逼近

With some modifications of Laplace\'s approximation,we obtain uniform asymp-totic formulas for the Stieltjes-Wigert polynomial,the q~(-1)-Hermite polynomial and the q-Laguerre polynomial.

通过将Laplace逼近方法做一些改进，我们得到一些关于Stieltjes-Wigert多项式，q~(-1)-Hermite多项式和q-Laguerre多项式的一致渐近公式。

Thereby, sparsity of the Hessian matrix of the objective function is maintained by the approximate updated matrix sequence.

此算法的另一个重要性质是：算法产生的逼近目标函数Hessian阵的矩阵序列保持对称正定性。

In this paper, we provide a new method using the DQ method based on the interpolation of the highest derivative for the differential equations. The original function is then obtained by integration.

这种方法的出发点是通过对未知函数最高阶导数进行插值，然后积分得到对低阶导数和原未知函数的逼近。

A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived.

摘要在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。

The initial-boundary value problem for hyperbolic equation in one-dimensional domain with moving boundary is studied. The discrete time finite element approximation is suggested, and its stability is proved.

研究了具有变动边界的一维区域上的双曲型方程的初边值问题；提出一类全离散有限元逼近格式，并证明了格式的稳定性。

This invented simplified algorithm is to use sectional linear judgement method or looking-up table method to replace the hyperbolic tangent judgement. The substance is to use sectional linear judgement function L or judgement function T of looking-up table to approach the hyperbolic tangent function tanb.

为了解决这个问题，本发明的双层加权并行干扰对消算法的简化算法用分段线性判决方法或者查表法来代替双曲正切判决，其实质就是用分段线性判决函数L或者查表法的判决函数T逼近双曲正切函数tanh。

Next, we study the case when the approximation spaces are the anisotropic linear triangular element and a new conforming triangular Hermite-type one, by taking advantage of a series of new approaches, the convergence analysis of hyperbolic type integro-differential equations is provided, the error estimates are also obtained .

其次，把逼近空间分别取成具有各向异性特征的协调线性三角形元和一个新的二次Hermite型三角形元，针对双曲型积分方程，给出了相应的收敛性分析及其误差估计。

The powerful function of a new computer language MATLAB, produced by the America Mathworks company, is the mathematical software system for the calculation in science engineering. It can efficiently solve problems in science and engineering such as numerical linear hypercomplex system, digital approximation, optimization, numerical quadrature etc. It also has characters of beautiful interface and convenience for users.

MATLAB是Mathworks公司推出的适用於科学和工程计算的数学软件系统，可高效地解决数值线性代数、微分方程数值解、数值逼近、最优化、数值积分等科学和工程问题，且具有可视化图形处理、使用方便、开放式多功能於一体的新一代计算机语言。

This program is developed based on the platform of Delphi 7.0,and its mathematical model is hypergeometric distribution.

该程序在Delphi7.0开发平台下编写，数学模型为超几何分布，采用试凑法逐次逼近。

The hinging hyperplane s model is improved and an indirect smooth approximation algorithm based on hinge-finding algorithm is proposed.

摘要改进了链接超平面模型，并在找链接算法的基础上给出了一个处处光滑的间接光滑逼近算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。