查询词典 stochastic differential equation

Because the workpiece is in dynamic balance, the resultant moment acting on it should be zero. Introducing the moment from lapping tool and press head a moving differential equation is built. In this equation only workpiece rotating speed is unknown. It means that workpiece rotating speed can be got by this equation. Since there is a transcendental function in integral function of the equation an analytic result can not be got, only digital result can be got by a computer. Thus a change rule of workpiece rotating speed with lapping parameters is known, e.g. the radius of press disc ball socket, radius of press head ball, the distance between the workpiece rotating axis and lapping tool rotating axis, workpiece radius, modulus of elasticity of the press head and press disc, friction coefficients between the lapping tool and workpiece, and between the head and disc, pressure between the lapping tool and workpiece and pressure between the press head and press disc.

因工件处于动态平衡状态，其上所受到的来自于磨具和压头的力矩应相等，将二力矩表达式联立，建立工件运动微分方程，该方程中只有工件的旋转角速度是未知量，因此可以求出工件旋转角速度，但该方程积分式中含有超越函数，得不出解析解，只能通过计算机求出数值解，得出工件旋转角速度随各研磨参数的变化规律，如压盖球座半径、压头的球头半径、工件回转中心相对磨具回转中心的偏心距、工件半径、压头和压盖材料的弹性模量、磨具与工件间的摩擦系数、压头压盖间的摩擦系数、磨具与工件间的压强、压头压盖间的压力等。

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。

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。

In order to solve the route search problem in stochastic Petri net, the feature of reliability is introduced into each transition, and suppose that the lifetime distribution of a transition obeys the Weibull distribution model, then a memorial stochastic Petri net with reliability whose elements can record a little information is proposed based on the ant colony optimization algorithm and features of the memorial stochastic Petri net.

为了解决随机Petri网的路径寻优问题，在变迁中引进了可靠性的特性，并假设变迁的寿命服从威布尔分布模型，然后根据蚁群算法和时间Petri网的特点提出了一种网络元素可以记录少量信息的带可靠性的记忆时间随机Petri网。

Trigonometric series is used to simulate stationary, non-stationary, Gaussian andnon-Gaussin stochastic processes by spectral representation in which the non-stationary stochastic processes are expressed as the product of determinate functionsand stationary stochastic processes.

结合随机变量的Monte Carlo模拟法，随机场的局部平均法与随机过程的三角级数模拟法，用均值、方差、相关长度及功率谱等，可有效地描述随机变量、随机场、随机过程，及同时具有场与过程随机的变量。

In constructing the model of the optimization of the industrial structure, the pollutant emission will be a stochastic variable, by using stochastic optimization it will solve the uncertainty problems in environmental pollution, on this basis, the author constructed a China's industrial multi-objective dynamic Stochastic optimization model, and has given model solving methods.

在产业结构优化模型中将污染物排放作为随机变量处理，应用随机优化方法解决了环境污染的不确定性问题，在此基础上构建了中国产业结构多目标动态随机优化模型，并给出了模型的求解方法。

They arebirth stochastic integral functionals,death stochastic integral func-tionals and stochastic integral functionals at time t in level dependentQBD processes,respectively.

教授和王梓坤教授等人关于在通常生灭过程上随机积分泛函的主要结论，而且不同于Ho，Y.C。

In this dissertation,a new mechanism of stochastic resonance in the excitablesystem is presented,and the relationship between the stochastic resonance inexcitable neurons and the dynamic bistability is reported for the first time.Thepresent study deals with the extension of the concept of stochastic resonance,which has been thoroughly examined in bistable and simple excitable system,to amore complex system.It may even open the door to a better understanding ofstochastic resonance in neural system since experimental evidence supports theextension of such bistability in vitro preparations.

本文提出了可兴奋性系统中一种新的随机共振机制，首次报道了可兴奋性神经元中随机共振和动态双稳态的关系，将以前的单纯讨论双稳系统或可兴奋系统中的随机共振推广到了可兴奋系统中有动态双稳态更复杂的情形，由于在神经元的实验中已有关于动态双稳态的报道，本文所提出的随机共振为理解神经元中随机共振的编码机制开启了新的途径。

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。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。