查询词典 separable polynomial

GPS ; broadcast ephemeris ; satellite coordinate ; Chebyshev polynomial

GPS ；广播星历；卫星坐标；切比雪夫多项式

structure reliability ; higher moment ; Chebyshev polynomial ; failure probability

此外，目前采用的随机变量分布概型几乎都是理想的数学模型

Introducing the user algorithm of the broadcast ephemeris, the algorithms are explained on principle, which are Lagrange Interplation and Chebyshev polynomial simulation. Then comparisons of calculating of satellite coordinate with broadcast ephemeris and with precise ephemeris are made.

推导了广播星历用户算法，对GPS数据处理中常用的拉格朗日内插和切比雪夫多项式拟合从原理上进行了阐述，并对广播星历卫星坐标计算和精密星历卫星坐标计算进行了分析比较。

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。

In graph theory,we have the algebraic graph theory[8]which involving spectrum,chromatic polynomial and so on.

在图论中，我们有代数图论[8]，通过研究图的谱，色多项式等来研究图的性质。

The absolute values of the coefficients of any chromatic polynomial form a unimodal sequence.

任何多项式系数的绝对值都构成单峰序列。

In this thesis, we obtain the chromatic polynomial of a mixed hypergraph with complete C-edges and circular D-edges by using splitting-contraction algorithm.

在这篇论文中，我们利用分离－收缩法(splitting-contraction algorithm)获得一个拥有完全C边以及循环D边特性的图之著色多项式。

In addition to the full-temperature q-state Potts model, the structure of the transfer matrix for the zero-temperature Potts antiferromagnet, i.e. the chromatic polynomial, is also obtained.

除了任意温度的q 态Potts模型外，我们也得到零度反铁磁Potts模型，也就是色多项式，的转移矩阵的结构。

The second is to cut a mere 100 calories from your diet , which is the equivalent of a tablespoon of butter.

第二个就是从你的饮食中减少一百卡路里，只是相当于一大汤匙的黄油。

This is where the Rorschach test comes in.

现在，罗氏测试就出现了。