knot theory

We introduced the useful instrument of Knot Theory Jones polynomial and its formation .

介绍了研究纽结理论的有力工具&琼斯多项式及其构造；

Now she wanted to forge ahead with the next lesson , in knot theory .

现在，她想开始下一课：纽结理论（knottheory）。

Still , for a long time knot theory remained a somewhat esoteric branch of mathematics .

一直以来，扭结理论在数学领域仍然是某种充满奥秘的分支学科。

Knot Theory and Quantum Chaos

纽结理论与量子混沌

Knot theory is a branch of mathematics , which studies the properties in the continuous transformation of one or more strings .

纽结理论是数学中的一个分支，研究绳圈（或多个绳圈）在连续变形下保持不变的特性。

Conclusion : The use of modern technology and traditional Chinese medicine to the attention of knot theory in order to give full play to its effectiveness .

结论：现代技术运用时要注意与中医理论相结合，才能充分发挥其效用。

This paper discusses the application of knot theory to quantum chaos , reveals the topological structure of the chaotic solution of quantum systems .

讨论了纽结理论对量子混沌的应用，并揭示了量子系统中混沌解的拓扑结构。

But mathematicians have created a diverse branch of study known as knot theory that describes the mathematical properties of knots .

但是数学家却创造了一个被称为扭结理论的分支学科，来描述绳结的一些数学特性。

Alexander polynomial in knot theory

纽结理论中的Alexander多项式

The introduction of these surfaces is shown in every text book on knot theory , but from these it is hard to understand their shape and structure .

关于这些曲面的介绍可以在纽结理论的资料上查阅到，但是想要真正了解这些曲面的形状和结构，仍然是非常困难的。

A new method for understanding the construction of dual links has been developed on the basis of medial graph in graph theory and tangle in knot theory .

基于图论中反转中间图的方法和纽结理论中的缠绕理论，我们提出了构建对偶链环的新方法。

Since then they have found numerous and deep applications in areas ranging from theoretical physics , symplectic geometry , knot theory , and modular representations of reductive algebraic groups .

从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。

Polyhedral links are new theoretical results , some interlocked structures on the basis of old convex polyhedra and knot theory , which derived from the theoretical research for viral capsid structure and supermolecule structure .

多面体链环是将古老的凸多面体结构和重要的纽结理论相结合，在解决近年来实验室中发现的病毒结构和合成的超分子结构的理论研究中，得到的理论成果。

In this dissertation , we mainly focus on the computation of Jones polynomial and some its related polynomials of links in knot theory and analyze the distribution of their zeros . The methods we used are basically combinatorial .

本论文主要研究扭结理论中链环的Jones多项式和一些相关多项式的计算以及Jones多项式的根的分布，使用的方法基本上是组合方法。

However , how to assessment of the moral character correctly is a Gordian knot in theory and application .

但是，如何对思想道德素质进行测评一直是理论研究和实践应用的瓶颈问题。