Author: Yu, Chenglong; Liang, Qian; Yin, Changchuan; He, Rong L.; Yau, Stephen S.-T.
Title: A Novel Construction of Genome Space with Biological Geometry Document date: 2010_4_1
ID: 3c4dttrt_11
Snippet: where n is the number of nucleotides contained in a DNA sequence, and (x i , y i ) represents the position of the ith nucleotide in the DNA graphical curve. According to this definition, each DNA sequence has an n-dimensional moment vector (M 1 , M 2 , . . . , M n ) associated with it. The crucial point in this paper is that the correspondence between a DNA sequence and its moment vector obtained from its sequence graph is one-toone. To obtain th.....
Document: where n is the number of nucleotides contained in a DNA sequence, and (x i , y i ) represents the position of the ith nucleotide in the DNA graphical curve. According to this definition, each DNA sequence has an n-dimensional moment vector (M 1 , M 2 , . . . , M n ) associated with it. The crucial point in this paper is that the correspondence between a DNA sequence and its moment vector obtained from its sequence graph is one-toone. To obtain this conclusion, we need to prove the following theorem.
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