由于这是一个凹函数，它不仅仅是期望值。
Since this is a concave function, it's not just the expected value.
一个凹函数的图象总在它的切线的下方。
The graph of a concave function is always below its tangent.
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。
A branch and bound methods is proposed for minimizing concave function over a convex.
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。
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.
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。
In this paper, concave function and its properties are discussed. And concave function's application in optimization are shown as well.
证明：如果一个公司的生产函数是凹函数，那么它的利润函数也是凹函数。
Show: If the firm's production function is concave, it's profit function is concave.
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。
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.
分析了三种不同的凹函数预测模型，提出了一种适合硬件实现的运动估计快速半像素级搜索算法。
A fast half-pixel motion estimation algorithm is proposed after analyzing three different mathematical prediction models based on concave functions.
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。
There are convex function and concave function, Which are of expansive application in many aspects, especially in inequality proof and error estimate.
这两种函数特征都是一曲率凹向上的图象，它表明随着降雨量的增大，单位降雨量所引起的土壤侵蚀量在逐步增大。
Both of the two function are convex curvature images, which shows that with rainfall increasing, the amounts of soil erosion resulting from per unit rainfall increases step by step.
生产函数是凹性的，边际报酬递减。
利用凸（凹）函数的定义和泰勒公式给出了凸（凹）函数的几个判别法。
To gain sevrial decision method of convex (concave) function by the definition of convex(concave) function and Taylor formula.
利用凸（凹）函数的定义和泰勒公式给出了凸（凹）函数的几个判别法。
To gain sevrial decision method of convex (concave) function by the definition of convex(concave) function and Taylor formula.
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