Alternative Equation Formats

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MathML

p r (Y = k) = {\begin{cases} \frac{e^{d_{1}^{*}}}{e^{d_{1}^{*}} + e^{d_{K}}} & i f k = 1 \\ \frac{e^{d_{k}^{*}}}{e^{d_{k}^{*}} + e^{d_{K}}} - \frac{e^{d_{(k - 1)}}}{e^{d_{(k - 1)}} + e^{d_{K}}} & i f 1 < k < K \\ \frac{e^{d_{K}^{*}}}{e^{d_{(K - 1)}} + e^{d_{K}^{*}}} & i f k = K \end{cases}

Math Rendered as SVG

Math as LaTeX Source

\[ \mr{pr}( Y = k) = \left\{ \begin{array}{ll} \frac{ e^{ d^{*}_1 } }{ e^{ d^{*}_1 } + e^{ d_ K } } & \mr{if} \; k=1 \\ \frac{ e^{ d^{*}_ k } }{ e^{ d^{*}_ k } + e^{ d_ K } } - \frac{ e^{ d_{(k-1)} } }{ e^{ d_{(k-1)} } + e^{ d_ K } } & \mr{if} \; 1<k<K \\ \frac{ e^{ d^{*}_ K } }{ e^{ d_{(K-1)} } + e^{ d^{*}_ K } } & \mr{if} \; k=K \end{array} \right. \]