# Alternative Equation Formats

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## MathML

$\begin{array}{rlr}{y}_{t}& \sim N\left({x}_{t},{\theta }_{4}\right)& \text{Observational model}\\ {x}_{t}& ={\mu }_{t}+{s}_{t}& \text{Underlying trend after allowing for seasonal effects}\\ {\mu }_{t}& \sim N\left({\mu }_{t-1}+{\alpha }_{t-1},{\theta }_{1}\right)& \text{Evolution in mean}\\ {\alpha }_{t-1}& \sim N\left(\varphi {\alpha }_{t-2},{\theta }_{2}\right)& \text{Increments in mean}\\ {s}_{t}& \sim N\left(-{s}_{t-1}-{s}_{t-2}-{s}_{t-3},{\theta }_{3}\right)& \text{Seasonality}\end{array}$

## MathML rendered with MathJax

$\begin{array}{rlr}{y}_{t}& \sim N\left({x}_{t},{\theta }_{4}\right)& \text{Observational model}\\ {x}_{t}& ={\mu }_{t}+{s}_{t}& \text{Underlying trend after allowing for seasonal effects}\\ {\mu }_{t}& \sim N\left({\mu }_{t-1}+{\alpha }_{t-1},{\theta }_{1}\right)& \text{Evolution in mean}\\ {\alpha }_{t-1}& \sim N\left(\varphi {\alpha }_{t-2},{\theta }_{2}\right)& \text{Increments in mean}\\ {s}_{t}& \sim N\left(-{s}_{t-1}-{s}_{t-2}-{s}_{t-3},{\theta }_{3}\right)& \text{Seasonality}\end{array}$

## Math as LaTeX Source

\begin{align*} y_ t & \sim N(x_ t,\theta _4) & \text {Observational model} \\ x_ t & = \mu _ t + s_ t & \text {Underlying trend after allowing for seasonal effects} \\ \mu _ t & \sim N(\mu _{t-1} + \alpha _{t-1}, \theta _1) & \text {Evolution in mean} \\ \alpha _{t-1} & \sim N(\phi \alpha _{t-2}, \theta _2) & \text {Increments in mean} \\ s_ t & \sim N(-s_{t-1} -s_{t-2} - s_{t-3}, \theta _3) & \text {Seasonality} \end{align*}