我加工了一下的时钟问题

Suppose you have a clock with an hour hand and a minute hand which are indistinguishable. BOTH HANDS ONLY SWING FROM MINUTE MARK TO MINUTE MARK PERIODICALLY which means the minimum hand movement is 6 degree. How many moments are there, in the interval from noon to midnight (including noon but excluding midnight), where the time shown by the clock is ambiguous?


In the mean time is there any solution of 24x = x (mod 30) if 0 <= x <= 30 and x is an integer?

所有跟帖: 

define "ambiguous" -参谋总长- 给 参谋总长 发送悄悄话 参谋总长 的博客首页 (0 bytes) () 11/19/2012 postreply 06:47:52

回复:define "ambiguous" -calligraphy- 给 calligraphy 发送悄悄话 (69 bytes) () 11/19/2012 postreply 07:00:54

谢!表题一般都是仔细活儿 -参谋总长- 给 参谋总长 发送悄悄话 参谋总长 的博客首页 (0 bytes) () 11/19/2012 postreply 07:20:09

解一题,补过. -jinjing- 给 jinjing 发送悄悄话 (288 bytes) () 11/25/2012 postreply 17:51:07

回复:解一题,补过. -calligraphy- 给 calligraphy 发送悄悄话 (293 bytes) () 11/27/2012 postreply 10:38:50

说一个具体例子吧 -wxcfan123- 给 wxcfan123 发送悄悄话 (342 bytes) () 11/27/2012 postreply 17:03:26

回复:说一个具体例子吧 -calligraphy- 给 calligraphy 发送悄悄话 (504 bytes) () 11/27/2012 postreply 18:27:09

恰恰相反,离散的才有这144组解.(12*60/5=144) -jinjing- 给 jinjing 发送悄悄话 (504 bytes) () 11/27/2012 postreply 18:07:32

回复:恰恰相反,离散的才有这144组解.(12*60/5=144) -calligraphy- 给 calligraphy 发送悄悄话 (512 bytes) () 11/27/2012 postreply 18:37:36

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