证明

In this articl, the background, the thoretical source and the basic content of Cuvis catastrophism are discussed, It is shown that it is not a subjective fabrication by Cuvier, but rather it is inherited from reforming former catastrophic ideas, on the basis of his long-term scientific practic, Therefore it helped to push forward the dvelopment of gology and biology.

本文论述了居维叶灾变论的产生背景，理论来源及其基本内容，证明它并不是居维叶的主观臆造，而是他在长期科学实践基础上对前人灾变思想的继承和改造。因此它对地质学和生物学的发展曾起到巨大推动作用。本文还论述了居维叶灾变论与其它灾变学说的区别；并列举大量现代科学发现证明居维叶所谓的灾变是不可否认的事实，是自然界中具有确定原因的必然发生的历史事件。

Cauchy convergence criteria is proved the convergence and spread the basic method and through this method also launched many simple method, thus the important position of cauchy criterion, this kind of method is obvious superiority of the characteristics of itself, through to judge whether to prove the convergence, and this will bring convenience to the standards for the following summary, and probes into some of the relationship between them.

柯西收敛准则是证明收敛与发散的基本方法，并且通过此种方法还推出了非常多简单的方法，由此可见柯西准则的重要地位，此种方法的优越性也是显而易见的，就是通过本身的特征来判断是不是收敛，这就给证明带来了方便，本文将这几种准则作了以下总结，并且探讨了它们之间的一些关系。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

In chapter 3,we consider the Cauchy problem of transportation equation 〓Which is referred to as the simplification model of gas dynamics equations with constantpressure,and prove the existence and uniqueness of weak solution.

在第三章，我们考虑了运输方程〓，2的Cauchy问题，并且证明了广义解的存在性。最后，我们考虑下列二维Cauchy问题〓通过引进新的广义解定义，证明了解的存在唯一性。这个解可能含〓波。

In Part two, it is proved that, the evolution strategy of uniform distribution for continuous functions, asymptotically converges to the global optimal solutions in probability, by using central limit theorem, under suitable conditions. Then a new kind of evolution strategies is proposed.

第二部分，针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的进化策略是依概率收敛的，然后给出了采用一般连续型随机变量作为变异算子的进化策略依概率收敛的证明。

The bank holds the funds to pay the certified check and will not pay any other checks drawn on the account if such payment would impede payment of the certified check.

银行会扣留证明支票的资金，不支付任何其他会妨碍证明支票付款的支票。

Specific instances of the conduct of a witness, for the purpose of attacking or supporting the witness' character for truthfulness, other than conviction of crime as provided in rule 609, may not be proved by extrinsic evidence They may, however, in the discretion of the court, if probative of truthfulness or untruthfulness, be inquired into on cross-examination of the witness (1) concerning the witness' character for truthfulness or untruthfulness, or (2) concerning the character for truthfulness or untruthfulness of another witness as to which character the witness being cross-examined has testified.

出于攻击或支持证人可靠性的目的，除规则609所规定的定罪判决外，关于证人行为的具体实例不得以外在证据予以证明。但若是为了证明证人可信或不可信，则根据法庭的自由裁量，可以通过对该证人交叉盘问以下两方面事项，予以调查关于证人行为的具体实例：(1)关于该证人可信与不可信的品格，以及(2)关于其他证人可信与不可信的品格，后者的品格在对该证人交叉盘问时曾得到证实。

We prove that the symplectic schemes preserve the charge conservation law exactly and analyze the energy residual. Both the global error and convergence ratio of the numerical solution are of ?

证明了我们构造的辛格式保持电荷守恒，而且分析了它的能量误差，证明了数值解的整体截断误差和解的收敛速度均为？

If applicants can provide a personal check in the sum of at least HK$10000, certification of photocopy of proof of identity and proof of address are not required

如果申请人可以提供一张金额最少为HK$10，000的个人支票，则身分证明文件副本及地址证明文件副本不必经过认证。

It should be proof to constant influences 3% solution of acetic acid, chloramine or any another disinfectant substance, should be proof to chlorine substance.

它应该可以证明不影响三乙酸，氯胺消毒或任何其他物质％的解决办法，应该可以证明氯气的实质内容。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。