迭

In chapter 2, we deal with boundary value problems of the first order functional differentional equation with impluses, some results of the existence are obtained by using the monotone iterative technique and methods of upper and lower solutions.

第二章讨论一阶脉冲泛函微分方程的边值问题，在合适的条件下利用单调迭代法和上下解方法，获得了若干解的存在性结果。

This is typically an input iterator, or functor.

典型是一个输入迭代器或仿函数。

This article expands the concept of my second article to allow a functor to pick out objects to be returned during iteration.

本文扩展了我的第二篇文章的概念，让一函，挑对象将在迭代产生。

The functor decides whether a node will be returned in a particular iteration or not.

该函子节点决定是否将某一迭代或没有回来。

The most fundamental property of any algorithm is the kind of iterators it expects.

算法最基本的性质是需要使用的迭代器种类。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下，得到了随机泛函微分方程的解的先验估计；再结合一致Lipschitz条件，通过构造Picard迭代序列，利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式，得到该方程的解在区间[t0，∞]上是存在且唯一的。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

According to theory analysis and example computation, the following conclusions are obtained.1. During the analysis on the cable shape in the suspension bridge"s completion state, the pre-displacement of saddle and the case that the cable and stiff girder commonly bear the second-stage dead load should be considered.2. When supposing the construction ideal initial state in the first time, if the initial state model is established according the cable"s span central sag in the bridge"s completion state, and the reasonable correction formulation is created in the iteration process, the result can converges fast.3. The cable shape in the bridge"s completion state is not parabolic, nor catenary. It is between parabola and catenary. Actually it is funicular polygon closer to the catenary.

通过理论分析和实例的计算表明：1在悬索桥主缆成桥线形分析过程中，须考虑主塔鞍座的偏位以及二期恒载由主缆和加劲梁共同承担的实际情况；2在第一次假设施工理想初态时，以成桥状态已知的主缆跨中垂度建立施工理想初态模型，同时在迭代计算的过程中，建立合理的修正公式，才能使收敛的速度快：3在成桥状态时主缆的线形既不是抛物线，也不是悬链线，而是介于抛物线与悬链线之间，更接近于悬链线的索多边形。

The female gametophyte of flowering plants may have evolved through iteration of a modular structure and a gradient of the hormone auxin.

开花植物的雌性配子体可以通过模块结构的迭代和生长激素的梯度进行演化。

The application of traditional H∞ control theory in power systems demands to optimize Gamma iterative problem.

指出传统的H∞控制理论在电力系统中的应用需要计算Gamma迭代的优化问题。

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。