中分

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 this paper, the fractal theory in computer graphics applications, Fractal - based simulation of natural phenomena technical studies on coniferous tree leaves generation simulation technology.

本文研究了分形理论在计算机图形学中的应用，基于分形的自然景物模拟技术研究中关于松柏科树叶模拟生成技术。

To solve the accuracy and the recognizing effect problems for fingerprint matching in the progress of fingerprint recognition, and considering the triangulation of cupidity algorithm in computational geometry and leading it into the fingerprint matching, a method for fingerprint matching which based on trigonometric grid is proposed.

针对指纹识别过程中的指纹匹配算法的准确性以及识别效果等问题，结合计算几何中平面点集的三角剖分方法－贪心算法的特点，将其引入指纹匹配处理，提出了一种基于三角网格（用贪心算法进行平面点集的三角剖分）的指纹匹配方法。

Using finite difference time domain method, the electromagnetic field distribution of THz wave is simulated in a THz 2D PC splitter and by plane wave expansion method the dispersion relation and defect modes are achieved in a THz rotated PC waveguide.5. A woodpile three-dimensional (3D) PC with face-centered-tetragonal symmetry is one of the most popular 3D PCs because of its favorable band gap characteristics. Based on the woodpile fct lattice structure, we propose a novel woodpile THz lattice structure with comparatively decreased symmetry, better band gap properties and easy fabrication by varying some structure parameters.

计算结果为利用非线性光学差频方法产生THz辐射源的实验研究提供了深入和全面的理论基础；四、利用平面波展开法，通过改变二维THz光子晶体的结构参数，对二维THz光子晶体完全带隙进行了优化，分析出两种适合工作在THz波段的二维光子晶体结构；采用时域有限差分法和平面波展开法，计算出THz波在二维光子晶体"T"型分束波导，45度旋转波导中传输的电磁场分布以及缺陷模；五、Woodpile面心立方四角结构是三维光子晶体中被研究最广泛的结构之一。

In discrete operator difference method, the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not.

在离散算子差分方法中，无论单元位移函数是否协调，其位移函数均能在离散格式中得到十分好再现，说明了离散算子差分方法的离散格式是一种性能很优良的离散格式。

In moving and change detection, an algorithm is put forward which combines the advantages of background difference and sequence difference, in order to detect moving and changing objects in sequential images.

在运动检测中，结合了背景差分和时间差分的优点，检测出视频序列图像中的运动变化物体。

Greetings to you, Sharon and Principal Zhang from all at Dulwich; please apologise to Principal Zhang for me writing via you, but all our Chinese speakers are on holiday and I have nobody here capable of translating this letter.

同时，另外一位德威的该校学生张俊杰在他所有 AS 考试中都取得了第一，尤其是在满分是600分的数学考试中获得了罕见的592分的高分。我们期待着张俊杰能顺利通过今年十一月份的剑桥大学面试。

This paper presents a new fractional block coding approach with concept of fixed vector. The approach uses lineral combination of fixed vector in image flat, and it adopts hierarchical thought about fractional coding.

将固定矢量的概念应用于分形块编码中，对图象的平缓区进行固定矢量的线性组合编码，并且在分形编码中，采取了分层处理的思想。

Forexample, the group 2, 4 and 10 of BOX-PCR were good agreement with group 5, 13 and12 of numerical analysis, and the group 3, 4 and 8 of RAPD were equal to group 6, 12and 8 of numerical analysis, and the group 5, 6 and 8 were identical with group 6, 12 and8 of numerical analysis, which indicated the 4 methods used could reveal the biodiversityamong the tested free-living nitrogen fixation strains.

总的来说，本研究所采用的表型分群和遗传型分群的结果在总体趋势上是一致的，BOX-PCR的群2、4和10分别与数值分类中的第5、13和12表观群一致；RAPD的群3、4和8分别与数值分类的群6、12和8相对应，16S rRNA PCR-RFLP中的群5、6和8则数值分类的群6、12和10完全吻合，说明本实验所获得的研究结果可信。

The thymus is located on the edge of the gill cover close to the opercular cavity, triangle, is distributed symmetrically. Lobules of thymus are more evident along with increasing age.

观察到鳜胸腺位于鳃盖与背的联合处，呈三角形，对称分布；胸腺实质随年龄增长分叶逐渐明显，大体可分三个区，外区、中区和内区，中区和内区分别相当于哺乳动物的皮质区和髓质区。

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。