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The cross-correlation function of two sequence-pairs and, is defined by (3).
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Hence, the ZCZPS can be constructed by minimizing the autocorrelation sidelobe of a sequence-pair and cross-correlation value of any two sequence-pairs in ZCZPS.
However, which parts of two sequences make base-pairs will be determined through complex interactions between the two sequences.
The autocorrelation function (ACF) (here we use autocorrelation to stand for the cross-correlation between two different sequences of a sequence-pair to distinguish the cross-correlation between two different sequence-pairs) of sequence-pair is defined by (2).
To reveal the proteins responsible for the differences between the two species, the functions of sequence pairs with weak amino-acid similarity were analyzed.
The functions of sequence pairs with weak amino-acid similarity were analyzed to reveal the proteins responsible for the differences between the two species.
Definition 1. Assume to be a sequence-pair set of sequence-pairs and each sequence-pair is of bit length.
Further define the indicator function for the sequence pair : (47).
Multiple sequence alignment (MSA) can be seen as a generalization of pair-wise sequence alignment, in which, instead of aligning two sequences, k sequences are aligned simultaneously.
A representation of an interaction pair is formed by concatenating the descriptors of two protein sequences in this protein pairs.
The EAM inter-atomic potential consists of two parts: the pair-potential and the embedding function.
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