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Let n be a positive integer. Prove that a and c leave the same remainder
when divided by n if and only if a-c=nk for some integer k.

阿風 寫到:Let n be a positive integer. Prove that a and c leave the same remainder
when divided by n if and only if a-c=nk for some integer k.

能先翻成中文嗎?

我猜應該是.....
=> 假設n為正整數，試証當被n除的時候 a和c 有相同的餘數 若且為若 對某些
       整數k而言   a-c=nk

mathfan          回覆於: 2004/9/30 下午 03:45:15            

4.if a-c=nk then a=c+nk hence a and c leave the same remainder
if a and c leave the same remainder, say a≧c, then a-c is divided by n ,hence a-c=nk for some integer n