下界

Lastly, the ruin probability of the bidimensional perturbed risk model are studied, whose upper bound of Lundberg-type within infinit-time is obtained and discussed for the case of light-tailed using the martingale technique, the conclusion is gotten that the strength of the dependent of B strongly impact the upper bound can be achieved.

第四章主要研究了带有扰动项的二维风险模型的破产概率，应用鞅论的技巧，在轻尾条件下，求出Lundberg-type在无限时间内的破产概率的上界；并对破产概率的上界进行讨论，获得的相关性的强弱影响着破产概率可达到的上界。

At the same time, the variational stability of bounded variation solutions at the effect of perturbation and non-perturbation for the impulsive differential system are discussed, the Ljapunov type theorems for variational stability and asymptotically variational stability for impulsive differential systems are established.

同时，讨论了在无扰动和有扰动的情况下，这类固定时刻脉冲微分方程有界变差解的变筹稳定性，建立了此类微分系统有界变差解变差稳定性和渐近变界稳定性的两个Ljapunov型定理。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

On the assumption that the constraint field is not empty and bounded, using the branch and bound theory, an algorithm is presented to solve the by branching the upper-level decision variable.

在可行域非空有界的条件下，运用分支定界方法的思想，对上层决策变量进行分支，又提出了一个求解混合整数线性双层规划的分支定界算法。

This invention discloses a preparation method for anti-corrosion rare earth magnet material characterizing that it takes the optimized grain-boundary phase design as the starting point on the basis of a dual alloy method to select Nd base alloy with high crystal forming ability as the assist alloy and reduces the temperature of the press mold blank in a quartz container to room temperature from over grain-boundary phase melting point with the water extraction way to get enough cooling rate and guarantee the non-grain-boundary phase, compared with the material of the same composition prepared by ordinary method, the weightlessness of this invented material reduces over 30% after testing the weightlessness of the material by laying it for 96 hours under 121deg.C, 2 atmosphere and 100% humid environment to show the advanced performance of anti-corrosion.

本发明公开了一种耐腐蚀稀土永磁材料的制备方法，其特征是它在双合金法制备工艺的基础上，以优化晶界相设计为出发点，选取具有较高非晶形成能力的Nd基合金为辅合金，并在烧结回火时将置于耐高温石英容器中的压型坯件，从晶界相熔点以上以水淬冷却的方式降温至室温，以达到足够的冷却速率，确保得到非晶晶界相，根据本发明制得的耐腐蚀稀土永磁材料，通过测量在121℃、2个大气压以及100％湿度环境下放置96小时后材料的失重情况，结果显示本发明得到的材料与常规方法制备的相同成分的稀土永磁材料相比失重减少了30％以上，充分证明其具备了更优越的耐腐蚀性能。可广泛应用于电子、汽车、计算机、电力、机械、能源、环保、国防、医疗器械等领域。

Both the infimum Vm of the Volume Vof M and the necessary and sufficient conditions of "V=Vm" are obtained under 2 cases of minimal M and pseudoumbilical M.

研究了复射影空间CP4中共形平坦的正曲率全实子流形M，分别在M极小与M 伪脐2种情况下，得到M的体积V的下确界Vm和达到下确界的充要条件。

Results show that obduction and napper were main tectonic movements in late Indosinian-early Yanshan period of Lower Yangtze Region, and most areas were elevated and denudated. Source rocks of lower-Paleozoic in some areas did not deep bury renewedly, and remain the Indosinian thermal evolution state. Therefore the high maturity sapropelic organic matter of lower-Paleozoic has still possessed hydrocarbon generation potential.

研究结果表明，晚印支-早燕山期，下扬子区的构造运动以逆冲推覆为主，大部分地区遭到抬升剥蚀，部分地区下古生界烃源岩抬升后晚期没有再度深埋，保留了印支期的热演化状况，因此下古生界高成熟腐泥型烃源岩现今仍具有一定的生烃潜力。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

The Bacteria are divided into two main groups or subkingdoms: the ARCHAEA, or archadbacteria, which often occur in extreme conditions, such as hot springs; and the EUBACTERIA, which include the vast majority of bacteria.

细菌可以再继续划分为两个亚界，一个亚界是古细菌亚界，这个亚界中的很多细菌可以在一些极端环境下生存，例如高温温泉等。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。