搜索: 编号:a329362
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0, 1, 2, 3, 2, 2, 3, 2, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 5, 6, 5, 4, 5, 4, 5, 6, 5, 6, 4, 4, 5, 4, 4, 5, 6, 5, 6, 7, 6, 5, 6, 5, 6, 7, 6, 7, 8, 7, 6, 7, 6, 5, 6, 5, 6, 7, 6, 7, 5, 5, 6, 7, 6, 7, 8, 7, 6, 7
(列表;图表;参考;听;历史;文本;内部格式)
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抵消
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0,3
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评论
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两个或多个有限序列的co-Lyndon乘积被定义为通过将序列混合在一起可以获得的词典编纂最小序列。例如,(231)和(213)的共同林登积是(212313),(221)和。co-Lyndon单词是一个有限序列,相对于co-Lyndon乘积是素数。等价地,联合林登词是严格大于其所有循环旋转的有限序列。每个有限序列都有一个唯一的(无序)因子分解成co-Lyndon单词,如果这些因子按一定的顺序排列,那么它们的串联等于它们的co-Lyndon乘积。例如,(1001)已经对co-Lyndon因子分解(1)(100)进行了排序。
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链接
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例子
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() = 0
(1) = (1)
(12) = (1)(2)
(122) = (1)(2)(2)
(1221) = (1)(221)
(12211) = (1)(2211)
(122112) = (1)(2211)(2)
(1221121) = (1)(221121)
(12211212) = (1)(221121)(2)
(122112122) = (1)(221121)(2)(2)
(1221121221) = (1)(221121)(221)
(12211212212)=(1)(221121)(221)(2)
(122112122122) = (1)(221121)(221)(2)(2)
(1221121221221) = (1)(221121)(221)(221)
(12211212212211) = (1)(221121)(2212211)
(122112122122112) = (1)(221121)(2212211)(2)
(1221121221221121) = (1)(221121)(221221121)
(12211212212211211) = (1)(221121)(2212211211)
(122112122122112112) = (1)(221121)(2212211211)(2)
(1221121221221121122) = (1)(221121)(2212211211)(2)(2)
(12211212212211211221) = (1)(221121)(2212211211)(221)
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数学
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kolagrow[q_]:=如果[Length[q]<2,取[{1,2},Length[C]+1],附加[q,切换[{q[[Length[Split[q]]],q[[2]],最后的[q]},{1,1,1},0,{1 2,2,2},1]]]
kol[n_Integer]:=如果[n==0,{},嵌套[kolagrow,{1},n-1]];
colynQ[q_]:=数组[Union[{RotateRight[q,#],q}]=={Rotate Right[q,#],q}&,Length[q]-1,1,And];
colynfac[q_]:=如果[Length[q]==0,{},函数[i,前缀[colynfac[Drop[q,i]],Take[q,i]]@Last[Select[Range[Length[q]],colynQ[Take[q,#]]&]]];
表[长度[colynfac[kol[n]]],{n,0,100}]
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交叉参考
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关键词
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非n
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经核准的
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