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{{Short description|Function of seven variables}}
{{Unreferenced|date=December 2009}}▼
{{about|the distribution function as used in physics|the related mathematical concepts|cumulative distribution function|and|probability density function}}
▲{{Unreferenced|date=December 2009}}
In molecular [[kinetic theory of gases|kinetic theory]] in [[physics]], a system's '''distribution function''' is a function of seven variables, <math>f(x,y,z,t; v_x,v_y,v_z)</math>, which gives the number of particles per unit volume in single-particle [[phase space]]. It is the number of particles per unit volume having approximately the [[velocity]] <math>\mathbf{v}=(v_x,v_y,v_z)</math> near the position <math>\mathbf{r}=(x,y,z)</math> and time <math>t</math>. The usual normalization of the distribution function is
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