随机法

Finally, a stochastic averaging method based on generalized harmonic functions has been introduced and applied to the study of dynamics of Brownian particles.

最后，本文介绍了一种基于广义谐和函数的随机平均法，并将它初步应用于受宽带噪声激励下的Brown粒子随机运动系统的研究。

Comparing with deterministic system, the point of bifurcation in stochastic Duffing-van der Pol system is moved as increasing the intensity of random parameter.

进一步的推广证实正交多项式逼近法在实际问题中有广阔的应用前景，它可以解决含有多个随机参数的非线性随机动力学系统的分岔问题。

On this basis, sectionalized linearization of bilinear hysteretic structural characteristics and bilinear hysteretic filtering of structural system are put forward.

在此基础上，又提出了双线形滞后体系的随机分段线性化法和双线形滞后体系的随机分段线性滤波器。

The Monte Carlo method is firstly used to simulate random burst of bomblet, the damage radius, amount of bomblet, then draw damaged areas, statistics damage effect, calculate damage efficiency. Lastly calculate the expectation of final damage efficiency of shrapnel through mass random simulation experiments.

文章首先用Monte Carlo法仿真子母弹中子弹的随机落点、于弹毁伤半径和子弹数并绘出子弹毁伤幅员，尔后统计毁伤效果、计算毁伤效能；最后通过大量的随机模拟实验，计算出最终的子母弹的毁伤效能期望。

The random system is reduced to its equivalent deterministic one by Chebyshev polynomial approximation, and the response of the stochastic system can be obtained by the deterministic methods.

首先用Chebyshev多项式逼近法将随机系统化成与其等价的确定性系统，然后通过等价确定性系统来探索随机Duffing-Van der pol系统的对称破裂分岔现象。

Numerical simulations show that similar to their counterpart in deterministic nonlinear system some symmetry-breaking bifurcation may occur in the stochastic Duffing-Van der pol system, and Chebyshev polynomial approximation is an effective approach in solving dynamical problems of nonlinear system with random parameter.

数值模拟显示随机Duffing-Van der pol系统与确定性均值参数系统有着类似的对称破裂分岔行为，文中的主要数值结果表明Chebyshev多项式逼近法是研究非线性随机参数系统动力学问题的一种有效方法。

Successful bilateral ANFH models were randomly divided into a blank group, a simple PDPB group, and an artificial composite bone group.

按随机数字表法，随机分为空白组，单纯部分脱蛋白骨组，复合人工骨组。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

The table look-up method is used for rapidly generating an independent Gaussian random series, which simulates the heat noise of the fuze.

用查表法快速产生独立高斯随机数列，模拟引信的热噪声，通过低阶递归型高斯数字滤波器产生引信杂波随机数列，对它们进行了统计检验和谱估计。

According to the selective standard of excluding and including cases,90 cases of malignant tumor were randomly divided into 3groups, Medical therapy group (30cases), Moxibustion with ginger group(30cases), A.S.T group (30cases) by using method of random number table. Three groups patients were accepted chemotherapy in vein or mouth given acute bone marrow depression drugs such as Cyclophosphamide,Nitrogen mustard (HN2),Methotrexate,Cytosine arabinosidee,Hydroxyurea,Cisplatin,Etoposide (VP-6),Vincristine etc.

根据本课题研究病例选择的纳入标准和排除标准，选择90例接受化疗的恶性肿瘤病例，通过查随机数字表法随机分为西药组，隔姜灸组和穴位贴敷组，各30例，三组患者都至少采用环磷酰胺，氮芥(HN2)，甲胺蝶呤，阿糖胞苷，羟基脲，顺铂，长春碱类(VP-6)，鬼臼毒类等急性骨髓抑制药物中的一种或一种以上通过静脉或口服给药进行化疗。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。