Alternative Equation Formats

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MathML

\begin{array}{rcl} μ^{(j + 1)} & = & \frac{\sum_{i = 1}^{N} w_{1} ({d_{i}}^{(j)}) x_{i}}{\sum_{i = 1}^{n} w_{1} ({d_{i}}^{(j)})} \\ Σ^{(j + 1)} & = & \frac{1}{N} \sum_{i = 1}^{N} w_{2} ({d_{i}}^{(j)}) (x_{i} - μ^{(j)}) (x_{i} - μ^{(j)})^{'} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \bmu ^{(j+1)} & = & \frac{\sum _{i=1}^ N w_1({d_ i}^{(j)})\mb{x}_ i}{\sum _{i=1}^ n w_1({d_ i}^{(j)})} \\ \bSigma ^{(j+1)} & = & \frac{1}{N} \sum _{i=1}^ N w_2({d_ i}^{(j)})(\mb{x}_ i - \bmu ^{(j)})(\mb{x}_ i - \bmu ^{(j)})^{\prime } \end{eqnarray*}