Therefore, it is easy to calculate any high order approximation by hand or by a computer.
因此本法易于手算和用计算机计算，从而可求任意高阶近似。
The zeroth order approximation of the solution can be expressed in terms of confluent hypergeometric functions.
解的零级近似可以用汇合超几何函数表示。
The result verifies that the high order approximation method offers better denoising effect and higher signal to noise ratio.
结果证明，相对于其他方法，高次逼近法去噪效果良好，得到的信噪比更高。
But when the rotary inertia of the hub is close to that of the beam, the zeroth-order approximation model may lead to wrong result.
但当中心刚体的转动惯量接近柔性悬臂梁的转动惯量时，零次近似模型将导致错误的结果。
Nonlinear directly estimating formula for exponential curve which, through fixed point, was derived, by using first order approximation of Taylor expansion.
运用泰勒展开的一阶近似估计推导过定点的指数曲线的非线性直接估计公式。
The Lagrangian formulation of the critical dynamics is recovered in the second order approximation of fluctuations in the closed time path continuous integral.
在闭路连续积分中取涨落二级近似，得到临界动力学的拉氏场论表述。
The first order approximation of the partial exponential stability of nonlinear time-varying systems is investigated by linearization approach of nonlinear systems.
通过非线性系统的线性化方法，讨论了一类非线性时变微分系统的解关于部分变量指数稳定的一次近似。
The depth migration with higher-order approximation by time-shift algorithm eliminates the frequency dispersion and amplitude distortion in the calculation process.
本文使用高阶方程深度偏移方法，并且在计算中采用了一种与差分运算等价的时移法解决了计算中出现的频散和振幅失真问题。
Under the first-order approximation of Taylor expansion, the analytic expression for the defect mode frequency is derived, from which the coupling factor is deduced.
利用泰勒展式的一级近似，得到了缺陷模频率的解析表达式，进而得到紧束缚理论中的耦合因子。
Under second order approximation both troughs and ridges of unstable isolated waves are formed in different locations, and for stable isolated waves only troughs are formed.
二级近似时其解为孤立波形式——不稳定时，在地形不同位置可形成东移或西移的孤立波槽或孤立波脊；而在稳定时只形成孤立波槽。
The result makes it clear that wall-pressure fluctuation can be described with the method of proper orthogonal decomposition, and the low order approximation is very efficient.
计算结果表明脉动壁压可用正交分解进行描述，而且对其进行低阶近似颇为有效。
Our calculation shows that, take the HFS model as zeroth order approximation instead, successful many-body calculation on the ground state property of closed shell atoms can also be made.
计算表明，以HFS模型为零级近似，对闭合壳层原子基态亦可成功地进行多体计算。
The results show that the eigen spectral functions declined with the increasing of order rapidly. The reconstruction of spectral density function shows that low order approximation is very efficient.
计算结果表明，冲击射流所形成的脉动壁压场可用正交分解进行描述，其特征谱函数随阶数的增加而迅速衰减，对谱密度函数进行低阶近似也非常有效。
The results show that the eigen spectral functions declined with the increasing of order rapidly. The reconstruction of spectral density function shows that low order approximation is very efficient.
计算结果表明，冲击射流所形成的脉动壁压场可用正交分解进行描述，其特征谱函数随阶数的增加而迅速衰减，对谱密度函数进行低阶近似也非常有效。
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