我只包括在未来一段导数的定义。
I will just include a definition of the derivative in the next section.
好的，那就是偏导数的定义。
最后给出了高阶相对导数的定义，并通过实例加以说明。
Finally, the definition of higher relative derivative is given. Further, we give an interpretation by an example.
我们知道，极限是导数知识的基础，对于学习导数的定义具有重要的作用。
We know that the limit is the basis for derivative knowledge, for learning an important role in the definition of the derivative of.
利用多元函数极值的定义和偏导数的定义公式证明二元函数与一元函数在某点取得极值的关系。
This article use the diverse function extremum and the local derivative's definition formula to prove the relation between extremum obtained by the two function and the dollar function at some point.
计算偏导数的办法没这么麻烦，因为我们有常规的方法，因此我们不需要通过定义去求偏导数。
And, we'll actually learn how to compute their partial derivatives without having to do this because we'll just have the usual methods for computing derivatives.
有必要对加速度给出一个严格的定义，加速度,作为一个矢量,是速度的一阶导数。
So, the definition will take effect. The acceleration is as a vector, and the acceleration vector is just the derivative of a velocity vector.
但必须注意的是，经典的定义，分数导数在情商。
It is important to note that the classical definition of fractional derivative in Eq.
本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。
The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
这种分解可以给出高阶张量协变导数的另一种定义。
This decomposition may give another definition of high order tensor's covariant derivative.
通过把高阶张量写成若干逆变和协变矢量的乘积，直接从变换入手，给出了定义高阶张量协变导数的另一种方法。
This paper discusses another way, which is rewritten as product of a few contravariant vectors and covariant vectors, to define higher order tensors covariant derivative through transformations.
然后利用正切锥方向导数定义一类正切锥F凸函数类，并给出了（VP）正切锥真有效解的充分性条件；
Then, we define a class of tangent cone F convexity in terms of the tangent cone directional derivative, and prove the sufficient optimality conditions for (VP).
讨论了几种不同的方向导数和梯度的定义。
We discuss several different definitions of directional derivative and gradient vector.
借助于这些集合和函数的定义思想，本文定义了E-凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。
In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.
在一元函数广义导数定义的基础上，提出了多元函数广义偏导数的概念，相应地建立了广义偏导数的运算规则，获得了有关的一些性质。
Concept and operation rules of generalized partial derivative of multivariate function are given basis on generalized derivative of single variable function in this paper.
首先，定义了一个函数类的集合，该集合中元素的导数可以由该集合中的元素线性表出；
First of all, a function set is defined, in which the derivative of the elements can be linearly represented by the elements;
本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
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.
极限提供了定义函数的导数和积分的方法。
Limits provide the means of defining the derivative and integral of a function.
在局部连通集上定义了连通b -凸函数；在关于弧的右上导数的基础上，定义了连通- B伪凸，连通b -拟凸函数，推广了B -凸函数。
Then it expands the B-vex functions by defining connected pseudo B-vex and connected quasi B-vex functions in terms of right upper derivative with respect to an arc.
本文在灰函数和灰极限的基础上，给出了灰函数的导数(或灰导数)的定义，并研究了简单灰函数导数。
Based on grey function and grey limit, this paper gives definition to derivate of grey function (or to grey derivate) and studies the derivate of simple grey function.
利用类似微分几何理论的方法，通过引入微分代数系统的m导数，利用微分代数系统无源性定义以及kvp特性的等价定理。
Similar to methods of differential geometry theory, equivalent theorem between differential algebraic systems passivation and KVP property was used by introducing m derivative.
利用类似微分几何理论的方法，通过引入微分代数系统的m导数，利用微分代数系统无源性定义以及kvp特性的等价定理。
Similar to methods of differential geometry theory, equivalent theorem between differential algebraic systems passivation and KVP property was used by introducing m derivative.
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