定理的

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积，并且其构成非常复杂，按照正常的方式展开实际上是不可能的，为了使我们的算法实际可行，本文接着讨论了格点上算符的渐近展开问题，并且给出了基于non-abelStokes定理的方法，这种方法克服了以前各种办法的缺点，并且简单可行，适用于任意的Wilson算符。

The profile distributions of silicate, phosphate and nitrate suggest that the organic material decomposition in area is mainly through nitrification during early diagenesis. Based on benthic fluxes of nutrients calculated using Fick's first law, benthic fluxes of silicate, phosphate and nitrate are -886.45~42.62 mol/(m^2d),-3.04~5.83 mol/(m^2d) and -189.43~21.05 mol-(m^2d), respectively, and perhaps silicate and nitrate are one of the major sources of nutrients for bottom water. Our results also reveal temporal and spatial variations of benthic fluxes for silicate, phosphate and nitrate, which may be related to sedimentation environment changes caused by global climatologic change.

在水－沉积物介面附近矽酸盐、磷酸盐和硝酸盐都存在著极陡的浓度梯度，Fick扩散定理的计算结果表明，研究区内矽酸盐、磷酸盐和硝酸盐的海底扩散通量分别为-886.45～42.62mol/、-3.04～5.83mol/和-189.43～21.05mol/，且矽酸盐和硝酸盐主要是从沉积物向底层水体扩散，是底层水体营养盐的来源之一；研究区内矽酸盐、磷酸盐和硝酸盐的海底扩散通量存在著一定的时间和空间变化，这可能与因全球气候变化而导致的沉积环境的改变有关。

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。

For the monotone class of filters, the robust stability test is similar to that of Kharitonov theorem, which only needs to test four extreme polynomials of the class. However, for the non-monotone class of discrete systems, the test must examine possible combinations of all extreme polynomials.

单调系统簇的稳定性检验与Kharitonov定理的检验类似，只需检验集合中的四个端点或复多项式，而非单调系统需检验所有可能的端点复多项式的组合。

Making a primary research on member deletion. Three kinds of member deletion schemes are annlyzed, including schemes based on witness, accumulator and Chinese Remainder Theorem.

对群成员的删除题目作了初步的探索，剖析了现有的几种群成员删除计划，包括基于证据值的删除计划，基于动态累加器的删除计划和基于中国剩余定理的删除计划。

Based on the key tree and the Chinese remainder theorem, a leveled group key management scheme in wireless networks is proposed. An efficient stateless and leveled group key management scheme focusing on the revocations of wireless nodes is also presented. The security, flexibility, and adaptability of these two schemes in wireless networks are analyzed.

针对无线网络的特点建立了一种基于密钥树和中国剩余定理的分级群组密钥管理方案，针对无线节点容易被捕获的问题提出了一种能够有效解决密钥撤销的无状态分级群组密钥管理方案，并且着重分析了这两种方案在无线网络中的安全性、可扩展性和适用性。

The rational explications of the diversities between the popular investment advices and the separation theorem are given. The analysis points to the importance of considering investors' time horizons and level of risk aversion in analyzing optimal portfolio policies.

通过对该方案的经济含义进行理论分析和实例分析，对投资建议和两基金分离定理的差异给出了合理的解释，分析指出，投资期限和风险厌恶水平对投资策略的选择有很重要的影响。

It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

本论文主要进行了如下工作：运用绝热定理的方法研究耦合系统混沌态的半经典量子化，发现对于合适选择的零级哈密顿量，经典混沌态和规则态的量子化结果，在绝热近似下有相同的精度。

The other is a theoretical quality, for it depends onthe set of primes and models of a fixed theory.

第二，不完全性定理的&完全性&是理论的性质，因为它依赖于特定的理论的前提集和模型的特性。

One is the three different streamtube-methods which are single-disk single-streamtube, double-disk single-streamtube and multi-streamtube method based on the momentum theory, the other is the vortex method based on the potential eddy theory.

一是根据动量定理的流管模型得到的求解诱导速度的单盘面—单流管方法、双盘面—单流管方法、多流管方法；二是根据势涡理论得到的求解诱导速度的的涡方法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。