Summary of the model fits to the 51 segments within the |$20\sigma$|-level contour of the |$37\, \mu$|m continuum emission.*
. | . | Residual . | . | Estimated in sub-subsection 4.1.1 . | ||||
---|---|---|---|---|---|---|---|---|
. | . | Min . | MAD|$_{\rm stat}$| . | Max . | . | |$\alpha _{\rm WK}$| . | |$\beta _{\rm WK}$| . | |$|B_0^{\rm 3D}|$| . |
Model . | |$\chi ^2$| . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | . | . | . | (mG) . |
gc1 | 29.8 | 0.59 | 6.0 ± 3.2 | 88.3 | 45 | 24 | 0.20 | |
gc2 | 32.9 | 0.81 | 10.9 ± 3.2 | 83.5 | 35 | 19 | 0.23 | |
gc3 | 33.4 | 0.44 | 13.4 ± 3.1 | 88.4 | 21 | 11 | 0.29 | |
gc4 | 44.2 | 9.32 | 13.2 ± 2.7 | 85.6 | 22 | 12 | 0.29 | |
gc5 | 60.3 | 14.49 | 15.1 ± 2.8 | 89.1 | 14 | 8 | 0.35 | |
gc1, 2, 3 | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$0.24^{+0.05}_{-0.04}$| |
. | . | Residual . | . | Estimated in sub-subsection 4.1.1 . | ||||
---|---|---|---|---|---|---|---|---|
. | . | Min . | MAD|$_{\rm stat}$| . | Max . | . | |$\alpha _{\rm WK}$| . | |$\beta _{\rm WK}$| . | |$|B_0^{\rm 3D}|$| . |
Model . | |$\chi ^2$| . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | . | . | . | (mG) . |
gc1 | 29.8 | 0.59 | 6.0 ± 3.2 | 88.3 | 45 | 24 | 0.20 | |
gc2 | 32.9 | 0.81 | 10.9 ± 3.2 | 83.5 | 35 | 19 | 0.23 | |
gc3 | 33.4 | 0.44 | 13.4 ± 3.1 | 88.4 | 21 | 11 | 0.29 | |
gc4 | 44.2 | 9.32 | 13.2 ± 2.7 | 85.6 | 22 | 12 | 0.29 | |
gc5 | 60.3 | 14.49 | 15.1 ± 2.8 | 89.1 | 14 | 8 | 0.35 | |
gc1, 2, 3 | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$0.24^{+0.05}_{-0.04}$| |
The terms Min, MAD|$_{\rm stat}$|, and Max denote the minimum, median absolute deviation, and maximum of the residuals, respectively. Here, MAD|$_{\rm stat}$| is defined as |$\text{median} ( | X_i - \text{median}(X) | )$|. The errors of the MAD were estimated by approximating them with the standard error of the median. The weighted-mean |$|B_0^{\rm 3D}|$| in the last row was calculated using the |$\chi ^2$| values for the gc1, gc2, and gc3 models. This value is utilized in equations (5) and (6) for the inverse calculation of |$\alpha _{{\rm WK}}$| and |$\beta _{{\rm WK}}$| values.
Summary of the model fits to the 51 segments within the |$20\sigma$|-level contour of the |$37\, \mu$|m continuum emission.*
. | . | Residual . | . | Estimated in sub-subsection 4.1.1 . | ||||
---|---|---|---|---|---|---|---|---|
. | . | Min . | MAD|$_{\rm stat}$| . | Max . | . | |$\alpha _{\rm WK}$| . | |$\beta _{\rm WK}$| . | |$|B_0^{\rm 3D}|$| . |
Model . | |$\chi ^2$| . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | . | . | . | (mG) . |
gc1 | 29.8 | 0.59 | 6.0 ± 3.2 | 88.3 | 45 | 24 | 0.20 | |
gc2 | 32.9 | 0.81 | 10.9 ± 3.2 | 83.5 | 35 | 19 | 0.23 | |
gc3 | 33.4 | 0.44 | 13.4 ± 3.1 | 88.4 | 21 | 11 | 0.29 | |
gc4 | 44.2 | 9.32 | 13.2 ± 2.7 | 85.6 | 22 | 12 | 0.29 | |
gc5 | 60.3 | 14.49 | 15.1 ± 2.8 | 89.1 | 14 | 8 | 0.35 | |
gc1, 2, 3 | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$0.24^{+0.05}_{-0.04}$| |
. | . | Residual . | . | Estimated in sub-subsection 4.1.1 . | ||||
---|---|---|---|---|---|---|---|---|
. | . | Min . | MAD|$_{\rm stat}$| . | Max . | . | |$\alpha _{\rm WK}$| . | |$\beta _{\rm WK}$| . | |$|B_0^{\rm 3D}|$| . |
Model . | |$\chi ^2$| . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | (|$^{\circ}$|) . | . | . | . | (mG) . |
gc1 | 29.8 | 0.59 | 6.0 ± 3.2 | 88.3 | 45 | 24 | 0.20 | |
gc2 | 32.9 | 0.81 | 10.9 ± 3.2 | 83.5 | 35 | 19 | 0.23 | |
gc3 | 33.4 | 0.44 | 13.4 ± 3.1 | 88.4 | 21 | 11 | 0.29 | |
gc4 | 44.2 | 9.32 | 13.2 ± 2.7 | 85.6 | 22 | 12 | 0.29 | |
gc5 | 60.3 | 14.49 | 15.1 ± 2.8 | 89.1 | 14 | 8 | 0.35 | |
gc1, 2, 3 | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$\cdot \cdot \cdot$| | |$0.24^{+0.05}_{-0.04}$| |
The terms Min, MAD|$_{\rm stat}$|, and Max denote the minimum, median absolute deviation, and maximum of the residuals, respectively. Here, MAD|$_{\rm stat}$| is defined as |$\text{median} ( | X_i - \text{median}(X) | )$|. The errors of the MAD were estimated by approximating them with the standard error of the median. The weighted-mean |$|B_0^{\rm 3D}|$| in the last row was calculated using the |$\chi ^2$| values for the gc1, gc2, and gc3 models. This value is utilized in equations (5) and (6) for the inverse calculation of |$\alpha _{{\rm WK}}$| and |$\beta _{{\rm WK}}$| values.
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