The biorthogonal multi-scaling vector with higher approximation order was constructed using TST.
利用双尺度相似变换构造了高逼近阶的双正交尺度向量。
In particular, the highest approximation order is higher than other obtained summation operators.
特别地，新算子的最高逼近阶明显高于目前已有的求和算子。
The multi-scaling vector possess symmetry and approximation order 1 at least by selecting a suitable parameter.
选取适当的参数，使其具有对称性并且至少有逼近阶1。
The approximation order of the interpolation with the appropriate boundary conditions and constraints is analyzed.
分析了在适当的边界条件和约束下三次多结点样条插值的逼近阶；
MST has relation to approximation order. One can increase approximation of M-band multiscaling functions with help of MST.
通过研究MST的性质及与M带多尺度函数的逼近阶的关系，利用MST可以对M带多尺度函数的逼近阶进行提升。
Then choosing suitable transform matrix, and applying TST to it, the satisfactory approximation order of the multi-scaling vector was achieved.
选择适当的变换矩阵，对尺度向量进行双尺度相似变换，可以使其具有满意的逼近阶。
So I hastily wrote up a paper giving the first order of approximation and showing that to that accuracy, at any rate, we had agreement between the theory and observation.
所以我匆忙地写了篇论文，给出一阶近似解并指出至少在这个精确度下，理论和实验结构都相符合。
Dr Worm acknowledges that the figures are "only a first order approximation" but says that if anything they are conservative.
Worm博士承认这些数据只是一阶近似，但他认为如果没有什么区别的话，这些数据已经是保守的了。
The simplified Kochin function and the corresponding linear wave resistance formula for shallow water are derived by an analysis of the order of magnitude and approximation.
借助量级分析和近似处理，导出了简化浅水柯钦函数和相应的浅水线性波阻公式。
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。
Unconventional double set parameter finite element approximation for a fourth order variational inequality with displacement obstacle is considered.
研究位移障碍下的一个四阶变分不等式的非常规双参数有限元逼近。
The results show that the former geometrical highlight model with three parameters is approximation of one order for naked shells at high frequencies.
结果表明原来的三参数几何亮点模型是在高频情况下未敷瓦壳体的一级近似。
In this paper, a five-degree nonconforming rectangle element approximation for second order obstacle problem is considered.
本文讨论了二阶障碍问题的一个五自由度非协调矩形元逼近。
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。
Studied in this paper is the nonconforming finite element approximation to the second order variational obstacle problem with displacement obstacle on the anisotropic meshess.
本文研究位移障碍下二阶变分不等式问题在各向异性网格上的非协调有限元逼近。
It is because that the coupling term due to polarization and the ignored term due to the weakly guiding approximation are as small as the second order, and they are just the same.
最后认为这是由于偏振耦合项是二阶小量，而弱导近似忽略了与之相等的二阶小量耦合项。
The approximation of differentiable functions by a kind of interpolatory rational functions is discussed, and the corresponding order of approximation is obtained.
讨论了一类插值有理函数对可微函数的逼近，得到了相应的逼近阶。
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。
And point out that in order to realize the approximation of recurrent networks, the initial conditions, embed dimension and approximation effects must be considered.
指出递归网络要实现逼近，需考虑初始条件、嵌入维数、逼近时效等因素。
The motion of particles in a low aspect ratio tokamak was investigated using the drift approximation, with a standard model for the magnetic field and the assumption of the order of aspect ratio.
为了研究小环径比托卡马克中粒子运动不同于大环径比的特点，探讨了标准模型磁场下单粒子在小环径比托卡马克中的运动，通过对环径比量级的假设采用漂移近似得到了保留至高阶项的导心运动方程。
The basic idea of WENO is to obtain a higher approximation by a linear combination of low order numerical fluxes.
WENO格式的主要思想是通过低阶的数值流通量的凸组合重构得到高阶的逼近，并且在间断附近具有本质无振荡的性质。
It is pointed out that Peters'equation is just the formula with first order approximation.
指出该公式只是一阶近似意义下的公式，并导出二阶近似、三阶近似意义下的公式。
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。
In order to improve the classification quality of decision system, a strategy of data mining classification rules based on rough approaching approximation measurement in data ware is proposed.
为了提高决策系统的分类质量，探讨了一种在数据仓库中基于粗糙逼近近似度量的挖掘分类规则策略。
Using the perturbation method we have got the fourth order of approximation of the velocity potential to the problem.
运用摄动方法，给出了速度势的四阶近似，然后得到了圆柱表面的无量纲的压力系数和阻力系数。
The best order of approximation by (N, P) means of T-F series is discussed, and asufficient condition to reach this order is found.
讨论了算子（N，P）的最佳逼近阶以及达到此逼近阶的一个充分条件。
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。
Under homogeneous conditions, the application of this equation may give a differential approximation of high order accuracy for Lapace equation, Poisson equation and heat conduction equation.
在矩形网格上的九点差分近似的正确公式。使用它，在均质情况下，对拉普拉斯方程、布阿松方程和热传导方程可以构造出高阶精度的差分近似。
Under homogeneous conditions, the application of this equation may give a differential approximation of high order accuracy for Lapace equation, Poisson equation and heat conduction equation.
在矩形网格上的九点差分近似的正确公式。使用它，在均质情况下，对拉普拉斯方程、布阿松方程和热传导方程可以构造出高阶精度的差分近似。
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