Alternative Equation Formats

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MathML

χ P 2 = j = 1 m i = 1 k + 1 ( r i j n j π ^ i j ) 2 n j π ^ i j χ D 2 = 2 j = 1 m i = 1 k + 1 r i j log ( r i j n j π ^ i j )

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \chi _\mr {P}^2 & =& \sum _{j=1}^ m \sum _{i=1}^{k+1} \frac{(r_{ij} - n_ j{\widehat{\pi }}_{ij})^2}{n_ j{\widehat{\pi }}_{ij}} \\ \chi _\mr {D}^2 & =& 2 \sum _{j=1}^ m \sum _{i=1}^{k+1} r_{ij} \log \left(\frac{r_{ij}}{n_ j{\widehat{\pi }}_{ij}}\right) \end{eqnarray*}