查询词典 approximation function

Spline function is an important approximation tool in computational geometry,and it is widely used in many engineering fields.

样条函数作为计算几何中表示和逼近的基本工具，在很多工程领域有着重要而广泛的应用。

The analysis is relatively simple due to the good approximation and the compact expression of the spline function.

由于样条函数有良好的逼近性及紧凑性，使得层合板在脉动流这种复杂荷载作用下的动力分析也相对简单。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

The LP approximation by strong summability of Fourier-Laplace series of a function defined on unit sphere is discussed.

本文讨论了球面函数的Fourier—Laplace级数的强求和在LP尺度下的逼近问题，其结果是球面上强求和的某些已有结果的补充，也可以看成一元或多元Fourier级数相应结果的球面类比。

We also introduce a control function, prove the global convergence, and prove the local superlinear convergence under some conditions. Then we propose another new algorithm by using an existed approximation functions, which has the same characters as the first algorithms does. Finally, the result of the numerical experiments indicates the efficiency of the first algorithm. The paper contains four parts.

本文还引入了新的控制函数，并证明了算法具有全局收敛性和在一定的条件下具有局部超线性收敛性；然后，在第一个算法的基础上，本文利用已有的光滑逼近函数提出了另外一个新的算法，通过适当参数选取，证明了新的算法具有与第一个算法同样良好的收敛性质；最后，通过数值计算说明了算法的高效性。

The five methods are tested on a 2-D test function ,a straight airfoil and a sweepback airfoil. For the straight airfoil,the paper constructs its approximation models of structure disciplinary, aerodynamic disciplinary and stealth disciplinary.

用这五种方法分别构造二维测试函数的近似模型，直机翼结构学科、气动学科和隐身学科的近似模型和后掠机翼结构学科、气动学科的近似模型，并总结这五种方法对二维测试函数、直机翼和后掠机翼各学科近似的适用性。

Taylor formula in the function approximation, approximate calculation, the limits of computing, levels of Convergence and Divergence and judge evidence of inequality, such as extremely important aspects of the application.

泰勒公式在函数逼近、近似计算、极限运算、级数与的敛散性判断、不等式的证明等方面都有极其重要的应用。

It is proved by using the function approximation theory and martrix theory that for a degenerate elliptic equation of the first class, if the third boundary value condition is satisfied at its nondegenerate boundary and the given derivative values are satisfied at its degenerate boundary, then its solution is existent and unique.

摘 要 运用逼近理论及矩阵理论证明：如果一类退化椭圆型方程在非退化边界上满足第三边界条件，在退化边界上满足给定微商值，那么它的解是存在且唯一的。

Since this is a transcendental and nonClinear function, devices of this type use an approximation for this relationship.

由于这是一个超越和nonClinear功能，这种类型的设备使用这种关系的一个近似。

Based on the approximation of numbers in Q format, fixed point is used to approximate the value of trigonometric function of the rotation matrix in the algorithm.

该算法根据Q格式数对浮点数的近似，采用定点逼近旋转矩阵中的三角函数值。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。