31404 回首來時路

"$\ldots$ For many of us one of the great surprises of the conference at Clemson was the paper by Kellogg, Li and Yorke which presented the first computational method for finding a fixed point of a continuous mapping making use of the considerations of differential topology instead of our customary combinatorial techniques. In this paper, the authors show how Hirsch's argument can be used to define paths leading from virtually any pre-assigned boundary point of the simplex to a fixed point of the mapping. $\ldots$"

"$\ldots$ One must prepare to be lucky! $\ldots$"

"沒有人能使

(錄自中學時代看過的一場由華倫比提和娜妲麗華領銜主演的電影, "天涯何處無芳草")

---本文作者任教於密西根州立大學---