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Then(1) There exist controvertible normal operators E, F, such thatand 0 is an isolated point in is an isolated point in ,(2) There exist a series of operator An, such that

存在可交换得正常算子El,使得 T=AO-A=EF=FE 且 0是。p)的孤立卢、eso是口p)的孤立。点,*存在一列算子**使得 lAnAll- 0,n、co

Using the main result, we also obtain a simple criterion to check if a given mathrm C^*-algebra A is Abelian, that is, A is Abelian if and only for any two positive elements a, bin A, there is a'in A such that ab=ba'.

利用文中的主要结论,还得到了判断 mathrm C^*-代数 A 是交换一个简单条件,即 A 是交换的当且仅当对 A 中的任何两个正元 a, b 存在 a'in A 使得 ab=ba'。

But we have not yet learned to manage our materialism and carnality property; they are still entangled with the desire for ownership, where "Possession is one with loss."

但我们还没有学会如何控制我们对物质利益和肉欲的追求,它们和占有欲纠缠在一起,使得"拥有便是失去。"

He seems to describe a dissociation of spirit, which makes the parade looks like performing a circus's chaffing sideshow.

他似乎要表达一种精神出轨的游离感,使得"游行"也变得虚伪和浮夸,仿佛是马戏团恶作剧的表演。

Consider the circle that is tangent to the curve at and has the same curvature there. Its center will lie on the concave side of the curve. This circle is called the circle of curvature. Its radius is the radius of curvature, and

在点处的曲线的法线上,在凹的一侧取一点,使得,以为圆心,半径为的圆叫做曲线在点处的曲率圆,曲率圆的圆心叫做曲线在点处的曲率中心,曲率圆的半径叫做曲线在点处的曲率半径。

"Plateau Eagle" advanced trainer has a good visual-field by adopting the advanced cockpit contour design and an integral arc windshield. The height difference of pilot eye-position between front and rear cockpits is up to 280mm.

采用先进的座舱外形设计、单块式整体圆弧风挡,以及前后座舱飞行员眼位高度差达到280毫米等措施,使得"山鹰"飞机具有良好的视界。

Year marketing and circulation help to enormous fashion resources of COSMO , which consists of 30% of the content.

14年的市场地位和读者的阅读需求,使得 COSMO 的时装内容非常丰富,占到内容总比例的30%。

Resolving the students" studying problem is important to modern education, because it will not only affect the target of our compulsory education, cumber to improve our nation"s diathesis, but waste education resources and distort the education developing if it is not resolved.

这些学生的学习困难问题是目前学校教育急待解决的问题,因为这一问题不仅制约了我国普及义务教育和国民文化素质的提高,而且长此以往,还将导致国家教育投入的浪费和学校教育的畸型发展,使得"素质教育"成为一句口号。

As "tell me about your weaknesses", its intimidating effect can be most disquieting, even

当您回答一个特别难的问题,比如"告诉我你的弱势"后,你得到这样一个沉默的礼遇,如此效果,使得

The collapse of the dollar bloc, if it continues, will add to this exchange-rate volatility and in the worst case make it easier for beggar-thy-neighbor currency manipulation.

美元集团的倒塌,如果继续下去,将加重这次汇率波动,以及,在最坏的情况下,使得"以邻为壑"的货币操作更加容易。

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Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜,这支南方球队将会更坚持其一贯而有效的4-3-3阵型,洛佩斯和塞德维奇将取代受伤缺席的詹保罗,和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外,西方较自由的生活方式对年轻人的影响增大。

We are fed up with what the garrulous old lady said.

我们已经对那位爱唠叨的老太太所说的话感到厌烦了。