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The Global ETD Search service is a free service for researchers
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以雙射函數探討四元數列 / A study of Bijective functions on quaternary sequences張維格 Unknown Date (has links)
本篇論文的主題是藉由討論長度為n的四元數列中，控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數，以較為簡潔的1對1且映成的對應算出其數量；而將此種對應推廣至長度為n的k元數列中，控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數；更進一步猜測長度為n的k元數列中，控制t種數字(0,1,2,...(t-1))出現偶數次(或奇數次)的個數通式。 / This paper uses bijective functions to obtain the number of quaternary sequences of length n with 0 or (0,1) or (0,1,2) being even and/or odd by establishing a system of linear equations and solving it using matrices.
Finally,we generalize it to k-nary sequences of length n.
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