逼近

It is import of choosing a basis function in the theory and application of the locally approximate neural networks.

在局部逼近神经网络的理论研究和实际应用中，基函数的选取是非常重要的。

In this paper, by using the method of expanding the hard-edge aperture function into a finite sum of complex Gaussian functions, the recurrence propagation expression for the propagation of partially coherent beams through a multiple apertured ABCD optical system is derived, which provides a fast algorithm for simulating the propagation of partially coherent beams through hard-aperture optics.

用有限个复高斯函数之和来逼近硬边光阑窗函数的方法，推导出了部分相干光通过多个硬边光阑ABCD光学系统传输的递推公式，提供了一种模拟部分相干光通过硬边光学系统传输的快速算法。

Since an analytic function can be arbitrary approximated by a polynomial, the provided methods can be applied to robust stability analysis of polynomial family with general non-linear perturbation parameters.

由于非线性解析函数可用多项式任意逼近，故该方法也可用于具有一般非线性参数摄动的多项式族的鲁棒稳定性分析。

The general orthogonal polynomial is adopted for model approximation of DPS and the predictive control of DPS is translated into the lumped one. Model algorithmic control is applied to deal with the lumped parameter system and a control law is given. The predictive controller of DPS is obtained by inverse transformation. The method and steps are discussed in detail.

该方法采用广义正交多项式对分布参数系统的模型进行逼近，将离散时间分布参数系统的预测控制问题转化为集中参数系统的预测控制问题，运用模型算法控制方法对集中参数系统进行预测控制，求出控制律，经反演变换得出分布参数系统的预测控制。

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数，还可以通过三角均匀多项式曲线参数来调整曲线形状，使所得曲线更加逼近多边形，并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1， 2， 3)连续的m次三角多项式曲线。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

The approximation scheme of generalized inverse is suitable for some particular configurations of aircrafts.

广义逆逼近算子在飞机外形设计中具有实际的应用价值。

In a proper condition,U* is a generalized solution of the differential equation system.

不同于[1-2]用有限维空间去逼近无穷维空间，本文空间是不变的。2。

In the forth chapter, a necessary and sufficient condition of the approximation by the partial sum of the generalized Baskakov operators is discussed.

第四章给出广义Baskakov算子用其部分和来代替进行逼近的一个充分必要条件。

Secondly, geodesic Gaussian basis functions are defined on the graph. A shortest path obtained by a shortest path faster algorithm is used to approximate a geodesic distance.

其次，在图上定义测地高斯基函数，并用基于最短路径快速算法得到的最短路径来逼近测地线距离。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。