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Table 3

Symbols used in the ensemble model.

Parameter Symbol Units
Total number of shocks
Observational solid angle Ω sr
Single shock solid angle Ω1 sr
Single shock top-hat specific intensity Iν,1 erg s−1 cm−2 Hz−1 sr−1
Single shock peak optical depth τ1
Background continuum specific intensity Iν,c erg s−1 cm−2 Hz−1 sr−1
Ensemble flux density Fν(V) erg s−1 cm−2 Hz−1
Gaussian distribution f(V, σ) (km s−1)−1
Emission line velocity dispersion σ km s−1
Velocity bin size ΔV km s−1
Number of shocks in velocity bin at V N(V)
Average number of shocks in velocity bin (V)
Average number of overlapping shocks in velocity bin (V)
Standard deviation of shock number in velocity bin σΔV

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