查询词典 numerical function

In this dissertation, the following critical theoretical problems on local La-grangian numerical differentiation are studied: explicit formulas, local estimate for the remainder, and the highest order of approximation in the case that the values of the function at these interpolation nodes have perturbationsLagrangian numerical differentiation is a method that the Lagrange interpolation polynomialis differentiated to approximate the derivative, where Tn ={t_0,t_1,......

本文主要研究有关局部Lagrange数值微分法的一些关键性的理论问题：公式的显式表示，余项的渐近估计，以及在插值数据有扰动的情况下，局部Lagrange数值微分法的最大逼近阶。

In the paper, the researches and conclusions are:The basic theory and technique ofgeography information system, Introduce the history of the GIS technique developmentand it develops the trend, the GIS modernizes the meaning of the construction and thepurpose and the meaning of the topic researches to the our army artillery.The design ofartillerist numeric map, Make use of the soft strong graphics function of the SuperMapgeography information system, from how made the numerical map of artillery tocommence, carried on the processing and processed the piece to the artilleryappropriative paper quality diagram to manufacture the numerical map of artillery.Themold of choosing the position of artillerist and excavating the position of spacedata;Rules of space clustering analyzing and space relationship on the basis ofmathematics configuration;Choosing the path of positing convert;optimalpath arithmetic on the basis of chart theory and realize optimal path analyze.

论文研究内容有：地理信息系统的基本理论与技术，介绍GIS技术发展的历史及其发展趋势，GIS对我军炮兵现代化建设的意义和课题研究的目的及意义；炮兵地图数字化设计与制作，利用SuperMap地理信息系统软强大的制图功能，从如何制炮兵数字地图入手，对炮兵专用的纸质地图进行处理和加工件来制作炮兵数字地图；炮兵阵地选取分析模型、阵地空间数据挖掘模型的建立和挖掘过程，基于数学形态学的空间聚类分析法、空间关联规则法的挖掘模型；阵地转移的路径选择，对炮兵阵地转移路径进行分析，基于图论中的Dijkstra最优路径算法，实现转移最佳路径分析。

In this paper the numerical solution of Green's function of potential in 2-D arbitrary inhomogeneous media with axial symmetry has been given by using the numerical mode matching theory.

利用数值模式匹配理论，对具有轴对称的任意二维非均匀介质中位场的格林函数给出数值解。

In the numerical calculations,the unknown density of dislocation is approximated with the product of fundamental function and Chebyshev polynomials.The calculations show the present method yields rapidly converging and high accurate numerical results.

在数值求解这组奇异积分方程中未知位错分布密度近似为基本密度函数与Chebyshev多项式之积，计算表明，本文方法的数值结果不但收效快而且精度高。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

Based on Collins integral formula and the expansion of the hard aperture function into a finite sum of complex Gaussian functions,the approximate analytical expression of the diffraction field of Gaussian beam by a circular disc is derived,and its characteristics are analyzed by the numerical calculation and numerical simulation.

基于圆孔光阑函数展开为复高斯函数和的方法，用Colins积分公式，导出了高斯光束照射下圆盘衍射的光场近似解析表达式，经计算机数值计算，对高斯光束照射下圆盘衍射的衍射特性进行了详细的分析

Under the one-dimensional situation, it introduces mainly the Newton-Cotes formula, the Gaussian quadrature formula, the numerical integration rule of sharp oscillatory function, the numerical integration rule by the methods of sampling and so on.

在一维情形下，主要介绍了Newton-Cotes公式，Gauss型求积法则，急速振荡函数的数值积分法则，抽样法求数值积分的法则等。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

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。

Numerical Integration Single variable f - Calculates the definite integral of a single variable function f(x using numerical methods: The Trapezoidal, the Midpoint and the Simpson's method.

计算一个单精度变量的整数部分的函数f 使用的数学方法：梯形法、中间点中和辛普森方法。

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。