送交者: 3747 于 2011-03-04, 14:56:50:

回答: 1-1+1-1+1-1+1-1+1-1+...............=1/2 is not crazy 由 suprathinker 于 2011-03-04, 14:47:06:

• the sum is 50% 0 and 50% 1. - suprathinker (39 bytes) 2011-03-04, 15:00:19 (555894)
  • why 50% 0 and 50% 1? (无内容) - 田野 (0 bytes) 2011-03-04, 16:45:33 (555933)
    • the probabilities of getting the sum 0 and 1 are both 50% - suprathinker (171 bytes) 2011-03-04, 16:53:16 (555936)
      • 这是因为你把无穷序列作为有穷处理，把一个本来无穷推进的过程凝固的结果 (无内容) - 田野 (0 bytes) 2011-03-04, 17:24:51 (555941)
  • 正儿八经纠正一下，公比绝对值大于等于1的等比无穷数列之和不存在 - 羽矢 (60 bytes) 2011-03-04, 16:07:23 (555916)
    • i'm serious. ur 不存在 is more real than 存在. we r living in a real world. (无内容) - suprathinker (0 bytes) 2011-03-04, 16:15:18 (555921)
  • or S - 1 = - S. (无内容) - suprathinker (0 bytes) 2011-03-04, 15:08:57 (555896)
    • 没想明白，，， (无内容) - 3747 (0 bytes) 2011-03-04, 15:14:43 (555898)
      • you remove the first 1 from the sum and get a negative sum. (无内容) - suprathinker (0 bytes) 2011-03-04, 15:18:18 (555901)
        • 你喝高了吧？减去个1总和就在0和-1之中，也不一定是负的 (无内容) - Zzz (0 bytes) 2011-03-04, 16:13:39 (555919)
          • 1-1+1-1+，，，，=1/2---》-1+1-1+1+，，，，=-1/2 (无内容) - 3747 (0 bytes) 2011-03-04, 16:16:08 (555922)
            • u already got it. he needs more time. (无内容) - suprathinker (0 bytes) 2011-03-04, 17:00:49 (555937)
            • 我不明白他贴的这些的实际意义，只是尽量按他的思路去理解 (无内容) - 3747 (0 bytes) 2011-03-04, 16:47:49 (555934)
            • 你用＂定理＂证明推论，进而连＂定理＂本身也接受了？ (无内容) - Zzz (0 bytes) 2011-03-04, 16:42:45 (555932)
        • got it, thanks, (无内容) - 3747 (0 bytes) 2011-03-04, 15:37:54 (555904)
  • still can't. (无内容) - chouqilozi (0 bytes) 2011-03-04, 15:02:32 (555895)
• the expectation value, that is. Not sure about the first one. (无内容) - chouqilozi (0 bytes) 2011-03-04, 14:58:05 (555892)
  • 能举个实际例子说明它的意义吗 (无内容) - 3747 (0 bytes) 2011-03-04, 15:00:02 (555893)

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