1) One side Directional Derivative
单侧方向导数
2) unilateral derivative
单侧导数
1.
Unilateral Derivative and Its Effects on the Property of Function;
单侧导数及其对函数性态的影响
2.
The generalized Law of Mean with unilateral derivative and its asymptotic features of the “centred dot” are studied.
本文研究了单侧导数的广义中值定理及其“中间点”的渐近性质 ,进而获得了更广泛的结果。
3.
By means of the unilateral derivative being a little less than conditions,not derivative,it is dicussed that the monotonously of function is differented.
讨论了不用导数 ,而用较弱的条件单侧导数也能判别函数的单调性问
3) one-sided derivative
单侧导数
1.
The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.
给出了函数在原点可导的判定方法及求函数单侧导数的简便方法,并给出了这些方法的应用例子。
2.
It associates one-sided derivative with symmetric derivative to discuss the functional convex, whose condition is weaker than present reference.
把单侧导数与对称导数结合起来,以更弱的条件讨论函数的凸性,给出了凸函数的一个充要条件。
4) Single Side Derivative
单侧导数
1.
Single side Derivative and the Single side Limit of the Derivative are the two important concepts in calculus.
单侧导数与导数的单侧极限是微积分中两个重要概念,在求分段函数的导数,付里叶级数中都有其广泛的应用,本文讨论了这两个概念的关
5) directional derivatives
方向导数
1.
A set of first-order necessary optimality conditions based on the the upper and lower bounds of directional derivatives of the optimal value function of lower problem are proposed.
首先,利用下层问题最优值函数的方向导数的上下界的性质给出一阶最优性条件。
2.
The directional derivatives of the multiple eigenvalues are obtained.
本文研究解析依赖于多参数的二次特征值问题重特征值的灵敏度分析,得到了重特征值的方向导数,证明了相应的特征向量矩阵和特征值平均值的解析性,给出了其一阶偏导数的表达式。
6) direction derivative
方向导数
1.
The extreme value of binary function at f_(xx)f_(yy)-f~2_(xy)=0 is judged by its direction derivative which follows ray starting from stable point and passing point P at every point P in noncentral neighborhood of stable point.
用驻点的去心邻域内各点P处函数沿以驻点为端点的过点P的射线方向的方向导数是否同号,来判定二元函数f(x,y)在fxxfyy-f2xy=0时的极限。
2.
This paper introduces the use of lagrange multiplier method and direction derivative method to solve the conditional extreme problem,and makes a comparison between these two methods.
通常我们在求函数条件极值问题时,原则上将条件极值问题转化成无条件极值问题来进行求解,本文介绍了利用拉格朗日乘数法和方向导数法来解决条件极值问题,并将这两种方法进行了比较。
3.
Using definition of Direction derivative of E-convex functions,it is obtained that characteristic theorem of Direction derivative of E-convex functions and applying this theorem it is obtained that some properties of Direction derivative of E-convex functions which are verified.
在E凸集上,引进E凸函数,定义了广义实值函数的方向导数即沿给定方向的变化率。
补充资料：方向导数
一个多元函数在一点处某个射线方向上变化时对于距离的变化率。例如三元函数u=??(x,y,z)在一点(x，y，z)处,在给定方向角(α,β,γ)的方向n上的方向导数是
如果在这变化率中同时考虑到指向恰好相反的那条射线，并令其中的距离带上负号，那就得到对称的方向导数。这样对称化了的方向导数在各个坐标轴方向上便与一般的偏导数一致。而且,在后者都连续的前提下,可以通过后者来表示；如在上例中便有
。
如果在这变化率中同时考虑到指向恰好相反的那条射线，并令其中的距离带上负号，那就得到对称的方向导数。这样对称化了的方向导数在各个坐标轴方向上便与一般的偏导数一致。而且,在后者都连续的前提下,可以通过后者来表示；如在上例中便有
。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条