* -积的几何解释(英文)

A geometric interpretation of * - product

设 f∈ C0 ( I)是个单峰函数 .若 K ( f) =AC* B,则存在闭子区间 J I使得 ( f| A| + 1) |J:J→ J是个单峰函数 (当 AC为偶时 )或反单峰函数 (当 AC为奇时 ) ,且 K ( ( f| A| + 1) |J) =B.从而得到 *积的几何解释 .

Let f∈C 0(I) be a unimodal map.If K(f)=ACB,then there exists a closed subinterval JI such that (f ｜A｜+1 )｜J:J→J is a unimodal map (when AC is even)or an anti unimodal map (when AC is odd) and K((f ｜A｜+1 )｜J)=B.Thus we get a geometric interpretation of  product.