Alternative Equation Formats

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MathML

\begin{aligned} D_{i}^{⋆} & = [h_{1} (t_{i}) N_{1}^{⋆} (i) + h_{2} (t_{i}) N_{2}^{⋆} (i)] (\frac{1}{b}) \\ r_{i}^{⋆} & = {\begin{cases} 1, & log-rank \\ N_{1}^{⋆} (i) + N_{2}^{⋆} (i), & Gehan \\ \sqrt{N_{1}^{⋆} (i) + N_{2}^{⋆} (i)}, & Tarone-Ware \end{cases} \\ N_{j}^{⋆} (0) & = w_{j} \\ N_{j}^{⋆} (i + 1) & = N_{j}^{⋆} (i) [1 - h_{j} (t_{i}) (\frac{1}{b}) - Ψ_{j} (t_{i}) (\frac{1}{b}) - (\frac{1}{b (T + τ - t_{i})}) 1_{{t_{i} > τ}}] \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} D_ i^\star & = \left[ h_1(t_ i) N_1^\star (i) + h_2(t_ i) N_2^\star (i) \right] \left( \frac{1}{b} \right) \\ r_ i^\star & = \left\{ \begin{array}{ll} 1, & \mbox{log-rank} \\ N_1^\star (i) + N_2^\star (i), & \mbox{Gehan} \\ \sqrt{N_1^\star (i) + N_2^\star (i)}, & \mbox{Tarone-Ware} \\ \end{array} \right. \\ N_ j^\star (0) & = w_ j \\ N_ j^\star (i+1) & = N_ j^\star (i) \left[ 1 - h_ j(t_ i) \left( \frac{1}{b} \right) - \Psi _ j (t_ i) \left( \frac{1}{b} \right) - \left( \frac{1}{b(T + \tau - t_ i)} \right) 1_{\{ t_ i > \tau \} } \right] \\ \end{align*}