Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

F ^ 1 ( t ) = { r ( 1 ) if  t [ 0 , 0.5 / n ) 0.5 + ( n t i ) n r ( i + 1 ) + 0.5 ( n t i ) n r ( i ) if  t [ ( i 0.5 ) / n , ( i + 0.5 ) / n ) r ( n ) if  t [ ( n 0.5 ) / n , 1 ]

Math Rendered as SVG

Math as LaTeX Source

\[ {\hat F}^{-1}(t) = \left\{ \begin{array}{ll} r_{(1)} & {\mbox{if }} t\in [0, 0.5\slash n) \\ {0.5+(nt-i)\over n}r_{(i+1)} + {0.5-(nt-i)\over n}r_{(i)} & {\mbox{if }} t\in [(i-0.5)\slash n, (i+0.5)\slash n) \\ r_{(n)} & {\mbox{if }} t\in [(n-0.5)/n, 1] \\ \end{array} \right. \]