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The necessary condition of an important result of the probability that the supremum of a random walk with heavy-tailed increments crosses a curve on a random time interval is presented by using an important property of a general distribution class.

利用一类常见分布族的一个重要性质，给出了增量带重尾分布的随机游动在随机时段内的上确界超越曲线边界的概率的一个重要结果的必要条件。

The symmetric algorithm is a traditional algorithm, it is easy and efficient, and so it is still being popular used. The stream cIPher and the block cIPher are two part of the symmetric algorithm. The symmetric algorithm uses the key to control the key stream generator, and then the generator produces a random stream. We can get the cIPher by xor the message and the random stream by bit. In the field of communication and code, the stream cIPher has always been the key cIPher of the military affairs and foreign affairs.

对称密码体制分为序列密码和分组密码两类，序列密码以密钥控制密钥流发生器，产生一随机序列，用这个随机序列和明文信息逐位异或，就得到密文，其加密单元为比特。

The frame adopted for this survey was the telephone listings for the Taiwan Area. In order to avoid being unable to select those residences with unlisted telephone numbers, we first took a systematic random sample of telephone numbers, and then replaced the last digit with a random number. Respondents were chosen from within the selected household according to a set intra-household sampling procedure. The target for this survey was 1200 successful interviews.

本研究以台湾地区住宅电话簿作为抽样的母体清册，为避免未在电话号码簿上登记的用户无法被抽中进行访问的情形，抽样时首先依系统抽样的原则抽出某一电话号码，再以随机乱数取代此号码的尾数，作为访问的样本户，访问时再由访员依户中抽样的原则，抽出应受访的对象进行访问。

DNA fingerprinting for Taraxacum mongolicum and its adulterants of six species of Compositae was demonstrated with random primed polymerase chain reaction including arbitrarily primed PCR and random amplified polymorphic DNA.

采用分子生物技术包括任意引物聚合酶链式反应和随意引物扩增的多态性DNA方法扩增蒲公英及其6种土公英混淆品的基因组DNA，获得清晰可靠的DNA指纹图谱。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

First, the time series model of the random road roughness running by construction machinery is built up based on the measured data of the random road roughness and by means of the basic theory and method of the time series analysis. A real-time parameter estimation method of fuzzy weighted recurrence least square algorithm is represented through analyzing the conventional recurrence least square algorithm. Then, the new recurrence algorithm and the on-line tuning method of the weighted matrix are given out, and computer simulation is performed.

首先，以实测的地面随机不平度数据为依据，应用时序分析的基本理论和方法，建立了工程机械行驶地面随机不平度的时间序列模型，并在分析传统参数估计方法递推最小二乘算法的基础上，提出了模糊加权递推最小二乘算法的参数实时估计方法，给出了在此基础上的递推算法及加权矩阵的实时在线整定方法，并对其进行了计算机仿真研究。

Chapter 2 investigates the convergence of triple and n -ple Dirichlet series, the convergence of triple random Dirichlet series under certain conditions, and the convergence of double bi-random Dirichlet series under the conditionand obtains some results similar to double Dirichlet series.

此外还在条件 sum from m=1 to +∞ sum from n=0 to +∞ P{|X_|≥m~pn~p}＜+∞下，研究了二重双随机Dirichlet级数的收敛性，得到了一些类似于二重Dirichlet级数的有关结论。

The algorithm handles the objective function and constraints separately, and adopts both directional and random search mechanism. It can avoid falling into local optimal point, which may appear in previous bionics random algorithms due to uncertainness of some parameters and/or without guiding search direction.

该算法将目标函数与约束条件分开处理，采用兼具方向性和随机性的搜索机制，避免了已有仿生类算法由于一些参数难以确定和无引导性的搜索方向而陷入局部最优的问题。

By Karhunen-Loeve expansion, the random processes of physical parameters such as the channel length and the oxide thickness with spatial correlations are transformed to a set of uncorrelated random variables.

利用卡洛展开(Karhunen-Loeve expansion)将通道长度和氧化层厚度这类具有空间相关随机过程的物理参数转换成一组无相关性的随机变数。

Structural reliability usually is analyzed in Descartes coordinates in which the correlated random variables should be converted to uncorrelated random variables by an orthogonal transformation method.

针对正交空间内，对相关随机变量的可靠指标求解时，需要做正交变换的缺点，研究了广义随机空间内结构可靠指标的计算方法，首次提出了广义随机空间内结构可靠指标计算的随机有限元法。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"