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→The phase space and density function 相空间和密度函数
<math>\begin{align}
<math>\begin{align}
N&=\underset{momenta}\int\text{d}^{3}\mathbf{p}\underset{positions}\int\text{d}^{3}\mathbf{r}f(\mathbf{r},\mathbf{p},t)
N &=\underset{momenta}\int\text{d}^{3}\mathbf{p}\underset{positions}\int\text{d}^{3}\mathbf{r}f(\mathbf{r},\mathbf{p},t)\\[5pt]
&=\underset{momenta}\iiint\; \; \; \underset{positions}\iiint f(x,y,z,p_{x},p_{y},p_{z},t)\; \text{d}x\,\text{d}y\,\text{d}z\,\text{d}p_x\,\text{d}p_y\,\text{d}p_z
&=\underset{momenta}\iiint\; \; \; \underset{positions}\iiint f(x,y,z,p_{x},p_{y},p_{z},t)\; \text{d}x\,\text{d}y\,\text{d}z\,\text{d}p_x\,\text{d}p_y\,\text{d}p_z
\end{align}</math>
\end{align}</math>