Alternative Equation Formats

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MathML

\begin{array}{rcl} v & = & H (X) + H (Y) - H (X Y) \\ w & = & H (Y) \\ H (X) & = & - \sum_{i} (\frac{n_{i \cdot}}{n}) \log (\frac{n_{i \cdot}}{n}) \\ H (Y) & = & - \sum_{j} (\frac{n_{\cdot j}}{n}) \log (\frac{n_{\cdot j}}{n}) \\ H (X Y) & = & - \sum_{i} \sum_{j} (\frac{n_{i j}}{n}) \log (\frac{n_{i j}}{n}) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} v & = & H(X) + H(Y) - H(XY) \\[0.10in] w & = & H(Y) \\[0.10in] H(X) & = & -\sum _ i \left( \frac{n_{i \cdot }}{n} \right) \log \left( \frac{n_{i \cdot }}{n} \right) \\[0.10in] H(Y) & = & -\sum _ j \left( \frac{n_{\cdot j}}{n} \right) \log \left( \frac{n_{\cdot j}}{n} \right) \\[0.10in] H(XY) & = & -\sum _ i \sum _ j \left( \frac{n_{ij}}{n} \right) \log \left( \frac{n_{ij}}{n} \right) \end{eqnarray*}