Alternative Equation Formats

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MathML

J ^ 1 k ( t ; z 0 ) = m ˙ [ F ^ 1 ( t ; z 0 ) ] exp [ Λ ^ 1 ( t ; z 0 ) ] i = 1 n A k i { 0 t exp ( β ^ z 0 ) S 2 ( 0 ) ( β ^ , u ) w i ( u ) d M ^ i 1 ( u ) +   h ^ ( t ; z 0 ) Ω ^ 1 ( η ^ i + ψ ^ i ) + 0 v ^ ( u , t , z 0 ) π ^ ( u ) d M ^ i c ( u ) }

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{J}_{1k}(t;\bm {z}_0) & = & \dot{m}[\hat{F}_1(t;\mb{z}_0)]\exp [- \hat{\Lambda }_1(t;\mb{z}_0)] \sum _{i=1}^ n A_{ki} \biggl \{ \int _0^ t \frac{\exp (\hat{\bbeta }'\bm {z}_0)}{S_2^{(0)}(\hat{\bbeta },u)} w_ i(u) d\hat{M}^1_ i(u) \\ & & + ~ \hat{\bm {h}}'(t;\bm {z}_0) \hat{\bOmega }^{-1}(\hat{\bm {\eta }}_ i + \hat{\bpsi }_ i) + \int _0^\infty \frac{\hat{\bm {v}}(u,t,\bm {z}_0)}{\hat{\pi }(u)} d\hat{M}_ i^ c(u) \biggr \} \end{eqnarray*}