Alternative Equation Formats

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

MathML

AMISE(hX,hY)=14πnhXhY+hX44∫(∂2f∂X2)2dxdy+hY44∫(∂2f∂Y2)2dxdy

MathML rendered with MathJax

AMISE(hX,hY)=14πnhXhY+hX44∫(∂2f∂X2)2dxdy+hY44∫(∂2f∂Y2)2dxdy

Math as LaTeX Source

\begin{eqnarray*} \textrm{AMISE}(h_{X},h_{Y}) & = & \frac{1}{4\pi n h_{X} h_{Y}} + \frac{h_{X}^{4}}{4}\int \left(\frac{\partial ^{2}f}{\partial X^{2}}\right)^{2}\, dx\, dy \\ & & {} + \frac{h_{Y}^{4}}{4}\int \left(\frac{\partial ^{2}f}{\partial Y^{2}}\right)^{2}\, dx\, dy \end{eqnarray*}