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Therefore, efficient and accurate calculation of Green's function and its partial derivative is of great significance.

因此,高效、精确的计算Green函数及其偏导数具有重要意义。

This is an all in a row, but not all derivatives of the curve.

这是一种处处连续,但又处处无导数的曲线。

On the basis of classical mechanics,the author derived a series of typical vector and matrix formulas for solving the problems of a particle that takes part in plane complex movements.

本文在经典力学的基础上,提出求解动点作平面复合运动的直接矢量导数方法和矩阵方法的定型公式。

The derivative 〓 t, x (t of the V function along a solution to a determinate ordinary differential system is changed to be 〓V t, x (t for a stochastic ordinary differential system.

众所周知,用Lyapunov直接法来研究随机常微系统的稳定性与研究确定性常微系统的稳定性有许多类似之处,表现在只需要用〓Vt,x(t代替常微系统中V函数沿解的导数〓t,x

Under the information theory, more applications are provided to those back analysis methods. Based on the Duncan-Chang E-B model, which can simulate earth-rock dam's non-linear mechanics behavior well, the paper introduced the nature coordinate system to the stress space. In this way, hydrostatic stress and stress deviator were decomposed each other.

论文以能较好模拟土石坝非线性力学行为的Duncan-Chang E-B模型为基础,通过引入应力空间下的自然坐标系,分解应力球量与应力偏量,从而导出一个在有限元计算中,位移对参数偏导数的闭合形式公式。

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下来的第二章中,首先从基本的分数阶常微分方程出发,对Lubich提出的一个关于分数阶导数的高阶近似,将其应用于分数阶微分方程,构造高阶数值差分格式来进行分数阶微分方程的数值求解,并在理论上给出这一算法的误差分析,证明了它的相容性,收敛性和稳定性。

It is helpful for us to construct difference approximation schemes for HJ equation with aids of schemes for conservation laws.

众所周知,即使在初值条件0是充分光滑的情况下,一般来说,虽可以得到式(1 )的连续解,但其解的导数却是间断的。

To improve the segmentation effection and efficiency, we fulfill the following work:There is an obvious difference between General Fuzzy Operator and other edge detection which based on edge magnitude.

本文在提高图像分割质量和效率方面做了以下几个方面的工作:基于广义模糊算子法的图像边缘检测与其它基于边缘强度依靠导数的边缘检测法明显不同,具有计算量小,检测到的边缘精度高等特点,但是GFO算法中的关键参数需经验、人为确定,影响了该方法的检测效果,限制了其在实际中的推广应用。

The method replaces the grads in gradient method with difference quotient and can be used to many cases.

然后根据此界的特点,提出了基于差商的参数优化算法,用差商代替导数的计算,具有较大的适用范围。

Through the comparison with other learning methods, the conclusion is drawn that the Powell method in which the derivative is replaced by the difference quotient is an eff...

通过与其他学习算法的比较,得出结论:其中用差商近似代替导数的Powel法是一种高效、快速的学习方法,其学习速率比带动量项的学习率自适应的BP算法高一个量级,而比DavidenFletcherPowel、BroydenFletcherGoldfarlShanno等变尺度方法以及其他非线性最小二乘法的稳定性要好得多。

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