Revised model parameters from corrected emissivities. This table replaces the orignal Table 3.
| Model . | Free parameters . | |$\chi _{\text{red}}^{2}$| . | Degrees of freedom . |
|---|---|---|---|
| Uniform | |$\epsilon =0.38^{+0.04}_{-0.02}$| | 6.51 | 46 |
| Gaussian | |$\alpha _1=0.71^{+0.29}_{-0.22}$|, |$\beta _1=8.2^{+5.8}_{-2.7}$| | 6.03 | 45 |
| Exponential | |$\alpha _2=0.94^{+0.46}_{-0.43}$|, |$\beta _2=0.11^{+0.06}_{-0.07}$| | 5.77 | 45 |
| Two-circle | |$R_1=1.7^{+0.1}_{-0.4}$|, |$R_2=7.5^{+5.5}_{-2.9}$| | 3.74 | 42 |
| |$\epsilon _1=2.0^{+1.8}_{-1.7}$|, |$\epsilon _2=0.59^{+0.32}_{-0.49}$|, |$\epsilon _3=0.30^{+0.13}_{-0.17}$| |
| Model . | Free parameters . | |$\chi _{\text{red}}^{2}$| . | Degrees of freedom . |
|---|---|---|---|
| Uniform | |$\epsilon =0.38^{+0.04}_{-0.02}$| | 6.51 | 46 |
| Gaussian | |$\alpha _1=0.71^{+0.29}_{-0.22}$|, |$\beta _1=8.2^{+5.8}_{-2.7}$| | 6.03 | 45 |
| Exponential | |$\alpha _2=0.94^{+0.46}_{-0.43}$|, |$\beta _2=0.11^{+0.06}_{-0.07}$| | 5.77 | 45 |
| Two-circle | |$R_1=1.7^{+0.1}_{-0.4}$|, |$R_2=7.5^{+5.5}_{-2.9}$| | 3.74 | 42 |
| |$\epsilon _1=2.0^{+1.8}_{-1.7}$|, |$\epsilon _2=0.59^{+0.32}_{-0.49}$|, |$\epsilon _3=0.30^{+0.13}_{-0.17}$| |
Note: The unit of ε, ε1, ε2, ε3, α1, and α2 are K pc−1. The unit of R1, R2, and β1 are kiloparsecs. The unit of β2 is kpc−1. All the quoted errors are at 2σ level. The Gaussian model tends to the Uniform model when β1 tends to infinity.
Revised model parameters from corrected emissivities. This table replaces the orignal Table 3.
| Model . | Free parameters . | |$\chi _{\text{red}}^{2}$| . | Degrees of freedom . |
|---|---|---|---|
| Uniform | |$\epsilon =0.38^{+0.04}_{-0.02}$| | 6.51 | 46 |
| Gaussian | |$\alpha _1=0.71^{+0.29}_{-0.22}$|, |$\beta _1=8.2^{+5.8}_{-2.7}$| | 6.03 | 45 |
| Exponential | |$\alpha _2=0.94^{+0.46}_{-0.43}$|, |$\beta _2=0.11^{+0.06}_{-0.07}$| | 5.77 | 45 |
| Two-circle | |$R_1=1.7^{+0.1}_{-0.4}$|, |$R_2=7.5^{+5.5}_{-2.9}$| | 3.74 | 42 |
| |$\epsilon _1=2.0^{+1.8}_{-1.7}$|, |$\epsilon _2=0.59^{+0.32}_{-0.49}$|, |$\epsilon _3=0.30^{+0.13}_{-0.17}$| |
| Model . | Free parameters . | |$\chi _{\text{red}}^{2}$| . | Degrees of freedom . |
|---|---|---|---|
| Uniform | |$\epsilon =0.38^{+0.04}_{-0.02}$| | 6.51 | 46 |
| Gaussian | |$\alpha _1=0.71^{+0.29}_{-0.22}$|, |$\beta _1=8.2^{+5.8}_{-2.7}$| | 6.03 | 45 |
| Exponential | |$\alpha _2=0.94^{+0.46}_{-0.43}$|, |$\beta _2=0.11^{+0.06}_{-0.07}$| | 5.77 | 45 |
| Two-circle | |$R_1=1.7^{+0.1}_{-0.4}$|, |$R_2=7.5^{+5.5}_{-2.9}$| | 3.74 | 42 |
| |$\epsilon _1=2.0^{+1.8}_{-1.7}$|, |$\epsilon _2=0.59^{+0.32}_{-0.49}$|, |$\epsilon _3=0.30^{+0.13}_{-0.17}$| |
Note: The unit of ε, ε1, ε2, ε3, α1, and α2 are K pc−1. The unit of R1, R2, and β1 are kiloparsecs. The unit of β2 is kpc−1. All the quoted errors are at 2σ level. The Gaussian model tends to the Uniform model when β1 tends to infinity.
This PDF is available to Subscribers Only
View Article Abstract & Purchase OptionsFor full access to this pdf, sign in to an existing account, or purchase an annual subscription.
