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Of which:The first chapter briefly introduces the development of the Lie group theory and the background of selecting this question, presents the involved concepts and theorems in this lecture.

第一章主要介绍李群理论的研究发展概况、本文的选题背景及意义,并同时给出本论文所涉及的基本概念和结论。

A detailed discussion on the limit of function of functions is taken and six theorems are given in this paper.

本文对复合函数的极限做了细致的讨论,给出了 6个定

All theorems about the upper limit of a rounding error, including that of epsilon, refer only to the 'rounding' operation, nothing more.

关於舍入误差上限,包括精度的所有理论,都只考虑'舍入'操作,不考虑其它。

Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are proved under the condition of the weak tight, which have been used to research the some convergence of expectant functional sequence,and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.

提出了弱胎紧的概念,并在弱胎紧的条件下证明了函数序列关于弱收敛概率测度序列积分的极限定理,用其研究了期望泛函序列的若干收敛性,得到了期望泛函序列的、上图收敛的一个充分条件。

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究,特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

Secondly, the Hermitian/Skew-Hermitian splitting iteration is given, which is a new iterative methods for linear systems. Its convergence theorems are obtained.

其次,讨论了最新的Hermitian/Skew-Hermitian splitting迭代理论,给出了迭代公式和收敛性定理。

The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~#,H~(n , W~(1,p)#,H~(n , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers.

本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质,其中包括Lipschitz及Hlder连续性、空间L~p及W~(1,p)的性质、空间BMO的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。

When scalar Lyapunov function is Lipschitz continuous and regular, Matrosov theorems with respect to a closed invariant set of a class of nonlinear discontinuous systems are proposed firstly and finally, the problem of finite-time stability with respect to a closed invariant set is considered.

论文最后主要讨论脉冲系统、奇异脉冲系统、线性不确定脉冲系统、不确定脉冲系统指定衰减度以及非线性脉冲系统的奇异H∞控制问题。

In this paper,the new Theorems are presented to prove some sufficient and necessary condition of Ishikawa iterative sequence with error member for Lipschitz hemi-contraction mapping in Hilbert space converging to the fixed point.

本文给出了Hilbert空间上的Lipschitz半压缩映像的具有误差项的Ishikawa迭代序列收敛于不动点的充分必要条件。

The theoretic results on conventional theorems are far from the experiment results. Through discussing on ABA mapping, we obtain the general collage theorem and local collage theorem for ABA mapping.

本文从分析ABA映射的Collage定理入手,导出了ABA映射的广义Collage定理和ABA映射的局部Collage定理,并提出了符合实际情况的概率模型。

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I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗,它的名字叫皮皮,它很善良,它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快,并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。

At least now there are trappings of progress.

至少到现在已经有前进的迹象。