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In this paper , we discuss the functional analysis methods of proving kakutani fixed point theorem and give a briefer proof of kakutani fixed point theorem .
本文讨论了Kakutani不动点定理的泛函分析证法,给出了它的一个较简洁的证明。
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Next , We give a briefer proof that uses the concept of homotopy of curves , In this course of the proof , we don 't use the theorem of Jordan Curves .
其次给出一个不用约当曲线定理而仅用同伦曲线概念的更为简洁的证法。
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We were given a brief demonstration of the computer 's functions .
有人向我们简短演示了这种计算机的各种功能。
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I want to see my brief .
我想见我的律师。
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It wasn 't part of his brief to speak to the press .
交付他的任务不包括向新闻界发言。
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A brief dip into history serves to confirm this view .
随便翻阅一下历史就足以证实这种观点。
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A few brief comments are sufficient for present purposes .
就当前而言,几句简短的话已经足够了。
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This is , of necessity , a brief and incomplete account .
这必然是一份简略的、不完全的描述。
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Generally a brief note or a phone call will suffice .
通常写个便条或打个电话就足够了。
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The drug brought a brief respite from the pain .
药物暂时缓解了疼痛。
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I spent a brief spell on the Washington Post .
我曾在《华盛顿邮报》工作过一小段时间。
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The chapter concludes with a brief examination of some of the factors causing family break-up .
本章结束时简要探讨了引起家庭破裂的某些因素。
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Please be brief .
请简明扼要。
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Apart from a brief interlude of peace , the war lasted nine years .
除了一段短暂的和平,那场战争持续了九年。
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After a brief pause , they continued climbing .
他们略停了一下就继续爬山。
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The letter was brief , and couched in very polite terms .
这封信内容简短,措辞特别客气。
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After a brief excursion into drama , he concentrated on his main interest , which was poetry .
他短暂涉猎过戏剧之后便把全部精力投入到他的主要兴趣——诗歌中去了。
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I can give you a brief rundown on each of the applicants .
我可以给你简单介绍一下每名申请人的情况。
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The reports of the explosion were brief and uninformative .
有关爆炸事件的报道很简略,未及详情。
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It was unfair to judge her on such a brief acquaintanceship .
你刚认识她就对她作出评价,这是不公平的。
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She performed a brief mime .
她表演了一小段哑剧。
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I hope to be brief and to the point .
我希望简明扼要,抓住重点。
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This is a brief stop to take on passengers and water .
这是一次短暂停靠,上上客,加加水。
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Now please be brief — my time is valuable
请长话短说——我的时间宝贵。
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Write a very brief description of a typical problem .
就一个典型问题作简要的描述。
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What follows is a brief summary of the process
接下来是对此流程的一个简短概括。
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The description which he had been given was brief and to the point .
给他的描述言简意赅。
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This time their visit is brief .
他们这次的访问时间很短。
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He made a brief , unexpected appearance at the office
他出乎意料地在办公室露了一下脸。
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In a brief statement , he concentrated entirely on international affairs
他作了一个简短的声明,集中阐述了在国际事务方面的立场。