作为引子，你们可能已经知道了，一元微积分里面的一个小把戏，也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
一种考虑这个问题的办法是，如果你还觉得，二重积分是求体积的话，那这个度量的，就是函数1的图形下的体积。
One way to think about it, if you're really still attached to the idea of double integral as a volume what this measures is the volume below the graph of a function one.
下面是一个样例spl函数，它利用了包装来自MATLAB的ml_inv函数的矩阵求逆函数ml：inv。
The following is a sample SPL function that utilizes the matrix inverse function ml: : inv that wraps the ml_inv function from MATLAB.
传统风煤比寻优通常采用求解燃烧函数解析式，再求极值得出最佳风煤比，这一方法可靠性差而且工作量大。
In traditional ways, the optimal air coal ratio is obtained by solving combustion function and finding out the extremum, which is time consuming and unreliable.
求随机变量函数的分布是概率论中的一个重要课题，无论是在理论还是在应用上都有着十分重要的意义。
Solving the distribution of random variable function which is of great significance whether in theory or in application is an important question in probability theory.
该文首先给出了求在线性约束下极小化有限个阶梯函数和的一种分枝定界算法。
This paper first presents a branch-and-bound algorithm to minimize a finite sum of stair-case functions under linear constraints.
文中将GA用于三次样条函数拟合的系数求解，避开了矩阵求逆的繁琐问题，结合具体例子作了一些探索。
GA is used to obtain coefficients of cubic spline function fitting to avoid the inverse of the matrix and some work is made with an example.
支持向量机方法能够解决小样本情况下非线性函数拟合的通用性和推广性的问题，是求复杂的非线性拟合函数的一种非常有效的技术。
The problems of universality and extensibility in nonlinear function approximation using small samples can be solved by the method, it a very efficient technique for nonlinear function approximation.
给出了一个利用福里哀系数求非常值的连续周期函数的最小正周期的有效方法。
A useful method is given which can count the least positive period of a continuous function by Fourier coefficients.
本文利用目标函数和约束函数的线性下界估计，提出一种求(SGP)问题全局解的线性松弛方法。
By utilizing the linear underestimation of objective and constraint functions, a linear relaxation method is proposed for finding global solution of SGP.
就此讨论一类等比级数在求幂级数的和函数以及将函数展开成幂级数时的应用。
In this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.
本文提出一种求符号网络函数的分类生成树组方法。
This paper presents a new method of generating tree-team classification for producing symbol network functions.
第二换元积分法是求函数不定积分的一种重要方法，具有一定的适用范围，对某些无理函数的积分的求解通常使用该方法。
The integration by second substitution is an important method of calculating indefinite integral, it has a certain application, it usually applies to calculate some integrals of irrational function.
由原函数与反函数的关系、分部积分公式以及变量代换得出利用反函数法求不定积分的一系列积分公式。
This paper give a series Integration formula of indefinite integral by inverse function method, which use the relationship of a function and its inverse function and the Integration by parts.
受二元多项式插值的迭加算法的启发，给出一种简便的求有理插值函数的方法，同时通过实例进行验证。
Enlighened by the superposed algorithm of two element polynomial interpolation, we present a simple method of finding rational interpolation functions.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
The paper provides the theorem of the limit of combination of power and exponent function, which gives us a new method to work out the limit of this kind of function.
本文就二次可微函数类给出一类求大范围极值的区间迭代方法。
In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function.
求由参数方程所确定的函数的高阶导数，提出了一种较为直观、简便的逐次求导方法。
Author presented a concise gradual derivation about higher derivative whose function defined by parametric equation.
文中的多目标规划模型包含两个目标函数，一个是求物料流动总成本最小，另一个是各个设施之间的邻接关联度最大。
In this paper, there is a two-function model, with two objectives, one is to minimize the total logistics flow cost, and the other is to maximize the adjacency-relationship degree among facilities.
幂指函数求极限问题是微积分学中的一个常见问题，同时又是一个难点问题。
The limit problem of power exponent function is common but difficult in differential and integral calculus.
本文首要是谈两者片面的几点以及分离起来妙用停止剖析，首要有以下几个方面：一、求三角函数值。
This article is about the two-sided points, and combine magical effect analysis, mainly in the following aspects: First, find the trigonometric values.
本文通过对开区间内连续可导函数的详细分析讨论，给出了一种求开区间上连续可导函数最 大值和最小值的普遍方法。
This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in open interval by a detailed analysis.
本文采用求极值的数学方法，分别考虑了一次、二次作物产量函数。提出了不同产量函数下适时作业期限合理延迟天数的确定方法，以及依据作物产量函数计算适时性损失的方法。
A method to determine the reasonable prolongation of the proper operating time is proposed in this paper using the differential method according to the linear and parabolic functions of crop yields.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
This paper mainly introduces the method of power exponential function to find out the result of limit in the form of theorem.
建立平面上一个的点类，该类内包含求该点到另一个点的距离的成员函数。
The establishment of a point on the plane class contains requirements that point to another member of the distance function.
建立平面上一个的点类，该类内包含求该点到另一个点的距离的成员函数。
The establishment of a point on the plane class contains requirements that point to another member of the distance function.
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