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 n ( y ) = { 0  if  y < x [ 1 ] undefined  if  x [ 2 k 1 ] y < x [ 2 k ] , k = 1 , , ( N 1 ) / 2 F [ 2 k ] = F [ 2 k + 1 ]  if  x [ 2 k ] y < x [ 2 k + 1 ] , k = 1 , , ( N 1 ) / 2 F [ N ]  if  x [ N ] y

Math Rendered as SVG

Math as LaTeX Source

\[ F_ n(y) = \left\{ \begin{array}{ll} 0 & \text { if } y < x[1] \\ \text {undefined} & \text { if } x[2k-1] \leq y < x[2k], k = 1, \dotsc , (N-1)/2 \\ F[2k] = F[2k+1] & \text { if } x[2k] \leq y < x[2k+1], k = 1, \dotsc , (N-1)/2 \\ F[N] & \text { if } x[N] \leq y \end{array} \right. \]