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Its main goal is to explore information in the K-theory groups of the index C*-algebras, the Roe algebras C*, by using the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other relating problems, say, the Novikov conjecture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature, the idempotent problem in the theory of C*-algebras.

粗几何上的指标理论是"非交换几何"领域九十年代以来发展起来的重要研究方向,它孕育于非紧流形上的指标理论,其主要目标是通过几何空间(如非紧完备黎曼流形、有限生成群等)的大尺度几何结构探索指标代数,即 Roe代数,的K-理论群的信息,从而建立几何空间的几何、拓扑与分析之间的联系,并应用于解决其他重要问题,如Novikov猜测、Gromov-Lawson-Rosenberg正标量曲率猜测、群C*-代数幂等元问题等。

Li Xiongbing explained to Wang Yunfeng, the section chief, that Gongmeng's legal representative, Xu Zhiyong, had been detained by the Beijing Police Bureau at Beijing Detention House because of tax issues and requests of lawyer meeting were rejected, therefore unable to sign on the Power of Attorney; under such occasions, a company-stamped Power of Attorney has the same legal effect; and he requested permission to make the tax payment and make the fine payment procedures according to the law.

黎雄兵律师对王元锋科长说,公盟的法人代表许志永现已被北京市公安局以涉税问题羁押于北京市第一看守所,律师未获批准会见,目前无法在授权委托书上签字,盖有公司印章的授权委托书是具有法律效力的,要求依法予以办理准许缴纳税款及罚款的手续,开具税单。

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推荐网络例句

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称;三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起,称之为挽歌体诗人或者史诗诗人,他们被称为诗人,似乎只是因为遵守格律写作,而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。

This is not paper type of business,it's people business,with such huge money involved.

这不是纸上谈兵式的交易,这是人与人的业务,而且涉及金额巨大。