Alternative Equation Formats

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MathML

\begin{array}{rcl} {\hat{h}}_{r} (t) & = & \frac{I (t \leq τ_{r}) Y_{r} (t)}{{\hat{S}}_{r} (t -)} \\ {\hat{F}}_{1}^{0} (t) & = & \int_{0}^{t} \frac{d N_{1.} (u)}{{\hat{h}}_{.} (u)} \\ {\hat{G}}_{1}^{0} (t) & = & 1 - {\hat{F}}_{1}^{0} (t) \\ a_{k r} (t) & = & d_{1 k r} (t) + b_{1 k r} (t) \\ b_{j k r} (t) & = & [I (j = 1) - \frac{{\hat{G}}_{1}^{0} (t)}{{\hat{S}}_{r} (t)}] [c_{k r} (τ_{k}) - c_{k r} (t)] \\ c_{k r} (t) & = & \int_{0}^{t} d_{1 k r} (u) d {\hat{Γ}}_{1}^{0} (u) \\ d_{j k r} (t) & = & I (j = 1) R_{k} (t) \frac{I (k = r) - \frac{{\hat{h}}_{r} (t)}{{\hat{h}}_{.} (t)}}{{\hat{G}}_{1}^{0} (t)} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{h}_ r(t) & =& \frac{I(t\leq \tau _ r)Y_ r(t)}{\hat{S}_ r(t-)} \\ \hat{F}_1^0(t) & =& \int _0^ t \frac{dN_{1.}(u)}{\hat{h}_{.}(u)}\\ \hat{G}_1^0(t) & =& 1 - \hat{F}_1^0(t)\\ a_{kr}(t) & =& d_{1kr}(t) + b_{1kr}(t) \\ b_{jkr}(t) & =& \left[ I(j=1) - \frac{\hat{G}^0_1(t)}{\hat{S}_ r(t)} \right] \left[ c_{kr}(\tau _ k) - c_{kr}(t) \right] \\ c_{kr}(t) & =& \int _0^ t d_{1kr}(u)d\hat{\Gamma }^0_1(u) \\ d_{jkr}(t) & =& I(j=1)R_ k(t) \frac{I(k=r) - \frac{\hat{h}_ r(t)}{\hat{h}_{.}(t)}}{\hat{G}^0_1(t)} \end{eqnarray*}