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In the computer simulation of FEM software ANSYS, contact surface element is used. Its computation results are compared and analyzed with the results used theoretical computation method of this thesis.

运用大型有限元软件ANSYS进行了数值模拟，桩与土之间使用了接触面单元，并与本文的理论计算方法得出的结果进行了对比分析。

The matrix tensor product computation is important in matrix computation. Compared with its multiplication, the computing amount of tensor product is huger. Based on analyzing its mathematical properties.

0引言在工程设计、数值代数等领域中，许多的计算问题最终会归结到矩阵的计算问题，需要利用并行计算机系统进行大规模并行计算。

The real demand that cloud computation is not an user -- super computation perhaps is a few have a fever to dream friendlily, but to most user, internet just sees the media of news and lacy message, just chat a little pull pull homely tool.

云计算并非用户的真正需求——超级计算也许是一些发烧友的梦想，但对于大多数用户，互联网只是看看新闻和花边消息的媒体，只是聊聊天拉拉家常的工具。

In Chapter 2, we recapitulate some fundamental definitions and propositions of topological degrees and some fundamental results about the computation of topological degrees;in Chapter 3, applying relative definitions and propositions of topological degrees, we establish product formulae of topological degrees in product space, in particular, the product formula of fixed point index on product cone, moreover, combining with the fundamental propositions and the computation of fixed point index, we obtain some fixed point theorems on product cone.

为此，在第二章中，我们给出了拓扑度的基本概念和性质以及拓扑度计算方面的基本结果；在第三章中，运用拓扑度的有关知识，我们建立了乘积空间中各类映射的拓扑度的乘积公式，特别是乘积锥上的紧连续映射的不动点指数的乘积公式，进一步，结合不动点指数的基本性质和不动点指数计算方面的基本结果，得到了乘积锥上的若干不动点定理。

The results indicate the computation result could offer basis and reference for shape design of missle. It has more advantage than traditionary computation methods.

结果表明，计算的气动参数可以为导弹的外形设计提供依据和参考，与传统计算方法相比有一定的优越性。

The computation of the hydrodynamic interaction between a truncated cylinder and a spheroid and the one between ISSC TLP and a barge indicates that the major reduction in computation time and required memory is achieved, which makes it possible to perform multibody hydrodynamic analyses on personal computers with the precorrected-FFT method.

圆柱与椭圆半球间以及张力腿平台与箱形驳船间的水动力相互作用计算结果表明，采用pFFT方法，计算时间与占用内存大幅度减少，这使得在PC机上进行多体水动力分析成为可能。

Two kinds of Unitary transitions are proposed to transfer complex-valued matrix computation to real-valued matrix computation.

给出了两类酉变换矩阵，将复数域的矩阵运算转换到实数域。

In some sense, cloud computation is the further progress with reseau computation automatical model.

从某种意义上说，云计算是网格计算模型自然而然的进一步发展。

As we all know, In order to adapt to the needs of national economic constructions,To solve the problem of river traning in the land management,the computation of water conveyance losses in the water conservacy constrution,the flood computaton in the Flood Prevention,the Hydrological Computation when bridge design of bridge in the highway and railway constructions, and the roughness of the river channel is a important parameter in the Hydraulic calculation, many scholars commtted to the roughness of the river floods.

为了适应国民经济建设的需要，解决国土整治中的河道治理，水利建设中的输水损失计算，洪水计算，公路、铁道建设中的桥梁设计都涉及到水力计算，其中糙率是水力计算中的重要参数，很多学者致力于河流洪水糙率的研究。

Taking a example for verilying the feasibility and computation precision of the approach,the computation results show that the PSO-based approach is a useful tool for solving such nonlinear optimization problems as cylindricity evaluation with complicated goal function and more parameters. It is superior to that given by the Least Square Method and a little better than or equal to those given by GA-based method and another Minimum Zone Method.

计算结果表明，该方法对于圆柱度误差评定这类具有复杂目标函数和较多参数的非线性优化问题有很好的计算性能，优于最小二乘法；与遗传算法和其它满足最小区域条件计算方法相比，计算精度略优于前者或者与前者相当，能够获得精度较高的结果，而突出优点是简单，易于实现而且计算效率较高。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。