Given a protein primary sequence with length N, we transformed it into a new sequence according to the above definition. For example, for the protein sequence, S=MMYALFLLSVGLVMGFVGFS, then F(S)=IIAAIIIIAIAIIIAIIAIA. To obtain more information, we defined three curves of the sequence. Firstly, we let IE EA IA 1 if ( ( )) I, 0 otherwise,