So, the fundamental theorem of calculus, not for line integrals, tells you if you integrate a derivative, then you get back the function.
微积分基本定理，不是曲线积分的，告诉我们，如果对函数的导数积分，就会得回原函数。
So, a function of several variables doesn't have the usual derivative.
因此，一个多变量的函数没有通常的导数。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
相当于在一元微积分中，取一个函数的不定积分，仅仅需要在结果后加一个常数。
What I showed you at the beginning, and then erased, basically justifies how to take the derivative of a reciprocal function.
最开始我讲过了，如何对倒数函数求导。
The OTF (Optical Transfer Function) of an optical system can be evaluated by the Fourier Transform of the first derivative of the optical image of an knife-edge (object).
对光学系统输出刀口像的一阶导数做傅里叶变换，可以得到该系统的光学传递函数（OTF）。
The paper gives out a NCP-function; in the paper it is applied to derivative-free method, we can increase the speed of arithmetic.
提出了一种新的NCP函数，并将它应用于自由导数方法，达到了提高算法速度的目的。
This paper begins with reaction kinetics' specific, and proposes an approach to optimization of reaction technology based on the derivative of instantaneous values of objective function.
本研究从认识反应动力学特性入手，提出了基于目标函数瞬时值的导数，确定最优反应工艺的方法。
In this paper, H-transformation is formulated according to the theory of Bessel series. The complete series expressing a function and its derivative are derived.
根据贝塞尔级数理论，建立H变换，导出函数及其导数的贝塞尔级数的完整表达式。
By using the statistic properties of the correlation coefficient, a curve correlation coefficient is calculated, and then the matching point is obtained through evaluating it's derivative function.
利用相关系数在真实匹配点附近的统计特性，通过对相关系数进行曲线拟合，根据其一阶导数确定最大相关系数所在的位置，快速得到亚像素匹配点。
It is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two-dementional cubic convolution interpolation.
它在二维三次卷积插值法的基础上利用三次样条插值法的插值函数具有三阶连续导数的性质而得来的。
And demonstrates the relations between the right (left) limit of function and right (left) derivative.
并讨论说明了导函数的右(左)极限与右(左)导数之间的关系。
Two representations of contingent epiderivative of the value map is given in terms of the derivative of the objective function, the contingent derivative of the constraint .
借助目标函数的导数、约束映射的余切导数及拉格朗日映射给出了值映射的余切上图导数的两个表示。
In this paper, the formula of partial derivative of second order on compound function of many varables is established.
本文建立了多元复合函数的二阶偏导数公式。
The memetics, the highlight and derivative, economic, entertaining function and special context are the main motivations of this discourse.
而模因论、原型彰显、可衍生性、经济性、娱情功能和语境动因则是这一语言现象的主要生成动因。
The criterion extreme value of binary function for first partial derivative is given by means of the mean value theorem. The two theorems are obtained.
以中值定理为工具，给出了利用一阶偏导数判定二元函数极值的方法。
Defining the scope of the plaintiff clearly and setting reasonable conditions of the plaintiff are the foundation of exerting the value and function of the Shareholder Derivative Action System.
明确界定代表诉讼原告的范围，设置合理的股东代表诉讼原告条件是充分发挥股东代表诉讼制度价值功能的重要基础。
A false example is given to educe the discussion of a solution to the derivative of subsection function at the point of subsection.
由一错例引出了讨论导函数在分段点处的左、右极限与对应函数的左、右导数相等的分段函数在分段点处导数的一种求法。
This paper is to discuss the higher-order derivative of many-variables abstract composite function, and to put forward the easy method to this type of questions through substitution.
对多元抽象复合函数的高阶求导进行了讨论，利用代换的思想，得到了对其进行高阶求导的简便易行的方法。
This presents difficulties for most conventional optimization methods, which need derivative information of the objective function.
这对于需要目标函数的导数信息的传统优化方法是很困难的。
Based on the judgement of derivatives of segregative function at segregating points, a new simple derivative method was presented and proved in the paper.
针对分段函数在分段点处导数的判断提出了一种与通常求法不同的、更简捷的方法，并进行了论证。
Limits provide the means of defining the derivative and integral of a function.
极限提供了定义函数的导数和积分的方法。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
In our current accounting format, the revelation of derivative financial instrument accounting information exists only as a form outside of the balance sheet, lacking constraining function.
我国现行的会计模式中，衍生金融工具会计信息的披露只能是表外的形式，缺乏约束力。
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.
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。
The stability of time-delay and time-varying large scale systems with impulsive effect is investigated by means of the comparison principle and vector Lyapunov function with discontinuous derivative.
运用比较原理和导数不连续的李雅普诺夫函数，结合分解集结等方法，研究具有滞后的测度型线性时变脉冲扰动大系统的全局指数稳定性。
This article points out the methods to solve the derivative of piecewise function and discusses the derivative problem at point of demarcation of piecewise function in detail.
本文主要叙述分段函数的求导方法，并对分段函数在分界点处的求导作了细致的讨论。
This article points out the methods to solve the derivative of piecewise function and discusses the derivative problem at point of demarcation of piecewise function in detail.
本文主要叙述分段函数的求导方法，并对分段函数在分界点处的求导作了细致的讨论。
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