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MaxwellDistribution

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Maxwell-Boltzmann distribution (radical-canonical PDF and Erf CDF)

MaxwellDistribution[σ]
Mean[MaxwellDistribution[σ]] → 2*Sqrt[2/Pi]*σPDF[MaxwellDistribution[σ], x] → Piecewise[{{(Sqrt[2/Pi]*x^2)/(E^(x^2/(2*σ^2))*σ^3), x > 0}}, 0]CDF[MaxwellDistribution[σ], x] → Piecewise[{{-((Sqrt[2/Pi]*x)/(E^(x^2/(2*σ^2))*σ)) + Erf[x/(Sqrt[2]*σ)], x > 0}}, 0]

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