提出一种新的基于基本样条逼近的循环神经网络，该网络易于训练且收敛速度快。
A new recurrent neural network based on B-spline function approximation is presented. The network can be easily trained and its training converges more quickly.
并给出了用逼近X -样条设计的两个字型实例。
Two examples of font design based on approximation X-splines are presented.
作者初步研究了将样条函数引用于逼近石油馏份，即所谓由“连续”组份构成的“复杂”物系。
The author introduced the spline approximation techniques to the numerical simulation of petroleum fractions, which are known as the so called "continua" mixtures of "infinite" number of components.
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；
The approximation order of the interpolation with the appropriate boundary conditions and constraints is analyzed.
然后分析了多结点样条插值方法的逼近精度、正则性、插值核函数的频域特性。
Then the accuracy of approximation, regularity of many-knot splines interpolation method and frequency property of the interpolation kernel are worked out for comparison.
本文推导出计算机绘图中的二次B一样条曲线的参数方程，介绍二次B一样条曲线的性质，并给出在逼近曲线时的特殊处理方法。
This paper infers the parametric equation of the quadric B-spline curve, introduces its character, and gives the special method of process when the curve is approximated.
样条函数以其特有的优点可以用来逼近任意的连续曲线，且具有很高的精度。
Spline functions can be used to approach arbitrary continuous curves with high accuracy.
给出这种新样条曲线的细分公式并证明它们有变差缩减性质和细分控制多边形逼近性质。
Subdivision formula for these new kind curves is given. Further, the variation dimishing properties and the convergence of the subdivision is proved.
本文就非闭光滑曲线上关于第二类边界条件的复三次样条函数的逼近误差进行了论讨，取得了较好的结果。
In this paper, we discussed the approximation errors of complex cubic interpolation spline on open smooth curves under the second boundary condition and got the better results.
讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。
This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline.
张力样条插值函数在给定区间上分段逼近真值。
Tension spline interpolation function maintains smoothness on a given interval, and it approaches a true function subinterval by subinterval.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
在给出了凸轮的廓线坐标后，采用三次样条函数对凸轮廓线进行逼近，使得理论分析结果更具实用价值。
After give out the coordinates of cam profile, the paper uses cubic spline interpolation to approximate the cam profile, which make theoryly result more practicable.
其变量个数类似于三次样条，光滑性与逼近阶都比三次样条降低一次，即类似于二次样条。
Its number of variables is similar to the cubic spline. Its order of smoothness and approximation is one order lower than that of cubic spline. Therefore it is similar to the binary spline.
其变量个数类似于三次样条，光滑性与逼近阶都比三次样条降低一次，即类似于二次样条。
Its number of variables is similar to the cubic spline. Its order of smoothness and approximation is one order lower than that of cubic spline. Therefore it is similar to the binary spline.
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