通过将问题化为非线性算子方程，推导出算子的形式导数，给出了线性化问题解的等价表达。
By reducing the MREIT problem to a nonlinear operator equation, the formal derivative of the operator and the formula of solution for linearization problem are given.
首先，简要介绍了三种主要的求和方法。然后，根据高阶等差数列通项的特性，利用新定义的形式导数列对其进行了有效的探讨。
We first introduce three methods of finding the sum of the first n terms for an arithmetic sequence of higher order, and then display another method by some formal derivatives of which are defined.
针对对称导数、对称偏导数，给出了一些新形式的微分中值定理。
In this paper, symmetric derivative and symmetric partial derivative are researched and some new differential mean value theorems are defined.
与常用的拉格朗日插值方法相比，改进后的公式不仅一阶导数形式简单，而且计算量也小得多。
The improved formula not only has the more simple form for the derivation of the function, but also much less computer time than the Lagrange method.
本文对磨光函数的连续形式及离散形式给出了各阶导数的误差估计。
In this paper, error estimations on the derivatives of finite orders for continuous and discrete forms of smoothing functions, are given.
将求两个函数的乘积的高阶导数的莱布尼兹公式作了多种形式的推广。
In this paper various forms for the Leibniz formula have been given.
这些公式使得这些点子上的导数近似式是非对称形式。
These formulas make the approximations for the derivatives at these points in a nonsymmetrical manner.
压力导数的子波变换曲线具有明显的形态特征，它是一种正负相间、具有振荡形式的曲线。
Pressure characteristic function curve with significant characters is one kind of curve with oscillation shape and its value between positive and negative.
针对目前在工业机器人的执行机构运动研究中，缺少高效的分析方法的现状，本文提出了一种新方法——三维矢量的复指数形式并探讨了应用该法表示三维矢量的坐标变换形式及其导数形式。
Aimed at the situation lack of efficient analysis tool in the study of the industrial robots executor motion, a new method, the complex index form of the 3 dimensional vectors, is put forward.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
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