证明性的

Noindent \hskip 20pt In chapter two, we prove the existence and multiplicity results of some nonlinear biharmonic equations by using lower semicontinuity method and minimax method.

在第二章中，通过下半连续方法和极大极小方法，我们证明了一类非线性双调和方程解的存在性和多解性的结论。

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 chapter 1, we discuss several iterative methods and their convergence conditions. While, we also present the techniques in proving the convergence theorem.

第一章，主要对几种迭代法的收敛性进行了讨论，总结了它们的收敛条件及证明各种迭代法收敛性的技巧。

It has good abrasion resistance and it's a new experiment for enhancing abrasion resistance of the crusher hammer.

磨损试验证明锤头具有良好的耐磨性，是提高破碎机锤头耐磨性的一种新尝试。

This kind of immunosuppression may be im- proved by administration of indomethacin in vivo.

进一步研究则证明，分裂原反应性的恢复与该药对抑制性巨噬细胞活性的阻断有关。

In this paper, a decision method as well as the proof for existence of vector-valued rational interpolants are given, and the expression of the rational interpolants' numerator and denominator are given.

这里利用标量有理插值函数插值存在性的思想，引入Newton基函数，给出并证明了向量值有理插值存在性的一种判别方法。

The paper, based on insistence with the conceptions of legal truth, discretional evaluation of evidence and due process, makes the proposition of restructuring the...

本文通过比较两大法系行政诉讼证明标准的特点及赖以存在的正当性基础，在坚持法律真实、自由心证和正当程序理念的基础上，提出在区分一般情况和特殊情况的前提下，重构我国行政诉讼证明标准体系的建议。

Secondly, by the analysis of influencing factors of collapsibility of loessal foundation, results indicated that at the basis of the grey incidence analysis on influencing factors of collapsibility of loessal foundation,the void ratio is the superior and steadily influencing factor of collapsibility at all events and other influencing factors will have different degree of influence according to the specific conditions of loess foundation.

通过分析影响黄土湿陷性变形的因素，对于湿陷变形因素的关联分析，可以看出土性指标对湿陷性的影响程度，孔隙比的影响比较突出，基本上可以认为是在土性指标对湿陷性的影响程度中最大的，其它指标会因土质含量、黄土的类型不同而影响各异。总之，本文应用灰色系统理论的关联分析法对应用广泛的工程实用模型变形计算方法做一些因素分析、进行反思，同时证明了弦线模量法计算沉降是值得大力推广的，弦线模量法计算沉降在将来的工程实践中必将带来更为可观的社会经济效益。

This approach is valuable for genes whose existence is implied by genetics, but whose nature is unknown. One example is the gene zfy located on the human Y chromosome. Figure 2.17 shows a zoo blot using a probe from this region. It hybridizes specifically with sex chromosomes of mammals and also with

这个方法对于那些通过遗传学已证明存在的，但其性质还未知的基因是很有效的，例如人Y染色体上的zfy基因，它可以和哺乳动物或其它一些物种的性染色体杂交，且包含一个可译框，于是证明它是一个保守基因。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

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。