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D resistivity inversion of a vertical line source of current and a method of constructing Jacobian matrix are introduced in this paper.

本文叙述了相应的反演理论和偏导数计算方法。

Convolutional differentiator is obtained by inverse Fourier transform of bandlimited Fourier spectra of partial derivative operator. CD is symmetric or antisymmetric and decays rapidly.

褶积微分算子是将偏导数算子的带限傅氏谱进行反傅氏变换得到的,具有对称或反对称和衰减速度快的特点。

When using restricted maximum likelihood for parameter estimation, we need to get the minimum of a function. But if the expression of the function is complicated, it is difficult to obtain the derivatives of the function. We introduced conjugate direction method which avoided the derivatives.

在用限制极大似然法估计参数时,需解决函数的极小化问题,而当函数的表达式较为复杂时,将难以获得其偏导数,本文给出的共轭方向法,避开了求导问题。

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。

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。

Theorem 1 Suppose the function is differentiable at,then its partial derivative at exist, and the total differential of

定理1如果函数在点可微分,则该函数在点的偏导数必定存在,且函数在点的全微分为。

As we all know, if the two partial derivations of binary function are continuous ,the function is differentiable.

摘要众所周知,当二元函数的两个偏导数都连续时,函数可微。

The variational problems of the complete functional in calculus of variations are studied deperding on the arbitrary arguments,arbitrary multivariable functions and arbitrary-order partial derivatives of multivariable functions.

研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题;提出并证明了完全泛函的变分问题的定理,采用偏微分算子,给出了完全欧拉方程组。

And in the process of producing the concepts of the total derivative and the partial derivative are confused.

而且在整个推导过程中,对于全导数和偏导数的概念没有分清楚。

Its derivative at is called the partial derivative of with respect to at and is denoted by .

它在的导数叫做在关于的偏导数,记作。

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