[其他] Zeckendorf's Theorem?

看板Math作者magiclass (課堂上玩數學)時間13年前 (2012/10/06 17:24)推噓2(2推 0噓 3→)

留言5則, 4人參與討論串1/1

http://tinyurl.com/9qodskd Zeckendorf’s theorem says that every positive integer can be represented as the sum of non-consecutive Fibonacci integers and that such a representation is unique. For example: 100 = 89 + 8 + 3 10,000 = 6765 + 2584 + 610 +34 + 5 + 2 不過像8這個數，似乎就沒辦法用不連續的費伯納西數表示？ 8=1+2+5=3+5 1,2或3,5都算連續的費伯納西數吧。還是我的解讀有誤？ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.168.179.103

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FAlin

10/06 17:27, , 1^F

10/06 17:27, 1^F

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APM99

10/06 17:28, , 2^F

10/06 17:28, 2^F

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yclinpa

10/06 17:36, , 3^F

10/06 17:36, 3^F