Alternative Equation Formats

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MathML

τ ^ y { < τ 1 if  y < Q ^ ( τ 1 ) = λ τ i + 1 + ( 1 λ ) τ i if  Q ^ ( τ i ) y Q ^ ( τ i + 1 )  for  λ = ( y Q ^ ( τ i ) ) / ( Q ^ ( τ i + 1 ) Q ^ ( τ i ) ) > τ q if  y > Q ^ ( τ q )

Math Rendered as SVG

Math as LaTeX Source

\[ \displaystyle \hat{\tau }_ y \left\{ \begin{array}{ll} <\tau _1 & {\mbox{if }} y<\widehat{Q}(\tau _1) \\ =\lambda \tau _{i+1}+(1-\lambda )\tau _ i & {\mbox{if }} \widehat{Q}(\tau _ i)\le y\le \widehat{Q}(\tau _{i+1}) \mbox{ for }\lambda =\left(y-\widehat{Q}(\tau _ i)\right)\Big/ \left(\widehat{Q}(\tau _{i+1})-\widehat{Q}(\tau _ i)\right)\\ >\tau _ q & {\mbox{if }} y>\widehat{Q}(\tau _ q) \\ \end{array} \right. \]