Alternative Equation Formats

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MathML

p i ( 0 ) = ψ k 0 ( r ~ i ) ( 1 / n ) ψ k 0 ( r ~ i )    for  i = 1 , , n p i ( 1 ) = ψ k 1 ( r ~ i ) ( 1 / n ) ψ k 1 ( r ~ i )    for  i = 1 , , n d 2 = 1 n ( p i ( 1 ) p i ( 0 ) ) 2

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} p_ i^{(0)} & =& {\psi _{k_0}({\tilde r}_ i) \over (1 / n) \sum \psi _{k_0}'({\tilde r}_ i)} \ {\mbox{ for }} i=1,\ldots ,n \\ p_ i^{(1)} & =& {\psi _{k_1}({\tilde r}_ i) \over (1 / n) \sum \psi _{k_1}'({\tilde r}_ i)} \ {\mbox{ for }} i=1,\ldots ,n \\ d^2 & =& {1\over n} \sum (p_ i^{(1)} - p_ i^{(0)})^2 \end{eqnarray*}