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Institute of Statistics and Actuary, Shandong Economic UniversityAbstract We consider the risk process perturbed by diffusion under interest force in this article. The integral expressions, continuities, twice continuous differentiability and integro-differential equations about $F_{\delta}$, the distribution of the surplus immediately before ruin, and $H_{\delta}$, the joint distribution of the surplus immediately before ruin and the deficit at ruin are obtained.

我们考虑既带有随机干扰又带有确定投资回报的风险过程，得到了破产前瞬间盈余的分布$F_{\delta}$及破产前瞬间盈余和破产时赤字的联合分布$H_{\delta}$所满足的积分表达，连续性及二次连续可微性和积分--微分方程。

Consider the convex programming problems min, s. t. g≤0(i=1, 2,…, m), where x∈R and g: R→R are twice continuously differentiable convex function.

对于凸规划问题min，s.t.g≤0(i=1， 2，…， m)，其中，x∈R；f，g：R→R为二次连续可微凸函数。

We consider the cubic Hermite-Pade approximation and give the contour integral representations of coefficient polynomials.

研究了三次Hermite-Pade逼近系数多项式的围道积分表示，利用鞍点法得到了这些多项式的渐近估计。

With this kind of ink for the most important task is to consider its contractility.

用这种油不朱最次给的不离是思考其关上本领。

A review conference of the full ICC Assembly will convene in 2010 to consider this and other amendments.

审查会议的全部国际商会大会将召开在2010年考虑这个问题和其他的修正案。

Many people consider running is a way of sport, because it's simple and conveniency, and is the good way to keep fit.

另一方面来说，如果某种日用品生产过多会减少它的成本，这也将导致生产商提供的供给，这也就会使价格变低购买的人也自然会变多。

The realists consider that logic is discovered,while the conventionalism has the answer that logic is invented.

实在论者认为逻辑是发现的，约定论者认为逻辑是发明的。

By analysis of such models, a method, which is used to find out the region of convergence and to study the local stability for strong nonlinear system, are derived. Thus, we can consider the strong nonlinear neural networks using such method.

利用新的比较方法，考虑了具变时滞和常恢复率的同质人群HIV梯度传染病模型，得到了一个阈值，当阈值小于1时，疾病消除平衡点全局指数渐近稳定，当阈值大于1时，传染病平衡点存在唯一，同时得到该传染病平衡点局部指数渐近稳定的充分条件。

In this paper we present a converse Lyapunov theorem for globally uniform asymptotically controllably switched systems.And we consider general nonlinear switched systems.

本文对一类全局一致渐进能控的非线性切换系统的控制Lyapunov函数的存在性进行了研究，证明了一个非线性切换控制系统如果是一致全局渐进能控的，那么存在一个公共的控制Lyapunov函数。

In all I would consider my conversion to be very successful.

总的来说，我认为我的转变过程非常成功。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。