应用函数

We can not apply Galerkin methods with radial basis functions to the first boundary value problem (the Dirichlet boundary value problem) of the second-order elliptic equation, because it requires that the approximate functions should fit the essential boundary condition, while the spaces spanned by the radial basis functions fails to satisfy this kind of boundary condition, and it is the same for the higher-order elliptic equation.

我们不能直接应用这样的无网格算法求解二阶椭圆型方程的第一类边值问题(Dirichlet边值问题)，因为第一类边界条件是本质边界条件(对二阶椭圆型方程为Dirichlet边界条件)，而径向基函数的支集通常是全空间，由它们所生成的近似函数空间一般不满足这样的条件。

In this paper chip shapes were recognized by using of radbas neural network. We put forward area ratio feature, Euler number feature, etc. geometry feature of chip shape image and thing of those features as inputting vector of neural network. Adopt radbas neural network and training the network using RLS.

研究了径向基函数神经网络在硬质合金刀具切屑形态图像识别中的应用，提出了面积比、欧拉数、分散度等硬质合金刀具切屑形态图像的几何特征，以上述特征作为神经网络的输入矢量，利用径向基函数网络，采用了递推最小二乘法训练该网络。

The factors of calculating accuracy are analyzed. Finally, the common process and conclusions of exponential type error estimate on RBF collocation method are given. The error estimates of nonlinear Poisson equation and plane piezoelectric structure are obtained using RMQ basis function.

最后，给出径向基函数指数型收敛误差估计的一般过程和结论，并将RMQ基函数应用到非线性Poisson方程和平面压电结构的误差分析，它们分别具有O λc /h(来源：b8ABC论文网www.abclunwen.com和O的误差估计。

Present a Ambiguity Function based on Fractional Fourier Transform. Its properties are studied. The application is discussed carefully that how to extract cube phase information by the Fractional Ambiguity Function.

给出了基于分数阶傅立叶变换的模糊函数，研究了它们的性质，重点讨论了分数阶模糊函数在三次相位信息提取中的应用。

Based on the normative fractional Fourier transform and the concept of the optical transfer function, using the linear system theory, the mathematic expressions of fractional transfer function in Fresnel diffraction system and Fraunhofer diffraction system are given respectively.

基于规范光学分数傅里叶变换，从光学传递函数概念出发，根据菲涅耳衍射、夫琅和费衍射定义，应用线性系统理论，分别给出了菲涅耳与夫琅和费衍射系统在规范分数傅里叶变换下的光学传递函数数学表达式。

As applications, it gives convexities of two types of means and a function invoving the Gamma function.

作为应用，它给出了二类平均和一个与Gamma函数有关的函数的凸性。

With the popularization and application of computer-making-graph technique in all trades and professions, this new technical medium is widely used in graph of function teaching as auxiliary mathematical classroom teaching at home and abroad, as strongly advances an in-depth study in graph of function teaching.

伴随着电脑作图技术在各行业的普及与应用，国内外函数图像教学中普遍采用这一新的技术手段辅助数学课堂教学，有力的促进了函数教学向纵深阶段发展。

In this paper,we psesented that the principle of least action or Hamilton principle is ample and necessary condition of Lagrangian equation,pointed out the properties of Lagrangian function briefly,and gave the generalization and application of Lagrangian function in physics.

本文论述了力学最小作用量原理或哈密顿原理是拉格朗日方程的充分必要条件，简述了拉格朗日函数的性质，指出最小作用量原理及拉格朗日函数在物理学中的推广及应用。

In addition, Bycore provides a simple mechanism for the management of completion of the interruption, the application only concerned about the interruption of a logic, and then interrupt handlin

另外，Bycore提供了一套简单的机制完成对中断的管理，应用程序只需关注一个逻辑的中断，然后指定中断处理函数，Bycore在中断发生时，中断处理函数就能被回调。

In this dissertation, digital lock-in detection techniques under integer period sampling and non-integer period sampling are separately investigated (1) Under integer period sampling, digital signal sequence is acquired through sampling the measured signal, but digital reference sequence is acquired through mathematical operation, then digital lock-in detection can be realized by calculating crosscorrelation function of digital signal sequence and digital reference sequence Harmonic measure is also analyzed, and a method of measuring harmonic of a periodic signal under aliasing is put forward.

本文对使用采样ADC把模拟信号转换为数字信号并通过计算数字信号的相关函数来实现锁定检测的技术进行了研究，在此基础上设计了一个多功能的数字LIA并在一些科学实验中进行了应用。本文对整周期采样和非整周期采样时的数字锁定检测技术分别进行了研究。(1)在整周期采样时，对被测信号进行采样得到信号序列，而参考序列由数学运算得到，通过计算信号序列和参考序列的互相关函数就可实现锁定检测。

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。