查询词典 stochastic

Based on chapter two, In chapter three, the method of multiple scales is introduced to the study of the multiple-dimensional nonlinear stochastic systems under random external excitation. Using method of multiple scales, we strictly deduce the equation of modulation of amplitude and phase. The effects of random excitations are analyzed; numerical simulations verify the results. Theoretical and numerical simulations show that when the intensity of the random excitation increases, the nontrivial steady state solution may be changed from a limit cycle to a diffused limit cycle.

在第二章基础上，第三章将多尺度法引入到相应的随机系统的研究中；严格推导了系统的约简方程，用矩方法求出稳态解应满足的方程，获得一些结果；并且数值模拟结果与理论推导的结果是一致的；并注意到，与其对应的确定性系统相比较，系统响应从周期解变为近似周期解，系统的相轨线从极限环变为扩大的近似极限环；随着激励带宽的增大，此扩大的近似极限环的宽度将增大。

A time domain method was proposed for analyzing the vehicle-bridge stochastic vibration excited by multidimensional time-delay nonwhite rail irregularities .

提出时滞多维非白噪声轨道不平顺激励下车辆－桥梁垂向随机振动的时域分析方法。

The stochastic expansions given here depend only on the independent normal random variables and curvature arrays, therefore they are easy to understand and to deal with.

f'(0)一f(二'，0)。二'为已知的自变量，相应的因变量和随机误差为y'和。'，0为p维未知参数，其参数空间为R中的子集习。在约束方程(2)中，甲(0)为k维向量k

For GPS precise kinematic/mobile positioning, the function models and stochastic models in both single epoch way and OTF (on-the-flying) way are respectively given, and the general normal equations to suit programming in computer are constructed in this section.

对于 GPS 精密动态定位，分别给出了在单历元方式和 OTF 方式下的函数模型和随机模型，以及适宜于编程的通用法方程式。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

Character of solution of stochastic differential equation in dual of nuclear space was studied.

研究核空间的对偶空间的随机微分方程解的性质，得到微分方程组解 L 2收敛的条件，及在一定条件下解过程导出的测度{ Pn}为胎

The influence of observational error on statistical inference is discussed and the method to diminish the impact of stochastic error is given.

摘要讨论了观测误差对某些统计推断的影响，给出了减小随机误差影响的方法。

This article introduces the model of stochastic resonance to one-dimensionality force telepresence system.

本文将随机共振模型引入一维力觉临场感系统。

Markov chain of stochastic process theory was introduced into the reflection mathematic model by considering the fact of total reflectance when light propagate to optically thinner medium from denser medium. The reflectance mathematic model of halftone image coated with different reflectance ink layer was established and discussed.

将随机过程论中的马尔可夫链理论引入到印刷品的反射－透射数学模型中，考虑到光在由光密介质进入光疏介质中传播时会发生全反射现象的事实，讨论并建立了不同折射率油膜层叠加的半色调图像光谱反射率数学模型。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。