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In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环,证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构;可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构;同时,部分回答了Larson所提的问题;最后,得到von Neumann代数的每一个局部2-上循环是2-上循环。

And the bursts of warm applause and hearty laughter came frequently. Each sentence of Kaifu was so fair and reasonable and also never lacked of new meaning. Every movement expression, even a simple smile could move people present deeply .He revealed the elegance and secret of an outstanding elocutionist with not only his diction but his speech itself too.

开复老师的每一句话听起来都是那么的入情入理又不乏新意,每一个动作表情,甚至是一个浅浅的微笑都深深地感染着在场的每一个人,举手投足之间都透露着一个优秀的演说家的风采,他不只是用言语在给大家诠释演说家的秘密,他的演说本身就在向大家展示演说家的秘决所在。

One of your smiling face, each facial expression, each not float to move the all profound 烙 easily at my heart, that is to make public inebriate of, concern about of, you!!!

你的每一个笑容,每一个表情,每一个不轻易的飘动都深深的烙在了我的心田,那是令人心醉的,牵挂的,你!!!

In the stillness of the air every tree, every leaf, every bough, every tendril of creeper and every petal of minute blossoms seemed to have been bewitched into an immobility perfect and final.

在静止的空气中,每一棵树,每一叶,每一bough ,每卷须爬山虎,每一个花瓣盛开的一刻似乎已经bewitched成为immobility完美决赛。

Each of these children is an experiment of one.If we funded psychiatric research in this country (the GOP appears to have an ideologic opposition to pyschiatry) we'd treat each child as an experiment, and gather every bit of data we could on risks and benefits in a national database with robust privacy protections.

这些孩子是每个实验one.if精神病研究资助我们在这个国家(共和党似乎有一个学生思想反对pyschiatry)我们孩子般地对待每一个实验每一点、搜集有关资料,我们可以在一个国家的风险和利益与强劲隐私权保护数据库。

At the approach of spring the red squirrels got under my house,two at a time, directly under my feet as I sat reading or writing,and kept up the queerest chuckling and chirruping and vocal pirouetting and gurgling sounds that ever were heard; and when I stamped they only chirruped the louder, as if past all fear and respect in their mad pranks, defying humanity to stop them.

不多久,不仅在这些湖岸上,在每一个小山,平原和每一个洞窟中,都有霜从地里出来了,像一个四足动物从冬眠中醒了过来一样,在音乐声中寻找着海洋,或者要迁移到云中另外的地方。

The Hunspell dictionary maintainers have done a great job creating high-quality dictionaries that anybody can use, but one of the problems with any dictionary is that there are inevitably omissions, especially as new words appear or proper nouns come into common use. We at Google are in a good position to use our knowledge of the internet to identify and fix some of these omissions. The Google translation team used their language models to generate a sorted list of the most popular words in each language. This was cross-checked with the Hunspell dictionaries to generate a list of the top 1000 words not present in each dictionary. This list includes many popular words, but also common misspellings. To remove these words, each list was reviewed by specialist in that language. Generally, we tried to keep proper nouns and even foreign words as long as they were in common usage.

Hunspell字典维护人员已经完成了一项伟大的工作,那就是创建了一个高质量的可供任何人使用的字典但是所有的字典都存在一个不可避免的问题就是词条的遗漏,特别是新出现的名词和专有名词开始广泛使用的时候我们这些在Google工作的人可以很好地使用我们的网络知识来识别并确定一些遗漏 Google翻译团队使用他们的网络模型来为每一种语言产生一个排好序的最流行词汇表它与Hunspell词典相互检验然后生成每一个字典都没有的最流行的1000个单词的列表这个列表包含了许google地球免费多流行词汇,但是也包括了常见的错别字为了删掉这些词,每一个列表都要经过语言专家的审查一般来说,我们试图包含常用的专有名词甚至是外语词汇

To know life in every breath, every cup of tea , every life we take, the way of the warrior, life in every breath, that is BUSHIDO

感受生命,在每一次呼吸之间,在每一杯茶中,在每一个我们夺取的生命中,这就是一个战士的生存之道。

The "Apologia" describes it, In every part of the country, and every class of society, through every organ and opportunity of opinion, in newspapers, in periodicals, at meetings, in pulpits, at dinner-tables, in coffee-rooms, in railway-carriages, I was denounced as a traitor who had laid his train, and was detected in the very act of firing it against the time-honoured Establishment.

& &纵容&形容,&在每一个国家的一部分,每一个阶层的社会,通过每一个器官和机会的意见,在报纸,期刊,会议上,在pulpits ,在晚宴上表,在咖啡室,在铁路车厢,我是谴责,作为一个汉奸谁奠定了他的列车,发现在非常的行为,这对射击的时间由来已久的建立。

Let all creation sing in wonder, every sea, every creature, every star.

让所有的造物都不可思议的歌唱,每一片海洋,每一个造物,每一个星辰。

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However, as the name(read-only memory)implies, CD disks cannot be written onorchanged in any way.

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