迭代过程

Finally by constructing an auxiliary problem, using addition theorem and applying an iterative process based on results obtained for the linear problem, the existence and uniqueness of the weak generalized solution of the nonlinear problem is proved.

解决了线性问题后，本文构造了辅助问题，利用迭加原理，并基于线性问题的主要结论运用迭代过程，最终证明非线性问题存在唯一广义弱解。

The design block diagrams and some actual design results were given.

峁？并指出通过不同的迭代过程实现方向受控的优化过程，是该种设计方法的基本原理。

This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

A b distribution function is proposed to replace the homogeneous distribution function in the particle optimal algorithm. It use a dynamic method to adjust the parameters of b distribution random function to improve the speed and quality of the feasible solution.

提出使用b分布函数来代替均匀分布函数的粒子群优化算法，在产生可行解的过程和迭代过程中动态地调整β随机函数的参数，以提高产生可行解的速度和质量。

Design process of an engineering structure is an iterative modification process.

工程结构的设计过程是一个反复修改的迭代过程。

On the other hand, the design process of composite materials structures is an iterative modification process.

另一方面，复合材料结构的设计过程是一个反复修改的迭代过程。

Based on filtering theory, a residual life predict model is set up according to condition information, and a general formula of parameter estimation is deduced using maximum likelihood estimation, thus, when the life distributing of an equipment is known, the model can be rapidly educed by taking the distribution into the formula is educed, and its residual life can be predicted without complex iterative process is predicted.

利用滤波理论，建立了基于状态信息的剩余寿命预测通用模型，并推导出采用极大似然估计法下参数估计的通式，使得在已知寿命服从其他任何分布形式时直接代入通式便可快速地得出其模型，从而预测其剩余寿命，省去了复杂繁琐的迭代过程。

In building the simulation models for manufacturing missions, based on the combination with the multi-agent method and the GOOPN method, the compoundable method is presented, which makes the models more intelligent. Based on the result above, combined with the GOOPN models and the GERTS model, we put forward EPN-GERTS model through embedding Petri net into GERTS model, which can simplify the complexity in building models, and also improve the defects of GERTS model in describing resource conflicts and Petri net model in building models. In building the simulation models for development missions, the improved GERTS model is present to describe the development processes in QRMS. Through dynamically computing the redo times in GERTS, the improved model can reflect the operation character of development process. The simulation results are more precise when we use the models above.

针对构建快速研制系统的仿真对象问题，提出了基于多Agent的快速研制系统可靠性复合仿真建模方法，增强了仿真模型的智能性；在此基础上，针对制造任务，将Petri网嵌入到GERTS网中，提出了用于快速研制系统制造任务可靠性仿真的EPN-GERTS模型，简化了建模过程，同时也能考虑任务之间的资源冲突；针对研制任务，提出了用于快速研制系统研制任务可靠性仿真的改进GERTS模型，该模型可以描述设计迭代过程的动态运行特点，使仿真结果更加准确。

According to contraction theory, this algorithm is based on gradient descent method, which adopts linear average as performance evaluation of value function. So the iterative process of value function becomes a convergent process to a fixed value.

该算法基于梯度下降法，根据压缩映射原理，通过采用线性平均法作为值函数估计的性能衡量标准，把值函数估计的迭代过程转化为一个收敛于不动点的过程。

This method prohibits iteration disconvergence by improper selection of original data. The iteration process guarantees that the congestion condition of the network will not change. And the solved Nash equilibrium has real sense.

该方法可以在一定程度上避免由于初始值选择不当导致的迭代不收敛，而且迭代过程可以保证网络阻塞状况不发生变化，有利于得到符合现实意义的Nash均衡。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。