集合关系

This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.

该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。

Because they are fascinated by mathematics , logic , and science and have taken on the rational madness of their scientific confreres , we read much these days about information theory and its relation to the psychology and composition of music ; about statistical probabilities , stochastics , and the markoff chain and their compositional possibilities , about group and set theory as applied to serial music ; about aleatory and indeterminacy and entropy

因为他们迷于数学，逻辑，与科学，将理智狂当成他们科学同伴；我们最近读了很多，关于资讯理论及其与心理学及与作曲的关系；关于统计或然率，随机，及马可夫？及其谱曲可行性；关于群组与集合理论之应用于系列音乐；关于偶发性，不确定性，与熵

Aiming at OQL, we treated type as monoid (collection monoid and primitive monoid), and used monoid comprehension as OQL's intermediate representation. Therefore we can merge the rewrite rules for a number of collection types, then employ monoid comprehension in defining algebraic operators, as cut out the limit that in relational algebra/calculus algebraic operators are only for set.

针对ODMG-2.0的对象查询语言OQL，我们把类型提高到幺群级，然后从幺群概括入手，用幺群概括作为OQL的查询中间表示，统一了多种聚集类型的重写规则，幺群概括还被我们用于定义代数操作符，这使得代数操作符突破了关系代数/演算中只针对集合的局限。

The relation between two fuzzy sets has mutual disjoint, mutual nonLuniformly inclusive, mutual interceptive but not non-uniformly inclusive, and independent, as the same as in probability theory.

模糊集合之间关系与概率论的事件之间关系一样，不仅有不相交，非一致包含，相交而不非一致包含，而且还有相互独立，等等。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系，进一步定义模糊同余关系，并通过它又定义点态化模糊集上模糊粗糙子集，并研究了它们的一些性质。

The meaning of the majority inclusion relation shows an indiscernible category will be taken within an allowed classification error,β. The majority inclusion relation is more closed to the nature and can get more approximate knowledge.

因此在变项准确性约略集合中利用众数决纳入关系的主张，以一个受控制的不正确比例－β，使不可区分关系分类过程中能更贴近现实生活的允许一些误差，而且能藉此获得合适的属性和知识。

The implementation of object algebra by relational operator and spatial operator with the support of relational index and spatial index was discussed and the setoriented access methods were studied.

在系统实现方面，我们着重讨论了面向集合的对象存取方式及基于关系索引、空间索引和底层关系操作及空间操作的对象代数的实现机制。

Now, the topological relationships that have been defined cannot represent the topological relationships between the two complex spatial features arbitrarily composed of points, li...

当前，对拓扑关系集合的定义还不能描述那些由点、线或面等不同维几何对象构成的复杂空间对象之间的拓扑关系。

A multi - agent corporate model including the firm owner , the manager and the auditor of the corporate is analyzed in the paper , the conclusions are : educing the optimum solution of model which could prevent the manager and the auditor becoming collusive or skulked ; clarifying the relationship between monitoring of the firm owner and working of the auditor , and illustrating the behavior combination of optimum solution ; further analyzing the relationship among monitoring degree , punishment of auditor and the auditor risk .

论文采用所有者经理人审计师多代理人模型为基础进行分析，主要成果是：得出能够防止共谋和不努力工作的模型最优解集合；通过因素分析阐明审计师工作努力程度与所有者监控力度之间的直接关系，以及审计合约最优解的行为策略组合及其制定顺序；引申分析所有者监控力度与审计风险、审计师惩罚力度之间的关系；成功的将模型从单一期间扩展到多期间情况，并且将审计师声誉等非现金收入形式的效用影响加入到模型当中；通过分析审计实务中的所有者行为特征说明所有者对审计师工作实施监控的必要性，以及实现该监控所需的条件。

A multi-agent corporate model including the firm owner, the manager and the auditor of the corporate is analyzed in the paper, the conclusions are:⑴educing the optimum solution of model which could prevent the manager and the auditor becoming collusive or skulked;⑵clarifying the relationship between monitoring of the firm owner and working of the auditor, and illustrating the behavior combination of optimum solution;⑶further analyzing the relationship among monitoring degree, punishment of auditor and the auditor risk. Adapting the model from a single term to serial terms, and adding the non-monetary utility of auditor--- reputation into the model;⑷describing behavior of the firm owner in reality and clarifying the necessity of monitoring by the owner and the environment improvements it needs.

论文采用所有者－经理人－审计师多代理人模型为基础进行分析，主要成果是：⑴得出能够防止共谋和不努力工作的模型最优解集合；⑵通过因素分析阐明审计师工作努力程度与所有者监控力度之间的直接关系，以及审计合约最优解的行为策略组合及其制定顺序；⑶引申分析所有者监控力度与审计风险、审计师惩罚力度之间的关系；成功的将模型从单一期间扩展到多期间情况，并且将审计师声誉等非现金收入形式的效用影响加入到模型当中；⑷通过分析审计实务中的所有者行为特征说明所有者对审计师工作实施监控的必要性，以及实现该监控所需的条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。