The graph of a concave function is always below its tangent. 一个凹函数的图象总在它的切线的下方。
On the effect boundary, risk is return's rigid monotony increase by degrees convex function, return is risk's rigid monotony increase by degrees concave function. 在有效前沿上,风险是收益的严格单调递增凸函数,收益是风险的严格单调递增凹函数。
Category of Concave Function 凹函数的范畴
There are concave function and convex function, which are of extensive application in many aspects, especially in inequality proof and error estimate. In this paper a kind of property about the special functions will be concluded through formula of Taylor. 凹(凸)函数有很多特性,这些性质可广泛应用于不等式证明及误差估计等方面,利用泰勒公式研究这类特殊函数,可得出一些结论,用这些结论可简便证明某些特殊不等式。
A branch and bound algorithm for solving maximizing a concave function over weakly-efficient 弱有效集上凹函数极大问题的分枝定界算法
In this paper, concave function and its properties are discussed. And concave function's application in optimization are shown as well. 研究与凸函数对应的凹函数及其性质,并指出了凹函数在最优化中的应用。
Study on the Convex and Concave Character of Roundness Error Objective Function 圆度误差目标函数凸凹性的研究
An algorithm was presented to approximately measure the character width using the concave and convex of string profiles. Conjugate of concave function 提出了利用字符上下轮廓的凹凸特征检测字符的近似宽度.凹函数的共轭
Category of Concave Function Way to Prolonging Life of Punch 凹函数的范畴提高凸模寿命的途径
There are convex function and concave function, Which are of expansive application in many aspects, especially in inequality proof and error estimate. 凸(凹)函数有很多特性,这些性质可广泛应用于不等式的证明及误差估计等方面。
Minimizing a concave function subject to a reverse convex constraint 带有一个余凸约束的凹极小
Medical Image Registration Based on Mutual Strictly Concave Function Measures 基于互严格凹函数测度的医学图像配准新方法
Two Results of Multidimensional Concave Function with Exponent Analysis 多维凹函数指数分析的两个结果
Jensen's Inequality for g-Expectation on Convex ( Concave) Function g-期望关于凸(凹)函数的Jensen不等式
This paper proves the converse propositions of the higher order Cauchy Mean Value Theorem and higher order Lagrange Mean Value Theorem under concave and convex function and strictly concave and convex function. 在函数凹凸和严格凹凸的条件下,文章引出并证明了高阶Cauchy中值定理和高阶Lagrange中值定理的4个逆命题。
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。
If f is a differentiable convex ( concave) function on an interval I; 设f是区间I上的一个可微凸(凹)函数。
The theory of convex function and its conjugate function have been discussed in [ 3]. In this paper, we mainly talk about the theory of concave function and its conjugate function, these theory is important either in the duality of convex programming. 有关凸函数及其共轭函数的理论,在文献[3]中有较为详尽的论述,本文着重介绍凹函数及其共轭函数的相关理论,这些理论在对偶凸规划中同样发挥着重要作用。
The Application of Convex Functions Category of Concave Function 凸函数的应用凹函数的范畴
A sufficient and necessary condition for a multiplicative convex function to be a multiplicative concave function 积性凸函数且是积性凹函数的充分必要条件
A Note about Definition of Concave& Convex Function 关于函数凹凸定义的一个注解
Conjugate of concave function 凹函数的共轭
An Extensiveness on the Concave-convex Property of Function through Formula of Taylor 用泰勒公式研究函数凹凸性的一种拓广
Concave Function and Optimization 凹函数及其最优化
In this paper, gray scale image is looked as digit watermarking. the pixel of the watermarking is embedded into the host image by the property of the concave and protruding of the function. 文章把灰度图像作为数字水印,提出利用函数的凹凸性来嵌入数字水印。
This paper will introduce and recount more completely the concepts and some properties of quasi-concave function, the relation between quasi-concave and concave function. 这篇论文结合函数拟凹性在数学方面和经济学应用中的发展、比较完整地介绍和叙述了拟凹函数的概念及其一些性质、拟凹函数和凹函数的关系;
New Proofs and Its Application of Concave Function 函数凸性判定定理的证法及应用
A Note On Mean Value Inequality of The Power about the Convex Function and Concave Function 关于凸函数和凹函数的幂平均不等式的一个注记
Decomposition approach for the global minimization of concave function 凹函数整体极小的分解算法
Discussing about Convex and Concave Function of Nature 关于函数凸(凹)性问题的讨论