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Also prove that every bounded linear approximately local Hilbert space representation of a abelian von Neumann algebra is a representation,every bounded linear approximately 2- local Hilbert space representation of a von Neumann algebra is a representation.

同时证明了交换von Neumann代数的有界近似局部表示是表示，每个von Neumann代数的有界近似2—局部表示是表示。

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。

In chapter 2, a new concept- property T〓 is introduced, it is proved that nest subalgebras of von Neumann algebras, finite width CSL and atomic CSL subalgebras of von Neumann algebras have property T〓. Some tensor product formulae of nest subalgebras and CSL subalgebras in von Neumann algebras are obtained. Tensor products of W〓-dynamical systems are studied. Finally, the essential commutant of tensor product of operator algebras is discussed.

第二章我们引入了性质T〓这一新概念，并证明了任一vonNeumann中的任何套子代数，有限宽度的可交换格子代数和原子可交换格子代数都具有性质T〓；得到了von Neumann代数中套子代数和可交换格子代数的张量积公式；研究了W*-动力系统的张量积问题；最后讨论了张量积代数的本性换位。

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代数上的Jordan导子和Jordan同构，证明了套代数上的每一个Jordan导子都是内导子；套代数之间的每一个Jordan同构要么是同构要么是反同构；最后给出了因子von Neumann代数中套子代数上导子的一个范数估计，同时也证明了因子von Neumann代数中的任何一个套子代数都具有AIP性质。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

In chapter 1, similarity and perturbations of nest subalgebras of factor von Neumann algebras are studied. A similarity theorem is given (see Theorem 1. 2. 3), and it is shown that similar nests in a factor von Neumann algebra are close.

第一章研究因子von Neumann代数中套的相似性和套子代数的摄动，获到一个相似定理（定理1.2.3），其几何意义是：因子von Neumann代数中相似的套聚拢在一起并可向外扩展。

Following our result, the KS test and Cramér-von-Mises test got the best testing outcome excluding the Cauchy, student's t and Logistic distribution, and Cramér-von-Mises test is better than KS test.

根据我们的模拟结果可知，除了柯西、t及逻辑斯分布之外，KS检定法和Cramér-von-Mises检定法有较好的检测效果，并且以Cramér-von-Mises检定法优於KS检定法。

In the late 1760s, a Hungarian nobleman named Wolfgang von Kempelen built the first machine capable of beating a human at chess. Called the Turk, von Kempelen's automaton consisted of a small wooden cabinet, a chessboard, and the torso of a turbaned mannequin.

18世纪60年代的晚期，一个叫Wolfgang von Kempelen的匈牙利贵族发明了第一台能够在象棋上击败人类的机器。von Kempelen的这台机器被称为Turk，它由一个木盒子，一块棋版，以及一个裹着头巾的假人躯干所组成。

In April 2004, German academic Michael Maar made waves in the literary world with his London Times article,"Curse of the First Lolita," which presented startling parallels between Vladimir Nabokov's famous novel, Lolita (1955), and a 1916, 18-page German short story of the same name, penned by journalist Heinz von Eschwege (under the pen name Heinz von Lichberg).

2004年4月，德国学者Michael Maar在《伦敦时报》的文章：&第一个洛丽塔的诅咒&，在文学界掀起波澜。该文展示了Vladimir Nabokov的著名小说《洛丽塔》（1955）和一个1916年的18页同名德国短篇小说的惊人相似之处。这篇小说由记者Heinz von Eschwege执笔（笔名Heinz von Lichberg）。

"Edelweiss" is a show tune from the 1959 Rodgers and Hammerstein musical The Sound of Music. It is named after the edelweiss, a white flower found high in the Alpine hills. The song is sung by Captain Georg Ritter von Trapp as he rediscovers music and a love for his children. Later on in the show it is sung as a defiant statement of Austrian patriotism by the Von Trapp family in the face of the pressure put upon CaptainVon Trapp to join the navy of Nazi Germany.

雪绒花」是剧作家Rodgers以及Hammerstein於1959年所改编的音乐剧《真善美》中的一首曲目，该曲以一种生於阿尔卑斯山上的白花命名；剧中，Georg Ritter Von Trapp上校不但以「雪绒花」一曲表露他对重拾音乐的感动，以及对子女们的爱；Von Trapp上校一家更在他面临被迫加入德国纳粹海军之际，用「雪绒花」这首歌来捍卫他们的爱国之心。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。