期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
一个用正方形列填充正方形的问题
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1. 天津大学理学院, 天津 300072;
2. 河北职业通信技术学院基础部 河北石家庄 050031;
3. 河北师范大学数学与信息科学学院, 河北石家庄 050016 -
DOI:
A Problem on Packing a Square with Sequence of Squares
摘要/Abstract
摘要:
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.
Abstract:
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 leng th of the side of the smallest square Q that can be packed by the sequence {Qn}n∞=1 of closed squares,where Qnhas side of length xn, and is placed so that their sides are parallel to those of Q.Finally the bounds of Ps(x)and the corresponding result s are obtained
关键词
Key words:
packing
;
sequence of squares
;
packing function