讨论了一个用正方形列填充正方形的问题.首先给出填充函数的定义:对于0〈x〈1,用Ps(x)表示能用正方形列|Qn|n=0^∞所填充的最小正方形Q的边长,其中Qn的边长为xn且其边与Q的边平行放置.然后得出了Ps(x)的界及相关结果.
A problem on packing squares with squares is discussed. Firstly the definition of the packing function is given: for 0 〈 x 〈 1 denote by Ps (x) the length of the side of the smallest square Q that can be packed by the sequence | Qn|n^∞= 1 of closed squares, where Qn has side of length x^n, and is placed so that their sides are parallel to those of Q. Finally the bounds of Ps (x) and the corresponding results are obtained.