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In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex. ==Definition== A real-valued function on an interval (or, more generally, a convex set in vector space) is said to be ''concave'' if, for any and in the interval and for any in (), : A function is called ''strictly concave'' if : for any in (0,1) and . For a function , this definition merely states that for every between and , the point on the graph of is above the straight line joining the points and . A function is quasiconcave if the upper contour sets of the function are convex sets. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「concave function」の詳細全文を読む スポンサード リンク
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