deletions | additions       diff --git a/subsubsection_Dendrograms_We_use_Dendrograms__.tex b/subsubsection_Dendrograms_We_use_Dendrograms__.tex  index 20b70a5..9533dec 100644  --- a/subsubsection_Dendrograms_We_use_Dendrograms__.tex  +++ b/subsubsection_Dendrograms_We_use_Dendrograms__.tex 
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\subsubsection{Dendrograms}  We use Dendrograms to organize the hierarchical structure of our intensity maps. Figure (Basic Dendrogram) provides a simple 2D depiction of a Dendrogram. To create one, we identify the peak intensity value in a data set, classify it as a "leaf", and catalog other local maxima at smaller intensities intensities,  also classified as "leaves". The intensities attached to particular leaves are known as "branches." This technique allows one to visualize local features of intensity levels appearing within our synthetic observations. To account for simulated noise in our data maps, we set a minimum distance between two local maxima, referred to as a "minimum delta." Increasing the minimum delta value decreases the total number of features (necessary?). We refer the reader to Rosolowskly et al. (2008) for a complete description of applying Dendrograms to Molecular Cloud structures. Koch et al. (2015) defines two Dendogram statistics: the Number of Features Statistic and the Histogram Statistic. To compute the Number of Features Statistic, we generate multiple Dendrograms per run, varying the minimum delta parameter, and count the total number of features associated with each minimum delta. We follow the analysis of Koch et al (2015) (I'm using this alot, any other way to word this? Come back to this) and use an array of compute Denndrograms for our two runs using  minimum delta parameters (symbols instead?) (symbol?)  ranging from 10^-2.5 K to 10^0.5 K in 100 logarithmic steps. Figure 12 depicts displays  our results. Run W1T1t0.2's plot follows a power-law, while run W2T2t0 appears to diverge from power-law scalings at minimum deltas of 1K. We find that our run with feedback, at all scales, contains a greater amount of structure than our purely turbulent run has.(increasing past min delta creates a power law according to Burkhart et al. (2013), is this a counterexample?  Histogram statistic