度非常高，并且使用正形投影表示山脉山峰，其测绘科技水平已接近近代地图，这令人感到十分惊讶同时也不免产生困惑。

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 this paper, the computation of original likelihood function is transformed into the optimal problem of its low bound through the conjugate representation of the convex function, and a additional parameter is introduced to control the smoothing degree of low bound, and so the performance of local optimal solution can be improved.

我们利用凸泛函的对偶性，将原似然函数的复杂计算问题转化为对其下界函数的优化问题，从而降低学习算法的复杂性；并通过引入一个参数来控制下界函数的光滑程度来改善局部最优解的性能；指出了传统的期望最大化算法(Expectation Maximization Algorithm)是变分学习算法的特殊情况。

In the third, we hit the variational principle, orthogonal decomposition, orthonormal base, Riesz representation theorem and the conjugate operators in the Hilbert space.

第三部分，Hilbert空间的变分原理、正交分解、完备标准正交系的存在性、Riesz表现定理和共扼算子等。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样