Alternative Equation Formats

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MathML

δ = ( 4 N w 1 w 2 ) 1 2 [ a r c s i n ( [ p 2 + 1 2 N w 2 ( 1 { p 2 < p 1 } 1 { p 2 > p 1 } ) ] 1 2 ) a r c s i n ( [ p 1 + 1 2 N w 1 ( 1 { p 1 < p 2 } 1 { p 1 > p 2 } ) ] 1 2 ) ]

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \delta & = (4N w_1 w_2)^\frac {1}{2} \left[ \mr{arcsin}\left( \left[ p_2 + \frac{1}{2N w_2} (1_{\{ p_2 < p_1\} } - 1_{\{ p_2 > p_1\} }) \right]^\frac {1}{2} \right) \right. \\ & \quad \left. - \mr{arcsin}\left( \left[ p_1 + \frac{1}{2N w_1} (1_{\{ p_1 < p_2\} } - 1_{\{ p_1 > p_2\} }) \right]^\frac {1}{2} \right) \right] \end{align*}