broad line flux coming from the inner part of disk-like BLR with radius from $R_{in}$ to $0.5\times(R_{in} + R_{out})$ and $f_{all}$ means the measured total broad line flux. The calculated value of R for each spectrum is listed in Table 1. Figure \[fr\] shows the correlation between the line flux $f_0$ ($f_1$) and the parameter of $R$. In the figure, the shown uncertainty of $R$ is determined by the uncertainty of $f_1$ collected from the AGNWATCH project. The spearman-rank correlation coefficient for the correlation is about 0.49 with $P_{null}\sim10^{-5}$ for the parameter $f_1$ in Table 1 and 0.26 with $P_{null}\sim4\%$ for the parameter $f_0$ in Table 1. The positive correlation in Figure \[fr\] indicates the proposed disk origination for the double-peaked broad H$\alpha$ of 3C390.3 can be naturally applied to explain the unexpected positive correlation shown in Figure \[fj\_3c390\].

Moreover, if the observed broad H$\alpha$ of 3C390.3 was seperated into two parts: one part with larger line width ($\sigma_1$) coming from the inner region of the disk-like BLR with radius from $R_{in}$ to $0.5\times (R_{in} + R_{out})$, and the other part with smaller line width ($\sigma_2$) coming from the outer region of the disk-like BLR, then the line width ($\sigma$) 