Alternative Equation Formats

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MathML

\begin{array}{rcl} P_{U} (d_{*}) & = & sup_{p_{2}} (\sum_{A, T (a) \geq t_{0}} f (n_{11}, n_{21}; n_{1}, n_{2}, d_{*}, p_{2})) \\ P_{L} (d_{*}) & = & sup_{p_{2}} (\sum_{A, T (a) \leq t_{0}} f (n_{11}, n_{21}; n_{1}, n_{2}, d_{*}, p_{2})) \end{array}

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Math as LaTeX Source

\begin{eqnarray*} P_ U(d_\ast ) & = & \sup _{p_2} ~ \bigl ( \sum _{A, T(a) \geq t_0} f( n_{11}, n_{21}; n_1, n_2, d_\ast , p_2 ) ~ \bigr ) \\[0.10in] P_ L(d_\ast ) & = & \sup _{p_2} ~ \bigl ( \sum _{A, T(a) \leq t_0} f( n_{11}, n_{21}; n_1, n_2, d_\ast , p_2 ) ~ \bigr ) \end{eqnarray*}