Alternative Equation Formats

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MathML

S 2 ( r ) ( β , u ) = j = 1 n w j ( u ) Y j ( u ) Z j ( u ) r exp ( β Z j ( u ) ) , r = 0 , 1 , 2 Z ¯ ( β , u ) = S 2 ( 1 ) ( β , u ) S 2 ( 0 ) ( β , u )

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \bS _2^{(r)}(\bbeta ,u) & =& \sum _{j=1}^ n w_ j(u)Y_ j(u)\bZ _ j(u)^{\otimes r}\exp (\bbeta '\bZ _ j(u)), \quad r=0,1,2 \\ \bar{\bZ }(\bbeta ,u) & =& \frac{\bS _2^{(1)}(\bbeta ,u)}{S_2^{(0)}(\bbeta ,u)} \end{eqnarray*}