集合的

Characteristics of a number of gates from the set of all generalized Toffoli gates are studied. Any permutation S is proved to be generated by a n-cycle δ and a permutation τ=i(subscript j, i together. It shows that any neighboring 2-cycle permutation can be generated by at most two NOT gates without ancilla bit.

本文研究了生成Toffoli门集合的可逆逻辑门数的特点，证明了任意置换S可以由n-轮换δ和一个置换τ=i(下标 j，i生成，同时证明了相邻2-轮换可由至多两个NOT门在不增加额外信息位的情况下生成。

Department of Applied Mathematics;University of Science and Technology of Suzhou;Suzhou 215009

为提高算法效率，采用了集合的精确匹配代替高代价的子集关系的检验。

Differs from classic set theory, fuzzy set theory uses a value in the closed interval [0,1] to denote the extent that an element belongs to the fuzzy set.

和经典集合论不同的是，模糊集合论用单位闭区间[0，1]中的某个数值来表示元素隶属某个集合的程度。

As the extension of rough set,variable precision rough set reflects the difference of degrees of overlap of kinds and sets.

而可变精度粗糙集作为对经典粗糙集理论的扩展，体现了等价类与集合的重叠度程度上的差别。

The members of the class are exactly the set of enumerated individuals; no more, no less.

类的成员正是所列举个体的集合的元素，不多不少。

Chapter 7 gives the H-stability of the eqilibrium point set first (theorem7.1), and the other two theorems (theorem7.2-7.3) provide an estimation result for the attractive region of different eqilibrium points.

首先给出了非凸梯度神经网络平衡点集合的H—稳(来源：AB29e6C论文网www.abclunwen.com)定性结果(定理7.1)，另外的两个定理(定理7.2—7.3)给出了不同平稳点的吸引域估计。

It represents an easy and efficient way of managing that ever-growing collection of DVDs.

它提供了一种易用、有效的管理不断增长的DVD集合的方式。

Secondly, in terms of the mapping relationship between the tendon force space and the fingertip mnaipulating force space, the geometric method to establish the sets of manipulating force vector of fingertip at any configuration of the finger is proposed.

其次，根据钢缆张力空间与指端操作力空间之间的映射关系，给出了建立指端在给定操作位形处的操作力矢量集合的几何方法。

The third chapter studies the process of dynamic simulation and assembly based upon geometric constraints and probability set. Improvements of the constraint recognition and confirmation, as well as movement navigation are proposed. Real time interference detection is implemented.

第三章研究了基于几何约束可能集合的动态仿真装配零件的过程，改进了约束识别、约束确认和运动导航的算法，实现了实时干涉检测。

On the other hand, a small category is a category in which the objects and morphisms "fit" in sets.

在另一方面，小范畴是其中的对象和态射&适合&于集合的范畴。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷