Alternative Equation Formats

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MathML

\begin{array}{rcl} S (w) & = & {(1 + \exp (\frac{w - μ}{σ}))}^{- 1} \\ f (w) & = & \frac{\exp (\frac{w - μ}{σ})}{σ {(1 + \exp (\frac{w - μ}{σ}))}^{2}} \\ G (t) & = & \frac{1}{1 + α t^{γ}} \\ g (t) & = & \frac{α γ t^{γ - 1}}{{(1 + α t^{γ})}^{2}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} S(w) & = & \left( 1 + \exp \left( \frac{w-\mu }{\sigma } \right) \right)^{-1} \\[0.10in] f(w) & = & \frac{ \exp \left( \frac{w-\mu }{\sigma } \right) }{ \sigma \left( 1 + \exp \left( \frac{w-\mu }{\sigma } \right) \right)^2 } \\[0.10in] G(t) & = & \frac{1}{1 + \alpha t^{\gamma } } \\[0.10in] g(t) & = & \frac{ \alpha \gamma t^{\gamma - 1} }{ \left( 1 + \alpha t^{\gamma } \right)^2 } \end{eqnarray*}