查询词典 finitely generated algebra

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，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

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

第二章，研究了交换Banach代数上线性系统的实现与解耦控制。

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.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

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，讨论了交换Banach代数上线性系统的谱配置问题与可控性、可观性的关系，解决了Kaashoek等提出的关于谱配置的公开问题，给出并证明了判定其稳定性、可稳定性、可检测性的充要条件。

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.

对给定的定义在交换Banach代数上的严格真有理函数矩阵，构造了可控型、可观型的实现，证明了其极小实现在系统等价意义下的唯一性；给出了交换B.fi。

We prove that every linear map preserving zero Jordan triple product and unit from nest subalgebras of factor yon Neumann algebras to Banach algebra with unit is a Jordan isomorphisms.

接着我们对至少有一个非平凡可比较元的CSL代数上的双向保零积线性映射进行了研究，得到此映射为同构。

The algorithm is based on my "Linear Algebra" to describe the preparation, the biggest band Matrix will be able to arbitrarily amend, more versatile.

该算法系本人根据《线性代数》描述编写，矩阵的最大阶数可任意修改，更具有通用性。

Grasp the basic symbol operations in calculus of linear algebra applications, control of the equation solution.

掌握MATLAB的基本符号运算，在微积分中的应用，在线性代数中的应用，同时掌握方程的求解方法。

A move had to be made because that merry old soul, the grasswidower in question who appeared to be glued to the spot, didn't appear in any particular hurry to wend his way home to his dearly beloved Queenstown and it was highly likely some sponger's bawdyhouse of retired beauties where age was no bar off Sheriff street lower would be the best clue to that equivocal character's whereabouts for a few days to come, alternately racking their feelings (the mermaids') with sixchamber revolver anecdotes verging on the tropical calculated to freeze the marrow of anybody's bones and mauling their largesized charms betweenwhiles with rough and tumble gusto to the accompaniment of large potations of potheen and the usual blarney about himself for as to who he in reality was let x equal my right name and address, as Mr Algebra remarks passim .

他看不出这么做能有多大害处，只要确保决不会发生任何骚乱就行。该离开了，因为这位让老婆守活寡的快活的人儿好像被胶膘在这里了，他一点儿也不急于回到他那颇可怀念、眷恋的王后镇家中去。今后几天内，要是想知道这个形迹可疑的家伙的下落，老鸨搜罗几名年老色衰的佳人儿在下谢里夫街那边开起来的窑子倒是可以提供最可靠的线索。他忽而讲了一通发生在热带附近的六响左轮枪奇闻，打算把她们吓得毛骨悚然，忽而又对她们那大块头的魅力加以苛刻的挑赐，其间还大杯大杯地畅饮私造的威士忌酒，兴致勃勃地胡乱开一阵心。

A move had to be made because that merry old soul , the grasswidower in question , who appeared to be glued to the spot , didn t appear in any particular hurry to wend his way home to his dearly beloved queenstown and it was highly likely some sponger s bawdyhouse of retired beauties off sheriff street lower would be the best clue to that equivocal character s whereabouts for a few days to come , alternately racking their feelings the mermaids with sixchamber revolver anecdotes verging on the tropical calculated to freeze the marrow of anybody s bones and mauling their largesized charms betweenwhiles with rough and tumble gusto to the accompaniment of large potations of potheen and the usual blarney about himself for as to who he in reality was let xx equal my right name and address , as mr algebra remarks passim

该离开了，因为这位让老婆守活寡的快活的人儿253好像被胶膘在这里了，他一点儿也不急于回到他那颇可怀念眷恋的王后镇家中去。今后几天内，要是想知道这个形迹可疑的家伙的下落，老鸨搜罗几名年老色衰的佳人儿在下谢里夫街那边开起来的窑子倒是可以提供最可靠的线索。他忽而讲了一通发生在热带附近的六响左轮枪奇闻，打算把她们人鱼们吓得毛骨悚然，忽而又对她们那大块头的魅力加以苛刻的挑赐，其间还大杯大杯地畅饮私造的威士忌酒，兴致勃勃地胡乱开一阵心。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。