查询词典 stochastic

It also gives the definitions and stochastic properties of pure random process, random walk process and AR(1) autoregressive process, and analyses the simulative data of three typical random processes using wavelet analysis, frequency spectrum analysis and time-correlation analysis. The stochastic properties of time series and the trend component, the time length of time-correlation and the properties of main frequency of these three typical random processes are summarized as the templates for further research.

给出了包括纯随机过程、随机游走过程和 AR(1)自回归过程等在内的基本随机过程的定义和统计特征，并运用小波分析，时间相关和频谱分析对这三种基本随机过程的模拟数据进行分析，归纳出它们在时序上的随机特征、低频信号趋势项特征、时间相关的长短以及主频信号的位置等特点，作为研究 GPS 接收机误差和多路径效应的随机特征的模板。

In part 2, we study the properties of the solution z of backward stochastic differential equation and backward doubly stochastic differential equation.

第二部分分别研究了倒向随机微分方程和倒向重随机微分方程中解z的性质。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

Secondly, we consider stochastic LQ optimal control problem driven by Lévy processes and Brownian motion. By applying the -Lévy formula, Gronwall's inequality, Young's inequality and Cauchy-Schwarz inequality, we obtain the closeness property of the solution of multi-dimensional backward stochastic Riccati differential equations.

第二部分首先研究由布朗运动和Lévy过程共同驱动的随机LQ最优控制问题，接着利用-Lévy公式、Gronwall不等式、Young不等式及Cauchy-Schwarz不等式证明多维倒向随机Riccati微分方程适应解的闭性质，并利用此性质证明一维BSRDE解的存在唯一性。

Then combined with reliability computation,the stochastic finite element method is used to establish the relationship between the load effect and basic stochastic variable dealing with statistical features of variables.

可靠度分析是基于各种资料、数据的概率统计分析，在设计中用概率的方法定量地考虑了这些不确定因素，并用严格的概率来求得结构的可靠度指标。

It is found that under certain conditions stochastic bifurcation mostly occurs when a stochastic attractor collides with a stochastic saddle.

揭示了随机分岔的发生主要是由于系统的随机吸引子与系统的随机鞍碰撞产生的。

Besides, a method has been creatively proposed to process stratum rupture using cross-ring. Bridge-edge and stratum area decompounding method has been used to solve reverse fault issue, and the applying problem basing on state machine model has been resolved by using a function class mechanism. It supplies a new idea and new method for reservoir stochastic modeling. At the same time, the geology stochastic modeling theory system has been enriched and improved. It has important academic and practical meaning in deepening reservoir development geology stochastic modeling theory and increasing remaining oil research extent.

该软件创造性地提出用相交环线概念来处理地层撕裂；用桥边及地层面区域子分的概念来处理带有逆断层的地层撕裂；用功能类机制及相应的消息分发模型，来解决基于状态机模型的应用问题等理论，为储层随机建模研究提供了新思路和新方法，进一步丰富、完善了储层随机建模的理论体系，对深化油田开发地质随机建模理论及加大剩余油挖潜力度具有重要的理论意义和现实意义。

In view of great uncertainty factors in the effect of shrinkage and creep, stochastic finite element method is applied to structural analysis. It can calculate the coupled stochastic response of uncertainty factors through randomizing input variables representing the stastics stochastic factors.

4考虑到收缩徐变效应分析中大量不确定因素的存在，本文引入随机有限元理论，通过对这些随机因素进行统计分析并作为输入变量，有效地计算模拟了不确定因素的混合随机响应。

Strategy for designing optimal bounded control to minimize the response of quasi partially-integrable Hamiltonian systems with stochastic excitations is proposed based on the stochastic averaging method for quasi partially-integrable Hamiltonian systems and the stochastic dynamical programming principle.

本文提出了一种基于拟部分可积Hamilton系统随机平均法和随机动态规划原理的最优有界控制策略。

A stochastic model with initial stochastic conditions and stochastic coefficients for surge calculation was developed for the typical hydraulic system of a surge tank .

针对典型调压室水力系统，建立了具有随机初始条件和随机系数的涌波分析随机模型，从数学上严格证明了调压室涌波随机模型存在唯一的均方解，并进一步利用Liouville定理求解了其解过程的联合概率密度函数，最后给出了调压室涌波的均值解曲线

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人