条件方程

Under the stochastic demand, one of the key problems for RMS design is how to design the capacity scalability and storage volume. Based on queuing theory, stochastic market demand model for single product family and production model of manufacturing systems were built. The queuing model and the state probability transition graph of RMS were given.

基于排队论方法，建立了单零件族随机市场需求模型与可重构制造系统的排队模型，给出了RMS的排队模型与状态瞬时强度转移图，建立了平稳条件下系统的概率平衡方程，得到了RMS与柔性制造系统的性能指标。

Beginning with wave equation, the paper has deduced the propagation of gauss pulses in single mode fiber and fiber grating transmission compensation. The characteristics of cascaded phase-shift gratings are discussed by numerical simulations of coupled-mode theory and T-matrix method. The experimental works and measurement results are shown in this paper. On the other hand, we have introduced the basic theory of EDFA and figured out the characteristics for EDFA at different conditions by numerical simulation. Some experimental results for EDFA are also presented here. In this article, you can find the influence on Optical Fiber Amplifier by Gain Tilt, especially, the negative effect on CSO in CATV transmission system.

论文首先从波动方程入手，对高斯脉冲在单模光纤中的传播演化及光纤光栅透射补偿进行了详细的研究；较系统地介绍了光纤光栅的耦合模理论，并将传输矩阵计算法用于计算级连相移光纤光栅的光学特性；重点介绍了作者在光纤光栅刻制及特性测量方面所做的一些实验研究工作；较系统介绍了EDFA的基本理论，计算出各种条件下EDFA的光学特性，并进行了一些实验研究；综合分析光纤放大器对光纤传输系统的影响，特别分析了光纤放大器增益不平坦对光纤CATV系统中CSO恶化的原因及其解决方法，并研究了光纤布拉格光栅在稳定980nm泵浦源输出功率和输出波长方面的应用；结合一个基于光纤光栅和光纤放大器的光纤用户接入网方案，对光纤用户接入网的若干问题进行了理论与初步的实验研究。

The optimal curve for pressure vs. time of superplastic bulging of such parts as long trapezoid groove and truncated cone etc. is calculated based on superplastic flow equation σe=kεem and their superplastic deformation pattern.

根据超塑性流动方程和长梯形槽、圆台筒等的起塑性变形模式，计算长梯形槽、圆台筒等在合适的恒应变率条件下胀形压力随时间的变化关系。

The stability condition and local truncation error for the schemes are discussed.

对求解三维热传导方程利用待定参数法构造出一族对称的含参数的，截断误差为O的便于计算的三层显格式，并讨论了其条件稳定性。

One of the important classes is Pritchard-Salamon system with unbounded admissible input operator and output operator. Keulen[4]and Curtain[5] has finished excellent work, but they added smooth condition when they transform the solution of H∞-Control into solving two algebraic Riccati equations.

其中重要的一类是具容许无界输入和输出的Pritchard-Salamon系统，这方面已有Keulen[4]，Curtain[5]等人的工作，不过他们在将次最优H_∞-控制器存在问题转化为相应Riccati方程解的存在问题时附加了"光滑性条件"。

The paper also has discussed how to realize sustainable economy growth and sustainable social development under the condition of sustainable utilization of energy, and has made a concrete analysis of the "learning by doing" economy growth model under the restraint of energy condition.

建立了能源利用的动态变化方程，在经济增长模型中引入能源约束，讨论如何在保证能源可持续利用的条件下，实现经济的可持续增长及社会的可持续发展。

The kinematic equations of the flow of Newtonian fluid in annulus with the inner cylinder executing a planetary motion were transformed using undetermined coefficient method, and the calculation formula of pressure gradient of the flow was obtained with the given flow rate.

利用待定系数法对牛顿流体在内管做行星运动的环空中流动的运动方程进行了变换，得到了给定流量条件下牛顿流体在内管做行星运动的环空中流动的压力梯度计算公式。

At first, using fixed point theorem, we establish the sufficient conditions which guarantee the existence, uniqueness, uniform stability of periodic solutions for the equations.

首先，我们利用不动点定理，建立了保证该类方程周期解的存在性、唯一性及一致稳定性的充分条件。

By Lyapunove method, we obtain some sufficient conditions for solutions uniformlybounded and uniformly ultimate bounded.

然后，为了应用这些结果，利用Lyapunov泛函方法，获得了这些方程解的一致有界与一致最终有界的充分条件。

In this paper,several quasi-Newton algorithms are generalized to a class of new quasi-Newton equation,several modified quasi-Newton algorithm s are obtained and their global convergence are proved under the objective function is uniformly convex.

将几个拟牛顿算法推广到一类新拟牛顿方程，得到几个修正拟牛顿算法；在目标函数为一致凸的条件下，证明了它们都具有全局收敛性。

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。