Alternative Equation Formats

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MathML

ln ( σ i , t 2 ) = c i + l = 1 q a i i , l ( b i i , l ϵ i , t l σ i , t l + | ϵ i , t l σ i , t l | 2 π ) + l = 1 p g i i , l ln ( σ i , t l 2 )         i = 1 , , k

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} {\ln }( \sigma _{i,t}^2) & =& c_ i + \sum _{l=1}^{q} {a_{ii,l}\left(b_{ii,l}\frac{\bepsilon _{i,t-l}}{\sigma _{i,t-l}} +|\frac{\bepsilon _{i,t-l}}{\sigma _{i,t-l}}| -\sqrt{\frac{2}{\pi }}\right)} + \sum _{l=1}^{p}{g_{ii,l}{\ln }( \sigma _{i,t-l}^2)} ~ ~ ~ ~ i=1,\ldots , k\\ \end{eqnarray*}