Quod Erat Demonstrandum

2014/08/26

蠕蟲悖論

Filed under: Fun,mathematics — johnmayhk @ 7:58 下午

很久以前聽聞蠕蟲悖論這個謎題,今天隨便在書櫃拿本書翻翻,見:

johnmayhk-worm-paradox

想一想

2^{197} 秒有多長?按一按:

http://www.wolframalpha.com/input/?i=2%5E197+seconds+%3D+years

嘩!那蟲要活超過 6.369 \times 10^{51} 年!這也頗「騙人」吧?當然 6.369 \times 10^{51} 年不是「永遠」,但以純數學考慮實際事情,或有盲點。

http://en.wikipedia.org/wiki/Ant_on_a_rubber_rope

3 則迴響 »

  1. 想問一下這本是甚麼書?

    迴響 由 EMK — 2014/08/26 @ 11:42 下午 | 回覆

  2. 2^197 seconds is just an upper bound. The actual time required is much shorter than that……but still longer than the age of universe.

    迴響 由 lovely girl — 2014/09/02 @ 1:53 下午 | 回覆


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