Concave Cuts: Tips and techniques for adding sharpening to concave details under subdivision.

凹切：用于在细分下向凹形细节添加锐化的提示和技巧。

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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。

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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。

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Since this is a concave function, it's not just the expected value.

由于这是一条凹曲线,它不只是期待值

耶鲁公开课 - 金融市场课程节选

The idea is that for any amount of money-- if this x is the amount of money that I receive-- utility as the function of the amount of money I receive is downwardly-concave.

这种观点是对于任何数量的货币,假设我得到x数量的货币,随着货币的增加,边际效用呈,向下凹进去的曲线

耶鲁公开课 - 金融市场课程节选

And while there's an indented Kindle logo on the back, we still prefer the Nook's concave rear.

ENGADGET: Amazon Kindle Paperwhite hands-on (Update: video)

The indoor portion of the observation deck includes a pair of over-size, concave mirrors that produce fun-house reflections of visitors.

BBC: Orbiting views of Olympic London

The name contains the shape: a hoh is a ridge that rises to a point and has a concave end.

ECONOMIST: Margaret Gelling