一阶

But the numerical differentiation process is very sensitive to even a small level of errors. In contrast it is expected that on average the numerical integration process is much less sensitive to errors.

在DQ方法的基础上，本文提出了一种新的方法——基于最高阶导函数插值的微分求积(differential quadrature method based on the highest derivative，简称DQIHD)方法。

The first and second derivatives of the coordinates of a cam profile are calculated using numerical differentiation method,and substituted with curvature radius formulas in calculus,thus obtaining its curvature radius.

应用数值微分法计算凸轮廓线坐标的一、二阶导数，代入微积分学中曲率半径公式，即得凸轮廓线的曲率半径。

The possible differential rotation among the layers of the Earth interior and its contribution to nutation, as well as the displacement profile interior, are studied, which provides a new method to study the differential rotation of the Earth cores.

讨论了地球内部可能的较差转动对章动的贡献以及地球内部形变场剖面，特别是核幔边界附近的低阶形变场的非线性特性，为研究较差转动提供了除地震学之外的另一种新的可能途径。

At the same time, a set of new predictor-corrector method of the convergence order for computing the one of mathematical analysis is derived.

本论文提出的方法简单、迅速和直观，是一种计算方法阶的有效途径。

The stability and convergence of the fully discrete solutions are proved and the convergence order is also given.

从数值实验上也验证了该算法的可行性和高效性，对非定常N-S方程提出了一种新的全离散TGM：空间离散用标准FEM，时间离散用Crank-Nicolson格式，证明了全离散解的稳定性与收敛性。给出了收敛阶。

A class of singularly perturbed boundary value problem of weakly nonlinear equation for fourth order on the finite interval with two parameters is considered.

讨论了一四阶具有双参数的弱非线性方程在有限区间上的奇摄动边值问题。

Of course, this conversion between the old and the new CQFs can change the compactly supported, the regularity and the approximation order of the corresponding scaling function. However, for its appliction in signal processing, both the new and the old CQFs can produce identical output for a given input signal.

这种新旧CQFs转化将改变相对应的尺度函数的紧支撑性，正则性和逼近阶等，而在信号处理的过程中，对某一信号而言，用新旧两种CQFs作用可以产生同样的输出信号。

Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the Poincare-Lindstedt method, are discussed in detail through a Duffing oscillator with delayed velocity feedback. It is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. An ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution.

其次，以一具有时滞速度反馈的Duffing系统为例，研究了经典摄动法如多尺度法，Poincaré-Lindstedt法等在求解时滞微分方程级数解时的适用性和局限性问题，指出利用这些方法只能有效求得系统的前两阶近似解，而在求系统的三次以上近似解时会出现矛盾或二义性。

A method of the order selection of polynomial model for geometric errors modeling for NC machine tool was presented.

提出了一种针对数控机床几何误差多项式模型的阶数选择方法。

The ICA is a kind of signal processing method based on high order statistic, it can recover the source signals from the linearly mixed signals, but it has disadvantages in processing non-linearity signals, and the KICA, which is based on nonlinear function space, can solve the problem effectively. Comparing with current ICA algorithms, the KICA is notable for its flexibility and robustness.

独立分量分析是近几年发展起来的基于信号高阶统计特性的分析方法，它是指从多个源信号的线性混合信号中分离出源信号的技术，但目前的算法在处理非线性变化的信号时还有一定的局限，而基于非线性函数空间的ICA方法－KICA，即核独立成分分析，可以解决这一问题。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。