任意反转数相减的规律与特征

THE LAW AND CHARACTERISTICS OF SUBTRACTION OF ANY REVERSE NUMBER

任意两个互为反转的自然数E与彐相减,其差遵循着一种特殊的规律,其算式具有特殊的结构。并且,E_1—彐_1、E_2—彐_2、E_3—彐_3、……、E_1—彐_1系列可构成离散性三角形。E—彐的标记具有轴对称特征。本文旨在揭示这些规律与特征。

The E is an any natural number and E≥12. The number that its number order is just reverse to E is called the reverse number(e.g. 87301 and 10378),and is marked ヨ. The law for the subtraction of any reverse number E and ヨ was expounded in this paper. The result showed that the difference of two reverse numbers followed a special law and the calculation had a special structure. Also E_1—ヨ_1, E_2—ヨ_2, E_3—ヨ_3……E_1—ヨ_1 may form a dispersion triangle. The sign (r_1, r_2, r_3……r_(n-1)) have the characteristics of axial symmetry.