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The main advantages of the methodare that(1)this method is valid for all kinds of bifurcation pointswith the codimension ≤3;(2)it does not use any informations forsecond order derivatives and does not need the bifurcation point to beknown accurately in implementation;(3)it is sufficient to implementthe method that a standard continuation procedure is only used;and(4)derivation of the method is independent on the asymptotic expan-sions of the bifurcation solutions.

这种方法的主要优点是：(1)适应于一切余维数不超过3的分支点；(2)不需要任何二阶导数的信息，也不必精确地知道分支点的位置；(3)只需使用标准延拓软件就可以实现；(4)方法不依赖于分支解的渐近展式。

To give a solution, Kripke introduced ""community"", he alleged that ""to ascribe a rule to somebody"" depended on others' agreement , it is a conventionalism.

为了克服这个困难，他引入"共同体"来谈遵行规则，主张遵行规则依赖于"同意"，这样便把规则建立于约定论的基础上。

Then the similarity between them is calculated based on this distance matrix. To validate this retrieval approach, we test it on a database containing about four hundreds motion clips which can be divided into various kinds of human movements. The experimental results demonstrate the effectiveness of our approach.

实验结果表明，与现有大多数基于内容的三维人体运动数据检索方法相比，该方法能够取得更好的时间效率且不依赖于任何预先设定的参数，相对于现有基于关键帧的运动检索技术而言，其能够获得更好的检索效果。

According to the fast equilibrate assumption, a complete mathematics description was presented for elucidating the zymogen inter-autoactivation process, which can be used to determine the activation rate constant.

通过对酶原自激活的全过程的分析，给出了普遍适用的动力学方程，由于该方程的推导是建立在快速平衡假设的，因而可以不依赖于初始酶原浓度远大于酶浓度的条件。

However, the small skills they employ are too fragmental to be popularized among the teachers.

然而他们所用到的一些技巧或方法往往依赖于他们所特定的环境，着力于动机和兴趣方面的培养，零碎而缺乏系统性，难以在教学中得到推广运用。

Francia Story,"Buddhism as World Religion"

因为它不依赖于追求原始思想的有限概念，也不仰仗于自身对思想进行否定的能力。

To overcome the difficulty caused by the fact that the Lax pair depends on thesolution of the equation as |k|→∞,we write the Darboux matrix with N-poles inthe form:〓,where factor 〓 is a gauge transformation which isindepent from k and 〓 tends to the unit-matrix I as |k|→∞.

为了克服当|k|→∞时，Lax对仍依赖于方程的解所引起的困难，我们把含N对极点的Darboux矩阵〓分解为两部分：〓，其中〓为与参数k无关的2×2矩阵，它相当于一个规范变换。而〓当|k|→∞时趋于单位矩阵I。

However,the number of the LmPRM is very poor in the actual applications.The reasons of baffling their wide application have many aspects, hereinto includes:since the variety of mechanism type,difficult to select an optimal mechanism solution for a operation task;the performance indices depend on their topological limb types,the actuated layouts,and design parameters, such that their design is a difficult task.

然而实际在用的并联机器人机构的数目却非常少，阻碍其广泛应用的原因有很多，其中包括：机构类型的多样性，难以选择适合于操作任务的最佳机构方案；机构的性能指标依赖于其拓扑类型、驱动布局和设计参数，难以设计。

We should expect to find that they would, out of respect to immemorial usage in the case of marriages within the tribe, celebrate even their intertribal marriages — though really brought about by sale and purchase — by such ceremonies as had been customary among them in marriages between members of the tribe.

那么现在让我们假定存在这样的部落，组织于我们将称为，因为缺乏一个更好的名称，异族结婚的原则之上——即部落内禁止结婚（prohibited marriage within the tribe）——那么其部落男人因此依赖于其他部落得到他们的妻子。

Fair enough, but such is Mr MacCulloch's preference for the heretical over the orthodox that a reader who relied on him alone might struggle at times to work out what the mainstream Christian view was, despite learning lots about those who were against it.

这是人人都应该懂得的道理，但之于早期的基督教，这些正是马克库罗奇先生偏向异端学说的地方，致使仅依赖于他的读者也许时而要煞费苦心去弄明白什么才是真正的主流基督教观念，尽管在此过程中也能学习到一些异端学说。

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。