群

This paper studies knots from a group theory point of view. A new method has been constructed that transforms a knot group to a permutation group, so as to better understand the nature of knots.

本文是从群的角度对纽结进行研究，构造出了一种从纽结群到置换群的表示，可以更好的反映纽结的性质。

Knot Group;Permutation Group;Representation Of a Group;Computer Algorithm

纽结群；置换群；共轭类；群表示；计算机算法

And we get a condition for a polygonal products to be residually finite.

我们给出了广义自由积为剩余有限性的判定条件，并且得到了顶点子群是有限p-群的多边形积是剩余有限群的一个条件。

In chapter 1, one type of maximal subgroups in symplectic groups overpolynomial rings are obtained. Let F be a field, R = F be a ring of polynomial in one variable over F, m be a positive integer, f eF and S be the ideal of R generated by -f, We define:, then G is a maximalsubgroups of Sp(2m,R).

在第一章中，得到了多项式环上辛群的一类极大子群：设F是一个域，R=F是域F上关于λ的一元多项式环，m是一个正整数，f∈F，S是R的由λ-f生成的理想，则是Sp(2m，R)的一个极大子群。

The word-to-sound rule and the structure of a speech database are modified during the implementation of TTS system, and then a filter algorithm based on part-of-speech is proposed to solve the polyphone problem. Prosodic research on Chinese characters plays a great role in speech recognition and speech synthesis system. In order to improve the naturalness of a speech synthesis system, the relationship among the sentence structure, the length of a sentence and the breath boundaries is analyzed and a breath boundary assigning algorithm based on such relationship is put forward. In addition, the author analyzes the process of a speech synthesis system and builds a prosodic markup language suitable for Chinese speech synthesis.

呼吸群边界划分作为汉语韵律的一种表现方式，它在语音感知和文语转换系统的性能方面起着十分重要的作用，作者在对汉语句法结构、句子长度和和呼吸群划分之间关系的研究基础上，设计并实现了基于句子长度和句法结构的呼吸群边界划分算法；为更好地描述文语转换过程，作者提出了适合汉语语音合成的SSML韵律标注语言，该标注语言不仅从声学层上对语音的韵律进行描述，而且从语言学层上标注句法结构信息，最后本文对基于语言理解的韵律规则用SSML进行了描述并用实验验证了语言学层面的标注对系统自然度的影响。

We present a threat model on the basis of real terrain data and fire threats.

提出了一种Q-学习的自适应蚁群算法的无人机航路规划方法，建立了基于真实地形数据和火力威胁区的威胁模型；针对传统蚁群算法在搜索过程中出现停滞现象，提出的Q-学习的自适应蚁群算法有效地解决了这一缺陷。

Wear degree decreases, and the wear particle distribution curves become protrusive and precipitous gradually in the initial stage.

通过分析铜合金销与碳钢盘在干摩擦条件下相互对磨所产生的磨粒群和销试样磨损量，发现磨粒的累积分布和微分分布特性随磨损时间的变化而变化：在磨损开始阶段，磨损程度逐渐减小，磨粒群分布曲线由平缓变得逐渐凸、陡；达到磨损平衡状态后，磨损率达到最小，磨粒群微分布曲线的幅值达到最大，横向宽度达到最小；随着销与盘间互适性变弱，磨损程度增大，磨粒分布曲线变得越来越平缓，横向宽度逐渐增大；磨粒分布曲线随磨损时间的变化规律与磨损率随磨损时间的变化规律有明显的对应关系，可为科学诊断和预测摩擦学系统状态提供有用信息。

We note that any pure elliptic subgroup ofI somis discrete if and only if G is finite group.

最后，我们引入了一种广义非初等群，发现〓变换群经典的离散准则对我们研究的非初等群只是有条件成立，我们找到了充要条件对其建立了离散准则。

Every group G has a normal subgroup N such that the quotient group G/N is a simple group.

任何群G都存在正规子群N使得G/N是单群。

In addition, the concept of generalized fuzzy quotient group is introduced and the correspondence theorems of generalized fuzzy quotient groups and fuzzy quotient subgroups are obtained respectively under group homomorphism.

另外，我们引入广义模糊商群概念，建立了环同态下广义模糊商群的对应定理及模糊商子群的对应定理。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！