Alternative Equation Formats

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MathML

\begin{array}{rcl} S^{'} (u) & = & {\begin{array}{lcl} 1 - \frac{Γ (δ^{- 2}, δ^{- 2} \exp (δ u))}{Γ (δ^{- 2})} & i f δ > 0 \\ \frac{Γ (δ^{- 2}, δ^{- 2} \exp (δ u))}{Γ (δ^{- 2})} & i f δ < 0 \end{array} \\ f^{'} (u) & = & \frac{| δ |}{Γ (δ^{- 2})} {(δ^{- 2} \exp (δ u))}^{δ^{- 2}} \exp (- \exp (δ u) δ^{- 2}) \\ G^{'} (v) & = & {\begin{array}{lcl} 1 - \frac{Γ (δ^{- 2}, δ^{- 2} v^{δ})}{Γ (δ^{- 2})} & i f δ > 0 \\ \frac{Γ (δ^{- 2}, δ^{- 2} v^{δ})}{Γ (δ^{- 2})} & i f δ < 0 \end{array} \\ g^{'} (v) & = & \frac{| δ |}{v Γ (δ^{- 2})} {(δ^{- 2} v^{δ})}^{δ^{- 2}} \exp (- v^{δ} δ^{- 2}) \end{array}

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Math as LaTeX Source

\begin{eqnarray*} S^{\prime }(u) & = & \left\{ \begin{array}{lcl} 1 - \frac{ \Gamma \left( \delta ^{-2}, \delta ^{-2} \exp (\delta u) \right) }{ \Gamma \left( \delta ^{-2} \right) } & & \mr{if} \; \; \delta > 0 \\[0.10in] \frac{ \Gamma \left( \delta ^{-2}, \delta ^{-2} \exp (\delta u) \right) }{ \Gamma \left( \delta ^{-2} \right) } & & \mr{if} \; \; \delta < 0 \\ \end{array} \right. \\[0.10in] f^{\prime }(u) & = & \frac{ |\delta |}{\Gamma \left( \delta ^{-2} \right) } \left( \delta ^{-2} \exp (\delta u) \right)^{\delta ^{-2}} \exp \left( -\exp (\delta u) \delta ^{-2} \right) \\[0.10in] G^{\prime }(v) & = & \left\{ \begin{array}{lcl} 1- \frac{ \Gamma \left( \delta ^{-2}, \delta ^{-2} v^{\delta } \right) }{ \Gamma \left(\delta ^{-2} \right) } & & \mr{if} \; \; \delta > 0 \\[0.10in] \frac{ \Gamma \left( \delta ^{-2}, \delta ^{-2} v^{\delta } \right) }{ \Gamma \left( \delta ^{-2} \right) } & & \mr{if} \; \; \delta < 0 \\ \end{array} \right. \\[0.10in] g^{\prime }(v) & = & \frac{ |\delta | }{ v \Gamma \left( \delta ^{-2} \right) } \left( \delta ^{-2} v^{\delta } \right)^{\delta ^{-2}} \exp \left( -v^{\delta } \delta ^{-2} \right) \\ \end{eqnarray*}