The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.

這一理論是幾何學国产在线无码一区视频、代數(shù)學、復分析久久99精品久久久久久67194、微分方程解析理論交叉的產(chǎn)物国产999久久精品，體現(xiàn)了數(shù)學的統(tǒng)一性。

In chapter two, firstly I discuss the linear problem of local automorphism on AF C* algebra.

在證明過程中充分利用了代數(shù)的特殊結(jié)構—矩陣單位系這個工具口爆吞精一区二区久久。

Based on the new theories developed in biology,the basic theoreticalproblems of the genetic algorithm,which are the representation scheme,co-nvergence and convergence rates of the genetic algorithms,etc.,are discussedwith Boolean algebra,group theory,martingale theory and axiomatic method inthe framework of the Markov chain.

本文以生物學發(fā)展的新理論為背景日本性爱三级片免费在线播放，在遺傳算法的Markov鏈框架下運用Boole代數(shù)、群欧美少妇一级黄片、鞅及公理化方法研究遺傳算法的表示免费乱轮黄色网址、收斂性與收斂速度等基本理論問題。

In the ordinary axiomatization of probability theory by means of measure theory , the problem is to construct a sigma-algebra of measurable subsets of the space of all functions, and then put a finite measure on it.

在普通公理化的概率論的方式衡量理論黄色一区二区在线观看，問題是要建設一個六西格瑪代數(shù)的可衡量的亞空間的所有功能91色在线观看，然后把有限的程度上它。用于這一目的的一個傳統(tǒng)使用的方法稱為柯爾莫哥洛夫延長91se亚洲国产综合在线。

Early in the 1950s, in algebraic topology, the concept of graded Hopf algebras was derived from an axiomatization of the works of H. Hopf relating to topological properties of Lie groups. Hence the name,'Hopf algebra'.

50年代初色综合网视视频一区二区三区，H.Hopf在研究李群的拓撲性質(zhì)這一代數(shù)拓撲領域的理論工作中引入了分次Hopf代數(shù)的概念，"Hopf代數(shù)"由此而得名精品妓女午夜福利视频。

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里A片在线，我們地德摩根代數(shù)中引進了偽度量，探討了偽度量一致和偽度量拓撲以及德摩根度量代數(shù)的分離公理性交欧美网，得到了Baire范疇定理国产调教视频一区二区、Banach收縮定理、Edelstein收縮定理以及其它不動擬原子定理久久综合精品视频7，最后給出一個德摩根拓撲代數(shù)可度量化的充分條件91插插网。

In chapter 2, the realization and decoupling of linear systems over a commutative Banach algebra have been studied.

第二章，研究了交換Banach代數(shù)上線性系統(tǒng)的實現(xiàn)與解耦控制特板人人操556。

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中討論了Banach代數(shù)元擾動后廣義逆的存在性問題日韩欧美精品中文字幕。用線性算子廣義逆的穩(wěn)定性問題的方法，得到Banach代數(shù)元擾動后廣義逆存在的充分必要條件以及穩(wěn)定的一個充分條件

In chapter 1, the relations between spectrum displacement problem and controllability, observabiity for linear systems over a commutative Banach algebra have been discussed, the open problem about spectrum displacement posed by Kaashoek have been solved, and the if and only if conditions for stability, stabiizabit~ detectability have been obtained.

第一章花季传媒视频免费观看ios，討論了交換Banach代數(shù)上線性系統(tǒng)的譜配置問題與可控性全部免费的a毛片在线看、可觀性的關系国产在线偷窥视频网址，解決了Kaashoek等提出的關于譜配置的公開問題，給出并證明了判定其穩(wěn)定性国产黄大片手机在线观看、可穩(wěn)定性欧美a在线视频、可檢測性的充要條件。

For a given strictly proper rational function matrix over a commutative Banach algebra, the controllable, observable realizations have been constructed, the uniqueness of minimal realizations under the system equivalence has been proved, also, the necessary and sufficient conditions for decoupling have been given.

對給定的定義在交換Banach代數(shù)上的嚴格真有理函數(shù)矩陣97人人操人人摸人人搞，構造了可控型毛片网址播放、可觀型的實現(xiàn)，證明了其極小實現(xiàn)在系統(tǒng)等價意義下的唯一性精品视频在线免费观看；給出了交換B.fi一级做a爰A片在线观看。