Alternative Equation Formats

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

MathML

\begin{array}{rcl} \hat{f} (x, y) & = & \frac{1}{n} \sum_{i = 1}^{n} φ_{h} (x - X_{i}, y - Y_{i}) \\ = & \frac{1}{n h_{X} h_{Y}} \sum_{i = 1}^{n} φ (\frac{x - X_{i}}{h_{X}}, \frac{y - Y_{i}}{h_{Y}}) \end{array}

MathML rendered with MathJax

\begin{array}{rcl} \hat{f} (x, y) & = & \frac{1}{n} \sum_{i = 1}^{n} φ_{h} (x - X_{i}, y - Y_{i}) \\ = & \frac{1}{n h_{X} h_{Y}} \sum_{i = 1}^{n} φ (\frac{x - X_{i}}{h_{X}}, \frac{y - Y_{i}}{h_{Y}}) \end{array}

Math as LaTeX Source

\begin{eqnarray*} \hat{f}(x,y) & = & \frac{1}{n} \sum _{i=1}^{n} \varphi _{\Strong{h}}(x-X_{i},y-Y_{i}) \\ & = & \frac{1}{nh_{X}h_{Y}} \sum _{i=1}^{n}\varphi \left( \frac{x-X_{i}}{h_{X}}, \frac{y-Y_{i}}{h_{Y}} \right) \end{eqnarray*}