Alternative Equation Formats

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

MathML

χ_{k_{0}} (s) = {\begin{cases} \frac{s^{2}}{2} & if | s | \leq 2 k_{0} \\ k_{0}^{2} [b_{0} + b_{1} (\frac{s}{k_{0}})^{2} + b_{2} (\frac{s}{k_{0}})^{4} \\ + b_{3} (\frac{s}{k_{0}})^{6} + b_{4} (\frac{s}{k_{0}})^{8}] & if 2 k_{0} < | s | \leq 3 k_{0} \\ 3.25 k_{0}^{2} & if | s | > 3 k_{0} \end{cases}

Math Rendered as SVG

Math as LaTeX Source

\[ \chi _{k_0}(s) = \left\{ \begin{array}{lll} {s^2 \over 2} & {\mbox{if }} |s| \leq 2 k_0 \\ k_0^2 [ b_0 + b_1({s\over k_0})^2 + b_2({s\over k_0})^4 & \\ + b_3({s\over k_0})^6 + b_4({s\over k_0})^8] & {\mbox{if }} 2 k_0 < |s| \leq 3 k_0\\ 3.25 k_0^2 & {\mbox{if }} |s| >3 k_0 \end{array} \right. \]