\form#0:\[ G(x,y) = \frac{1}{2\pi\sigma^2} e^{-\frac{x^2+y^2}{2\sigma^2}} \]
\form#1:\[ G(x,y) = G(x) * G(y) \]
\form#2:\[ G(x) = \frac{1}{\sqrt{2\pi}\sigma} e^{-\frac{x^2}{2\sigma^2}}. \]
\form#3:\[ \Gamma(x) = \frac{ \sum_{n=0}^{N} q_n x^n }{ \Pi_{n=0}^{N} (x+n) } (x+5.5)^{x+0.5} e^{-(x+5.5)} \]
\form#4:\[ \log\Gamma(x) = \log\left( \sum_{n=0}^{N} q_n x^n \right) + (x+0.5) \log(x+5.5) - (x+5.5) - \sum_{n=0}^{N} \log(x+n) \]
\form#5:\[ \Gamma(x) = \sqrt{\frac{2\pi}{x}} \left( \frac{x}{e} \sqrt{ x\sinh(1/x) + \frac{1}{810x^6} } \right)^x \]
\form#6:\[ \log\Gamma(x) = 0.5\log(2\pi) + (x-0.5)\log(x) - x + 0.5x\log\left( x\sinh(1/x) + \frac{1}{810x^6} \right). \]
\form#7:\[ \mathrm{NFA} = NT \cdot B(n,k,p) \]
\form#8:\[ B(n,k,p) = \sum_{j=k}^n \left(\begin{array}{c}n\\j\end{array}\right) p^{j} (1-p)^{n-j} \]
\form#9:\[ \left(\begin{array}{c}n\\k\end{array}\right) = \frac{ \Gamma(n+1) }{ \Gamma(k+1) \cdot \Gamma(n-k+1) }. \]
\form#10:\[ A = \left(\begin{array}{cc} Ixx & Ixy \\ Ixy & Iyy \\ \end{array}\right) \]