论文标题
关于哈迪的道歉数字
On Hardy's Apology Numbers
论文作者
论文摘要
十二个众所周知的“休闲”数字被广义化和分类为三种通用类型的Hardy，Dudeney和Wells。为每种类型的每种类型都例证了一种限制数字搜索的新颖证明方法。组合操作员被定义以简化编程搜索。
Twelve well known `Recreational' numbers are generalized and classified in three generalized types Hardy, Dudeney, and Wells. A novel proof method to limit the search for the numbers is exemplified for each of the types. Combinatorial operators are defined to ease programming the search.
