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First of all,by use of the modern differential geometry and the double complex functionmethod,the definitions of dual and self-dual operators as well as ordinarycomplex Ashtekar connections are extended into parametric forms.

首先利用现代微分几何和二重复函数方法将对偶，自对偶算符的定义以及普通复阿西特卡联络推广为参数化形式。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

It can be divided into two chapters.In chapter one ,we state a few usual notations,definitions and basic results.In chapter two, we first establish a Morse index theory for 2p-order linear Hamiltonian systems.Then as applications of the index theory ,we discuss nontrivial solutions for nonlinear Hamiltonian systems by making use of Leray-Schauder degree theory and Morse theory.

全文分为两章：第一章中给出了本文所要用到的一些基础知识和一些常用的记号；第二章先建立了线性2p-阶Hamiltonian系统的指标；作为此分类指标的应用，结合Leray-Schauder度理论及Morse 理论，讨论了渐近线性系统的非平凡解的存在性。

Quadratic phase coupling analysis is extended to complex domain in this chapter,〓-D spectrum method is adopted to obtain the coupling and coupled components separately by using different cumulant definitions of complex process. This property can be used to avoid confusion when multigroup quadratic phase coupling relationships are involved.

然后本章将二次相位耦合的研究拓展至复数域，通过改变复数信号三阶累积量的定义方式，分别在〓维谱中得到参加耦合的谐波分量和耦合产生的谐波分量，在同时存在多组耦合时，可以避免产生混淆。

We describe message composition wizards, a multipurpose delivery system implementation, and message access role definitions.

我们描述的信息组成奇才，多功能化系统的实施，以及信息获取的角色定义。

TH Murrey has his time rules based off the "Harvest Moon" but I would stick to WD Gann's time definitions when using this natural 8 th system and his plastic overlays as his method has a clear degree relationship to both price and time and also to the fractal structure, which he described in the quote mentioned above.

第马锐有他的休假时间的"牧场物语"，但我会坚持江恩的时间定义时，使用这种系统的自然月8 日和他的塑料覆盖他的方法有一个明确的程度的关系既价格和时间，也对的规则分形结构，他在上述报价描述。

TH Murrey has his rules based off the "Harvest Moon" but I would stick to WD Gann's definitions when using this natural 8 th system and his plastic overlays as his method has a clear degree relationship to both price and and also to the fractal structure, which he described in the quote mentioned above.

第马锐有他的休假时间的"牧场物语"，但我会坚持江恩的时间定义时，使用这种系统的自然月8 日和他的塑料覆盖他的方法有一个明确的程度的关系既价格和时间，也对的规则分形结构，他在上述报价描述。

As there is a distinction between modern and traditional museology, so exist different definitions of the term"display design".

现代博物馆学和传统博物馆学是有区别的。相应地对于陈列设计的界定亦是不同的。

What conclusions can be drawn from the variety of definitions of public administration and their myriad nuances?

有什么结论，可以得出从不同的定义，公共行政和他们的无数细微差别呢？

Based upon the idea of space partition and object decomposition, topological components of an area object with holes are defined by the use of the concept of neighborhood in the point set topology, which is a natural extension of the definitions for topological components of a simple area.

本文基于空间划分和目标分解的思想，利用点集理论中的邻域概念详细分析和描述带孔洞面目标的点集拓扑分量，这种描述方法实质上是简单面目标点集拓扑分量描述的一种自然延展。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。