Alternative Equation Formats

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MathML

Q ^ ( r ) ( p ) = { y ( 1 ) ( r )  if  p < F ^ ( r ) ( y ( 1 ) ( r ) ) y ( k ) ( r ) + p F ^ ( r ) ( y ( k ) ( r ) ) F ^ ( r ) ( y ( k + 1 ) ( r ) ) F ^ ( r ) ( y ( k ) ( r ) ) ( y ( k + 1 ) ( r ) y ( k ) ( r ) )  if  F ^ ( r ) ( y ( k ) ( r ) ) p < F ^ ( r ) ( y ( k + 1 ) ( r ) ) y ( n ( r ) ) ( r )  if  p = 1

Math Rendered as SVG

Math as LaTeX Source

\[ \hat Q^{(r)}(p)= \left\{ \begin{array}{ll} y^{(r)}_{(1)} & \mbox{ if } p<\hat F^{(r)}(y^{(r)}_{(1)}) \\ y^{(r)}_{(k)}+\displaystyle {\frac{p-\hat F^{(r)}(y^{(r)}_{(k)})}{\hat F^{(r)}(y^{(r)}_{(k+1)})-\hat F^{(r)}(y^{(r)}_{(k)})}} (y^{(r)}_{(k+1)}-y^{(r)}_{(k)}) & \mbox{ if } \hat F^{(r)}(y^{(r)}_{(k)}) \le p < \hat F^{(r)}(y^{(r)}_{(k+1)}) \\ y^{(r)}_{(n^{(r)})} & \mbox{ if } p=1 \end{array} \right. \]