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Cauchy convergence criteria is proved the convergence and spread the basic method and through this method also launched many simple method, thus the important position of cauchy criterion, this kind of method is obvious superiority of the characteristics of itself, through to judge whether to prove the convergence, and this will bring convenience to the standards for the following summary, and probes into some of the relationship between them.

柯西收敛准则是证明收敛与发散的基本方法，并且通过此种方法还推出了非常多简单的方法，由此可见柯西准则的重要地位，此种方法的优越性也是显而易见的，就是通过本身的特征来判断是不是收敛，这就给证明带来了方便，本文将这几种准则作了以下总结，并且探讨了它们之间的一些关系。

Therefore,in order to simplify the proving process of these inequalities.Though reading a lot of relevant resource,we begin with the basic concept of math,and use an ingenious way――probabilistic method, which means that according to the main features of inequality theory,combining the basic concepts and formulas of probability,through creating one suitable probability model,giving some concrete meanings of random events or random variables,proving through probability theory,we discuss the Cauchy inequality,Class inequality,Jensen inequality,and several common inequality's proofs.

因此，为了简化这些不等式的证明过程，通过阅读大量的相关资料，本文从数学的基本概念入手，运用了1种巧妙的方法——概率方法，即根据不等式的主要特征，结合概率论的1些基本概念和公式，通过建立1个适当的概率模型，赋以1些随机事件或随机变量的具体含义，再利用概率论的理论加以证明，讨论了柯西不等式，级数不等式，詹森不等式和几个1般不等式的证明。

Enterprises through the ISO9001: 2000 international quality management system certification, CCC Chinese products through mandatory product certification.

企业通过 ISO9001：2000 国际质量管理体系认证，产品通过 CCC 中国国家强制性产品认证。

Early November this year, Pingxiang City completed the "green city planning system" through planning layout for the center City Green axle extension garden globe as tall as the external protective green around the center green expansion of the green corridor through, and realize the city in the mountains, water running throughout the city, creating artificial and natural combination of "natural music" style.

今年11月初，萍乡市编制完成了《城市绿地系统规划》，通过规划布局，使中心城区绿轴延伸，园林生辉，外围防护绿地环绕，中心绿地扩大，绿色走廊相贯，实现城在山中、水贯全城，创造人工与自然相结合的"山水绿城"风貌。

Through reporting, stick go out or show content, you were offerred to Gu Ge permanent, irrevocable, of the whole world, do not have patent fee with attributive of blame proprietary licence, allow Gu Ge to be made afresh, cento, revise, interpreter, publish, move publicly, spectacular with any content that release you to be offerred through this browser.

通过呈报、贴出或者显示内容，你就向谷歌提供了永久性的、不可撤销的、全球的、没有专利费的和非专有的许可证权限，允许谷歌重新制作、摘录、修改、翻译、出版、公开运行、公开展示和发布你通过这个浏览器提供的任何内容。

The essay proper investigates An Inland Voyage and Travels with a Donkey in the Cevennes through the discourse of Romanticism and In the South Seas through the discourse of imperialism.

论文主体部分以浪漫主义的观点来阅读《内河航行记》与《赛凡斯山偕驴同行》，并以帝国主义论述的观点来阅读《南太平洋记行》。

Furnace Door movements through electrical and worm reducer and the drive sprocket chain conducted, and through electromagnetic brake.

炉门的升降是通过电动机和蜗轮蜗杆减速机及链轮链条的传动来进行的，并通过电磁制动器制动。

It usually enters the ovule through the micropyle, but in some species, such as beech it may enter through the chalaza chalazogamy

花粉管一般通过珠孔进入胚珠，但在某些种中，如山毛榉，它可能是通过合点进入胚珠。

You can check either through the Internet or you can get it through the mail.

你可以透过互联网或查核您可以通过邮件。

Based on likeness, Chinese traditional painting mainly applies the rhythm with obvious subjectivity and expresses its feelings through hogarth's line and chiaroscuro, while western traditional painting pays more attention to expressing feelings through color and chiaroscuro with objectivity based on appearance resemblance.

中国传统绘画是在"神似"的基础上对绘画中的节奏进行把握和运用，因此其对绘画节奏的认识具有明显的主观倾向，体现在更注重通过线条节奏和黑白节奏来表达自身的情感和认识；西方传统绘画是在"形似"的基础上对绘画中的节奏进行把握和运用，因此其对绘画节奏的认识具有明显的客观性，体现在更注重通过色彩节奏和明暗节奏来表达自身的情感和认识。

You can buy sweetened beverages, if that suits you.

你若喜欢的话，可以买些含有糖精的混合饮料。

As many of you are probably aware, Nick and Vanessa were recently faced with an embarrasing sex scandal after naked pictures of the two getting jiggy with it in a hot tub surfaced the net.

正如很多你可能知道，尼克和 Vanessa 最近面临一个尴尬的绯闻事件后，赤裸裸的图片两个越来越jiggy与它在浴缸中的一个热点浮现净。