Alternative Equation Formats

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MathML

L j = Pr ( Y = y j | x j ) = { e i = y j k α i + x j β 1 + m = 1 k e i = m k α i + x j β 1 y j k 1 1 + m = 1 k e i = m k α i + x j β y j = k + 1

Math Rendered as SVG

Math as LaTeX Source

\[ L_{j} = {\Pr }({Y}=y_ j|\mb{x}_ j) = \left\{ \begin{array}{ll} \displaystyle \frac{{e}^{\sum _{i=y_ j}^ k{\alpha _{i}+\mb{x}_ j'\bbeta }}}{1+\sum _{m=1}^ k {e}^{\sum _{i=m}^ k{\alpha _{i}+\mb{x}_ j'\bbeta }}} & 1\le y_ j\le k \\[1em] \displaystyle \frac{1}{1+\sum _{m=1}^ k {e}^{\sum _{i=m}^ k{\alpha _{i}+\mb{x}_ j'\bbeta }}} & y_ j=k+1 \end{array}\right. \]