阶乘分位制

Fractorial Fragmentation System

通过逐次对数轴进行一级，二级，…，ｎ级划分，引入阶乘分位单位，进而建立起阶乘分位制。用阶乘分位制记数，使实数与数轴上的点在一种新的体制下建立起一一对应的关系。它的优点在于能在数轴上清楚地分辨出有理数与无理数所对应的点，从而为识别有理数与无理数开辟一条新的途径。

Through clivision of a number axis from step 1,2,…to n,the author adopts a fractorial fragmentation unit so as to set up fractorial fragmentation system.Witk this system to record the numbers,the real numbers synchronize with the points on the number axis under a new system.The advantage is that the synchro points of rational and irrational numbers on a number axis are more clearly distiguished.There fore a new way to recognize a rational or an irrational number is established.