| 一维与多维数据的双射函数转换法及应用 |
| |
| 引用本文： | 刘慧,靳瑞霞,闫林.一维与多维数据的双射函数转换法及应用[J].河南师范大学学报(自然科学版),2010,38(3). |
| |
| 作者姓名： | 刘慧 靳瑞霞 闫林 |
| |
| 作者单位： | 1. 河南师范大学,计算机与信息技术学院,河南,新乡453007
2. 新乡医学院,三全学院,河南,新乡453003 |
| |
| 摘 要： | 通过在技巧上和构造上的数学研究,建造出了从Nn到N的双射函数hn:Nn→N以及hn的逆函数hn-1:N→Nn.这两个函数的出现,使自然数集合N与n个N的笛卡尔积Nn之间的元素具有相互可以转换的一一对应关系.从而有效地实现了一维数据同多维数据之间的转换,并且hn和hn-1在数据的密码设置方面具有实际意义和特殊作用.
|
| 关 键 词： | 一维数据 多维数据 双射 转换 |
Method of Bijection's Transformation from One-dimension Data to n-dimensions Data |
| |
| LIU Hui,JIN Rui-xia,YAN Lin.Method of Bijection's Transformation from One-dimension Data to n-dimensions Data[J].Journal of Henan Normal University(Natural Science),2010,38(3). |
| |
| Authors: | LIU Hui JIN Rui-xia YAN Lin |
| |
| Abstract: | Through studying in technique and constructibility,constructs a bijection and its inverse function are constructed.Because of these two functions,there is an one-to-one correspondence with the property of mutual transformation between the natural number set and the set which is the Cartesian product of n set.Thus One-dimension Data are associated with n-dimensions Data and the transformation between them can be realised.Moreover,the functions also play an important role in transformation of secret code. |
| |
| Keywords: | one-dimension data n-dimensions data bijection transformation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
