查询词典 stochastic

The results show that the period-adding bifurcation obeys the deterministic mechanism decribed by Chay model and lightly affected by stochastic factors. In the corresponding parameter region, the integer multiple spiking generates only when the stochastic factors are introduced to the model. The phenomenon is autonomous stochastic resonance.

从模拟实验结果的角度看，加周期分叉过程遵从Chay模型决定的确定性机制，随机因素对其有影响但影响较小；而在相应的参数区间，整数倍节律则是在随机因素驱动下产生，是随机共振现象，是由确定性机制和随机因素共同作用的结果。

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

The main contributions are summarized as the following.Firstly, assuming demand is segmented by order lead time, a joint pricing and capacity allocation model is formulated considering scenario-based demand. Due to the stochastic discrete variable in the model, robust optimization is used to solve the model. Numerical examples prove our model and method reflect the stochastic characteristics of demand and provide more pratical pricing and capacity allocation policies than other methods of deterministic and stochastic expectation programming methods especially when the capacity is tight.

本文的创新之处概括为如下几个方面：首先，假设制造企业根据交货提前期对市场细分，建立了考虑需求情境的BTO模式下制造企业定价与能力分配的集成模型，利用稳健优化规划方法对此随机模型进行转化和求解，算例仿真表明随机优化规划方法较确定性规划和随机期望值规划方法更好地反映了随机离散需求的分布和波动特征，更加接近实际运作情况；产能越紧张，各类需求的价格差距越大，三种规划方法给出的最优策略差距越大。

The analysis in theory proves that cellular automaton is equal with a stochastic process that described by stochastic difference equations. The primary differential equation is expectation of this stochastic process. And its variance function is controllable. These results show that cellular automata are in agreement with primary differential equation in the statistical sense.

理论分析证明：该方法设计的细胞自动机等价于一个可用随机差分方程描述的随机过程，该随机过程以原微分方程为期望函数，并且，其方差函数是可控的，表明细胞自动机和原微分方程在统计意义上是一致的。

A two dimensional stochastic nonlinear dynamical model of semi-active suspension system is presented considering the stochastic factor of the road. The Hamilton function is also described as one dimension diffusion process by using stochastic average method, the stationary stability is studied by solving the Fokker-Planck-Kolmogorov equation. The Backward Kolmogorov equation for reliability function had been established.

考虑路面随机因素的影响，首先建立二自由度汽车半主动悬架的随机非线性动力学模型，运用随机平均法，将Hamilton函数表示为一维扩散过程，并运用奇异边界理论分析系统的全局随机稳定性，建立可靠性函数所满足的Backward Kolmogorov方程，结合初始条件和边界条件得出数值结果。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

Firstly, an empirical approximation model of stochastic programming is obtained by replacing the probability measure of original program with empirical probability measure. Sequentially, the constrained stochastic programming is transformed into an equivalent unconstrained stochastic programming. Finally, using the epi-convergence theory, the almost everywhere upper semiconvergence of optimal solution set of empirical approximations for stochastic programming is obtained.

首先通过经验概率测度替代初始规划的概率测度得到随机规划的经验逼近模型，然后将带有约束的随机规划问题转化成与其等价的无约束的随机规划问题，最后利用上图收敛性理论，给出了随机规划经验逼近最优解集的几乎处处上半收敛性。

First, the stochastic dominance rules of the stochastic decision problems corresponding to the case with continuous decision variates and the case with partial information are studied, and an interactive procedure based on stochastic dominance rule is proposed for stochastic decision problems.

根据这类问题包含不确定性因素的特点，本文从随机资源分配问题的建模和求解一般随机优化模型的随机优势、随机规划方法两方面着手进行了研究，并研究了区域规划中的资源分配实例。

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