Alternative Equation Formats

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MathML

\begin{array}{rcl} \tilde{F} (x_{k}) & = & [\sum_{n = 1}^{ℓ} \hat{f} (x_{k}, y_{n}) - \frac{1}{2} (\hat{f} (x_{k}, y_{1}) + \hat{f} (x_{k}, y_{ℓ}))] δ_{Y} \\ \tilde{F} (x_{k}, y_{ℓ}) & \approx & [\sum_{m = 1}^{k} \hat{F} (x_{m}) - \frac{1}{2} (\hat{F} (x_{1}) + \hat{F} (x_{k}))] δ_{X} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \tilde{F}(x_{k}) & = & \left[\sum _{n=1}^{\ell } \hat{f}(x_{k},y_{n}) - \frac{1}{2} (\hat{f}(x_{k},y_{1}) + \hat{f}(x_{k},y_{\ell })) \right]\delta _{Y} \\ \tilde{F}(x_{k},y_{\ell }) & \approx & \left[\sum _{m=1}^{k} \hat{F}(x_{m}) - \frac{1}{2} (\hat{F}(x_{1}) + \hat{F}(x_{k})) \right]\delta _{X} \end{eqnarray*}