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. 2023 Jun 29;13:10546. doi: 10.1038/s41598-023-37192-z

Table 3.

Number of possible positive real roots of Eq. (6).

Cases Coefficients Number of possible
ai4 ai3 ai2 ai1 ai0 Positive roots
R~0(i)<1 + +/− +/− +/− + 4/2/0
R~0(i)>1 + +/− +/− +/− 3/1