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It is revealed that in the condensates, the different configurations of order parameters lead to different topological structures-velocity field vortex lines, Mermin-Ho vortex lines and monopoles, and these three topological structures can all be characterized by the Hopf indices and Brouwer degrees of φ-mapping, and their locations and motions also be rigorously determined by φ-mapping theory.

文中指出，在凝聚体中，序参量的不同位形导致了不同的拓扑结构—速度场涡旋线、Mermin-Ho涡旋线和单极，而这三种结构都可由Φ-映射Hopf指标和Brouwer度所表征，并且它们的位置和运动亦可由Φ-映射理论严格确定。

Furthermore, in light of the φ-mapping theory the SU (2) Chern density is expressed as δ, and the zero points of 〓 field are characterized by the φ-mapping topological numbers—the Hopf indices and the Brouwer degrees.

进一步，利用Φ-映射理论作者证明SU（2）陈密度可表达成δ的形式，并阐明Φ场零点的拓扑特征可由Φ-映射拓扑数—Hopf指标和Brouwer度所表征。

Secondly,as an application ofφ-mapping topological current the-ory,the vortices in TDGL model have been studied.Some importantartificial hyperthesises in other theories have been changed into naturalresults ofφ-mapping topological current theory.The inner structureof vortices system in the TDGL model has been obtained in terms oforder parameter field.For the first time,the branch process of thevortex system in the TDGL model have been discussed.

其次，作为Ф-映射拓扑流理论的重要应用，本文研究了TDGL模型的vortex动力学，对过去该模型中的一些人为假设给予了合理而严格的理论基础，用序参数的Hopf指数和Srouwer度表征了拓扑荷，建立了该系统拓扑性质的新理论，并首次探讨了TDGL模型中的vortex的分岔过程。

Different ways of mapping the IP cores to the underlying topology lead to different overall system performance and energy consumption. To find an optimal mapping of application to 2DMesh network, a model which describes the application must be found.

为此对2DMesh网络建立模型，寻找和设计高效的映射算法，使得片上网络在优化映射下充分发挥网络的并发计算资源，提高系统的性能，提高系统的实时性，降低系统的功耗。

In the forth chapter, the convergence problem of three Ishikawa and modified three Ishikawa iterative sequences under uniformly continuousΦ-strongly pseudo-contractive mapping and approximating pseudo-contractive mapping is

第四章主要讨论了三重迭代序列以及修改了的三重迭代序列在一致连续的Φ-强伪压缩映射、渐近伪压缩映象下的收敛问题，给出了其判别准则和结论描述。

A vertex mapping of graph is a binary mapping from to , that is,.

定义在图上的顶点映射是到上的一个二元映射，即。

In this paper, we have estabished the closed convexities and connectedness of the cone weak subdiffrerential of limit mapping of set-valued mapping sequence.

在文[，4]基础上，给出了集值映射序列的极限映射的锥弱次微分的闭凸性和连通性。

Multi-beam swath bathymeter is a seafloor mapping equipment with high efficiency,high accuracy and excellent resolution,especially fitted for wide sweep mapping.

我国已有的多波束测深仪是一种高效率、高精度、高分辨率的海底地形测量设备，特别适合大面积的扫海测量作业。

Multi-beam swath bathymeter is a seafloor mapping equipment which has high efficiency of measuring, high precision of measuring, high resolution of measuring. It fits for wide sweep mapping especially.

多波束条带测深仪是一种具有高测量效率、高测量精度、高分辨率的海底地形测量设备，特别适合于大面积的扫海测量作业。

Through the experiment, carries on the appraisal with the different digital image quality evaluation method to the digital mapping cameral image quality, obtain some image quality situation like uniformity gradient、entropy、 MTF and so on under the different appraisal target Through this topic research I have a system understanding to the quality evaluation of digital mapping cameral image .

通过实验，用不同的数码影像质量评价方法对数码航摄影像质量进行评价，获得在像元均匀梯度、信息熵、MTF等不同评价指标下的影像质量情况。通过本课题的研究使我对数码航摄仪影像质量评价有一个系统的了解。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样