deletions | additions       diff --git a/section_Results_subsection_Enhanced_radio__.tex b/section_Results_subsection_Enhanced_radio__.tex  index 2fad9a0..fc63c6e 100644  --- a/section_Results_subsection_Enhanced_radio__.tex  +++ b/section_Results_subsection_Enhanced_radio__.tex 
...
By making use of the data provided in Liu et al 2011, we have identified 1 286 quasar pairs from a parent sample of 138 070 data points from the SDSS. This is only $1.9\%$ of our original data. The percentage of AGN pair in our sample increases to $3.6\%$ after correction for the SDSS' physical limitations are made \cite{Liu_2011}. Our final sample includes only data points that meet selection criteria mentioned the Liu et al quasar pair catalogue section. Most of our quasar pair are close to the lower limit ($z \approx 0.02$). We have only 24 pairs at $z > 0.16$.  From figure Figure  8 we observe that much of the data is clustered in the bottom right corner of the figure. This is because of a geometric effect, where the area in an annulus with $ r_{p}$-lower = 50 & $ r_{p}$-higher is much greater than for $ r_{p}$-lower = 0 & $ r_{p}$-higher = 50. We also note that the pair velocity offset seems to increase slightly with a increase in the projected separation. Since the luminosity of FR-I galaxies falls below a threshold luminosity$ 2 \times 10^{25} W Hz^{-1}sr^{−1}$ , we observe from Figure 12 that our sample data can be categorized as FR-I. We have also stated that most FR-II sources are found at redshift ∼ 0.2 − 0.3. From Figure 9 we observe as the pair velocity decreases -because of the closer interaction of the quasar pairs- the redshift (and thus the luminosity) increases. It is interesting to observe the same trend for many of our 24 data points This is because accretion onto SMBHs releases energy that drives outflows which correlates to high luminosities seen in Figure 12. This is an increase in the feedback activity of the quasars in our paired sample – this is our AGN pairs have high luminosities. We further observe that, as the separation between quasar pairs decreases the accretion rate, thus the luminosity of the core increases. in the same breath we note that \cite{Liu_2012} states that AGN pairs experience stronger black hole accretion, as measured by their luminosities - this is compared to samples of single AGNs which were matched to the pair samples in redshift and host-galaxy stellar mass. We also observe (in Figure 12) that the errors seem to be overlapping for three out of five of our bins (i.e. there not much difference between these bins), which might suggest that the value near $10^{24}$ is an outlier. The errors are also very small which might suggest that there is a significant difference between the observed luminosities of our binned data- this is especially apparent when we compare very low separation and very high separation data (refer to Figure 12). lastly