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How-Huan Hope Chen edited Scientific Justification.tex
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N_2H^+ has a similar property. By observing line emission from multiple transitions of N_2H^+.... Here we propose to observe the N_2H^+ (3-2) transition line emission in one of the filaments in the Serpens Main region, as identified with the N_2H^+ (1-0) line emission from the CLASSy project (FN1 in Lee et al. 2014). The filament has a mild velocity gradient and a sub-/trans-sonic velocity dispersion. The filament also shows up in the HCO^+ (1-0) emission.
\subsection{Line of sight ``thickness'' measured by
the Spectral Correlation Function}
The Spectral Correlation Function (SPF) measures the degree of similarity between two spectra, and is proposed to be applied on analysis of spectral maps (Rosolowsky et al. 1999). Padoan et al. (2001a) further conclude that there is a dependence of the SPF on the ``spatial lag'' between the two spectra that the SPF takes into account. This dependence of the SPF on the spatial lag shows a power-law relation, and the spatial scales where this power-law relation exists characterize the spatial scales of self-similarity of turbulence (which dominates the spectra; Fig. ?). By computing the self-similar scales characterized by the SPF of HI spectra and assuming that the self-similarity of turbulence is confined to the shortest dimension in the 3D space, Padoan et al. (2001b) measured the ``depth'' (scale height) to be \~ 180 pc in the line of sight direction of LMC, which has a face-on disk structure and thus the shortest dimension along the line of sight.
\subsection{Spatial and velocity structures of filaments}