YLL討論網

由 **galaxylee** 於星期五十月 21, 2005 9:26 pm

c>0
a-c<a<a+c
a-c<[(a-c)+(a+c)]/2<a+c
let b=[(a-c)+(a+c)]/2
we have a-c<b<a+c
-a-c<-b<-a+c
-c<a-b<c
|a-b|<c

由 **wandering moon** 於星期五十月 21, 2005 5:38 pm

Given any rational number a and for any positive rational number c, we can always find another rational number b such that |a-b|<c

(請將產生的程式碼，剪貼至上方文章區！)
[quote="wandering moon"]Given any rational number a and for any positive rational number c, we can always find another rational number b such that \|a-b\|<c [/quote]