\form#0:$A=\frac{df}{dx}|_{x0,u0}$
\form#1:$A=\frac{d}{dx}f(x,u)|_{x0,u0}$
\form#2:$A=\frac{d}{du}f(x,u)|_{x0,u0}$
\form#3:$x \sim epdf(rv)$
\form#4:\[ f(x|a,b) = \prod f(x_i|a_i,b_i) \]
\form#5:\[M = L'DL\]
\form#6:\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]
\form#7:\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]
\form#8:\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]
\form#9:$x^{(i)}, i=1..n$
\form#10:$x \sim epdf(rv|cond)$
\form#11:$\alpha=k$
\form#12:$\beta=k/\mu$
\form#13:$\mu/\sqrt(k)$
\form#14:$\mu$
\form#15:$\alpha$
\form#16:$\beta$
\form#17:\[ \left[\begin{array}{cc} R^{0.5}\\ P_{t|t-1}^{0.5}C' & P_{t|t-1}^{0.5}CA'\\ & Q^{0.5}\end{array}\right]<\mathrm{orth.oper.}>=\left[\begin{array}{cc} R_{y}^{0.5} & KA'\\ & P_{t+1|t}^{0.5}\\ \\\end{array}\right]\]
\form#18:\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]
\form#19:$A=Ch' Ch$
\form#20:$Ch$
\form#21:$L$
\form#22:$D$
\form#23:$V = V + w v v'$
\form#24:$C$
\form#25:$V = C*V*C'$
\form#26:$V = C'*V*C$
\form#27:$V$
\form#28:$x$
\form#29:$x= v'*V*v$
\form#30:$x= v'*inv(V)*v$
\form#31:$U$
\form#32:$A'D0 A$
\form#33:$L'DL$
\form#34:$A'*diag(D)*A = self.L'*diag(self.D)*self.L$
\form#35:$f(x)$
\form#36:$f(rv|rvc,data)$
\form#37:$x=$
\form#38:$t$
\form#39:$t+1$
\form#40:$mu=A*rvc$
\form#41:$k$
\form#42:$p$
\form#43:$l$
\form#44:$w$
\form#45:$f(x) = a$
\form#46:$f(x) = Ax+B$
\form#47:$f(x,u)$
\form#48:$f(x,u) = Ax+Bu$
\form#49:$f(x0,u0)$
\form#50:$u$
\form#51:$[\theta r]$
\form#52:$\psi=\psi(y_{1:t},u_{1:t})$
\form#53:$u_t$
\form#54:$e_t$
\form#55:$\theta_t,r_t$
\form#56:$\in <0,1>$
\form#57:$\theta,r$
\form#58:$dt = [y_t psi_t] $
\form#59:$epdf(rv)$
\form#60:$\mathcal{I}$
\form#61:\[ y_t = \theta_1 \psi_1 + \theta_2 + \psi_2 +\ldots + \theta_n \psi_n + r e_t \]
\form#62:\[ e_t \sim \mathcal{N}(0,1). \]
\form#63:\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \]
\form#64:$f_i(x)$
\form#65:$\omega$
\form#66:\[ f(y_t|\psi_t, \Theta) = \sum_{i=1}^{n} w_i f(y_t|\psi_t, \theta_i) \]
\form#67:$\psi$
\form#68:$w=[w_1,\ldots,w_n]$
\form#69:$\theta_i$
\form#70:$\Theta$
\form#71:$\Theta = [\theta_1,\ldots,\theta_n,w]$
\form#72:$p\times$
\form#73:$n$
\form#74:\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^(\beta_i-1) \]
\form#75:$\gamma=\sum_i beta_i$
\form#76:\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \]
\form#77:$\gamma=\sum_i \beta_i$
\form#78:$mu=A*rvc+mu_0$
\form#79:\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]
\form#80:$ f(rvc) = \int f(rv,rvc) d\ rv $
\form#81:\[ f(\theta|D) =\frac{f(D|\theta)f(\theta)}{f(D)}\]
\form#82:$ \theta $
\form#83:$ D $
\form#84:$ f(D|\theta) $
\form#85:$ f(\theta) $
\form#86:$ f(D) $