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Gerber and Shiu (1998a) and Tsai and Willmot (2002) all consider the renewal equation for the expected discounted penalty function at ruin Ф and its decomposition in this risk process. In their proceeding, they assumed the twice continuous differentiability of Ф,Ф〓,Ф〓 as a premise but its proof isn't obvious.

Gerber and Landry（1998）及Tsai andWillmot（2002）考虑了此模型下的破产时罚金折现期望Ф所满足的更新方程及其分解后的因子Ф〓和Ф〓，但它们的推导过程都是在假定Ф，Ф〓，Ф〓连续且二次连续可微的前提条件下进行的，但实际上此前提假定的成立并非显然。

Modern project structures are proceeding at the direction of maximization, complication, automation and continuousness.

摘要现代工程结构正在向大型化、复杂化、自动化、连续化方向发展，复杂的服役环境使结构的运行安全受到威胁。

In the pathological proceeding of pulmonary fibrosis, myofibroblast plays an important role, such as: the abnormal extracellular matrix deposition causing by the remarkable capability of collagen synthesis, derogation of the lung compliance owning to the contractibility of myofibroblast,secreting many cytokines,which contribute to the damage of the alveolar epithelial cells.

肌成纤维细胞在PF的病理进程中扮演着重要的角色，其胶原合成能力强可造成细胞外基质的异常沉积、具收缩性使肺顺应性下降、分泌多种炎性介质加重肺泡上皮损伤。

In a proceeding for enforcement, the court shall issue an order requiring the appearance of the witness or the production of the evidence or data within a reasonable time under penalty of punishment for contempt in case of contumacious failure to comply.

在请求强制执押的诉讼中，法院应签发命令，要求证人在合理时间内出庭或要求有关人员在合理时间内交出证据或资料，并对拒不执行者以藐视法庭罪予以处罚。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

And at last with proceeding pursuit, Copland realized his ideal of aesthetics——completed writing real, well-known"American Music".

科普兰也最终实现了他所追求的美学理想——写出真正让世人认知的"美国的音乐"。

The defendant (especially in a divorce proceeding who is accused of adultery with the corespondent).

被告（特别是在离婚诉讼中被指控与共同被告有通奸行为的人）。

Each sign has 30 degrees, proceeding counter clockwise.

每个注册了30度，程序计数器顺时针。

In chapter three, the author analyzes the effect of the admission which is the core of the problem of admission. First of all, introduce the common effects in the general proceeding, and then, analyzes some problems such as the restriction and the countermand of the admission which are not regulated in our country.

第三章分析了自认规则的核心内容即自认的效力，首先介绍了经普遍认同的自认在诉讼程序中的一般效力，接着对我国立法并未明确规定的自认效力的限制和自认的撤销等问题进行了分析。

The third part participates the counterplan proceeding of the public policy establishment to the public creative.

第三部分对公众参与公共政策制定的对策进行创新。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷