极值函数

词组短语

extremal function

与极值函数相关的网络例句 [注：此内容来源于网络，仅供参考]

Zhang's works. The integral method is proposed by Prof. Zheng in 1978. The method has a global convergence criterion, and only requires a the continuity of objective and constraint function.

郑权等于1978年提出了积分水平集求总极值的方法，其主要特点有判别总极值的收敛准则，且仅需假定目标函数与约束函数为连续的。

Baernstein[2] gave the conclusion by using Koebe function as the extremal function , Glenn Schober[6] studied the classes such as S, P, K, S* of H and represented these functions with integral formulations. Wang Jian[3] and others investigated the integral mean values. Our work is continuation of their work.

Baernstein首先在单位圆上讨论给出了以Koebe函数作为极值函数的结论，Glenn Schober对H中一些函数子类如S、P、K、S~*等作了研究，将这些子类上的函数用积分表达出来，王键结合Baernstein~*函数的定义及Glenn Schober的结论，定义了对称集的概念并得出了一些函数类在其上的积分平均。

The interest is in extremal functions: those making the functional attain a maximum or minimum value.

变分法 最终寻求的是极值函数：它们使得泛函取得极大或极小值。

This paper introduce Lagrange multiplier method and its expandings first, and show the necessary condition of Multivariate function's extreme value, and use it to solve the Multivariate function's extreme value problem.

本文首先介绍了拉格朗日乘数法及其拓展，给出了多元函数条件极值的必要条件，并利用它求解了多元函数的条件极值问题。

With the discussion of extreme value problem of the multiple-valued function,and the popularizing of extreme value theory of the two-value function,This paper obtains differentiation rule about the extreme value of the multiple-value function,and illustrates the apllication of the theory with the example,providing proper guidance for the teaching of calculus.

文章讨论了多元函数的极值问题，并将二元函数的极值判定定理加以推广，得到关于多元函数极值的判定法则，并举例说明其应用，这对微积分的教学有一定的指导意义。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快，稳定性好；③提出了一种基于样条函数拟和的学习算法，由于样条函数具有很好的柔韧性和二次光滑性，将网络输入函数和连接权函数用样条函数的形式表示，可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题，从而可借助于现有的神经网络学习算法训练过程神经元网络；④建立了一种基于Walsh函数变换的学习算法，利用Walsh函数系的完备正交性，可大大降低网络计算的复杂度。

Extremum of the free multi-function method, multi-function conditions for extremum method.

多元函数自由极值的求法，多元函数条件极值的求法。

The LMD algorithm uses extrema to define the local mean and envelope, then to smooth the mean and envelope. To decrease errors in the smoothing process by using moving averaging, a new local mean and envelope definition method (the spline-based LMD) is proposed. The upper envelope and the lower envelope are obtained by connecting the local maxima and the local minima using a cubic spline line. The local mean is defined as a mean of the upper envelope and the lower envelope. A nonlinear simulation signal and a practical vibration signal are decomposed by the LMD and the spline-based LMD.

LMD算法用极值点来定义局部均值函数和局域包络函数，然后用滑动平均来平滑均值和包络函数，针对用滑动平均平滑均值和包络函数误差较大的缺点，提出了采用三次样条对上、下极值点分别插值求得上下包络线，然后由上下包络线的平均获得局部平均函数，由上下包络线相减的绝对值获得局部包络的方法。

Some methods of deciding the extreme values for the monadic functions and two-place functions were applied to decide the extreme values for the multivariate functions and then some effective methods of deciding the extreme values for the multivariate functions were presented.

将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别，提出了判定多元函数极值的几个方法。

与极值函数相关的网络解释 [注：此内容来源于网络，仅供参考]

calculus of variations：变分法

变分法(calculus of variations)是处理函数的函数的数学领域.和处理数的函数的普通微积分相对.譬如.这样的泛函可以通过未知函数的积分和它的导数来构造.变分法最终寻求的是极值函数:它们使得泛函取得极大或极小值.有些曲线上的经典问题采用这

extremal element：极值元素

extremal 极值曲线;极值的 | extremal element 极值元素 | extremal function 极值函数

extremal function：极值函数

extremal element 极值元素 | extremal function 极值函数 | extremal length 极值长度

extremal length：极值长度

extremal function 极值函数 | extremal length 极值长度 | extremal point 极值点

extremal：极值曲线;极值函数

extrema extremum的复数 | extremal 极值曲线;极值函数 | extremalization 极端化

generalized local extremum：广义局部极值

广义解析函数|generalized analytic function | 广义局部极值|generalized local extremum | 广义卷积|generalized convolution

minimax solution：极大极小解,极小极大解,极值解

minimax search in game trees 博弈树极大极小搜索 | minimax solution 极大极小解,极小极大解,极值解 | minimization of Boolean function 布尔函数的最小化

Optimization Toolbox：包含求函数零点,极值,规划等优化程序的工具箱

Nonlinear Control Design Blockset 非线性设计模块集 | *Optimization Toolbox 包含求函数零点,极值,规划等优化程序的工具箱 | *Partial Differential Equation Toolbox 偏微分方程工具箱

extrema：极值

extraterrestrial radiation 地球外的(行星际的)辐射 | extrema 极值 | extremal 致极曲线,致极函数

extrema：寻找一个表达式的相对极值

value - 求值的惰性函数 | extrema - 寻找一个表达式的相对极值 | minimize, maximize - 计算最小值/最大值