Alternative Equation Formats

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MathML

\begin{array}{rcl} V_{k k} & = & \sum_{j = 1}^{D} [W^{2} (t_{j}) \frac{d_{j} (Y_{j} - d_{j}) Y_{j k} (Y_{j} - Y_{j k})}{Y_{j}^{2} (Y_{j} - 1)}], 1 \leq k \leq K \\ V_{k h} & = & - \sum_{j = 1}^{D} [W^{2} (t_{j}) \frac{d_{j} (Y_{j} - d_{j}) Y_{j k} Y_{j h}}{Y_{j}^{2} (Y_{j} - 1)}], 1 \leq k \neq h \leq K \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} V_{kk} & =& \sum _{j=1}^ D \left[W^2(t_ j) \frac{ d_ j (Y_ j-d_ j) Y_{jk} (Y_ j - Y_{jk})}{ Y_ j^2 (Y_ j - 1) } \right], \quad 1\leq k \leq K \\ V_{kh} & =& -\sum _{j=1}^ D \left[W^2(t_ j) \frac{ d_ j (Y_ j-d_ j) Y_{jk} Y_{jh} }{ Y_ j^2 (Y_ j - 1) }\right], \quad 1 \leq k \neq h \leq K \end{eqnarray*}