四迭的

In Chapter 4, existence of analytic solutions of some iterative equations are studied.

第四章研究了迭代方程的解析解。

Figure 11.1 on the facing page illustrates the relationship between these four iterators on a hypothetical vector named vec.

图 11.1 使用一个假设名为 vec 的 vector 类型对象阐明了这四种迭代器之间的关系。

In this paper, a method, which is based on GPS Time system, is applied to synchronize all GIBs. With GPS receiver's 1PPS output , GIB can compensate for the crystal oscillater's drift. 4. Mathematic Model of UGPS Based on the principle of hyperbola intersection, an iterative algorithm and an analytic algorithm are deduced to resolve system equations with four GIBs observations. It can also be used to resolve the approx coordinate with more than five GIBs'observations.

系统的定位数学模型分析基于双曲线观测的定位模型是系统的基本原理，本文对该数学模型的求解进行了详细分析，对于四枚浮标的系统，本文给出了了迭代算法和解析算法求解的推导，同时对于多余四枚浮标的系统，本文给出了最小二乘算法求解推导。

The fourth chapter introduces the realizing process to draw leaf by iterated function system.

第四章说明了利用迭代函数系统绘制树叶的实现过程。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

The method of upper and lower solutions and the monotone iterative technique are used.

研究一类四阶微分方程解的存在性，利用上下解及单调迭代的方法，得出这类四阶方程的最大解和最小解的存在。

The former is an iterative method, and quaternion was utilized to simplify the matrix orthogonalization procedure.

改进的单点估计算法是一种迭代算法，它计算简单，收敛速度快，同时由于采用四元数表示姿态矩阵，简化了矩阵的正交化过程。

Chapter 4 gives an iterative maximum entropy rcgularization reconstruction method using the generalized Shannon entropy as the regularizer.

第四章中论述了使用广义Shannon熵作为正则化函数的迭代最大熵重建方法。

We give different kinds of iterative methods of some quaternion matrix equations,and using structure-preserving property for complexification operator of the quaternion matrices,which analysis and character the convergence of various algorithms.

给出了若干类四元数矩阵方程的多种迭代算法，并利用四元数矩阵复表示运算的性质与保结构特性，分析和刻画了各种算法的收敛性。

It is indicated that theinfluence of the two sort of multiplets is a synthetic effect and does not obey the linearsuperposition theorem; the influence of the quartets plays a leading role; and theinfluence of the doublets on the 6S state is realized by means of the intermediate effect ofthe quartets.

指出两者的影响是一种综合效应，不服从线性迭加原理；四重态的影响占主导地位；二重态对~6S态的影响是通过四重态的中介作用而间接实现的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。