查询词典 polynomial approximation

In this thesis,using the Bernstein polynomial approximation,Stieltjes transform method and the central limit theorem of martingale,under suitable moment conditions,we prove the CLT of LSS G_n with a generalized regular class C4 of the kernel functions for large dimensional sample covariance matrices.

在适当的矩条件下，当核函数f属于C4时，我们证明了大维随机协方差矩阵的线性谱统计量的中心极限定理。

We divide this interval into several subintervals, based on deviation points, find the best uniform approximation polynomial of each subinterval, and then denormalize the computation result to the final result.

论文摘要：根据切比雪夫定理，提出了一种适于FPGA实现的函数逼近新方法：通过区间映射关系，将函数定义域映射到较小的逼近区间内，并按照交错点对逼近区间进行分段，分别求出每段的最佳一致逼近多项式，对函数进行分段逼近，最后将逼近结果反映射，得到最终的函数计算结果。

The surface electromagnetic is expanded in a polynomial function via the Chebyshev approximation , then the electromagnetic distribution can be obtained at any frequency within the given frequency range , which is used to compute the scattered fields and the wideband radar cross section .

论文摘要：将切比雪夫逼近理论应用于目标宽带电磁散射特性分析中，通过求解给定频带的切比雪夫节点并用高阶有限元方法求得各节点处的目标表面场值，实现整个频带内任一频率点目标表面场值的快速预测，使得目标电磁散射特性得到快速分析。

Both the numerical results of these two chapters show that the Chebyshev polynomial approximation is an effective method in the study of system with random parameter.

数值结果表明Chebyshev正交多项式逼近法对于分析谐和激励和脉冲激励共同作用下的含有界随机参数系统的分岔现象也是有效的。

The Chebyshev polynomial approximation is used to investigate the stochastic bifurcation of van der Pol system with two-sided barriers.

利用随机光滑动力系统的Chebyshev正交多项式逼近方法，研究了双边约束条件下随机van der Pol系统的分岔现象。

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。

Numerical results for the original stochastic Duffing-van der Pol system obtained separately by the Mento-Carlo method and the Chebyshev polynomial approximation are compared to show the effectiveness and efficiency of the latter method in solving the nonlinear dynamical problems of system with bounded random parameters.

数值模拟结果显示，Chebyshev正交多项式逼近法是研究含有界随机参数的耦合非线性动力学系统的一种有效方法。

Spectral element methods for partial differencial equation is introduced in this study from viewpoint of the collocation approximation of Chebyshev polynomial. Wave Equation and its space discretization are deduced. Two time integral methods, central difference method and implicit Newmark method, are introduced, and their stability and applicability are also discussed in some details. The significance of absorbing boundary conditions in spectral element methods for Aeroacoustics is explained, and Clayton-Engquist-Majda absorbing boundary conditions is emphasized and introduced, then the discrete scheme of this boundary conditions is deduced and applied to spectral element methods for wave equation.

本文从Chebyshev多项式逼近理论出发，详细介绍了谱元方法求解偏微分方程的过程；推导了流体中的声波动方程并在空间上对其进行了谱元离散；详细讨论了两种时间积分方法──中心差分法和Newmark方法，分析了它们的稳定性条件，并从理论上对比了两种方法的优缺点和适用范围；将吸收边界条件推广应用于谱元方法求解气动声学问题中，重点介绍了Clayton-Engquist-Majda吸收边界条件的原理和公式，推导了该吸收边界条件的变分形式，并将其引入波动方程的离散形式中。

The stochastic Bonhoeffer-Van der Pol system is first transformed into an equivalent deterministic system using the Chebyshev polynomial approximation, so that the problem of controlling stochastic chaos is reduced to the problem of controlling deterministic chaos in the equivalent system.

首先运用Chebyshev多项式逼近的方法，将随机Bonhoeffer-Van der Pol系统转化为等价的确定性系统，使原系统的随机混沌控制问题转换为等价的确定性系统的确定性混沌控制问题，继而可用Lyapunov指数指标来研究等价确定性系统的确定性混沌现象和控制问题。数值结果表明，随机Bonhoeffer-Van der Pol系统的随机混沌现象与相应的确定性Bonhoeffer-Van der Pol系统极为相似。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我