In this paper, We availed the property of geometic convex function generalized a kind of important sum inequality and obtained some new conclusions.
文章利用几何凸函数的性质推广了一类重要的和式不等式，得到了一些新的结论。
The paper constructs a new optimal target function for feed forward neural networks according to convex optimization theory and constraint optimization theory.
该文利用凸优化理论和约束优化理论为前馈神经网络构造出了一个新的优化目标函数。
A branch and bound methods is proposed for minimizing concave function over a convex.
本文介绍了求解凸集上凹函数最优解的一种分支定界方法。
It is proved that the optimality conditions are also sufficient if the objective function is a convex function of the plastic limit bending moment.
当目标函数是塑性极限弯矩凸函数时，证明了这一最优性条件也是最优解的充分条件。
This article gives a spreading form of the mean value theorem of differential and applies the gained results to the quality of convex function.
给出了微分中值定理的一个推广形式，并将所得结果应用于凸函数性质的研究。
To the nonconvex programming, the article makes it local convexification by introducing a simple penalty function into the objective function, and solves it like solving convex programming.
针对非凸规划，本文引进一简单的惩罚函数将其局部凸化，然后用凸规划的方法求解。
According to the character of expected information, the article proposed a new ID3 algorithm of decision trees to reduce the complexity of computing expected information by the convex function.
根据ID3算法中信息增益计算原理的特点，利用上凸函数的性质提出一种新的改进的ID3算法，减少了信息增益的计算量，进而提高ID3算法中信息增益的计算效率。
The criterion or cost-function with respect to the complex tap-weight vector of the equalizer and to the error probability is strictly a convex function.
该准则或价值函数是关于均衡器抽头权矢量和误差概率的严格凹函数。
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。
Generalized support function is a very important concept in plane convex sets, it play a crucial role in discuss kinematic measure of convex sets.
广义支持函数是平面凸域的一个非常重要的概念，它在讨论凸域的包含测度问题中起关键的作用。
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed.
基于模糊数空间的一种新的序关系，给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理，并讨论了它们的关系。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
A method of image threshold based on a convex polynomial fuzzy entropy is proposed by replacing Shannon's function of fuzzy entropy with a convex polynomial.
采用一种凸多项式代替模糊熵中的香农函数，提出了基于凸多项式模糊熵的图象阈值方法。
We establish a Lagrange multiplier theorem for strict efficiency in convex settings and express strict points as saddle points of an appropriate Lagrangian function.
讨论凸多目标最优化问题的严有效解，建立了拉格朗日乘子定理，并把严有效解表示为一个适当的拉格朗日函数的鞍。
Abstract: a method of image threshold based on a convex polynomial fuzzy entropy is proposed by replacing Shannon's function of fuzzy entropy with a convex polynomial.
文摘：采用一种凸多项式代替模糊熵中的香农函数，提出了基于凸多项式模糊熵的图象阈值方法。
In this paper, a bundle method for the minimization of the convex nonsmooth function in point by point maximum is suggested.
研究了用束方法求解非光滑逐点最大凸函数的极小化问题。
Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。
This paper investigates the existence of complex support functional of a convex function in complex linear spaces and the complex numerical ranges of the complex support functionals on a point.
采用子空间中支撑泛函延拓的方法，构造出在复线性空间任意点上的复支撑泛函；确定在同一支撑点上复支撑泛函的数值域，从而得到复支撑泛函具有唯一性的充分必要条件。
By using the generalized support function, we can get the integral for the power of chords of a convex set.
本文研究了凸域内定长线段的包含测度问题，利用广义支持函数和限弦函数，得到了一类特殊凸域的包含测度。
By using the generalized support function, we can get the integral for the power of chords of a convex set.
本文研究了凸域内定长线段的包含测度问题，利用广义支持函数和限弦函数，得到了一类特殊凸域的包含测度。
应用推荐