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On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface.

该方法基于单位分解思想，在位移插值形式中引入不连续函数和裂尖渐近位移场函数分别反映接触面的不连续性和接触面端点的奇异性；根据虚功原理建立有限元支配方程，接触面不连续函数积分采用分区高斯积分的方法。

We proved that the two everywhere-smooth sub-maps those formed each system model were area-preserving, but their discontinuously concatenations were not necessarily conservative.

我们证明构成每个模型的两个处处光滑的子映象都是保面积的，然而他们不连续地链接得到的联合映象却不一定是保守的。

By studying the relationships between the sub-problems of distribution system, a model of distribution network designing with inventory control in competitive environment is proposed, which based on discrete model of two-echelons distribution network.

深入分析了在竞争环境下分销网络中各子问题之间的关系，建立完全竞争环境下两级分销网络的设计模型，该模型是在两级分销网络离散模型的基础上，将市场竞争因素考虑在内，进一步完善分销网络的设计模型。

According to mapping relationship between information set and discrete point set, every user was entitled to access an information sub-set. Therefore, a correspondent template was activated, and it was used to encapsulate manufacturing information for the users.

根据信息集与离散点集之间的映射关系，从用户的权限区域映射出用户有权限的信息子集，被该子集激活的制造信息模板的实例将最终用于制造信息的共享。

In this study, we find that there are two problems when applying the techniques of discretization to obtain an approximated probability density function of the project completion time in stochastic activity networks. Namely, first, there exists neither exact data structure nor systematic scheme for the computer programming when applying the techniques of discretization; and second, error may arise from assuming independency between sub-paths in the activity network.

本研究发现在运用文献中的散式计算技术，求算随机性专案完成时间的机分配函时，存在个问题：第一，文献中既未提供明确的资结构也没有系统化的架构，足以将其转为计算机程式；第二，因为文献中的散式计算技术，皆假设随机性专案网中的各条子径彼此独，而造成明显的误差。

The experiments show the frame of CGMM-UBM can make better use of the training data and the mixtures of the models are fewer and the efficiency of models training is higher. The CGMM-UBM system also gets better recognition results and is robust to noise. The system is more suitable for the speaker verification with short speech. Since the SVM based fusion is trained with two class data, it has better discriminability and can elaborately reflect the relation between the sub-systems.

实验表明，CGMM-UBM结构能够更为充分的利用训练数据，模型混合度可以较低，并且具有较高的模型训练效率，同时系统也获得了较好的识别性能与噪声鲁棒性，适于短语音情况下的说话人确认。

For the specification of the dynamic architecture of the system, the sub-function is designed as an abstract function with dynamic characteristic, which has a life-cycle of four phases: instantiation, establishment, execution and disestablishment.

为描述系统的动态结构，本文将子功能设计成一个具有动态特性的抽象功能，它有实例化、初始建立、功能执行和功能结束这样一个生命周期。

This enhancing mode constructs a disjunctive normal form on concept expressions and keeps only one conjunctive clause, and then substitutes the obtained succinctest conjunctive clause for sub-concepts set in the labeling of nodes of a completion tree constructed by the tableau algorithm (such a process may be repeated as many times as needed).

该增强方式对概念描述先构建一个析取范式，并只保留其中的一个合取子句，然后用这个获得的最简的概念合取子句去取代传统tableau算法构建的完整树的结点标记中的子概念集（这个过程根据需要可重复多次）。

For example, hard disk 1gb only sub-district, then the cluster size is 32kb, that is to say, even if a file is only 1 byte long, 32kb storage must also account for the hard disk space, and the remaining space will be where all the idle, so has led to great waste of disk space. greater support fat16 partition, the disk capacity of each cluster is also greater, resulting in greater waste.

例如1gb的硬盘若只分一个区，那么簇的大小是32kb，也就是说，即使一个文件只有1字节长，存储时也要占32kb的硬盘空间，剩余的空间便全部闲置在那里，这样就导致了磁盘空间的极大浪费。fat16支持的分区越大，磁盘上每个簇的容量也越大，造成的浪费也越大。

Therefore , rescuing the innovatory power of youth sub-culture from its abnormal form and overcoming its negative results of crime and disorderliness will be a great challenge to be faced with both cultural sociology and criminology .

将青年亚文化运动所蕴涵的创造力从其反常形态中拯救出来，克服其犯罪，越轨和无序的消极后果，不仅是社会文化学所必须正视的问题，也是犯罪学所遭遇的重大挑战。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。