• K-component Mixture Model:
  Random variables distributed according to a mixture of K components with each component belonging to the same parametric family of distributions (e.g., all normal, all Zipfian, etc.) but with different parameters. ​wiki page

• Two terms Gaussian model fit: f(s)=a_{1}\exp\left[-\frac{(s-b_{1})^2}{\sigma^2_{1}}\right]+a_{2}\exp\left[-\frac{(s-b_{2})^2}{\sigma^2_{2}}\right]

Foot Size Example:

Two types/modes of turbulence.

• density PDF in Isothermal Gas: p_{v}(s)=\frac{1}{\sqrt{2\pi\sigma^{2}_{s,v}}}\exp\left[-\frac{(s-s_{0})^2}{2\sigma^2_{s,v}} \right] where s=\ln(\rho/\rho_{0})

• Wire and wind material density PDF \rho_{wind}=\frac{\rho(T-T_{wire})}{T_{wind}-T_{wire}} \rho_{wire}=\frac{\rho(T_{wind}-T)}{T_{wind}-T_{wire}}

with

T_{wind}=100 and

T_{wire} = 0.00025

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• Log(Density) Vs Temperature Scatter plot

		hydro	mhd
Box 2		​movie	;	​movie
Box 3		​movie	;	​movie
Box 4		​movie	;	​movie
Box 5		​movie
Box 6		​movie
Box 7		​movie
Box 8		​movie
Box 9		​movie
Box 10			;	​movie