Alternative Equation Formats

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MathML

Q ^ D ( p ^ D L ) = { y ( 1 )  if  p ^ D L < F ^ D ( y ( 1 ) ) y ( k L ) + ( p ^ D L F ^ D ( y ( k L ) ) ) ( y ( k L + 1 ) y ( k L ) ) F ^ D ( y ( k L + 1 ) ) F ^ D ( y ( k L ) )  if  F ^ D ( y ( k L ) ) p ^ D L < F ^ D ( y ( k L + 1 ) ) y ( d )  if  p ^ D L = 1

Math Rendered as SVG

Math as LaTeX Source

\[ \hat Q_ D(\hat{p}_{DL})= \left\{ \begin{array}{ll} y_{(1)} & \mbox{ if } \hat{p}_{DL}<\hat F_ D(y_{(1)}) \\ y_{(k_ L)}+\displaystyle {\frac{(\hat{p}_{DL}-\hat F_ D(y_{(k_ L)}))(y_{(k_ L+1)}-y_{(k_ L)})}{\hat F_ D(y_{(k_ L+1)})-\hat F_ D(y_{(k_ L)})}} & \mbox{ if } \hat F_ D(y_{(k_ L)}) \le \hat p_{DL} < \hat F_ D(y_{(k_ L+1)}) \\ y_{(d)} & \mbox{ if } \hat p_{DL}=1 \end{array} \right. \]