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However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言，即使是在初值很小且光滑的情况下，非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性，为此，我们必须在不连续函数空间中寻找上述问题的解，因此对这类问题的研究，我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题，而是通过奇异扰动法构造近似解，由近似解的紧性得到原问题解的存在性。

In the output quality is concerned, the six new products by Fuji Xerox original VCSEL semiconductor laser technology in order to achieve a true 2400x2400dpi hyperfine output resolution.

在输出品质方面，六款新品均采用了富士施乐独创的VCSEL半导体激光技术，达到了真正2400x2400dpi的超精细输出分辨率。

Methods The original articles about cell immortalization and replicative senescence in recent decade were reviewed.

复习近十年有关细胞永生化与复制衰老现象研究的文章，对SV40介导的细胞永生化及其相关因素进行综述。

That the foundations laid down by the Commons, on the trial of Doctor Sacheverel, for justifying the revolution of 1688, are the very same laid down in Mr. Burke's Reflections; that is to say,—a breach of the original contract, implied and expressed in the constitution of this country, as a scheme of government fundamentally and inviolably fixed in King, Lords and Commons.—That the fundamental subversion of this antient constitution, by one of its parts, having been attempted, and in effect accomplished, justified the Revolution.

在审判Sacheverel博士的案件中，国会众院为1688年光荣变革辩护时所阐明的基础，与在伯克先生的《回应》中所阐明的完全一样；那就是说——撕毁这个最初的契约，在我们这个国家的宪法中隐含着或被明确表达的作为依附于国王，贵族院和众院的根本与不可更改的政府框架——对这份古老宪法的根本性的变更，它的一部分曾被试图修改并且实际上已经完成，这证明了光荣变革的正当性。

In chapter one, the original source and recent development of molecular imprinting technology were reviewed.

第一章系统介绍了分子烙印技术的思想来源、发展现状。

He was one of the original investors in Chorus Line.

他不需要钱他是"歌舞线上"的创始投资人

One person, life and death in one breath away from both ends of the original.

一个人，生与死的距离原来就在一口气的两端。

And you may leave your original conclusions in the comments, I look forward to them.

而你可能会离开原来的结论，在评论中，我期待著他们。

I would estimate that about 70% of the original pain in that area is now gone.

我的估计是大约70%的以前的疼痛已经消失。

All of us to think we do anything, you do so in accordance with the original it?

大家想一想我们该去做什么，你还按原来的做下去吗？

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。