Alternative Equation Formats

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MathML

{A U C}_{t_{m}} = \frac{\sum_{k = 1}^{m} γ_{k} λ (t_{k}) (1 - λ (t_{k})) S (t_{k - 1}) - \sum_{k = 1}^{m} τ_{k} λ (t_{k}) (1 - S (t_{k - 1})) S (t_{k - 1})}{S (t_{m}) (1 - S (t_{m}))}

Math Rendered as SVG

Math as LaTeX Source

\[ {\mathop {\mathrm{AUC}}}_{t_ m} = \frac{ \sum _{k=1}^ m \gamma _ k \lambda (t_ k)(1-\lambda (t_ k))S(t_{k-1}) - \sum _{k=1}^{m} \tau _ k \lambda (t_ k) (1-S(t_{k-1}))S(t_{k-1}) }{S(t_ m)(1-S(t_ m))} \]