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In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论,在由Loeb测度空间导出度量空间的基础上,由内有限可加测度空间导出了度量空间,并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系,在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里,我们首先简单介绍了非标准分析的产生、发展及研究现状,接着给出了非标准分析的理论基础以及公理化的非标准分析,进而讨论了非标准模型和饱和模型,并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Some fork in the male, and some forks in the dried fish, some fork in the carp ...... However, they gave me a fork, but they just plan a fun Bale.

有的叉中了雄鱼,有的叉中了柴鱼,有的叉中了鲤鱼……不过,他们叉的都给了我,而他们只是图个乐罢了。

Visualizin the realim of life and actuality Fuсk who's the baddest a person's status depends on salary And my mentality is, money orientated I'm destined to live the dream for all my peeps who never made it cause yeah, we were beginners in the hood as five percenter But somethin must of got in us cause all of us turned to sinners Now some, restin in peace and some are sittin in San Quentin Others such as myself are tryin to carry on tradition Keepin the schwepervesence street ghetto essence inside us Cause it provides us with the proper insight to guide us Even though, we know somehow we all gotta go but as long as we leavin thievin we'll be leavin with some kind of dough so, and to that day we expire and turn to vapors me and my capers-ll be somewhere stackin plenty papers Keepin it real, packin steel, gettin high Cause life's a bitch and then you die

让是绝对生活的现实主义形象化吧干,一个人为了薪水最坏的状态是什么?我的想法是,被钱所左右我注定要实现同龄人没有实现的梦因为,我们是穷区百分子五的开创者但是我们必须做点什么因为我们都是罪人现在,有些去世有些在 San Quentin监狱其余和我一样的还在坚持发扬传统坚持我们心中街头给我们的倔强不屈的精神因为他给了我们正确的想法来指引我们即使我们知道我们会离开不过只要我们离开了偷窃就离开了金钱所以,在我们离去升天的那天我和我的事业会在某处堆满金钱保持真实,带好家伙,high起来因为生活是个婊子之后你会死

Some people in ordinary posts relied on the silent devotion,(Yan Jue Xu is one such teacher, who for decades on end, silently clung to their posts, silently dedicate the ......) Some people a strong position in the dark inside to flash with it, as usual, some people in a dangerous environment, but bravely fighting the death calmly.

有的人在平凡的岗位上默默地奉献着却毫无怨言,(颜厥绪老师就是这样的一个,他几十年如一日,默默地坚守着自己的岗位,默默地奉献着……)有的人在黑暗的境地里坚强地闪光着却一如既往,有的人在危险的环境中勇敢地斗争着却视死如归。

It's a foredoom for some people waiting for some others,while some people are doomed to others.

有些人注定是等待别人的,有些人是注定被人等的。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先,讨论了含幺半群中基的基本性质及基与最小生成元集的联系,并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系;证明了在有唯一长度的半群S中,不可约生成元集、基、最小生成元集三者之间的等价关系;其次,讨论了字的组合与分解性,得出了字的本原性与不可分解性之间的关系---若为不可分解的,则一定是本原的,反之,不一定真;并运用图示法证明了字的可补性理论,讨论了方程,的可解性;在此基础上,用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字,其中,则是一个码;若则当且仅当{}是一个码。

In fretfulness, a little bit of grit gets into the bearings ━ some slight disappointment, some ingratitude, some discourtesy ━ and the smooth working of the life is checked.

不平只会起摩擦,;不平不能变成和平。一部火车的车轴如果发热了,并不能帮助火车前进;它们的发热只能产生障碍。

I need some fruit or some juice or some...

我需要水果或果汁或

Based on some existing works, this thesis is devoted to the study of globalsynchronization for several delayed complex dynamical networks by means of Lya-punov functional, linear matrix inequality and some other skills. some su?cientconditions are obtained to guarantee the synchronization of the considered systems.

本学位论文在现有文献的基础上,通过构造不同的Lyapunov泛函,运用线性矩阵不等式,和一些数学分析方法技巧,分析讨论了几类耦合时滞神经网络模型的全局同步性质,得到了其全局同步的几个判断准则。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分:在一维情形,我们考虑了一类带导数项的Ginzburg—Landau方程,通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计,证明了当粘性系数趋于零时,Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解,并给出了最优收敛速度估计;在二维情形,我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性,以及在某种特殊情形下,GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解;在一般情形下,我们讨论了一类Ginzburg—Landau方程的非齐次边值问题,通过几个积分恒等式,同时估计解的H〓模及法向导数在边界上的模,证明了整体弱解的存在性。

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推荐网络例句

This immediately brings us to the next part of this article: creating an output "replace function".

下面进入文章的第二部分:建立一个"缓存处理函数"。

He was elected as an International Ornithological Committee member in 2002 during the 24th IOC held in Beijing.

现为中国鸟类学会理事和WPA 专家组成员。2002年被推选为国际鸟类委员会委员。

Jenson Button: I think the angles at which we hit the wall are far greater than what they do in America, on the ovals.

巴顿:我认为我们撞墙的角度比在美国那些措施更有效,在那种椭圆形赛道上。