查询词典 first approximation

The result of the second order approximation given for me first time in the present paper leads to a theoretical m...

这种修正可以提高数值解的精度，有助于对问题获得更全面的了解，对进一步发展与完善高超音速钝头体绕流问题的数值求解方法起一定的作用。

The first order approximation solution of temperature and interface for the spherical crystal growth in the undercooled melt is solved by the asymptotic analysis method.

结果表明在球晶生长过程中依赖于界面温度变化的界面动力学显著地减缓了晶体生长的速度，与忽略界面动力学的情形比较，界面动力学显著地拟制了球晶界面生长。

The given estimated values of variables in Newton method is a crucial problem for the final solutions, the solutions of the first order approximation of the Fourier series to land surface temperature were used to the input initial given values of the Newton numerical method.

在牛顿迭代解法中，很关键也很困难的一个问题是初始值的给定，本模型中牛顿迭代的初始值是傅立叶级数对地表温度一次逼近得到的结果。

After probable damage location through MSECR, the method based on the sensitivity of orthogonality conditions gives good predictions of damage. This method overcomes the natural defect of the concept first order approximation of the ordinary sensitivity analysis method.

为克服灵敏度分析法一阶近似的本质缺陷，基于正交条件灵敏度分析法，利用MSECR对结构的损伤进行粗略定位后，给出了准确的识别结果，但这种方法的缺点是需要完备的实测振型。

The flow field around Taylor bubbles rising through stagnant liquids in vertical tubes is considered as potential flow, and the first order approximation of the control equation of gas-liquid interface and the rising velocity of Taylor bubbles are obtained.

应用势流理论分析了垂直管滞止液体中Taylor气泡周围的流场，得到了气液界面的控制方程和Taylor气泡上升速度的一阶近似结果。

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。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上，利用文[3]提出的新想法，得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式，以及导数误差的最佳阶超收敛，并且两者有相同的超收敛结果。

We give left and right prediction of jump detection on basis of orthonormal polynomial. In theory analysis, we first give some theorems, then to proof the approximation, which is in a jump point detection by nonlinear prediction, can arrive one to number of samples. This result is considerable well. In the meantime, we study the approximate theory of measurement of jump point.

在理论分析中，我们首先给出了几个引理，然后证明了非线性预测法在检测单个突变点的逼近程度达到样本数的分之一，这样的结果是比较好的。

Accordingly pels tracing and function approximation are avoided ,and vectorization process is simplified effectively.At first ,every arithmetic of image transformation and image filter is researched and its disposal image is analyzed .

本文首先对图像变换和图像滤波的各种算法进行了研究，分析了各个算法的处理效果，根据实验试验结果提出应结合图像本身的特点选择合适的预处理方法，并运用小波变换对图像进行压缩变换和滤波处理。

In this paper, we survey the development of polynomial approximation of rational curves and state the knowledge of interval curves in the first chapter.

本论文中，第一章首先介绍了有理曲线曲面的多项式逼近研究工作的发展情况和区间曲线曲面一些相关知识。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。