1) random harmonious average
随机调和平均
1.
The notion of random selection is extended to random harmonious average of random transition probability for nonehomgenous Markov chains by using a new method of differentiation on net.
利用网微分方法将随机选择的概念,推广到有限马氏链随机转移概率随机调和平均的情形。
2) stochastic averaging
随机平均
1.
Adaptive control design of MEMS gyroscope using stochastic averaging method;
基于随机平均法的MEMS陀螺自适应控制设计
2.
By virtue of the singular point theory of one-dimension diffusion process and the stochastic averaging approach of energy envelope, the bifurcation behavior of a homoclinic bifurcation system, which is in the presence of parametric white noise and is concealed behind a cedimension two bifurcation point, is investigated.
利用一维扩散过程的奇点理论并结合能量包络的随机平均法，考查“隐藏在余维2分岔点之后”的同宿分岔系统受参激白噪声影响的分岔行为。
3.
The semi-elliptical surface crack growth of structural components with uncertain material resistance under random loading is studied by using the stochastic averaging principle.
本文应用随机平均原理研究了在随机载荷作用下具有随机抗裂特性的构件所含半椭圆型表面裂纹的疲劳扩展，导出了支配半椭圆型表面裂纹尺寸的转移概率密度的ＦＰＫ方程，给出了裂纹扩展方程在表面和深度两个方向互不耦合情形下的解析解。
3) harmonic mean
调和平均
1.
The strong limit theorems on the arbitrary stochastic convergence for the harmonic mean of the random conditional probabilities in the random selection system is studied.
主要研究任意随机序列在随机选择系统中的随机条件概率其调和平均的强极限定理。
2.
Weighted harmonic means combination forecasting based on degree of reciprocal grey incidence is a new kind of nonlinear combination forecasting method.
基于倒数灰色关联度的加权调和平均组合预测模型是一种新的非线性组合预测模型。
3.
The purpose of this paper is to provide a direct proof on the fact that the geometric-harmonic mean of any two positive numbers can be calculated by a first complete elliptical integral, and then to give new characterizations of some mean-values.
本文的目的是直接证明任何两个正数的几何-调和平均值都可以用第一类完全椭圆积分来计算,并且给出一些平均值新的特征。
4) stochastic averaging method
随机平均法
1.
The nonlinear stochastic optimal control strategy for an averaged system is presented which derives the averaged system by using the stochastic averaging method and obtains the control law according to the stochastic dynamical programming principle.
首先建立非线性随机系统的最优控制问题,并介绍通过随机平均法导出平均系统、再由随机动态规划原理确定控制律的平均系统的非线性随机最优控制方法。
2.
First,the control system subjected to wide-band random excitations is formulated based on the stochastic averaging method for quasi-integrable Hamiltonian systems and then transformed into Ito^ stochastic differential equation.
首先应用拟Hamilton系统随机平均法建立平均后的Ito∧随机微分方程;接着求解相应的Fokker-Plank-Kol-mogorov(FPK)方程得到系统精确平稳解;然后将控制力的均方值和Hamilton能量均值结合作为系统控制指标,得出最优反馈控制规律;最后用两个例子详细说明了这一控制方法的实施过程的有效性,数字模拟结果与理论结果完全吻合。
3.
In this paper, a stochastic optimal control-method for coupled adjacent high-rise structures is proposed based on the stochastic dynamical programming principle and the stochastic averaging method.
本文基于随机动态规划原理与随机平均法,提出耦合相邻高耸结构的随机最优控制方法。
5) random averaging
随机平均化
6) harmonic mean method
调和平均法
1.
The thin layer of cable is handled by harmonic mean method, and the cable is equivalent to two layers, .
采用热路法将电缆金属套损耗归算到电缆导体,应用调和平均法对电缆导体外的薄层进行处理,最终将电缆等效为导体和外护两层结构,减少了剖分节点数,提高了计算精度和收敛速度。
2.
The cable which was composed of multiple layers was equivalent to two layers, conductor and outer layer, by harmonic mean method.
利用调和平均法对电缆导体外的多层介质进行处理,最终将电缆等效为导体和外护层的2层结构。
补充资料：可调和化随机过程
可调和化随机过程
harmorazabte random process
可调和化随机过程【怡口仪崩匕b晓.口山加声K吧绍;rapM。-。.3yea‘亩e月y，a‘.ha.卯明eee】 可以用随机积分(stoc坛邓tic integral) X(r，一上一“，d。(、卜腼干·“r△*‘(、，(·，表示的实参数t的复值随机函数X=X(艺)，式中。(劝(一的<又<的)是一个随机过程，增量△‘。(劝=。(又*+，)一中(又*)在(*)中定义的具有随机“振幅”凡=}△*。(几)!，“相位”氏二魄△*。(劝和频率为又(几*簇又簇又*+1)的形如 注*e’(’‘十”)=e‘，‘△*。(又)的基本振动，叠加起来，取极限产生了X“X(t).表示式(*)中的(均方)极限是沿着把直线逐次细分成区间△*=(几*，又*+，)使tnax*(又*+一又*)~o的序列来取的.通常假定 F(△.x△2)=E(Al中·△2中)作为平面上集△:x△:的函数，定义了一个复值有界变差测度.在这种情形下，相应的过程中以)(一的<几<仍)(或者更确切地，相应的随机测度d份(又))，可以被过程X(t)(一的
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条