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。
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。
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。
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。
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。
The production function is concave with decreasing returns.
生产函数是凹性的，边际报酬递减。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
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