查询词典 approximate differentiability

The product of Fourier series and a finite sum of complex Gaussian functions is used to approximate the window function of a hard-edged aperture, an improved algorithm for the beam propagation through a paraxial ABCD optical system with hard-edged aperture is proposed.

使用傅里叶级数与有限个复高斯函数之和的乘积作为硬边光阑的窗口函数的近似式，提出了含硬边光阑近轴ABCD光学系统对光束变换的改进算法。

With aperture expanded as the sum of finite complex Gaussian terms, a more practical approximate analytical solution of fractional Fourier transform of Gaussian beam in an apertured paraboloid refracting system is obtained and also numerical investigation is presented.

通过将孔径函数展开为有限项复高斯函数之和，得到了高斯光束在受孔径约束的抛物面折射系统中分数傅里叶变换较符合实际的近似解析表达式，并进行了数值模拟。

By using the method of expanding the aperture function into a finite sum of complex Gaussian functions, approximate closed-form propagation equations of TMn0-Gaussian beams diffracted by hard-edged parallelogram aperture s are derived.

通过将硬边光阑函数展为复高斯函数之和的方法，在直角坐标系下研究了TMn0模高斯光束通过有平行四边形光阑的衍射，得到了近似的解析传输公式。

Calculus can be used to find approximate solutions to equations, in methods such as Newton's method , fixed point iteration , and linear approximation .

积分可以用来寻找近似解方程，在方法，如牛顿法，不动点迭代和线性近似。

In complete convex metric spaces , we use Ishikawa iterative process to approximate common fixed point of quasi - contractive mapping pair.

在完备凸度量空间中，运用广义的Ishikawa迭代序列列逼近拟压缩映射对的公共不动点。

Through simulating the foraging behavior of the ant society, swarm-intelligence-based routing algorithms can hopefully provide approximate solutions to the above mentioned NPC routing problems.

基于Swarm Intelligence的路由算法是人们的一种新的尝试，它模仿自然界蚂蚁的觅食行为，为寻求具有NPC难度的路由问题的近似解提供了新的思路。

The stoical and global environment is given, which is abstracted with grid method before the workspace model of the robot being built. With the adoption of the ant colony algorithm, the foraging behavior of ant colony is simulated. According to the optimization condition, the robot tries to find a path which is optimal or optimal-approximate path from starting point to goal, that is global path planning.

本文讨论的机器人环境为静态全局环境已知，通过栅格法对已知环境进行抽象，建立机器人工作空间模型，并采用蚁群算法，模拟蚂蚁觅食行为，根据优化条件搜索出一条从指定起点到终点的最优或近似最优路径，即全局路径规划。

The feasibility of using approximate function p in the analysis of forging procedure of screw press is discussed.

本文阐述了研究螺旋压力机锻击过程的分析法，探讨了应用近似函数型P曲线分析螺旋压力机锻击过程的可行性。

Then, a group of beelines are used to approximate the boundaries of the plates and the Fourier expansion method is applied to the boundary conditions along the plate boundaries.

其次，用一组直线段近似板的边界，并对边界作Fourier展开，作相应的阶次截断后，得到固有频率方程。

Then, a group of beelines are used to approximate the boundaries of the plates and the Fourier expansion method is applied to the boundary conditions along the plate boundari...

其次，用一组直线段近似板的边界，并对边界作Fourier展开，作相应的阶次截断后，得到固有频率方程。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。