递归的

First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

This paper is that dynamically demonstrates the six algorithms implementation auxiliary teaching software of the data structure It may adapt the different demand that the reader demands the algorithm data-in and the process execution control mode.

本论文是一个动态演示数据结构中六个算法执行过程的辅助教学软件，它可适应读者对算法的输入数据和过程执行的控制方式的不同需求，在计算机的屏幕上显示算法执行过程中，可以显现数据的逻辑结构或存储结构的变化状况或递归算法执行过程中栈的变化状况。

This paper is that dynamically demonstrates the six algorithms implementation auxiliary teaching software of the data structure It may adapt the different demand that the reader demands the algorithm data-in and the process execution control mode. During the demonstration of the algorithm implementation on the computer screen, it can appear the change status of the data logical organization or the memory structure change condition or the stack change condition in the recursion algorithm implementation.

本论文是一个动态演示数据结构中六个算法执行过程的辅助教学软件，它可适应读者对算法的输入数据和过程执行的控制方式的不同需求，在计算机的屏幕上显示算法执行过程中，可以显现数据的逻辑结构或存储结构的变化状况或递归算法执行过程中栈的变化状况。

The technical kernel of the system is the multi functional logical operation,which is brought about by developing a series of functions,and these functions are based on the properties of natural languages such as linearity,discreteness,recursiveness and hierarchy,etc.

该系统的技术核心是多功能逻辑运算分析技术，该技术的实现是靠建立一系列的功能函数，而这些功能函数是建立在诸如线性、离散性、递归性、层次性等自然语言的特性的基础之上的。

However it allows edges or elements to straddle between subdomains. In order to be used in conjunction with element-based Godunov algorithm, the RSB algorithm partitions the dual graph of the computational meshes, e.g.

为了将递归谱对分法与以单元为主的Godunov方法结合使用，本文将该方法用于Delaunay非结构网格的对偶图Voronoi图，然后再根据Voronoi图中的结点与Delaunay网格中的三角形单元之间的一一对应关系，得到Delaunay网格的分区。

Firstly, the article expatiates the concept of fuzzy reliability and the relation between random and fuzzy. It presents a list of random-finite element formula that is suitable for the reliability analysis for mechanical rigid frame system. Secondly, it presents two arrangements' reliability analysis methods that fit for component and fabric system. Finally, according to the characteristic of engineering mechanical, the article first brings forward half random-half fuzzy"stress-intensity intermeddle model"for mechanical intensity analysis, and according to Gerber equation for weariness intensity calculation, the article presents fuzzy number's calculating principle and the fuzzy reliability analysis method for engineering structure weariness intensity.

首先阐述了模糊可靠性概念、随机性与模糊性的关系；在导出摄动随机有限元法随机变量的变分原理、随机有限元控制方程和递归方程组基础上，给出了适合于工程机械刚架系统可靠性分析的随机有限元列式；给出了构件和结构体系两个层次的可靠性分析方法；根据工程机械的特点，首次提出机械强度分析的半随机半模糊"应力-强度干涉模型"，并依据疲劳强度计算的Gerber方程，给出了模糊强度的模糊数运算法则及工程结构疲劳强度模糊可靠性分析计算方法，该方法具有简便实用的特点和普遍意义。

The nonlinearity and discrete gradient inherited in CAViaR model is a conundrum for parameter estimation. We take the asymmetric Laplace distribution with scale parameter as the error process; indicate the variance has a minimum positive value when the scale parameter is a constant, conflicting with the distribution of real financial data. Further we estimate the parameters of indirect TARCH-CAViaR model base on Bayesian framework and Markov chain Monte Carlo method. The optimal scale parameter can also be obtained by Markov chain Monte Carlo method.

CAViaR一般模型中递归分位回归方程的非线性和非连续可微性是参数估计的一个难题，基于含有尺度参数的不对称拉普拉斯分布作为误差过程，指出将尺度参数固定为常数会导致不对称拉普拉斯分布随机变量的方差存在最小正值的限制，与实际金融数据分布不符；进而提出采用贝叶斯分析和马尔科夫链蒙特卡罗模拟方法，估计间接TARCH-CAViaR模型的参数，并可获得尺度参数的合理估计。

Aiming at credit risk of loan portfolios in banks, this paper proposes a surplus process of a loan portfolio, and establishes a ruin model with finite and discrete time. Using this model, we derive the ruin probabilities and their recursive equations for the class with single loan amount and the class with multiple loan amounts.

摘 要：本文针对银行贷款组合中的信用风险，提出了贷款组合的盈余过程，得到了有限离散时间下的一个破产模型；并且利用该破产模型推导出单一贷款额结构和多个贷款额结构下的破产概率及其递归公式。

Safety monitoringmodel of Lijiaxia Arch Dam basedon Recurrent Network with bias elements is established, its prediction precision is better than conventional statistical model.

建立了基于带有偏差单元的递归神经网络的李家峡拱坝安全监控模型，其预报精度优于常规的统计模型，为大坝安全监控提供了一条有效的思路和方法

Bash written with MP3 compression program is used to recursively process a directory of all of the audio file.

详细说明：用 bash 写的MP3的压缩的程序，用来递归处理一个目录下的所有的音频文件。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。